%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SWW216+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n025.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 0s
% DateTime : Wed Jul 20 23:21:18 EDT 2022

% Result   : Theorem 8.09s 8.47s
% Output   : Refutation 8.09s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWW216+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.14  % Command  : bliksem %s
% 0.13/0.35  % Computer : n025.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % DateTime : Mon Jun  6 08:34:03 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.97/1.57  *** allocated 10000 integers for termspace/termends
% 0.97/1.57  *** allocated 10000 integers for clauses
% 0.97/1.57  *** allocated 10000 integers for justifications
% 0.97/1.57  *** allocated 15000 integers for termspace/termends
% 0.97/1.57  *** allocated 22500 integers for termspace/termends
% 0.97/1.57  *** allocated 33750 integers for termspace/termends
% 0.97/1.57  Bliksem 1.12
% 0.97/1.57  
% 0.97/1.57  
% 0.97/1.57  Automatic Strategy Selection
% 0.97/1.57  
% 0.97/1.57  *** allocated 50625 integers for termspace/termends
% 0.97/1.57  *** allocated 75937 integers for termspace/termends
% 0.97/1.57  *** allocated 113905 integers for termspace/termends
% 0.97/1.57  
% 0.97/1.57  Clauses:
% 0.97/1.57  
% 0.97/1.57  { ! hAPP( Y, skol1( X, Y ) ) = hAPP( X, skol1( X, Y ) ), Y = X }.
% 0.97/1.57  { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), v_m____ ) }.
% 0.97/1.57  { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, v_da____, 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, v_e, v_m____ ) ) }.
% 0.97/1.57  { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), v_e ) }.
% 0.97/1.57  { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), v_da____ ) }.
% 0.97/1.57  { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, v_da____, 
% 0.97/1.57    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.97/1.57  { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, v_d____ ), v_m____ ), 
% 0.97/1.57    v_e ) }.
% 0.97/1.57  { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, v_d____, 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, v_e, v_m____ ) ) }.
% 0.97/1.57  { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, v_d____ ), v_m____ ) ) }
% 0.97/1.57    .
% 0.97/1.57  { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, v_e, v_m____ ) ) }.
% 0.97/1.57  { hAPP( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y ), X ) = hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X ), Y ) }.
% 0.97/1.57  { hAPP( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z ), Y ) ), X ) = hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y ), X ) ) }.
% 0.97/1.57  { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), v_d____ ) }.
% 0.97/1.57  { ! class_Lattices_Oab__semigroup__idem__mult( X ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Y ), Y ) = Y }.
% 0.97/1.57  { ! class_Lattices_Oab__semigroup__idem__mult( X ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Y ), Y ) = Y }.
% 0.97/1.57  { ! class_Rings_Ocomm__semiring__1( X ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Z ), Y ) = hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Y ), Z ) }.
% 0.97/1.57  { ! class_Lattices_Oab__semigroup__idem__mult( X ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Z ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Z ), Y ) ) = hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Z ), Y ) }.
% 0.97/1.57  { ! class_Rings_Ocomm__semiring__1( X ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, T ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Z ), Y ) ) = hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Z ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, T ), Y ) ) }.
% 0.97/1.57  { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, v_d____, 
% 0.97/1.57    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.97/1.57  { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), 
% 0.97/1.57    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.97/1.57  { ! c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) = 
% 0.97/1.57    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.97/1.57  { ! class_Rings_Ocomm__semiring__1( X ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Y ), c_Groups_Oone__class_Oone( X ) ) =
% 0.97/1.57     Y }.
% 0.97/1.57  { ! class_Rings_Ocomm__semiring__1( X ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, c_Groups_Oone__class_Oone( X ) ), Y ) =
% 0.97/1.57     Y }.
% 0.97/1.57  { ! class_Rings_Ocomm__semiring__1( X ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Y ), c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.57     = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.57  { ! class_Rings_Ocomm__semiring__1( X ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, c_Groups_Ozero__class_Ozero( X ) ), Y )
% 0.97/1.57     = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.57  { hAPP( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ), X ) = X }.
% 0.97/1.57  { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X ), Z ) = hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X ), Y ), Z = Y }.
% 0.97/1.57  { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! Z = Y, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X ), Z ) = hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X ), Y ) }.
% 0.97/1.57  { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z ), X ) = hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y ), X ), Z = Y }.
% 0.97/1.57  { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! Z = Y, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z ), X ) = hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y ), X ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Z, Y ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X ), Z ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X ), Y ) ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X ), Y ) ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z ), X ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y ), X ) ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Z, Y ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Z, Y ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z ), X ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y ), X ) ) }.
% 0.97/1.57  { ! class_Rings_Ocomm__semiring__1( X ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, hAPP( c_Groups_Otimes__class_Otimes( X
% 0.97/1.57    , U ), T ) ), hAPP( c_Groups_Otimes__class_Otimes( X, Z ), Y ) ) = hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, hAPP( c_Groups_Otimes__class_Otimes( X
% 0.97/1.57    , U ), Z ) ), hAPP( c_Groups_Otimes__class_Otimes( X, T ), Y ) ) }.
% 0.97/1.57  { ! class_Rings_Ocomm__semiring__1( X ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, hAPP( c_Groups_Otimes__class_Otimes( X
% 0.97/1.57    , U ), T ) ), hAPP( c_Groups_Otimes__class_Otimes( X, Z ), Y ) ) = hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Z ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, hAPP( c_Groups_Otimes__class_Otimes( X
% 0.97/1.57    , U ), T ) ), Y ) ) }.
% 0.97/1.57  { ! class_Rings_Ocomm__semiring__1( X ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, hAPP( c_Groups_Otimes__class_Otimes( X
% 0.97/1.57    , U ), T ) ), hAPP( c_Groups_Otimes__class_Otimes( X, Z ), Y ) ) = hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, U ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, T ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Z ), Y ) ) ) }.
% 0.97/1.57  { ! class_Rings_Ocomm__semiring__1( X ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, hAPP( c_Groups_Otimes__class_Otimes( X
% 0.97/1.57    , T ), Z ) ), Y ) = hAPP( c_Groups_Otimes__class_Otimes( X, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, T ), Y ) ), Z ) }.
% 0.97/1.57  { ! class_Rings_Ocomm__semiring__1( X ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, hAPP( c_Groups_Otimes__class_Otimes( X
% 0.97/1.57    , T ), Z ) ), Y ) = hAPP( c_Groups_Otimes__class_Otimes( X, T ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Z ), Y ) ) }.
% 0.97/1.57  { ! class_Rings_Ocomm__semiring__1( X ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, T ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Z ), Y ) ) = hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, hAPP( c_Groups_Otimes__class_Otimes( X
% 0.97/1.57    , T ), Z ) ), Y ) }.
% 0.97/1.57  { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol2 ) }.
% 0.97/1.57  { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, skol2, 
% 0.97/1.57    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.97/1.57  { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, skol2, 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, v_e, v_m____ ) ) }.
% 0.97/1.57  { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol3 ) }.
% 0.97/1.57  { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, skol3, 
% 0.97/1.57    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.97/1.57  { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, skol3, 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, v_e, v_m____ ) ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless( 
% 0.97/1.57    X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, T, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless( X, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), hAPP( c_Groups_Otimes__class_Otimes( X
% 0.97/1.57    , Z ), Y ) ), c_Orderings_Oord__class_Oless( X, 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, T, Z ), 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, T, Y ) ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless( 
% 0.97/1.57    X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), T ), ! c_Orderings_Oord__class_Oless( X
% 0.97/1.57    , c_Groups_Ozero__class_Ozero( X ), hAPP( c_Groups_Otimes__class_Otimes( 
% 0.97/1.57    X, Y ), Z ) ), c_Orderings_Oord__class_Oless( X, 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, T, Y ), 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, T, Z ) ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless( 
% 0.97/1.57    X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.97/1.57    ( X, c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, hAPP( c_Groups_Otimes__class_Otimes( X
% 0.97/1.57    , Z ), Y ), T ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless( 
% 0.97/1.57    X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.97/1.57    ( X, hAPP( c_Groups_Otimes__class_Otimes( X, Z ), Y ), T ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T, 
% 0.97/1.57    Y ), Z ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless( 
% 0.97/1.57    X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.97/1.57    ( X, T, c_Rings_Oinverse__class_Odivide( X, Z, Y ) ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, Z, hAPP( c_Groups_Otimes__class_Otimes
% 0.97/1.57    ( X, T ), Y ) ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless( 
% 0.97/1.57    X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.97/1.57    ( X, Z, hAPP( c_Groups_Otimes__class_Otimes( X, T ), Y ) ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X, 
% 0.97/1.57    Z, Y ) ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless( 
% 0.97/1.57    X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.57    ( X, hAPP( c_Groups_Otimes__class_Otimes( X, T ), Y ), Z ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X, 
% 0.97/1.57    Z, Y ) ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless( 
% 0.97/1.57    X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.57    ( X, T, hAPP( c_Groups_Otimes__class_Otimes( X, Z ), Y ) ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T, 
% 0.97/1.57    Y ), Z ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless( 
% 0.97/1.57    X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.57    ( X, c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, T, hAPP( c_Groups_Otimes__class_Otimes
% 0.97/1.57    ( X, Z ), Y ) ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless( 
% 0.97/1.57    X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.57    ( X, T, hAPP( c_Groups_Otimes__class_Otimes( X, Z ), Y ) ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T, 
% 0.97/1.57    Y ), Z ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless( 
% 0.97/1.57    X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.57    ( X, T, c_Rings_Oinverse__class_Odivide( X, Z, Y ) ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, hAPP( c_Groups_Otimes__class_Otimes( X
% 0.97/1.57    , T ), Y ), Z ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless( 
% 0.97/1.57    X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.57    ( X, hAPP( c_Groups_Otimes__class_Otimes( X, T ), Y ), Z ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X, 
% 0.97/1.57    Z, Y ) ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T, 
% 0.97/1.57    Z ), Y ), alpha29( X, Y, Z, T ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T, 
% 0.97/1.57    Z ), Y ), alpha56( X, Y, Z, T ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha29( X, Y, Z
% 0.97/1.57    , T ), ! alpha56( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, T, Z ), Y ) }.
% 0.97/1.57  { ! alpha56( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), Z ), alpha68( X, Y, Z, T ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.97/1.57    , alpha56( X, Y, Z, T ) }.
% 0.97/1.57  { ! alpha68( X, Y, Z, T ), alpha56( X, Y, Z, T ) }.
% 0.97/1.57  { ! alpha68( X, Y, Z, T ), alpha80( X, Y, Z, T ) }.
% 0.97/1.57  { ! alpha68( X, Y, Z, T ), alpha1( X, Y, Z ) }.
% 0.97/1.57  { ! alpha80( X, Y, Z, T ), ! alpha1( X, Y, Z ), alpha68( X, Y, Z, T ) }.
% 0.97/1.57  { ! alpha80( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Z, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, 
% 0.97/1.57    hAPP( c_Groups_Otimes__class_Otimes( X, Y ), Z ), T ) }.
% 0.97/1.57  { c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ), 
% 0.97/1.57    alpha80( X, Y, Z, T ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( X, hAPP( c_Groups_Otimes__class_Otimes( 
% 0.97/1.57    X, Y ), Z ), T ), alpha80( X, Y, Z, T ) }.
% 0.97/1.57  { ! alpha29( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless( X, 
% 0.97/1.57    T, hAPP( c_Groups_Otimes__class_Otimes( X, Y ), Z ) ) }.
% 0.97/1.57  { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ), 
% 0.97/1.57    alpha29( X, Y, Z, T ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( X, T, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Y ), Z ) ), alpha29( X, Y, Z, T ) }.
% 0.97/1.57  { ! alpha1( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.57    , alpha1( X, Y, Z ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.97/1.57    , alpha1( X, Y, Z ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X, 
% 0.97/1.57    Z, Y ) ), alpha30( X, Y, Z, T ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X, 
% 0.97/1.57    Z, Y ) ), alpha57( X, Y, Z, T ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha30( X, Y, Z
% 0.97/1.57    , T ), ! alpha57( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, T, 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.97/1.57  { ! alpha57( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), Y ), alpha69( X, Y, Z, T ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.97/1.57    , alpha57( X, Y, Z, T ) }.
% 0.97/1.57  { ! alpha69( X, Y, Z, T ), alpha57( X, Y, Z, T ) }.
% 0.97/1.57  { ! alpha69( X, Y, Z, T ), alpha81( X, Y, Z, T ) }.
% 0.97/1.57  { ! alpha69( X, Y, Z, T ), alpha2( X, Y, T ) }.
% 0.97/1.57  { ! alpha81( X, Y, Z, T ), ! alpha2( X, Y, T ), alpha69( X, Y, Z, T ) }.
% 0.97/1.57  { ! alpha81( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Y, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, Z, 
% 0.97/1.57    hAPP( c_Groups_Otimes__class_Otimes( X, T ), Y ) ) }.
% 0.97/1.57  { c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ), 
% 0.97/1.57    alpha81( X, Y, Z, T ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( X, Z, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, T ), Y ) ), alpha81( X, Y, Z, T ) }.
% 0.97/1.57  { ! alpha30( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless( X, 
% 0.97/1.57    hAPP( c_Groups_Otimes__class_Otimes( X, T ), Y ), Z ) }.
% 0.97/1.57  { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ), 
% 0.97/1.57    alpha30( X, Y, Z, T ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( X, hAPP( c_Groups_Otimes__class_Otimes( 
% 0.97/1.57    X, T ), Y ), Z ), alpha30( X, Y, Z, T ) }.
% 0.97/1.57  { ! alpha2( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, Z, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.57    , alpha2( X, Y, Z ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.57    , alpha2( X, Y, Z ) }.
% 0.97/1.57  { ! class_Fields_Ofield__inverse__zero( X ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, c_Rings_Oinverse__class_Odivide( X, U, 
% 0.97/1.57    T ) ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) = 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, hAPP( c_Groups_Otimes__class_Otimes( 
% 0.97/1.57    X, U ), Z ), hAPP( c_Groups_Otimes__class_Otimes( X, T ), Y ) ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless( 
% 0.97/1.57    X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, T, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, Y, T ), 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless( 
% 0.97/1.57    X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless( X, 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, Z, T ), 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, Y, T ) ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless( 
% 0.97/1.57    X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.97/1.57    ( X, Z, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 0.97/1.57    ( X, c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X
% 0.97/1.57    , Y, Z ) ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless( 
% 0.97/1.57    X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.97/1.57    ( X, c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless
% 0.97/1.57    ( X, c_Rings_Oinverse__class_Odivide( X, Y, Z ), 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless( 
% 0.97/1.57    X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.57    ( X, Z, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 0.97/1.57    ( X, c_Rings_Oinverse__class_Odivide( X, Y, Z ), 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless( 
% 0.97/1.57    X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.57    ( X, c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless
% 0.97/1.57    ( X, c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X
% 0.97/1.57    , Y, Z ) ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, Z, 
% 0.97/1.57    Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha3( X, Y, Z ), alpha31( X, Y
% 0.97/1.57    , Z ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha3( X, Y, Z
% 0.97/1.57     ), c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X
% 0.97/1.57    , Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha31( X, Y, Z
% 0.97/1.57     ), c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X
% 0.97/1.57    , Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57  { ! alpha31( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57  { ! alpha31( X, Y, Z ), c_Orderings_Oord__class_Oless( X, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.57    , ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.57     ), alpha31( X, Y, Z ) }.
% 0.97/1.57  { ! alpha3( X, Y, Z ), c_Orderings_Oord__class_Oless( X, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.97/1.57  { ! alpha3( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.97/1.57    , ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57     ), alpha3( X, Y, Z ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, Z, Y ) ), alpha4( X, Y, Z ), alpha32
% 0.97/1.57    ( X, Y, Z ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha4( X, Y, Z
% 0.97/1.57     ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha32( X, Y, Z
% 0.97/1.57     ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.97/1.57  { ! alpha32( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57  { ! alpha32( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.57    , ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57     ), alpha32( X, Y, Z ) }.
% 0.97/1.57  { ! alpha4( X, Y, Z ), c_Orderings_Oord__class_Oless( X, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.97/1.57  { ! alpha4( X, Y, Z ), c_Orderings_Oord__class_Oless( X, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.97/1.57    , ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.57     ), alpha4( X, Y, Z ) }.
% 0.97/1.57  { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z = 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), ! c_Rings_Oinverse__class_Odivide( X, U
% 0.97/1.57    , Y ) = c_Rings_Oinverse__class_Odivide( X, T, Z ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, U ), Z ) = hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, T ), Y ) }.
% 0.97/1.57  { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z = 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), ! hAPP( c_Groups_Otimes__class_Otimes( 
% 0.97/1.57    X, U ), Z ) = hAPP( c_Groups_Otimes__class_Otimes( X, T ), Y ), 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, U, Y ) = 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, T, Z ) }.
% 0.97/1.57  { ! class_Fields_Ofield__inverse__zero( X ), Y = 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, 
% 0.97/1.57    hAPP( c_Groups_Otimes__class_Otimes( X, Y ), T ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Y ), Z ) ) = 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, T, Z ) }.
% 0.97/1.57  { ! class_Fields_Ofield__inverse__zero( X ), Y = 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, 
% 0.97/1.57    hAPP( c_Groups_Otimes__class_Otimes( X, T ), Y ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Z ), Y ) ) = 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, T, Z ) }.
% 0.97/1.57  { ! class_Fields_Ofield__inverse__zero( X ), ! 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, T, Z ) = Y, alpha33( X, Y, Z, T ) }.
% 0.97/1.57  { ! class_Fields_Ofield__inverse__zero( X ), ! 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, T, Z ) = Y, alpha5( X, Y, Z ) }.
% 0.97/1.57  { ! class_Fields_Ofield__inverse__zero( X ), ! alpha33( X, Y, Z, T ), ! 
% 0.97/1.57    alpha5( X, Y, Z ), c_Rings_Oinverse__class_Odivide( X, T, Z ) = Y }.
% 0.97/1.57  { ! alpha33( X, Y, Z, T ), Z = c_Groups_Ozero__class_Ozero( X ), T = hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Y ), Z ) }.
% 0.97/1.57  { ! Z = c_Groups_Ozero__class_Ozero( X ), alpha33( X, Y, Z, T ) }.
% 0.97/1.57  { ! T = hAPP( c_Groups_Otimes__class_Otimes( X, Y ), Z ), alpha33( X, Y, Z
% 0.97/1.57    , T ) }.
% 0.97/1.57  { ! alpha5( X, Y, Z ), ! Z = c_Groups_Ozero__class_Ozero( X ), Y = 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.57  { Z = c_Groups_Ozero__class_Ozero( X ), alpha5( X, Y, Z ) }.
% 0.97/1.57  { ! Y = c_Groups_Ozero__class_Ozero( X ), alpha5( X, Y, Z ) }.
% 0.97/1.57  { ! class_Fields_Ofield__inverse__zero( X ), ! T = 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, Z, Y ), alpha34( X, Y, Z, T ) }.
% 0.97/1.57  { ! class_Fields_Ofield__inverse__zero( X ), ! T = 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, Z, Y ), alpha6( X, Y, T ) }.
% 0.97/1.57  { ! class_Fields_Ofield__inverse__zero( X ), ! alpha34( X, Y, Z, T ), ! 
% 0.97/1.57    alpha6( X, Y, T ), T = c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.97/1.57  { ! alpha34( X, Y, Z, T ), Y = c_Groups_Ozero__class_Ozero( X ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, T ), Y ) = Z }.
% 0.97/1.57  { ! Y = c_Groups_Ozero__class_Ozero( X ), alpha34( X, Y, Z, T ) }.
% 0.97/1.57  { ! hAPP( c_Groups_Otimes__class_Otimes( X, T ), Y ) = Z, alpha34( X, Y, Z
% 0.97/1.57    , T ) }.
% 0.97/1.57  { ! alpha6( X, Y, Z ), ! Y = c_Groups_Ozero__class_Ozero( X ), Z = 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.57  { Y = c_Groups_Ozero__class_Ozero( X ), alpha6( X, Y, Z ) }.
% 0.97/1.57  { ! Z = c_Groups_Ozero__class_Ozero( X ), alpha6( X, Y, Z ) }.
% 0.97/1.57  { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X ), X ) ), X = 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.97/1.57  { ! X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X ), X ) ) }.
% 0.97/1.57  { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57    , ! c_Rings_Oinverse__class_Odivide( X, Z, Y ) = 
% 0.97/1.57    c_Groups_Oone__class_Oone( X ), Z = Y }.
% 0.97/1.57  { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57    , ! Z = Y, c_Rings_Oinverse__class_Odivide( X, Z, Y ) = 
% 0.97/1.57    c_Groups_Oone__class_Oone( X ) }.
% 0.97/1.57  { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57    , c_Rings_Oinverse__class_Odivide( X, Y, Y ) = c_Groups_Oone__class_Oone
% 0.97/1.57    ( X ) }.
% 0.97/1.57  { ! class_Rings_Odivision__ring__inverse__zero( X ), ! Y = 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y, 
% 0.97/1.57    Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.57  { ! class_Rings_Odivision__ring__inverse__zero( X ), Y = 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y, 
% 0.97/1.57    Y ) = c_Groups_Oone__class_Oone( X ) }.
% 0.97/1.57  { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57    , ! hAPP( c_Groups_Otimes__class_Otimes( X, T ), Y ) = Z, T = 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.97/1.57  { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57    , ! T = hAPP( c_Groups_Otimes__class_Otimes( X, Z ), Y ), 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, T, Y ) = Z }.
% 0.97/1.57  { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57    , ! c_Rings_Oinverse__class_Odivide( X, T, Y ) = Z, T = hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Z ), Y ) }.
% 0.97/1.57  { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57    , ! T = hAPP( c_Groups_Otimes__class_Otimes( X, Z ), Y ), 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, T, Y ) = Z }.
% 0.97/1.57  { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57    , ! T = c_Rings_Oinverse__class_Odivide( X, Z, Y ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, T ), Y ) = Z }.
% 0.97/1.57  { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57    , ! hAPP( c_Groups_Otimes__class_Otimes( X, T ), Y ) = Z, T = 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.97/1.57    ( X, c_Groups_Oone__class_Oone( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.57    ( X, c_Groups_Oone__class_Oone( X ), Z ), c_Orderings_Oord__class_Oless( 
% 0.97/1.57    X, c_Groups_Oone__class_Oone( X ), hAPP( c_Groups_Otimes__class_Otimes( X
% 0.97/1.57    , Y ), Z ) ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__semidom( X ), c_Orderings_Oord__class_Oless( X
% 0.97/1.57    , c_Groups_Ozero__class_Ozero( X ), c_Groups_Oone__class_Oone( X ) ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.97/1.57    ( X, c_Groups_Oone__class_Oone( X ), c_Groups_Ozero__class_Ozero( X ) ) }
% 0.97/1.57    .
% 0.97/1.57  { ! class_Rings_Olinordered__idom( X ), Z = Y, 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless( 
% 0.97/1.57    X, Y, Z ) }.
% 0.97/1.57  { ! class_Rings_Ono__zero__divisors( X ), ! hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Z ), Y ) = c_Groups_Ozero__class_Ozero
% 0.97/1.57    ( X ), Z = c_Groups_Ozero__class_Ozero( X ), Y = 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.57  { ! class_Rings_Ono__zero__divisors( X ), Y = c_Groups_Ozero__class_Ozero( 
% 0.97/1.57    X ), Z = c_Groups_Ozero__class_Ozero( X ), ! hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Y ), Z ) = c_Groups_Ozero__class_Ozero
% 0.97/1.57    ( X ) }.
% 0.97/1.57  { ! class_Rings_Oring__no__zero__divisors( X ), ! hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Z ), Y ) = c_Groups_Ozero__class_Ozero
% 0.97/1.57    ( X ), Z = c_Groups_Ozero__class_Ozero( X ), Y = 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.57  { ! class_Rings_Oring__no__zero__divisors( X ), ! Z = 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), hAPP( c_Groups_Otimes__class_Otimes( X
% 0.97/1.57    , Z ), Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.57  { ! class_Rings_Oring__no__zero__divisors( X ), ! Y = 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), hAPP( c_Groups_Otimes__class_Otimes( X
% 0.97/1.57    , Z ), Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.57  { ! class_Rings_Omult__zero( X ), hAPP( c_Groups_Otimes__class_Otimes( X, Y
% 0.97/1.57     ), c_Groups_Ozero__class_Ozero( X ) ) = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57     }.
% 0.97/1.57  { ! class_Rings_Omult__zero( X ), hAPP( c_Groups_Otimes__class_Otimes( X, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ) ), Y ) = c_Groups_Ozero__class_Ozero( X
% 0.97/1.57     ) }.
% 0.97/1.57  { ! class_Rings_Ozero__neq__one( X ), ! c_Groups_Oone__class_Oone( X ) = 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.57  { ! class_Rings_Ozero__neq__one( X ), ! c_Groups_Ozero__class_Ozero( X ) = 
% 0.97/1.57    c_Groups_Oone__class_Oone( X ) }.
% 0.97/1.57  { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57     }.
% 0.97/1.57  { ! class_Rings_Odivision__ring__inverse__zero( X ), 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.57     = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.57  { ! class_Rings_Odivision__ring( X ), hAPP( c_Groups_Otimes__class_Otimes( 
% 0.97/1.57    X, T ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) = 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, hAPP( c_Groups_Otimes__class_Otimes( 
% 0.97/1.57    X, T ), Z ), Y ) }.
% 0.97/1.57  { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X, Y
% 0.97/1.57    , c_Groups_Oone__class_Oone( X ) ) = Y }.
% 0.97/1.57  { c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y ), X ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y ), Y ) ) = 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X, Y ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__ring__strict( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.57    ( X, T, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 0.97/1.57    ( X, hAPP( c_Groups_Otimes__class_Otimes( X, T ), Y ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, T ), Z ) ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__ring__strict( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.57    ( X, T, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 0.97/1.57    ( X, hAPP( c_Groups_Otimes__class_Otimes( X, Y ), T ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Z ), T ) ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__comm__semiring__strict( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.57    ( X, c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless
% 0.97/1.57    ( X, hAPP( c_Groups_Otimes__class_Otimes( X, T ), Z ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, T ), Y ) ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__semiring__strict( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.57    ( X, c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless
% 0.97/1.57    ( X, hAPP( c_Groups_Otimes__class_Otimes( X, T ), Z ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, T ), Y ) ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__semiring__strict( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.57    ( X, c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless
% 0.97/1.57    ( X, hAPP( c_Groups_Otimes__class_Otimes( X, Z ), T ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Y ), T ) ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__ring__strict( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ), 
% 0.97/1.57    ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.57    , c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), 
% 0.97/1.57    hAPP( c_Groups_Otimes__class_Otimes( X, Y ), Z ) ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__semiring__strict( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ), 
% 0.97/1.57    ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.97/1.57    , c_Orderings_Oord__class_Oless( X, hAPP( c_Groups_Otimes__class_Otimes( 
% 0.97/1.57    X, Y ), Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__ring__strict( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ), 
% 0.97/1.57    ! c_Orderings_Oord__class_Oless( X, hAPP( c_Groups_Otimes__class_Otimes( 
% 0.97/1.57    X, Y ), T ), hAPP( c_Groups_Otimes__class_Otimes( X, Y ), Z ) ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__ring__strict( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ), 
% 0.97/1.57    ! c_Orderings_Oord__class_Oless( X, Z, T ), c_Orderings_Oord__class_Oless
% 0.97/1.57    ( X, hAPP( c_Groups_Otimes__class_Otimes( X, Y ), T ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Y ), Z ) ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__semiring__strict( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), hAPP
% 0.97/1.57    ( c_Groups_Otimes__class_Otimes( X, Z ), Y ) ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ) }
% 0.97/1.57    .
% 0.97/1.57  { ! class_Rings_Olinordered__semiring__strict( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), hAPP
% 0.97/1.57    ( c_Groups_Otimes__class_Otimes( X, Z ), Y ) ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ) }
% 0.97/1.57    .
% 0.97/1.57  { ! class_Rings_Olinordered__semiring__strict( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ), 
% 0.97/1.57    ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.57    , c_Orderings_Oord__class_Oless( X, hAPP( c_Groups_Otimes__class_Otimes( 
% 0.97/1.57    X, Z ), Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__semiring__strict( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ), 
% 0.97/1.57    ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.57    , c_Orderings_Oord__class_Oless( X, hAPP( c_Groups_Otimes__class_Otimes( 
% 0.97/1.57    X, Y ), Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__semiring__strict( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ), 
% 0.97/1.57    ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.97/1.57    , c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), 
% 0.97/1.57    hAPP( c_Groups_Otimes__class_Otimes( X, Y ), Z ) ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__ring__strict( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ), 
% 0.97/1.57    ! c_Orderings_Oord__class_Oless( X, hAPP( c_Groups_Otimes__class_Otimes( 
% 0.97/1.57    X, Y ), T ), hAPP( c_Groups_Otimes__class_Otimes( X, Y ), Z ) ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, T, Z ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__ring__strict( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ), 
% 0.97/1.57    ! c_Orderings_Oord__class_Oless( X, T, Z ), c_Orderings_Oord__class_Oless
% 0.97/1.57    ( X, hAPP( c_Groups_Otimes__class_Otimes( X, Y ), T ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Y ), Z ) ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__ring__strict( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, hAPP( c_Groups_Otimes__class_Otimes( X
% 0.97/1.57    , T ), Z ), hAPP( c_Groups_Otimes__class_Otimes( X, T ), Y ) ), alpha7( X
% 0.97/1.57    , Y, Z, T ), alpha35( X, Y, Z, T ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__ring__strict( X ), ! alpha7( X, Y, Z, T ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, hAPP( c_Groups_Otimes__class_Otimes( X
% 0.97/1.57    , T ), Z ), hAPP( c_Groups_Otimes__class_Otimes( X, T ), Y ) ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__ring__strict( X ), ! alpha35( X, Y, Z, T ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, hAPP( c_Groups_Otimes__class_Otimes( X
% 0.97/1.57    , T ), Z ), hAPP( c_Groups_Otimes__class_Otimes( X, T ), Y ) ) }.
% 0.97/1.57  { ! alpha35( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, T, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57  { ! alpha35( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( X, T, c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.57    , ! c_Orderings_Oord__class_Oless( X, Y, Z ), alpha35( X, Y, Z, T ) }.
% 0.97/1.57  { ! alpha7( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), T ) }.
% 0.97/1.57  { ! alpha7( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T )
% 0.97/1.57    , ! c_Orderings_Oord__class_Oless( X, Z, Y ), alpha7( X, Y, Z, T ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__ring__strict( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, hAPP( c_Groups_Otimes__class_Otimes( X
% 0.97/1.57    , T ), Z ), hAPP( c_Groups_Otimes__class_Otimes( X, Y ), Z ) ), alpha8( X
% 0.97/1.57    , Y, Z, T ), alpha36( X, Y, Z, T ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__ring__strict( X ), ! alpha8( X, Y, Z, T ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, hAPP( c_Groups_Otimes__class_Otimes( X
% 0.97/1.57    , T ), Z ), hAPP( c_Groups_Otimes__class_Otimes( X, Y ), Z ) ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__ring__strict( X ), ! alpha36( X, Y, Z, T ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, hAPP( c_Groups_Otimes__class_Otimes( X
% 0.97/1.57    , T ), Z ), hAPP( c_Groups_Otimes__class_Otimes( X, Y ), Z ) ) }.
% 0.97/1.57  { ! alpha36( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, Z, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57  { ! alpha36( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, Y, T ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.57    , ! c_Orderings_Oord__class_Oless( X, Y, T ), alpha36( X, Y, Z, T ) }.
% 0.97/1.57  { ! alpha8( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.97/1.57  { ! alpha8( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.97/1.57    , ! c_Orderings_Oord__class_Oless( X, T, Y ), alpha8( X, Y, Z, T ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__ring( X ), ! c_Orderings_Oord__class_Oless( X
% 0.97/1.57    , hAPP( c_Groups_Otimes__class_Otimes( X, Y ), Y ), 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57  { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), v_da____ ) }.
% 0.97/1.57  { ! class_RealVector_Oreal__normed__field( X ), 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.97/1.57     = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.57  { ! class_Groups_Ocomm__monoid__mult( X ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Y ), c_Groups_Oone__class_Oone( X ) ) =
% 0.97/1.57     Y }.
% 0.97/1.57  { ! class_Groups_Omonoid__mult( X ), hAPP( c_Groups_Otimes__class_Otimes( X
% 0.97/1.57    , Y ), c_Groups_Oone__class_Oone( X ) ) = Y }.
% 0.97/1.57  { ! class_Groups_Ocomm__monoid__mult( X ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, c_Groups_Oone__class_Oone( X ) ), Y ) =
% 0.97/1.57     Y }.
% 0.97/1.57  { ! class_Groups_Omonoid__mult( X ), hAPP( c_Groups_Otimes__class_Otimes( X
% 0.97/1.57    , c_Groups_Oone__class_Oone( X ) ), Y ) = Y }.
% 0.97/1.57  { ! class_RealVector_Oreal__normed__algebra( X ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Y ), c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.57     = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.57  { ! class_RealVector_Oreal__normed__algebra( X ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Y ), c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.57     = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.57  { ! class_RealVector_Oreal__normed__algebra( X ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, c_Groups_Ozero__class_Ozero( X ) ), Y )
% 0.97/1.57     = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.57  { ! class_RealVector_Oreal__normed__algebra( X ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, c_Groups_Ozero__class_Ozero( X ) ), Y )
% 0.97/1.57     = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.57  { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, X ) }.
% 0.97/1.57  { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, Y ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, Z ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, Z ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, Y ), Y = X }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ), ! Y = X }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ), Y = X, 
% 0.97/1.57    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ), Y = X }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.97/1.57  { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.97/1.57  { ! class_Rings_Oordered__cancel__semiring( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.97/1.57     ), ! c_Orderings_Oord__class_Oless__eq( X, Y, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.57    , hAPP( c_Groups_Otimes__class_Otimes( X, Z ), Y ), 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57  { ! class_Rings_Oordered__cancel__semiring( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57     ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( 
% 0.97/1.57    X ), Y ), c_Orderings_Oord__class_Oless__eq( X, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Z ), Y ), c_Groups_Ozero__class_Ozero( 
% 0.97/1.57    X ) ) }.
% 0.97/1.57  { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.57    , c_Groups_Ozero__class_Ozero( X ), Z ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.57     ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.97/1.57     ), hAPP( c_Groups_Otimes__class_Otimes( X, Z ), Y ) ) }.
% 0.97/1.57  { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.57    , Z, c_Groups_Ozero__class_Ozero( X ) ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57     ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.97/1.57     ), hAPP( c_Groups_Otimes__class_Otimes( X, Z ), Y ) ) }.
% 0.97/1.57  { ! class_Rings_Oordered__semiring( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, U, T ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.57     ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( 
% 0.97/1.57    X ), U ), c_Orderings_Oord__class_Oless__eq( X, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Z ), U ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Y ), T ) ) }.
% 0.97/1.57  { ! class_Rings_Oordered__semiring( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, U, T ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.97/1.57     ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( 
% 0.97/1.57    X ), U ), c_Orderings_Oord__class_Oless__eq( X, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Z ), U ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Y ), T ) ) }.
% 0.97/1.57  { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.57    , Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, T, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.57    , hAPP( c_Groups_Otimes__class_Otimes( X, T ), Y ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, T ), Z ) ) }.
% 0.97/1.57  { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.57    , Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, T, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.57    , hAPP( c_Groups_Otimes__class_Otimes( X, Y ), T ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Z ), T ) ) }.
% 0.97/1.57  { ! class_Rings_Oordered__comm__semiring( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.97/1.57     ), c_Orderings_Oord__class_Oless__eq( X, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, T ), Z ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, T ), Y ) ) }.
% 0.97/1.57  { ! class_Rings_Oordered__semiring( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.97/1.57     ), c_Orderings_Oord__class_Oless__eq( X, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, T ), Z ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, T ), Y ) ) }.
% 0.97/1.57  { ! class_Rings_Oordered__semiring( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.97/1.57     ), c_Orderings_Oord__class_Oless__eq( X, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Z ), T ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Y ), T ) ) }.
% 0.97/1.57  { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.57    , Y, c_Groups_Ozero__class_Ozero( X ) ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57     ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.97/1.57     ), hAPP( c_Groups_Otimes__class_Otimes( X, Y ), Z ) ) }.
% 0.97/1.57  { ! class_Rings_Oordered__cancel__semiring( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57     ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( 
% 0.97/1.57    X ), Z ), c_Orderings_Oord__class_Oless__eq( X, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Y ), Z ), c_Groups_Ozero__class_Ozero( 
% 0.97/1.57    X ) ) }.
% 0.97/1.57  { ! class_Rings_Oordered__cancel__semiring( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.57     ), ! c_Orderings_Oord__class_Oless__eq( X, Z, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.57    , hAPP( c_Groups_Otimes__class_Otimes( X, Z ), Y ), 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57  { ! class_Rings_Oordered__cancel__semiring( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.57     ), ! c_Orderings_Oord__class_Oless__eq( X, Z, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.57    , hAPP( c_Groups_Otimes__class_Otimes( X, Y ), Z ), 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57  { ! class_Rings_Oordered__cancel__semiring( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.57     ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( 
% 0.97/1.57    X ), Z ), c_Orderings_Oord__class_Oless__eq( X, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), hAPP( c_Groups_Otimes__class_Otimes( X
% 0.97/1.57    , Y ), Z ) ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__ring__strict( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, hAPP( c_Groups_Otimes__class_Otimes
% 0.97/1.57    ( X, Z ), Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha9( X, Y, Z ), 
% 0.97/1.57    alpha37( X, Y, Z ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__ring__strict( X ), ! alpha9( X, Y, Z ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, hAPP( c_Groups_Otimes__class_Otimes
% 0.97/1.57    ( X, Z ), Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__ring__strict( X ), ! alpha37( X, Y, Z ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, hAPP( c_Groups_Otimes__class_Otimes
% 0.97/1.57    ( X, Z ), Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57  { ! alpha37( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Z, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57  { ! alpha37( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.97/1.57     ) ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero
% 0.97/1.57    ( X ), Y ), alpha37( X, Y, Z ) }.
% 0.97/1.57  { ! alpha9( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.97/1.57  { ! alpha9( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Y, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57    , Z ), ! c_Orderings_Oord__class_Oless__eq( X, Y, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ) ), alpha9( X, Y, Z ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__ring__strict( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), 
% 0.97/1.57    hAPP( c_Groups_Otimes__class_Otimes( X, Z ), Y ) ), alpha10( X, Y, Z ), 
% 0.97/1.57    alpha38( X, Y, Z ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__ring__strict( X ), ! alpha10( X, Y, Z ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), 
% 0.97/1.57    hAPP( c_Groups_Otimes__class_Otimes( X, Z ), Y ) ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__ring__strict( X ), ! alpha38( X, Y, Z ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), 
% 0.97/1.57    hAPP( c_Groups_Otimes__class_Otimes( X, Z ), Y ) ) }.
% 0.97/1.57  { ! alpha38( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Z, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57  { ! alpha38( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Y, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.97/1.57     ) ), ! c_Orderings_Oord__class_Oless__eq( X, Y, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ) ), alpha38( X, Y, Z ) }.
% 0.97/1.57  { ! alpha10( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.97/1.57  { ! alpha10( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57    , Z ), ! c_Orderings_Oord__class_Oless__eq( X, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), Y ), alpha10( X, Y, Z ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__ring( X ), c_Orderings_Oord__class_Oless__eq( 
% 0.97/1.57    X, c_Groups_Ozero__class_Ozero( X ), hAPP( c_Groups_Otimes__class_Otimes
% 0.97/1.57    ( X, Y ), Y ) ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__semidom( X ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), 
% 0.97/1.57    c_Groups_Oone__class_Oone( X ) ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__semidom( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ), 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57     ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 0.97/1.57    ( X, Y, T ), c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.97/1.57     ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 0.97/1.57    ( X, Z, T ), c_Rings_Oinverse__class_Odivide( X, Y, T ) ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.97/1.57    , Z, Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha11( X, Y, Z ), alpha39
% 0.97/1.57    ( X, Y, Z ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha11( X, Y, Z
% 0.97/1.57     ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 0.97/1.57    ( X, Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha39( X, Y, Z
% 0.97/1.57     ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 0.97/1.57    ( X, Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57  { ! alpha39( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Z, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57  { ! alpha39( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.97/1.57     ) ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero
% 0.97/1.57    ( X ), Y ), alpha39( X, Y, Z ) }.
% 0.97/1.57  { ! alpha11( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.97/1.57  { ! alpha11( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Y, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57    , Z ), ! c_Orderings_Oord__class_Oless__eq( X, Y, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ) ), alpha11( X, Y, Z ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, Z, Y ) ), alpha12( X, Y, Z ), alpha40
% 0.97/1.57    ( X, Y, Z ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha12( X, Y, Z
% 0.97/1.57     ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.97/1.57     ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha40( X, Y, Z
% 0.97/1.57     ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.97/1.57     ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.97/1.57  { ! alpha40( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Z, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57  { ! alpha40( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Y, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.97/1.57     ) ), ! c_Orderings_Oord__class_Oless__eq( X, Y, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ) ), alpha40( X, Y, Z ) }.
% 0.97/1.57  { ! alpha12( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.97/1.57  { ! alpha12( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57    , Z ), ! c_Orderings_Oord__class_Oless__eq( X, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), Y ), alpha12( X, Y, Z ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) ), alpha13( X, 
% 0.97/1.57    Y ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) ), alpha41( X, 
% 0.97/1.57    Y ) }.
% 0.97/1.57  { ! alpha13( X, Y ), ! alpha41( X, Y ), c_Orderings_Oord__class_Oless__eq( 
% 0.97/1.57    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) ) }.
% 0.97/1.57  { ! alpha41( X, Y ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), alpha41( X, Y ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), alpha41( X, Y ) }.
% 0.97/1.57  { ! alpha13( X, Y ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y
% 0.97/1.57    , c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), alpha13( X, Y ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), alpha13( X, Y ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__ring__strict( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ), 
% 0.97/1.57    ! c_Orderings_Oord__class_Oless__eq( X, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Y ), T ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Y ), Z ) ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, T, Z ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__ring__strict( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ), 
% 0.97/1.57    ! c_Orderings_Oord__class_Oless__eq( X, T, Z ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, hAPP( c_Groups_Otimes__class_Otimes
% 0.97/1.57    ( X, Y ), T ), hAPP( c_Groups_Otimes__class_Otimes( X, Y ), Z ) ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__ring__strict( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ), 
% 0.97/1.57    ! c_Orderings_Oord__class_Oless__eq( X, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Y ), T ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Y ), Z ) ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__ring__strict( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ), 
% 0.97/1.57    ! c_Orderings_Oord__class_Oless__eq( X, Z, T ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, hAPP( c_Groups_Otimes__class_Otimes
% 0.97/1.57    ( X, Y ), T ), hAPP( c_Groups_Otimes__class_Otimes( X, Y ), Z ) ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__semiring__strict( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.57    ( X, U, T ), ! c_Orderings_Oord__class_Oless( X, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), Y ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), U
% 0.97/1.57     ), c_Orderings_Oord__class_Oless( X, hAPP( c_Groups_Otimes__class_Otimes
% 0.97/1.57    ( X, Z ), U ), hAPP( c_Groups_Otimes__class_Otimes( X, Y ), T ) ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__semiring__strict( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.57    ( X, U, T ), ! c_Orderings_Oord__class_Oless__eq( X, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), Z ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), U
% 0.97/1.57     ), c_Orderings_Oord__class_Oless( X, hAPP( c_Groups_Otimes__class_Otimes
% 0.97/1.57    ( X, Z ), U ), hAPP( c_Groups_Otimes__class_Otimes( X, Y ), T ) ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__semiring__strict( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, Z, Y ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, U, T ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.97/1.57     ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57    , U ), c_Orderings_Oord__class_Oless( X, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Z ), U ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Y ), T ) ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__semiring__strict( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, U, T ), ! c_Orderings_Oord__class_Oless
% 0.97/1.57    ( X, c_Groups_Ozero__class_Ozero( X ), Z ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), U
% 0.97/1.57     ), c_Orderings_Oord__class_Oless( X, hAPP( c_Groups_Otimes__class_Otimes
% 0.97/1.57    ( X, Z ), U ), hAPP( c_Groups_Otimes__class_Otimes( X, Y ), T ) ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__semiring( X ), ! c_Orderings_Oord__class_Oless
% 0.97/1.57    ( X, hAPP( c_Groups_Otimes__class_Otimes( X, T ), Z ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Y ), Z ) ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.97/1.57     ), c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__semiring__strict( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, hAPP( c_Groups_Otimes__class_Otimes( X
% 0.97/1.57    , T ), Z ), hAPP( c_Groups_Otimes__class_Otimes( X, Y ), Z ) ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.97/1.57     ), c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__semiring( X ), ! c_Orderings_Oord__class_Oless
% 0.97/1.57    ( X, hAPP( c_Groups_Otimes__class_Otimes( X, T ), Z ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, T ), Y ) ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.97/1.57     ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__semiring__strict( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, hAPP( c_Groups_Otimes__class_Otimes( X
% 0.97/1.57    , T ), Z ), hAPP( c_Groups_Otimes__class_Otimes( X, T ), Y ) ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.97/1.57     ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__semiring__strict( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, hAPP( c_Groups_Otimes__class_Otimes
% 0.97/1.57    ( X, T ), Z ), hAPP( c_Groups_Otimes__class_Otimes( X, Y ), Z ) ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__semiring__strict( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, hAPP( c_Groups_Otimes__class_Otimes
% 0.97/1.57    ( X, T ), Z ), hAPP( c_Groups_Otimes__class_Otimes( X, T ), Y ) ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq
% 0.97/1.57    ( X, c_Groups_Ozero__class_Ozero( X ), Y ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.97/1.57     ), ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Oone__class_Oone
% 0.97/1.57    ( X ) ), c_Orderings_Oord__class_Oless__eq( X, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Z ), Y ), Y ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq
% 0.97/1.57    ( X, c_Groups_Ozero__class_Ozero( X ), Y ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.97/1.57     ), ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Oone__class_Oone
% 0.97/1.57    ( X ) ), c_Orderings_Oord__class_Oless__eq( X, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Y ), Z ), Y ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57     ), ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.97/1.57     ) ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( 
% 0.97/1.57    X ), c_Rings_Oinverse__class_Odivide( X, Y, Z ) ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57     ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57    , Z ), c_Orderings_Oord__class_Oless__eq( X, 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, Y, Z ), c_Groups_Ozero__class_Ozero( 
% 0.97/1.57    X ) ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.57     ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ), 
% 0.97/1.57    ! c_Orderings_Oord__class_Oless__eq( X, T, U ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.97/1.57    , Y, U ), c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.57     ), ! c_Orderings_Oord__class_Oless( X, Y, Z ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ), 
% 0.97/1.57    ! c_Orderings_Oord__class_Oless__eq( X, T, U ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, Y, 
% 0.97/1.57    U ), c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless( 
% 0.97/1.57    X, c_Groups_Ozero__class_Ozero( X ), Y ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, Y, Z ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ), 
% 0.97/1.57    ! c_Orderings_Oord__class_Oless( X, T, U ), c_Orderings_Oord__class_Oless
% 0.97/1.57    ( X, c_Rings_Oinverse__class_Odivide( X, Y, U ), 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.57     ), ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.97/1.57     ) ), c_Orderings_Oord__class_Oless__eq( X, 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, Y, Z ), c_Groups_Ozero__class_Ozero( 
% 0.97/1.57    X ) ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.57     ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57    , Z ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero
% 0.97/1.57    ( X ), c_Rings_Oinverse__class_Odivide( X, Y, Z ) ) }.
% 0.97/1.57  { ! class_Groups_Ozero( X ), ! c_Groups_Ozero__class_Ozero( X ) = Y, Y = 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.57  { ! class_Groups_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X ), 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ) = Y }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z ), X ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y ), X ) ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z, Y ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z, Y ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z ), X ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y ), X ) ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X ), Z ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X ), Y ) ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z, Y ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z, Y ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X ), Z ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X ), Y ) ) }.
% 0.97/1.57  { ! class_Groups_Oab__semigroup__mult( X ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, hAPP( c_Groups_Otimes__class_Otimes( X
% 0.97/1.57    , T ), Z ) ), Y ) = hAPP( c_Groups_Otimes__class_Otimes( X, T ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Z ), Y ) ) }.
% 0.97/1.57  { ! class_Groups_Oone( X ), ! c_Groups_Oone__class_Oone( X ) = Y, Y = 
% 0.97/1.57    c_Groups_Oone__class_Oone( X ) }.
% 0.97/1.57  { ! class_Groups_Oone( X ), ! Y = c_Groups_Oone__class_Oone( X ), 
% 0.97/1.57    c_Groups_Oone__class_Oone( X ) = Y }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, T, c_Rings_Oinverse__class_Odivide
% 0.97/1.57    ( X, Z, Y ) ), alpha42( X, Y, Z, T ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, T, c_Rings_Oinverse__class_Odivide
% 0.97/1.57    ( X, Z, Y ) ), alpha58( X, Y, Z, T ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha42( X, Y, Z
% 0.97/1.57    , T ), ! alpha58( X, Y, Z, T ), c_Orderings_Oord__class_Oless__eq( X, T, 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.97/1.57  { ! alpha58( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), Y ), alpha70( X, Y, Z, T ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.97/1.57    , alpha58( X, Y, Z, T ) }.
% 0.97/1.57  { ! alpha70( X, Y, Z, T ), alpha58( X, Y, Z, T ) }.
% 0.97/1.57  { ! alpha70( X, Y, Z, T ), alpha82( X, Y, Z, T ) }.
% 0.97/1.57  { ! alpha70( X, Y, Z, T ), alpha14( X, Y, T ) }.
% 0.97/1.57  { ! alpha82( X, Y, Z, T ), ! alpha14( X, Y, T ), alpha70( X, Y, Z, T ) }.
% 0.97/1.57  { ! alpha82( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Y, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.57    , Z, hAPP( c_Groups_Otimes__class_Otimes( X, T ), Y ) ) }.
% 0.97/1.57  { c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ), 
% 0.97/1.57    alpha82( X, Y, Z, T ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless__eq( X, Z, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, T ), Y ) ), alpha82( X, Y, Z, T ) }.
% 0.97/1.57  { ! alpha42( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless__eq
% 0.97/1.57    ( X, hAPP( c_Groups_Otimes__class_Otimes( X, T ), Y ), Z ) }.
% 0.97/1.57  { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ), 
% 0.97/1.57    alpha42( X, Y, Z, T ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless__eq( X, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, T ), Y ), Z ), alpha42( X, Y, Z, T ) }
% 0.97/1.57    .
% 0.97/1.57  { ! alpha14( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.57    , Z, c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.57    , alpha14( X, Y, Z ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.97/1.57     ) ), alpha14( X, Y, Z ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.97/1.57    , T, Z ), Y ), alpha43( X, Y, Z, T ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.97/1.57    , T, Z ), Y ), alpha59( X, Y, Z, T ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha43( X, Y, Z
% 0.97/1.57    , T ), ! alpha59( X, Y, Z, T ), c_Orderings_Oord__class_Oless__eq( X, 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, T, Z ), Y ) }.
% 0.97/1.57  { ! alpha59( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), Z ), alpha71( X, Y, Z, T ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.97/1.57    , alpha59( X, Y, Z, T ) }.
% 0.97/1.57  { ! alpha71( X, Y, Z, T ), alpha59( X, Y, Z, T ) }.
% 0.97/1.57  { ! alpha71( X, Y, Z, T ), alpha83( X, Y, Z, T ) }.
% 0.97/1.57  { ! alpha71( X, Y, Z, T ), alpha15( X, Y, Z ) }.
% 0.97/1.57  { ! alpha83( X, Y, Z, T ), ! alpha15( X, Y, Z ), alpha71( X, Y, Z, T ) }.
% 0.97/1.57  { ! alpha83( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Z, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.57    , hAPP( c_Groups_Otimes__class_Otimes( X, Y ), Z ), T ) }.
% 0.97/1.57  { c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ), 
% 0.97/1.57    alpha83( X, Y, Z, T ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless__eq( X, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Y ), Z ), T ), alpha83( X, Y, Z, T ) }
% 0.97/1.57    .
% 0.97/1.57  { ! alpha43( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless__eq
% 0.97/1.57    ( X, T, hAPP( c_Groups_Otimes__class_Otimes( X, Y ), Z ) ) }.
% 0.97/1.57  { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ), 
% 0.97/1.57    alpha43( X, Y, Z, T ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless__eq( X, T, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Y ), Z ) ), alpha43( X, Y, Z, T ) }.
% 0.97/1.57  { ! alpha15( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.57    , c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.57    , alpha15( X, Y, Z ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57    , Y ), alpha15( X, Y, Z ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless( 
% 0.97/1.57    X, c_Groups_Ozero__class_Ozero( X ), Y ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, T, c_Rings_Oinverse__class_Odivide
% 0.97/1.57    ( X, Z, Y ) ), c_Orderings_Oord__class_Oless__eq( X, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, T ), Y ), Z ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless( 
% 0.97/1.57    X, c_Groups_Ozero__class_Ozero( X ), Y ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, hAPP( c_Groups_Otimes__class_Otimes
% 0.97/1.57    ( X, T ), Y ), Z ), c_Orderings_Oord__class_Oless__eq( X, T, 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless( 
% 0.97/1.57    X, c_Groups_Ozero__class_Ozero( X ), Y ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.97/1.57    , T, Y ), Z ), c_Orderings_Oord__class_Oless__eq( X, T, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Z ), Y ) ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless( 
% 0.97/1.57    X, c_Groups_Ozero__class_Ozero( X ), Y ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, T, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Z ), Y ) ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.97/1.57    , T, Y ), Z ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless( 
% 0.97/1.57    X, c_Groups_Ozero__class_Ozero( X ), Y ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, T, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Z ), Y ) ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.97/1.57    , T, Y ), Z ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless( 
% 0.97/1.57    X, c_Groups_Ozero__class_Ozero( X ), Y ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, hAPP( c_Groups_Otimes__class_Otimes
% 0.97/1.57    ( X, T ), Y ), Z ), c_Orderings_Oord__class_Oless__eq( X, T, 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless( 
% 0.97/1.57    X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, T, c_Rings_Oinverse__class_Odivide
% 0.97/1.57    ( X, Z, Y ) ), c_Orderings_Oord__class_Oless__eq( X, Z, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, T ), Y ) ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless( 
% 0.97/1.57    X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, Z, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, T ), Y ) ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, T, c_Rings_Oinverse__class_Odivide
% 0.97/1.57    ( X, Z, Y ) ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless( 
% 0.97/1.57    X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.97/1.57    , T, Y ), Z ), c_Orderings_Oord__class_Oless__eq( X, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Z ), Y ), T ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless( 
% 0.97/1.57    X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, hAPP( c_Groups_Otimes__class_Otimes
% 0.97/1.57    ( X, Z ), Y ), T ), c_Orderings_Oord__class_Oless__eq( X, 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.97/1.57     ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57    , hAPP( c_Groups_Otimes__class_Otimes( X, Y ), Z ) ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.97/1.57    , T, Y ), c_Rings_Oinverse__class_Odivide( X, T, Z ) ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57     ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57    , hAPP( c_Groups_Otimes__class_Otimes( X, Z ), Y ) ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.97/1.57    , T, Z ), c_Rings_Oinverse__class_Odivide( X, T, Y ) ) }.
% 0.97/1.57  { ! class_Orderings_Opreorder( X ), c_Orderings_Oord__class_Oless__eq( X, Y
% 0.97/1.57    , Y ) }.
% 0.97/1.57  { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.97/1.57     ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.97/1.57  { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.57    , Y, Z ), ! c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.97/1.57  { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.97/1.57    , Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.97/1.57  { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Y, 
% 0.97/1.57    Z ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.97/1.57  { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.97/1.57    , Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.97/1.57  { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.97/1.57    , c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.97/1.57  { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.97/1.57    , ! Z = Y }.
% 0.97/1.57  { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.97/1.57    , Y ), Z = Y, c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.97/1.57  { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, 
% 0.97/1.57    Y ), c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.97/1.57  { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, 
% 0.97/1.57    Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.97/1.57  { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.57    , Z, Y ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.97/1.57  { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.97/1.57    , Y ), c_Orderings_Oord__class_Oless( X, Z, Y ), Z = Y }.
% 0.97/1.57  { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.97/1.57    , c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.97/1.57  { ! class_Orderings_Oorder( X ), ! Z = Y, c_Orderings_Oord__class_Oless__eq
% 0.97/1.57    ( X, Z, Y ) }.
% 0.97/1.57  { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.97/1.57     ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.97/1.57  { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.97/1.57    , Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.97/1.57  { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.97/1.57    ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( X, hAPP( Z, U ), 
% 0.97/1.57    hAPP( Y, U ) ) }.
% 0.97/1.57  { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( X, hAPP
% 0.97/1.57    ( Z, skol4( X, Y, Z ) ), hAPP( Y, skol4( X, Y, Z ) ) ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Z, Y ) }.
% 0.97/1.57  { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.97/1.57    , Y ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.97/1.57  { ! class_Orderings_Oorder( X ), ! Z = Y, c_Orderings_Oord__class_Oless__eq
% 0.97/1.57    ( X, Z, Y ) }.
% 0.97/1.57  { ! class_Orderings_Oorder( X ), ! Z = Y, c_Orderings_Oord__class_Oless__eq
% 0.97/1.57    ( X, Y, Z ) }.
% 0.97/1.57  { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.97/1.57    , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Z = Y }.
% 0.97/1.57  { ! class_Orderings_Opreorder( X ), ! Z = Y, 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.97/1.57  { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.97/1.57    ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( X, hAPP( Z, U ), 
% 0.97/1.57    hAPP( Y, U ) ) }.
% 0.97/1.57  { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.97/1.57    , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Y = Z }.
% 0.97/1.57  { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.97/1.57    , Y ), ! Y = Z, c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.97/1.57  { ! class_Orderings_Oord( X ), ! Z = Y, ! c_Orderings_Oord__class_Oless__eq
% 0.97/1.57    ( X, Y, T ), c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.97/1.57  { ! class_Orderings_Oorder( X ), ! Z = Y, ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, T, Y ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, T, Z ) }.
% 0.97/1.57  { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y
% 0.97/1.57     ), ! Y = T, c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.97/1.57  { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.97/1.57    , Y ), ! Z = T, c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.97/1.57  { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.97/1.57    , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Z = Y }.
% 0.97/1.57  { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.57    , Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, T ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.97/1.57  { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.97/1.57    , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Y = Z }.
% 0.97/1.57  { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.97/1.57    , Y ), ! c_Orderings_Oord__class_Oless__eq( X, T, Z ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.97/1.57  { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.97/1.57    ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( X, hAPP( Z, U ), 
% 0.97/1.57    hAPP( Y, U ) ) }.
% 0.97/1.57  { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.97/1.57    , Y ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.97/1.57  { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.97/1.57     ), Z = Y, c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.97/1.57  { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, 
% 0.97/1.57    Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.97/1.57  { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.97/1.57    , ! c_Orderings_Oord__class_Oless( X, T, Z ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.97/1.57  { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, 
% 0.97/1.57    Y ), ! c_Orderings_Oord__class_Oless( X, Y, T ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.97/1.57  { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.97/1.57    , ! Z = T, c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.97/1.57  { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y ), 
% 0.97/1.57    ! Y = T, c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.97/1.57  { ! class_Orderings_Oorder( X ), ! Z = Y, ! c_Orderings_Oord__class_Oless( 
% 0.97/1.57    X, T, Y ), c_Orderings_Oord__class_Oless( X, T, Z ) }.
% 0.97/1.57  { ! class_Orderings_Oord( X ), ! Z = Y, ! c_Orderings_Oord__class_Oless( X
% 0.97/1.57    , Y, T ), c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.97/1.57  { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.97/1.57    , ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.97/1.57  { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, 
% 0.97/1.57    Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.97/1.57  { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.97/1.57    , ! Y = Z }.
% 0.97/1.57  { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.97/1.57    , ! Z = Y }.
% 0.97/1.57  { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, 
% 0.97/1.57    Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.97/1.57  { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, 
% 0.97/1.57    Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.97/1.57  { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.97/1.57    , ! Z = Y }.
% 0.97/1.57  { ! class_Orderings_Olinorder( X ), Z = Y, c_Orderings_Oord__class_Oless( X
% 0.97/1.57    , Z, Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.97/1.57  { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.97/1.57     ), c_Orderings_Oord__class_Oless( X, Y, Z ), Y = Z }.
% 0.97/1.57  { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.97/1.57     ), ! Y = Z, ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.97/1.57  { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.97/1.57     ), Z = Y, c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.97/1.57  { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.97/1.57     ), c_Orderings_Oord__class_Oless( X, Y, Z ), Z = Y }.
% 0.97/1.57  { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Y, 
% 0.97/1.57    Z ), ! c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.97/1.57  { ! class_Orderings_Olinorder( X ), ! Z = Y, ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.97/1.57  { ! class_Orderings_Olinorder( X ), Z = Y, c_Orderings_Oord__class_Oless( X
% 0.97/1.57    , Z, Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.97/1.57  { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, 
% 0.97/1.57    Y ), ! Z = Y }.
% 0.97/1.57  { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Y, 
% 0.97/1.57    Z ), ! Z = Y }.
% 0.97/1.57  { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Y, 
% 0.97/1.57    Y ) }.
% 0.97/1.57  { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.97/1.57    , Y ), ! c_Orderings_Oord__class_Oless( X, T, Z ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.97/1.57  { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.57    , Z, Y ), ! c_Orderings_Oord__class_Oless( X, Y, T ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.97/1.57  { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.97/1.57    , ! c_Orderings_Oord__class_Oless__eq( X, T, Z ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.97/1.57  { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, 
% 0.97/1.57    Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, T ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.97/1.57  { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.97/1.57    , Y ), Y = Z, c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.97/1.57  { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.97/1.57    , Y ), Z = Y, c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.97/1.57  { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.97/1.57    , Y ), c_Orderings_Oord__class_Oless( X, Z, Y ), Z = Y }.
% 0.97/1.57  { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.57    , Z, Y ), c_Orderings_Oord__class_Oless( X, Z, Y ), Z = Y }.
% 0.97/1.57  { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.57    , Z, Y ), ! Z = Y, ! c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.97/1.57  { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, 
% 0.97/1.57    Y ), c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.97/1.57  { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.57    , Z, Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.97/1.57  { ! class_Orderings_Oorder( X ), Z = Y, ! c_Orderings_Oord__class_Oless__eq
% 0.97/1.57    ( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.97/1.57  { ! class_Orderings_Oorder( X ), Z = Y, ! c_Orderings_Oord__class_Oless__eq
% 0.97/1.57    ( X, Z, Y ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.97/1.57  { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.97/1.57     ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ), Z = Y }.
% 0.97/1.57  { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.97/1.57     ), ! Z = Y, c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), skol5
% 0.97/1.57    ( X, T, U ) ), c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, skol5( X, T, U ), 
% 0.97/1.57    c_Groups_Oone__class_Oone( X ) ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.97/1.57    , Y ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, hAPP( c_Groups_Otimes__class_Otimes
% 0.97/1.57    ( X, skol5( X, Y, Z ) ), Z ), Y ), c_Orderings_Oord__class_Oless__eq( X, 
% 0.97/1.57    Z, Y ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__semiring__1__strict( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.57    ( X, T, Y ), ! c_Orderings_Oord__class_Oless__eq( X, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), U ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), W
% 0.97/1.57     ), ! c_Groups_Oplus__class_Oplus( X, U, W ) = c_Groups_Oone__class_Oone
% 0.97/1.57    ( X ), c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, 
% 0.97/1.57    hAPP( c_Groups_Otimes__class_Otimes( X, U ), Z ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, W ), T ) ), Y ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__semiring__1( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, T, Y ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), U
% 0.97/1.57     ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( 
% 0.97/1.57    X ), W ), ! c_Groups_Oplus__class_Oplus( X, U, W ) = 
% 0.97/1.57    c_Groups_Oone__class_Oone( X ), c_Orderings_Oord__class_Oless__eq( X, 
% 0.97/1.57    c_Groups_Oplus__class_Oplus( X, hAPP( c_Groups_Otimes__class_Otimes( X, U
% 0.97/1.57     ), Z ), hAPP( c_Groups_Otimes__class_Otimes( X, W ), T ) ), Y ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ), 
% 0.97/1.57    c_Rings_Oinverse__class_Oinverse( X, Y ) ), c_Orderings_Oord__class_Oless
% 0.97/1.57    ( X, c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ), 
% 0.97/1.57    c_Rings_Oinverse__class_Oinverse( X, Y ) ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Oone__class_Oone( X ) )
% 0.97/1.57     }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ), 
% 0.97/1.57    ! c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Oone__class_Oone( X )
% 0.97/1.57     ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X )
% 0.97/1.57    , c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Oinverse( X, Y
% 0.97/1.57     ), c_Groups_Oone__class_Oone( X ) ), c_Orderings_Oord__class_Oless__eq( 
% 0.97/1.57    X, Y, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( 
% 0.97/1.57    X, c_Groups_Oone__class_Oone( X ), Y ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57     ), c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Oinverse( X
% 0.97/1.57    , Y ), c_Groups_Oone__class_Oone( X ) ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ), Y ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Oinverse( X, Y
% 0.97/1.57     ), c_Groups_Oone__class_Oone( X ) ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless( 
% 0.97/1.57    X, c_Groups_Ozero__class_Ozero( X ), Y ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Oone__class_Oone( X ) )
% 0.97/1.57    , c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ), 
% 0.97/1.57    c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__idom( X ), ! c_Groups_Osgn__class_Osgn( X, Y )
% 0.97/1.57     = c_Groups_Oone__class_Oone( X ), c_Orderings_Oord__class_Oless( X, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.97/1.57    , c_Groups_Ozero__class_Ozero( X ), Y ), c_Groups_Osgn__class_Osgn( X, Y
% 0.97/1.57     ) = c_Groups_Oone__class_Oone( X ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.97/1.57    , c_Groups_Ozero__class_Ozero( X ), Y ), c_Groups_Osgn__class_Osgn( X, Y
% 0.97/1.57     ) = c_Groups_Oone__class_Oone( X ) }.
% 0.97/1.57  { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless( tc_fun( T, 
% 0.97/1.57    X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Z, Y ) }
% 0.97/1.57    .
% 0.97/1.57  { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless( tc_fun( T, 
% 0.97/1.57    X ), Z, Y ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Y, Z )
% 0.97/1.57     }.
% 0.97/1.57  { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.97/1.57    ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Y, Z
% 0.97/1.57     ), c_Orderings_Oord__class_Oless( tc_fun( T, X ), Z, Y ) }.
% 0.97/1.57  { ! class_Rings_Odivision__ring__inverse__zero( X ), 
% 0.97/1.57    c_Rings_Oinverse__class_Oinverse( X, c_Rings_Oinverse__class_Oinverse( X
% 0.97/1.57    , Y ) ) = Y }.
% 0.97/1.57  { ! class_Rings_Olinordered__idom( X ), c_Groups_Osgn__class_Osgn( X, 
% 0.97/1.57    c_Groups_Osgn__class_Osgn( X, Y ) ) = c_Groups_Osgn__class_Osgn( X, Y ) }
% 0.97/1.57    .
% 0.97/1.57  { ! class_Rings_Odivision__ring__inverse__zero( X ), ! 
% 0.97/1.57    c_Rings_Oinverse__class_Oinverse( X, Z ) = 
% 0.97/1.57    c_Rings_Oinverse__class_Oinverse( X, Y ), Z = Y }.
% 0.97/1.57  { ! class_Rings_Odivision__ring__inverse__zero( X ), ! Z = Y, 
% 0.97/1.57    c_Rings_Oinverse__class_Oinverse( X, Z ) = 
% 0.97/1.57    c_Rings_Oinverse__class_Oinverse( X, Y ) }.
% 0.97/1.57  { ! class_Rings_Odivision__ring__inverse__zero( X ), ! 
% 0.97/1.57    c_Rings_Oinverse__class_Oinverse( X, Z ) = 
% 0.97/1.57    c_Rings_Oinverse__class_Oinverse( X, Y ), Z = Y }.
% 0.97/1.57  { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, Z
% 0.97/1.57    , Y ) = c_Groups_Oplus__class_Oplus( X, Y, Z ) }.
% 0.97/1.57  { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, T
% 0.97/1.57    , c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus
% 0.97/1.57    ( X, Z, c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.97/1.57  { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, T
% 0.97/1.57    , c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus
% 0.97/1.57    ( X, c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) }.
% 0.97/1.57  { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, 
% 0.97/1.57    c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.97/1.57    ( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y ) ) }.
% 0.97/1.57  { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, 
% 0.97/1.57    c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.97/1.57    ( X, c_Groups_Oplus__class_Oplus( X, T, Y ), Z ) }.
% 0.97/1.57  { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, 
% 0.97/1.57    c_Groups_Oplus__class_Oplus( X, U, T ), c_Groups_Oplus__class_Oplus( X, Z
% 0.97/1.57    , Y ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Oplus__class_Oplus( X
% 0.97/1.57    , U, Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.97/1.57  { ! class_Groups_Oab__semigroup__add( X ), c_Groups_Oplus__class_Oplus( X, 
% 0.97/1.57    c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.97/1.57    ( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y ) ) }.
% 0.97/1.57  { ! class_Groups_Ocancel__semigroup__add( X ), ! 
% 0.97/1.57    c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X, 
% 0.97/1.57    T, Y ), Z = Y }.
% 0.97/1.57  { ! class_Groups_Ocancel__semigroup__add( X ), ! Z = Y, 
% 0.97/1.57    c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X, 
% 0.97/1.57    T, Y ) }.
% 0.97/1.57  { ! class_Groups_Ocancel__semigroup__add( X ), ! 
% 0.97/1.57    c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X, 
% 0.97/1.57    Y, Z ), T = Y }.
% 0.97/1.57  { ! class_Groups_Ocancel__semigroup__add( X ), ! T = Y, 
% 0.97/1.57    c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X, 
% 0.97/1.57    Y, Z ) }.
% 0.97/1.57  { ! class_Groups_Ocancel__semigroup__add( X ), ! 
% 0.97/1.57    c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X, 
% 0.97/1.57    T, Y ), Z = Y }.
% 0.97/1.57  { ! class_Groups_Ocancel__ab__semigroup__add( X ), ! 
% 0.97/1.57    c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X, 
% 0.97/1.57    T, Y ), Z = Y }.
% 0.97/1.57  { ! class_Groups_Ocancel__semigroup__add( X ), ! 
% 0.97/1.57    c_Groups_Oplus__class_Oplus( X, Z, T ) = c_Groups_Oplus__class_Oplus( X, 
% 0.97/1.57    Y, T ), Z = Y }.
% 0.97/1.57  { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z = 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, 
% 0.97/1.57    c_Rings_Oinverse__class_Oinverse( X, Y ), 
% 0.97/1.57    c_Rings_Oinverse__class_Oinverse( X, Z ) ) = hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, hAPP( c_Groups_Otimes__class_Otimes( X
% 0.97/1.57    , c_Groups_Oplus__class_Oplus( X, Y, Z ) ), 
% 0.97/1.57    c_Rings_Oinverse__class_Oinverse( X, Y ) ) ), 
% 0.97/1.57    c_Rings_Oinverse__class_Oinverse( X, Z ) ) }.
% 0.97/1.57  { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57    , Z = c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, 
% 0.97/1.57    c_Rings_Oinverse__class_Oinverse( X, Y ), 
% 0.97/1.57    c_Rings_Oinverse__class_Oinverse( X, Z ) ) = hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, hAPP( c_Groups_Otimes__class_Otimes( X
% 0.97/1.57    , c_Rings_Oinverse__class_Oinverse( X, Y ) ), c_Groups_Oplus__class_Oplus
% 0.97/1.57    ( X, Y, Z ) ) ), c_Rings_Oinverse__class_Oinverse( X, Z ) ) }.
% 0.97/1.57  { ! class_Fields_Ofield__inverse__zero( X ), 
% 0.97/1.57    c_Rings_Oinverse__class_Oinverse( X, c_Groups_Ozero__class_Ozero( X ) ) =
% 0.97/1.57     c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.57  { ! class_Rings_Odivision__ring( X ), ! c_Rings_Oinverse__class_Oinverse( X
% 0.97/1.57    , Z ) = c_Rings_Oinverse__class_Oinverse( X, Y ), Z = 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z
% 0.97/1.57     = Y }.
% 0.97/1.57  { ! class_Rings_Odivision__ring( X ), ! c_Rings_Oinverse__class_Oinverse( X
% 0.97/1.57    , Y ) = c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero
% 0.97/1.57    ( X ) }.
% 0.97/1.57  { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57    , c_Rings_Oinverse__class_Oinverse( X, c_Rings_Oinverse__class_Oinverse( 
% 0.97/1.57    X, Y ) ) = Y }.
% 0.97/1.57  { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57    , ! c_Rings_Oinverse__class_Oinverse( X, Y ) = 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.57  { ! class_Rings_Odivision__ring__inverse__zero( X ), ! 
% 0.97/1.57    c_Rings_Oinverse__class_Oinverse( X, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.97/1.57     ), Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.57  { ! class_Rings_Odivision__ring__inverse__zero( X ), ! Y = 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Oinverse( X, Y
% 0.97/1.57     ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.57  { ! class_Rings_Odivision__ring__inverse__zero( X ), 
% 0.97/1.57    c_Rings_Oinverse__class_Oinverse( X, c_Groups_Ozero__class_Ozero( X ) ) =
% 0.97/1.57     c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.57  { ! class_Fields_Ofield__inverse__zero( X ), 
% 0.97/1.57    c_Rings_Oinverse__class_Oinverse( X, hAPP( c_Groups_Otimes__class_Otimes
% 0.97/1.57    ( X, Z ), Y ) ) = hAPP( c_Groups_Otimes__class_Otimes( X, 
% 0.97/1.57    c_Rings_Oinverse__class_Oinverse( X, Z ) ), 
% 0.97/1.57    c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 0.97/1.57  { ! class_Fields_Ofield__inverse__zero( X ), ! 
% 0.97/1.57    c_Rings_Oinverse__class_Oinverse( X, Y ) = c_Groups_Oone__class_Oone( X )
% 0.97/1.57    , Y = c_Groups_Oone__class_Oone( X ) }.
% 0.97/1.57  { ! class_Fields_Ofield__inverse__zero( X ), ! Y = 
% 0.97/1.57    c_Groups_Oone__class_Oone( X ), c_Rings_Oinverse__class_Oinverse( X, Y ) 
% 0.97/1.57    = c_Groups_Oone__class_Oone( X ) }.
% 0.97/1.57  { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Oinverse( X, 
% 0.97/1.57    c_Groups_Oone__class_Oone( X ) ) = c_Groups_Oone__class_Oone( X ) }.
% 0.97/1.57  { ! class_Fields_Ofield__inverse__zero( X ), 
% 0.97/1.57    c_Rings_Oinverse__class_Oinverse( X, c_Rings_Oinverse__class_Odivide( X, 
% 0.97/1.57    Z, Y ) ) = c_Rings_Oinverse__class_Odivide( X, Y, Z ) }.
% 0.97/1.57  { c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) = 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.97/1.57  { ! class_Groups_Ocomm__monoid__add( X ), c_Groups_Oplus__class_Oplus( X, Y
% 0.97/1.57    , c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.97/1.57  { ! class_Groups_Omonoid__add( X ), c_Groups_Oplus__class_Oplus( X, Y, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.97/1.57  { ! class_Groups_Olinordered__ab__group__add( X ), ! 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ) = c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.97/1.57    , Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.57  { ! class_Groups_Olinordered__ab__group__add( X ), ! Y = 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), c_Groups_Ozero__class_Ozero( X ) = 
% 0.97/1.57    c_Groups_Oplus__class_Oplus( X, Y, Y ) }.
% 0.97/1.57  { ! class_Groups_Ocomm__monoid__add( X ), c_Groups_Oplus__class_Oplus( X, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), Y ) = Y }.
% 0.97/1.57  { ! class_Groups_Omonoid__add( X ), c_Groups_Oplus__class_Oplus( X, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), Y ) = Y }.
% 0.97/1.57  { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.97/1.57    ( X ), ! Z = c_Groups_Oplus__class_Oplus( X, Z, Y ), Y = 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.57  { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.97/1.57    ( X ), ! Y = c_Groups_Ozero__class_Ozero( X ), Z = 
% 0.97/1.57    c_Groups_Oplus__class_Oplus( X, Z, Y ) }.
% 0.97/1.57  { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, Y
% 0.97/1.57    , c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.97/1.57  { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), Y ) = Y }.
% 0.97/1.57  { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T, 
% 0.97/1.57    Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.97/1.57  { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Z, 
% 0.97/1.57    T ), c_Groups_Oplus__class_Oplus( X, Y, T ) ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.97/1.57  { ! class_Groups_Oordered__ab__semigroup__add( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, U, T ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Z, 
% 0.97/1.57    U ), c_Groups_Oplus__class_Oplus( X, Y, T ) ) }.
% 0.97/1.57  { ! class_Groups_Oordered__ab__semigroup__add( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T, 
% 0.97/1.57    Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.97/1.57  { ! class_Groups_Oordered__ab__semigroup__add( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Z, 
% 0.97/1.57    T ), c_Groups_Oplus__class_Oplus( X, Y, T ) ) }.
% 0.97/1.57  { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T, 
% 0.97/1.57    Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.97/1.57  { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T, 
% 0.97/1.57    Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.97/1.57  { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T, 
% 0.97/1.57    Z ), c_Groups_Oplus__class_Oplus( X, Y, Z ) ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.97/1.57  { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, T, Y ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T, 
% 0.97/1.57    Z ), c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.97/1.57  { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.97/1.57    , c_Groups_Oplus__class_Oplus( X, Y, Z ) ), c_Orderings_Oord__class_Oless
% 0.97/1.57    ( X, T, Y ) }.
% 0.97/1.57  { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, T, Y ), c_Orderings_Oord__class_Oless( 
% 0.97/1.57    X, c_Groups_Oplus__class_Oplus( X, T, Z ), c_Groups_Oplus__class_Oplus( X
% 0.97/1.57    , Y, Z ) ) }.
% 0.97/1.57  { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.97/1.57    , c_Groups_Oplus__class_Oplus( X, T, Y ) ), c_Orderings_Oord__class_Oless
% 0.97/1.57    ( X, Z, Y ) }.
% 0.97/1.57  { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless( 
% 0.97/1.57    X, c_Groups_Oplus__class_Oplus( X, T, Z ), c_Groups_Oplus__class_Oplus( X
% 0.97/1.57    , T, Y ) ) }.
% 0.97/1.57  { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless( 
% 0.97/1.57    X, c_Groups_Oplus__class_Oplus( X, Z, T ), c_Groups_Oplus__class_Oplus( X
% 0.97/1.57    , Y, T ) ) }.
% 0.97/1.57  { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless( 
% 0.97/1.57    X, c_Groups_Oplus__class_Oplus( X, T, Z ), c_Groups_Oplus__class_Oplus( X
% 0.97/1.57    , T, Y ) ) }.
% 0.97/1.57  { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.57    ( X, U, T ), c_Orderings_Oord__class_Oless( X, 
% 0.97/1.57    c_Groups_Oplus__class_Oplus( X, Z, U ), c_Groups_Oplus__class_Oplus( X, Y
% 0.97/1.57    , T ) ) }.
% 0.97/1.57  { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Z, T )
% 0.97/1.57    , c_Groups_Oplus__class_Oplus( X, Y, T ) ), c_Orderings_Oord__class_Oless
% 0.97/1.57    ( X, Z, Y ) }.
% 0.97/1.57  { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.97/1.57    , c_Groups_Oplus__class_Oplus( X, T, Y ) ), c_Orderings_Oord__class_Oless
% 0.97/1.57    ( X, Z, Y ) }.
% 0.97/1.57  { ! class_RealVector_Oreal__normed__algebra( X ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, T ), c_Groups_Oplus__class_Oplus( X, Z
% 0.97/1.57    , Y ) ) = c_Groups_Oplus__class_Oplus( X, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, T ), Z ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, T ), Y ) ) }.
% 0.97/1.57  { ! class_RealVector_Oreal__normed__algebra( X ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, T ), c_Groups_Oplus__class_Oplus( X, Z
% 0.97/1.57    , Y ) ) = c_Groups_Oplus__class_Oplus( X, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, T ), Z ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, T ), Y ) ) }.
% 0.97/1.57  { ! class_RealVector_Oreal__normed__algebra( X ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.97/1.57     ), Y ) = c_Groups_Oplus__class_Oplus( X, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, T ), Y ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Z ), Y ) ) }.
% 0.97/1.57  { ! class_RealVector_Oreal__normed__algebra( X ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.97/1.57     ), Y ) = c_Groups_Oplus__class_Oplus( X, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, T ), Y ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Z ), Y ) ) }.
% 0.97/1.57  { ! class_Rings_Ocomm__semiring__1( X ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, T ), c_Groups_Oplus__class_Oplus( X, Z
% 0.97/1.57    , Y ) ) = c_Groups_Oplus__class_Oplus( X, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, T ), Z ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, T ), Y ) ) }.
% 0.97/1.57  { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.97/1.57    ( X ), U = T, Z = Y, ! c_Groups_Oplus__class_Oplus( X, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, U ), Z ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, T ), Y ) ) = 
% 0.97/1.57    c_Groups_Oplus__class_Oplus( X, hAPP( c_Groups_Otimes__class_Otimes( X, U
% 0.97/1.57     ), Y ), hAPP( c_Groups_Otimes__class_Otimes( X, T ), Z ) ) }.
% 0.97/1.57  { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.97/1.57    ( X ), c_Groups_Oplus__class_Oplus( X, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, U ), Z ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, T ), Y ) ) = 
% 0.97/1.57    c_Groups_Oplus__class_Oplus( X, hAPP( c_Groups_Otimes__class_Otimes( X, U
% 0.97/1.57     ), Y ), hAPP( c_Groups_Otimes__class_Otimes( X, T ), Z ) ), ! U = T }.
% 0.97/1.57  { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.97/1.57    ( X ), c_Groups_Oplus__class_Oplus( X, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, U ), Z ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, T ), Y ) ) = 
% 0.97/1.57    c_Groups_Oplus__class_Oplus( X, hAPP( c_Groups_Otimes__class_Otimes( X, U
% 0.97/1.57     ), Y ), hAPP( c_Groups_Otimes__class_Otimes( X, T ), Z ) ), ! Z = Y }.
% 0.97/1.57  { ! class_Rings_Ocomm__semiring__1( X ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.97/1.57     ), Y ) = c_Groups_Oplus__class_Oplus( X, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, T ), Y ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Z ), Y ) ) }.
% 0.97/1.57  { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, 
% 0.97/1.57    hAPP( c_Groups_Otimes__class_Otimes( X, T ), Z ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Y ), Z ) ) = hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, T, Y )
% 0.97/1.57     ), Z ) }.
% 0.97/1.57  { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.97/1.57    ( X ), ! c_Groups_Oplus__class_Oplus( X, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, U ), T ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Z ), Y ) ) = 
% 0.97/1.57    c_Groups_Oplus__class_Oplus( X, hAPP( c_Groups_Otimes__class_Otimes( X, U
% 0.97/1.57     ), Y ), hAPP( c_Groups_Otimes__class_Otimes( X, Z ), T ) ), U = Z, T = Y
% 0.97/1.57     }.
% 0.97/1.57  { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.97/1.57    ( X ), ! U = Z, c_Groups_Oplus__class_Oplus( X, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, U ), T ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Z ), Y ) ) = 
% 0.97/1.57    c_Groups_Oplus__class_Oplus( X, hAPP( c_Groups_Otimes__class_Otimes( X, U
% 0.97/1.57     ), Y ), hAPP( c_Groups_Otimes__class_Otimes( X, Z ), T ) ) }.
% 0.97/1.57  { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.97/1.57    ( X ), ! T = Y, c_Groups_Oplus__class_Oplus( X, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, U ), T ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Z ), Y ) ) = 
% 0.97/1.57    c_Groups_Oplus__class_Oplus( X, hAPP( c_Groups_Otimes__class_Otimes( X, U
% 0.97/1.57     ), Y ), hAPP( c_Groups_Otimes__class_Otimes( X, Z ), T ) ) }.
% 0.97/1.57  { ! class_Rings_Ocomm__semiring( X ), hAPP( c_Groups_Otimes__class_Otimes( 
% 0.97/1.57    X, c_Groups_Oplus__class_Oplus( X, T, Z ) ), Y ) = 
% 0.97/1.57    c_Groups_Oplus__class_Oplus( X, hAPP( c_Groups_Otimes__class_Otimes( X, T
% 0.97/1.57     ), Y ), hAPP( c_Groups_Otimes__class_Otimes( X, Z ), Y ) ) }.
% 0.97/1.57  { ! class_Rings_Osemiring( X ), c_Groups_Oplus__class_Oplus( X, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, U ), T ), c_Groups_Oplus__class_Oplus( 
% 0.97/1.57    X, hAPP( c_Groups_Otimes__class_Otimes( X, Z ), T ), Y ) ) = 
% 0.97/1.57    c_Groups_Oplus__class_Oplus( X, hAPP( c_Groups_Otimes__class_Otimes( X, 
% 0.97/1.57    c_Groups_Oplus__class_Oplus( X, U, Z ) ), T ), Y ) }.
% 0.97/1.57  { ! class_RealVector_Oreal__normed__field( X ), 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, T, Z
% 0.97/1.57     ), Y ) = c_Groups_Oplus__class_Oplus( X, c_Rings_Oinverse__class_Odivide
% 0.97/1.57    ( X, T, Y ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.97/1.57  { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X, 
% 0.97/1.57    c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.97/1.57    ( X, c_Rings_Oinverse__class_Odivide( X, T, Y ), 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Z, Y ), 
% 0.97/1.57    c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Z, X ) ) }.
% 0.97/1.57  { hAPP( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Z, Y ) ), X ) = 
% 0.97/1.57    c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z ), X ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y ), X ) ) }.
% 0.97/1.57  { ! class_RealVector_Oreal__normed__vector( X ), ! 
% 0.97/1.57    c_Groups_Osgn__class_Osgn( X, Y ) = c_Groups_Ozero__class_Ozero( X ), Y =
% 0.97/1.57     c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.57  { ! class_RealVector_Oreal__normed__vector( X ), ! Y = 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), c_Groups_Osgn__class_Osgn( X, Y ) = 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.57  { ! class_RealVector_Oreal__normed__vector( X ), c_Groups_Osgn__class_Osgn
% 0.97/1.57    ( X, c_Groups_Ozero__class_Ozero( X ) ) = c_Groups_Ozero__class_Ozero( X
% 0.97/1.57     ) }.
% 0.97/1.57  { ! class_Groups_Osgn__if( X ), c_Groups_Osgn__class_Osgn( X, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__idom( X ), ! c_Groups_Osgn__class_Osgn( X, Y )
% 0.97/1.57     = c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57     }.
% 0.97/1.57  { ! class_Rings_Olinordered__idom( X ), ! Y = c_Groups_Ozero__class_Ozero( 
% 0.97/1.57    X ), c_Groups_Osgn__class_Osgn( X, Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57     }.
% 0.97/1.57  { ! class_RealVector_Oreal__normed__div__algebra( X ), 
% 0.97/1.57    c_Groups_Osgn__class_Osgn( X, hAPP( c_Groups_Otimes__class_Otimes( X, Z )
% 0.97/1.57    , Y ) ) = hAPP( c_Groups_Otimes__class_Otimes( X, 
% 0.97/1.57    c_Groups_Osgn__class_Osgn( X, Z ) ), c_Groups_Osgn__class_Osgn( X, Y ) )
% 0.97/1.57     }.
% 0.97/1.57  { ! class_Rings_Olinordered__idom( X ), c_Groups_Osgn__class_Osgn( X, hAPP
% 0.97/1.57    ( c_Groups_Otimes__class_Otimes( X, Z ), Y ) ) = hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, c_Groups_Osgn__class_Osgn( X, Z ) ), 
% 0.97/1.57    c_Groups_Osgn__class_Osgn( X, Y ) ) }.
% 0.97/1.57  { ! class_RealVector_Oreal__normed__algebra__1( X ), 
% 0.97/1.57    c_Groups_Osgn__class_Osgn( X, c_Groups_Oone__class_Oone( X ) ) = 
% 0.97/1.57    c_Groups_Oone__class_Oone( X ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Oinverse( X
% 0.97/1.57    , Y ), c_Groups_Ozero__class_Ozero( X ) ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57     ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57     ), c_Orderings_Oord__class_Oless__eq( X, 
% 0.97/1.57    c_Rings_Oinverse__class_Oinverse( X, Y ), c_Groups_Ozero__class_Ozero( X
% 0.97/1.57     ) ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), 
% 0.97/1.57    c_Rings_Oinverse__class_Oinverse( X, Y ) ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.57     ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.57     ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.97/1.57     ), c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless( 
% 0.97/1.57    X, c_Rings_Oinverse__class_Oinverse( X, Z ), 
% 0.97/1.57    c_Rings_Oinverse__class_Oinverse( X, Y ) ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless( 
% 0.97/1.57    X, c_Rings_Oinverse__class_Oinverse( X, Z ), 
% 0.97/1.57    c_Rings_Oinverse__class_Oinverse( X, Y ) ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless( 
% 0.97/1.57    X, c_Rings_Oinverse__class_Oinverse( X, Y ), c_Groups_Ozero__class_Ozero
% 0.97/1.57    ( X ) ), Y = c_Groups_Ozero__class_Ozero( X ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ) }
% 0.97/1.57    .
% 0.97/1.57  { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless( 
% 0.97/1.57    X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, Y, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, 
% 0.97/1.57    c_Rings_Oinverse__class_Oinverse( X, Y ), 
% 0.97/1.57    c_Rings_Oinverse__class_Oinverse( X, Z ) ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless( 
% 0.97/1.57    X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless( X, 
% 0.97/1.57    c_Rings_Oinverse__class_Oinverse( X, Y ), 
% 0.97/1.57    c_Rings_Oinverse__class_Oinverse( X, Z ) ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless( 
% 0.97/1.57    X, Y, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( 
% 0.97/1.57    X, c_Rings_Oinverse__class_Oinverse( X, Y ), c_Groups_Ozero__class_Ozero
% 0.97/1.57    ( X ) ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless( 
% 0.97/1.57    X, c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Oinverse( X
% 0.97/1.57    , Y ) ), Y = c_Groups_Ozero__class_Ozero( X ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ) }
% 0.97/1.57    .
% 0.97/1.57  { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless( 
% 0.97/1.57    X, c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless( 
% 0.97/1.57    X, c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Oinverse( X
% 0.97/1.57    , Y ) ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Oinverse( X, Y
% 0.97/1.57     ), c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 0.97/1.57    , Y, c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Oinverse( X, Y
% 0.97/1.57     ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), 
% 0.97/1.57    c_Rings_Oinverse__class_Oinverse( X, Y ) ), c_Orderings_Oord__class_Oless
% 0.97/1.57    ( X, c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), 
% 0.97/1.57    c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 0.97/1.57  { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57    , Z = c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Oinverse
% 0.97/1.57    ( X, hAPP( c_Groups_Otimes__class_Otimes( X, Y ), Z ) ) = hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, c_Rings_Oinverse__class_Oinverse( X, Z
% 0.97/1.57     ) ), c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 0.97/1.57  { ! class_Rings_Odivision__ring( X ), ! hAPP( c_Groups_Otimes__class_Otimes
% 0.97/1.57    ( X, Z ), Y ) = c_Groups_Oone__class_Oone( X ), 
% 0.97/1.57    c_Rings_Oinverse__class_Oinverse( X, Z ) = Y }.
% 0.97/1.57  { ! class_Fields_Ofield( X ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) = 
% 0.97/1.57    hAPP( c_Groups_Otimes__class_Otimes( X, Z ), 
% 0.97/1.57    c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 0.97/1.57  { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X, Z
% 0.97/1.57    , Y ) = hAPP( c_Groups_Otimes__class_Otimes( X, Z ), 
% 0.97/1.57    c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 0.97/1.57  { ! class_Fields_Ofield( X ), c_Rings_Oinverse__class_Oinverse( X, Y ) = 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, c_Groups_Oone__class_Oone( X ), Y ) }
% 0.97/1.57    .
% 0.97/1.57  { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Oinverse( X, 
% 0.97/1.57    Y ) = c_Rings_Oinverse__class_Odivide( X, c_Groups_Oone__class_Oone( X )
% 0.97/1.57    , Y ) }.
% 0.97/1.57  { ! class_Groups_Oordered__comm__monoid__add( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57     ), ! c_Orderings_Oord__class_Oless__eq( X, Z, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.57    , c_Groups_Oplus__class_Oplus( X, Y, Z ), c_Groups_Ozero__class_Ozero( X
% 0.97/1.57     ) ) }.
% 0.97/1.57  { ! class_Groups_Oordered__comm__monoid__add( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.57     ), ! c_Orderings_Oord__class_Oless__eq( X, T, Z ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Oplus__class_Oplus( X, 
% 0.97/1.57    Z, Y ) ) }.
% 0.97/1.57  { ! class_Groups_Oordered__comm__monoid__add( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.57     ), ! c_Orderings_Oord__class_Oless__eq( X, T, Z ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Oplus__class_Oplus( X, 
% 0.97/1.57    Y, Z ) ) }.
% 0.97/1.57  { ! class_Groups_Oordered__comm__monoid__add( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.57     ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( 
% 0.97/1.57    X ), Z ), ! c_Groups_Oplus__class_Oplus( X, Y, Z ) = 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.97/1.57    .
% 0.97/1.57  { ! class_Groups_Oordered__comm__monoid__add( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.57     ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( 
% 0.97/1.57    X ), Z ), ! c_Groups_Oplus__class_Oplus( X, Y, Z ) = 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ) }
% 0.97/1.57    .
% 0.97/1.57  { ! class_Groups_Oordered__comm__monoid__add( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.57     ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( 
% 0.97/1.57    X ), Z ), ! Y = c_Groups_Ozero__class_Ozero( X ), ! Z = 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, Y, Z ) 
% 0.97/1.57    = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.57  { ! class_Groups_Oordered__comm__monoid__add( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.57     ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( 
% 0.97/1.57    X ), Z ), c_Orderings_Oord__class_Oless__eq( X, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, Y, Z )
% 0.97/1.57     ) }.
% 0.97/1.57  { ! class_Groups_Olinordered__ab__group__add( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Y, 
% 0.97/1.57    Y ), c_Groups_Ozero__class_Ozero( X ) ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57     ) }.
% 0.97/1.57  { ! class_Groups_Olinordered__ab__group__add( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57     ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X
% 0.97/1.57    , Y, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57  { ! class_Groups_Olinordered__ab__group__add( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), 
% 0.97/1.57    c_Groups_Oplus__class_Oplus( X, Y, Y ) ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.57     ) }.
% 0.97/1.57  { ! class_Groups_Olinordered__ab__group__add( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.57     ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.97/1.57     ), c_Groups_Oplus__class_Oplus( X, Y, Y ) ) }.
% 0.97/1.57  { ! class_Groups_Oordered__comm__monoid__add( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ), 
% 0.97/1.57    ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.57    , c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y, Z
% 0.97/1.57     ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57  { ! class_Groups_Oordered__comm__monoid__add( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ), 
% 0.97/1.57    ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.97/1.57    , c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), 
% 0.97/1.57    c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.97/1.57  { ! class_Groups_Olinordered__ab__group__add( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.97/1.57    , c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, Y
% 0.97/1.57    , c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57  { ! class_Groups_Olinordered__ab__group__add( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.97/1.57    , c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57  { ! class_Groups_Olinordered__ab__group__add( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), 
% 0.97/1.57    c_Groups_Oplus__class_Oplus( X, Y, Y ) ), c_Orderings_Oord__class_Oless( 
% 0.97/1.57    X, c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.97/1.57  { ! class_Groups_Olinordered__ab__group__add( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), 
% 0.97/1.57    c_Groups_Oplus__class_Oplus( X, Y, Y ) ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.97/1.57    ( X, c_Groups_Ozero__class_Ozero( X ), Y ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, T, Z ), c_Orderings_Oord__class_Oless( 
% 0.97/1.57    X, T, c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.97/1.57  { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, Z, Y ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, U, T ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Z, U )
% 0.97/1.57    , c_Groups_Oplus__class_Oplus( X, Y, T ) ) }.
% 0.97/1.57  { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, U, T ), c_Orderings_Oord__class_Oless( 
% 0.97/1.57    X, c_Groups_Oplus__class_Oplus( X, Z, U ), c_Groups_Oplus__class_Oplus( X
% 0.97/1.57    , Y, T ) ) }.
% 0.97/1.57  { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.97/1.57    ( X ), Y = c_Groups_Ozero__class_Ozero( X ), ! W = U, T = Z, ! 
% 0.97/1.57    c_Groups_Oplus__class_Oplus( X, W, hAPP( c_Groups_Otimes__class_Otimes( X
% 0.97/1.57    , Y ), T ) ) = c_Groups_Oplus__class_Oplus( X, U, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Y ), Z ) ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__semidom( X ), c_Orderings_Oord__class_Oless( X
% 0.97/1.57    , Y, c_Groups_Oplus__class_Oplus( X, Y, c_Groups_Oone__class_Oone( X ) )
% 0.97/1.57     ) }.
% 0.97/1.57  { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, 
% 0.97/1.57    hAPP( c_Groups_Otimes__class_Otimes( X, Z ), Y ), Y ) = hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, Z, 
% 0.97/1.57    c_Groups_Oone__class_Oone( X ) ) ), Y ) }.
% 0.97/1.57  { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, Z
% 0.97/1.57    , hAPP( c_Groups_Otimes__class_Otimes( X, Y ), Z ) ) = hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, Y, 
% 0.97/1.57    c_Groups_Oone__class_Oone( X ) ) ), Z ) }.
% 0.97/1.57  { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, Y
% 0.97/1.57    , Y ) = hAPP( c_Groups_Otimes__class_Otimes( X, 
% 0.97/1.57    c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ), 
% 0.97/1.57    c_Groups_Oone__class_Oone( X ) ) ), Y ) }.
% 0.97/1.57  { c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) = hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y ), 
% 0.97/1.57    c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal, X ) ) }.
% 0.97/1.57  { c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) = hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y ), 
% 0.97/1.57    c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal, X ) ) }.
% 0.97/1.57  { ! c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y ), Y ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X ), X ) ) = 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y = 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.97/1.57  { ! c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y ), Y ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X ), X ) ) = 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X = 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.97/1.57  { ! Y = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! X = 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), 
% 0.97/1.57    c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y ), Y ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X ), X ) ) = 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.97/1.57    , c_Groups_Osgn__class_Osgn( X, Y ), c_Groups_Ozero__class_Ozero( X ) ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ) }
% 0.97/1.57    .
% 0.97/1.57  { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.97/1.57    , Y, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 0.97/1.57    , c_Groups_Osgn__class_Osgn( X, Y ), c_Groups_Ozero__class_Ozero( X ) ) }
% 0.97/1.57    .
% 0.97/1.57  { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.97/1.57    , c_Groups_Ozero__class_Ozero( X ), c_Groups_Osgn__class_Osgn( X, Y ) ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ) }
% 0.97/1.57    .
% 0.97/1.57  { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.97/1.57    , c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless( X
% 0.97/1.57    , c_Groups_Ozero__class_Ozero( X ), c_Groups_Osgn__class_Osgn( X, Y ) ) }
% 0.97/1.57    .
% 0.97/1.57  { ! class_Fields_Olinordered__field( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Oinverse( X
% 0.97/1.57    , Z ), c_Rings_Oinverse__class_Oinverse( X, Y ) ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Oinverse( X
% 0.97/1.57    , Z ), c_Rings_Oinverse__class_Oinverse( X, Y ) ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Oinverse( X
% 0.97/1.57    , Y ), c_Rings_Oinverse__class_Oinverse( X, Z ) ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Oinverse( X
% 0.97/1.57    , Y ), c_Rings_Oinverse__class_Oinverse( X, Z ) ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Oinverse( X
% 0.97/1.57    , Y ), c_Groups_Oone__class_Oone( X ) ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57     ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X )
% 0.97/1.57    , Y ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57     ), c_Orderings_Oord__class_Oless__eq( X, 
% 0.97/1.57    c_Rings_Oinverse__class_Oinverse( X, Y ), c_Groups_Oone__class_Oone( X )
% 0.97/1.57     ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ), Y )
% 0.97/1.57    , c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Oinverse
% 0.97/1.57    ( X, Y ), c_Groups_Oone__class_Oone( X ) ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless( 
% 0.97/1.57    X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.57    ( X, Y, c_Groups_Oone__class_Oone( X ) ), c_Orderings_Oord__class_Oless( 
% 0.97/1.57    X, c_Groups_Oone__class_Oone( X ), c_Rings_Oinverse__class_Oinverse( X, Y
% 0.97/1.57     ) ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ), 
% 0.97/1.57    c_Rings_Oinverse__class_Oinverse( X, Y ) ), c_Orderings_Oord__class_Oless
% 0.97/1.57    ( X, c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ), 
% 0.97/1.57    c_Rings_Oinverse__class_Oinverse( X, Y ) ), c_Orderings_Oord__class_Oless
% 0.97/1.57    ( X, Y, c_Groups_Oone__class_Oone( X ) ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ), 
% 0.97/1.57    ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Oone__class_Oone( X ) ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ), 
% 0.97/1.57    c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 0.97/1.57  { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, c_Rings_Oinverse__class_Oinverse( X, Y
% 0.97/1.57     ) ), Y ) = c_Groups_Oone__class_Oone( X ) }.
% 0.97/1.57  { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57    , hAPP( c_Groups_Otimes__class_Otimes( X, 
% 0.97/1.57    c_Rings_Oinverse__class_Oinverse( X, Y ) ), Y ) = 
% 0.97/1.57    c_Groups_Oone__class_Oone( X ) }.
% 0.97/1.57  { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57    , hAPP( c_Groups_Otimes__class_Otimes( X, Y ), 
% 0.97/1.57    c_Rings_Oinverse__class_Oinverse( X, Y ) ) = c_Groups_Oone__class_Oone( X
% 0.97/1.57     ) }.
% 0.97/1.57  { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57    , c_Rings_Oinverse__class_Oinverse( X, Y ) = 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, c_Groups_Oone__class_Oone( X ), Y ) }
% 0.97/1.57    .
% 0.97/1.57  { ! class_Groups_Oordered__comm__monoid__add( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57     ), ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.97/1.57     ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y
% 0.97/1.57    , Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57  { ! class_Groups_Oordered__comm__monoid__add( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ), 
% 0.97/1.57    ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.97/1.57     ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y
% 0.97/1.57    , Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57  { ! class_Groups_Oordered__comm__monoid__add( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.57     ), ! c_Orderings_Oord__class_Oless( X, T, Z ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, T, c_Groups_Oplus__class_Oplus( X, Y, Z
% 0.97/1.57     ) ) }.
% 0.97/1.57  { ! class_Groups_Oordered__comm__monoid__add( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ), 
% 0.97/1.57    ! c_Orderings_Oord__class_Oless__eq( X, T, Z ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, T, c_Groups_Oplus__class_Oplus( X, Y, Z
% 0.97/1.57     ) ) }.
% 0.97/1.57  { ! class_Groups_Oordered__comm__monoid__add( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.57     ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57    , Z ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57    , c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.97/1.57  { ! class_Groups_Oordered__comm__monoid__add( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ), 
% 0.97/1.57    ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57    , Z ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57    , c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__semidom( X ), c_Orderings_Oord__class_Oless( X
% 0.97/1.57    , c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, 
% 0.97/1.57    c_Groups_Oone__class_Oone( X ), c_Groups_Oone__class_Oone( X ) ) ) }.
% 0.97/1.57  { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z = 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, U, Y ), 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, T, Z ) ) = 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, hAPP
% 0.97/1.57    ( c_Groups_Otimes__class_Otimes( X, U ), Z ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, T ), Y ) ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Y ), Z ) ) }.
% 0.97/1.57  { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), 
% 0.97/1.57    c_Groups_Oplus__class_Oplus( X, c_Rings_Oinverse__class_Odivide( X, T, Y
% 0.97/1.57     ), Z ) = c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus
% 0.97/1.57    ( X, T, hAPP( c_Groups_Otimes__class_Otimes( X, Y ), Z ) ), Y ) }.
% 0.97/1.57  { ! class_Fields_Ofield__inverse__zero( X ), Y = 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ) = 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, T, 
% 0.97/1.57    hAPP( c_Groups_Otimes__class_Otimes( X, Z ), Y ) ), Y ) }.
% 0.97/1.57  { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), 
% 0.97/1.57    c_Groups_Oplus__class_Oplus( X, T, c_Rings_Oinverse__class_Odivide( X, Z
% 0.97/1.57    , Y ) ) = c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus
% 0.97/1.57    ( X, hAPP( c_Groups_Otimes__class_Otimes( X, Y ), T ), Z ), Y ) }.
% 0.97/1.57  { ! class_Fields_Ofield__inverse__zero( X ), Y = 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, T, 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) = 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, Z, 
% 0.97/1.57    hAPP( c_Groups_Otimes__class_Otimes( X, T ), Y ) ), Y ) }.
% 0.97/1.57  { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, 
% 0.97/1.57    c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal, X ) ), X ) = 
% 0.97/1.57    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless( 
% 0.97/1.57    X, Z, Y ), c_Orderings_Oord__class_Oless( X, 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.97/1.57     ), c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ), 
% 0.97/1.57    c_Groups_Oone__class_Oone( X ) ) ), Y ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless( 
% 0.97/1.57    X, Z, Y ), c_Orderings_Oord__class_Oless( X, Z, 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.97/1.57     ), c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ), 
% 0.97/1.57    c_Groups_Oone__class_Oone( X ) ) ) ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), 
% 0.97/1.57    c_Groups_Osgn__class_Osgn( tc_RealDef_Oreal, X ) = 
% 0.97/1.57    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__ring( X ), ! c_Orderings_Oord__class_Oless( X
% 0.97/1.57    , c_Groups_Oplus__class_Oplus( X, hAPP( c_Groups_Otimes__class_Otimes( X
% 0.97/1.57    , Z ), Z ), hAPP( c_Groups_Otimes__class_Otimes( X, Y ), Y ) ), 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__ring__strict( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), 
% 0.97/1.57    c_Groups_Oplus__class_Oplus( X, hAPP( c_Groups_Otimes__class_Otimes( X, Z
% 0.97/1.57     ), Z ), hAPP( c_Groups_Otimes__class_Otimes( X, Y ), Y ) ) ), ! Z = 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57     }.
% 0.97/1.57  { ! class_Rings_Olinordered__ring__strict( X ), Z = 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless( X, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Z ), Z ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Y ), Y ) ) ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__ring__strict( X ), Y = 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless( X, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Z ), Z ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Y ), Y ) ) ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__ring__strict( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, 
% 0.97/1.57    hAPP( c_Groups_Otimes__class_Otimes( X, Z ), Z ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Y ), Y ) ), c_Groups_Ozero__class_Ozero
% 0.97/1.57    ( X ) ), Z = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__ring__strict( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, 
% 0.97/1.57    hAPP( c_Groups_Otimes__class_Otimes( X, Z ), Z ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Y ), Y ) ), c_Groups_Ozero__class_Ozero
% 0.97/1.57    ( X ) ), Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__ring__strict( X ), ! Z = 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57    , c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, 
% 0.97/1.57    hAPP( c_Groups_Otimes__class_Otimes( X, Z ), Z ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Y ), Y ) ), c_Groups_Ozero__class_Ozero
% 0.97/1.57    ( X ) ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__ring( X ), c_Orderings_Oord__class_Oless__eq( 
% 0.97/1.57    X, c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, hAPP
% 0.97/1.57    ( c_Groups_Otimes__class_Otimes( X, Z ), Z ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Y ), Y ) ) ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y ), T ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X ), Z ) ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, T ), 
% 0.97/1.57    c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal, X ) ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z ), 
% 0.97/1.57    c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal, Y ) ) ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y ), T ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X ), Z ) ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, 
% 0.97/1.57    c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal, X ) ), T ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, 
% 0.97/1.57    c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal, Y ) ), Z ) ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__ring__strict( X ), ! 
% 0.97/1.57    c_Groups_Oplus__class_Oplus( X, hAPP( c_Groups_Otimes__class_Otimes( X, Z
% 0.97/1.57     ), Z ), hAPP( c_Groups_Otimes__class_Otimes( X, Y ), Y ) ) = 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ) }
% 0.97/1.57    .
% 0.97/1.57  { ! class_Rings_Olinordered__ring__strict( X ), ! 
% 0.97/1.57    c_Groups_Oplus__class_Oplus( X, hAPP( c_Groups_Otimes__class_Otimes( X, Z
% 0.97/1.57     ), Z ), hAPP( c_Groups_Otimes__class_Otimes( X, Y ), Y ) ) = 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.97/1.57    .
% 0.97/1.57  { ! class_Rings_Olinordered__ring__strict( X ), ! Z = 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57    , c_Groups_Oplus__class_Oplus( X, hAPP( c_Groups_Otimes__class_Otimes( X
% 0.97/1.57    , Z ), Z ), hAPP( c_Groups_Otimes__class_Otimes( X, Y ), Y ) ) = 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.97/1.57    , c_Groups_Oplus__class_Oplus( X, Y, Y ), c_Groups_Ozero__class_Ozero( X
% 0.97/1.57     ) ), c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X
% 0.97/1.57     ) ) }.
% 0.97/1.57  { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.97/1.57    , Y, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 0.97/1.57    , c_Groups_Oplus__class_Oplus( X, Y, Y ), c_Groups_Ozero__class_Ozero( X
% 0.97/1.57     ) ) }.
% 0.97/1.57  { ! class_Groups_Olinordered__ab__group__add( X ), ! 
% 0.97/1.57    c_Groups_Oplus__class_Oplus( X, Y, Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57    , Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.57  { ! class_Groups_Olinordered__ab__group__add( X ), ! Y = 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, Y, Y ) 
% 0.97/1.57    = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field( X ), c_Orderings_Oord__class_Oless( X
% 0.97/1.57    , c_Groups_Ozero__class_Ozero( X ), skol6( X, T, U ) ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Oplus__class_Oplus( X, 
% 0.97/1.57    Y, skol6( X, Y, Z ) ) ), c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, hAPP( 
% 0.97/1.57    c_Transcendental_Oln, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ) ), X ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), hAPP( 
% 0.97/1.57    c_Transcendental_Oln, hAPP( c_Groups_Otimes__class_Otimes( 
% 0.97/1.57    tc_RealDef_Oreal, X ), Y ) ) = c_Groups_Oplus__class_Oplus( 
% 0.97/1.57    tc_RealDef_Oreal, hAPP( c_Transcendental_Oln, X ), hAPP( 
% 0.97/1.57    c_Transcendental_Oln, Y ) ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, hAPP( 
% 0.97/1.57    c_Transcendental_Oln, X ), hAPP( c_Transcendental_Oln, Y ) ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, Y ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, Y ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, hAPP( 
% 0.97/1.57    c_Transcendental_Oln, X ), hAPP( c_Transcendental_Oln, Y ) ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), ! hAPP( 
% 0.97/1.57    c_Transcendental_Oln, X ) = hAPP( c_Transcendental_Oln, Y ), X = Y }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), ! X = Y, hAPP( 
% 0.97/1.57    c_Transcendental_Oln, X ) = hAPP( c_Transcendental_Oln, Y ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, hAPP( 
% 0.97/1.57    c_Transcendental_Oln, X ), X ) }.
% 0.97/1.57  { hAPP( c_Transcendental_Oln, c_Groups_Oone__class_Oone( tc_RealDef_Oreal )
% 0.97/1.57     ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, hAPP( 
% 0.97/1.57    c_Transcendental_Oln, X ), hAPP( c_Transcendental_Oln, Y ) ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, Y ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, Y ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, hAPP( 
% 0.97/1.57    c_Transcendental_Oln, X ), hAPP( c_Transcendental_Oln, Y ) ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), hAPP( 
% 0.97/1.57    c_Transcendental_Oln, X ) ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), hAPP( 
% 0.97/1.57    c_Transcendental_Oln, X ) ), ! c_Orderings_Oord__class_Oless( 
% 0.97/1.57    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, 
% 0.97/1.57    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, hAPP( 
% 0.97/1.57    c_Transcendental_Oln, X ), c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal
% 0.97/1.57     ) ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, hAPP( 
% 0.97/1.57    c_Transcendental_Oln, X ), c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal
% 0.97/1.57     ) ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, 
% 0.97/1.57    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, 
% 0.97/1.57    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, hAPP( 
% 0.97/1.57    c_Transcendental_Oln, X ), c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal
% 0.97/1.57     ) ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), ! hAPP( 
% 0.97/1.57    c_Transcendental_Oln, X ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal
% 0.97/1.57     ), X = c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), ! X = 
% 0.97/1.57    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), hAPP( c_Transcendental_Oln
% 0.97/1.57    , X ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), hAPP( 
% 0.97/1.57    c_Transcendental_Oln, X ) ), c_Orderings_Oord__class_Oless( 
% 0.97/1.57    tc_RealDef_Oreal, c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), hAPP( 
% 0.97/1.57    c_Transcendental_Oln, X ) ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), hAPP( 
% 0.97/1.57    c_Transcendental_Oln, X ) ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), hAPP( 
% 0.97/1.57    c_Transcendental_Oln, X ) ), ! c_Orderings_Oord__class_Oless( 
% 0.97/1.57    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), hAPP( 
% 0.97/1.57    c_Transcendental_Oln, X ) ), c_Orderings_Oord__class_Oless__eq( 
% 0.97/1.57    tc_RealDef_Oreal, c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), hAPP( 
% 0.97/1.57    c_Transcendental_Oln, X ) ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 0.97/1.57    class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X, 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of( 
% 0.97/1.57    X, Z ) ), Y ), alpha44( X, Y, Z, T ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 0.97/1.57    class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X, 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of( 
% 0.97/1.57    X, Z ) ), Y ), alpha60( X, Y, Z, T ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 0.97/1.57    class_Int_Onumber( X ), ! alpha44( X, Y, Z, T ), ! alpha60( X, Y, Z, T )
% 0.97/1.57    , c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( 
% 0.97/1.57    X, T, c_Int_Onumber__class_Onumber__of( X, Z ) ), Y ) }.
% 0.97/1.57  { ! alpha60( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Z
% 0.97/1.57     ) ), alpha72( X, Y, Z, T ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), 
% 0.97/1.57    c_Int_Onumber__class_Onumber__of( X, Z ) ), alpha60( X, Y, Z, T ) }.
% 0.97/1.57  { ! alpha72( X, Y, Z, T ), alpha60( X, Y, Z, T ) }.
% 0.97/1.57  { ! alpha72( X, Y, Z, T ), alpha84( X, Y, Z, T ) }.
% 0.97/1.57  { ! alpha72( X, Y, Z, T ), alpha16( X, Y, Z ) }.
% 0.97/1.57  { ! alpha84( X, Y, Z, T ), ! alpha16( X, Y, Z ), alpha72( X, Y, Z, T ) }.
% 0.97/1.57  { ! alpha84( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, 
% 0.97/1.57    c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero( X
% 0.97/1.57     ) ), c_Orderings_Oord__class_Oless__eq( X, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Y ), c_Int_Onumber__class_Onumber__of( 
% 0.97/1.57    X, Z ) ), T ) }.
% 0.97/1.57  { c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.97/1.57     ), c_Groups_Ozero__class_Ozero( X ) ), alpha84( X, Y, Z, T ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless__eq( X, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Y ), c_Int_Onumber__class_Onumber__of( 
% 0.97/1.57    X, Z ) ), T ), alpha84( X, Y, Z, T ) }.
% 0.97/1.57  { ! alpha44( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Z
% 0.97/1.57     ) ), c_Orderings_Oord__class_Oless__eq( X, T, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Y ), c_Int_Onumber__class_Onumber__of( 
% 0.97/1.57    X, Z ) ) ) }.
% 0.97/1.57  { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), 
% 0.97/1.57    c_Int_Onumber__class_Onumber__of( X, Z ) ), alpha44( X, Y, Z, T ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless__eq( X, T, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Y ), c_Int_Onumber__class_Onumber__of( 
% 0.97/1.57    X, Z ) ) ), alpha44( X, Y, Z, T ) }.
% 0.97/1.57  { ! alpha16( X, Y, Z ), c_Orderings_Oord__class_Oless( X, 
% 0.97/1.57    c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero( X
% 0.97/1.57     ) ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( 
% 0.97/1.57    X ), Y ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, 
% 0.97/1.57    Z ), c_Groups_Ozero__class_Ozero( X ) ), alpha16( X, Y, Z ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57    , Y ), alpha16( X, Y, Z ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 0.97/1.57    class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X, 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, T, Z ), 
% 0.97/1.57    c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha45( X, Y, Z, T ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 0.97/1.57    class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X, 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, T, Z ), 
% 0.97/1.57    c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha61( X, Y, Z, T ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 0.97/1.57    class_Int_Onumber( X ), ! alpha45( X, Y, Z, T ), ! alpha61( X, Y, Z, T )
% 0.97/1.57    , c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( 
% 0.97/1.57    X, T, Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.97/1.57  { ! alpha61( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), Z ), alpha73( X, Y, Z, T ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.97/1.57    , alpha61( X, Y, Z, T ) }.
% 0.97/1.57  { ! alpha73( X, Y, Z, T ), alpha61( X, Y, Z, T ) }.
% 0.97/1.57  { ! alpha73( X, Y, Z, T ), alpha85( X, Y, Z, T ) }.
% 0.97/1.57  { ! alpha73( X, Y, Z, T ), alpha17( X, Y, Z ) }.
% 0.97/1.57  { ! alpha85( X, Y, Z, T ), ! alpha17( X, Y, Z ), alpha73( X, Y, Z, T ) }.
% 0.97/1.57  { ! alpha85( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Z, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.57    , hAPP( c_Groups_Otimes__class_Otimes( X, 
% 0.97/1.57    c_Int_Onumber__class_Onumber__of( X, Y ) ), Z ), T ) }.
% 0.97/1.57  { c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ), 
% 0.97/1.57    alpha85( X, Y, Z, T ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless__eq( X, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.97/1.57     ) ), Z ), T ), alpha85( X, Y, Z, T ) }.
% 0.97/1.57  { ! alpha45( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless__eq
% 0.97/1.57    ( X, T, hAPP( c_Groups_Otimes__class_Otimes( X, 
% 0.97/1.57    c_Int_Onumber__class_Onumber__of( X, Y ) ), Z ) ) }.
% 0.97/1.57  { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ), 
% 0.97/1.57    alpha45( X, Y, Z, T ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless__eq( X, T, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.97/1.57     ) ), Z ) ), alpha45( X, Y, Z, T ) }.
% 0.97/1.57  { ! alpha17( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.57    , c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, 
% 0.97/1.57    Y ) ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.57    , alpha17( X, Y, Z ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57    , c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha17( X, Y, Z ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 0.97/1.57    class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X, 
% 0.97/1.57    c_Int_Onumber__class_Onumber__of( X, T ), c_Rings_Oinverse__class_Odivide
% 0.97/1.57    ( X, Z, Y ) ), alpha46( X, Y, Z, T ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 0.97/1.57    class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X, 
% 0.97/1.57    c_Int_Onumber__class_Onumber__of( X, T ), c_Rings_Oinverse__class_Odivide
% 0.97/1.57    ( X, Z, Y ) ), alpha62( X, Y, Z, T ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 0.97/1.57    class_Int_Onumber( X ), ! alpha46( X, Y, Z, T ), ! alpha62( X, Y, Z, T )
% 0.97/1.57    , c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of
% 0.97/1.57    ( X, T ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.97/1.57  { ! alpha62( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), Y ), alpha74( X, Y, Z, T ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.97/1.57    , alpha62( X, Y, Z, T ) }.
% 0.97/1.57  { ! alpha74( X, Y, Z, T ), alpha62( X, Y, Z, T ) }.
% 0.97/1.57  { ! alpha74( X, Y, Z, T ), alpha86( X, Y, Z, T ) }.
% 0.97/1.57  { ! alpha74( X, Y, Z, T ), alpha18( X, Y, T ) }.
% 0.97/1.57  { ! alpha86( X, Y, Z, T ), ! alpha18( X, Y, T ), alpha74( X, Y, Z, T ) }.
% 0.97/1.57  { ! alpha86( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Y, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.57    , Z, hAPP( c_Groups_Otimes__class_Otimes( X, 
% 0.97/1.57    c_Int_Onumber__class_Onumber__of( X, T ) ), Y ) ) }.
% 0.97/1.57  { c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ), 
% 0.97/1.57    alpha86( X, Y, Z, T ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless__eq( X, Z, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.97/1.57     ) ), Y ) ), alpha86( X, Y, Z, T ) }.
% 0.97/1.57  { ! alpha46( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless__eq
% 0.97/1.57    ( X, hAPP( c_Groups_Otimes__class_Otimes( X, 
% 0.97/1.57    c_Int_Onumber__class_Onumber__of( X, T ) ), Y ), Z ) }.
% 0.97/1.57  { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ), 
% 0.97/1.57    alpha46( X, Y, Z, T ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless__eq( X, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.97/1.57     ) ), Y ), Z ), alpha46( X, Y, Z, T ) }.
% 0.97/1.57  { ! alpha18( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.97/1.57    , c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero( 
% 0.97/1.57    X ) ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.57    , alpha18( X, Y, Z ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of
% 0.97/1.57    ( X, Z ), c_Groups_Ozero__class_Ozero( X ) ), alpha18( X, Y, Z ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 0.97/1.57    class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X, T, 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of( 
% 0.97/1.57    X, Y ) ) ), alpha47( X, Y, Z, T ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 0.97/1.57    class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X, T, 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of( 
% 0.97/1.57    X, Y ) ) ), alpha63( X, Y, Z, T ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 0.97/1.57    class_Int_Onumber( X ), ! alpha47( X, Y, Z, T ), ! alpha63( X, Y, Z, T )
% 0.97/1.57    , c_Orderings_Oord__class_Oless__eq( X, T, 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of( 
% 0.97/1.57    X, Y ) ) ) }.
% 0.97/1.57  { ! alpha63( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 0.97/1.57     ) ), alpha75( X, Y, Z, T ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), 
% 0.97/1.57    c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha63( X, Y, Z, T ) }.
% 0.97/1.57  { ! alpha75( X, Y, Z, T ), alpha63( X, Y, Z, T ) }.
% 0.97/1.57  { ! alpha75( X, Y, Z, T ), alpha87( X, Y, Z, T ) }.
% 0.97/1.57  { ! alpha75( X, Y, Z, T ), alpha19( X, Y, T ) }.
% 0.97/1.57  { ! alpha87( X, Y, Z, T ), ! alpha19( X, Y, T ), alpha75( X, Y, Z, T ) }.
% 0.97/1.57  { ! alpha87( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, 
% 0.97/1.57    c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Ozero__class_Ozero( X
% 0.97/1.57     ) ), c_Orderings_Oord__class_Oless__eq( X, Z, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, T ), c_Int_Onumber__class_Onumber__of( 
% 0.97/1.57    X, Y ) ) ) }.
% 0.97/1.57  { c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.97/1.57     ), c_Groups_Ozero__class_Ozero( X ) ), alpha87( X, Y, Z, T ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless__eq( X, Z, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, T ), c_Int_Onumber__class_Onumber__of( 
% 0.97/1.57    X, Y ) ) ), alpha87( X, Y, Z, T ) }.
% 0.97/1.57  { ! alpha47( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 0.97/1.57     ) ), c_Orderings_Oord__class_Oless__eq( X, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, T ), c_Int_Onumber__class_Onumber__of( 
% 0.97/1.57    X, Y ) ), Z ) }.
% 0.97/1.57  { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), 
% 0.97/1.57    c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha47( X, Y, Z, T ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless__eq( X, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, T ), c_Int_Onumber__class_Onumber__of( 
% 0.97/1.57    X, Y ) ), Z ), alpha47( X, Y, Z, T ) }.
% 0.97/1.57  { ! alpha19( X, Y, Z ), c_Orderings_Oord__class_Oless( X, 
% 0.97/1.57    c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Ozero__class_Ozero( X
% 0.97/1.57     ) ), c_Orderings_Oord__class_Oless__eq( X, Z, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, 
% 0.97/1.57    Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha19( X, Y, Z ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.97/1.57     ) ), alpha19( X, Y, Z ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), c_Deriv_Oderiv( 
% 0.97/1.57    tc_RealDef_Oreal, c_Transcendental_Oln, X, 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, 
% 0.97/1.57    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ) ) }.
% 0.97/1.57  { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X, 
% 0.97/1.57    c_Int_Onumber__class_Onumber__of( X, T ), c_Groups_Oplus__class_Oplus( X
% 0.97/1.57    , c_Int_Onumber__class_Onumber__of( X, Z ), Y ) ) = 
% 0.97/1.57    c_Groups_Oplus__class_Oplus( X, c_Int_Onumber__class_Onumber__of( X, 
% 0.97/1.57    c_Groups_Oplus__class_Oplus( tc_Int_Oint, T, Z ) ), Y ) }.
% 0.97/1.57  { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X, 
% 0.97/1.57    c_Int_Onumber__class_Onumber__of( X, Z ), 
% 0.97/1.57    c_Int_Onumber__class_Onumber__of( X, Y ) ) = 
% 0.97/1.57    c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus( 
% 0.97/1.57    tc_Int_Oint, Z, Y ) ) }.
% 0.97/1.57  { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X, 
% 0.97/1.57    c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, Y ) ) = 
% 0.97/1.57    c_Groups_Oplus__class_Oplus( X, c_Int_Onumber__class_Onumber__of( X, Z )
% 0.97/1.57    , c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.97/1.57  { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.97/1.57     ), c_Int_Onumber__class_Onumber__of( X, Y ) ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, Y ) }.
% 0.97/1.57  { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, Y ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.97/1.57     ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.97/1.57  { ! class_Int_Onumber__ring( X ), ! class_Int_Oring__char__0( X ), ! 
% 0.97/1.57    c_Int_Onumber__class_Onumber__of( X, Z ) = 
% 0.97/1.57    c_Int_Onumber__class_Onumber__of( X, Y ), Z = Y }.
% 0.97/1.57  { ! class_Int_Onumber__ring( X ), ! class_Int_Oring__char__0( X ), ! Z = Y
% 0.97/1.57    , c_Int_Onumber__class_Onumber__of( X, Z ) = 
% 0.97/1.57    c_Int_Onumber__class_Onumber__of( X, Y ) }.
% 0.97/1.57  { ! class_Int_Onumber( X ), ! c_Int_Onumber__class_Onumber__of( X, Z ) = Y
% 0.97/1.57    , Y = c_Int_Onumber__class_Onumber__of( X, Z ) }.
% 0.97/1.57  { ! class_Int_Onumber( X ), ! Y = c_Int_Onumber__class_Onumber__of( X, Z )
% 0.97/1.57    , c_Int_Onumber__class_Onumber__of( X, Z ) = Y }.
% 0.97/1.57  { ! class_Int_Onumber__ring( X ), hAPP( c_Groups_Otimes__class_Otimes( X, 
% 0.97/1.57    c_Int_Onumber__class_Onumber__of( X, T ) ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.97/1.57     ) ), Y ) ) = hAPP( c_Groups_Otimes__class_Otimes( X, 
% 0.97/1.57    c_Int_Onumber__class_Onumber__of( X, hAPP( c_Groups_Otimes__class_Otimes
% 0.97/1.57    ( tc_Int_Oint, T ), Z ) ) ), Y ) }.
% 0.97/1.57  { ! class_Int_Onumber__ring( X ), hAPP( c_Groups_Otimes__class_Otimes( X, 
% 0.97/1.57    c_Int_Onumber__class_Onumber__of( X, Z ) ), 
% 0.97/1.57    c_Int_Onumber__class_Onumber__of( X, Y ) ) = 
% 0.97/1.57    c_Int_Onumber__class_Onumber__of( X, hAPP( c_Groups_Otimes__class_Otimes
% 0.97/1.57    ( tc_Int_Oint, Z ), Y ) ) }.
% 0.97/1.57  { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X, hAPP
% 0.97/1.57    ( c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z ), Y ) ) = hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.97/1.57     ) ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.97/1.57  { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.97/1.57    , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Z, Y ) }.
% 0.97/1.57  { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Z, Y ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.97/1.57    , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.97/1.57  { ! class_Int_Onumber( X ), ! class_Orderings_Olinorder( X ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.97/1.57    , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ), ! 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.97/1.57     ), c_Int_Onumber__class_Onumber__of( X, Z ) ) }.
% 0.97/1.57  { ! class_Int_Onumber( X ), ! class_Orderings_Olinorder( X ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.97/1.57     ), c_Int_Onumber__class_Onumber__of( X, Z ) ), 
% 0.97/1.57    c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.97/1.57    , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.97/1.57  { ! class_Int_Onumber( X ), ! class_Rings_Osemiring( X ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.97/1.57     ), c_Int_Onumber__class_Onumber__of( X, Y ) ) = 
% 0.97/1.57    c_Groups_Oplus__class_Oplus( X, hAPP( c_Groups_Otimes__class_Otimes( X, T
% 0.97/1.57     ), c_Int_Onumber__class_Onumber__of( X, Y ) ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Z ), c_Int_Onumber__class_Onumber__of( 
% 0.97/1.57    X, Y ) ) ) }.
% 0.97/1.57  { ! class_Int_Onumber( X ), ! class_Rings_Osemiring( X ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.97/1.57     ) ), c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = 
% 0.97/1.57    c_Groups_Oplus__class_Oplus( X, hAPP( c_Groups_Otimes__class_Otimes( X, 
% 0.97/1.57    c_Int_Onumber__class_Onumber__of( X, T ) ), Z ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.97/1.57     ) ), Y ) ) }.
% 0.97/1.57  { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), ! T 
% 0.97/1.57    = c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of
% 0.97/1.57    ( X, Y ) ), alpha48( X, Y, Z, T ) }.
% 0.97/1.57  { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), ! T 
% 0.97/1.57    = c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of
% 0.97/1.57    ( X, Y ) ), alpha20( X, Y, T ) }.
% 0.97/1.57  { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), ! 
% 0.97/1.57    alpha48( X, Y, Z, T ), ! alpha20( X, Y, T ), T = 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of( 
% 0.97/1.57    X, Y ) ) }.
% 0.97/1.57  { ! alpha48( X, Y, Z, T ), c_Int_Onumber__class_Onumber__of( X, Y ) = 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), hAPP( c_Groups_Otimes__class_Otimes( X
% 0.97/1.57    , T ), c_Int_Onumber__class_Onumber__of( X, Y ) ) = Z }.
% 0.97/1.57  { ! c_Int_Onumber__class_Onumber__of( X, Y ) = c_Groups_Ozero__class_Ozero
% 0.97/1.57    ( X ), alpha48( X, Y, Z, T ) }.
% 0.97/1.57  { ! hAPP( c_Groups_Otimes__class_Otimes( X, T ), 
% 0.97/1.57    c_Int_Onumber__class_Onumber__of( X, Y ) ) = Z, alpha48( X, Y, Z, T ) }.
% 0.97/1.57  { ! alpha20( X, Y, Z ), ! c_Int_Onumber__class_Onumber__of( X, Y ) = 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ) }
% 0.97/1.57    .
% 0.97/1.57  { c_Int_Onumber__class_Onumber__of( X, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.97/1.57     ), alpha20( X, Y, Z ) }.
% 0.97/1.57  { ! Z = c_Groups_Ozero__class_Ozero( X ), alpha20( X, Y, Z ) }.
% 0.97/1.57  { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), ! 
% 0.97/1.57    c_Int_Onumber__class_Onumber__of( X, T ) = 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, Z, Y ), alpha49( X, Y, Z, T ) }.
% 0.97/1.57  { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), ! 
% 0.97/1.57    c_Int_Onumber__class_Onumber__of( X, T ) = 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, Z, Y ), alpha21( X, Y, T ) }.
% 0.97/1.57  { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), ! 
% 0.97/1.57    alpha49( X, Y, Z, T ), ! alpha21( X, Y, T ), 
% 0.97/1.57    c_Int_Onumber__class_Onumber__of( X, T ) = 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.97/1.57  { ! alpha49( X, Y, Z, T ), Y = c_Groups_Ozero__class_Ozero( X ), hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.97/1.57     ) ), Y ) = Z }.
% 0.97/1.57  { ! Y = c_Groups_Ozero__class_Ozero( X ), alpha49( X, Y, Z, T ) }.
% 0.97/1.57  { ! hAPP( c_Groups_Otimes__class_Otimes( X, 
% 0.97/1.57    c_Int_Onumber__class_Onumber__of( X, T ) ), Y ) = Z, alpha49( X, Y, Z, T
% 0.97/1.57     ) }.
% 0.97/1.57  { ! alpha21( X, Y, Z ), ! Y = c_Groups_Ozero__class_Ozero( X ), 
% 0.97/1.57    c_Int_Onumber__class_Onumber__of( X, Z ) = c_Groups_Ozero__class_Ozero( X
% 0.97/1.57     ) }.
% 0.97/1.57  { Y = c_Groups_Ozero__class_Ozero( X ), alpha21( X, Y, Z ) }.
% 0.97/1.57  { ! c_Int_Onumber__class_Onumber__of( X, Z ) = c_Groups_Ozero__class_Ozero
% 0.97/1.57    ( X ), alpha21( X, Y, Z ) }.
% 0.97/1.57  { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), ! 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, T, Z ) = 
% 0.97/1.57    c_Int_Onumber__class_Onumber__of( X, Y ), alpha50( X, Y, Z, T ) }.
% 0.97/1.57  { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), ! 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, T, Z ) = 
% 0.97/1.57    c_Int_Onumber__class_Onumber__of( X, Y ), alpha22( X, Y, Z ) }.
% 0.97/1.57  { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), ! 
% 0.97/1.57    alpha50( X, Y, Z, T ), ! alpha22( X, Y, Z ), 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, T, Z ) = 
% 0.97/1.57    c_Int_Onumber__class_Onumber__of( X, Y ) }.
% 0.97/1.57  { ! alpha50( X, Y, Z, T ), Z = c_Groups_Ozero__class_Ozero( X ), T = hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.97/1.57     ) ), Z ) }.
% 0.97/1.57  { ! Z = c_Groups_Ozero__class_Ozero( X ), alpha50( X, Y, Z, T ) }.
% 0.97/1.57  { ! T = hAPP( c_Groups_Otimes__class_Otimes( X, 
% 0.97/1.57    c_Int_Onumber__class_Onumber__of( X, Y ) ), Z ), alpha50( X, Y, Z, T ) }
% 0.97/1.57    .
% 0.97/1.57  { ! alpha22( X, Y, Z ), ! Z = c_Groups_Ozero__class_Ozero( X ), 
% 0.97/1.57    c_Int_Onumber__class_Onumber__of( X, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.97/1.57     ) }.
% 0.97/1.57  { Z = c_Groups_Ozero__class_Ozero( X ), alpha22( X, Y, Z ) }.
% 0.97/1.57  { ! c_Int_Onumber__class_Onumber__of( X, Y ) = c_Groups_Ozero__class_Ozero
% 0.97/1.57    ( X ), alpha22( X, Y, Z ) }.
% 0.97/1.57  { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), ! 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of( 
% 0.97/1.57    X, Z ) ) = Y, alpha51( X, Y, Z, T ) }.
% 0.97/1.57  { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), ! 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of( 
% 0.97/1.57    X, Z ) ) = Y, alpha23( X, Y, Z ) }.
% 0.97/1.57  { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), ! 
% 0.97/1.57    alpha51( X, Y, Z, T ), ! alpha23( X, Y, Z ), 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of( 
% 0.97/1.57    X, Z ) ) = Y }.
% 0.97/1.57  { ! alpha51( X, Y, Z, T ), c_Int_Onumber__class_Onumber__of( X, Z ) = 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), T = hAPP( c_Groups_Otimes__class_Otimes
% 0.97/1.57    ( X, Y ), c_Int_Onumber__class_Onumber__of( X, Z ) ) }.
% 0.97/1.57  { ! c_Int_Onumber__class_Onumber__of( X, Z ) = c_Groups_Ozero__class_Ozero
% 0.97/1.57    ( X ), alpha51( X, Y, Z, T ) }.
% 0.97/1.57  { ! T = hAPP( c_Groups_Otimes__class_Otimes( X, Y ), 
% 0.97/1.57    c_Int_Onumber__class_Onumber__of( X, Z ) ), alpha51( X, Y, Z, T ) }.
% 0.97/1.57  { ! alpha23( X, Y, Z ), ! c_Int_Onumber__class_Onumber__of( X, Z ) = 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.97/1.57    .
% 0.97/1.57  { c_Int_Onumber__class_Onumber__of( X, Z ) = c_Groups_Ozero__class_Ozero( X
% 0.97/1.57     ), alpha23( X, Y, Z ) }.
% 0.97/1.57  { ! Y = c_Groups_Ozero__class_Ozero( X ), alpha23( X, Y, Z ) }.
% 0.97/1.57  { ! class_Int_Onumber( X ), ! class_Rings_Odivision__ring( X ), 
% 0.97/1.57    c_Rings_Oinverse__class_Oinverse( X, c_Int_Onumber__class_Onumber__of( X
% 0.97/1.57    , Y ) ) = c_Rings_Oinverse__class_Odivide( X, c_Groups_Oone__class_Oone( 
% 0.97/1.57    X ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 0.97/1.57    class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X, 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of( 
% 0.97/1.57    X, Z ) ), Y ), alpha52( X, Y, Z, T ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 0.97/1.57    class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X, 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of( 
% 0.97/1.57    X, Z ) ), Y ), alpha64( X, Y, Z, T ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 0.97/1.57    class_Int_Onumber( X ), ! alpha52( X, Y, Z, T ), ! alpha64( X, Y, Z, T )
% 0.97/1.57    , c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T
% 0.97/1.57    , c_Int_Onumber__class_Onumber__of( X, Z ) ), Y ) }.
% 0.97/1.57  { ! alpha64( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Z
% 0.97/1.57     ) ), alpha76( X, Y, Z, T ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), 
% 0.97/1.57    c_Int_Onumber__class_Onumber__of( X, Z ) ), alpha64( X, Y, Z, T ) }.
% 0.97/1.57  { ! alpha76( X, Y, Z, T ), alpha64( X, Y, Z, T ) }.
% 0.97/1.57  { ! alpha76( X, Y, Z, T ), alpha88( X, Y, Z, T ) }.
% 0.97/1.57  { ! alpha76( X, Y, Z, T ), alpha24( X, Y, Z ) }.
% 0.97/1.57  { ! alpha88( X, Y, Z, T ), ! alpha24( X, Y, Z ), alpha76( X, Y, Z, T ) }.
% 0.97/1.57  { ! alpha88( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, 
% 0.97/1.57    c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero( X
% 0.97/1.57     ) ), c_Orderings_Oord__class_Oless( X, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Y ), c_Int_Onumber__class_Onumber__of( 
% 0.97/1.57    X, Z ) ), T ) }.
% 0.97/1.57  { c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.97/1.57     ), c_Groups_Ozero__class_Ozero( X ) ), alpha88( X, Y, Z, T ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( X, hAPP( c_Groups_Otimes__class_Otimes( 
% 0.97/1.57    X, Y ), c_Int_Onumber__class_Onumber__of( X, Z ) ), T ), alpha88( X, Y, Z
% 0.97/1.57    , T ) }.
% 0.97/1.57  { ! alpha52( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Z
% 0.97/1.57     ) ), c_Orderings_Oord__class_Oless( X, T, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Y ), c_Int_Onumber__class_Onumber__of( 
% 0.97/1.57    X, Z ) ) ) }.
% 0.97/1.57  { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), 
% 0.97/1.57    c_Int_Onumber__class_Onumber__of( X, Z ) ), alpha52( X, Y, Z, T ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( X, T, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, Y ), c_Int_Onumber__class_Onumber__of( 
% 0.97/1.57    X, Z ) ) ), alpha52( X, Y, Z, T ) }.
% 0.97/1.57  { ! alpha24( X, Y, Z ), c_Orderings_Oord__class_Oless( X, 
% 0.97/1.57    c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero( X
% 0.97/1.57     ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.57    , Y ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, 
% 0.97/1.57    Z ), c_Groups_Ozero__class_Ozero( X ) ), alpha24( X, Y, Z ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.97/1.57    , alpha24( X, Y, Z ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 0.97/1.57    class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X, 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, T, Z ), 
% 0.97/1.57    c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha53( X, Y, Z, T ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 0.97/1.57    class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X, 
% 0.97/1.57    c_Rings_Oinverse__class_Odivide( X, T, Z ), 
% 0.97/1.57    c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha65( X, Y, Z, T ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 0.97/1.57    class_Int_Onumber( X ), ! alpha53( X, Y, Z, T ), ! alpha65( X, Y, Z, T )
% 0.97/1.57    , c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T
% 0.97/1.57    , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.97/1.57  { ! alpha65( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), Z ), alpha77( X, Y, Z, T ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.97/1.57    , alpha65( X, Y, Z, T ) }.
% 0.97/1.57  { ! alpha77( X, Y, Z, T ), alpha65( X, Y, Z, T ) }.
% 0.97/1.57  { ! alpha77( X, Y, Z, T ), alpha89( X, Y, Z, T ) }.
% 0.97/1.57  { ! alpha77( X, Y, Z, T ), alpha25( X, Y, Z ) }.
% 0.97/1.57  { ! alpha89( X, Y, Z, T ), ! alpha25( X, Y, Z ), alpha77( X, Y, Z, T ) }.
% 0.97/1.57  { ! alpha89( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Z, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, 
% 0.97/1.57    hAPP( c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of
% 0.97/1.57    ( X, Y ) ), Z ), T ) }.
% 0.97/1.57  { c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ), 
% 0.97/1.57    alpha89( X, Y, Z, T ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( X, hAPP( c_Groups_Otimes__class_Otimes( 
% 0.97/1.57    X, c_Int_Onumber__class_Onumber__of( X, Y ) ), Z ), T ), alpha89( X, Y, Z
% 0.97/1.57    , T ) }.
% 0.97/1.57  { ! alpha53( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless( X, 
% 0.97/1.57    T, hAPP( c_Groups_Otimes__class_Otimes( X, 
% 0.97/1.57    c_Int_Onumber__class_Onumber__of( X, Y ) ), Z ) ) }.
% 0.97/1.57  { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ), 
% 0.97/1.57    alpha53( X, Y, Z, T ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( X, T, hAPP( 
% 0.97/1.57    c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.97/1.57     ) ), Z ) ), alpha53( X, Y, Z, T ) }.
% 0.97/1.57  { ! alpha25( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 0.97/1.57     ) ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.57    , alpha25( X, Y, Z ) }.
% 0.97/1.57  { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), 
% 0.97/1.57    c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha25( X, Y, Z ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 0.97/1.57    class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X, 
% 0.97/1.57    c_Int_Onumber__class_Onumber__of( X, T ), c_Rings_Oinverse__class_Odivide
% 0.97/1.57    ( X, Z, Y ) ), alpha54( X, Y, Z, T ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 0.97/1.57    class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X, 
% 0.97/1.57    c_Int_Onumber__class_Onumber__of( X, T ), c_Rings_Oinverse__class_Odivide
% 0.97/1.57    ( X, Z, Y ) ), alpha66( X, Y, Z, T ) }.
% 0.97/1.57  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 0.97/1.57    class_Int_Onumber( X ), ! alpha54( X, Y, Z, T ), ! alpha66( X, Y, Z, T )
% 0.97/1.57    , c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, 
% 0.97/1.57    T ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.97/1.57  { ! alpha66( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, 
% 0.97/1.57    c_Groups_Ozero__class_Ozero( X ), Y ), alpha78( X, Y, Z, T ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.97/1.58    , alpha66( X, Y, Z, T ) }.
% 0.97/1.58  { ! alpha78( X, Y, Z, T ), alpha66( X, Y, Z, T ) }.
% 0.97/1.58  { ! alpha78( X, Y, Z, T ), alpha90( X, Y, Z, T ) }.
% 0.97/1.58  { ! alpha78( X, Y, Z, T ), alpha26( X, Y, T ) }.
% 0.97/1.58  { ! alpha90( X, Y, Z, T ), ! alpha26( X, Y, T ), alpha78( X, Y, Z, T ) }.
% 0.97/1.58  { ! alpha90( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Y, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, Z, 
% 0.97/1.58    hAPP( c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of
% 0.97/1.58    ( X, T ) ), Y ) ) }.
% 0.97/1.58  { c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ), 
% 0.97/1.58    alpha90( X, Y, Z, T ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( X, Z, hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.97/1.58     ) ), Y ) ), alpha90( X, Y, Z, T ) }.
% 0.97/1.58  { ! alpha54( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless( X, 
% 0.97/1.58    hAPP( c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of
% 0.97/1.58    ( X, T ) ), Y ), Z ) }.
% 0.97/1.58  { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ), 
% 0.97/1.58    alpha54( X, Y, Z, T ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( X, hAPP( c_Groups_Otimes__class_Otimes( 
% 0.97/1.58    X, c_Int_Onumber__class_Onumber__of( X, T ) ), Y ), Z ), alpha54( X, Y, Z
% 0.97/1.58    , T ) }.
% 0.97/1.58  { ! alpha26( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero( X
% 0.97/1.58     ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.58    , alpha26( X, Y, Z ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, 
% 0.97/1.58    Z ), c_Groups_Ozero__class_Ozero( X ) ), alpha26( X, Y, Z ) }.
% 0.97/1.58  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 0.97/1.58    class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X, T, 
% 0.97/1.58    c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of( 
% 0.97/1.58    X, Y ) ) ), alpha55( X, Y, Z, T ) }.
% 0.97/1.58  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 0.97/1.58    class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X, T, 
% 0.97/1.58    c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of( 
% 0.97/1.58    X, Y ) ) ), alpha67( X, Y, Z, T ) }.
% 0.97/1.58  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 0.97/1.58    class_Int_Onumber( X ), ! alpha55( X, Y, Z, T ), ! alpha67( X, Y, Z, T )
% 0.97/1.58    , c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X
% 0.97/1.58    , Z, c_Int_Onumber__class_Onumber__of( X, Y ) ) ) }.
% 0.97/1.58  { ! alpha67( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 0.97/1.58     ) ), alpha79( X, Y, Z, T ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha67( X, Y, Z, T ) }.
% 0.97/1.58  { ! alpha79( X, Y, Z, T ), alpha67( X, Y, Z, T ) }.
% 0.97/1.58  { ! alpha79( X, Y, Z, T ), alpha91( X, Y, Z, T ) }.
% 0.97/1.58  { ! alpha79( X, Y, Z, T ), alpha27( X, Y, T ) }.
% 0.97/1.58  { ! alpha91( X, Y, Z, T ), ! alpha27( X, Y, T ), alpha79( X, Y, Z, T ) }.
% 0.97/1.58  { ! alpha91( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Ozero__class_Ozero( X
% 0.97/1.58     ) ), c_Orderings_Oord__class_Oless( X, Z, hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( X, T ), c_Int_Onumber__class_Onumber__of( 
% 0.97/1.58    X, Y ) ) ) }.
% 0.97/1.58  { c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.97/1.58     ), c_Groups_Ozero__class_Ozero( X ) ), alpha91( X, Y, Z, T ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( X, Z, hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( X, T ), c_Int_Onumber__class_Onumber__of( 
% 0.97/1.58    X, Y ) ) ), alpha91( X, Y, Z, T ) }.
% 0.97/1.58  { ! alpha55( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 0.97/1.58     ) ), c_Orderings_Oord__class_Oless( X, hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( X, T ), c_Int_Onumber__class_Onumber__of( 
% 0.97/1.58    X, Y ) ), Z ) }.
% 0.97/1.58  { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha55( X, Y, Z, T ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( X, hAPP( c_Groups_Otimes__class_Otimes( 
% 0.97/1.58    X, T ), c_Int_Onumber__class_Onumber__of( X, Y ) ), Z ), alpha55( X, Y, Z
% 0.97/1.58    , T ) }.
% 0.97/1.58  { ! alpha27( X, Y, Z ), c_Orderings_Oord__class_Oless( X, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Ozero__class_Ozero( X
% 0.97/1.58     ) ), c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.97/1.58     ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, 
% 0.97/1.58    Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha27( X, Y, Z ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.58    , alpha27( X, Y, Z ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), c_Deriv_Oderiv( 
% 0.97/1.58    tc_RealDef_Oreal, c_Transcendental_Oln, X, 
% 0.97/1.58    c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal, X ) ) }.
% 0.97/1.58  { ! class_RealVector_Oreal__normed__field( X ), c_Deriv_Oderiv( X, 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( X, Z ), Y, Z ) }.
% 0.97/1.58  { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X, 
% 0.97/1.58    c_Int_Osucc( Y ) ) = c_Groups_Oplus__class_Oplus( X, 
% 0.97/1.58    c_Groups_Oone__class_Oone( X ), c_Int_Onumber__class_Onumber__of( X, Y )
% 0.97/1.58     ) }.
% 0.97/1.58  { ! X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), 
% 0.97/1.58    c_Groups_Osgn__class_Osgn( tc_RealDef_Oreal, X ) = 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.97/1.58  { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), 
% 0.97/1.58    c_Groups_Osgn__class_Osgn( tc_RealDef_Oreal, X ) = 
% 0.97/1.58    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.97/1.58  { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), 
% 0.97/1.58    c_Groups_Osgn__class_Osgn( tc_RealDef_Oreal, X ) = 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.97/1.58  { ! X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), 
% 0.97/1.58    c_Groups_Osgn__class_Osgn( tc_RealDef_Oreal, X ) = 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.97/1.58  { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), 
% 0.97/1.58    c_Groups_Osgn__class_Osgn( tc_RealDef_Oreal, X ) = 
% 0.97/1.58    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.97/1.58  { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), 
% 0.97/1.58    c_Groups_Osgn__class_Osgn( tc_RealDef_Oreal, X ) = 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oone__class_Oone
% 0.97/1.58    ( tc_RealDef_Oreal ), X ), hAPP( c_Transcendental_Oexp( tc_RealDef_Oreal
% 0.97/1.58     ), X ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, hAPP( 
% 0.97/1.58    c_Transcendental_Oexp( tc_RealDef_Oreal ), Y ), hAPP( 
% 0.97/1.58    c_Transcendental_Oexp( tc_RealDef_Oreal ), X ) ) }.
% 0.97/1.58  { c_Groups_Oplus__class_Oplus( tc_Int_Oint, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ), 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) = 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Int_Oint, 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ), 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Int_Oint, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ), 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) }.
% 0.97/1.58  { hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ) ), 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) = 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Int_Oint, hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y ), X ) ) }.
% 0.97/1.58  { ! class_Int_Onumber__ring( X ), hAPP( c_Groups_Otimes__class_Otimes( X, 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( X, c_Int_Onumber__class_Onumber__of( X, 
% 0.97/1.58    Z ) ) ), Y ) = hAPP( c_Groups_Otimes__class_Otimes( X, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( X, c_Groups_Ouminus__class_Ouminus( 
% 0.97/1.58    tc_Int_Oint, Z ) ) ), Y ) }.
% 0.97/1.58  { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X, 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y ) ) = 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( X, c_Int_Onumber__class_Onumber__of( X, 
% 0.97/1.58    Y ) ) }.
% 0.97/1.58  { ! class_Int_Onumber__ring( X ), c_Groups_Ouminus__class_Ouminus( X, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( X, Y ) ) = 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( X, c_Groups_Ouminus__class_Ouminus( 
% 0.97/1.58    tc_Int_Oint, Y ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ), 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ), 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) }.
% 0.97/1.58  { ! class_RealVector_Oreal__normed__vector( X ), c_Groups_Osgn__class_Osgn
% 0.97/1.58    ( X, c_Groups_Ouminus__class_Ouminus( X, Y ) ) = 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( X, c_Groups_Osgn__class_Osgn( X, Y ) ) }
% 0.97/1.58    .
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, hAPP( 
% 0.97/1.58    c_Transcendental_Oexp( tc_RealDef_Oreal ), Y ), hAPP( 
% 0.97/1.58    c_Transcendental_Oexp( tc_RealDef_Oreal ), X ) ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, hAPP( 
% 0.97/1.58    c_Transcendental_Oexp( tc_RealDef_Oreal ), Y ), hAPP( 
% 0.97/1.58    c_Transcendental_Oexp( tc_RealDef_Oreal ), X ) ) }.
% 0.97/1.58  { ! class_RealVector_Oreal__normed__field( X ), ! class_SEQ_Obanach( X ), 
% 0.97/1.58    hAPP( c_Transcendental_Oexp( X ), c_Groups_Ouminus__class_Ouminus( X, Y )
% 0.97/1.58     ) = c_Rings_Oinverse__class_Oinverse( X, hAPP( c_Transcendental_Oexp( X
% 0.97/1.58     ), Y ) ) }.
% 0.97/1.58  { ! hAPP( c_Transcendental_Oexp( tc_RealDef_Oreal ), Y ) = hAPP( 
% 0.97/1.58    c_Transcendental_Oexp( tc_RealDef_Oreal ), X ), Y = X }.
% 0.97/1.58  { ! Y = X, hAPP( c_Transcendental_Oexp( tc_RealDef_Oreal ), Y ) = hAPP( 
% 0.97/1.58    c_Transcendental_Oexp( tc_RealDef_Oreal ), X ) }.
% 0.97/1.58  { ! class_Groups_Ogroup__add( X ), c_Groups_Ouminus__class_Ouminus( X, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( X ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.58  { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ozero__class_Ozero( X ) = 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( X, Y ), c_Groups_Ozero__class_Ozero( X )
% 0.97/1.58     = Y }.
% 0.97/1.58  { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ozero__class_Ozero( X ) = Y, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( X ) = c_Groups_Ouminus__class_Ouminus( X, Y
% 0.97/1.58     ) }.
% 0.97/1.58  { ! class_Groups_Olinordered__ab__group__add( X ), ! Y = 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( X, Y ), Y = c_Groups_Ozero__class_Ozero
% 0.97/1.58    ( X ) }.
% 0.97/1.58  { ! class_Groups_Olinordered__ab__group__add( X ), ! Y = 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ouminus__class_Ouminus( X
% 0.97/1.58    , Y ) }.
% 0.97/1.58  { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ouminus__class_Ouminus( X, Y
% 0.97/1.58     ) = c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X
% 0.97/1.58     ) }.
% 0.97/1.58  { ! class_Groups_Ogroup__add( X ), ! Y = c_Groups_Ozero__class_Ozero( X ), 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( X, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.97/1.58     ) }.
% 0.97/1.58  { ! class_Groups_Olinordered__ab__group__add( X ), ! 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( X, Y ) = Y, Y = 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.58  { ! class_Groups_Olinordered__ab__group__add( X ), ! Y = 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( X ), c_Groups_Ouminus__class_Ouminus( X, Y )
% 0.97/1.58     = Y }.
% 0.97/1.58  { ! class_Groups_Oordered__ab__group__add( X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ouminus__class_Ouminus
% 0.97/1.58    ( X, Y ) ), c_Orderings_Oord__class_Oless__eq( X, Y, 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( X, Z ) ) }.
% 0.97/1.58  { ! class_Groups_Oordered__ab__group__add( X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ouminus__class_Ouminus
% 0.97/1.58    ( X, Z ) ), c_Orderings_Oord__class_Oless__eq( X, Z, 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.97/1.58  { ! class_Groups_Oordered__ab__group__add( X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.97/1.58    , Z ), Y ), c_Orderings_Oord__class_Oless__eq( X, 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( X, Y ), Z ) }.
% 0.97/1.58  { ! class_Groups_Oordered__ab__group__add( X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.97/1.58    , Y ), Z ), c_Orderings_Oord__class_Oless__eq( X, 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( X, Z ), Y ) }.
% 0.97/1.58  { ! class_Groups_Oordered__ab__group__add( X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.97/1.58    , Z ), c_Groups_Ouminus__class_Ouminus( X, Y ) ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.97/1.58  { ! class_Groups_Oordered__ab__group__add( X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( X, Y, Z ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.97/1.58    , Z ), c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.97/1.58  { ! class_Groups_Oordered__ab__group__add( X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.97/1.58    , Y ), c_Groups_Ouminus__class_Ouminus( X, Z ) ) }.
% 0.97/1.58  { ! class_Lattices_Oboolean__algebra( X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.97/1.58    , Y ), c_Groups_Ouminus__class_Ouminus( X, Z ) ) }.
% 0.97/1.58  { ! class_Lattices_Oboolean__algebra( X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.97/1.58    , Z ), c_Groups_Ouminus__class_Ouminus( X, Y ) ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.97/1.58  { ! class_Lattices_Oboolean__algebra( X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( X, Y, Z ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.97/1.58    , Z ), c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.97/1.58  { ! class_Groups_Oordered__ab__group__add( X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Z )
% 0.97/1.58    , c_Groups_Ouminus__class_Ouminus( X, Y ) ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.97/1.58  { ! class_Groups_Oordered__ab__group__add( X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless( X, Y, Z ), c_Orderings_Oord__class_Oless( 
% 0.97/1.58    X, c_Groups_Ouminus__class_Ouminus( X, Z ), 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.97/1.58  { ! class_Groups_Oordered__ab__group__add( X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Z )
% 0.97/1.58    , Y ), c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus
% 0.97/1.58    ( X, Y ), Z ) }.
% 0.97/1.58  { ! class_Groups_Oordered__ab__group__add( X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Y )
% 0.97/1.58    , Z ), c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus
% 0.97/1.58    ( X, Z ), Y ) }.
% 0.97/1.58  { ! class_Groups_Oordered__ab__group__add( X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ouminus__class_Ouminus( X, 
% 0.97/1.58    Y ) ), c_Orderings_Oord__class_Oless( X, Y, 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( X, Z ) ) }.
% 0.97/1.58  { ! class_Groups_Oordered__ab__group__add( X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ouminus__class_Ouminus( X, 
% 0.97/1.58    Z ) ), c_Orderings_Oord__class_Oless( X, Z, 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.97/1.58  { ! class_Rings_Oidom( X ), ! hAPP( c_Groups_Otimes__class_Otimes( X, Z ), 
% 0.97/1.58    Z ) = hAPP( c_Groups_Otimes__class_Otimes( X, Y ), Y ), Z = Y, Z = 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( X, Y ) }.
% 0.97/1.58  { ! class_Rings_Oidom( X ), ! Z = Y, hAPP( c_Groups_Otimes__class_Otimes( X
% 0.97/1.58    , Z ), Z ) = hAPP( c_Groups_Otimes__class_Otimes( X, Y ), Y ) }.
% 0.97/1.58  { ! class_Rings_Oidom( X ), ! Z = c_Groups_Ouminus__class_Ouminus( X, Y ), 
% 0.97/1.58    hAPP( c_Groups_Otimes__class_Otimes( X, Z ), Z ) = hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( X, Y ), Y ) }.
% 0.97/1.58  { ! class_Rings_Oring( X ), hAPP( c_Groups_Otimes__class_Otimes( X, 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( X, Z ) ), 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( X, Y ) ) = hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( X, Z ), Y ) }.
% 0.97/1.58  { ! class_Rings_Oring( X ), hAPP( c_Groups_Otimes__class_Otimes( X, 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( X, Z ) ), Y ) = hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( X, Z ), c_Groups_Ouminus__class_Ouminus( X
% 0.97/1.58    , Y ) ) }.
% 0.97/1.58  { ! class_Rings_Oring( X ), c_Groups_Ouminus__class_Ouminus( X, hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( X, Z ), Y ) ) = hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( X, c_Groups_Ouminus__class_Ouminus( X, Z )
% 0.97/1.58     ), Y ) }.
% 0.97/1.58  { ! class_Rings_Oring( X ), c_Groups_Ouminus__class_Ouminus( X, hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( X, Z ), Y ) ) = hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( X, Z ), c_Groups_Ouminus__class_Ouminus( X
% 0.97/1.58    , Y ) ) }.
% 0.97/1.58  { ! class_RealVector_Oreal__normed__algebra( X ), hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( X, c_Groups_Ouminus__class_Ouminus( X, Z )
% 0.97/1.58     ), Y ) = c_Groups_Ouminus__class_Ouminus( X, hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( X, Z ), Y ) ) }.
% 0.97/1.58  { ! class_RealVector_Oreal__normed__algebra( X ), hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( X, c_Groups_Ouminus__class_Ouminus( X, Z )
% 0.97/1.58     ), Y ) = c_Groups_Ouminus__class_Ouminus( X, hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( X, Z ), Y ) ) }.
% 0.97/1.58  { ! class_RealVector_Oreal__normed__algebra( X ), hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( X, Z ), c_Groups_Ouminus__class_Ouminus( X
% 0.97/1.58    , Y ) ) = c_Groups_Ouminus__class_Ouminus( X, hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( X, Z ), Y ) ) }.
% 0.97/1.58  { ! class_RealVector_Oreal__normed__algebra( X ), hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( X, Z ), c_Groups_Ouminus__class_Ouminus( X
% 0.97/1.58    , Y ) ) = c_Groups_Ouminus__class_Ouminus( X, hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( X, Z ), Y ) ) }.
% 0.97/1.58  { ! class_Groups_Ogroup__add( X ), c_Groups_Oplus__class_Oplus( X, 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( X, Z ), c_Groups_Oplus__class_Oplus( X, 
% 0.97/1.58    Z, Y ) ) = Y }.
% 0.97/1.58  { ! class_Groups_Ogroup__add( X ), c_Groups_Oplus__class_Oplus( X, Z, 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( X, c_Groups_Ouminus__class_Ouminus( X, Z ), 
% 0.97/1.58    Y ) ) = Y }.
% 0.97/1.58  { ! class_Groups_Ogroup__add( X ), c_Groups_Ouminus__class_Ouminus( X, 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus( X
% 0.97/1.58    , c_Groups_Ouminus__class_Ouminus( X, Y ), 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( X, Z ) ) }.
% 0.97/1.58  { ! class_Groups_Oab__group__add( X ), c_Groups_Ouminus__class_Ouminus( X, 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus( X
% 0.97/1.58    , c_Groups_Ouminus__class_Ouminus( X, Z ), 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.97/1.58  { ! class_Rings_Odivision__ring( X ), c_Groups_Ouminus__class_Ouminus( X, 
% 0.97/1.58    c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) = 
% 0.97/1.58    c_Rings_Oinverse__class_Odivide( X, c_Groups_Ouminus__class_Ouminus( X, Z
% 0.97/1.58     ), Y ) }.
% 0.97/1.58  { ! class_Fields_Ofield__inverse__zero( X ), 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( X, c_Rings_Oinverse__class_Odivide( X, Z
% 0.97/1.58    , Y ) ) = c_Rings_Oinverse__class_Odivide( X, Z, 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.97/1.58  { ! class_Fields_Ofield__inverse__zero( X ), 
% 0.97/1.58    c_Rings_Oinverse__class_Odivide( X, c_Groups_Ouminus__class_Ouminus( X, Z
% 0.97/1.58     ), c_Groups_Ouminus__class_Ouminus( X, Y ) ) = 
% 0.97/1.58    c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.97/1.58  { ! class_RealVector_Oreal__normed__field( X ), 
% 0.97/1.58    c_Rings_Oinverse__class_Odivide( X, c_Groups_Ouminus__class_Ouminus( X, Z
% 0.97/1.58     ), Y ) = c_Groups_Ouminus__class_Ouminus( X, 
% 0.97/1.58    c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.97/1.58  { ! class_Rings_Odivision__ring__inverse__zero( X ), 
% 0.97/1.58    c_Rings_Oinverse__class_Oinverse( X, c_Groups_Ouminus__class_Ouminus( X, 
% 0.97/1.58    Y ) ) = c_Groups_Ouminus__class_Ouminus( X, 
% 0.97/1.58    c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 0.97/1.58  { ! class_Lattices_Oboolean__algebra( X ), c_Groups_Ouminus__class_Ouminus
% 0.97/1.58    ( X, c_Groups_Ouminus__class_Ouminus( X, Y ) ) = Y }.
% 0.97/1.58  { ! class_Groups_Ouminus( X ), hAPP( c_Groups_Ouminus__class_Ouminus( 
% 0.97/1.58    tc_fun( T, X ), Z ), Y ) = c_Groups_Ouminus__class_Ouminus( X, hAPP( Z, Y
% 0.97/1.58     ) ) }.
% 0.97/1.58  { ! class_Lattices_Oboolean__algebra( X ), ! 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( X, Z ) = c_Groups_Ouminus__class_Ouminus
% 0.97/1.58    ( X, Y ), Z = Y }.
% 0.97/1.58  { ! class_Lattices_Oboolean__algebra( X ), ! Z = Y, 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( X, Z ) = c_Groups_Ouminus__class_Ouminus
% 0.97/1.58    ( X, Y ) }.
% 0.97/1.58  { ! class_Groups_Ogroup__add( X ), c_Groups_Ouminus__class_Ouminus( X, 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( X, Y ) ) = Y }.
% 0.97/1.58  { ! class_Groups_Ogroup__add( X ), ! Z = c_Groups_Ouminus__class_Ouminus( X
% 0.97/1.58    , Y ), Y = c_Groups_Ouminus__class_Ouminus( X, Z ) }.
% 0.97/1.58  { ! class_Groups_Ogroup__add( X ), ! Y = c_Groups_Ouminus__class_Ouminus( X
% 0.97/1.58    , Z ), Z = c_Groups_Ouminus__class_Ouminus( X, Y ) }.
% 0.97/1.58  { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ouminus__class_Ouminus( X, Z
% 0.97/1.58     ) = Y, c_Groups_Ouminus__class_Ouminus( X, Y ) = Z }.
% 0.97/1.58  { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ouminus__class_Ouminus( X, Y
% 0.97/1.58     ) = Z, c_Groups_Ouminus__class_Ouminus( X, Z ) = Y }.
% 0.97/1.58  { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ouminus__class_Ouminus( X, Z
% 0.97/1.58     ) = c_Groups_Ouminus__class_Ouminus( X, Y ), Z = Y }.
% 0.97/1.58  { ! class_Groups_Ogroup__add( X ), ! Z = Y, c_Groups_Ouminus__class_Ouminus
% 0.97/1.58    ( X, Z ) = c_Groups_Ouminus__class_Ouminus( X, Y ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, hAPP( 
% 0.97/1.58    c_Transcendental_Oexp( tc_RealDef_Oreal ), Y ), hAPP( 
% 0.97/1.58    c_Transcendental_Oexp( tc_RealDef_Oreal ), X ) ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, hAPP( 
% 0.97/1.58    c_Transcendental_Oexp( tc_RealDef_Oreal ), Y ), hAPP( 
% 0.97/1.58    c_Transcendental_Oexp( tc_RealDef_Oreal ), X ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, hAPP( 
% 0.97/1.58    c_Transcendental_Oexp( tc_RealDef_Oreal ), Y ), hAPP( 
% 0.97/1.58    c_Transcendental_Oexp( tc_RealDef_Oreal ), X ) ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, Y ), Y = X }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, Z ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, Z ) }.
% 0.97/1.58  { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, Y ) }.
% 0.97/1.58  { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, X ) }.
% 0.97/1.58  { hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint, 
% 0.97/1.58    c_Groups_Oone__class_Oone( tc_Int_Oint ) ), X ) = X }.
% 0.97/1.58  { hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint, X ), 
% 0.97/1.58    c_Groups_Oone__class_Oone( tc_Int_Oint ) ) = X }.
% 0.97/1.58  { hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint, hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z ), Y ) ), X ) = hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z ), hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y ), X ) ) }.
% 0.97/1.58  { hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y ), X ) = hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Int_Oint, X ), Y ) }.
% 0.97/1.58  { c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), Y = X, 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Int_Oint, X, Y ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero( 
% 0.97/1.58    tc_Int_Oint ), Z ), c_Orderings_Oord__class_Oless( tc_Int_Oint, hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z ), Y ), hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z ), X ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.97/1.58    ( tc_Int_Oint ), X ), ! hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint
% 0.97/1.58    , X ), Y ) = c_Groups_Oone__class_Oone( tc_Int_Oint ), X = 
% 0.97/1.58    c_Groups_Oone__class_Oone( tc_Int_Oint ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.97/1.58    ( tc_Int_Oint ), X ), ! hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint
% 0.97/1.58    , X ), Y ) = c_Groups_Oone__class_Oone( tc_Int_Oint ), Y = 
% 0.97/1.58    c_Groups_Oone__class_Oone( tc_Int_Oint ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.97/1.58    ( tc_Int_Oint ), X ), ! X = c_Groups_Oone__class_Oone( tc_Int_Oint ), ! Y
% 0.97/1.58     = c_Groups_Oone__class_Oone( tc_Int_Oint ), hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Int_Oint, X ), Y ) = 
% 0.97/1.58    c_Groups_Oone__class_Oone( tc_Int_Oint ) }.
% 0.97/1.58  { c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero( 
% 0.97/1.58    tc_Int_Oint ), c_Groups_Oone__class_Oone( tc_Int_Oint ) ) }.
% 0.97/1.58  { ! c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Oplus__class_Oplus( 
% 0.97/1.58    tc_Int_Oint, c_Groups_Oone__class_Oone( tc_Int_Oint ), X ), X ) = 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.97/1.58  { c_Int_Osucc( X ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, 
% 0.97/1.58    c_Groups_Oone__class_Oone( tc_Int_Oint ) ) }.
% 0.97/1.58  { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Ozero__class_Ozero( 
% 0.97/1.58    tc_Int_Oint ), X ) = X }.
% 0.97/1.58  { c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Ozero__class_Ozero
% 0.97/1.58    ( tc_Int_Oint ) ) = X }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone( 
% 0.97/1.58    tc_Int_Oint ) ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), Y 
% 0.97/1.58    = X }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone( 
% 0.97/1.58    tc_Int_Oint ) ) ) }.
% 0.97/1.58  { ! Y = X, c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone( 
% 0.97/1.58    tc_Int_Oint ) ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus
% 0.97/1.58    ( tc_Int_Oint, c_Groups_Oplus__class_Oplus( tc_Int_Oint, 
% 0.97/1.58    c_Groups_Oone__class_Oone( tc_Int_Oint ), X ), X ), 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Int_Oint, X, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus( 
% 0.97/1.58    tc_Int_Oint, c_Groups_Oplus__class_Oplus( tc_Int_Oint, 
% 0.97/1.58    c_Groups_Oone__class_Oone( tc_Int_Oint ), X ), X ), 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus( 
% 0.97/1.58    tc_Int_Oint, Y, Z ), c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, Z ) ) }
% 0.97/1.58    .
% 0.97/1.58  { c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) = 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, Y ) }.
% 0.97/1.58  { c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, c_Groups_Oplus__class_Oplus
% 0.97/1.58    ( tc_Int_Oint, Y, X ) ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, X ) ) }.
% 0.97/1.58  { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Oplus__class_Oplus( 
% 0.97/1.58    tc_Int_Oint, Z, Y ), X ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }.
% 0.97/1.58  { hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint, 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, Y ) ), X ) = 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Int_Oint, hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z ), X ), hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y ), X ) ) }.
% 0.97/1.58  { hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z ), 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) = 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Int_Oint, hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z ), Y ), hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z ), X ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, 
% 0.97/1.58    c_Groups_Oone__class_Oone( tc_Int_Oint ), X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero( 
% 0.97/1.58    tc_Int_Oint ), X ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.97/1.58    ( tc_Int_Oint ), X ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, 
% 0.97/1.58    c_Groups_Oone__class_Oone( tc_Int_Oint ), X ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone( 
% 0.97/1.58    tc_Int_Oint ) ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X )
% 0.97/1.58     }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone( 
% 0.97/1.58    tc_Int_Oint ) ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, c_Groups_Oone__class_Oone( 
% 0.97/1.58    tc_Int_Oint ) ), X ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X )
% 0.97/1.58     }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, c_Groups_Oone__class_Oone( 
% 0.97/1.58    tc_Int_Oint ) ), X ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero( 
% 0.97/1.58    tc_Int_Oint ), c_Groups_Oplus__class_Oplus( tc_Int_Oint, 
% 0.97/1.58    c_Groups_Oone__class_Oone( tc_Int_Oint ), X ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, c_Groups_Oone__class_Oone( 
% 0.97/1.58    tc_Int_Oint ) ), X ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, T, Z ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus( 
% 0.97/1.58    tc_Int_Oint, Y, T ), c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, Z ) ) }
% 0.97/1.58    .
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), ! Y = X }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), Y = X, 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, Y ), 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, X ) ) }.
% 0.97/1.58  { hAPP( c_Transcendental_Oln, hAPP( c_Transcendental_Oexp( tc_RealDef_Oreal
% 0.97/1.58     ), X ) ) = X }.
% 0.97/1.58  { ! hAPP( c_Transcendental_Oexp( tc_RealDef_Oreal ), Y ) = X, hAPP( 
% 0.97/1.58    c_Transcendental_Oln, X ) = Y }.
% 0.97/1.58  { ! hAPP( c_Transcendental_Oexp( tc_RealDef_Oreal ), Y ) = X, hAPP( 
% 0.97/1.58    c_Transcendental_Oln, X ) = Y }.
% 0.97/1.58  { ! class_RealVector_Oreal__normed__field( X ), ! class_SEQ_Obanach( X ), !
% 0.97/1.58     hAPP( c_Transcendental_Oexp( X ), Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.58     }.
% 0.97/1.58  { ! class_RealVector_Oreal__normed__field( X ), ! class_SEQ_Obanach( X ), 
% 0.97/1.58    c_Deriv_Oderiv( X, c_Transcendental_Oexp( X ), Y, hAPP( 
% 0.97/1.58    c_Transcendental_Oexp( X ), Y ) ) }.
% 0.97/1.58  { ! class_Groups_Olinordered__ab__group__add( X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.97/1.58    , Y ), Y ), c_Orderings_Oord__class_Oless__eq( X, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.97/1.58  { ! class_Groups_Olinordered__ab__group__add( X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.58     ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus
% 0.97/1.58    ( X, Y ), Y ) }.
% 0.97/1.58  { ! class_Groups_Oordered__ab__group__add( X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.97/1.58    , Y ), c_Groups_Ozero__class_Ozero( X ) ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.58     ) }.
% 0.97/1.58  { ! class_Groups_Oordered__ab__group__add( X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.58     ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus
% 0.97/1.58    ( X, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.58  { ! class_Groups_Olinordered__ab__group__add( X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ouminus__class_Ouminus
% 0.97/1.58    ( X, Y ) ), c_Orderings_Oord__class_Oless__eq( X, Y, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.58  { ! class_Groups_Olinordered__ab__group__add( X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.58     ), c_Orderings_Oord__class_Oless__eq( X, Y, 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.97/1.58  { ! class_Groups_Oordered__ab__group__add( X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( X, Y ) ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.58     ) }.
% 0.97/1.58  { ! class_Groups_Oordered__ab__group__add( X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.58     ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.97/1.58     ), c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.97/1.58  { ! class_Groups_Olinordered__ab__group__add( X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Y )
% 0.97/1.58    , Y ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.58    , Y ) }.
% 0.97/1.58  { ! class_Groups_Olinordered__ab__group__add( X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Y )
% 0.97/1.58    , Y ) }.
% 0.97/1.58  { ! class_Groups_Oordered__ab__group__add( X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Y )
% 0.97/1.58    , c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.97/1.58  { ! class_Groups_Oordered__ab__group__add( X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Y )
% 0.97/1.58    , c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.58  { ! class_Groups_Oordered__ab__group__add( X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( X, Y ) ), c_Orderings_Oord__class_Oless
% 0.97/1.58    ( X, Y, c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.58  { ! class_Groups_Oordered__ab__group__add( X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.97/1.58  { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.97/1.58    , Y, c_Groups_Ouminus__class_Ouminus( X, Y ) ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ) }
% 0.97/1.58    .
% 0.97/1.58  { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.97/1.58    , Y, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 0.97/1.58    , Y, c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.97/1.58  { ! class_Groups_Ogroup__add( X ), ! c_Groups_Oplus__class_Oplus( X, Z, Y )
% 0.97/1.58     = c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ouminus__class_Ouminus
% 0.97/1.58    ( X, Z ) }.
% 0.97/1.58  { ! class_Groups_Ogroup__add( X ), ! Y = c_Groups_Ouminus__class_Ouminus( X
% 0.97/1.58    , Z ), c_Groups_Oplus__class_Oplus( X, Z, Y ) = 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.58  { ! class_Groups_Ogroup__add( X ), c_Groups_Oplus__class_Oplus( X, Y, 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( X, Y ) ) = c_Groups_Ozero__class_Ozero( 
% 0.97/1.58    X ) }.
% 0.97/1.58  { ! class_Groups_Ogroup__add( X ), ! Z = c_Groups_Ouminus__class_Ouminus( X
% 0.97/1.58    , Y ), c_Groups_Oplus__class_Oplus( X, Z, Y ) = 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.58  { ! class_Groups_Ogroup__add( X ), ! c_Groups_Oplus__class_Oplus( X, Z, Y )
% 0.97/1.58     = c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ouminus__class_Ouminus
% 0.97/1.58    ( X, Y ) }.
% 0.97/1.58  { ! class_Groups_Ogroup__add( X ), c_Groups_Oplus__class_Oplus( X, 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( X, Y ), Y ) = 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.58  { ! class_Groups_Oab__group__add( X ), c_Groups_Oplus__class_Oplus( X, 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( X, Y ), Y ) = 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.58  { ! class_Groups_Ogroup__add( X ), ! c_Groups_Oplus__class_Oplus( X, Z, Y )
% 0.97/1.58     = c_Groups_Ozero__class_Ozero( X ), c_Groups_Ouminus__class_Ouminus( X, 
% 0.97/1.58    Z ) = Y }.
% 0.97/1.58  { ! class_Rings_Ocomm__ring__1( X ), c_Groups_Ouminus__class_Ouminus( X, Y
% 0.97/1.58     ) = hAPP( c_Groups_Otimes__class_Otimes( X, 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( X, c_Groups_Oone__class_Oone( X ) ) ), Y
% 0.97/1.58     ) }.
% 0.97/1.58  { ! class_Rings_Oring__1__no__zero__divisors( X ), ! hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( X, Y ), Y ) = c_Groups_Oone__class_Oone( X
% 0.97/1.58     ), Y = c_Groups_Oone__class_Oone( X ), Y = 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( X, c_Groups_Oone__class_Oone( X ) ) }.
% 0.97/1.58  { ! class_Rings_Oring__1__no__zero__divisors( X ), ! Y = 
% 0.97/1.58    c_Groups_Oone__class_Oone( X ), hAPP( c_Groups_Otimes__class_Otimes( X, Y
% 0.97/1.58     ), Y ) = c_Groups_Oone__class_Oone( X ) }.
% 0.97/1.58  { ! class_Rings_Oring__1__no__zero__divisors( X ), ! Y = 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( X, c_Groups_Oone__class_Oone( X ) ), 
% 0.97/1.58    hAPP( c_Groups_Otimes__class_Otimes( X, Y ), Y ) = 
% 0.97/1.58    c_Groups_Oone__class_Oone( X ) }.
% 0.97/1.58  { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.58    , c_Rings_Oinverse__class_Odivide( X, c_Groups_Ouminus__class_Ouminus( X
% 0.97/1.58    , Z ), c_Groups_Ouminus__class_Ouminus( X, Y ) ) = 
% 0.97/1.58    c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.97/1.58  { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.58    , c_Groups_Ouminus__class_Ouminus( X, c_Rings_Oinverse__class_Odivide( X
% 0.97/1.58    , Z, Y ) ) = c_Rings_Oinverse__class_Odivide( X, Z, 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.97/1.58  { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.58    , c_Rings_Oinverse__class_Oinverse( X, c_Groups_Ouminus__class_Ouminus( X
% 0.97/1.58    , Y ) ) = c_Groups_Ouminus__class_Ouminus( X, 
% 0.97/1.58    c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 0.97/1.58  { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y ), Y ) ), hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X ), X ) ) }.
% 0.97/1.58  { ! c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ) = 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X = 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) }.
% 0.97/1.58  { ! X = c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ), 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ) = 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.97/1.58  { ! c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) ) = 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y = X }.
% 0.97/1.58  { ! Y = X, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) ) = 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.97/1.58  { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), hAPP( 
% 0.97/1.58    c_Transcendental_Oexp( tc_RealDef_Oreal ), X ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, hAPP( 
% 0.97/1.58    c_Transcendental_Oexp( tc_RealDef_Oreal ), X ), 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.97/1.58  { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), hAPP( 
% 0.97/1.58    c_Transcendental_Oexp( tc_RealDef_Oreal ), X ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, hAPP( 
% 0.97/1.58    c_Transcendental_Oexp( tc_RealDef_Oreal ), X ), 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.97/1.58  { ! hAPP( c_Transcendental_Oexp( tc_RealDef_Oreal ), X ) = 
% 0.97/1.58    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X = 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.97/1.58  { ! X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), hAPP( 
% 0.97/1.58    c_Transcendental_Oexp( tc_RealDef_Oreal ), X ) = 
% 0.97/1.58    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.97/1.58  { ! class_RealVector_Oreal__normed__field( X ), ! class_SEQ_Obanach( X ), 
% 0.97/1.58    hAPP( c_Transcendental_Oexp( X ), c_Groups_Ozero__class_Ozero( X ) ) = 
% 0.97/1.58    c_Groups_Oone__class_Oone( X ) }.
% 0.97/1.58  { ! class_RealVector_Oreal__normed__field( X ), ! class_SEQ_Obanach( X ), 
% 0.97/1.58    hAPP( c_Transcendental_Oexp( X ), c_Groups_Oplus__class_Oplus( X, Z, Y )
% 0.97/1.58     ) = hAPP( c_Groups_Otimes__class_Otimes( X, hAPP( c_Transcendental_Oexp
% 0.97/1.58    ( X ), Z ) ), hAPP( c_Transcendental_Oexp( X ), Y ) ) }.
% 0.97/1.58  { ! class_RealVector_Oreal__normed__field( X ), ! class_SEQ_Obanach( X ), 
% 0.97/1.58    hAPP( c_Groups_Otimes__class_Otimes( X, hAPP( c_Transcendental_Oexp( X )
% 0.97/1.58    , Z ) ), hAPP( c_Transcendental_Oexp( X ), Y ) ) = hAPP( 
% 0.97/1.58    c_Transcendental_Oexp( X ), c_Groups_Oplus__class_Oplus( X, Z, Y ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ), 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ), 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ) ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ), X ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ), X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ), 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ), 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ) ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ), X ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ), X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, hAPP( 
% 0.97/1.58    c_Transcendental_Oexp( tc_RealDef_Oreal ), X ), c_Groups_Oone__class_Oone
% 0.97/1.58    ( tc_RealDef_Oreal ) ), c_Orderings_Oord__class_Oless__eq( 
% 0.97/1.58    tc_RealDef_Oreal, X, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }
% 0.97/1.58    .
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, hAPP( 
% 0.97/1.58    c_Transcendental_Oexp( tc_RealDef_Oreal ), X ), c_Groups_Oone__class_Oone
% 0.97/1.58    ( tc_RealDef_Oreal ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), hAPP( 
% 0.97/1.58    c_Transcendental_Oexp( tc_RealDef_Oreal ), X ) ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), hAPP( 
% 0.97/1.58    c_Transcendental_Oexp( tc_RealDef_Oreal ), X ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), hAPP( 
% 0.97/1.58    c_Transcendental_Oexp( tc_RealDef_Oreal ), X ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, hAPP( 
% 0.97/1.58    c_Transcendental_Oexp( tc_RealDef_Oreal ), X ), c_Groups_Oone__class_Oone
% 0.97/1.58    ( tc_RealDef_Oreal ) ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.58    X, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, hAPP( 
% 0.97/1.58    c_Transcendental_Oexp( tc_RealDef_Oreal ), X ), c_Groups_Oone__class_Oone
% 0.97/1.58    ( tc_RealDef_Oreal ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), hAPP( 
% 0.97/1.58    c_Transcendental_Oexp( tc_RealDef_Oreal ), X ) ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), hAPP( 
% 0.97/1.58    c_Transcendental_Oexp( tc_RealDef_Oreal ), X ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), hAPP( 
% 0.97/1.58    c_Transcendental_Oexp( tc_RealDef_Oreal ), hAPP( c_Transcendental_Oln, X
% 0.97/1.58     ) ) = X }.
% 0.97/1.58  { ! hAPP( c_Transcendental_Oexp( tc_RealDef_Oreal ), hAPP( 
% 0.97/1.58    c_Transcendental_Oln, X ) ) = X, c_Orderings_Oord__class_Oless( 
% 0.97/1.58    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ) }
% 0.97/1.58    .
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), hAPP( 
% 0.97/1.58    c_Transcendental_Oexp( tc_RealDef_Oreal ), hAPP( c_Transcendental_Oln, X
% 0.97/1.58     ) ) = X }.
% 0.97/1.58  { ! class_RealVector_Oreal__normed__field( X ), ! c_Deriv_Oderiv( X, T, Z, 
% 0.97/1.58    Y ), ! c_Deriv_Oderiv( X, T, Z, U ), Y = U }.
% 0.97/1.58  { ! class_RealVector_Oreal__normed__field( X ), ! c_Deriv_Oderiv( X, T, Z, 
% 0.97/1.58    Y ), ! Y = U, c_Deriv_Oderiv( X, T, Z, U ) }.
% 0.97/1.58  { ! class_RealVector_Oreal__normed__field( X ), ! c_Deriv_Oderiv( X, T, Z, 
% 0.97/1.58    Y ), ! Y = U, c_Deriv_Oderiv( X, T, Z, U ) }.
% 0.97/1.58  { ! class_Groups_Osgn__if( X ), ! Y = c_Groups_Ozero__class_Ozero( X ), 
% 0.97/1.58    c_Groups_Osgn__class_Osgn( X, Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.58  { ! class_Groups_Osgn__if( X ), Y = c_Groups_Ozero__class_Ozero( X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ), 
% 0.97/1.58    c_Groups_Osgn__class_Osgn( X, Y ) = c_Groups_Oone__class_Oone( X ) }.
% 0.97/1.58  { ! class_Groups_Osgn__if( X ), Y = c_Groups_Ozero__class_Ozero( X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ), 
% 0.97/1.58    c_Groups_Osgn__class_Osgn( X, Y ) = c_Groups_Ouminus__class_Ouminus( X, 
% 0.97/1.58    c_Groups_Oone__class_Oone( X ) ) }.
% 0.97/1.58  { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.97/1.58    , Y, c_Groups_Ozero__class_Ozero( X ) ), c_Groups_Osgn__class_Osgn( X, Y
% 0.97/1.58     ) = c_Groups_Ouminus__class_Ouminus( X, c_Groups_Oone__class_Oone( X ) )
% 0.97/1.58     }.
% 0.97/1.58  { ! class_Rings_Olinordered__idom( X ), ! c_Groups_Osgn__class_Osgn( X, Y )
% 0.97/1.58     = c_Groups_Ouminus__class_Ouminus( X, c_Groups_Oone__class_Oone( X ) ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ) }
% 0.97/1.58    .
% 0.97/1.58  { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.97/1.58    , Y, c_Groups_Ozero__class_Ozero( X ) ), c_Groups_Osgn__class_Osgn( X, Y
% 0.97/1.58     ) = c_Groups_Ouminus__class_Ouminus( X, c_Groups_Oone__class_Oone( X ) )
% 0.97/1.58     }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), hAPP( 
% 0.97/1.58    c_Transcendental_Oln, c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal
% 0.97/1.58    , X ) ) = c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, hAPP( 
% 0.97/1.58    c_Transcendental_Oln, X ) ) }.
% 0.97/1.58  { ! c_Groups_Oplus__class_Oplus( tc_Int_Oint, hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Int_Oint, W ), U ), T ) = 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Int_Oint, hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z ), Y ), X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus( 
% 0.97/1.58    tc_Int_Oint, hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z ), Y ), 
% 0.97/1.58    X ), c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Int_Oint, T, W ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero( 
% 0.97/1.58    tc_Int_Oint ), Z ), ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Z, 
% 0.97/1.58    W ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, U ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Int_Oint, hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Int_Oint, U ), T ), Z ), 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Int_Oint, hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Int_Oint, U ), Y ), X ) ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Int_Oint, U, X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Int_Oint, U, Z ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, T ) }.
% 0.97/1.58  { ! c_Groups_Oplus__class_Oplus( tc_Int_Oint, hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Int_Oint, W ), U ), T ) = 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Int_Oint, hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z ), Y ), X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Oplus__class_Oplus( 
% 0.97/1.58    tc_Int_Oint, hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z ), Y ), 
% 0.97/1.58    X ) ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X, Z ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Int_Oint ), T ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero( 
% 0.97/1.58    tc_Int_Oint ), Z ), ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Z, 
% 0.97/1.58    W ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, U, Y ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Int_Oint, hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Int_Oint, U ), T ), Z ), 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Int_Oint, hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Int_Oint, U ), Y ), X ) ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Z ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, U ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Int_Oint, X, U ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, T, Y ) }.
% 0.97/1.58  { c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) = 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Int_Oint, 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) }.
% 0.97/1.58  { c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.97/1.58    ( tc_Int_Oint ) ) = c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.97/1.58  { c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) = X }.
% 0.97/1.58  { hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint, 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y ) ), X ) = 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y ), X ) ) }.
% 0.97/1.58  { ! X = c_Groups_Ozero__class_Ozero( tc_Int_Oint ), 
% 0.97/1.58    c_Groups_Osgn__class_Osgn( tc_Int_Oint, X ) = c_Groups_Ozero__class_Ozero
% 0.97/1.58    ( tc_Int_Oint ) }.
% 0.97/1.58  { X = c_Groups_Ozero__class_Ozero( tc_Int_Oint ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero( 
% 0.97/1.58    tc_Int_Oint ), X ), c_Groups_Osgn__class_Osgn( tc_Int_Oint, X ) = 
% 0.97/1.58    c_Groups_Oone__class_Oone( tc_Int_Oint ) }.
% 0.97/1.58  { X = c_Groups_Ozero__class_Ozero( tc_Int_Oint ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero( 
% 0.97/1.58    tc_Int_Oint ), X ), c_Groups_Osgn__class_Osgn( tc_Int_Oint, X ) = 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Groups_Oone__class_Oone( 
% 0.97/1.58    tc_Int_Oint ) ) }.
% 0.97/1.58  { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Ouminus__class_Ouminus
% 0.97/1.58    ( tc_Int_Oint, X ), X ) = c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.97/1.58  { c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Groups_Oplus__class_Oplus
% 0.97/1.58    ( tc_Int_Oint, Y, X ) ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint, 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y ), 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) }.
% 0.97/1.58  { ! c_Groups_Ozero__class_Ozero( tc_Int_Oint ) = c_Groups_Oone__class_Oone
% 0.97/1.58    ( tc_Int_Oint ) }.
% 0.97/1.58  { c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) = X }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.97/1.58    ( tc_Int_Oint ), X ), ! X = c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, 
% 0.97/1.58    hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint, X ), Y ) ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Z ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, 
% 0.97/1.58    c_Groups_Oone__class_Oone( tc_Int_Oint ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.97/1.58    ( tc_Int_Oint ), X ), ! X = c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, 
% 0.97/1.58    hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint, X ), Y ) ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Groups_Oone__class_Oone
% 0.97/1.58    ( tc_Int_Oint ), Y ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Oplus__class_Oplus( 
% 0.97/1.58    tc_Int_Oint, hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z ), Y ), 
% 0.97/1.58    X ) ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X, Z ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero( 
% 0.97/1.58    tc_Int_Oint ), Z ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus
% 0.97/1.58    ( tc_Int_Oint, hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z ), Y )
% 0.97/1.58    , X ), c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero( 
% 0.97/1.58    tc_Int_Oint ), Z ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Int_Oint ), hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Int_Oint, X ), Y ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Oplus__class_Oplus( 
% 0.97/1.58    tc_Int_Oint, X, Y ) ) }.
% 0.97/1.58  { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Oone__class_Oone( 
% 0.97/1.58    tc_Int_Oint ) ) }.
% 0.97/1.58  { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Ozero__class_Ozero( 
% 0.97/1.58    tc_Int_Oint ) ) }.
% 0.97/1.58  { ! class_Int_Onumber__ring( X ), ! c_Int_Onumber__class_Onumber__of( X, Z
% 0.97/1.58     ) = c_Int_Onumber__class_Onumber__of( X, Y ), c_Int_Oiszero( X, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus( 
% 0.97/1.58    tc_Int_Oint, Z, c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y ) ) ) ) }
% 0.97/1.58    .
% 0.97/1.58  { ! class_Int_Onumber__ring( X ), ! c_Int_Oiszero( X, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus( 
% 0.97/1.58    tc_Int_Oint, Z, c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y ) ) ) ), 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( X, Z ) = 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( X, Y ) }.
% 0.97/1.58  { ! c_Deriv_Oderiv( tc_RealDef_Oreal, Z, Y, X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol7( T, U ) ) }.
% 0.97/1.58  { ! c_Deriv_Oderiv( tc_RealDef_Oreal, Z, Y, X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), T ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, T, skol7( Y, Z ) ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, hAPP( Z, Y ), hAPP( Z, 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, T ) ) ) }.
% 0.97/1.58  { ! c_Deriv_Oderiv( tc_RealDef_Oreal, Z, Y, X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol8( T, U ) ) }.
% 0.97/1.58  { ! c_Deriv_Oderiv( tc_RealDef_Oreal, Z, Y, X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), T ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, T, skol8( Y, Z ) ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, hAPP( Z, 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, T ) ), hAPP( Z, Y ) ) }
% 0.97/1.58    .
% 0.97/1.58  { ! class_Rings_Osemiring__1( X ), ! c_Int_Oiszero( X, Y ), Y = 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.58  { ! class_Rings_Osemiring__1( X ), ! Y = c_Groups_Ozero__class_Ozero( X ), 
% 0.97/1.58    c_Int_Oiszero( X, Y ) }.
% 0.97/1.58  { ! class_Rings_Osemiring__1( X ), c_Int_Oiszero( X, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.58  { ! class_Rings_Osemiring__1( X ), ! c_Int_Oiszero( X, 
% 0.97/1.58    c_Groups_Oone__class_Oone( X ) ) }.
% 0.97/1.58  { ! class_Int_Onumber__ring( X ), ! c_Int_Onumber__class_Onumber__of( X, Y
% 0.97/1.58     ) = c_Groups_Ozero__class_Ozero( X ), c_Int_Oiszero( X, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus( 
% 0.97/1.58    tc_Int_Oint, Y, c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Int_OPls
% 0.97/1.58     ) ) ) ) }.
% 0.97/1.58  { ! class_Int_Onumber__ring( X ), ! c_Int_Oiszero( X, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus( 
% 0.97/1.58    tc_Int_Oint, Y, c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Int_OPls
% 0.97/1.58     ) ) ) ), c_Int_Onumber__class_Onumber__of( X, Y ) = 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.58  { ! class_Int_Onumber__ring( X ), ! c_Groups_Ozero__class_Ozero( X ) = 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( X, Y ), c_Int_Oiszero( X, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus( 
% 0.97/1.58    tc_Int_Oint, c_Int_OPls, c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y
% 0.97/1.58     ) ) ) ) }.
% 0.97/1.58  { ! class_Int_Onumber__ring( X ), ! c_Int_Oiszero( X, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus( 
% 0.97/1.58    tc_Int_Oint, c_Int_OPls, c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y
% 0.97/1.58     ) ) ) ), c_Groups_Ozero__class_Ozero( X ) = 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( X, Y ) }.
% 0.97/1.58  { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X, 
% 0.97/1.58    c_Int_Opred( Y ) ) = c_Groups_Oplus__class_Oplus( X, 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( X, c_Groups_Oone__class_Oone( X ) ), 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ), 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ), alpha28( X, Y ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ), 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 0.97/1.58  { ! alpha28( X, Y ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Nat_Onat, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ), 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) }.
% 0.97/1.58  { ! alpha28( X, Y ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ) }.
% 0.97/1.58  { c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), alpha28( X, Y ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ), alpha28( X
% 0.97/1.58    , Y ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.58    ( tc_Nat_Onat ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( 
% 0.97/1.58    tc_Nat_Onat ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) }.
% 0.97/1.58  { ! c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) = 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ), 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) = 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) }.
% 0.97/1.58  { ! c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) = 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ), 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) = 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ), 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OPls ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ), 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OPls ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ), 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) }.
% 0.97/1.58  { c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Int_OPls ) = c_Int_OPls }
% 0.97/1.58    .
% 0.97/1.58  { c_Int_OPls = c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.97/1.58  { c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) = 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OPls ) }.
% 0.97/1.58  { c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OPls ) = 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.58  { c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Int_OPls ) = X }.
% 0.97/1.58  { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OPls, X ) = X }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, c_Int_OPls ) }
% 0.97/1.58    .
% 0.97/1.58  { hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Int_OPls ), X ) = 
% 0.97/1.58    c_Int_OPls }.
% 0.97/1.58  { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, c_Int_OPls )
% 0.97/1.58     }.
% 0.97/1.58  { c_Int_Osucc( c_Int_Opred( X ) ) = X }.
% 0.97/1.58  { ! class_Int_Onumber__ring( X ), c_Groups_Ozero__class_Ozero( X ) = 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( X, c_Int_OPls ) }.
% 0.97/1.58  { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X, 
% 0.97/1.58    c_Int_OPls ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.58  { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X, Y, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( X, c_Int_OPls ) ) = Y }.
% 0.97/1.58  { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( X, c_Int_OPls ), Y ) = Y }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.97/1.58  { c_Groups_Ozero__class_Ozero( tc_Int_Oint ) = 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OPls ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ), 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ), 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) = 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) }.
% 0.97/1.58  { c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ), 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ), 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) = 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ) }.
% 0.97/1.58  { c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ), 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ), 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) = 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, c_Int_OPls ), hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Z ) ), hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ) ), X ) ) = 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.58  { c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, c_Int_OPls ), hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Z ) ), hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ) ), X ) ) = hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z ), Y ) ) ), X ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ), hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ) ), 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) = 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.58  { c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ), hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ) ), 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) = 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y ), X ) ) }.
% 0.97/1.58  { ! class_Int_Onumber__ring( X ), c_Int_Oiszero( X, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( X, c_Int_OPls ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ), 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Oone__class_Oone( 
% 0.97/1.58    tc_Nat_Onat ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) = 
% 0.97/1.58    c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.97/1.58  { c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ), 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Oone__class_Oone( 
% 0.97/1.58    tc_Nat_Onat ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) = 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_Osucc( X ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ), 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ), 
% 0.97/1.58    c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) = c_Groups_Oone__class_Oone( 
% 0.97/1.58    tc_Nat_Onat ) }.
% 0.97/1.58  { c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ), 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ), 
% 0.97/1.58    c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) = 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_Osucc( X ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_Opred( Y ), X ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_Opred( Y ), X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ) }.
% 0.97/1.58  { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber__ring( X )
% 0.97/1.58    , c_Rings_Oinverse__class_Odivide( X, Y, c_Int_Onumber__class_Onumber__of
% 0.97/1.58    ( X, c_Int_OPls ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.58  { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( X, Y ) ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, Y ) }.
% 0.97/1.58  { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, Y ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.97/1.58  { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.97/1.58    , Y ), c_Groups_Ozero__class_Ozero( X ) ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OPls ) }.
% 0.97/1.58  { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OPls ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.97/1.58    , Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.58  { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( X, Y ) ), c_Orderings_Oord__class_Oless
% 0.97/1.58    ( tc_Int_Oint, c_Int_OPls, Y ) }.
% 0.97/1.58  { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, Y ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.97/1.58  { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.97/1.58     ), c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( 
% 0.97/1.58    tc_Int_Oint, Y, c_Int_OPls ) }.
% 0.97/1.58  { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.97/1.58     ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.58  { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Int_Oint ), 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OPls ) ) }.
% 0.97/1.58  { ! class_Int_Onumber__ring( X ), ! c_Int_Onumber__class_Onumber__of( X, Y
% 0.97/1.58     ) = c_Groups_Oone__class_Oone( X ), c_Int_Oiszero( X, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus( 
% 0.97/1.58    tc_Int_Oint, Y, c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Int_OBit1
% 0.97/1.58    ( c_Int_OPls ) ) ) ) ) }.
% 0.97/1.58  { ! class_Int_Onumber__ring( X ), ! c_Int_Oiszero( X, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus( 
% 0.97/1.58    tc_Int_Oint, Y, c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Int_OBit1
% 0.97/1.58    ( c_Int_OPls ) ) ) ) ), c_Int_Onumber__class_Onumber__of( X, Y ) = 
% 0.97/1.58    c_Groups_Oone__class_Oone( X ) }.
% 0.97/1.58  { ! class_Int_Onumber__ring( X ), ! c_Groups_Oone__class_Oone( X ) = 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( X, Y ), c_Int_Oiszero( X, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus( 
% 0.97/1.58    tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), c_Groups_Ouminus__class_Ouminus( 
% 0.97/1.58    tc_Int_Oint, Y ) ) ) ) }.
% 0.97/1.58  { ! class_Int_Onumber__ring( X ), ! c_Int_Oiszero( X, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus( 
% 0.97/1.58    tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), c_Groups_Ouminus__class_Ouminus( 
% 0.97/1.58    tc_Int_Oint, Y ) ) ) ), c_Groups_Oone__class_Oone( X ) = 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( X, Y ) }.
% 0.97/1.58  { c_Groups_Oone__class_Oone( tc_Nat_Onat ) = 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1( c_Int_OPls )
% 0.97/1.58     ) }.
% 0.97/1.58  { c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1( c_Int_OPls )
% 0.97/1.58     ) = c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.97/1.58  { ! c_Int_OPls = c_Int_OBit1( X ) }.
% 0.97/1.58  { ! c_Int_OBit1( X ) = c_Int_OPls }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ), 
% 0.97/1.58    c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.97/1.58     ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ), 
% 0.97/1.58    c_Int_OBit1( X ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ), 
% 0.97/1.58    c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.97/1.58     ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ), 
% 0.97/1.58    c_Int_OBit1( X ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ), 
% 0.97/1.58    c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.97/1.58    .
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit1
% 0.97/1.58    ( X ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ), 
% 0.97/1.58    c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.97/1.58    .
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit1
% 0.97/1.58    ( X ) ) }.
% 0.97/1.58  { ! c_Int_OBit1( Y ) = c_Int_OBit1( X ), Y = X }.
% 0.97/1.58  { ! Y = X, c_Int_OBit1( Y ) = c_Int_OBit1( X ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, c_Int_OBit1
% 0.97/1.58    ( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X )
% 0.97/1.58     }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, c_Int_OBit1( 
% 0.97/1.58    X ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( X ), 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Int_Oint, X, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( X ), 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( X ), 
% 0.97/1.58    c_Int_OPls ), c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls )
% 0.97/1.58     }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( X ), c_Int_OPls
% 0.97/1.58     ) }.
% 0.97/1.58  { c_Int_OBit1( X ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint, 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Oone__class_Oone( 
% 0.97/1.58    tc_Int_Oint ), X ), X ) }.
% 0.97/1.58  { c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Int_OBit1( X ) ) = 
% 0.97/1.58    c_Int_OBit1( c_Int_Opred( c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X
% 0.97/1.58     ) ) ) }.
% 0.97/1.58  { ! class_Int_Onumber__ring( X ), ! class_Int_Oring__char__0( X ), ! 
% 0.97/1.58    c_Int_Oiszero( X, c_Int_Onumber__class_Onumber__of( X, c_Int_OBit1( Y ) )
% 0.97/1.58     ) }.
% 0.97/1.58  { c_Int_Osucc( c_Int_OPls ) = c_Int_OBit1( c_Int_OPls ) }.
% 0.97/1.58  { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X, 
% 0.97/1.58    c_Int_OBit1( Y ) ) = c_Groups_Oplus__class_Oplus( X, 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ), 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( X, Y ) ), 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.97/1.58  { ! class_Int_Onumber__ring( X ), hAPP( c_Groups_Otimes__class_Otimes( X, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( X, c_Int_OBit1( c_Int_OPls ) ) ), Y ) =
% 0.97/1.58     Y }.
% 0.97/1.58  { ! class_Int_Onumber__ring( X ), hAPP( c_Groups_Otimes__class_Otimes( X, Y
% 0.97/1.58     ), c_Int_Onumber__class_Onumber__of( X, c_Int_OBit1( c_Int_OPls ) ) ) = 
% 0.97/1.58    Y }.
% 0.97/1.58  { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X, 
% 0.97/1.58    c_Int_OBit1( c_Int_OPls ) ) = c_Groups_Oone__class_Oone( X ) }.
% 0.97/1.58  { ! class_Int_Onumber__ring( X ), c_Groups_Oone__class_Oone( X ) = 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( X, c_Int_OBit1( c_Int_OPls ) ) }.
% 0.97/1.58  { ! class_Fields_Ofield( X ), ! class_Int_Onumber__ring( X ), 
% 0.97/1.58    c_Rings_Oinverse__class_Odivide( X, Y, c_Int_Onumber__class_Onumber__of( 
% 0.97/1.58    X, c_Int_OBit1( c_Int_OPls ) ) ) = Y }.
% 0.97/1.58  { ! class_Fields_Ofield( X ), ! class_Int_Onumber__ring( X ), 
% 0.97/1.58    c_Rings_Oinverse__class_Odivide( X, Y, c_Int_Onumber__class_Onumber__of( 
% 0.97/1.58    X, c_Int_OBit1( c_Int_OPls ) ) ) = Y }.
% 0.97/1.58  { ! class_Fields_Ofield( X ), ! class_Int_Onumber__ring( X ), 
% 0.97/1.58    c_Rings_Oinverse__class_Oinverse( X, c_Int_Onumber__class_Onumber__of( X
% 0.97/1.58    , c_Int_OBit1( c_Int_OPls ) ) ) = c_Int_Onumber__class_Onumber__of( X, 
% 0.97/1.58    c_Int_OBit1( c_Int_OPls ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( X ), 
% 0.97/1.58    c_Int_OPls ), c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls )
% 0.97/1.58     }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( X ), 
% 0.97/1.58    c_Int_OPls ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, c_Int_OBit1( X
% 0.97/1.58     ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, c_Int_OBit1( X )
% 0.97/1.58     ) }.
% 0.97/1.58  { c_Groups_Oone__class_Oone( tc_Int_Oint ) = 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit1( c_Int_OPls )
% 0.97/1.58     ) }.
% 0.97/1.58  { ! class_Int_Onumber__ring( X ), ! c_Int_Oiszero( X, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( X, c_Int_OBit1( c_Int_OPls ) ) ) }.
% 0.97/1.58  { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Int_Oint ), 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit1( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ) }.
% 0.97/1.58  { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ), 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( X, Y ) ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( c_Int_OPls )
% 0.97/1.58    , Y ) }.
% 0.97/1.58  { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( c_Int_OPls )
% 0.97/1.58    , Y ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X
% 0.97/1.58     ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.97/1.58  { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.97/1.58    , Y ), c_Groups_Oone__class_Oone( X ) ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) }.
% 0.97/1.58  { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ), c_Orderings_Oord__class_Oless__eq( X, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Oone__class_Oone( X )
% 0.97/1.58     ) }.
% 0.97/1.58  { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ), 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( X, Y ) ), c_Orderings_Oord__class_Oless
% 0.97/1.58    ( tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), Y ) }.
% 0.97/1.58  { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), Y
% 0.97/1.58     ), c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ), 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.97/1.58  { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.97/1.58     ), c_Groups_Oone__class_Oone( X ) ), c_Orderings_Oord__class_Oless( 
% 0.97/1.58    tc_Int_Oint, Y, c_Int_OBit1( c_Int_OPls ) ) }.
% 0.97/1.58  { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OBit1( c_Int_OPls )
% 0.97/1.58     ), c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X
% 0.97/1.58    , Y ), c_Groups_Oone__class_Oone( X ) ) }.
% 0.97/1.58  { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Oone__class_Oone( X )
% 0.97/1.58     ) = c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus( 
% 0.97/1.58    tc_Int_Oint, Y, c_Int_OBit1( c_Int_OPls ) ) ) }.
% 0.97/1.58  { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X, 
% 0.97/1.58    c_Groups_Oone__class_Oone( X ), c_Int_Onumber__class_Onumber__of( X, Y )
% 0.97/1.58     ) = c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus( 
% 0.97/1.58    tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), Y ) ) }.
% 0.97/1.58  { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), Y ), hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), X ) ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( 
% 0.97/1.58    tc_Nat_Onat ), Z ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X
% 0.97/1.58     ) }.
% 0.97/1.58  { c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( 
% 0.97/1.58    tc_Nat_Onat ), Z ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, hAPP
% 0.97/1.58    ( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), Y ), hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), X ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), Y ), hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), X ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, X ) }.
% 0.97/1.58  { Y = X, c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! Y = X }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ), ! Y = X }.
% 0.97/1.58  { Y = X, c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, X ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! X = Y }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! Y = X }.
% 0.97/1.58  { alpha92( X, Y, Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, Z ), 
% 0.97/1.58    hBOOL( hAPP( hAPP( X, Y ), Z ) ) }.
% 0.97/1.58  { alpha92( X, Y, Z ), ! hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP
% 0.97/1.58    ( X, Y ), Z ) ) }.
% 0.97/1.58  { ! alpha92( X, Y, Z ), alpha95( X, Y, Z ), Z = Y }.
% 0.97/1.58  { ! alpha92( X, Y, Z ), alpha95( X, Y, Z ), ! hBOOL( hAPP( hAPP( X, Y ), Z
% 0.97/1.58     ) ) }.
% 0.97/1.58  { ! alpha95( X, Y, Z ), alpha92( X, Y, Z ) }.
% 0.97/1.58  { ! Z = Y, hBOOL( hAPP( hAPP( X, Y ), Z ) ), alpha92( X, Y, Z ) }.
% 0.97/1.58  { ! alpha95( X, Y, Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y )
% 0.97/1.58     }.
% 0.97/1.58  { ! alpha95( X, Y, Z ), ! hBOOL( hAPP( hAPP( X, Y ), Z ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y ), hBOOL( hAPP( hAPP( 
% 0.97/1.58    X, Y ), Z ) ), alpha95( X, Y, Z ) }.
% 0.97/1.58  { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) = 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) }.
% 0.97/1.58  { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, c_Groups_Oplus__class_Oplus
% 0.97/1.58    ( tc_Nat_Onat, Y, X ) ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.97/1.58  { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus( 
% 0.97/1.58    tc_Nat_Onat, Z, Y ), X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.97/1.58  { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) = 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ), Y = X }.
% 0.97/1.58  { ! Y = X, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) = 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) }.
% 0.97/1.58  { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) = 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ), Z = X }.
% 0.97/1.58  { ! Z = X, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) = 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Y ), Y = X }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Z ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ) }.
% 0.97/1.58  { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.97/1.58  { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Y ) }.
% 0.97/1.58  { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, X ) }.
% 0.97/1.58  { hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), Y ) ), X ) = hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y ), X ) ) }.
% 0.97/1.58  { hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y ), X ) = hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X ), Y ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.97/1.58  { X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( 
% 0.97/1.58    tc_Nat_Onat ), X ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.58    ( tc_Nat_Onat ), X ), ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }
% 0.97/1.58    .
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! X = 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.58  { X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( 
% 0.97/1.58    tc_Nat_Onat ), X ) }.
% 0.97/1.58  { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) = Y, X = 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.58  { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) = 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y = 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.58  { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) = 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X = 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.58  { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), ! X = 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus( 
% 0.97/1.58    tc_Nat_Onat, Y, X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.58  { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, c_Groups_Ozero__class_Ozero
% 0.97/1.58    ( tc_Nat_Onat ) ) = X }.
% 0.97/1.58  { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( 
% 0.97/1.58    tc_Nat_Onat ), X ) = X }.
% 0.97/1.58  { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X = 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.58  { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.97/1.58  { ! hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), Y ) = hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X ), Y ), Z = X, Y = 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.58  { ! Z = X, hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), Y ) = 
% 0.97/1.58    hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X ), Y ) }.
% 0.97/1.58  { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), Y ) = hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X ), Y ) }.
% 0.97/1.58  { ! hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), Y ) = hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), X ), Y = X, Z = 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.58  { ! Y = X, hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), Y ) = 
% 0.97/1.58    hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), X ) }.
% 0.97/1.58  { ! Z = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), Y ) = hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), X ) }.
% 0.97/1.58  { ! hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y ), X ) = 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y = 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X = 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.58  { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y ), X ) = 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.58  { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y ), X ) = 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.58  { hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X ), 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) = 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.58  { hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X ) = 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.97/1.58    ( tc_Nat_Onat, Y, Z ), X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y
% 0.97/1.58    , X ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, T, X ) = 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Nat_Onat, T, Z ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Nat_Onat, T, Z ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus( 
% 0.97/1.58    tc_Nat_Onat, Y, T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }
% 0.97/1.58    .
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus( 
% 0.97/1.58    tc_Nat_Onat, Y, Z ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }
% 0.97/1.58    .
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.97/1.58    ( tc_Nat_Onat, Z, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) )
% 0.97/1.58    , c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus( 
% 0.97/1.58    tc_Nat_Onat, Z, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }
% 0.97/1.58    .
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.97/1.58    ( tc_Nat_Onat, Y, X ), X ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.97/1.58    ( tc_Nat_Onat, Y, X ), Y ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.97/1.58  { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), Y = X, 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), Y = X }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.97/1.58  { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! Y = X }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), Y = X, 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.97/1.58  { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) }.
% 0.97/1.58  { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), X = 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, skol9( X, Y ) ) }.
% 0.97/1.58  { ! X = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ), 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, Z ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, T ), 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ), X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, X ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.97/1.58  { hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) ), X ) = 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), X ), hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y ), X ) ) }.
% 0.97/1.58  { hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) = 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), Y ), hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), X ) ) }.
% 0.97/1.58  { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X ), X ) ) }.
% 0.97/1.58  { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X ), hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X ), X ) ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y ), Z ), hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X ), Z ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), Y ), hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), X ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, Z ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y ), T ), hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X ), Z ) ) }.
% 0.97/1.58  { ! hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y ), X ) = 
% 0.97/1.58    c_Groups_Oone__class_Oone( tc_Nat_Onat ), Y = c_Groups_Oone__class_Oone( 
% 0.97/1.58    tc_Nat_Onat ) }.
% 0.97/1.58  { ! hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y ), X ) = 
% 0.97/1.58    c_Groups_Oone__class_Oone( tc_Nat_Onat ), X = c_Groups_Oone__class_Oone( 
% 0.97/1.58    tc_Nat_Onat ) }.
% 0.97/1.58  { ! Y = c_Groups_Oone__class_Oone( tc_Nat_Onat ), ! X = 
% 0.97/1.58    c_Groups_Oone__class_Oone( tc_Nat_Onat ), hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y ), X ) = 
% 0.97/1.58    c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.97/1.58  { hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X ), 
% 0.97/1.58    c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) = X }.
% 0.97/1.58  { ! c_Groups_Oone__class_Oone( tc_Nat_Onat ) = hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y ), X ), Y = 
% 0.97/1.58    c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.97/1.58  { ! c_Groups_Oone__class_Oone( tc_Nat_Onat ) = hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y ), X ), X = 
% 0.97/1.58    c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.97/1.58  { ! Y = c_Groups_Oone__class_Oone( tc_Nat_Onat ), ! X = 
% 0.97/1.58    c_Groups_Oone__class_Oone( tc_Nat_Onat ), c_Groups_Oone__class_Oone( 
% 0.97/1.58    tc_Nat_Onat ) = hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y ), X
% 0.97/1.58     ) }.
% 0.97/1.58  { hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, 
% 0.97/1.58    c_Groups_Oone__class_Oone( tc_Nat_Onat ) ), X ) = X }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.58    ( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( 
% 0.97/1.58    tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.58    ( tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus( 
% 0.97/1.58    tc_Nat_Onat, Y, X ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.58    ( tc_Nat_Onat ), X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus( 
% 0.97/1.58    tc_Nat_Onat, Y, X ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.58    ( tc_Nat_Onat ), hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y ), X
% 0.97/1.58     ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.58    ( tc_Nat_Onat ), hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y ), X
% 0.97/1.58     ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.58    ( tc_Nat_Onat ), Y ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( 
% 0.97/1.58    tc_Nat_Onat ), hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y ), X )
% 0.97/1.58     ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), Y ), hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), X ) ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( 
% 0.97/1.58    tc_Nat_Onat ), Z ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), Y ), hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), X ) ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.58    ( tc_Nat_Onat ), Z ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X
% 0.97/1.58     ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), Y ), hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), X ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), Y ), hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X ), Y ) ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( 
% 0.97/1.58    tc_Nat_Onat ), Y ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), Y ), hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X ), Y ) ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, X ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.58    ( tc_Nat_Onat ), Y ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, X
% 0.97/1.58     ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), Y ), hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X ), Y ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( 
% 0.97/1.58    tc_Nat_Onat ), Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y ), Z ), hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X ), Z ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( 
% 0.97/1.58    tc_Nat_Onat ), Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), Y ), hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), X ) ) }.
% 0.97/1.58  { ! Y = hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y ), X ), X = 
% 0.97/1.58    c_Groups_Oone__class_Oone( tc_Nat_Onat ), Y = c_Groups_Ozero__class_Ozero
% 0.97/1.58    ( tc_Nat_Onat ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), Y ), hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X ), Y ) ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( 
% 0.97/1.58    tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, X
% 0.97/1.58     ) }.
% 0.97/1.58  { c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( 
% 0.97/1.58    tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, hAPP
% 0.97/1.58    ( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), Y ), hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X ), Y ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), Y ), hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X ), Y ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.58    ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, 
% 0.97/1.58    hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X ), Z ), hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X ), Y ) ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, Y ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.58    ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z
% 0.97/1.58    , Y ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X ), Z ), hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X ), Y ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.58    ( tc_Nat_Onat ), X ), ! hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat
% 0.97/1.58    , X ), Z ) = hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X ), Y ), 
% 0.97/1.58    Z = Y }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.58    ( tc_Nat_Onat ), X ), ! Z = Y, hAPP( c_Groups_Otimes__class_Otimes( 
% 0.97/1.58    tc_Nat_Onat, X ), Z ) = hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat
% 0.97/1.58    , X ), Y ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.58    ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP
% 0.97/1.58    ( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X ), Z ), hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X ), Y ) ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.58    ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y
% 0.97/1.58     ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X ), Z ), hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X ), Y ) ) }.
% 0.97/1.58  { ! hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), Y ) = hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), X ), Z = 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y = X }.
% 0.97/1.58  { ! Z = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), Y ) = hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), X ) }.
% 0.97/1.58  { ! Y = X, hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), Y ) = 
% 0.97/1.58    hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), X ) }.
% 0.97/1.58  { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, T ), Z ), 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y ), Z ), X ) ) = 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Oplus__class_Oplus( 
% 0.97/1.58    tc_Nat_Onat, T, Y ) ), Z ), X ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), X = 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, skol10( X, Y ) ) }.
% 0.97/1.58  { ! X = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.97/1.58  { c_Groups_Oone__class_Oone( tc_Code__Numeral_Ocode__numeral ) = 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Code__Numeral_Ocode__numeral, 
% 0.97/1.58    c_Int_OBit1( c_Int_OPls ) ) }.
% 0.97/1.58  { c_Groups_Ozero__class_Ozero( tc_Code__Numeral_Ocode__numeral ) = 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Code__Numeral_Ocode__numeral, 
% 0.97/1.58    c_Int_OPls ) }.
% 0.97/1.58  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 0.97/1.58    class_Int_Onumber__ring( X ), c_Orderings_Oord__class_Oless( X, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, 
% 0.97/1.58    c_Groups_Oone__class_Oone( X ), c_Int_Onumber__class_Onumber__of( X, 
% 0.97/1.58    c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.97/1.58    ( tc_Int_Oint ), X ), hBOOL( hAPP( Y, skol11( Z, Y ) ) ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Int_Oint ), T ), ! hBOOL( hAPP( Y, U ) )
% 0.97/1.58    , hBOOL( hAPP( Y, c_Groups_Oplus__class_Oplus( tc_Int_Oint, U, hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Int_Oint, T ), X ) ) ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.97/1.58    ( tc_Int_Oint ), X ), ! hBOOL( hAPP( Y, c_Groups_Oplus__class_Oplus( 
% 0.97/1.58    tc_Int_Oint, skol11( X, Y ), X ) ) ), ! c_Orderings_Oord__class_Oless__eq
% 0.97/1.58    ( tc_Int_Oint, c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Z ), ! hBOOL( 
% 0.97/1.58    hAPP( Y, T ) ), hBOOL( hAPP( Y, c_Groups_Oplus__class_Oplus( tc_Int_Oint
% 0.97/1.58    , T, hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z ), X ) ) ) ) }.
% 0.97/1.58  { ! class_Int_Onumber__ring( X ), ! class_Int_Oring__char__0( X ), ! 
% 0.97/1.58    c_Int_Oiszero( X, c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( Y ) )
% 0.97/1.58     ), c_Int_Oiszero( X, c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.97/1.58  { ! class_Int_Onumber__ring( X ), ! class_Int_Oring__char__0( X ), ! 
% 0.97/1.58    c_Int_Oiszero( X, c_Int_Onumber__class_Onumber__of( X, Y ) ), 
% 0.97/1.58    c_Int_Oiszero( X, c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( Y ) )
% 0.97/1.58     ) }.
% 0.97/1.58  { c_Int_Opred( c_Int_OBit1( X ) ) = c_Int_OBit0( X ) }.
% 0.97/1.58  { c_Int_Opred( c_Int_OBit0( X ) ) = c_Int_OBit1( c_Int_Opred( X ) ) }.
% 0.97/1.58  { c_Int_Osucc( c_Int_OBit0( X ) ) = c_Int_OBit1( X ) }.
% 0.97/1.58  { c_Int_Osucc( c_Int_OBit1( X ) ) = c_Int_OBit0( c_Int_Osucc( X ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ), 
% 0.97/1.58    c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.97/1.58     ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ), 
% 0.97/1.58    c_Int_OBit0( X ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ), 
% 0.97/1.58    c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.97/1.58     ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ), 
% 0.97/1.58    c_Int_OBit0( X ) ) }.
% 0.97/1.58  { hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Int_OBit0( Y ) ), X )
% 0.97/1.58     = c_Int_OBit0( hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y ), X
% 0.97/1.58     ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ), 
% 0.97/1.58    c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.97/1.58    .
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit0
% 0.97/1.58    ( X ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ), 
% 0.97/1.58    c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.97/1.58    .
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit0
% 0.97/1.58    ( X ) ) }.
% 0.97/1.58  { c_Int_OBit0( X ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, X ) }.
% 0.97/1.58  { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit0( 
% 0.97/1.58    X ) ) = c_Int_OBit0( c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }
% 0.97/1.58    .
% 0.97/1.58  { ! c_Int_OBit1( Y ) = c_Int_OBit0( X ) }.
% 0.97/1.58  { ! c_Int_OBit0( Y ) = c_Int_OBit1( X ) }.
% 0.97/1.58  { c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Int_OBit0( X ) ) = 
% 0.97/1.58    c_Int_OBit0( c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) }.
% 0.97/1.58  { ! c_Int_OBit0( Y ) = c_Int_OBit0( X ), Y = X }.
% 0.97/1.58  { ! Y = X, c_Int_OBit0( Y ) = c_Int_OBit0( X ) }.
% 0.97/1.58  { ! c_Int_OBit0( X ) = c_Int_OPls, X = c_Int_OPls }.
% 0.97/1.58  { ! X = c_Int_OPls, c_Int_OBit0( X ) = c_Int_OPls }.
% 0.97/1.58  { ! c_Int_OPls = c_Int_OBit0( X ), c_Int_OPls = X }.
% 0.97/1.58  { ! c_Int_OPls = X, c_Int_OPls = c_Int_OBit0( X ) }.
% 0.97/1.58  { c_Int_OBit0( c_Int_OPls ) = c_Int_OPls }.
% 0.97/1.58  { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit1( 
% 0.97/1.58    X ) ) = c_Int_OBit1( c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }
% 0.97/1.58    .
% 0.97/1.58  { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit0( 
% 0.97/1.58    X ) ) = c_Int_OBit1( c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }
% 0.97/1.58    .
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, c_Int_OBit0( X
% 0.97/1.58     ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, c_Int_OBit0( X )
% 0.97/1.58     ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( X ), 
% 0.97/1.58    c_Int_OPls ), c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls )
% 0.97/1.58     }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( X ), c_Int_OPls
% 0.97/1.58     ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( X ), 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Int_Oint, X, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( X ), 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ), 
% 0.97/1.58    c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.97/1.58    .
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit0
% 0.97/1.58    ( X ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ), 
% 0.97/1.58    c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.97/1.58    .
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit0
% 0.97/1.58    ( X ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( X ), 
% 0.97/1.58    c_Int_OPls ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, 
% 0.97/1.58    c_Int_OPls ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( X ), 
% 0.97/1.58    c_Int_OPls ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, c_Int_OBit0
% 0.97/1.58    ( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X )
% 0.97/1.58     }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, c_Int_OBit0( 
% 0.97/1.58    X ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ), 
% 0.97/1.58    c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.97/1.58     ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ), 
% 0.97/1.58    c_Int_OBit1( X ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ), 
% 0.97/1.58    c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.97/1.58     ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ), 
% 0.97/1.58    c_Int_OBit1( X ) ) }.
% 0.97/1.58  { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X, 
% 0.97/1.58    c_Int_OBit0( Y ) ) = c_Groups_Oplus__class_Oplus( X, 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( X, c_Groups_Ozero__class_Ozero( X ), 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( X, Y ) ), 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ), 
% 0.97/1.58    c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.97/1.58     ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit1
% 0.97/1.58    ( X ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ), 
% 0.97/1.58    c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.97/1.58     ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit1
% 0.97/1.58    ( X ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ), 
% 0.97/1.58    c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.97/1.58    .
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ), 
% 0.97/1.58    c_Int_OBit0( X ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ), 
% 0.97/1.58    c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.97/1.58    .
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ), 
% 0.97/1.58    c_Int_OBit0( X ) ) }.
% 0.97/1.58  { hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Int_OBit1( Y ) ), X )
% 0.97/1.58     = c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OBit0( hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y ), X ) ), X ) }.
% 0.97/1.58  { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit1( 
% 0.97/1.58    X ) ) = c_Int_OBit0( c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, 
% 0.97/1.58    c_Int_Osucc( X ) ) ) }.
% 0.97/1.58  { ! class_Int_Onumber__ring( X ), hAPP( c_Groups_Otimes__class_Otimes( X, 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ), 
% 0.97/1.58    c_Groups_Oone__class_Oone( X ) ) ), c_Int_Onumber__class_Onumber__of( X, 
% 0.97/1.58    Y ) ) = c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( Y ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Int_Oint ), 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Int_Oint ), 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit0( X ) ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Int_Oint ), 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Int_Oint ), 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit1( X ) ) ) }.
% 0.97/1.58  { ! Z = c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0( 
% 0.97/1.58    c_Int_OBit1( c_Int_OPls ) ) ) ), X ) ), hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0( 
% 0.97/1.58    c_Int_OBit1( c_Int_OPls ) ) ) ), Z ) = c_Rings_Oinverse__class_Odivide( 
% 0.97/1.58    tc_RealDef_Oreal, Y, X ) }.
% 0.97/1.58  { ! hAPP( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0( 
% 0.97/1.58    c_Int_OBit1( c_Int_OPls ) ) ) ), Z ) = c_Rings_Oinverse__class_Odivide( 
% 0.97/1.58    tc_RealDef_Oreal, Y, X ), Z = c_Rings_Oinverse__class_Odivide( 
% 0.97/1.58    tc_RealDef_Oreal, Y, hAPP( c_Groups_Otimes__class_Otimes( 
% 0.97/1.58    tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, 
% 0.97/1.58    c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ), X ) ) }.
% 0.97/1.58  { ! class_Int_Onumber__ring( X ), hAPP( c_Groups_Otimes__class_Otimes( X, Y
% 0.97/1.58     ), c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ) = c_Groups_Oplus__class_Oplus( X, Y, Y ) }.
% 0.97/1.58  { ! class_Int_Onumber__ring( X ), hAPP( c_Groups_Otimes__class_Otimes( X, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.97/1.58     ) ) ) ), Y ) = c_Groups_Oplus__class_Oplus( X, Y, Y ) }.
% 0.97/1.58  { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X, 
% 0.97/1.58    c_Groups_Oone__class_Oone( X ), c_Groups_Oone__class_Oone( X ) ) = 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.97/1.58     ) ) ) }.
% 0.97/1.58  { c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( 
% 0.97/1.58    tc_Nat_Onat ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0
% 0.97/1.58    ( c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.97/1.58  { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Int_Oint ), 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ) }.
% 0.97/1.58  { hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X ), 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, X ) }.
% 0.97/1.58  { hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ), X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, X
% 0.97/1.58     ) }.
% 0.97/1.58  { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Oone__class_Oone( 
% 0.97/1.58    tc_Nat_Onat ), c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) = 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, 
% 0.97/1.58    c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ), 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0( 
% 0.97/1.58    c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.58    c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ), 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0( 
% 0.97/1.58    c_Int_OBit1( c_Int_OPls ) ) ) ), X ) }.
% 0.97/1.58  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 0.97/1.58    class_Int_Onumber__ring( X ), ! c_Orderings_Oord__class_Oless( X, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless( X, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.97/1.58     ) ) ) ) ) }.
% 0.97/1.58  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 0.97/1.58    class_Int_Onumber__ring( X ), ! c_Orderings_Oord__class_Oless( X, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.97/1.58     ) ) ) ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero
% 0.97/1.58    ( X ), Y ) }.
% 0.97/1.58  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 0.97/1.58    class_Int_Onumber__ring( X ), ! c_Orderings_Oord__class_Oless( X, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless( X, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.97/1.58     ) ) ) ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Int_Oint, X, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ), X = c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X = 
% 0.97/1.58    c_Groups_Oone__class_Oone( tc_Int_Oint ) }.
% 0.97/1.58  { c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, 
% 0.97/1.58    c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0( 
% 0.97/1.58    c_Int_OBit1( c_Int_OPls ) ) ) ), c_Rings_Oinverse__class_Odivide( 
% 0.97/1.58    tc_RealDef_Oreal, X, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, 
% 0.97/1.58    c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) = X }.
% 0.97/1.58  { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), alpha93( X, Y ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), c_Deriv_Oderiv( 
% 0.97/1.58    tc_RealDef_Oreal, c_NthRoot_Osqrt, X, Y ) }.
% 0.97/1.58  { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), alpha93( X, Y ), ! Y
% 0.97/1.58     = c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, 
% 0.97/1.58    c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal, hAPP( c_NthRoot_Osqrt
% 0.97/1.58    , X ) ) ), c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, 
% 0.97/1.58    c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ), c_Deriv_Oderiv( 
% 0.97/1.58    tc_RealDef_Oreal, c_NthRoot_Osqrt, X, Y ) }.
% 0.97/1.58  { ! alpha93( X, Y ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ) }.
% 0.97/1.58  { ! alpha93( X, Y ), ! Y = c_Rings_Oinverse__class_Odivide( 
% 0.97/1.58    tc_RealDef_Oreal, c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal, 
% 0.97/1.58    hAPP( c_NthRoot_Osqrt, X ) ), c_Int_Onumber__class_Onumber__of( 
% 0.97/1.58    tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), Y = 
% 0.97/1.58    c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, 
% 0.97/1.58    c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal, hAPP( c_NthRoot_Osqrt
% 0.97/1.58    , X ) ), c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0
% 0.97/1.58    ( c_Int_OBit1( c_Int_OPls ) ) ) ), alpha93( X, Y ) }.
% 0.97/1.58  { Y = X, ! c_Deriv_Oderiv( tc_RealDef_Oreal, Z, skol12( Z, T ), T ), hAPP( 
% 0.97/1.58    Z, c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ), 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0( 
% 0.97/1.58    c_Int_OBit1( c_Int_OPls ) ) ) ) ) = c_Rings_Oinverse__class_Odivide( 
% 0.97/1.58    tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, hAPP( Z
% 0.97/1.58    , Y ), hAPP( Z, X ) ), c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal
% 0.97/1.58    , c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, hAPP( c_NthRoot_Osqrt
% 0.97/1.58    , X ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, 
% 0.97/1.58    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, 
% 0.97/1.58    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, hAPP( c_NthRoot_Osqrt, X
% 0.97/1.58     ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), hAPP( c_NthRoot_Osqrt, X )
% 0.97/1.58     ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), hAPP( c_NthRoot_Osqrt, X )
% 0.97/1.58     ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), hAPP( c_NthRoot_Osqrt, X )
% 0.97/1.58     ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), hAPP( c_NthRoot_Osqrt, X )
% 0.97/1.58     ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, hAPP( 
% 0.97/1.58    c_NthRoot_Osqrt, X ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, 
% 0.97/1.58    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, 
% 0.97/1.58    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, hAPP( 
% 0.97/1.58    c_NthRoot_Osqrt, X ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), hAPP( c_NthRoot_Osqrt, X )
% 0.97/1.58     ) }.
% 0.97/1.58  { ! hAPP( c_NthRoot_Osqrt, X ) = c_Groups_Oone__class_Oone( 
% 0.97/1.58    tc_RealDef_Oreal ), X = c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.97/1.58  { ! X = c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), hAPP( 
% 0.97/1.58    c_NthRoot_Osqrt, X ) = c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.97/1.58  { hAPP( c_NthRoot_Osqrt, c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) = 
% 0.97/1.58    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, hAPP( 
% 0.97/1.58    c_NthRoot_Osqrt, Y ), hAPP( c_NthRoot_Osqrt, X ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, hAPP( 
% 0.97/1.58    c_NthRoot_Osqrt, Y ), hAPP( c_NthRoot_Osqrt, X ) ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, hAPP( 
% 0.97/1.58    c_NthRoot_Osqrt, Y ), hAPP( c_NthRoot_Osqrt, X ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, hAPP( c_NthRoot_Osqrt, Y
% 0.97/1.58     ), hAPP( c_NthRoot_Osqrt, X ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, hAPP( c_NthRoot_Osqrt
% 0.97/1.58    , Y ), hAPP( c_NthRoot_Osqrt, X ) ), c_Orderings_Oord__class_Oless( 
% 0.97/1.58    tc_RealDef_Oreal, Y, X ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, hAPP( c_NthRoot_Osqrt, Y
% 0.97/1.58     ), hAPP( c_NthRoot_Osqrt, X ) ) }.
% 0.97/1.58  { hAPP( c_NthRoot_Osqrt, hAPP( c_Groups_Otimes__class_Otimes( 
% 0.97/1.58    tc_RealDef_Oreal, Y ), X ) ) = hAPP( c_Groups_Otimes__class_Otimes( 
% 0.97/1.58    tc_RealDef_Oreal, hAPP( c_NthRoot_Osqrt, Y ) ), hAPP( c_NthRoot_Osqrt, X
% 0.97/1.58     ) ) }.
% 0.97/1.58  { hAPP( c_NthRoot_Osqrt, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal
% 0.97/1.58    , X ) ) = c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, hAPP( 
% 0.97/1.58    c_NthRoot_Osqrt, X ) ) }.
% 0.97/1.58  { hAPP( c_NthRoot_Osqrt, c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal
% 0.97/1.58    , X ) ) = c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal, hAPP( 
% 0.97/1.58    c_NthRoot_Osqrt, X ) ) }.
% 0.97/1.58  { hAPP( c_NthRoot_Osqrt, c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal
% 0.97/1.58    , Y, X ) ) = c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, hAPP( 
% 0.97/1.58    c_NthRoot_Osqrt, Y ), hAPP( c_NthRoot_Osqrt, X ) ) }.
% 0.97/1.58  { ! hAPP( c_NthRoot_Osqrt, Y ) = hAPP( c_NthRoot_Osqrt, X ), Y = X }.
% 0.97/1.58  { ! Y = X, hAPP( c_NthRoot_Osqrt, Y ) = hAPP( c_NthRoot_Osqrt, X ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), hAPP( c_NthRoot_Osqrt, X
% 0.97/1.58     ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), ! hAPP( 
% 0.97/1.58    c_NthRoot_Osqrt, X ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }
% 0.97/1.58    .
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, hAPP( c_NthRoot_Osqrt
% 0.97/1.58    , X ), c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, hAPP( c_NthRoot_Osqrt, X
% 0.97/1.58     ), c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), hAPP( c_NthRoot_Osqrt, X
% 0.97/1.58     ) ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), hAPP( c_NthRoot_Osqrt, X
% 0.97/1.58     ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), hAPP( c_NthRoot_Osqrt, X
% 0.97/1.58     ) ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), hAPP( c_NthRoot_Osqrt, X
% 0.97/1.58     ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, hAPP( 
% 0.97/1.58    c_NthRoot_Osqrt, X ), c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, hAPP( 
% 0.97/1.58    c_NthRoot_Osqrt, X ), c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }
% 0.97/1.58    .
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), hAPP( c_NthRoot_Osqrt, X
% 0.97/1.58     ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), ! hAPP( 
% 0.97/1.58    c_NthRoot_Osqrt, X ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X
% 0.97/1.58     = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.97/1.58  { ! hAPP( c_NthRoot_Osqrt, X ) = c_Groups_Ozero__class_Ozero( 
% 0.97/1.58    tc_RealDef_Oreal ), X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }
% 0.97/1.58    .
% 0.97/1.58  { ! X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), hAPP( 
% 0.97/1.58    c_NthRoot_Osqrt, X ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }
% 0.97/1.58    .
% 0.97/1.58  { hAPP( c_NthRoot_Osqrt, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) 
% 0.97/1.58    = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.97/1.58  { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, hAPP( 
% 0.97/1.58    c_NthRoot_Osqrt, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y ), Y ), hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X ), X ) ) ) ) }.
% 0.97/1.58  { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), hAPP( c_NthRoot_Osqrt, 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y ), Y ), hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X ), X ) ) ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), 
% 0.97/1.58    c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, hAPP( c_NthRoot_Osqrt
% 0.97/1.58    , X ), X ) = c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal, hAPP( 
% 0.97/1.58    c_NthRoot_Osqrt, X ) ) }.
% 0.97/1.58  { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), hAPP( c_NthRoot_Osqrt, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0( 
% 0.97/1.58    c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.97/1.58  { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), hAPP( c_NthRoot_Osqrt, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0( 
% 0.97/1.58    c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.97/1.58  { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), hAPP( c_NthRoot_Osqrt, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0( 
% 0.97/1.58    c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.58    c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X, hAPP( 
% 0.97/1.58    c_NthRoot_Osqrt, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, 
% 0.97/1.58    c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ), X ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), c_Deriv_Oderiv( 
% 0.97/1.58    tc_RealDef_Oreal, c_NthRoot_Osqrt, X, c_Rings_Oinverse__class_Odivide( 
% 0.97/1.58    tc_RealDef_Oreal, c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal, 
% 0.97/1.58    hAPP( c_NthRoot_Osqrt, X ) ), c_Int_Onumber__class_Onumber__of( 
% 0.97/1.58    tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, 
% 0.97/1.58    c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0( 
% 0.97/1.58    c_Int_OBit1( c_Int_OPls ) ) ) ) ), ! c_Orderings_Oord__class_Oless( 
% 0.97/1.58    tc_RealDef_Oreal, Z, c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X
% 0.97/1.58    , c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0( 
% 0.97/1.58    c_Int_OBit1( c_Int_OPls ) ) ) ) ), ! c_Orderings_Oord__class_Oless__eq( 
% 0.97/1.58    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), !
% 0.97/1.58     c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Z ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, hAPP( c_NthRoot_Osqrt, 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, 
% 0.97/1.58    c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, Z, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ) ) ), X ) }.
% 0.97/1.58  { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), hAPP( c_NthRoot_Osqrt, 
% 0.97/1.58    hAPP( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, 
% 0.97/1.58    c_Power_Opower__class_Opower( tc_RealDef_Oreal, T, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, Z, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ) ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, 
% 0.97/1.58    c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ) ) ) ) ) }.
% 0.97/1.58  { hAPP( c_NthRoot_Osqrt, c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y
% 0.97/1.58    , X ) ) = c_Power_Opower__class_Opower( tc_RealDef_Oreal, hAPP( 
% 0.97/1.58    c_NthRoot_Osqrt, Y ), X ) }.
% 0.97/1.58  { ! class_Rings_Ocomm__semiring__1( X ), c_Power_Opower__class_Opower( X, Y
% 0.97/1.58    , c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) = 
% 0.97/1.58    c_Groups_Oone__class_Oone( X ) }.
% 0.97/1.58  { ! class_Rings_Ocomm__semiring__1( X ), hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( X, c_Power_Opower__class_Opower( X, T, Z )
% 0.97/1.58     ), c_Power_Opower__class_Opower( X, T, Y ) ) = 
% 0.97/1.58    c_Power_Opower__class_Opower( X, T, c_Groups_Oplus__class_Oplus( 
% 0.97/1.58    tc_Nat_Onat, Z, Y ) ) }.
% 0.97/1.58  { ! class_Rings_Ocomm__semiring__1( X ), c_Power_Opower__class_Opower( X, 
% 0.97/1.58    c_Power_Opower__class_Opower( X, T, Z ), Y ) = 
% 0.97/1.58    c_Power_Opower__class_Opower( X, T, hAPP( c_Groups_Otimes__class_Otimes( 
% 0.97/1.58    tc_Nat_Onat, Z ), Y ) ) }.
% 0.97/1.58  { ! class_Rings_Ocomm__semiring__1( X ), c_Power_Opower__class_Opower( X, 
% 0.97/1.58    hAPP( c_Groups_Otimes__class_Otimes( X, T ), Z ), Y ) = hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( X, c_Power_Opower__class_Opower( X, T, Y )
% 0.97/1.58     ), c_Power_Opower__class_Opower( X, Z, Y ) ) }.
% 0.97/1.58  { ! class_Rings_Ocomm__semiring__1( X ), c_Power_Opower__class_Opower( X, Y
% 0.97/1.58    , c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) = Y }.
% 0.97/1.58  { ! class_Power_Opower( X ), ! class_Rings_Omult__zero( X ), ! 
% 0.97/1.58    class_Rings_Ono__zero__divisors( X ), ! class_Rings_Ozero__neq__one( X )
% 0.97/1.58    , ! c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of
% 0.97/1.58    ( tc_Nat_Onat, Y ) ) = c_Groups_Ozero__class_Ozero( X ), Z = 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.58  { ! class_Power_Opower( X ), ! class_Rings_Omult__zero( X ), ! 
% 0.97/1.58    class_Rings_Ono__zero__divisors( X ), ! class_Rings_Ozero__neq__one( X )
% 0.97/1.58    , ! c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of
% 0.97/1.58    ( tc_Nat_Onat, Y ) ) = c_Groups_Ozero__class_Ozero( X ), ! 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ) = 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.58  { ! class_Power_Opower( X ), ! class_Rings_Omult__zero( X ), ! 
% 0.97/1.58    class_Rings_Ono__zero__divisors( X ), ! class_Rings_Ozero__neq__one( X )
% 0.97/1.58    , ! Z = c_Groups_Ozero__class_Ozero( X ), 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ) = 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Power_Opower__class_Opower
% 0.97/1.58    ( X, Z, c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ) ) = 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.58  { ! class_Power_Opower( X ), ! class_Rings_Osemiring__0( X ), ! 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ) = 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Power_Opower__class_Opower
% 0.97/1.58    ( X, c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( 
% 0.97/1.58    tc_Nat_Onat, Y ) ) = c_Groups_Oone__class_Oone( X ) }.
% 0.97/1.58  { ! class_Power_Opower( X ), ! class_Rings_Osemiring__0( X ), 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ) = 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Power_Opower__class_Opower
% 0.97/1.58    ( X, c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( 
% 0.97/1.58    tc_Nat_Onat, Y ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.58  { ! class_Groups_Omonoid__mult( X ), c_Power_Opower__class_Opower( X, Y, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ) = hAPP( c_Groups_Otimes__class_Otimes( X, hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( X, Y ), Y ) ), Y ) }.
% 0.97/1.58  { ! class_Rings_Osemiring__1( X ), c_Power_Opower__class_Opower( X, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( 
% 0.97/1.58    tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) = 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.58  { ! class_Rings_Oring__1__no__zero__divisors( X ), ! 
% 0.97/1.58    c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of( 
% 0.97/1.58    tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) = 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.97/1.58    .
% 0.97/1.58  { ! class_Rings_Oring__1__no__zero__divisors( X ), ! Y = 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( X ), c_Power_Opower__class_Opower( X, Y, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.58  { ! class_Rings_Ocomm__semiring__1( X ), hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( X, Y ), Y ) = c_Power_Opower__class_Opower
% 0.97/1.58    ( X, Y, c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( 
% 0.97/1.58    c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.97/1.58  { ! class_Groups_Omonoid__mult( X ), c_Power_Opower__class_Opower( X, Y, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ) = hAPP( c_Groups_Otimes__class_Otimes( X, Y ), Y ) }.
% 0.97/1.58  { ! class_Rings_Osemiring__1( X ), c_Power_Opower__class_Opower( X, 
% 0.97/1.58    c_Groups_Oone__class_Oone( X ), c_Int_Onumber__class_Onumber__of( 
% 0.97/1.58    tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) = 
% 0.97/1.58    c_Groups_Oone__class_Oone( X ) }.
% 0.97/1.58  { ! class_Rings_Oring__1( X ), c_Power_Opower__class_Opower( X, 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( X, Y ), c_Int_Onumber__class_Onumber__of
% 0.97/1.58    ( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) = 
% 0.97/1.58    c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of( 
% 0.97/1.58    tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.97/1.58  { ! class_Groups_Omonoid__mult( X ), c_Power_Opower__class_Opower( X, Z, 
% 0.97/1.58    hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ), Y ) ) = c_Power_Opower__class_Opower( X, 
% 0.97/1.58    c_Power_Opower__class_Opower( X, Z, Y ), c_Int_Onumber__class_Onumber__of
% 0.97/1.58    ( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.97/1.58  { ! class_Rings_Olinordered__idom( X ), c_Orderings_Oord__class_Oless__eq( 
% 0.97/1.58    X, c_Groups_Ozero__class_Ozero( X ), c_Power_Opower__class_Opower( X, Y, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ) ) }.
% 0.97/1.58  { ! class_Rings_Olinordered__semidom( X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( X, c_Power_Opower__class_Opower( X, Z
% 0.97/1.58    , c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1
% 0.97/1.58    ( c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( X, Y, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ) ), ! c_Orderings_Oord__class_Oless__eq( X, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless__eq
% 0.97/1.58    ( X, Z, Y ) }.
% 0.97/1.58  { ! class_Rings_Olinordered__semidom( X ), ! c_Power_Opower__class_Opower( 
% 0.97/1.58    X, Z, c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( 
% 0.97/1.58    c_Int_OBit1( c_Int_OPls ) ) ) ) = c_Power_Opower__class_Opower( X, Y, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ), ! c_Orderings_Oord__class_Oless__eq( X, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( X ), Z ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.58     ), Z = Y }.
% 0.97/1.58  { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.97/1.58    , c_Groups_Ozero__class_Ozero( X ), c_Power_Opower__class_Opower( X, Y, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ) ), ! Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.58  { ! class_Rings_Olinordered__idom( X ), Y = c_Groups_Ozero__class_Ozero( X
% 0.97/1.58     ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), 
% 0.97/1.58    c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of( 
% 0.97/1.58    tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.97/1.58  { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.97/1.58    , c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of( 
% 0.97/1.58    tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ), 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.58  { ! class_Rings_Olinordered__idom( X ), ! c_Groups_Oplus__class_Oplus( X, 
% 0.97/1.58    c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of( 
% 0.97/1.58    tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ), 
% 0.97/1.58    c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of( 
% 0.97/1.58    tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) = 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ) }
% 0.97/1.58    .
% 0.97/1.58  { ! class_Rings_Olinordered__idom( X ), ! c_Groups_Oplus__class_Oplus( X, 
% 0.97/1.58    c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of( 
% 0.97/1.58    tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ), 
% 0.97/1.58    c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of( 
% 0.97/1.58    tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) = 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.97/1.58    .
% 0.97/1.58  { ! class_Rings_Olinordered__idom( X ), ! Z = c_Groups_Ozero__class_Ozero( 
% 0.97/1.58    X ), ! Y = c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus
% 0.97/1.58    ( X, c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of
% 0.97/1.58    ( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ), 
% 0.97/1.58    c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of( 
% 0.97/1.58    tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) = 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.58  { ! class_Groups_Omonoid__mult( X ), ! class_Int_Onumber( X ), 
% 0.97/1.58    c_Power_Opower__class_Opower( X, c_Int_Onumber__class_Onumber__of( X, Y )
% 0.97/1.58    , c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1
% 0.97/1.58    ( c_Int_OPls ) ) ) ) = hAPP( c_Groups_Otimes__class_Otimes( X, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( X, Y ) ), 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.97/1.58  { ! class_Rings_Oring__1__no__zero__divisors( X ), ! 
% 0.97/1.58    c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of( 
% 0.97/1.58    tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) = 
% 0.97/1.58    c_Groups_Oone__class_Oone( X ), Y = c_Groups_Oone__class_Oone( X ), Y = 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( X, c_Groups_Oone__class_Oone( X ) ) }.
% 0.97/1.58  { ! class_Rings_Oring__1__no__zero__divisors( X ), ! Y = 
% 0.97/1.58    c_Groups_Oone__class_Oone( X ), c_Power_Opower__class_Opower( X, Y, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ) = c_Groups_Oone__class_Oone( X ) }.
% 0.97/1.58  { ! class_Rings_Oring__1__no__zero__divisors( X ), ! Y = 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( X, c_Groups_Oone__class_Oone( X ) ), 
% 0.97/1.58    c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of( 
% 0.97/1.58    tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) = 
% 0.97/1.58    c_Groups_Oone__class_Oone( X ) }.
% 0.97/1.58  { ! class_Rings_Ocomm__semiring__1( X ), c_Power_Opower__class_Opower( X, Z
% 0.97/1.58    , hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ), Y ) ) = hAPP( c_Groups_Otimes__class_Otimes( X, 
% 0.97/1.58    c_Power_Opower__class_Opower( X, Z, Y ) ), c_Power_Opower__class_Opower( 
% 0.97/1.58    X, Z, Y ) ) }.
% 0.97/1.58  { ! class_Rings_Oring__1( X ), c_Power_Opower__class_Opower( X, 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( X, Z ), hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ), Y ) ) = c_Power_Opower__class_Opower( X, Z, hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ), Y ) ) }.
% 0.97/1.58  { ! c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, 
% 0.97/1.58    c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ) ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y
% 0.97/1.58     = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.97/1.58  { ! c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, 
% 0.97/1.58    c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ) ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X
% 0.97/1.58     = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.97/1.58  { ! Y = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! X = 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, 
% 0.97/1.58    c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ) ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }
% 0.97/1.58    .
% 0.97/1.58  { hAPP( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0( 
% 0.97/1.58    c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ), 
% 0.97/1.58    c_Power_Opower__class_Opower( tc_RealDef_Oreal, X, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ) ) = c_Power_Opower__class_Opower( tc_RealDef_Oreal, 
% 0.97/1.58    hAPP( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0( 
% 0.97/1.58    c_Int_OBit1( c_Int_OPls ) ) ) ), X ), c_Int_Onumber__class_Onumber__of( 
% 0.97/1.58    tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.97/1.58  { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), 
% 0.97/1.58    c_Power_Opower__class_Opower( tc_RealDef_Oreal, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0( 
% 0.97/1.58    c_Int_OBit1( c_Int_OPls ) ) ), X ) ) }.
% 0.97/1.58  { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, 
% 0.97/1.58    c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ) ) }.
% 0.97/1.58  { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.97/1.58    ( X, c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of
% 0.97/1.58    ( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ), 
% 0.97/1.58    c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of( 
% 0.97/1.58    tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.58     ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.97/1.58  { ! class_Rings_Olinordered__idom( X ), c_Orderings_Oord__class_Oless__eq( 
% 0.97/1.58    X, c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, 
% 0.97/1.58    c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of( 
% 0.97/1.58    tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ), 
% 0.97/1.58    c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of( 
% 0.97/1.58    tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) ) }.
% 0.97/1.58  { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq
% 0.97/1.58    ( X, c_Groups_Oplus__class_Oplus( X, c_Power_Opower__class_Opower( X, Z, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( X, Y, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ) ), c_Groups_Ozero__class_Ozero( X ) ), Z = 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.58  { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq
% 0.97/1.58    ( X, c_Groups_Oplus__class_Oplus( X, c_Power_Opower__class_Opower( X, Z, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( X, Y, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ) ), c_Groups_Ozero__class_Ozero( X ) ), Y = 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.58  { ! class_Rings_Olinordered__idom( X ), ! Z = c_Groups_Ozero__class_Ozero( 
% 0.97/1.58    X ), ! Y = c_Groups_Ozero__class_Ozero( X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, 
% 0.97/1.58    c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of( 
% 0.97/1.58    tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ), 
% 0.97/1.58    c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of( 
% 0.97/1.58    tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ), 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.58  { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.97/1.58    , c_Groups_Oplus__class_Oplus( X, c_Power_Opower__class_Opower( X, Z, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( X, Y, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ) ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.58  { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.97/1.58    , c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, 
% 0.97/1.58    c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of( 
% 0.97/1.58    tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ), 
% 0.97/1.58    c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of( 
% 0.97/1.58    tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) ), ! Z = 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.58     }.
% 0.97/1.58  { ! class_Rings_Olinordered__idom( X ), Z = c_Groups_Ozero__class_Ozero( X
% 0.97/1.58     ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( X, c_Power_Opower__class_Opower( X, Z, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( X, Y, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ) ) ) }.
% 0.97/1.58  { ! class_Rings_Olinordered__idom( X ), Y = c_Groups_Ozero__class_Ozero( X
% 0.97/1.58     ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( X, c_Power_Opower__class_Opower( X, Z, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( X, Y, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ) ) ) }.
% 0.97/1.58  { ! class_Int_Onumber__ring( X ), c_Power_Opower__class_Opower( X, 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( X, Z, Y ), c_Int_Onumber__class_Onumber__of
% 0.97/1.58    ( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) = 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( X, c_Groups_Oplus__class_Oplus( X, 
% 0.97/1.58    c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of( 
% 0.97/1.58    tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ), 
% 0.97/1.58    c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of( 
% 0.97/1.58    tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ), hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( X, hAPP( c_Groups_Otimes__class_Otimes( X
% 0.97/1.58    , c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ), Z ) ), Y ) ) }.
% 0.97/1.58  { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq
% 0.97/1.58    ( X, c_Power_Opower__class_Opower( X, Y, hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ), Z ) ), c_Groups_Ozero__class_Ozero( X ) ), Y = 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.58  { ! class_Rings_Olinordered__idom( X ), c_Orderings_Oord__class_Oless__eq( 
% 0.97/1.58    X, c_Groups_Ozero__class_Ozero( X ), c_Power_Opower__class_Opower( X, Z, 
% 0.97/1.58    hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ), Y ) ) ) }.
% 0.97/1.58  { ! class_Rings_Oring__1( X ), c_Power_Opower__class_Opower( X, 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( X, c_Groups_Oone__class_Oone( X ) ), 
% 0.97/1.58    hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ), Y ) ) = c_Groups_Oone__class_Oone( X ) }.
% 0.97/1.58  { ! c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ) = X, ! c_Orderings_Oord__class_Oless__eq( 
% 0.97/1.58    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), 
% 0.97/1.58    hAPP( c_NthRoot_Osqrt, X ) = Y }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), 
% 0.97/1.58    c_Power_Opower__class_Opower( tc_RealDef_Oreal, hAPP( c_NthRoot_Osqrt, X
% 0.97/1.58     ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( 
% 0.97/1.58    c_Int_OBit1( c_Int_OPls ) ) ) ) = X }.
% 0.97/1.58  { ! c_Power_Opower__class_Opower( tc_RealDef_Oreal, hAPP( c_NthRoot_Osqrt, 
% 0.97/1.58    X ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( 
% 0.97/1.58    c_Int_OBit1( c_Int_OPls ) ) ) ) = X, c_Orderings_Oord__class_Oless__eq( 
% 0.97/1.58    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ) }
% 0.97/1.58    .
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), 
% 0.97/1.58    c_Power_Opower__class_Opower( tc_RealDef_Oreal, hAPP( c_NthRoot_Osqrt, X
% 0.97/1.58     ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( 
% 0.97/1.58    c_Int_OBit1( c_Int_OPls ) ) ) ) = X }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), 
% 0.97/1.58    c_Power_Opower__class_Opower( tc_RealDef_Oreal, hAPP( c_NthRoot_Osqrt, X
% 0.97/1.58     ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( 
% 0.97/1.58    c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.97/1.58  { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, hAPP( 
% 0.97/1.58    c_NthRoot_Osqrt, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, 
% 0.97/1.58    c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ) ) ) ) }.
% 0.97/1.58  { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, hAPP( 
% 0.97/1.58    c_NthRoot_Osqrt, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, 
% 0.97/1.58    c_Power_Opower__class_Opower( tc_RealDef_Oreal, X, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ) ) ) ) }.
% 0.97/1.58  { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, hAPP( 
% 0.97/1.58    c_NthRoot_Osqrt, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, 
% 0.97/1.58    c_Power_Opower__class_Opower( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, T, Z ), 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ), 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ) ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, 
% 0.97/1.58    hAPP( c_NthRoot_Osqrt, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, 
% 0.97/1.58    c_Power_Opower__class_Opower( tc_RealDef_Oreal, T, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ) ) ), hAPP( c_NthRoot_Osqrt, 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, 
% 0.97/1.58    c_Power_Opower__class_Opower( tc_RealDef_Oreal, Z, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ) ) ) ) ) }.
% 0.97/1.58  { ! hAPP( c_NthRoot_Osqrt, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, 
% 0.97/1.58    c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ) ) ) = Y, X = c_Groups_Ozero__class_Ozero( 
% 0.97/1.58    tc_RealDef_Oreal ) }.
% 0.97/1.58  { ! hAPP( c_NthRoot_Osqrt, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, 
% 0.97/1.58    c_Power_Opower__class_Opower( tc_RealDef_Oreal, X, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ) ) ) = Y, X = c_Groups_Ozero__class_Ozero( 
% 0.97/1.58    tc_RealDef_Oreal ) }.
% 0.97/1.58  { c_Power_Opower__class_Opower( tc_RealDef_Oreal, hAPP( c_NthRoot_Osqrt, 
% 0.97/1.58    hAPP( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, 
% 0.97/1.58    c_Power_Opower__class_Opower( tc_RealDef_Oreal, T, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, Z, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ) ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, 
% 0.97/1.58    c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ) ) ) ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, 
% 0.97/1.58    c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) = hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, 
% 0.97/1.58    c_Power_Opower__class_Opower( tc_RealDef_Oreal, T, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, Z, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ) ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, 
% 0.97/1.58    c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ) ) ) }.
% 0.97/1.58  { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), hAPP( c_NthRoot_Osqrt, 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, 
% 0.97/1.58    c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ) ) ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), 
% 0.97/1.58    c_Power_Opower__class_Opower( tc_RealDef_Oreal, 
% 0.97/1.58    c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal, hAPP( c_NthRoot_Osqrt
% 0.97/1.58    , X ) ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( 
% 0.97/1.58    c_Int_OBit1( c_Int_OPls ) ) ) ) = c_Rings_Oinverse__class_Oinverse( 
% 0.97/1.58    tc_RealDef_Oreal, X ) }.
% 0.97/1.58  { c_Power_Opower__class_Opower( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ), 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ) = c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, 
% 0.97/1.58    c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ) ), hAPP( c_Groups_Otimes__class_Otimes( 
% 0.97/1.58    tc_RealDef_Oreal, hAPP( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0( 
% 0.97/1.58    c_Int_OBit1( c_Int_OPls ) ) ) ), Y ) ), X ) ) }.
% 0.97/1.58  { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.97/1.58    ( X, Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( X ), Z ), ! c_Orderings_Oord__class_Oless( 
% 0.97/1.58    tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), T ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( X, c_Power_Opower__class_Opower( X, Z, T )
% 0.97/1.58    , c_Power_Opower__class_Opower( X, Y, T ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.58    ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, 
% 0.97/1.58    c_Power_Opower__class_Opower( tc_Nat_Onat, X, Z ), 
% 0.97/1.58    c_Power_Opower__class_Opower( tc_Nat_Onat, X, Y ) ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.58    ( tc_Nat_Onat ), c_Power_Opower__class_Opower( tc_Nat_Onat, Y, X ) ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( 
% 0.97/1.58    tc_Nat_Onat ), Y ), X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.58    ( tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Power_Opower__class_Opower
% 0.97/1.58    ( tc_Nat_Onat, Y, X ) ) }.
% 0.97/1.58  { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( 
% 0.97/1.58    tc_Nat_Onat ), c_Power_Opower__class_Opower( tc_Nat_Onat, Y, X ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Power_Opower__class_Opower
% 0.97/1.58    ( tc_Int_Oint, X, Y ) ) }.
% 0.97/1.58  { c_Power_Opower__class_Opower( tc_Int_Oint, Z, c_Groups_Oplus__class_Oplus
% 0.97/1.58    ( tc_Nat_Onat, Y, X ) ) = hAPP( c_Groups_Otimes__class_Otimes( 
% 0.97/1.58    tc_Int_Oint, c_Power_Opower__class_Opower( tc_Int_Oint, Z, Y ) ), 
% 0.97/1.58    c_Power_Opower__class_Opower( tc_Int_Oint, Z, X ) ) }.
% 0.97/1.58  { c_Power_Opower__class_Opower( tc_Int_Oint, c_Power_Opower__class_Opower( 
% 0.97/1.58    tc_Int_Oint, Z, Y ), X ) = c_Power_Opower__class_Opower( tc_Int_Oint, Z, 
% 0.97/1.58    hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y ), X ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.58    ( tc_Nat_Onat ), c_Power_Opower__class_Opower( tc_Nat_Onat, Y, X ) ), X =
% 0.97/1.58     c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( 
% 0.97/1.58    tc_Nat_Onat ), Y ) }.
% 0.97/1.58  { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( 
% 0.97/1.58    tc_Nat_Onat ), c_Power_Opower__class_Opower( tc_Nat_Onat, Y, X ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.58    ( tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Power_Opower__class_Opower
% 0.97/1.58    ( tc_Nat_Onat, Y, X ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.58    ( tc_Nat_Onat ), c_Power_Opower__class_Opower( tc_Nat_Onat, Y, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) ), 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) = 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Orderings_Oord__class_Oless
% 0.97/1.58    ( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y ) }.
% 0.97/1.58  { ! c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) = 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Orderings_Oord__class_Oless
% 0.97/1.58    ( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), 
% 0.97/1.58    c_Power_Opower__class_Opower( tc_Nat_Onat, Y, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.97/1.58    ( tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Power_Opower__class_Opower
% 0.97/1.58    ( tc_Nat_Onat, Y, c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) )
% 0.97/1.58     }.
% 0.97/1.58  { ! class_Rings_Oring__1__no__zero__divisors( X ), Y = 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( X ), ! c_Power_Opower__class_Opower( X, Y, Z
% 0.97/1.58     ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.58  { ! class_Groups_Ocomm__monoid__mult( X ), c_Power_Opower__class_Opower( X
% 0.97/1.58    , hAPP( c_Groups_Otimes__class_Otimes( X, T ), Z ), Y ) = hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( X, c_Power_Opower__class_Opower( X, T, Y )
% 0.97/1.58     ), c_Power_Opower__class_Opower( X, Z, Y ) ) }.
% 0.97/1.58  { ! class_Groups_Omonoid__mult( X ), hAPP( c_Groups_Otimes__class_Otimes( X
% 0.97/1.58    , c_Power_Opower__class_Opower( X, Z, Y ) ), Z ) = hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( X, Z ), c_Power_Opower__class_Opower( X, Z
% 0.97/1.58    , Y ) ) }.
% 0.97/1.58  { ! class_Groups_Omonoid__mult( X ), c_Power_Opower__class_Opower( X, 
% 0.97/1.58    c_Groups_Oone__class_Oone( X ), Y ) = c_Groups_Oone__class_Oone( X ) }.
% 0.97/1.58  { ! class_Fields_Ofield__inverse__zero( X ), c_Power_Opower__class_Opower( 
% 0.97/1.58    X, c_Rings_Oinverse__class_Odivide( X, T, Z ), Y ) = 
% 0.97/1.58    c_Rings_Oinverse__class_Odivide( X, c_Power_Opower__class_Opower( X, T, Y
% 0.97/1.58     ), c_Power_Opower__class_Opower( X, Z, Y ) ) }.
% 0.97/1.58  { ! class_Groups_Omonoid__mult( X ), c_Power_Opower__class_Opower( X, T, 
% 0.97/1.58    hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), Y ) ) = 
% 0.97/1.58    c_Power_Opower__class_Opower( X, c_Power_Opower__class_Opower( X, T, Z )
% 0.97/1.58    , Y ) }.
% 0.97/1.58  { ! class_Rings_Odivision__ring__inverse__zero( X ), 
% 0.97/1.58    c_Rings_Oinverse__class_Oinverse( X, c_Power_Opower__class_Opower( X, Z, 
% 0.97/1.58    Y ) ) = c_Power_Opower__class_Opower( X, c_Rings_Oinverse__class_Oinverse
% 0.97/1.58    ( X, Z ), Y ) }.
% 0.97/1.58  { ! class_Groups_Omonoid__mult( X ), c_Power_Opower__class_Opower( X, Y, 
% 0.97/1.58    c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) = Y }.
% 0.97/1.58  { ! class_Rings_Olinordered__semidom( X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.58     ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.97/1.58     ), c_Power_Opower__class_Opower( X, Y, Z ) ) }.
% 0.97/1.58  { ! class_Rings_Olinordered__semidom( X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.97/1.58     ), c_Orderings_Oord__class_Oless__eq( X, c_Power_Opower__class_Opower( X
% 0.97/1.58    , Z, T ), c_Power_Opower__class_Opower( X, Y, T ) ) }.
% 0.97/1.58  { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.97/1.58    ( X, c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless
% 0.97/1.58    ( X, c_Groups_Ozero__class_Ozero( X ), c_Power_Opower__class_Opower( X, Y
% 0.97/1.58    , Z ) ) }.
% 0.97/1.58  { ! class_Rings_Olinordered__semidom( X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ), Y )
% 0.97/1.58    , c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ), 
% 0.97/1.58    c_Power_Opower__class_Opower( X, Y, Z ) ) }.
% 0.97/1.58  { ! class_Power_Opower( X ), ! class_Rings_Omult__zero( X ), ! 
% 0.97/1.58    class_Rings_Ono__zero__divisors( X ), ! class_Rings_Ozero__neq__one( X )
% 0.97/1.58    , ! c_Power_Opower__class_Opower( X, Z, Y ) = c_Groups_Ozero__class_Ozero
% 0.97/1.58    ( X ), Z = c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.58  { ! class_Power_Opower( X ), ! class_Rings_Omult__zero( X ), ! 
% 0.97/1.58    class_Rings_Ono__zero__divisors( X ), ! class_Rings_Ozero__neq__one( X )
% 0.97/1.58    , ! c_Power_Opower__class_Opower( X, Z, Y ) = c_Groups_Ozero__class_Ozero
% 0.97/1.58    ( X ), ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.97/1.58  { ! class_Power_Opower( X ), ! class_Rings_Omult__zero( X ), ! 
% 0.97/1.58    class_Rings_Ono__zero__divisors( X ), ! class_Rings_Ozero__neq__one( X )
% 0.97/1.58    , ! Z = c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero
% 0.97/1.58    ( tc_Nat_Onat ), c_Power_Opower__class_Opower( X, Z, Y ) = 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( X ) }.
% 0.97/1.58  { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.97/1.58    ( X, c_Groups_Oone__class_Oone( X ), Y ), ! c_Power_Opower__class_Opower
% 0.97/1.58    ( X, Y, T ) = c_Power_Opower__class_Opower( X, Y, Z ), T = Z }.
% 0.97/1.58  { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.97/1.58    ( X, c_Groups_Oone__class_Oone( X ), Y ), ! T = Z, 
% 0.97/1.58    c_Power_Opower__class_Opower( X, Y, T ) = c_Power_Opower__class_Opower( X
% 0.97/1.58    , Y, Z ) }.
% 0.97/1.58  { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), 
% 0.97/1.58    c_Power_Opower__class_Opower( X, c_Rings_Oinverse__class_Odivide( X, T, Y
% 0.97/1.58     ), Z ) = c_Rings_Oinverse__class_Odivide( X, 
% 0.97/1.58    c_Power_Opower__class_Opower( X, T, Z ), c_Power_Opower__class_Opower( X
% 0.97/1.58    , Y, Z ) ) }.
% 0.97/1.58  { ! class_Power_Opower( X ), c_Power_Opower__class_Opower( X, Y, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) = c_Groups_Oone__class_Oone
% 0.97/1.58    ( X ) }.
% 0.97/1.58  { ! class_Groups_Omonoid__mult( X ), c_Power_Opower__class_Opower( X, T, 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) ) = hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( X, c_Power_Opower__class_Opower( X, T, Z )
% 0.97/1.58     ), c_Power_Opower__class_Opower( X, T, Y ) ) }.
% 0.97/1.58  { ! class_Fields_Ofield__inverse__zero( X ), 
% 0.97/1.58    c_Rings_Oinverse__class_Odivide( X, c_Groups_Oone__class_Oone( X ), 
% 0.97/1.58    c_Power_Opower__class_Opower( X, Z, Y ) ) = c_Power_Opower__class_Opower
% 0.97/1.58    ( X, c_Rings_Oinverse__class_Odivide( X, c_Groups_Oone__class_Oone( X ), 
% 0.97/1.58    Z ), Y ) }.
% 0.97/1.58  { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.97/1.58    , c_Rings_Oinverse__class_Oinverse( X, c_Power_Opower__class_Opower( X, Y
% 0.97/1.58    , Z ) ) = c_Power_Opower__class_Opower( X, 
% 0.97/1.58    c_Rings_Oinverse__class_Oinverse( X, Y ), Z ) }.
% 0.97/1.58  { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.97/1.58    ( X, c_Power_Opower__class_Opower( X, Z, T ), 
% 0.97/1.58    c_Power_Opower__class_Opower( X, Y, T ) ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.58     ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.97/1.58  { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.97/1.58    ( X, c_Groups_Oone__class_Oone( X ), Y ), c_Orderings_Oord__class_Oless( 
% 0.97/1.58    X, c_Groups_Oone__class_Oone( X ), hAPP( c_Groups_Otimes__class_Otimes( X
% 0.97/1.58    , Y ), c_Power_Opower__class_Opower( X, Y, Z ) ) ) }.
% 0.97/1.58  { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.97/1.58    ( X, c_Groups_Oone__class_Oone( X ), Y ), c_Orderings_Oord__class_Oless( 
% 0.97/1.58    X, c_Power_Opower__class_Opower( X, Y, Z ), hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( X, Y ), c_Power_Opower__class_Opower( X, Y
% 0.97/1.58    , Z ) ) ) }.
% 0.97/1.58  { ! class_Power_Opower( X ), ! class_Rings_Osemiring__0( X ), ! Y = 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Power_Opower__class_Opower
% 0.97/1.58    ( X, c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Oone__class_Oone( X
% 0.97/1.58     ) }.
% 0.97/1.58  { ! class_Power_Opower( X ), ! class_Rings_Osemiring__0( X ), Y = 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Power_Opower__class_Opower
% 0.97/1.58    ( X, c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ozero__class_Ozero
% 0.97/1.58    ( X ) }.
% 0.97/1.58  { ! class_Rings_Oring__1( X ), c_Power_Opower__class_Opower( X, 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( X, Z ), Y ) = hAPP( 
% 0.97/1.58    c_Groups_Otimes__class_Otimes( X, c_Power_Opower__class_Opower( X, 
% 0.97/1.58    c_Groups_Ouminus__class_Ouminus( X, c_Groups_Oone__class_Oone( X ) ), Y )
% 0.97/1.58     ), c_Power_Opower__class_Opower( X, Z, Y ) ) }.
% 0.97/1.58  { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.97/1.58    ( X, c_Groups_Oone__class_Oone( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.58    ( X, c_Power_Opower__class_Opower( X, Y, T ), 
% 0.97/1.58    c_Power_Opower__class_Opower( X, Y, Z ) ), c_Orderings_Oord__class_Oless
% 0.97/1.58    ( tc_Nat_Onat, T, Z ) }.
% 0.97/1.58  { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.97/1.58    ( X, c_Groups_Oone__class_Oone( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.58    ( tc_Nat_Onat, T, Z ), c_Orderings_Oord__class_Oless( X, 
% 0.97/1.58    c_Power_Opower__class_Opower( X, Y, T ), c_Power_Opower__class_Opower( X
% 0.97/1.58    , Y, Z ) ) }.
% 0.97/1.58  { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.97/1.58    ( X, c_Groups_Oone__class_Oone( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.58    ( X, c_Power_Opower__class_Opower( X, Y, T ), 
% 0.97/1.58    c_Power_Opower__class_Opower( X, Y, Z ) ), c_Orderings_Oord__class_Oless
% 0.97/1.58    ( tc_Nat_Onat, T, Z ) }.
% 0.97/1.58  { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.97/1.58    ( tc_Nat_Onat, Z, Y ), ! c_Orderings_Oord__class_Oless( X, 
% 0.97/1.58    c_Groups_Oone__class_Oone( X ), T ), c_Orderings_Oord__class_Oless( X, 
% 0.97/1.58    c_Power_Opower__class_Opower( X, T, Z ), c_Power_Opower__class_Opower( X
% 0.97/1.58    , T, Y ) ) }.
% 0.97/1.58  { ! class_Rings_Olinordered__semidom( X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, Y ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ), T )
% 0.97/1.58    , c_Orderings_Oord__class_Oless__eq( X, c_Power_Opower__class_Opower( X, 
% 0.97/1.58    T, Z ), c_Power_Opower__class_Opower( X, T, Y ) ) }.
% 0.97/1.58  { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.97/1.58    ( X, c_Groups_Ozero__class_Ozero( X ), Y ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless( X, Y, c_Groups_Oone__class_Oone( X ) ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( X, hAPP( c_Groups_Otimes__class_Otimes( X
% 0.97/1.58    , Y ), c_Power_Opower__class_Opower( X, Y, Z ) ), 
% 0.97/1.58    c_Power_Opower__class_Opower( X, Y, Z ) ) }.
% 0.97/1.58  { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.97/1.58    ( tc_Nat_Onat, Z, Y ), ! c_Orderings_Oord__class_Oless( X, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( X ), T ), ! c_Orderings_Oord__class_Oless( X
% 0.97/1.58    , T, c_Groups_Oone__class_Oone( X ) ), c_Orderings_Oord__class_Oless( X, 
% 0.97/1.58    c_Power_Opower__class_Opower( X, T, Y ), c_Power_Opower__class_Opower( X
% 0.97/1.58    , T, Z ) ) }.
% 0.97/1.58  { ! class_Rings_Olinordered__semidom( X ), ! c_Power_Opower__class_Opower( 
% 0.97/1.58    X, T, Z ) = c_Power_Opower__class_Opower( X, Y, Z ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.97/1.58     ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( 
% 0.97/1.58    X ), Y ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, 
% 0.97/1.58    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Z ), T = Y }.
% 0.97/1.58  { ! class_Rings_Olinordered__semidom( X ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, Y ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.97/1.58     ), ! c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Oone__class_Oone
% 0.97/1.58    ( X ) ), c_Orderings_Oord__class_Oless__eq( X, 
% 0.97/1.58    c_Power_Opower__class_Opower( X, T, Y ), c_Power_Opower__class_Opower( X
% 0.97/1.58    , T, Z ) ) }.
% 0.97/1.58  { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.97/1.58    ( X, c_Groups_Oone__class_Oone( X ), Y ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( X, c_Power_Opower__class_Opower( X, Y
% 0.97/1.58    , T ), c_Power_Opower__class_Opower( X, Y, Z ) ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, Z ) }.
% 0.97/1.58  { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.97/1.58    ( X, c_Groups_Oone__class_Oone( X ), Y ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, Z ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( X, c_Power_Opower__class_Opower( X, Y
% 0.97/1.58    , T ), c_Power_Opower__class_Opower( X, Y, Z ) ) }.
% 0.97/1.58  { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.97/1.58    ( X, c_Groups_Oone__class_Oone( X ), Y ), ! 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( X, c_Power_Opower__class_Opower( X, Y
% 0.97/1.58    , T ), c_Power_Opower__class_Opower( X, Y, Z ) ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, Z ) }.
% 0.97/1.58  { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.97/1.58    ( X, c_Groups_Oone__class_Oone( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.58    ( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Z ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ), 
% 0.97/1.58    c_Power_Opower__class_Opower( X, Y, Z ) ) }.
% 0.97/1.58  { c_Power_Opower__class_Opower( tc_Complex_Ocomplex, 
% 0.97/1.58    c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt( X ), 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ) = X }.
% 0.97/1.58  { hAPP( c_Transcendental_Oarctan, X ) = hAPP( c_Groups_Otimes__class_Otimes
% 0.97/1.58    ( tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, 
% 0.97/1.58    c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ), hAPP( 
% 0.97/1.58    c_Transcendental_Oarctan, c_Rings_Oinverse__class_Odivide( 
% 0.97/1.58    tc_RealDef_Oreal, X, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, 
% 0.97/1.58    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), hAPP( c_NthRoot_Osqrt, 
% 0.97/1.58    c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oone__class_Oone
% 0.97/1.58    ( tc_RealDef_Oreal ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X, 
% 0.97/1.58    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.58    c_Int_OPls ) ) ) ) ) ) ) ) ) ) }.
% 0.97/1.58  { hAPP( c_Transcendental_Oarctan, c_Groups_Ozero__class_Ozero( 
% 0.97/1.58    tc_RealDef_Oreal ) ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }
% 0.97/1.58    .
% 0.97/1.58  { hAPP( c_Transcendental_Oarctan, c_Groups_Ouminus__class_Ouminus( 
% 0.97/1.58    tc_RealDef_Oreal, X ) ) = c_Groups_Ouminus__class_Ouminus( 
% 0.97/1.58    tc_RealDef_Oreal, hAPP( c_Transcendental_Oarctan, X ) ) }.
% 0.97/1.58  { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ), 
% 0.97/1.58    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, hAPP( 
% 0.97/1.59    c_Transcendental_Oarctan, Y ), hAPP( c_Transcendental_Oarctan, X ) ) }.
% 0.97/1.59  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ), 
% 0.97/1.59    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, hAPP( 
% 0.97/1.59    c_Transcendental_Oarctan, Y ), hAPP( c_Transcendental_Oarctan, X ) ) }.
% 0.97/1.59  { c_Deriv_Oderiv( tc_RealDef_Oreal, c_Transcendental_Oarctan, X, 
% 0.97/1.59    c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal, 
% 0.97/1.59    c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oone__class_Oone
% 0.97/1.59    ( tc_RealDef_Oreal ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X, 
% 0.97/1.59    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.59    c_Int_OPls ) ) ) ) ) ) ) }.
% 0.97/1.59  { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 0.97/1.59    c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, 
% 0.97/1.59    c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, hAPP( 
% 0.97/1.59    c_NthRoot_Osqrt, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, 
% 0.97/1.59    c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y, 
% 0.97/1.59    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.59    c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X, 
% 0.97/1.59    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.59    c_Int_OPls ) ) ) ) ) ) ) ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal )
% 0.97/1.59     ) }.
% 0.97/1.59  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.59    c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Y ), 
% 0.97/1.59    c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X, hAPP( 
% 0.97/1.59    c_NthRoot_Osqrt, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, 
% 0.97/1.59    c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) ), ! 
% 0.97/1.59    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 0.97/1.59    c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Z ), 
% 0.97/1.59    c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X, hAPP( 
% 0.97/1.59    c_NthRoot_Osqrt, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, 
% 0.97/1.59    c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) ), 
% 0.97/1.59    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, hAPP( c_NthRoot_Osqrt, 
% 0.97/1.59    c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, 
% 0.97/1.59    c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y, 
% 0.97/1.59    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.59    c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, Z, 
% 0.97/1.59    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 0.97/1.59    c_Int_OPls ) ) ) ) ) ), X ) }.
% 0.97/1.59  { ! class_Rings_Olinordered__idom( X ), c_Orderings_Oord__class_Oless__eq( 
% 0.97/1.59    X, c_Groups_Ozero__class_Ozero( X ), c_Power_Opower__class_Opower( X, 
% 0.97/1.59    c_Groups_Oabs__class_Oabs( X, Z ), Y ) ) }.
% 0.97/1.59  { ! class_Rings_Olinordered__idom( X ), c_Groups_Oabs__class_Oabs( X, 
% 0.97/1.59    c_Power_Opower__class_Opower( X, Z, Y ) ) = c_Power_Opower__class_Opower
% 0.97/1.59    ( X, c_Groups_Oabs__class_Oabs( X, Z ), Y ) }.
% 0.97/1.59  { ! class_Rings_Olinordered__idom( X ), c_Groups_Oabs__class_Oabs( X, 
% 0.97/1.59    c_Power_Opower__class_Opower( X, c_Groups_Ouminus__class_Ouminus( X, Z )
% 0.97/1.59    , Y ) ) = c_Groups_Oabs__class_Oabs( X, c_Power_Opower__class_Opower( X, 
% 0.97/1.59    Z, Y ) ) }.
% 0.97/1.59  { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, 
% 0.97/1.59    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), ! 
% 0.97/1.59    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 0.97/1.59    c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Y ), hAPP( 
% 0.97/1.59    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X ), 
% 0.97/1.59    c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Z ) ) ), Y = 
% 0.97/1.59    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.97/1.59  { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq
% 0.97/1.59    ( X, c_Groups_Ozero__class_Ozero( X ), Y ), hAPP( 
% 0.97/1.59    c_Groups_Otimes__class_Otimes( X, c_Groups_Oabs__class_Oabs( X, Z ) ), Y
% 0.97/1.59     ) = c_Groups_Oabs__class_Oabs( X, hAPP( c_Groups_Otimes__class_Otimes( X
% 0.97/1.59    , Z ), Y ) ) }.
% 0.97/1.59  { ! class_Rings_Oordered__ring__abs( X ), alpha94( X, Z ), ! 
% 0.97/1.59    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.59     ), c_Groups_Oabs__class_Oabs( X, hAPP( c_Groups_Otimes__class_Otimes( X
% 0.97/1.59    , Z ), Y ) ) = hAPP( c_Groups_Otimes__class_Otimes( X, 
% 0.97/1.59    c_Groups_Oabs__class_Oabs( X, Z ) ), c_Groups_Oabs__class_Oabs( X, Y ) )
% 0.97/1.59     }.
% 0.97/1.59  { ! class_Rings_Oordered__ring__abs( X ), alpha94( X, Z ), ! 
% 0.97/1.59    c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.59     ), c_Groups_Oabs__class_Oabs( X, hAPP( c_Groups_Otimes__class_Otimes( X
% 0.97/1.59    , Z ), Y ) ) = hAPP( c_Groups_Otimes__class_Otimes( X, 
% 0.97/1.59    c_Groups_Oabs__class_Oabs( X, Z ) ), c_Groups_Oabs__class_Oabs( X, Y ) )
% 0.97/1.59     }.
% 0.97/1.59  { ! alpha94( X, Y ), ! c_Orderings_Oord__class_Oless__eq( X, 
% 0.97/1.59    c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.97/1.59  { ! alpha94( X, Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, 
% 0.97/1.59    c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.97/1.59  { c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.97/1.59     ), c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero
% 0.97/1.59    ( X ) ), alpha94( X, Y ) }.
% 0.97/1.59  { ! class_Groups_Oordered__ab__group__add__abs( X ), ! 
% 0.97/1.59    c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.97/1.59     ), c_Groups_Oabs__class_Oabs( X, Y ) = c_Groups_Ouminus__class_Ouminus( 
% 0.97/1.59    X, Y ) }.
% 0.97/1.59  { ! class_Groups_Oordered__ab__group__add__abs( X ), 
% 0.97/1.59    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.97/1.59    , c_Groups_Oabs__class_Oabs( X, Y ) ), c_Groups_Ozero__class_Ozero( X ) )
% 0.97/1.59     }.
% 0.97/1.59  { ! class_Groups_Oordered__ab__group__add__abs( X ), ! 
% 0.97/1.59    c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ), 
% 0.97/1.59    c_Groups_Oabs__class_Oabs( X, Y ) = c_Groups_Ouminus__class_Ouminus( X, Y
% 0.97/1.59     ) }.
% 0.97/1.59  { ! class_Groups_Oabs__if( X ), ! c_Orderings_Oord__class_Oless( X, Y, 
% 0.97/1.59    c_Groups_Ozero__class_Ozero( X ) ), c_Groups_Oabs__class_Oabs( X, Y ) = 
% 0.97/1.59    c_Groups_Ouminus__class_Ouminus( X, Y ) }.
% 0.97/1.59  { ! class_Groups_Oabs__if( X ), c_Orderings_Oord__class_Oless( X, Y, 
% 0.97/1.59    c_Groups_Ozero__class_Ozero( X ) ), c_Groups_Oabs__class_Oabs( X, Y ) = Y
% 0.97/1.59     }.
% 0.97/1.59  { ! class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 0.97/1.59    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ), 
% 0.97/1.59    c_Rings_Oinverse__class_Odivide( X, c_Groups_Oabs__class_Oabs( X, Z ), Y
% 0.97/1.59     ) = c_Groups_Oabs__class_Oabs( X, c_Rings_Oinverse__class_Odivide( X, Z
% 0.97/1.59    , Y ) ) }.
% 0.97/1.59  { ! class_Rings_Olinordered__idom( X ), c_Groups_Oabs__class_Oabs( X, 
% 0.97/1.59    c_Groups_Oone__class_Oone( X ) ) = c_Groups_Oone__class_Oone( X ) }.
% 0.97/1.59  { c_Groups_Osgn__class_Osgn( tc_RealDef_Oreal, X ) = 
% 0.97/1.59    c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X, 
% 0.97/1.59    c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) ) }.
% 0.97/1.59  { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.97/1.59    , c_Groups_Oabs__class_Oabs( X, Z ), Y ), ! c_Orderings_Oord__class_Oless
% 0.97/1.59    ( X, c_Groups_Oabs__class_Oabs( X, U ), T ), 
% 0.97/1.59    c_Orderings_Oord__class_Oless( X, hAPP( c_Groups_Otimes__class_Otimes( X
% 0.97/1.59    , c_Groups_Oabs__class_Oabs( X, Z ) ), c_Groups_Oabs__class_Oabs( X, U )
% 0.97/1.59     ), hAPP( c_Groups_Otimes__class_Otimes( X, Y ), T ) ) }.
% 0.97/1.59  { ! class_Lattices_Oboolean__algebra( X ), class_Lattices_Oboolean__algebra
% 0.97/1.59    ( tc_fun( Y, X ) ) }.
% 0.97/1.59  { ! class_Orderings_Opreorder( X ), class_Orderings_Opreorder( tc_fun( Y, X
% 0.97/1.59     ) ) }.
% 0.97/1.59  { ! class_Orderings_Oorder( X ), class_Orderings_Oorder( tc_fun( Y, X ) ) }
% 0.97/1.59    .
% 0.97/1.59  { ! class_Orderings_Oord( X ), class_Orderings_Oord( tc_fun( Y, X ) ) }.
% 0.97/1.59  { ! class_Groups_Ouminus( X ), class_Groups_Ouminus( tc_fun( Y, X ) ) }.
% 0.97/1.59  { class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct( 
% 0.97/1.59    tc_Int_Oint ) }.
% 0.97/1.59  { class_Groups_Oordered__cancel__ab__semigroup__add( tc_Int_Oint ) }.
% 0.97/1.59  { class_Groups_Oordered__ab__semigroup__add__imp__le( tc_Int_Oint ) }.
% 0.97/1.59  { class_Rings_Olinordered__comm__semiring__strict( tc_Int_Oint ) }.
% 0.97/1.59  { class_Rings_Olinordered__semiring__1__strict( tc_Int_Oint ) }.
% 0.97/1.59  { class_Rings_Olinordered__semiring__strict( tc_Int_Oint ) }.
% 0.97/1.59  { class_Groups_Oordered__ab__semigroup__add( tc_Int_Oint ) }.
% 0.97/1.59  { class_Groups_Oordered__ab__group__add__abs( tc_Int_Oint ) }.
% 0.97/1.59  { class_Groups_Oordered__comm__monoid__add( tc_Int_Oint ) }.
% 0.97/1.59  { class_Groups_Olinordered__ab__group__add( tc_Int_Oint ) }.
% 0.97/1.59  { class_Groups_Ocancel__ab__semigroup__add( tc_Int_Oint ) }.
% 0.97/1.59  { class_Rings_Oring__1__no__zero__divisors( tc_Int_Oint ) }.
% 0.97/1.59  { class_Rings_Oordered__cancel__semiring( tc_Int_Oint ) }.
% 0.97/1.59  { class_Rings_Olinordered__ring__strict( tc_Int_Oint ) }.
% 0.97/1.59  { class_Rings_Oring__no__zero__divisors( tc_Int_Oint ) }.
% 0.97/1.59  { class_Rings_Oordered__comm__semiring( tc_Int_Oint ) }.
% 0.97/1.59  { class_Rings_Olinordered__semiring__1( tc_Int_Oint ) }.
% 0.97/1.59  { class_Groups_Oordered__ab__group__add( tc_Int_Oint ) }.
% 0.97/1.59  { class_Groups_Ocancel__semigroup__add( tc_Int_Oint ) }.
% 0.97/1.59  { class_Rings_Olinordered__semiring( tc_Int_Oint ) }.
% 0.97/1.59  { class_Rings_Olinordered__semidom( tc_Int_Oint ) }.
% 0.97/1.59  { class_Groups_Oab__semigroup__mult( tc_Int_Oint ) }.
% 0.97/1.59  { class_Groups_Ocomm__monoid__mult( tc_Int_Oint ) }.
% 0.97/1.59  { class_Groups_Oab__semigroup__add( tc_Int_Oint ) }.
% 0.97/1.59  { class_Rings_Oordered__semiring( tc_Int_Oint ) }.
% 0.97/1.59  { class_Rings_Oordered__ring__abs( tc_Int_Oint ) }.
% 0.97/1.59  { class_Rings_Ono__zero__divisors( tc_Int_Oint ) }.
% 0.97/1.59  { class_Groups_Ocomm__monoid__add( tc_Int_Oint ) }.
% 0.97/1.59  { class_Rings_Olinordered__ring( tc_Int_Oint ) }.
% 0.97/1.59  { class_Rings_Olinordered__idom( tc_Int_Oint ) }.
% 0.97/1.59  { class_Rings_Ocomm__semiring__1( tc_Int_Oint ) }.
% 0.97/1.59  { class_Rings_Ocomm__semiring( tc_Int_Oint ) }.
% 0.97/1.59  { class_Groups_Oab__group__add( tc_Int_Oint ) }.
% 0.97/1.59  { class_Rings_Ozero__neq__one( tc_Int_Oint ) }.
% 0.97/1.59  { class_Rings_Oordered__ring( tc_Int_Oint ) }.
% 0.97/1.59  { class_Orderings_Opreorder( tc_Int_Oint ) }.
% 0.97/1.59  { class_Orderings_Olinorder( tc_Int_Oint ) }.
% 0.97/1.59  { class_Groups_Omonoid__mult( tc_Int_Oint ) }.
% 0.97/1.59  { class_Rings_Ocomm__ring__1( tc_Int_Oint ) }.
% 0.97/1.59  { class_Groups_Omonoid__add( tc_Int_Oint ) }.
% 0.97/1.59  { class_Rings_Osemiring__1( tc_Int_Oint ) }.
% 0.97/1.59  { class_Rings_Osemiring__0( tc_Int_Oint ) }.
% 0.97/1.59  { class_Groups_Ogroup__add( tc_Int_Oint ) }.
% 0.97/1.59  { class_Rings_Omult__zero( tc_Int_Oint ) }.
% 0.97/1.59  { class_Orderings_Oorder( tc_Int_Oint ) }.
% 0.97/1.59  { class_Int_Oring__char__0( tc_Int_Oint ) }.
% 0.97/1.59  { class_Int_Onumber__ring( tc_Int_Oint ) }.
% 0.97/1.59  { class_Rings_Osemiring( tc_Int_Oint ) }.
% 0.97/1.59  { class_Orderings_Oord( tc_Int_Oint ) }.
% 0.97/1.59  { class_Groups_Ouminus( tc_Int_Oint ) }.
% 0.97/1.59  { class_Groups_Osgn__if( tc_Int_Oint ) }.
% 0.97/1.59  { class_Groups_Oabs__if( tc_Int_Oint ) }.
% 0.97/1.59  { class_Rings_Oring__1( tc_Int_Oint ) }.
% 0.97/1.59  { class_Power_Opower( tc_Int_Oint ) }.
% 0.97/1.59  { class_Groups_Ozero( tc_Int_Oint ) }.
% 0.97/1.59  { class_Rings_Oring( tc_Int_Oint ) }.
% 0.97/1.59  { class_Rings_Oidom( tc_Int_Oint ) }.
% 0.97/1.59  { class_Int_Onumber( tc_Int_Oint ) }.
% 0.97/1.59  { class_Groups_Oone( tc_Int_Oint ) }.
% 0.97/1.59  { class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct( 
% 0.97/1.59    tc_Nat_Onat ) }.
% 0.97/1.59  { class_Groups_Oordered__cancel__ab__semigroup__add( tc_Nat_Onat ) }.
% 0.97/1.59  { class_Groups_Oordered__ab__semigroup__add__imp__le( tc_Nat_Onat ) }.
% 0.97/1.59  { class_Rings_Olinordered__comm__semiring__strict( tc_Nat_Onat ) }.
% 0.97/1.59  { class_Rings_Olinordered__semiring__strict( tc_Nat_Onat ) }.
% 0.97/1.59  { class_Groups_Oordered__ab__semigroup__add( tc_Nat_Onat ) }.
% 0.97/1.59  { class_Groups_Oordered__comm__monoid__add( tc_Nat_Onat ) }.
% 0.97/1.59  { class_Groups_Ocancel__ab__semigroup__add( tc_Nat_Onat ) }.
% 0.97/1.59  { class_Rings_Oordered__cancel__semiring( tc_Nat_Onat ) }.
% 0.97/1.59  { class_Rings_Oordered__comm__semiring( tc_Nat_Onat ) }.
% 0.97/1.59  { class_Groups_Ocancel__semigroup__add( tc_Nat_Onat ) }.
% 0.97/1.59  { class_Rings_Olinordered__semiring( tc_Nat_Onat ) }.
% 0.97/1.59  { class_Rings_Olinordered__semidom( tc_Nat_Onat ) }.
% 0.97/1.59  { class_Groups_Oab__semigroup__mult( tc_Nat_Onat ) }.
% 0.97/1.59  { class_Groups_Ocomm__monoid__mult( tc_Nat_Onat ) }.
% 0.97/1.59  { class_Groups_Oab__semigroup__add( tc_Nat_Onat ) }.
% 0.97/1.59  { class_Rings_Oordered__semiring( tc_Nat_Onat ) }.
% 0.97/1.59  { class_Rings_Ono__zero__divisors( tc_Nat_Onat ) }.
% 0.97/1.59  { class_Groups_Ocomm__monoid__add( tc_Nat_Onat ) }.
% 0.97/1.59  { class_Rings_Ocomm__semiring__1( tc_Nat_Onat ) }.
% 0.97/1.59  { class_Rings_Ocomm__semiring( tc_Nat_Onat ) }.
% 0.97/1.59  { class_Rings_Ozero__neq__one( tc_Nat_Onat ) }.
% 0.97/1.59  { class_Orderings_Opreorder( tc_Nat_Onat ) }.
% 0.97/1.59  { class_Orderings_Olinorder( tc_Nat_Onat ) }.
% 0.97/1.59  { class_Groups_Omonoid__mult( tc_Nat_Onat ) }.
% 0.97/1.59  { class_Groups_Omonoid__add( tc_Nat_Onat ) }.
% 0.97/1.59  { class_Rings_Osemiring__1( tc_Nat_Onat ) }.
% 0.97/1.59  { class_Rings_Osemiring__0( tc_Nat_Onat ) }.
% 0.97/1.59  { class_Rings_Omult__zero( tc_Nat_Onat ) }.
% 0.97/1.59  { class_Orderings_Oorder( tc_Nat_Onat ) }.
% 0.97/1.59  { class_Rings_Osemiring( tc_Nat_Onat ) }.
% 0.97/1.59  { class_Orderings_Oord( tc_Nat_Onat ) }.
% 0.97/1.59  { class_Power_Opower( tc_Nat_Onat ) }.
% 0.97/1.59  { class_Groups_Ozero( tc_Nat_Onat ) }.
% 0.97/1.59  { class_Int_Onumber( tc_Nat_Onat ) }.
% 0.97/1.59  { class_Groups_Oone( tc_Nat_Onat ) }.
% 0.97/1.59  { class_Lattices_Oboolean__algebra( tc_HOL_Obool ) }.
% 0.97/1.59  { class_Orderings_Opreorder( tc_HOL_Obool ) }.
% 0.97/1.59  { class_Orderings_Oorder( tc_HOL_Obool ) }.
% 0.97/1.59  { class_Orderings_Oord( tc_HOL_Obool ) }.
% 0.97/1.59  { class_Groups_Ouminus( tc_HOL_Obool ) }.
% 0.97/1.59  { class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct( 
% 0.97/1.59    tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_Groups_Oordered__cancel__ab__semigroup__add( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_Groups_Oordered__ab__semigroup__add__imp__le( tc_RealDef_Oreal ) }
% 0.97/1.59    .
% 0.97/1.59  { class_Rings_Olinordered__comm__semiring__strict( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_Fields_Olinordered__field__inverse__zero( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_Rings_Olinordered__semiring__1__strict( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_RealVector_Oreal__normed__div__algebra( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_Rings_Olinordered__semiring__strict( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_Rings_Odivision__ring__inverse__zero( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_RealVector_Oreal__normed__algebra__1( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_Groups_Oordered__ab__semigroup__add( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_Groups_Oordered__ab__group__add__abs( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_RealVector_Oreal__normed__algebra( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_Groups_Oordered__comm__monoid__add( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_Groups_Olinordered__ab__group__add( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_Groups_Ocancel__ab__semigroup__add( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_Rings_Oring__1__no__zero__divisors( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_Rings_Oordered__cancel__semiring( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_RealVector_Oreal__normed__vector( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_Rings_Olinordered__ring__strict( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_RealVector_Oreal__normed__field( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_Rings_Oring__no__zero__divisors( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_Rings_Oordered__comm__semiring( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_Rings_Olinordered__semiring__1( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_Groups_Oordered__ab__group__add( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_Groups_Ocancel__semigroup__add( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_Rings_Olinordered__semiring( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_Fields_Ofield__inverse__zero( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_Rings_Olinordered__semidom( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_Groups_Oab__semigroup__mult( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_Groups_Ocomm__monoid__mult( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_Groups_Oab__semigroup__add( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_Fields_Olinordered__field( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_Rings_Oordered__semiring( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_Rings_Oordered__ring__abs( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_Rings_Ono__zero__divisors( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_Groups_Ocomm__monoid__add( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_Rings_Olinordered__ring( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_Rings_Olinordered__idom( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_Rings_Ocomm__semiring__1( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_Rings_Odivision__ring( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_Rings_Ocomm__semiring( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_Groups_Oab__group__add( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_Rings_Ozero__neq__one( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_Rings_Oordered__ring( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_Orderings_Opreorder( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_Orderings_Olinorder( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_Groups_Omonoid__mult( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_Rings_Ocomm__ring__1( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_Groups_Omonoid__add( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_Rings_Osemiring__1( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_Rings_Osemiring__0( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_Groups_Ogroup__add( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_Rings_Omult__zero( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_Orderings_Oorder( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_Int_Oring__char__0( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_Int_Onumber__ring( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_Rings_Osemiring( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_Orderings_Oord( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_Groups_Ouminus( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_Groups_Osgn__if( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_Groups_Oabs__if( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_Rings_Oring__1( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_Fields_Ofield( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_Power_Opower( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_Groups_Ozero( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_SEQ_Obanach( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_Rings_Oring( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_Rings_Oidom( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_Int_Onumber( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_Groups_Oone( tc_RealDef_Oreal ) }.
% 0.97/1.59  { class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct( 
% 0.97/1.59    tc_Complex_Ocomplex ) }.
% 0.97/1.59  { class_RealVector_Oreal__normed__div__algebra( tc_Complex_Ocomplex ) }.
% 0.97/1.59  { class_Rings_Odivision__ring__inverse__zero( tc_Complex_Ocomplex ) }.
% 0.97/1.59  { class_RealVector_Oreal__normed__algebra__1( tc_Complex_Ocomplex ) }.
% 0.97/1.59  { class_RealVector_Oreal__normed__algebra( tc_Complex_Ocomplex ) }.
% 0.97/1.59  { class_Groups_Ocancel__ab__semigroup__add( tc_Complex_Ocomplex ) }.
% 0.97/1.59  { class_Rings_Oring__1__no__zero__divisors( tc_Complex_Ocomplex ) }.
% 0.97/1.59  { class_RealVector_Oreal__normed__vector( tc_Complex_Ocomplex ) }.
% 0.97/1.59  { class_RealVector_Oreal__normed__field( tc_Complex_Ocomplex ) }.
% 0.97/1.59  { class_Rings_Oring__no__zero__divisors( tc_Complex_Ocomplex ) }.
% 0.97/1.59  { class_Groups_Ocancel__semigroup__add( tc_Complex_Ocomplex ) }.
% 0.97/1.59  { class_Fields_Ofield__inverse__zero( tc_Complex_Ocomplex ) }.
% 0.97/1.59  { class_Groups_Oab__semigroup__mult( tc_Complex_Ocomplex ) }.
% 0.97/1.59  { class_Groups_Ocomm__monoid__mult( tc_Complex_Ocomplex ) }.
% 0.97/1.59  { class_Groups_Oab__semigroup__add( tc_Complex_Ocomplex ) }.
% 0.97/1.59  { class_Rings_Ono__zero__divisors( tc_Complex_Ocomplex ) }.
% 0.97/1.59  { class_Groups_Ocomm__monoid__add( tc_Complex_Ocomplex ) }.
% 0.97/1.59  { class_Rings_Ocomm__semiring__1( tc_Complex_Ocomplex ) }.
% 0.97/1.59  { class_Rings_Odivision__ring( tc_Complex_Ocomplex ) }.
% 0.97/1.59  { class_Rings_Ocomm__semiring( tc_Complex_Ocomplex ) }.
% 0.97/1.59  { class_Groups_Oab__group__add( tc_Complex_Ocomplex ) }.
% 0.97/1.59  { class_Rings_Ozero__neq__one( tc_Complex_Ocomplex ) }.
% 0.97/1.59  { class_Groups_Omonoid__mult( tc_Complex_Ocomplex ) }.
% 0.97/1.59  { class_Rings_Ocomm__ring__1( tc_Complex_Ocomplex ) }.
% 0.97/1.59  { class_Groups_Omonoid__add( tc_Complex_Ocomplex ) }.
% 0.97/1.59  { class_Rings_Osemiring__1( tc_Complex_Ocomplex ) }.
% 0.97/1.59  { class_Rings_Osemiring__0( tc_Complex_Ocomplex ) }.
% 0.97/1.59  { class_Groups_Ogroup__add( tc_Complex_Ocomplex ) }.
% 0.97/1.59  { class_Rings_Omult__zero( tc_Complex_Ocomplex ) }.
% 0.97/1.59  { class_Int_Oring__char__0( tc_Complex_Ocomplex ) }.
% 0.97/1.59  { class_Int_Onumber__ring( tc_Complex_Ocomplex ) }.
% 0.97/1.59  { class_Rings_Osemiring( tc_Complex_Ocomplex ) }.
% 0.97/1.59  { class_Groups_Ouminus( tc_Complex_Ocomplex ) }.
% 0.97/1.59  { class_Rings_Oring__1( tc_Complex_Ocomplex ) }.
% 0.97/1.59  { class_Fields_Ofield( tc_Complex_Ocomplex ) }.
% 0.97/1.59  { class_Power_Opower( tc_Complex_Ocomplex ) }.
% 0.97/1.59  { class_Groups_Ozero( tc_Complex_Ocomplex ) }.
% 0.97/1.59  { class_SEQ_Obanach( tc_Complex_Ocomplex ) }.
% 0.97/1.59  { class_Rings_Oring( tc_Complex_Ocomplex ) }.
% 0.97/1.59  { class_Rings_Oidom( tc_Complex_Ocomplex ) }.
% 0.97/1.59  { class_Int_Onumber( tc_Complex_Ocomplex ) }.
% 0.97/1.59  { class_Groups_Oone( tc_Complex_Ocomplex ) }.
% 0.97/1.59  { class_Groups_Oordered__cancel__ab__semigroup__add( 
% 0.97/1.59    tc_Code__Numeral_Ocode__numeral ) }.
% 0.97/1.59  { class_Groups_Oordered__ab__semigroup__add__imp__le( 
% 0.97/1.59    tc_Code__Numeral_Ocode__numeral ) }.
% 0.97/1.59  { class_Rings_Olinordered__comm__semiring__strict( 
% 0.97/1.59    tc_Code__Numeral_Ocode__numeral ) }.
% 0.97/1.59  { class_Rings_Olinordered__semiring__strict( 
% 0.97/1.59    tc_Code__Numeral_Ocode__numeral ) }.
% 0.97/1.59  { class_Groups_Oordered__ab__semigroup__add( 
% 0.97/1.59    tc_Code__Numeral_Ocode__numeral ) }.
% 0.97/1.59  { class_Groups_Oordered__comm__monoid__add( tc_Code__Numeral_Ocode__numeral
% 0.97/1.59     ) }.
% 0.97/1.59  { class_Groups_Ocancel__ab__semigroup__add( tc_Code__Numeral_Ocode__numeral
% 0.97/1.59     ) }.
% 0.97/1.59  { class_Rings_Oordered__cancel__semiring( tc_Code__Numeral_Ocode__numeral )
% 0.97/1.59     }.
% 0.97/1.59  { class_Rings_Oordered__comm__semiring( tc_Code__Numeral_Ocode__numeral ) }
% 0.97/1.59    .
% 0.97/1.59  { class_Groups_Ocancel__semigroup__add( tc_Code__Numeral_Ocode__numeral ) }
% 0.97/1.59    .
% 0.97/1.59  { class_Rings_Olinordered__semiring( tc_Code__Numeral_Ocode__numeral ) }.
% 0.97/1.59  { class_Rings_Olinordered__semidom( tc_Code__Numeral_Ocode__numeral ) }.
% 0.97/1.59  { class_Groups_Oab__semigroup__mult( tc_Code__Numeral_Ocode__numeral ) }.
% 0.97/1.59  { class_Groups_Ocomm__monoid__mult( tc_Code__Numeral_Ocode__numeral ) }.
% 0.97/1.59  { class_Groups_Oab__semigroup__add( tc_Code__Numeral_Ocode__numeral ) }.
% 0.97/1.59  { class_Rings_Oordered__semiring( tc_Code__Numeral_Ocode__numeral ) }.
% 0.97/1.59  { class_Rings_Ono__zero__divisors( tc_Code__Numeral_Ocode__numeral ) }.
% 0.97/1.59  { class_Groups_Ocomm__monoid__add( tc_Code__Numeral_Ocode__numeral ) }.
% 0.97/1.59  { class_Rings_Ocomm__semiring__1( tc_Code__Numeral_Ocode__numeral ) }.
% 0.97/1.59  { class_Rings_Ocomm__semiring( tc_Code__Numeral_Ocode__numeral ) }.
% 0.97/1.59  { class_Rings_Ozero__neq__one( tc_Code__Numeral_Ocode__numeral ) }.
% 0.97/1.59  { class_Orderings_Opreorder( tc_Code__Numeral_Ocode__numeral ) }.
% 0.97/1.59  { class_Orderings_Olinorder( tc_Code__Numeral_Ocode__numeral ) }.
% 0.97/1.59  { class_Groups_Omonoid__mult( tc_Code__Numeral_Ocode__numeral ) }.
% 0.97/1.59  { class_Groups_Omonoid__add( tc_Code__Numeral_Ocode__numeral ) }.
% 0.97/1.59  { class_Rings_Osemiring__1( tc_Code__Numeral_Ocode__numeral ) }.
% 0.97/1.59  { class_Rings_Osemiring__0( tc_Code__Numeral_Ocode__numeral ) }.
% 0.97/1.59  { class_Rings_Omult__zero( tc_Code__Numeral_Ocode__numeral ) }.
% 0.97/1.59  { class_Orderings_Oorder( tc_Code__Numeral_Ocode__numeral ) }.
% 0.97/1.59  { class_Rings_Osemiring( tc_Code__Numeral_Ocode__numeral ) }.
% 0.97/1.59  { class_Orderings_Oord( tc_Code__Numeral_Ocode__numeral ) }.
% 0.97/1.59  { class_Power_Opower( tc_Code__Numeral_Ocode__numeral ) }.
% 0.97/1.59  { class_Groups_Ozero( tc_Code__Numeral_Ocode__numeral ) }.
% 0.97/1.59  { class_Int_Onumber( tc_Code__Numeral_Ocode__numeral ) }.
% 0.97/1.59  { class_Groups_Oone( tc_Code__Numeral_Ocode__numeral ) }.
% 0.97/1.59  { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, hAPP( 
% 0.97/1.59    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, v_da____ ), v_m____ ), 
% 0.97/1.59    v_e ) }.
% 0.97/1.59  
% 0.97/1.59  *** allocated 15000 integers for clauses
% 0.97/1.59  *** allocated 22500 integers for clauses
% 0.97/1.59  *** allocated 33750 integers for clauses
% 0.97/1.59  *** allocated 50625 integers for clauses
% 0.97/1.59  *** allocated 75937 integers for clauses
% 0.97/1.59  *** allocated 113905 integers for clauses
% 0.97/1.59  percentage equality = 0.218928, percentage horn = 0.895037
% 0.97/1.59  This is a problem with some equality
% 0.97/1.59  
% 0.97/1.59  
% 0.97/1.59  
% 0.97/1.59  Options Used:
% 0.97/1.59  
% 0.97/1.59  useres =            1
% 0.97/1.59  useparamod =        1
% 0.97/1.59  useeqrefl =         1
% 0.97/1.59  useeqfact =         1
% 0.97/1.59  usefactor =         1
% 0.97/1.59  usesimpsplitting =  0
% 0.97/1.59  usesimpdemod =      5
% 0.97/1.59  usesimpres =        3
% 0.97/1.59  
% 0.97/1.59  resimpinuse      =  1000
% 0.97/1.59  resimpclauses =     20000
% 0.97/1.59  substype =          eqrewr
% 0.97/1.59  backwardsubs =      1
% 0.97/1.59  selectoldest =      5
% 0.97/1.59  
% 0.97/1.59  litorderings [0] =  split
% 0.97/1.59  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.97/1.59  
% 0.97/1.59  termordering =      kbo
% 0.97/1.59  
% 0.97/1.59  litapriori =        0
% 0.97/1.59  termapriori =       1
% 0.97/1.59  litaposteriori =    0
% 0.97/1.59  termaposteriori =   0
% 0.97/1.59  demodaposteriori =  0
% 0.97/1.59  ordereqreflfact =   0
% 0.97/1.59  
% 0.97/1.59  litselect =         negord
% 0.97/1.59  
% 0.97/1.59  maxweight =         15
% 0.97/1.59  maxdepth =          30000
% 0.97/1.59  maxlength =         115
% 0.97/1.59  maxnrvars =         195
% 0.97/1.59  excuselevel =       1
% 0.97/1.59  increasemaxweight = 1
% 0.97/1.59  
% 0.97/1.59  maxselected =       10000000
% 0.97/1.59  maxnrclauses =      10000000
% 0.97/1.59  
% 0.97/1.59  showgenerated =    0
% 0.97/1.59  showkept =         0
% 0.97/1.59  showselected =     0
% 0.97/1.59  showdeleted =      0
% 0.97/1.59  showresimp =       1
% 0.97/1.59  showstatus =       2000
% 0.97/1.59  
% 0.97/1.59  prologoutput =     0
% 0.97/1.59  nrgoals =          5000000
% 0.97/1.59  totalproof =       1
% 0.97/1.59  
% 0.97/1.59  Symbols occurring in the translation:
% 0.97/1.59  
% 0.97/1.59  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.97/1.59  .  [1, 2]      (w:1, o:187, a:1, s:1, b:0), 
% 0.97/1.59  !  [4, 1]      (w:0, o:100, a:1, s:1, b:0), 
% 0.97/1.59  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.97/1.59  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.97/1.59  hAPP  [38, 2]      (w:1, o:211, a:1, s:1, b:0), 
% 0.97/1.59  tc_RealDef_Oreal  [39, 0]      (w:1, o:12, a:1, s:1, b:0), 
% 0.97/1.59  c_Groups_Ozero__class_Ozero  [40, 1]      (w:1, o:106, a:1, s:1, b:0), 
% 0.97/1.59  v_m____  [41, 0]      (w:1, o:13, a:1, s:1, b:0), 
% 0.97/1.59  c_Orderings_Oord__class_Oless  [42, 3]      (w:1, o:232, a:1, s:1, b:0), 
% 0.97/1.59  v_da____  [43, 0]      (w:1, o:14, a:1, s:1, b:0), 
% 0.97/1.59  v_e  [44, 0]      (w:1, o:16, a:1, s:1, b:0), 
% 0.97/1.59  c_Rings_Oinverse__class_Odivide  [45, 3]      (w:1, o:233, a:1, s:1, b:0), 
% 0.97/1.59    
% 0.97/1.59  c_Groups_Oone__class_Oone  [46, 1]      (w:1, o:107, a:1, s:1, b:0), 
% 0.97/1.59  v_d____  [47, 0]      (w:1, o:15, a:1, s:1, b:0), 
% 0.97/1.59  c_Groups_Otimes__class_Otimes  [48, 2]      (w:1, o:213, a:1, s:1, b:0), 
% 0.97/1.59  class_Lattices_Oab__semigroup__idem__mult  [56, 1]      (w:1, o:108, a:1
% 0.97/1.59    , s:1, b:0), 
% 0.97/1.59  class_Rings_Ocomm__semiring__1  [59, 1]      (w:1, o:110, a:1, s:1, b:0), 
% 0.97/1.59  class_Fields_Olinordered__field  [74, 1]      (w:1, o:111, a:1, s:1, b:0), 
% 0.97/1.59    
% 0.97/1.59  class_Fields_Olinordered__field__inverse__zero  [75, 1]      (w:1, o:112
% 0.97/1.59    , a:1, s:1, b:0), 
% 0.97/1.59  class_Fields_Ofield__inverse__zero  [76, 1]      (w:1, o:113, a:1, s:1, b:0
% 0.97/1.59    ), 
% 0.97/1.59  class_Fields_Ofield  [78, 1]      (w:1, o:114, a:1, s:1, b:0), 
% 0.97/1.59  class_Rings_Odivision__ring  [79, 1]      (w:1, o:116, a:1, s:1, b:0), 
% 0.97/1.59  class_Rings_Odivision__ring__inverse__zero  [80, 1]      (w:1, o:117, a:1
% 0.97/1.59    , s:1, b:0), 
% 0.97/1.59  class_Rings_Olinordered__semidom  [83, 1]      (w:1, o:120, a:1, s:1, b:0)
% 0.97/1.59    , 
% 0.97/1.59  class_Rings_Olinordered__idom  [84, 1]      (w:1, o:121, a:1, s:1, b:0), 
% 0.97/1.59  class_Rings_Ono__zero__divisors  [85, 1]      (w:1, o:128, a:1, s:1, b:0), 
% 0.97/1.59    
% 0.97/1.59  class_Rings_Oring__no__zero__divisors  [86, 1]      (w:1, o:129, a:1, s:1
% 0.97/1.59    , b:0), 
% 0.97/1.59  class_Rings_Omult__zero  [87, 1]      (w:1, o:127, a:1, s:1, b:0), 
% 0.97/1.59  class_Rings_Ozero__neq__one  [88, 1]      (w:1, o:130, a:1, s:1, b:0), 
% 0.97/1.59  class_Rings_Olinordered__ring__strict  [90, 1]      (w:1, o:118, a:1, s:1
% 0.97/1.59    , b:0), 
% 0.97/1.59  class_Rings_Olinordered__comm__semiring__strict  [91, 1]      (w:1, o:122
% 0.97/1.59    , a:1, s:1, b:0), 
% 0.97/1.59  class_Rings_Olinordered__semiring__strict  [92, 1]      (w:1, o:123, a:1
% 0.97/1.59    , s:1, b:0), 
% 0.97/1.59  class_Rings_Olinordered__ring  [93, 1]      (w:1, o:119, a:1, s:1, b:0), 
% 0.97/1.59  c_Orderings_Oord__class_Oless__eq  [94, 3]      (w:1, o:234, a:1, s:1, b:0)
% 0.97/1.59    , 
% 0.97/1.59  class_RealVector_Oreal__normed__field  [95, 1]      (w:1, o:131, a:1, s:1
% 0.97/1.59    , b:0), 
% 0.97/1.59  class_Groups_Ocomm__monoid__mult  [96, 1]      (w:1, o:132, a:1, s:1, b:0)
% 0.97/1.59    , 
% 0.97/1.59  class_Groups_Omonoid__mult  [97, 1]      (w:1, o:134, a:1, s:1, b:0), 
% 0.97/1.59  class_RealVector_Oreal__normed__algebra  [98, 1]      (w:1, o:135, a:1, s:1
% 0.97/1.59    , b:0), 
% 0.97/1.59  class_Rings_Oordered__cancel__semiring  [102, 1]      (w:1, o:136, a:1, s:1
% 0.97/1.59    , b:0), 
% 0.97/1.59  class_Rings_Oordered__ring  [103, 1]      (w:1, o:137, a:1, s:1, b:0), 
% 0.97/1.59  class_Rings_Oordered__semiring  [105, 1]      (w:1, o:139, a:1, s:1, b:0), 
% 0.97/1.59    
% 0.97/1.59  class_Rings_Oordered__comm__semiring  [106, 1]      (w:1, o:140, a:1, s:1
% 0.97/1.59    , b:0), 
% 0.97/1.59  class_Rings_Olinordered__semiring  [107, 1]      (w:1, o:124, a:1, s:1, b:0
% 0.97/1.59    ), 
% 0.97/1.59  class_Groups_Ozero  [108, 1]      (w:1, o:141, a:1, s:1, b:0), 
% 0.97/1.59  class_Groups_Oab__semigroup__mult  [109, 1]      (w:1, o:142, a:1, s:1, b:0
% 0.97/1.59    ), 
% 0.97/1.59  class_Groups_Oone  [110, 1]      (w:1, o:143, a:1, s:1, b:0), 
% 0.97/1.59  class_Orderings_Opreorder  [111, 1]      (w:1, o:146, a:1, s:1, b:0), 
% 0.97/1.59  class_Orderings_Olinorder  [112, 1]      (w:1, o:147, a:1, s:1, b:0), 
% 0.97/1.59  class_Orderings_Oorder  [113, 1]      (w:1, o:144, a:1, s:1, b:0), 
% 0.97/1.59  class_Orderings_Oord  [115, 1]      (w:1, o:145, a:1, s:1, b:0), 
% 0.97/1.59  tc_fun  [116, 2]      (w:1, o:221, a:1, s:1, b:0), 
% 0.97/1.59  class_Rings_Olinordered__semiring__1__strict  [120, 1]      (w:1, o:125, a:
% 0.97/1.59    1, s:1, b:0), 
% 0.97/1.59  c_Groups_Oplus__class_Oplus  [121, 3]      (w:1, o:235, a:1, s:1, b:0), 
% 0.97/1.59  class_Rings_Olinordered__semiring__1  [122, 1]      (w:1, o:126, a:1, s:1
% 0.97/1.59    , b:0), 
% 0.97/1.59  c_Rings_Oinverse__class_Oinverse  [123, 2]      (w:1, o:222, a:1, s:1, b:0)
% 0.97/1.59    , 
% 0.97/1.59  c_Groups_Osgn__class_Osgn  [124, 2]      (w:1, o:212, a:1, s:1, b:0), 
% 0.97/1.59  class_Groups_Oab__semigroup__add  [125, 1]      (w:1, o:148, a:1, s:1, b:0)
% 0.97/1.59    , 
% 0.97/1.59  class_Groups_Ocancel__semigroup__add  [126, 1]      (w:1, o:149, a:1, s:1
% 0.97/1.59    , b:0), 
% 0.97/1.59  class_Groups_Ocancel__ab__semigroup__add  [127, 1]      (w:1, o:150, a:1
% 0.97/1.59    , s:1, b:0), 
% 0.97/1.59  class_Groups_Ocomm__monoid__add  [128, 1]      (w:1, o:151, a:1, s:1, b:0)
% 0.97/1.59    , 
% 0.97/1.59  class_Groups_Omonoid__add  [129, 1]      (w:1, o:152, a:1, s:1, b:0), 
% 0.97/1.59  class_Groups_Olinordered__ab__group__add  [130, 1]      (w:1, o:133, a:1
% 0.97/1.59    , s:1, b:0), 
% 0.97/1.59  class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct  [
% 0.97/1.59    131, 1]      (w:1, o:163, a:1, s:1, b:0), 
% 0.97/1.59  class_Groups_Oordered__ab__semigroup__add__imp__le  [132, 1]      (w:1, o:
% 0.97/1.59    164, a:1, s:1, b:0), 
% 0.97/1.59  class_Groups_Oordered__ab__semigroup__add  [133, 1]      (w:1, o:165, a:1
% 0.97/1.59    , s:1, b:0), 
% 0.97/1.59  class_Groups_Oordered__cancel__ab__semigroup__add  [134, 1]      (w:1, o:
% 0.97/1.59    166, a:1, s:1, b:0), 
% 0.97/1.59  class_Rings_Ocomm__semiring  [140, 1]      (w:1, o:115, a:1, s:1, b:0), 
% 0.97/1.59  class_Rings_Osemiring  [142, 1]      (w:1, o:156, a:1, s:1, b:0), 
% 0.97/1.59  class_RealVector_Oreal__normed__vector  [143, 1]      (w:1, o:157, a:1, s:1
% 0.97/1.59    , b:0), 
% 0.97/1.59  class_Groups_Osgn__if  [144, 1]      (w:1, o:167, a:1, s:1, b:0), 
% 0.97/1.59  class_RealVector_Oreal__normed__div__algebra  [145, 1]      (w:1, o:158, a:
% 0.97/1.59    1, s:1, b:0), 
% 0.97/1.59  class_RealVector_Oreal__normed__algebra__1  [146, 1]      (w:1, o:159, a:1
% 0.97/1.59    , s:1, b:0), 
% 0.97/1.59  class_Groups_Oordered__comm__monoid__add  [147, 1]      (w:1, o:168, a:1
% 0.97/1.59    , s:1, b:0), 
% 0.97/1.59  c_Transcendental_Oln  [151, 0]      (w:1, o:74, a:1, s:1, b:0), 
% 0.97/1.59  class_Int_Onumber  [152, 1]      (w:1, o:169, a:1, s:1, b:0), 
% 0.97/1.59  c_Int_Onumber__class_Onumber__of  [153, 2]      (w:1, o:223, a:1, s:1, b:0)
% 0.97/1.59    , 
% 0.97/1.59  c_Deriv_Oderiv  [154, 4]      (w:1, o:272, a:1, s:1, b:0), 
% 0.97/1.59  class_Int_Onumber__ring  [155, 1]      (w:1, o:170, a:1, s:1, b:0), 
% 0.97/1.59  tc_Int_Oint  [156, 0]      (w:1, o:76, a:1, s:1, b:0), 
% 0.97/1.59  class_Int_Oring__char__0  [157, 1]      (w:1, o:171, a:1, s:1, b:0), 
% 0.97/1.59  c_Int_Osucc  [159, 1]      (w:1, o:172, a:1, s:1, b:0), 
% 0.97/1.59  c_Groups_Ouminus__class_Ouminus  [160, 2]      (w:1, o:224, a:1, s:1, b:0)
% 0.97/1.59    , 
% 0.97/1.59  c_Transcendental_Oexp  [161, 1]      (w:1, o:173, a:1, s:1, b:0), 
% 0.97/1.59  class_SEQ_Obanach  [164, 1]      (w:1, o:174, a:1, s:1, b:0), 
% 0.97/1.59  class_Groups_Ogroup__add  [165, 1]      (w:1, o:175, a:1, s:1, b:0), 
% 0.97/1.59  class_Groups_Oordered__ab__group__add  [166, 1]      (w:1, o:176, a:1, s:1
% 0.97/1.59    , b:0), 
% 0.97/1.59  class_Lattices_Oboolean__algebra  [167, 1]      (w:1, o:177, a:1, s:1, b:0)
% 0.97/1.59    , 
% 0.97/1.59  class_Rings_Oidom  [168, 1]      (w:1, o:160, a:1, s:1, b:0), 
% 0.97/1.59  class_Rings_Oring  [169, 1]      (w:1, o:153, a:1, s:1, b:0), 
% 0.97/1.59  class_Groups_Oab__group__add  [170, 1]      (w:1, o:178, a:1, s:1, b:0), 
% 0.97/1.59  class_Groups_Ouminus  [172, 1]      (w:1, o:179, a:1, s:1, b:0), 
% 0.97/1.59  class_Rings_Ocomm__ring__1  [177, 1]      (w:1, o:109, a:1, s:1, b:0), 
% 1.96/2.36  class_Rings_Oring__1__no__zero__divisors  [178, 1]      (w:1, o:154, a:1
% 1.96/2.36    , s:1, b:0), 
% 1.96/2.36  c_Int_Oiszero  [186, 2]      (w:1, o:225, a:1, s:1, b:0), 
% 1.96/2.36  class_Rings_Osemiring__1  [188, 1]      (w:1, o:162, a:1, s:1, b:0), 
% 1.96/2.36  c_Int_OPls  [189, 0]      (w:1, o:86, a:1, s:1, b:0), 
% 1.96/2.36  c_Int_Opred  [190, 1]      (w:1, o:180, a:1, s:1, b:0), 
% 1.96/2.36  tc_Nat_Onat  [192, 0]      (w:1, o:87, a:1, s:1, b:0), 
% 1.96/2.36  c_Int_OBit1  [194, 1]      (w:1, o:182, a:1, s:1, b:0), 
% 1.96/2.36  hBOOL  [201, 1]      (w:1, o:183, a:1, s:1, b:0), 
% 1.96/2.36  tc_Code__Numeral_Ocode__numeral  [204, 0]      (w:1, o:93, a:1, s:1, b:0), 
% 1.96/2.36    
% 1.96/2.36  c_Int_OBit0  [205, 1]      (w:1, o:181, a:1, s:1, b:0), 
% 1.96/2.36  c_NthRoot_Osqrt  [207, 0]      (w:1, o:94, a:1, s:1, b:0), 
% 1.96/2.36  c_Power_Opower__class_Opower  [208, 3]      (w:1, o:236, a:1, s:1, b:0), 
% 1.96/2.36  class_Power_Opower  [210, 1]      (w:1, o:184, a:1, s:1, b:0), 
% 1.96/2.36  class_Rings_Osemiring__0  [211, 1]      (w:1, o:161, a:1, s:1, b:0), 
% 1.96/2.36  class_Rings_Oring__1  [212, 1]      (w:1, o:155, a:1, s:1, b:0), 
% 1.96/2.36  tc_Complex_Ocomplex  [214, 0]      (w:1, o:96, a:1, s:1, b:0), 
% 1.96/2.36  c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt  [215, 1]      (w:1, o:
% 1.96/2.36    105, a:1, s:1, b:0), 
% 1.96/2.36  c_Transcendental_Oarctan  [216, 0]      (w:1, o:97, a:1, s:1, b:0), 
% 1.96/2.36  c_Groups_Oabs__class_Oabs  [217, 2]      (w:1, o:226, a:1, s:1, b:0), 
% 1.96/2.36  class_Rings_Oordered__ring__abs  [218, 1]      (w:1, o:138, a:1, s:1, b:0)
% 1.96/2.36    , 
% 1.96/2.36  class_Groups_Oordered__ab__group__add__abs  [219, 1]      (w:1, o:185, a:1
% 1.96/2.36    , s:1, b:0), 
% 1.96/2.36  class_Groups_Oabs__if  [220, 1]      (w:1, o:186, a:1, s:1, b:0), 
% 1.96/2.36  tc_HOL_Obool  [223, 0]      (w:1, o:75, a:1, s:1, b:0), 
% 1.96/2.36  alpha1  [224, 3]      (w:1, o:237, a:1, s:1, b:1), 
% 1.96/2.36  alpha2  [225, 3]      (w:1, o:247, a:1, s:1, b:1), 
% 1.96/2.36  alpha3  [226, 3]      (w:1, o:256, a:1, s:1, b:1), 
% 1.96/2.36  alpha4  [227, 3]      (w:1, o:262, a:1, s:1, b:1), 
% 1.96/2.36  alpha5  [228, 3]      (w:1, o:264, a:1, s:1, b:1), 
% 1.96/2.36  alpha6  [229, 3]      (w:1, o:265, a:1, s:1, b:1), 
% 1.96/2.36  alpha7  [230, 4]      (w:1, o:283, a:1, s:1, b:1), 
% 1.96/2.36  alpha8  [231, 4]      (w:1, o:294, a:1, s:1, b:1), 
% 1.96/2.36  alpha9  [232, 3]      (w:1, o:266, a:1, s:1, b:1), 
% 1.96/2.36  alpha10  [233, 3]      (w:1, o:238, a:1, s:1, b:1), 
% 1.96/2.36  alpha11  [234, 3]      (w:1, o:239, a:1, s:1, b:1), 
% 1.96/2.36  alpha12  [235, 3]      (w:1, o:240, a:1, s:1, b:1), 
% 1.96/2.36  alpha13  [236, 2]      (w:1, o:227, a:1, s:1, b:1), 
% 1.96/2.36  alpha14  [237, 3]      (w:1, o:241, a:1, s:1, b:1), 
% 1.96/2.36  alpha15  [238, 3]      (w:1, o:242, a:1, s:1, b:1), 
% 1.96/2.36  alpha16  [239, 3]      (w:1, o:243, a:1, s:1, b:1), 
% 1.96/2.36  alpha17  [240, 3]      (w:1, o:244, a:1, s:1, b:1), 
% 1.96/2.36  alpha18  [241, 3]      (w:1, o:245, a:1, s:1, b:1), 
% 1.96/2.36  alpha19  [242, 3]      (w:1, o:246, a:1, s:1, b:1), 
% 1.96/2.36  alpha20  [243, 3]      (w:1, o:248, a:1, s:1, b:1), 
% 1.96/2.36  alpha21  [244, 3]      (w:1, o:249, a:1, s:1, b:1), 
% 1.96/2.36  alpha22  [245, 3]      (w:1, o:250, a:1, s:1, b:1), 
% 1.96/2.36  alpha23  [246, 3]      (w:1, o:251, a:1, s:1, b:1), 
% 1.96/2.36  alpha24  [247, 3]      (w:1, o:252, a:1, s:1, b:1), 
% 1.96/2.36  alpha25  [248, 3]      (w:1, o:253, a:1, s:1, b:1), 
% 1.96/2.36  alpha26  [249, 3]      (w:1, o:254, a:1, s:1, b:1), 
% 1.96/2.36  alpha27  [250, 3]      (w:1, o:255, a:1, s:1, b:1), 
% 1.96/2.36  alpha28  [251, 2]      (w:1, o:228, a:1, s:1, b:1), 
% 1.96/2.36  alpha29  [252, 4]      (w:1, o:295, a:1, s:1, b:1), 
% 1.96/2.36  alpha30  [253, 4]      (w:1, o:296, a:1, s:1, b:1), 
% 1.96/2.36  alpha31  [254, 3]      (w:1, o:257, a:1, s:1, b:1), 
% 1.96/2.36  alpha32  [255, 3]      (w:1, o:258, a:1, s:1, b:1), 
% 1.96/2.36  alpha33  [256, 4]      (w:1, o:297, a:1, s:1, b:1), 
% 1.96/2.36  alpha34  [257, 4]      (w:1, o:298, a:1, s:1, b:1), 
% 1.96/2.36  alpha35  [258, 4]      (w:1, o:299, a:1, s:1, b:1), 
% 1.96/2.36  alpha36  [259, 4]      (w:1, o:300, a:1, s:1, b:1), 
% 1.96/2.36  alpha37  [260, 3]      (w:1, o:259, a:1, s:1, b:1), 
% 1.96/2.36  alpha38  [261, 3]      (w:1, o:260, a:1, s:1, b:1), 
% 1.96/2.36  alpha39  [262, 3]      (w:1, o:261, a:1, s:1, b:1), 
% 1.96/2.36  alpha40  [263, 3]      (w:1, o:263, a:1, s:1, b:1), 
% 1.96/2.36  alpha41  [264, 2]      (w:1, o:229, a:1, s:1, b:1), 
% 1.96/2.36  alpha42  [265, 4]      (w:1, o:301, a:1, s:1, b:1), 
% 1.96/2.36  alpha43  [266, 4]      (w:1, o:302, a:1, s:1, b:1), 
% 1.96/2.36  alpha44  [267, 4]      (w:1, o:303, a:1, s:1, b:1), 
% 1.96/2.36  alpha45  [268, 4]      (w:1, o:304, a:1, s:1, b:1), 
% 1.96/2.36  alpha46  [269, 4]      (w:1, o:305, a:1, s:1, b:1), 
% 1.96/2.36  alpha47  [270, 4]      (w:1, o:306, a:1, s:1, b:1), 
% 8.09/8.47  alpha48  [271, 4]      (w:1, o:307, a:1, s:1, b:1), 
% 8.09/8.47  alpha49  [272, 4]      (w:1, o:308, a:1, s:1, b:1), 
% 8.09/8.47  alpha50  [273, 4]      (w:1, o:309, a:1, s:1, b:1), 
% 8.09/8.47  alpha51  [274, 4]      (w:1, o:310, a:1, s:1, b:1), 
% 8.09/8.47  alpha52  [275, 4]      (w:1, o:311, a:1, s:1, b:1), 
% 8.09/8.47  alpha53  [276, 4]      (w:1, o:312, a:1, s:1, b:1), 
% 8.09/8.47  alpha54  [277, 4]      (w:1, o:313, a:1, s:1, b:1), 
% 8.09/8.47  alpha55  [278, 4]      (w:1, o:314, a:1, s:1, b:1), 
% 8.09/8.47  alpha56  [279, 4]      (w:1, o:315, a:1, s:1, b:1), 
% 8.09/8.47  alpha57  [280, 4]      (w:1, o:316, a:1, s:1, b:1), 
% 8.09/8.47  alpha58  [281, 4]      (w:1, o:317, a:1, s:1, b:1), 
% 8.09/8.47  alpha59  [282, 4]      (w:1, o:318, a:1, s:1, b:1), 
% 8.09/8.47  alpha60  [283, 4]      (w:1, o:273, a:1, s:1, b:1), 
% 8.09/8.47  alpha61  [284, 4]      (w:1, o:274, a:1, s:1, b:1), 
% 8.09/8.47  alpha62  [285, 4]      (w:1, o:275, a:1, s:1, b:1), 
% 8.09/8.47  alpha63  [286, 4]      (w:1, o:276, a:1, s:1, b:1), 
% 8.09/8.47  alpha64  [287, 4]      (w:1, o:277, a:1, s:1, b:1), 
% 8.09/8.47  alpha65  [288, 4]      (w:1, o:278, a:1, s:1, b:1), 
% 8.09/8.47  alpha66  [289, 4]      (w:1, o:279, a:1, s:1, b:1), 
% 8.09/8.47  alpha67  [290, 4]      (w:1, o:280, a:1, s:1, b:1), 
% 8.09/8.47  alpha68  [291, 4]      (w:1, o:281, a:1, s:1, b:1), 
% 8.09/8.47  alpha69  [292, 4]      (w:1, o:282, a:1, s:1, b:1), 
% 8.09/8.47  alpha70  [293, 4]      (w:1, o:284, a:1, s:1, b:1), 
% 8.09/8.47  alpha71  [294, 4]      (w:1, o:285, a:1, s:1, b:1), 
% 8.09/8.47  alpha72  [295, 4]      (w:1, o:286, a:1, s:1, b:1), 
% 8.09/8.47  alpha73  [296, 4]      (w:1, o:287, a:1, s:1, b:1), 
% 8.09/8.47  alpha74  [297, 4]      (w:1, o:288, a:1, s:1, b:1), 
% 8.09/8.47  alpha75  [298, 4]      (w:1, o:289, a:1, s:1, b:1), 
% 8.09/8.47  alpha76  [299, 4]      (w:1, o:290, a:1, s:1, b:1), 
% 8.09/8.47  alpha77  [300, 4]      (w:1, o:291, a:1, s:1, b:1), 
% 8.09/8.47  alpha78  [301, 4]      (w:1, o:292, a:1, s:1, b:1), 
% 8.09/8.47  alpha79  [302, 4]      (w:1, o:293, a:1, s:1, b:1), 
% 8.09/8.47  alpha80  [303, 4]      (w:1, o:319, a:1, s:1, b:1), 
% 8.09/8.47  alpha81  [304, 4]      (w:1, o:320, a:1, s:1, b:1), 
% 8.09/8.47  alpha82  [305, 4]      (w:1, o:321, a:1, s:1, b:1), 
% 8.09/8.47  alpha83  [306, 4]      (w:1, o:322, a:1, s:1, b:1), 
% 8.09/8.47  alpha84  [307, 4]      (w:1, o:323, a:1, s:1, b:1), 
% 8.09/8.47  alpha85  [308, 4]      (w:1, o:324, a:1, s:1, b:1), 
% 8.09/8.47  alpha86  [309, 4]      (w:1, o:325, a:1, s:1, b:1), 
% 8.09/8.47  alpha87  [310, 4]      (w:1, o:326, a:1, s:1, b:1), 
% 8.09/8.47  alpha88  [311, 4]      (w:1, o:327, a:1, s:1, b:1), 
% 8.09/8.47  alpha89  [312, 4]      (w:1, o:328, a:1, s:1, b:1), 
% 8.09/8.47  alpha90  [313, 4]      (w:1, o:329, a:1, s:1, b:1), 
% 8.09/8.47  alpha91  [314, 4]      (w:1, o:330, a:1, s:1, b:1), 
% 8.09/8.47  alpha92  [315, 3]      (w:1, o:267, a:1, s:1, b:1), 
% 8.09/8.47  alpha93  [316, 2]      (w:1, o:230, a:1, s:1, b:1), 
% 8.09/8.47  alpha94  [317, 2]      (w:1, o:231, a:1, s:1, b:1), 
% 8.09/8.47  alpha95  [318, 3]      (w:1, o:268, a:1, s:1, b:1), 
% 8.09/8.47  skol1  [319, 2]      (w:1, o:214, a:1, s:1, b:1), 
% 8.09/8.47  skol2  [320, 0]      (w:1, o:10, a:1, s:1, b:1), 
% 8.09/8.47  skol3  [321, 0]      (w:1, o:11, a:1, s:1, b:1), 
% 8.09/8.47  skol4  [322, 3]      (w:1, o:269, a:1, s:1, b:1), 
% 8.09/8.47  skol5  [323, 3]      (w:1, o:270, a:1, s:1, b:1), 
% 8.09/8.47  skol6  [324, 3]      (w:1, o:271, a:1, s:1, b:1), 
% 8.09/8.47  skol7  [325, 2]      (w:1, o:215, a:1, s:1, b:1), 
% 8.09/8.47  skol8  [326, 2]      (w:1, o:216, a:1, s:1, b:1), 
% 8.09/8.47  skol9  [327, 2]      (w:1, o:217, a:1, s:1, b:1), 
% 8.09/8.47  skol10  [328, 2]      (w:1, o:218, a:1, s:1, b:1), 
% 8.09/8.47  skol11  [329, 2]      (w:1, o:219, a:1, s:1, b:1), 
% 8.09/8.47  skol12  [330, 2]      (w:1, o:220, a:1, s:1, b:1).
% 8.09/8.47  
% 8.09/8.47  
% 8.09/8.47  Starting Search:
% 8.09/8.47  
% 8.09/8.47  *** allocated 170857 integers for clauses
% 8.09/8.47  Resimplifying inuse:
% 8.09/8.47  Done
% 8.09/8.47  
% 8.09/8.47  
% 8.09/8.47  Intermediate Status:
% 8.09/8.47  Generated:    2873
% 8.09/8.47  Kept:         2000
% 8.09/8.47  Inuse:        17
% 8.09/8.47  Deleted:      0
% 8.09/8.47  Deletedinuse: 0
% 8.09/8.47  
% 8.09/8.47  *** allocated 256285 integers for clauses
% 8.09/8.47  Resimplifying inuse:
% 8.09/8.47  Done
% 8.09/8.47  
% 8.09/8.47  *** allocated 170857 integers for termspace/termends
% 8.09/8.47  
% 8.09/8.47  Intermediate Status:
% 8.09/8.47  Generated:    11619
% 8.09/8.47  Kept:         4014
% 8.09/8.47  Inuse:        165
% 8.09/8.47  Deleted:      1
% 8.09/8.47  Deletedinuse: 0
% 8.09/8.47  
% 8.09/8.47  Resimplifying inuse:
% 8.09/8.47  Done
% 8.09/8.47  
% 8.09/8.47  *** allocated 384427 integers for clauses
% 8.09/8.47  Resimplifying inuse:
% 8.09/8.47  Done
% 8.09/8.47  
% 8.09/8.47  *** allocated 256285 integers for termspace/termends
% 8.09/8.47  
% 8.09/8.47  Intermediate Status:
% 8.09/8.47  Generated:    16803
% 8.09/8.47  Kept:         6014
% 8.09/8.47  Inuse:        298
% 8.09/8.47  Deleted:      3
% 8.09/8.47  Deletedinuse: 0
% 8.09/8.47  
% 8.09/8.47  Resimplifying inuse:
% 8.09/8.47  Done
% 8.09/8.47  
% 8.09/8.47  Resimplifying inuse:
% 8.09/8.47  Done
% 8.09/8.47  
% 8.09/8.47  *** allocated 576640 integers for clauses
% 8.09/8.47  
% 8.09/8.47  Intermediate Status:
% 8.09/8.47  Generated:    21557
% 8.09/8.47  Kept:         8073
% 8.09/8.47  Inuse:        456
% 8.09/8.47  Deleted:      14
% 8.09/8.47  Deletedinuse: 4
% 8.09/8.47  
% 8.09/8.47  Resimplifying inuse:
% 8.09/8.47  Done
% 8.09/8.47  
% 8.09/8.47  *** allocated 384427 integers for termspace/termends
% 8.09/8.47  Resimplifying inuse:
% 8.09/8.47  Done
% 8.09/8.47  
% 8.09/8.47  
% 8.09/8.47  Intermediate Status:
% 8.09/8.47  Generated:    33100
% 8.09/8.47  Kept:         10507
% 8.09/8.47  Inuse:        564
% 8.09/8.47  Deleted:      17
% 8.09/8.47  Deletedinuse: 5
% 8.09/8.47  
% 8.09/8.47  Resimplifying inuse:
% 8.09/8.47  Done
% 8.09/8.47  
% 8.09/8.47  *** allocated 864960 integers for clauses
% 8.09/8.47  Resimplifying inuse:
% 8.09/8.47  Done
% 8.09/8.47  
% 8.09/8.47  *** allocated 576640 integers for termspace/termends
% 8.09/8.47  
% 8.09/8.47  Intermediate Status:
% 8.09/8.47  Generated:    51309
% 8.09/8.47  Kept:         13483
% 8.09/8.47  Inuse:        599
% 8.09/8.47  Deleted:      17
% 8.09/8.47  Deletedinuse: 5
% 8.09/8.47  
% 8.09/8.47  Resimplifying inuse:
% 8.09/8.47  Done
% 8.09/8.47  
% 8.09/8.47  Resimplifying inuse:
% 8.09/8.47  Done
% 8.09/8.47  
% 8.09/8.47  
% 8.09/8.47  Intermediate Status:
% 8.09/8.47  Generated:    56321
% 8.09/8.47  Kept:         16080
% 8.09/8.47  Inuse:        618
% 8.09/8.47  Deleted:      18
% 8.09/8.47  Deletedinuse: 5
% 8.09/8.47  
% 8.09/8.47  Resimplifying inuse:
% 8.09/8.47  Done
% 8.09/8.47  
% 8.09/8.47  Resimplifying inuse:
% 8.09/8.47  Done
% 8.09/8.47  
% 8.09/8.47  *** allocated 1297440 integers for clauses
% 8.09/8.47  
% 8.09/8.47  Intermediate Status:
% 8.09/8.47  Generated:    64864
% 8.09/8.47  Kept:         18883
% 8.09/8.47  Inuse:        643
% 8.09/8.47  Deleted:      18
% 8.09/8.47  Deletedinuse: 5
% 8.09/8.47  
% 8.09/8.47  Resimplifying inuse:
% 8.09/8.47  Done
% 8.09/8.47  
% 8.09/8.47  Resimplifying inuse:
% 8.09/8.47  Done
% 8.09/8.47  
% 8.09/8.47  Resimplifying clauses:
% 8.09/8.47  
% 8.09/8.47  Bliksems!, er is een bewijs:
% 8.09/8.47  % SZS status Theorem
% 8.09/8.47  % SZS output start Refutation
% 8.09/8.47  
% 8.09/8.47  (1) {G0,W5,D3,L1,V0,M1} I { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal
% 8.09/8.47    , c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), v_m____ ) }.
% 8.09/8.47  (2) {G0,W7,D3,L1,V0,M1} I { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal
% 8.09/8.47    , v_da____, c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, v_e, 
% 8.09/8.47    v_m____ ) ) }.
% 8.09/8.47  (71) {G0,W14,D3,L3,V4,M3} I { ! 
% 8.09/8.47    class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 8.09/8.47    c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X, 
% 8.09/8.47    Z, Y ) ), alpha30( X, Y, Z, T ) }.
% 8.09/8.47  (83) {G0,W18,D4,L3,V4,M3} I { ! alpha30( X, Y, Z, T ), ! 
% 8.09/8.47    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ), 
% 8.09/8.47    c_Orderings_Oord__class_Oless( X, hAPP( c_Groups_Otimes__class_Otimes( X
% 8.09/8.47    , T ), Y ), Z ) }.
% 8.09/8.47  (1475) {G0,W2,D2,L1,V0,M1} I { 
% 8.09/8.47    class_Fields_Olinordered__field__inverse__zero( tc_RealDef_Oreal ) }.
% 8.09/8.47  (1619) {G0,W8,D4,L1,V0,M1} I { ! c_Orderings_Oord__class_Oless( 
% 8.09/8.47    tc_RealDef_Oreal, hAPP( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, 
% 8.09/8.47    v_da____ ), v_m____ ), v_e ) }.
% 8.09/8.47  (6732) {G1,W5,D2,L1,V0,M1} R(71,2);r(1475) { alpha30( tc_RealDef_Oreal, 
% 8.09/8.47    v_m____, v_e, v_da____ ) }.
% 8.09/8.47  (7219) {G2,W8,D4,L1,V0,M1} R(83,6732);r(1) { c_Orderings_Oord__class_Oless
% 8.09/8.47    ( tc_RealDef_Oreal, hAPP( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal
% 8.09/8.47    , v_da____ ), v_m____ ), v_e ) }.
% 8.09/8.47  (20690) {G3,W0,D0,L0,V0,M0} S(7219);r(1619) {  }.
% 8.09/8.47  
% 8.09/8.47  
% 8.09/8.47  % SZS output end Refutation
% 8.09/8.47  found a proof!
% 8.09/8.47  
% 8.09/8.47  
% 8.09/8.47  Unprocessed initial clauses:
% 8.09/8.47  
% 8.09/8.47  (20692) {G0,W14,D4,L2,V2,M2}  { ! hAPP( Y, skol1( X, Y ) ) = hAPP( X, skol1
% 8.09/8.47    ( X, Y ) ), Y = X }.
% 8.09/8.47  (20693) {G0,W5,D3,L1,V0,M1}  { c_Orderings_Oord__class_Oless( 
% 8.09/8.47    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), 
% 8.09/8.47    v_m____ ) }.
% 8.09/8.47  (20694) {G0,W7,D3,L1,V0,M1}  { c_Orderings_Oord__class_Oless( 
% 8.09/8.47    tc_RealDef_Oreal, v_da____, c_Rings_Oinverse__class_Odivide( 
% 8.09/8.47    tc_RealDef_Oreal, v_e, v_m____ ) ) }.
% 8.09/8.47  (20695) {G0,W5,D3,L1,V0,M1}  { c_Orderings_Oord__class_Oless( 
% 8.09/8.47    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), v_e )
% 8.09/8.47     }.
% 8.09/8.47  (20696) {G0,W5,D3,L1,V0,M1}  { c_Orderings_Oord__class_Oless( 
% 8.09/8.47    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), 
% 8.09/8.47    v_da____ ) }.
% 8.09/8.47  (20697) {G0,W5,D3,L1,V0,M1}  { c_Orderings_Oord__class_Oless( 
% 8.09/8.47    tc_RealDef_Oreal, v_da____, c_Groups_Oone__class_Oone( tc_RealDef_Oreal )
% 8.09/8.47     ) }.
% 8.09/8.47  (20698) {G0,W8,D4,L1,V0,M1}  { c_Orderings_Oord__class_Oless( 
% 8.09/8.47    tc_RealDef_Oreal, hAPP( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, 
% 8.09/8.47    v_d____ ), v_m____ ), v_e ) }.
% 8.09/8.47  (20699) {G0,W7,D3,L1,V0,M1}  { c_Orderings_Oord__class_Oless( 
% 8.09/8.47    tc_RealDef_Oreal, v_d____, c_Rings_Oinverse__class_Odivide( 
% 8.09/8.47    tc_RealDef_Oreal, v_e, v_m____ ) ) }.
% 8.09/8.47  (20700) {G0,W9,D4,L1,V0,M1}  { c_Orderings_Oord__class_Oless( 
% 8.09/8.47    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), hAPP( 
% 8.09/8.47    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, v_d____ ), v_m____ ) )
% 8.09/8.47     }.
% 8.09/8.47  (20701) {G0,W8,D3,L1,V0,M1}  { c_Orderings_Oord__class_Oless( 
% 8.09/8.47    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), 
% 8.09/8.47    c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, v_e, v_m____ ) ) }.
% 8.09/8.47  (20702) {G0,W11,D4,L1,V2,M1}  { hAPP( c_Groups_Otimes__class_Otimes( 
% 8.09/8.48    tc_RealDef_Oreal, Y ), X ) = hAPP( c_Groups_Otimes__class_Otimes( 
% 8.09/8.48    tc_RealDef_Oreal, X ), Y ) }.
% 8.09/8.48  (20703) {G0,W19,D6,L1,V3,M1}  { hAPP( c_Groups_Otimes__class_Otimes( 
% 8.09/8.48    tc_RealDef_Oreal, hAPP( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, 
% 8.09/8.48    Z ), Y ) ), X ) = hAPP( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, 
% 8.09/8.48    Z ), hAPP( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y ), X ) )
% 8.09/8.48     }.
% 8.09/8.48  (20704) {G0,W5,D3,L1,V0,M1}  { c_Orderings_Oord__class_Oless( 
% 8.09/8.48    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), 
% 8.09/8.48    v_d____ ) }.
% 8.09/8.48  (20705) {G0,W9,D4,L2,V2,M2}  { ! class_Lattices_Oab__semigroup__idem__mult
% 8.09/8.48    ( X ), hAPP( c_Groups_Otimes__class_Otimes( X, Y ), Y ) = Y }.
% 8.09/8.48  (20706) {G0,W9,D4,L2,V2,M2}  { ! class_Lattices_Oab__semigroup__idem__mult
% 8.09/8.48    ( X ), hAPP( c_Groups_Otimes__class_Otimes( X, Y ), Y ) = Y }.
% 8.09/8.48  (20707) {G0,W13,D4,L2,V3,M2}  { ! class_Rings_Ocomm__semiring__1( X ), hAPP
% 8.09/8.48    ( c_Groups_Otimes__class_Otimes( X, Z ), Y ) = hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Y ), Z ) }.
% 8.09/8.48  (20708) {G0,W17,D5,L2,V3,M2}  { ! class_Lattices_Oab__semigroup__idem__mult
% 8.09/8.48    ( X ), hAPP( c_Groups_Otimes__class_Otimes( X, Z ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Z ), Y ) ) = hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Z ), Y ) }.
% 8.09/8.48  (20709) {G0,W21,D5,L2,V4,M2}  { ! class_Rings_Ocomm__semiring__1( X ), hAPP
% 8.09/8.48    ( c_Groups_Otimes__class_Otimes( X, T ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Z ), Y ) ) = hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Z ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, T ), Y ) ) }.
% 8.09/8.48  (20710) {G0,W5,D3,L1,V0,M1}  { c_Orderings_Oord__class_Oless( 
% 8.09/8.48    tc_RealDef_Oreal, v_d____, c_Groups_Oone__class_Oone( tc_RealDef_Oreal )
% 8.09/8.48     ) }.
% 8.09/8.48  (20711) {G0,W6,D3,L1,V0,M1}  { c_Orderings_Oord__class_Oless( 
% 8.09/8.48    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), 
% 8.09/8.48    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 8.09/8.48  (20712) {G0,W5,D3,L1,V0,M1}  { ! c_Groups_Ozero__class_Ozero( 
% 8.09/8.48    tc_RealDef_Oreal ) = c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 8.09/8.48  (20713) {G0,W10,D4,L2,V2,M2}  { ! class_Rings_Ocomm__semiring__1( X ), hAPP
% 8.09/8.48    ( c_Groups_Otimes__class_Otimes( X, Y ), c_Groups_Oone__class_Oone( X ) )
% 8.09/8.48     = Y }.
% 8.09/8.48  (20714) {G0,W10,D5,L2,V2,M2}  { ! class_Rings_Ocomm__semiring__1( X ), hAPP
% 8.09/8.48    ( c_Groups_Otimes__class_Otimes( X, c_Groups_Oone__class_Oone( X ) ), Y )
% 8.09/8.48     = Y }.
% 8.09/8.48  (20715) {G0,W11,D4,L2,V2,M2}  { ! class_Rings_Ocomm__semiring__1( X ), hAPP
% 8.09/8.48    ( c_Groups_Otimes__class_Otimes( X, Y ), c_Groups_Ozero__class_Ozero( X )
% 8.09/8.48     ) = c_Groups_Ozero__class_Ozero( X ) }.
% 8.09/8.48  (20716) {G0,W11,D5,L2,V2,M2}  { ! class_Rings_Ocomm__semiring__1( X ), hAPP
% 8.09/8.48    ( c_Groups_Otimes__class_Otimes( X, c_Groups_Ozero__class_Ozero( X ) ), Y
% 8.09/8.48     ) = c_Groups_Ozero__class_Ozero( X ) }.
% 8.09/8.48  (20717) {G0,W8,D5,L1,V1,M1}  { hAPP( c_Groups_Otimes__class_Otimes( 
% 8.09/8.48    tc_RealDef_Oreal, c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ), X ) = 
% 8.09/8.48    X }.
% 8.09/8.48  (20718) {G0,W18,D4,L3,V3,M3}  { X = c_Groups_Ozero__class_Ozero( 
% 8.09/8.48    tc_RealDef_Oreal ), ! hAPP( c_Groups_Otimes__class_Otimes( 
% 8.09/8.48    tc_RealDef_Oreal, X ), Z ) = hAPP( c_Groups_Otimes__class_Otimes( 
% 8.09/8.48    tc_RealDef_Oreal, X ), Y ), Z = Y }.
% 8.09/8.48  (20719) {G0,W18,D4,L3,V3,M3}  { X = c_Groups_Ozero__class_Ozero( 
% 8.09/8.48    tc_RealDef_Oreal ), ! Z = Y, hAPP( c_Groups_Otimes__class_Otimes( 
% 8.09/8.48    tc_RealDef_Oreal, X ), Z ) = hAPP( c_Groups_Otimes__class_Otimes( 
% 8.09/8.48    tc_RealDef_Oreal, X ), Y ) }.
% 8.09/8.48  (20720) {G0,W18,D4,L3,V3,M3}  { X = c_Groups_Ozero__class_Ozero( 
% 8.09/8.48    tc_RealDef_Oreal ), ! hAPP( c_Groups_Otimes__class_Otimes( 
% 8.09/8.48    tc_RealDef_Oreal, Z ), X ) = hAPP( c_Groups_Otimes__class_Otimes( 
% 8.09/8.48    tc_RealDef_Oreal, Y ), X ), Z = Y }.
% 8.09/8.48  (20721) {G0,W18,D4,L3,V3,M3}  { X = c_Groups_Ozero__class_Ozero( 
% 8.09/8.48    tc_RealDef_Oreal ), ! Z = Y, hAPP( c_Groups_Otimes__class_Otimes( 
% 8.09/8.48    tc_RealDef_Oreal, Z ), X ) = hAPP( c_Groups_Otimes__class_Otimes( 
% 8.09/8.48    tc_RealDef_Oreal, Y ), X ) }.
% 8.09/8.48  (20722) {G0,W21,D4,L3,V3,M3}  { ! c_Orderings_Oord__class_Oless( 
% 8.09/8.48    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 8.09/8.48     c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Z, Y ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X ), Z ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X ), Y ) ) }.
% 8.09/8.48  (20723) {G0,W19,D4,L3,V2,M3}  { ! c_Orderings_Oord__class_Oless( 
% 8.09/8.48    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 8.09/8.48     c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X ), Y ) ) }.
% 8.09/8.48  (20724) {G0,W21,D4,L3,V3,M3}  { ! c_Orderings_Oord__class_Oless( 
% 8.09/8.48    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 8.09/8.48     c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z ), X ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y ), X ) ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Z, Y ) }.
% 8.09/8.48  (20725) {G0,W21,D4,L3,V3,M3}  { ! c_Orderings_Oord__class_Oless( 
% 8.09/8.48    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 8.09/8.48     c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Z, Y ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z ), X ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y ), X ) ) }.
% 8.09/8.48  (20726) {G0,W29,D6,L2,V5,M2}  { ! class_Rings_Ocomm__semiring__1( X ), hAPP
% 8.09/8.48    ( c_Groups_Otimes__class_Otimes( X, hAPP( c_Groups_Otimes__class_Otimes( 
% 8.09/8.48    X, U ), T ) ), hAPP( c_Groups_Otimes__class_Otimes( X, Z ), Y ) ) = hAPP
% 8.09/8.48    ( c_Groups_Otimes__class_Otimes( X, hAPP( c_Groups_Otimes__class_Otimes( 
% 8.09/8.48    X, U ), Z ) ), hAPP( c_Groups_Otimes__class_Otimes( X, T ), Y ) ) }.
% 8.09/8.48  (20727) {G0,W29,D7,L2,V5,M2}  { ! class_Rings_Ocomm__semiring__1( X ), hAPP
% 8.09/8.48    ( c_Groups_Otimes__class_Otimes( X, hAPP( c_Groups_Otimes__class_Otimes( 
% 8.09/8.48    X, U ), T ) ), hAPP( c_Groups_Otimes__class_Otimes( X, Z ), Y ) ) = hAPP
% 8.09/8.48    ( c_Groups_Otimes__class_Otimes( X, Z ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, hAPP( c_Groups_Otimes__class_Otimes( X
% 8.09/8.48    , U ), T ) ), Y ) ) }.
% 8.09/8.48  (20728) {G0,W29,D6,L2,V5,M2}  { ! class_Rings_Ocomm__semiring__1( X ), hAPP
% 8.09/8.48    ( c_Groups_Otimes__class_Otimes( X, hAPP( c_Groups_Otimes__class_Otimes( 
% 8.09/8.48    X, U ), T ) ), hAPP( c_Groups_Otimes__class_Otimes( X, Z ), Y ) ) = hAPP
% 8.09/8.48    ( c_Groups_Otimes__class_Otimes( X, U ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, T ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Z ), Y ) ) ) }.
% 8.09/8.48  (20729) {G0,W21,D6,L2,V4,M2}  { ! class_Rings_Ocomm__semiring__1( X ), hAPP
% 8.09/8.48    ( c_Groups_Otimes__class_Otimes( X, hAPP( c_Groups_Otimes__class_Otimes( 
% 8.09/8.48    X, T ), Z ) ), Y ) = hAPP( c_Groups_Otimes__class_Otimes( X, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, T ), Y ) ), Z ) }.
% 8.09/8.48  (20730) {G0,W21,D6,L2,V4,M2}  { ! class_Rings_Ocomm__semiring__1( X ), hAPP
% 8.09/8.48    ( c_Groups_Otimes__class_Otimes( X, hAPP( c_Groups_Otimes__class_Otimes( 
% 8.09/8.48    X, T ), Z ) ), Y ) = hAPP( c_Groups_Otimes__class_Otimes( X, T ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Z ), Y ) ) }.
% 8.09/8.48  (20731) {G0,W21,D6,L2,V4,M2}  { ! class_Rings_Ocomm__semiring__1( X ), hAPP
% 8.09/8.48    ( c_Groups_Otimes__class_Otimes( X, T ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Z ), Y ) ) = hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, hAPP( c_Groups_Otimes__class_Otimes( X
% 8.09/8.48    , T ), Z ) ), Y ) }.
% 8.09/8.48  (20732) {G0,W5,D3,L1,V0,M1}  { c_Orderings_Oord__class_Oless( 
% 8.09/8.48    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol2
% 8.09/8.48     ) }.
% 8.09/8.48  (20733) {G0,W5,D3,L1,V0,M1}  { c_Orderings_Oord__class_Oless( 
% 8.09/8.48    tc_RealDef_Oreal, skol2, c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) )
% 8.09/8.48     }.
% 8.09/8.48  (20734) {G0,W7,D3,L1,V0,M1}  { c_Orderings_Oord__class_Oless( 
% 8.09/8.48    tc_RealDef_Oreal, skol2, c_Rings_Oinverse__class_Odivide( 
% 8.09/8.48    tc_RealDef_Oreal, v_e, v_m____ ) ) }.
% 8.09/8.48  (20735) {G0,W5,D3,L1,V0,M1}  { c_Orderings_Oord__class_Oless( 
% 8.09/8.48    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol3
% 8.09/8.48     ) }.
% 8.09/8.48  (20736) {G0,W5,D3,L1,V0,M1}  { c_Orderings_Oord__class_Oless( 
% 8.09/8.48    tc_RealDef_Oreal, skol3, c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) )
% 8.09/8.48     }.
% 8.09/8.48  (20737) {G0,W7,D3,L1,V0,M1}  { c_Orderings_Oord__class_Oless( 
% 8.09/8.48    tc_RealDef_Oreal, skol3, c_Rings_Oinverse__class_Odivide( 
% 8.09/8.48    tc_RealDef_Oreal, v_e, v_m____ ) ) }.
% 8.09/8.48  (20738) {G0,W30,D4,L5,V4,M5}  { ! class_Fields_Olinordered__field( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 8.09/8.48    ( X, T, c_Groups_Ozero__class_Ozero( X ) ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), hAPP
% 8.09/8.48    ( c_Groups_Otimes__class_Otimes( X, Z ), Y ) ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T, 
% 8.09/8.48    Z ), c_Rings_Oinverse__class_Odivide( X, T, Y ) ) }.
% 8.09/8.48  (20739) {G0,W30,D4,L5,V4,M5}  { ! class_Fields_Olinordered__field( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 8.09/8.48    ( X, c_Groups_Ozero__class_Ozero( X ), T ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), hAPP
% 8.09/8.48    ( c_Groups_Otimes__class_Otimes( X, Y ), Z ) ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T, 
% 8.09/8.48    Y ), c_Rings_Oinverse__class_Odivide( X, T, Z ) ) }.
% 8.09/8.48  (20740) {G0,W22,D4,L4,V4,M4}  { ! class_Fields_Olinordered__field( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ), 
% 8.09/8.48    ! c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T
% 8.09/8.48    , Y ), Z ), c_Orderings_Oord__class_Oless( X, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Z ), Y ), T ) }.
% 8.09/8.48  (20741) {G0,W22,D4,L4,V4,M4}  { ! class_Fields_Olinordered__field( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ), 
% 8.09/8.48    ! c_Orderings_Oord__class_Oless( X, hAPP( c_Groups_Otimes__class_Otimes( 
% 8.09/8.48    X, Z ), Y ), T ), c_Orderings_Oord__class_Oless( X, 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ) }.
% 8.09/8.48  (20742) {G0,W22,D4,L4,V4,M4}  { ! class_Fields_Olinordered__field( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ), 
% 8.09/8.48    ! c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X
% 8.09/8.48    , Z, Y ) ), c_Orderings_Oord__class_Oless( X, Z, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, T ), Y ) ) }.
% 8.09/8.48  (20743) {G0,W22,D4,L4,V4,M4}  { ! class_Fields_Olinordered__field( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ), 
% 8.09/8.48    ! c_Orderings_Oord__class_Oless( X, Z, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, T ), Y ) ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X, 
% 8.09/8.48    Z, Y ) ) }.
% 8.09/8.48  (20744) {G0,W22,D4,L4,V4,M4}  { ! class_Fields_Olinordered__field( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ), 
% 8.09/8.48    ! c_Orderings_Oord__class_Oless( X, hAPP( c_Groups_Otimes__class_Otimes( 
% 8.09/8.48    X, T ), Y ), Z ), c_Orderings_Oord__class_Oless( X, T, 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 8.09/8.48  (20745) {G0,W22,D4,L4,V4,M4}  { ! class_Fields_Olinordered__field( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ), 
% 8.09/8.48    ! c_Orderings_Oord__class_Oless( X, T, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Z ), Y ) ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T, 
% 8.09/8.48    Y ), Z ) }.
% 8.09/8.48  (20746) {G0,W22,D4,L4,V4,M4}  { ! class_Fields_Olinordered__field( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ), 
% 8.09/8.48    ! c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T
% 8.09/8.48    , Y ), Z ), c_Orderings_Oord__class_Oless( X, T, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Z ), Y ) ) }.
% 8.09/8.48  (20747) {G0,W22,D4,L4,V4,M4}  { ! class_Fields_Olinordered__field( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ), 
% 8.09/8.48    ! c_Orderings_Oord__class_Oless( X, T, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Z ), Y ) ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T, 
% 8.09/8.48    Y ), Z ) }.
% 8.09/8.48  (20748) {G0,W22,D4,L4,V4,M4}  { ! class_Fields_Olinordered__field( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ), 
% 8.09/8.48    ! c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X
% 8.09/8.48    , Z, Y ) ), c_Orderings_Oord__class_Oless( X, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, T ), Y ), Z ) }.
% 8.09/8.48  (20749) {G0,W22,D4,L4,V4,M4}  { ! class_Fields_Olinordered__field( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ), 
% 8.09/8.48    ! c_Orderings_Oord__class_Oless( X, hAPP( c_Groups_Otimes__class_Otimes( 
% 8.09/8.48    X, T ), Y ), Z ), c_Orderings_Oord__class_Oless( X, T, 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 8.09/8.48  (20750) {G0,W14,D3,L3,V4,M3}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T, 
% 8.09/8.48    Z ), Y ), alpha29( X, Y, Z, T ) }.
% 8.09/8.48  (20751) {G0,W14,D3,L3,V4,M3}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T, 
% 8.09/8.48    Z ), Y ), alpha56( X, Y, Z, T ) }.
% 8.09/8.48  (20752) {G0,W19,D3,L4,V4,M4}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! alpha29( X, Y, Z, 
% 8.09/8.48    T ), ! alpha56( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( X, T, Z ), Y ) }.
% 8.09/8.48  (20753) {G0,W15,D3,L3,V4,M3}  { ! alpha56( X, Y, Z, T ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ), 
% 8.09/8.48    alpha68( X, Y, Z, T ) }.
% 8.09/8.48  (20754) {G0,W10,D3,L2,V4,M2}  { ! c_Orderings_Oord__class_Oless( X, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), Z ), alpha56( X, Y, Z, T ) }.
% 8.09/8.48  (20755) {G0,W10,D2,L2,V4,M2}  { ! alpha68( X, Y, Z, T ), alpha56( X, Y, Z, 
% 8.09/8.48    T ) }.
% 8.09/8.48  (20756) {G0,W10,D2,L2,V4,M2}  { ! alpha68( X, Y, Z, T ), alpha80( X, Y, Z, 
% 8.09/8.48    T ) }.
% 8.09/8.48  (20757) {G0,W9,D2,L2,V4,M2}  { ! alpha68( X, Y, Z, T ), alpha1( X, Y, Z )
% 8.09/8.48     }.
% 8.09/8.48  (20758) {G0,W14,D2,L3,V4,M3}  { ! alpha80( X, Y, Z, T ), ! alpha1( X, Y, Z
% 8.09/8.48     ), alpha68( X, Y, Z, T ) }.
% 8.09/8.48  (20759) {G0,W18,D4,L3,V4,M3}  { ! alpha80( X, Y, Z, T ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, hAPP( c_Groups_Otimes__class_Otimes( X
% 8.09/8.48    , Y ), Z ), T ) }.
% 8.09/8.48  (20760) {G0,W10,D3,L2,V4,M2}  { c_Orderings_Oord__class_Oless( X, Z, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ) ), alpha80( X, Y, Z, T ) }.
% 8.09/8.48  (20761) {G0,W13,D4,L2,V4,M2}  { ! c_Orderings_Oord__class_Oless( X, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Y ), Z ), T ), alpha80( X, Y, Z, T )
% 8.09/8.48     }.
% 8.09/8.48  (20762) {G0,W18,D4,L3,V4,M3}  { ! alpha29( X, Y, Z, T ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, T, hAPP( c_Groups_Otimes__class_Otimes
% 8.09/8.48    ( X, Y ), Z ) ) }.
% 8.09/8.48  (20763) {G0,W10,D3,L2,V4,M2}  { c_Orderings_Oord__class_Oless( X, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), Z ), alpha29( X, Y, Z, T ) }.
% 8.09/8.48  (20764) {G0,W13,D4,L2,V4,M2}  { ! c_Orderings_Oord__class_Oless( X, T, hAPP
% 8.09/8.48    ( c_Groups_Otimes__class_Otimes( X, Y ), Z ) ), alpha29( X, Y, Z, T ) }.
% 8.09/8.48  (20765) {G0,W14,D3,L3,V3,M3}  { ! alpha1( X, Y, Z ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 8.09/8.48     }.
% 8.09/8.48  (20766) {G0,W9,D3,L2,V3,M2}  { ! c_Orderings_Oord__class_Oless( X, Z, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ) ), alpha1( X, Y, Z ) }.
% 8.09/8.48  (20767) {G0,W9,D3,L2,V3,M2}  { ! c_Orderings_Oord__class_Oless( X, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), Y ), alpha1( X, Y, Z ) }.
% 8.09/8.48  (20768) {G0,W14,D3,L3,V4,M3}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X, 
% 8.09/8.48    Z, Y ) ), alpha30( X, Y, Z, T ) }.
% 8.09/8.48  (20769) {G0,W14,D3,L3,V4,M3}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X, 
% 8.09/8.48    Z, Y ) ), alpha57( X, Y, Z, T ) }.
% 8.09/8.48  (20770) {G0,W19,D3,L4,V4,M4}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! alpha30( X, Y, Z, 
% 8.09/8.48    T ), ! alpha57( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, T, 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 8.09/8.48  (20771) {G0,W15,D3,L3,V4,M3}  { ! alpha57( X, Y, Z, T ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ), 
% 8.09/8.48    alpha69( X, Y, Z, T ) }.
% 8.09/8.48  (20772) {G0,W10,D3,L2,V4,M2}  { ! c_Orderings_Oord__class_Oless( X, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), Y ), alpha57( X, Y, Z, T ) }.
% 8.09/8.48  (20773) {G0,W10,D2,L2,V4,M2}  { ! alpha69( X, Y, Z, T ), alpha57( X, Y, Z, 
% 8.09/8.48    T ) }.
% 8.09/8.48  (20774) {G0,W10,D2,L2,V4,M2}  { ! alpha69( X, Y, Z, T ), alpha81( X, Y, Z, 
% 8.09/8.48    T ) }.
% 8.09/8.48  (20775) {G0,W9,D2,L2,V4,M2}  { ! alpha69( X, Y, Z, T ), alpha2( X, Y, T )
% 8.09/8.48     }.
% 8.09/8.48  (20776) {G0,W14,D2,L3,V4,M3}  { ! alpha81( X, Y, Z, T ), ! alpha2( X, Y, T
% 8.09/8.48     ), alpha69( X, Y, Z, T ) }.
% 8.09/8.48  (20777) {G0,W18,D4,L3,V4,M3}  { ! alpha81( X, Y, Z, T ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, hAPP( c_Groups_Otimes__class_Otimes
% 8.09/8.48    ( X, T ), Y ) ) }.
% 8.09/8.48  (20778) {G0,W10,D3,L2,V4,M2}  { c_Orderings_Oord__class_Oless( X, Y, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ) ), alpha81( X, Y, Z, T ) }.
% 8.09/8.48  (20779) {G0,W13,D4,L2,V4,M2}  { ! c_Orderings_Oord__class_Oless( X, Z, hAPP
% 8.09/8.48    ( c_Groups_Otimes__class_Otimes( X, T ), Y ) ), alpha81( X, Y, Z, T ) }.
% 8.09/8.48  (20780) {G0,W18,D4,L3,V4,M3}  { ! alpha30( X, Y, Z, T ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, hAPP( c_Groups_Otimes__class_Otimes( X
% 8.09/8.48    , T ), Y ), Z ) }.
% 8.09/8.48  (20781) {G0,W10,D3,L2,V4,M2}  { c_Orderings_Oord__class_Oless( X, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), Y ), alpha30( X, Y, Z, T ) }.
% 8.09/8.48  (20782) {G0,W13,D4,L2,V4,M2}  { ! c_Orderings_Oord__class_Oless( X, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, T ), Y ), Z ), alpha30( X, Y, Z, T )
% 8.09/8.48     }.
% 8.09/8.48  (20783) {G0,W14,D3,L3,V3,M3}  { ! alpha2( X, Y, Z ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 8.09/8.48     }.
% 8.09/8.48  (20784) {G0,W9,D3,L2,V3,M2}  { ! c_Orderings_Oord__class_Oless( X, Y, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ) ), alpha2( X, Y, Z ) }.
% 8.09/8.48  (20785) {G0,W9,D3,L2,V3,M2}  { ! c_Orderings_Oord__class_Oless( X, Z, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ) ), alpha2( X, Y, Z ) }.
% 8.09/8.48  (20786) {G0,W26,D5,L2,V5,M2}  { ! class_Fields_Ofield__inverse__zero( X ), 
% 8.09/8.48    hAPP( c_Groups_Otimes__class_Otimes( X, c_Rings_Oinverse__class_Odivide( 
% 8.09/8.48    X, U, T ) ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) = 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( X, hAPP( c_Groups_Otimes__class_Otimes( 
% 8.09/8.48    X, U ), Z ), hAPP( c_Groups_Otimes__class_Otimes( X, T ), Y ) ) }.
% 8.09/8.48  (20787) {G0,W21,D3,L4,V4,M4}  { ! class_Fields_Olinordered__field( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 8.09/8.48    ( X, T, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 8.09/8.48    ( X, c_Rings_Oinverse__class_Odivide( X, Y, T ), 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 8.09/8.48  (20788) {G0,W21,D3,L4,V4,M4}  { ! class_Fields_Olinordered__field( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 8.09/8.48    ( X, c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless
% 8.09/8.48    ( X, c_Rings_Oinverse__class_Odivide( X, Z, T ), 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( X, Y, T ) ) }.
% 8.09/8.48  (20789) {G0,W20,D3,L4,V3,M4}  { ! class_Fields_Olinordered__field( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ), 
% 8.09/8.48    ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 8.09/8.48    , c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( X, Y, Z ) ) }.
% 8.09/8.48  (20790) {G0,W20,D3,L4,V3,M4}  { ! class_Fields_Olinordered__field( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ), 
% 8.09/8.48    ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 8.09/8.48    , c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, Y
% 8.09/8.48    , Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 8.09/8.48  (20791) {G0,W20,D3,L4,V3,M4}  { ! class_Fields_Olinordered__field( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ), 
% 8.09/8.48    ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 8.09/8.48    , c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, Y
% 8.09/8.48    , Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 8.09/8.48  (20792) {G0,W20,D3,L4,V3,M4}  { ! class_Fields_Olinordered__field( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ), 
% 8.09/8.48    ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 8.09/8.48    , c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( X, Y, Z ) ) }.
% 8.09/8.48  (20793) {G0,W18,D3,L4,V3,M4}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, Z, 
% 8.09/8.48    Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha3( X, Y, Z ), alpha31( X, Y
% 8.09/8.48    , Z ) }.
% 8.09/8.48  (20794) {G0,W14,D3,L3,V3,M3}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! alpha3( X, Y, Z )
% 8.09/8.48    , c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, Z
% 8.09/8.48    , Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 8.09/8.48  (20795) {G0,W14,D3,L3,V3,M3}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! alpha31( X, Y, Z )
% 8.09/8.48    , c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, Z
% 8.09/8.48    , Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 8.09/8.48  (20796) {G0,W9,D3,L2,V3,M2}  { ! alpha31( X, Y, Z ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 8.09/8.48     }.
% 8.09/8.48  (20797) {G0,W9,D3,L2,V3,M2}  { ! alpha31( X, Y, Z ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 8.09/8.48     }.
% 8.09/8.48  (20798) {G0,W14,D3,L3,V3,M3}  { ! c_Orderings_Oord__class_Oless( X, Z, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless( X, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), Y ), alpha31( X, Y, Z ) }.
% 8.09/8.48  (20799) {G0,W9,D3,L2,V3,M2}  { ! alpha3( X, Y, Z ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 8.09/8.48     }.
% 8.09/8.48  (20800) {G0,W9,D3,L2,V3,M2}  { ! alpha3( X, Y, Z ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 8.09/8.48     }.
% 8.09/8.48  (20801) {G0,W14,D3,L3,V3,M3}  { ! c_Orderings_Oord__class_Oless( X, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), Z ), ! c_Orderings_Oord__class_Oless( X
% 8.09/8.48    , Y, c_Groups_Ozero__class_Ozero( X ) ), alpha3( X, Y, Z ) }.
% 8.09/8.48  (20802) {G0,W18,D3,L4,V3,M4}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( X, Z, Y ) ), alpha4( X, Y, Z ), alpha32
% 8.09/8.48    ( X, Y, Z ) }.
% 8.09/8.48  (20803) {G0,W14,D3,L3,V3,M3}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! alpha4( X, Y, Z )
% 8.09/8.48    , c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 8.09/8.48  (20804) {G0,W14,D3,L3,V3,M3}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! alpha32( X, Y, Z )
% 8.09/8.48    , c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 8.09/8.48  (20805) {G0,W9,D3,L2,V3,M2}  { ! alpha32( X, Y, Z ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 8.09/8.48     }.
% 8.09/8.48  (20806) {G0,W9,D3,L2,V3,M2}  { ! alpha32( X, Y, Z ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 8.09/8.48     }.
% 8.09/8.48  (20807) {G0,W14,D3,L3,V3,M3}  { ! c_Orderings_Oord__class_Oless( X, Z, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless( X, Y
% 8.09/8.48    , c_Groups_Ozero__class_Ozero( X ) ), alpha32( X, Y, Z ) }.
% 8.09/8.48  (20808) {G0,W9,D3,L2,V3,M2}  { ! alpha4( X, Y, Z ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 8.09/8.48     }.
% 8.09/8.48  (20809) {G0,W9,D3,L2,V3,M2}  { ! alpha4( X, Y, Z ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 8.09/8.48     }.
% 8.09/8.48  (20810) {G0,W14,D3,L3,V3,M3}  { ! c_Orderings_Oord__class_Oless( X, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), Z ), ! c_Orderings_Oord__class_Oless( X
% 8.09/8.48    , c_Groups_Ozero__class_Ozero( X ), Y ), alpha4( X, Y, Z ) }.
% 8.09/8.48  (20811) {G0,W30,D4,L5,V5,M5}  { ! class_Fields_Ofield( X ), Y = 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ), !
% 8.09/8.48     c_Rings_Oinverse__class_Odivide( X, U, Y ) = 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( X, T, Z ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, U ), Z ) = hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, T ), Y ) }.
% 8.09/8.48  (20812) {G0,W30,D4,L5,V5,M5}  { ! class_Fields_Ofield( X ), Y = 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ), !
% 8.09/8.48     hAPP( c_Groups_Otimes__class_Otimes( X, U ), Z ) = hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, T ), Y ), 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( X, U, Y ) = 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( X, T, Z ) }.
% 8.09/8.48  (20813) {G0,W23,D5,L3,V4,M3}  { ! class_Fields_Ofield__inverse__zero( X ), 
% 8.09/8.48    Y = c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X
% 8.09/8.48    , hAPP( c_Groups_Otimes__class_Otimes( X, Y ), T ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Y ), Z ) ) = 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( X, T, Z ) }.
% 8.09/8.48  (20814) {G0,W23,D5,L3,V4,M3}  { ! class_Fields_Ofield__inverse__zero( X ), 
% 8.09/8.48    Y = c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X
% 8.09/8.48    , hAPP( c_Groups_Otimes__class_Otimes( X, T ), Y ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Z ), Y ) ) = 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( X, T, Z ) }.
% 8.09/8.48  (20815) {G0,W13,D3,L3,V4,M3}  { ! class_Fields_Ofield__inverse__zero( X ), 
% 8.09/8.48    ! c_Rings_Oinverse__class_Odivide( X, T, Z ) = Y, alpha33( X, Y, Z, T )
% 8.09/8.48     }.
% 8.09/8.48  (20816) {G0,W12,D3,L3,V4,M3}  { ! class_Fields_Ofield__inverse__zero( X ), 
% 8.09/8.48    ! c_Rings_Oinverse__class_Odivide( X, T, Z ) = Y, alpha5( X, Y, Z ) }.
% 8.09/8.48  (20817) {G0,W17,D3,L4,V4,M4}  { ! class_Fields_Ofield__inverse__zero( X ), 
% 8.09/8.48    ! alpha33( X, Y, Z, T ), ! alpha5( X, Y, Z ), 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( X, T, Z ) = Y }.
% 8.09/8.48  (20818) {G0,W16,D4,L3,V4,M3}  { ! alpha33( X, Y, Z, T ), Z = 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), T = hAPP( c_Groups_Otimes__class_Otimes
% 8.09/8.48    ( X, Y ), Z ) }.
% 8.09/8.48  (20819) {G0,W9,D3,L2,V4,M2}  { ! Z = c_Groups_Ozero__class_Ozero( X ), 
% 8.09/8.48    alpha33( X, Y, Z, T ) }.
% 8.09/8.48  (20820) {G0,W12,D4,L2,V4,M2}  { ! T = hAPP( c_Groups_Otimes__class_Otimes( 
% 8.09/8.48    X, Y ), Z ), alpha33( X, Y, Z, T ) }.
% 8.09/8.48  (20821) {G0,W12,D3,L3,V3,M3}  { ! alpha5( X, Y, Z ), ! Z = 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 8.09/8.48     }.
% 8.09/8.48  (20822) {G0,W8,D3,L2,V3,M2}  { Z = c_Groups_Ozero__class_Ozero( X ), alpha5
% 8.09/8.48    ( X, Y, Z ) }.
% 8.09/8.48  (20823) {G0,W8,D3,L2,V3,M2}  { ! Y = c_Groups_Ozero__class_Ozero( X ), 
% 8.09/8.48    alpha5( X, Y, Z ) }.
% 8.09/8.48  (20824) {G0,W13,D3,L3,V4,M3}  { ! class_Fields_Ofield__inverse__zero( X ), 
% 8.09/8.48    ! T = c_Rings_Oinverse__class_Odivide( X, Z, Y ), alpha34( X, Y, Z, T )
% 8.09/8.48     }.
% 8.09/8.48  (20825) {G0,W12,D3,L3,V4,M3}  { ! class_Fields_Ofield__inverse__zero( X ), 
% 8.09/8.48    ! T = c_Rings_Oinverse__class_Odivide( X, Z, Y ), alpha6( X, Y, T ) }.
% 8.09/8.48  (20826) {G0,W17,D3,L4,V4,M4}  { ! class_Fields_Ofield__inverse__zero( X ), 
% 8.09/8.48    ! alpha34( X, Y, Z, T ), ! alpha6( X, Y, T ), T = 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 8.09/8.48  (20827) {G0,W16,D4,L3,V4,M3}  { ! alpha34( X, Y, Z, T ), Y = 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), hAPP( c_Groups_Otimes__class_Otimes( X
% 8.09/8.48    , T ), Y ) = Z }.
% 8.09/8.48  (20828) {G0,W9,D3,L2,V4,M2}  { ! Y = c_Groups_Ozero__class_Ozero( X ), 
% 8.09/8.48    alpha34( X, Y, Z, T ) }.
% 8.09/8.48  (20829) {G0,W12,D4,L2,V4,M2}  { ! hAPP( c_Groups_Otimes__class_Otimes( X, T
% 8.09/8.48     ), Y ) = Z, alpha34( X, Y, Z, T ) }.
% 8.09/8.48  (20830) {G0,W12,D3,L3,V3,M3}  { ! alpha6( X, Y, Z ), ! Y = 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X )
% 8.09/8.48     }.
% 8.09/8.48  (20831) {G0,W8,D3,L2,V3,M2}  { Y = c_Groups_Ozero__class_Ozero( X ), alpha6
% 8.09/8.48    ( X, Y, Z ) }.
% 8.09/8.48  (20832) {G0,W8,D3,L2,V3,M2}  { ! Z = c_Groups_Ozero__class_Ozero( X ), 
% 8.09/8.48    alpha6( X, Y, Z ) }.
% 8.09/8.48  (20833) {G0,W13,D4,L2,V1,M2}  { c_Orderings_Oord__class_Oless( 
% 8.09/8.48    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X ), X ) ), X = 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 8.09/8.48  (20834) {G0,W13,D4,L2,V1,M2}  { ! X = c_Groups_Ozero__class_Ozero( 
% 8.09/8.48    tc_RealDef_Oreal ), ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X ), X ) ) }.
% 8.09/8.48  (20835) {G0,W16,D3,L4,V3,M4}  { ! class_Rings_Odivision__ring( X ), Y = 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), ! c_Rings_Oinverse__class_Odivide( X, Z
% 8.09/8.48    , Y ) = c_Groups_Oone__class_Oone( X ), Z = Y }.
% 8.09/8.48  (20836) {G0,W16,D3,L4,V3,M4}  { ! class_Rings_Odivision__ring( X ), Y = 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), ! Z = Y, 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( X, Z, Y ) = c_Groups_Oone__class_Oone( X
% 8.09/8.48     ) }.
% 8.09/8.48  (20837) {G0,W13,D3,L3,V2,M3}  { ! class_Rings_Odivision__ring( X ), Y = 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y, 
% 8.09/8.48    Y ) = c_Groups_Oone__class_Oone( X ) }.
% 8.09/8.48  (20838) {G0,W13,D3,L3,V2,M3}  { ! 
% 8.09/8.48    class_Rings_Odivision__ring__inverse__zero( X ), ! Y = 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y, 
% 8.09/8.48    Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 8.09/8.48  (20839) {G0,W13,D3,L3,V2,M3}  { ! 
% 8.09/8.48    class_Rings_Odivision__ring__inverse__zero( X ), Y = 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y, 
% 8.09/8.48    Y ) = c_Groups_Oone__class_Oone( X ) }.
% 8.09/8.48  (20840) {G0,W19,D4,L4,V4,M4}  { ! class_Rings_Odivision__ring( X ), Y = 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), ! hAPP( c_Groups_Otimes__class_Otimes( 
% 8.09/8.48    X, T ), Y ) = Z, T = c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 8.09/8.48  (20841) {G0,W19,D4,L4,V4,M4}  { ! class_Rings_Odivision__ring( X ), Y = 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), ! T = hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Z ), Y ), 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( X, T, Y ) = Z }.
% 8.09/8.48  (20842) {G0,W19,D4,L4,V4,M4}  { ! class_Rings_Odivision__ring( X ), Y = 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), ! c_Rings_Oinverse__class_Odivide( X, T
% 8.09/8.48    , Y ) = Z, T = hAPP( c_Groups_Otimes__class_Otimes( X, Z ), Y ) }.
% 8.09/8.48  (20843) {G0,W19,D4,L4,V4,M4}  { ! class_Rings_Odivision__ring( X ), Y = 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), ! T = hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Z ), Y ), 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( X, T, Y ) = Z }.
% 8.09/8.48  (20844) {G0,W19,D4,L4,V4,M4}  { ! class_Rings_Odivision__ring( X ), Y = 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), ! T = c_Rings_Oinverse__class_Odivide( 
% 8.09/8.48    X, Z, Y ), hAPP( c_Groups_Otimes__class_Otimes( X, T ), Y ) = Z }.
% 8.09/8.48  (20845) {G0,W19,D4,L4,V4,M4}  { ! class_Rings_Odivision__ring( X ), Y = 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), ! hAPP( c_Groups_Otimes__class_Otimes( 
% 8.09/8.48    X, T ), Y ) = Z, T = c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 8.09/8.48  (20846) {G0,W21,D4,L4,V3,M4}  { ! class_Rings_Olinordered__semidom( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ), Y ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ), Z ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Y ), Z ) ) }.
% 8.09/8.48  (20847) {G0,W8,D3,L2,V1,M2}  { ! class_Rings_Olinordered__semidom( X ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), 
% 8.09/8.48    c_Groups_Oone__class_Oone( X ) ) }.
% 8.09/8.48  (20848) {G0,W8,D3,L2,V1,M2}  { ! class_Rings_Olinordered__semidom( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ), 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ) ) }.
% 8.09/8.48  (20849) {G0,W13,D2,L4,V3,M4}  { ! class_Rings_Olinordered__idom( X ), Z = Y
% 8.09/8.48    , c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless
% 8.09/8.48    ( X, Y, Z ) }.
% 8.09/8.48  (20850) {G0,W18,D4,L4,V3,M4}  { ! class_Rings_Ono__zero__divisors( X ), ! 
% 8.09/8.48    hAPP( c_Groups_Otimes__class_Otimes( X, Z ), Y ) = 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ), Y
% 8.09/8.48     = c_Groups_Ozero__class_Ozero( X ) }.
% 8.09/8.48  (20851) {G0,W18,D4,L4,V3,M4}  { ! class_Rings_Ono__zero__divisors( X ), Y =
% 8.09/8.48     c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ), 
% 8.09/8.48    ! hAPP( c_Groups_Otimes__class_Otimes( X, Y ), Z ) = 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ) }.
% 8.09/8.48  (20852) {G0,W18,D4,L4,V3,M4}  { ! class_Rings_Oring__no__zero__divisors( X
% 8.09/8.48     ), ! hAPP( c_Groups_Otimes__class_Otimes( X, Z ), Y ) = 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ), Y
% 8.09/8.48     = c_Groups_Ozero__class_Ozero( X ) }.
% 8.09/8.48  (20853) {G0,W14,D4,L3,V3,M3}  { ! class_Rings_Oring__no__zero__divisors( X
% 8.09/8.48     ), ! Z = c_Groups_Ozero__class_Ozero( X ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Z ), Y ) = c_Groups_Ozero__class_Ozero
% 8.09/8.48    ( X ) }.
% 8.09/8.48  (20854) {G0,W14,D4,L3,V3,M3}  { ! class_Rings_Oring__no__zero__divisors( X
% 8.09/8.48     ), ! Y = c_Groups_Ozero__class_Ozero( X ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Z ), Y ) = c_Groups_Ozero__class_Ozero
% 8.09/8.48    ( X ) }.
% 8.09/8.48  (20855) {G0,W11,D4,L2,V2,M2}  { ! class_Rings_Omult__zero( X ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Y ), c_Groups_Ozero__class_Ozero( X ) )
% 8.09/8.48     = c_Groups_Ozero__class_Ozero( X ) }.
% 8.09/8.48  (20856) {G0,W11,D5,L2,V2,M2}  { ! class_Rings_Omult__zero( X ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, c_Groups_Ozero__class_Ozero( X ) ), Y )
% 8.09/8.48     = c_Groups_Ozero__class_Ozero( X ) }.
% 8.09/8.48  (20857) {G0,W7,D3,L2,V1,M2}  { ! class_Rings_Ozero__neq__one( X ), ! 
% 8.09/8.48    c_Groups_Oone__class_Oone( X ) = c_Groups_Ozero__class_Ozero( X ) }.
% 8.09/8.48  (20858) {G0,W7,D3,L2,V1,M2}  { ! class_Rings_Ozero__neq__one( X ), ! 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ) = c_Groups_Oone__class_Oone( X ) }.
% 8.09/8.48  (20859) {G0,W10,D4,L2,V2,M2}  { ! class_Rings_Odivision__ring( X ), 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 8.09/8.48     = c_Groups_Ozero__class_Ozero( X ) }.
% 8.09/8.48  (20860) {G0,W10,D4,L2,V2,M2}  { ! 
% 8.09/8.48    class_Rings_Odivision__ring__inverse__zero( X ), 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 8.09/8.48     = c_Groups_Ozero__class_Ozero( X ) }.
% 8.09/8.48  (20861) {G0,W19,D5,L2,V4,M2}  { ! class_Rings_Odivision__ring( X ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, T ), c_Rings_Oinverse__class_Odivide( X
% 8.09/8.48    , Z, Y ) ) = c_Rings_Oinverse__class_Odivide( X, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, T ), Z ), Y ) }.
% 8.09/8.48  (20862) {G0,W9,D4,L2,V2,M2}  { ! class_Rings_Odivision__ring( X ), 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( X, Y, c_Groups_Oone__class_Oone( X ) ) =
% 8.09/8.48     Y }.
% 8.09/8.48  (20863) {G0,W17,D5,L1,V2,M1}  { c_Rings_Oinverse__class_Odivide( 
% 8.09/8.48    tc_RealDef_Oreal, hAPP( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, 
% 8.09/8.48    Y ), X ), hAPP( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y ), Y )
% 8.09/8.48     ) = c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X, Y ) }.
% 8.09/8.48  (20864) {G0,W23,D4,L4,V4,M4}  { ! class_Rings_Olinordered__ring__strict( X
% 8.09/8.48     ), ! c_Orderings_Oord__class_Oless( X, Z, Y ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, T, c_Groups_Ozero__class_Ozero( X ) ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, hAPP( c_Groups_Otimes__class_Otimes( X
% 8.09/8.48    , T ), Y ), hAPP( c_Groups_Otimes__class_Otimes( X, T ), Z ) ) }.
% 8.09/8.48  (20865) {G0,W23,D4,L4,V4,M4}  { ! class_Rings_Olinordered__ring__strict( X
% 8.09/8.48     ), ! c_Orderings_Oord__class_Oless( X, Z, Y ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, T, c_Groups_Ozero__class_Ozero( X ) ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, hAPP( c_Groups_Otimes__class_Otimes( X
% 8.09/8.48    , Y ), T ), hAPP( c_Groups_Otimes__class_Otimes( X, Z ), T ) ) }.
% 8.09/8.48  (20866) {G0,W23,D4,L4,V4,M4}  { ! 
% 8.09/8.48    class_Rings_Olinordered__comm__semiring__strict( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 8.09/8.48    ( X, c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless
% 8.09/8.48    ( X, hAPP( c_Groups_Otimes__class_Otimes( X, T ), Z ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, T ), Y ) ) }.
% 8.09/8.48  (20867) {G0,W23,D4,L4,V4,M4}  { ! class_Rings_Olinordered__semiring__strict
% 8.09/8.48    ( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, hAPP( c_Groups_Otimes__class_Otimes( X
% 8.09/8.48    , T ), Z ), hAPP( c_Groups_Otimes__class_Otimes( X, T ), Y ) ) }.
% 8.09/8.48  (20868) {G0,W23,D4,L4,V4,M4}  { ! class_Rings_Olinordered__semiring__strict
% 8.09/8.48    ( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, hAPP( c_Groups_Otimes__class_Otimes( X
% 8.09/8.48    , Z ), T ), hAPP( c_Groups_Otimes__class_Otimes( X, Y ), T ) ) }.
% 8.09/8.48  (20869) {G0,W21,D4,L4,V3,M4}  { ! class_Rings_Olinordered__ring__strict( X
% 8.09/8.48     ), ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X
% 8.09/8.48     ) ), ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero
% 8.09/8.48    ( X ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X
% 8.09/8.48     ), hAPP( c_Groups_Otimes__class_Otimes( X, Y ), Z ) ) }.
% 8.09/8.48  (20870) {G0,W21,D4,L4,V3,M4}  { ! class_Rings_Olinordered__semiring__strict
% 8.09/8.48    ( X ), ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero
% 8.09/8.48    ( X ) ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero
% 8.09/8.48    ( X ), Z ), c_Orderings_Oord__class_Oless( X, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Y ), Z ), c_Groups_Ozero__class_Ozero( 
% 8.09/8.48    X ) ) }.
% 8.09/8.48  (20871) {G0,W23,D4,L4,V4,M4}  { ! class_Rings_Olinordered__ring__strict( X
% 8.09/8.48     ), ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X
% 8.09/8.48     ) ), ! c_Orderings_Oord__class_Oless( X, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Y ), T ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Y ), Z ) ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 8.09/8.48  (20872) {G0,W23,D4,L4,V4,M4}  { ! class_Rings_Olinordered__ring__strict( X
% 8.09/8.48     ), ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X
% 8.09/8.48     ) ), ! c_Orderings_Oord__class_Oless( X, Z, T ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, hAPP( c_Groups_Otimes__class_Otimes( X
% 8.09/8.48    , Y ), T ), hAPP( c_Groups_Otimes__class_Otimes( X, Y ), Z ) ) }.
% 8.09/8.48  (20873) {G0,W21,D4,L4,V3,M4}  { ! class_Rings_Olinordered__semiring__strict
% 8.09/8.48    ( X ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X
% 8.09/8.48     ), hAPP( c_Groups_Otimes__class_Otimes( X, Z ), Y ) ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 8.09/8.48     }.
% 8.09/8.48  (20874) {G0,W21,D4,L4,V3,M4}  { ! class_Rings_Olinordered__semiring__strict
% 8.09/8.48    ( X ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X
% 8.09/8.48     ), hAPP( c_Groups_Otimes__class_Otimes( X, Z ), Y ) ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 8.09/8.48     }.
% 8.09/8.48  (20875) {G0,W21,D4,L4,V3,M4}  { ! class_Rings_Olinordered__semiring__strict
% 8.09/8.48    ( X ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X
% 8.09/8.48     ), Y ), ! c_Orderings_Oord__class_Oless( X, Z, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, 
% 8.09/8.48    hAPP( c_Groups_Otimes__class_Otimes( X, Z ), Y ), 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ) ) }.
% 8.09/8.48  (20876) {G0,W21,D4,L4,V3,M4}  { ! class_Rings_Olinordered__semiring__strict
% 8.09/8.48    ( X ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X
% 8.09/8.48     ), Y ), ! c_Orderings_Oord__class_Oless( X, Z, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, 
% 8.09/8.48    hAPP( c_Groups_Otimes__class_Otimes( X, Y ), Z ), 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ) ) }.
% 8.09/8.48  (20877) {G0,W21,D4,L4,V3,M4}  { ! class_Rings_Olinordered__semiring__strict
% 8.09/8.48    ( X ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X
% 8.09/8.48     ), Y ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero
% 8.09/8.48    ( X ), Z ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero
% 8.09/8.48    ( X ), hAPP( c_Groups_Otimes__class_Otimes( X, Y ), Z ) ) }.
% 8.09/8.48  (20878) {G0,W23,D4,L4,V4,M4}  { ! class_Rings_Olinordered__ring__strict( X
% 8.09/8.48     ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 8.09/8.48    , Y ), ! c_Orderings_Oord__class_Oless( X, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Y ), T ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Y ), Z ) ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, T, Z ) }.
% 8.09/8.48  (20879) {G0,W23,D4,L4,V4,M4}  { ! class_Rings_Olinordered__ring__strict( X
% 8.09/8.48     ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 8.09/8.48    , Y ), ! c_Orderings_Oord__class_Oless( X, T, Z ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, hAPP( c_Groups_Otimes__class_Otimes( X
% 8.09/8.48    , Y ), T ), hAPP( c_Groups_Otimes__class_Otimes( X, Y ), Z ) ) }.
% 8.09/8.48  (20880) {G0,W24,D4,L4,V4,M4}  { ! class_Rings_Olinordered__ring__strict( X
% 8.09/8.48     ), ! c_Orderings_Oord__class_Oless( X, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, T ), Z ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, T ), Y ) ), alpha7( X, Y, Z, T ), 
% 8.09/8.48    alpha35( X, Y, Z, T ) }.
% 8.09/8.48  (20881) {G0,W19,D4,L3,V4,M3}  { ! class_Rings_Olinordered__ring__strict( X
% 8.09/8.48     ), ! alpha7( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, T ), Z ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, T ), Y ) ) }.
% 8.09/8.48  (20882) {G0,W19,D4,L3,V4,M3}  { ! class_Rings_Olinordered__ring__strict( X
% 8.09/8.48     ), ! alpha35( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, T ), Z ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, T ), Y ) ) }.
% 8.09/8.48  (20883) {G0,W10,D3,L2,V4,M2}  { ! alpha35( X, Y, Z, T ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, T, c_Groups_Ozero__class_Ozero( X ) )
% 8.09/8.48     }.
% 8.09/8.48  (20884) {G0,W9,D2,L2,V4,M2}  { ! alpha35( X, Y, Z, T ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 8.09/8.48  (20885) {G0,W14,D3,L3,V4,M3}  { ! c_Orderings_Oord__class_Oless( X, T, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless( X, Y
% 8.09/8.48    , Z ), alpha35( X, Y, Z, T ) }.
% 8.09/8.48  (20886) {G0,W10,D3,L2,V4,M2}  { ! alpha7( X, Y, Z, T ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T )
% 8.09/8.48     }.
% 8.09/8.48  (20887) {G0,W9,D2,L2,V4,M2}  { ! alpha7( X, Y, Z, T ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 8.09/8.48  (20888) {G0,W14,D3,L3,V4,M3}  { ! c_Orderings_Oord__class_Oless( X, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), T ), ! c_Orderings_Oord__class_Oless( X
% 8.09/8.48    , Z, Y ), alpha7( X, Y, Z, T ) }.
% 8.09/8.48  (20889) {G0,W24,D4,L4,V4,M4}  { ! class_Rings_Olinordered__ring__strict( X
% 8.09/8.48     ), ! c_Orderings_Oord__class_Oless( X, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, T ), Z ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Y ), Z ) ), alpha8( X, Y, Z, T ), 
% 8.09/8.48    alpha36( X, Y, Z, T ) }.
% 8.09/8.48  (20890) {G0,W19,D4,L3,V4,M3}  { ! class_Rings_Olinordered__ring__strict( X
% 8.09/8.48     ), ! alpha8( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, T ), Z ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Y ), Z ) ) }.
% 8.09/8.48  (20891) {G0,W19,D4,L3,V4,M3}  { ! class_Rings_Olinordered__ring__strict( X
% 8.09/8.48     ), ! alpha36( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, T ), Z ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Y ), Z ) ) }.
% 8.09/8.48  (20892) {G0,W10,D3,L2,V4,M2}  { ! alpha36( X, Y, Z, T ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 8.09/8.48     }.
% 8.09/8.48  (20893) {G0,W9,D2,L2,V4,M2}  { ! alpha36( X, Y, Z, T ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Y, T ) }.
% 8.09/8.48  (20894) {G0,W14,D3,L3,V4,M3}  { ! c_Orderings_Oord__class_Oless( X, Z, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless( X, Y
% 8.09/8.48    , T ), alpha36( X, Y, Z, T ) }.
% 8.09/8.48  (20895) {G0,W10,D3,L2,V4,M2}  { ! alpha8( X, Y, Z, T ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 8.09/8.48     }.
% 8.09/8.48  (20896) {G0,W9,D2,L2,V4,M2}  { ! alpha8( X, Y, Z, T ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 8.09/8.48  (20897) {G0,W14,D3,L3,V4,M3}  { ! c_Orderings_Oord__class_Oless( X, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), Z ), ! c_Orderings_Oord__class_Oless( X
% 8.09/8.48    , T, Y ), alpha8( X, Y, Z, T ) }.
% 8.09/8.48  (20898) {G0,W11,D4,L2,V2,M2}  { ! class_Rings_Olinordered__ring( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, hAPP( c_Groups_Otimes__class_Otimes( X
% 8.09/8.48    , Y ), Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 8.09/8.48  (20899) {G0,W5,D3,L1,V0,M1}  { c_Orderings_Oord__class_Oless__eq( 
% 8.09/8.48    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), 
% 8.09/8.48    v_da____ ) }.
% 8.09/8.48  (20900) {G0,W10,D4,L2,V2,M2}  { ! class_RealVector_Oreal__normed__field( X
% 8.09/8.48     ), c_Rings_Oinverse__class_Odivide( X, c_Groups_Ozero__class_Ozero( X )
% 8.09/8.48    , Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 8.09/8.48  (20901) {G0,W10,D4,L2,V2,M2}  { ! class_Groups_Ocomm__monoid__mult( X ), 
% 8.09/8.48    hAPP( c_Groups_Otimes__class_Otimes( X, Y ), c_Groups_Oone__class_Oone( X
% 8.09/8.48     ) ) = Y }.
% 8.09/8.48  (20902) {G0,W10,D4,L2,V2,M2}  { ! class_Groups_Omonoid__mult( X ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Y ), c_Groups_Oone__class_Oone( X ) ) =
% 8.09/8.48     Y }.
% 8.09/8.48  (20903) {G0,W10,D5,L2,V2,M2}  { ! class_Groups_Ocomm__monoid__mult( X ), 
% 8.09/8.48    hAPP( c_Groups_Otimes__class_Otimes( X, c_Groups_Oone__class_Oone( X ) )
% 8.09/8.48    , Y ) = Y }.
% 8.09/8.48  (20904) {G0,W10,D5,L2,V2,M2}  { ! class_Groups_Omonoid__mult( X ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, c_Groups_Oone__class_Oone( X ) ), Y ) =
% 8.09/8.48     Y }.
% 8.09/8.48  (20905) {G0,W11,D4,L2,V2,M2}  { ! class_RealVector_Oreal__normed__algebra( 
% 8.09/8.48    X ), hAPP( c_Groups_Otimes__class_Otimes( X, Y ), 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 8.09/8.48  (20906) {G0,W11,D4,L2,V2,M2}  { ! class_RealVector_Oreal__normed__algebra( 
% 8.09/8.48    X ), hAPP( c_Groups_Otimes__class_Otimes( X, Y ), 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 8.09/8.48  (20907) {G0,W11,D5,L2,V2,M2}  { ! class_RealVector_Oreal__normed__algebra( 
% 8.09/8.48    X ), hAPP( c_Groups_Otimes__class_Otimes( X, c_Groups_Ozero__class_Ozero
% 8.09/8.48    ( X ) ), Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 8.09/8.48  (20908) {G0,W11,D5,L2,V2,M2}  { ! class_RealVector_Oreal__normed__algebra( 
% 8.09/8.48    X ), hAPP( c_Groups_Otimes__class_Otimes( X, c_Groups_Ozero__class_Ozero
% 8.09/8.48    ( X ) ), Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 8.09/8.48  (20909) {G0,W4,D2,L1,V1,M1}  { c_Orderings_Oord__class_Oless__eq( 
% 8.09/8.48    tc_RealDef_Oreal, X, X ) }.
% 8.09/8.48  (20910) {G0,W8,D2,L2,V2,M2}  { c_Orderings_Oord__class_Oless__eq( 
% 8.09/8.48    tc_RealDef_Oreal, Y, X ), c_Orderings_Oord__class_Oless__eq( 
% 8.09/8.48    tc_RealDef_Oreal, X, Y ) }.
% 8.09/8.48  (20911) {G0,W12,D2,L3,V3,M3}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.09/8.48    tc_RealDef_Oreal, Y, X ), ! c_Orderings_Oord__class_Oless__eq( 
% 8.09/8.48    tc_RealDef_Oreal, X, Z ), c_Orderings_Oord__class_Oless__eq( 
% 8.09/8.48    tc_RealDef_Oreal, Y, Z ) }.
% 8.09/8.48  (20912) {G0,W11,D2,L3,V2,M3}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.09/8.48    tc_RealDef_Oreal, Y, X ), ! c_Orderings_Oord__class_Oless__eq( 
% 8.09/8.48    tc_RealDef_Oreal, X, Y ), Y = X }.
% 8.09/8.48  (20913) {G0,W8,D2,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.09/8.48    tc_RealDef_Oreal, Y, X ), c_Orderings_Oord__class_Oless__eq( 
% 8.09/8.48    tc_RealDef_Oreal, Y, X ) }.
% 8.09/8.48  (20914) {G0,W7,D2,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.09/8.48    tc_RealDef_Oreal, Y, X ), ! Y = X }.
% 8.09/8.48  (20915) {G0,W11,D2,L3,V2,M3}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.09/8.48    tc_RealDef_Oreal, Y, X ), Y = X, c_Orderings_Oord__class_Oless( 
% 8.09/8.48    tc_RealDef_Oreal, Y, X ) }.
% 8.09/8.48  (20916) {G0,W11,D2,L3,V2,M3}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.09/8.48    tc_RealDef_Oreal, Y, X ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal
% 8.09/8.48    , Y, X ), Y = X }.
% 8.09/8.48  (20917) {G0,W8,D2,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.09/8.48    tc_RealDef_Oreal, Y, X ), c_Orderings_Oord__class_Oless__eq( 
% 8.09/8.48    tc_RealDef_Oreal, Y, X ) }.
% 8.09/8.48  (20918) {G0,W7,D2,L2,V2,M2}  { ! Y = X, c_Orderings_Oord__class_Oless__eq( 
% 8.09/8.48    tc_RealDef_Oreal, Y, X ) }.
% 8.09/8.48  (20919) {G0,W21,D4,L4,V3,M4}  { ! class_Rings_Oordered__cancel__semiring( X
% 8.09/8.48     ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( 
% 8.09/8.48    X ), Z ), ! c_Orderings_Oord__class_Oless__eq( X, Y, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 8.09/8.48    , hAPP( c_Groups_Otimes__class_Otimes( X, Z ), Y ), 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ) ) }.
% 8.09/8.48  (20920) {G0,W21,D4,L4,V3,M4}  { ! class_Rings_Oordered__cancel__semiring( X
% 8.09/8.48     ), ! c_Orderings_Oord__class_Oless__eq( X, Z, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless__eq( 
% 8.09/8.48    X, c_Groups_Ozero__class_Ozero( X ), Y ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, hAPP( c_Groups_Otimes__class_Otimes
% 8.09/8.48    ( X, Z ), Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 8.09/8.48  (20921) {G0,W21,D4,L4,V3,M4}  { ! class_Rings_Oordered__ring( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 8.09/8.48     ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( 
% 8.09/8.48    X ), Y ), c_Orderings_Oord__class_Oless__eq( X, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), hAPP( c_Groups_Otimes__class_Otimes( X
% 8.09/8.48    , Z ), Y ) ) }.
% 8.09/8.48  (20922) {G0,W21,D4,L4,V3,M4}  { ! class_Rings_Oordered__ring( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X )
% 8.09/8.48     ), ! c_Orderings_Oord__class_Oless__eq( X, Y, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 8.09/8.48    , c_Groups_Ozero__class_Ozero( X ), hAPP( c_Groups_Otimes__class_Otimes( 
% 8.09/8.48    X, Z ), Y ) ) }.
% 8.09/8.48  (20923) {G0,W32,D4,L6,V5,M6}  { ! class_Rings_Oordered__semiring( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, U, T ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 8.09/8.48     ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( 
% 8.09/8.48    X ), U ), c_Orderings_Oord__class_Oless__eq( X, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Z ), U ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Y ), T ) ) }.
% 8.09/8.48  (20924) {G0,W32,D4,L6,V5,M6}  { ! class_Rings_Oordered__semiring( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, U, T ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 8.09/8.48     ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( 
% 8.09/8.48    X ), U ), c_Orderings_Oord__class_Oless__eq( X, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Z ), U ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Y ), T ) ) }.
% 8.09/8.48  (20925) {G0,W23,D4,L4,V4,M4}  { ! class_Rings_Oordered__ring( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Ozero__class_Ozero( X )
% 8.09/8.48     ), c_Orderings_Oord__class_Oless__eq( X, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, T ), Y ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, T ), Z ) ) }.
% 8.09/8.48  (20926) {G0,W23,D4,L4,V4,M4}  { ! class_Rings_Oordered__ring( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Ozero__class_Ozero( X )
% 8.09/8.48     ), c_Orderings_Oord__class_Oless__eq( X, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Y ), T ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Z ), T ) ) }.
% 8.09/8.48  (20927) {G0,W23,D4,L4,V4,M4}  { ! class_Rings_Oordered__comm__semiring( X )
% 8.09/8.48    , ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 8.09/8.48     ), c_Orderings_Oord__class_Oless__eq( X, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, T ), Z ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, T ), Y ) ) }.
% 8.09/8.48  (20928) {G0,W23,D4,L4,V4,M4}  { ! class_Rings_Oordered__semiring( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 8.09/8.48     ), c_Orderings_Oord__class_Oless__eq( X, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, T ), Z ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, T ), Y ) ) }.
% 8.09/8.48  (20929) {G0,W23,D4,L4,V4,M4}  { ! class_Rings_Oordered__semiring( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 8.09/8.48     ), c_Orderings_Oord__class_Oless__eq( X, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Z ), T ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Y ), T ) ) }.
% 8.09/8.48  (20930) {G0,W21,D4,L4,V3,M4}  { ! class_Rings_Oordered__ring( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 8.09/8.48     ), ! c_Orderings_Oord__class_Oless__eq( X, Z, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 8.09/8.48    , c_Groups_Ozero__class_Ozero( X ), hAPP( c_Groups_Otimes__class_Otimes( 
% 8.09/8.48    X, Y ), Z ) ) }.
% 8.09/8.48  (20931) {G0,W21,D4,L4,V3,M4}  { ! class_Rings_Oordered__cancel__semiring( X
% 8.09/8.48     ), ! c_Orderings_Oord__class_Oless__eq( X, Y, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless__eq( 
% 8.09/8.48    X, c_Groups_Ozero__class_Ozero( X ), Z ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, hAPP( c_Groups_Otimes__class_Otimes
% 8.09/8.48    ( X, Y ), Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 8.09/8.48  (20932) {G0,W21,D4,L4,V3,M4}  { ! class_Rings_Oordered__cancel__semiring( X
% 8.09/8.48     ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( 
% 8.09/8.48    X ), Y ), ! c_Orderings_Oord__class_Oless__eq( X, Z, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 8.09/8.48    , hAPP( c_Groups_Otimes__class_Otimes( X, Z ), Y ), 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ) ) }.
% 8.09/8.48  (20933) {G0,W21,D4,L4,V3,M4}  { ! class_Rings_Oordered__cancel__semiring( X
% 8.09/8.48     ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( 
% 8.09/8.48    X ), Y ), ! c_Orderings_Oord__class_Oless__eq( X, Z, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 8.09/8.48    , hAPP( c_Groups_Otimes__class_Otimes( X, Y ), Z ), 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ) ) }.
% 8.09/8.48  (20934) {G0,W21,D4,L4,V3,M4}  { ! class_Rings_Oordered__cancel__semiring( X
% 8.09/8.48     ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( 
% 8.09/8.48    X ), Y ), ! c_Orderings_Oord__class_Oless__eq( X, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless__eq
% 8.09/8.48    ( X, c_Groups_Ozero__class_Ozero( X ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Y ), Z ) ) }.
% 8.09/8.48  (20935) {G0,W19,D4,L4,V3,M4}  { ! class_Rings_Olinordered__ring__strict( X
% 8.09/8.48     ), ! c_Orderings_Oord__class_Oless__eq( X, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Z ), Y ), c_Groups_Ozero__class_Ozero( 
% 8.09/8.48    X ) ), alpha9( X, Y, Z ), alpha37( X, Y, Z ) }.
% 8.09/8.48  (20936) {G0,W15,D4,L3,V3,M3}  { ! class_Rings_Olinordered__ring__strict( X
% 8.09/8.48     ), ! alpha9( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Z ), Y ), c_Groups_Ozero__class_Ozero( 
% 8.09/8.48    X ) ) }.
% 8.09/8.48  (20937) {G0,W15,D4,L3,V3,M3}  { ! class_Rings_Olinordered__ring__strict( X
% 8.09/8.48     ), ! alpha37( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Z ), Y ), c_Groups_Ozero__class_Ozero( 
% 8.09/8.48    X ) ) }.
% 8.09/8.48  (20938) {G0,W9,D3,L2,V3,M2}  { ! alpha37( X, Y, Z ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X )
% 8.09/8.48     ) }.
% 8.09/8.48  (20939) {G0,W9,D3,L2,V3,M2}  { ! alpha37( X, Y, Z ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 8.09/8.48     ) }.
% 8.09/8.48  (20940) {G0,W14,D3,L3,V3,M3}  { ! c_Orderings_Oord__class_Oless__eq( X, Z, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless__eq( 
% 8.09/8.48    X, c_Groups_Ozero__class_Ozero( X ), Y ), alpha37( X, Y, Z ) }.
% 8.09/8.48  (20941) {G0,W9,D3,L2,V3,M2}  { ! alpha9( X, Y, Z ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 8.09/8.48     ) }.
% 8.09/8.48  (20942) {G0,W9,D3,L2,V3,M2}  { ! alpha9( X, Y, Z ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 8.09/8.48     ) }.
% 8.09/8.48  (20943) {G0,W14,D3,L3,V3,M3}  { ! c_Orderings_Oord__class_Oless__eq( X, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), Z ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 8.09/8.48     ), alpha9( X, Y, Z ) }.
% 8.09/8.48  (20944) {G0,W19,D4,L4,V3,M4}  { ! class_Rings_Olinordered__ring__strict( X
% 8.09/8.48     ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( 
% 8.09/8.48    X ), hAPP( c_Groups_Otimes__class_Otimes( X, Z ), Y ) ), alpha10( X, Y, Z
% 8.09/8.48     ), alpha38( X, Y, Z ) }.
% 8.09/8.48  (20945) {G0,W15,D4,L3,V3,M3}  { ! class_Rings_Olinordered__ring__strict( X
% 8.09/8.48     ), ! alpha10( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), hAPP( c_Groups_Otimes__class_Otimes( X
% 8.09/8.48    , Z ), Y ) ) }.
% 8.09/8.48  (20946) {G0,W15,D4,L3,V3,M3}  { ! class_Rings_Olinordered__ring__strict( X
% 8.09/8.48     ), ! alpha38( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), hAPP( c_Groups_Otimes__class_Otimes( X
% 8.09/8.48    , Z ), Y ) ) }.
% 8.09/8.48  (20947) {G0,W9,D3,L2,V3,M2}  { ! alpha38( X, Y, Z ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X )
% 8.09/8.48     ) }.
% 8.09/8.48  (20948) {G0,W9,D3,L2,V3,M2}  { ! alpha38( X, Y, Z ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 8.09/8.48     ) }.
% 8.09/8.48  (20949) {G0,W14,D3,L3,V3,M3}  { ! c_Orderings_Oord__class_Oless__eq( X, Z, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless__eq( 
% 8.09/8.48    X, Y, c_Groups_Ozero__class_Ozero( X ) ), alpha38( X, Y, Z ) }.
% 8.09/8.48  (20950) {G0,W9,D3,L2,V3,M2}  { ! alpha10( X, Y, Z ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 8.09/8.48     ) }.
% 8.09/8.48  (20951) {G0,W9,D3,L2,V3,M2}  { ! alpha10( X, Y, Z ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 8.09/8.48     ) }.
% 8.09/8.48  (20952) {G0,W14,D3,L3,V3,M3}  { ! c_Orderings_Oord__class_Oless__eq( X, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), Z ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 8.09/8.48     ), alpha10( X, Y, Z ) }.
% 8.09/8.48  (20953) {G0,W11,D4,L2,V2,M2}  { ! class_Rings_Olinordered__ring( X ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), 
% 8.09/8.48    hAPP( c_Groups_Otimes__class_Otimes( X, Y ), Y ) ) }.
% 8.09/8.48  (20954) {G0,W8,D3,L2,V1,M2}  { ! class_Rings_Olinordered__semidom( X ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), 
% 8.09/8.48    c_Groups_Oone__class_Oone( X ) ) }.
% 8.09/8.48  (20955) {G0,W8,D3,L2,V1,M2}  { ! class_Rings_Olinordered__semidom( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ), 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ) ) }.
% 8.09/8.48  (20956) {G0,W21,D3,L4,V4,M4}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Ozero__class_Ozero( X )
% 8.09/8.48     ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 8.09/8.48    ( X, Y, T ), c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 8.09/8.48  (20957) {G0,W21,D3,L4,V4,M4}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 8.09/8.48     ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 8.09/8.48    ( X, Z, T ), c_Rings_Oinverse__class_Odivide( X, Y, T ) ) }.
% 8.09/8.48  (20958) {G0,W18,D3,L4,V3,M4}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 8.09/8.48    , Z, Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha11( X, Y, Z ), alpha39
% 8.09/8.48    ( X, Y, Z ) }.
% 8.09/8.48  (20959) {G0,W14,D3,L3,V3,M3}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! alpha11( X, Y, Z )
% 8.09/8.48    , c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( 
% 8.09/8.48    X, Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 8.09/8.48  (20960) {G0,W14,D3,L3,V3,M3}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! alpha39( X, Y, Z )
% 8.09/8.48    , c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( 
% 8.09/8.48    X, Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 8.09/8.48  (20961) {G0,W9,D3,L2,V3,M2}  { ! alpha39( X, Y, Z ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X )
% 8.09/8.48     ) }.
% 8.09/8.48  (20962) {G0,W9,D3,L2,V3,M2}  { ! alpha39( X, Y, Z ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 8.09/8.48     ) }.
% 8.09/8.48  (20963) {G0,W14,D3,L3,V3,M3}  { ! c_Orderings_Oord__class_Oless__eq( X, Z, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless__eq( 
% 8.09/8.48    X, c_Groups_Ozero__class_Ozero( X ), Y ), alpha39( X, Y, Z ) }.
% 8.09/8.48  (20964) {G0,W9,D3,L2,V3,M2}  { ! alpha11( X, Y, Z ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 8.09/8.48     ) }.
% 8.09/8.48  (20965) {G0,W9,D3,L2,V3,M2}  { ! alpha11( X, Y, Z ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 8.09/8.48     ) }.
% 8.09/8.48  (20966) {G0,W14,D3,L3,V3,M3}  { ! c_Orderings_Oord__class_Oless__eq( X, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), Z ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 8.09/8.48     ), alpha11( X, Y, Z ) }.
% 8.09/8.48  (20967) {G0,W18,D3,L4,V3,M4}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( X, Z, Y ) ), alpha12( X, Y, Z ), alpha40
% 8.09/8.48    ( X, Y, Z ) }.
% 8.09/8.48  (20968) {G0,W14,D3,L3,V3,M3}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! alpha12( X, Y, Z )
% 8.09/8.48    , c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 8.09/8.48    , c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 8.09/8.48  (20969) {G0,W14,D3,L3,V3,M3}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! alpha40( X, Y, Z )
% 8.09/8.48    , c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 8.09/8.48    , c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 8.09/8.48  (20970) {G0,W9,D3,L2,V3,M2}  { ! alpha40( X, Y, Z ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X )
% 8.09/8.48     ) }.
% 8.09/8.48  (20971) {G0,W9,D3,L2,V3,M2}  { ! alpha40( X, Y, Z ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 8.09/8.48     ) }.
% 8.09/8.48  (20972) {G0,W14,D3,L3,V3,M3}  { ! c_Orderings_Oord__class_Oless__eq( X, Z, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless__eq( 
% 8.09/8.48    X, Y, c_Groups_Ozero__class_Ozero( X ) ), alpha40( X, Y, Z ) }.
% 8.09/8.48  (20973) {G0,W9,D3,L2,V3,M2}  { ! alpha12( X, Y, Z ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 8.09/8.48     ) }.
% 8.09/8.48  (20974) {G0,W9,D3,L2,V3,M2}  { ! alpha12( X, Y, Z ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 8.09/8.48     ) }.
% 8.09/8.48  (20975) {G0,W14,D3,L3,V3,M3}  { ! c_Orderings_Oord__class_Oless__eq( X, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), Z ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 8.09/8.48     ), alpha12( X, Y, Z ) }.
% 8.09/8.48  (20976) {G0,W11,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.09/8.48    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) ), alpha13( X, 
% 8.09/8.48    Y ) }.
% 8.09/8.48  (20977) {G0,W11,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.09/8.48    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) ), alpha41( X, 
% 8.09/8.48    Y ) }.
% 8.09/8.48  (20978) {G0,W14,D3,L3,V2,M3}  { ! alpha13( X, Y ), ! alpha41( X, Y ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) ) }.
% 8.09/8.48  (20979) {G0,W13,D3,L3,V2,M3}  { ! alpha41( X, Y ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 8.09/8.48  (20980) {G0,W8,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.09/8.48    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), 
% 8.09/8.48    alpha41( X, Y ) }.
% 8.09/8.48  (20981) {G0,W8,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.09/8.48    tc_RealDef_Oreal, X, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), 
% 8.09/8.48    alpha41( X, Y ) }.
% 8.09/8.48  (20982) {G0,W13,D3,L3,V2,M3}  { ! alpha13( X, Y ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ) }.
% 8.09/8.48  (20983) {G0,W8,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.09/8.48    tc_RealDef_Oreal, Y, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), 
% 8.09/8.48    alpha13( X, Y ) }.
% 8.09/8.48  (20984) {G0,W8,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.09/8.48    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), 
% 8.09/8.48    alpha13( X, Y ) }.
% 8.09/8.48  (20985) {G0,W23,D4,L4,V4,M4}  { ! class_Rings_Olinordered__ring__strict( X
% 8.09/8.48     ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 8.09/8.48    , Y ), ! c_Orderings_Oord__class_Oless__eq( X, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Y ), T ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Y ), Z ) ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, T, Z ) }.
% 8.09/8.48  (20986) {G0,W23,D4,L4,V4,M4}  { ! class_Rings_Olinordered__ring__strict( X
% 8.09/8.48     ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 8.09/8.48    , Y ), ! c_Orderings_Oord__class_Oless__eq( X, T, Z ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, hAPP( c_Groups_Otimes__class_Otimes
% 8.09/8.48    ( X, Y ), T ), hAPP( c_Groups_Otimes__class_Otimes( X, Y ), Z ) ) }.
% 8.09/8.48  (20987) {G0,W23,D4,L4,V4,M4}  { ! class_Rings_Olinordered__ring__strict( X
% 8.09/8.48     ), ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X
% 8.09/8.48     ) ), ! c_Orderings_Oord__class_Oless__eq( X, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Y ), T ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Y ), Z ) ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 8.09/8.48  (20988) {G0,W23,D4,L4,V4,M4}  { ! class_Rings_Olinordered__ring__strict( X
% 8.09/8.48     ), ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X
% 8.09/8.48     ) ), ! c_Orderings_Oord__class_Oless__eq( X, Z, T ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, hAPP( c_Groups_Otimes__class_Otimes
% 8.09/8.48    ( X, Y ), T ), hAPP( c_Groups_Otimes__class_Otimes( X, Y ), Z ) ) }.
% 8.09/8.48  (20989) {G0,W32,D4,L6,V5,M6}  { ! class_Rings_Olinordered__semiring__strict
% 8.09/8.48    ( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, U, T ), ! c_Orderings_Oord__class_Oless
% 8.09/8.48    ( X, c_Groups_Ozero__class_Ozero( X ), Y ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), U
% 8.09/8.48     ), c_Orderings_Oord__class_Oless( X, hAPP( c_Groups_Otimes__class_Otimes
% 8.09/8.48    ( X, Z ), U ), hAPP( c_Groups_Otimes__class_Otimes( X, Y ), T ) ) }.
% 8.09/8.48  (20990) {G0,W32,D4,L6,V5,M6}  { ! class_Rings_Olinordered__semiring__strict
% 8.09/8.48    ( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, U, T ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 8.09/8.48     ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( 
% 8.09/8.48    X ), U ), c_Orderings_Oord__class_Oless( X, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Z ), U ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Y ), T ) ) }.
% 8.09/8.48  (20991) {G0,W32,D4,L6,V5,M6}  { ! class_Rings_Olinordered__semiring__strict
% 8.09/8.48    ( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, U, T ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 8.09/8.48     ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 8.09/8.48    , U ), c_Orderings_Oord__class_Oless( X, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Z ), U ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Y ), T ) ) }.
% 8.09/8.48  (20992) {G0,W32,D4,L6,V5,M6}  { ! class_Rings_Olinordered__semiring__strict
% 8.09/8.48    ( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, U, T ), ! c_Orderings_Oord__class_Oless
% 8.09/8.48    ( X, c_Groups_Ozero__class_Ozero( X ), Z ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), U
% 8.09/8.48     ), c_Orderings_Oord__class_Oless( X, hAPP( c_Groups_Otimes__class_Otimes
% 8.09/8.48    ( X, Z ), U ), hAPP( c_Groups_Otimes__class_Otimes( X, Y ), T ) ) }.
% 8.09/8.48  (20993) {G0,W23,D4,L4,V4,M4}  { ! class_Rings_Olinordered__semiring( X ), !
% 8.09/8.48     c_Orderings_Oord__class_Oless( X, hAPP( c_Groups_Otimes__class_Otimes( X
% 8.09/8.48    , T ), Z ), hAPP( c_Groups_Otimes__class_Otimes( X, Y ), Z ) ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 8.09/8.48     ), c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 8.09/8.48  (20994) {G0,W23,D4,L4,V4,M4}  { ! class_Rings_Olinordered__semiring__strict
% 8.09/8.48    ( X ), ! c_Orderings_Oord__class_Oless( X, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, T ), Z ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Y ), Z ) ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 8.09/8.48     ), c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 8.09/8.48  (20995) {G0,W23,D4,L4,V4,M4}  { ! class_Rings_Olinordered__semiring( X ), !
% 8.09/8.48     c_Orderings_Oord__class_Oless( X, hAPP( c_Groups_Otimes__class_Otimes( X
% 8.09/8.48    , T ), Z ), hAPP( c_Groups_Otimes__class_Otimes( X, T ), Y ) ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 8.09/8.48     ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 8.09/8.48  (20996) {G0,W23,D4,L4,V4,M4}  { ! class_Rings_Olinordered__semiring__strict
% 8.09/8.48    ( X ), ! c_Orderings_Oord__class_Oless( X, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, T ), Z ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, T ), Y ) ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 8.09/8.48     ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 8.09/8.48  (20997) {G0,W23,D4,L4,V4,M4}  { ! class_Rings_Olinordered__semiring__strict
% 8.09/8.48    ( X ), ! c_Orderings_Oord__class_Oless__eq( X, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, T ), Z ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Y ), Z ) ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 8.09/8.48  (20998) {G0,W23,D4,L4,V4,M4}  { ! class_Rings_Olinordered__semiring__strict
% 8.09/8.48    ( X ), ! c_Orderings_Oord__class_Oless__eq( X, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, T ), Z ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, T ), Y ) ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 8.09/8.48  (20999) {G0,W25,D4,L5,V3,M5}  { ! class_Rings_Olinordered__idom( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 8.09/8.48     ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( 
% 8.09/8.48    X ), Z ), ! c_Orderings_Oord__class_Oless__eq( X, Z, 
% 8.09/8.48    c_Groups_Oone__class_Oone( X ) ), c_Orderings_Oord__class_Oless__eq( X, 
% 8.09/8.48    hAPP( c_Groups_Otimes__class_Otimes( X, Z ), Y ), Y ) }.
% 8.09/8.48  (21000) {G0,W25,D4,L5,V3,M5}  { ! class_Rings_Olinordered__idom( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 8.09/8.48     ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( 
% 8.09/8.48    X ), Z ), ! c_Orderings_Oord__class_Oless__eq( X, Z, 
% 8.09/8.48    c_Groups_Oone__class_Oone( X ) ), c_Orderings_Oord__class_Oless__eq( X, 
% 8.09/8.48    hAPP( c_Groups_Otimes__class_Otimes( X, Y ), Z ), Y ) }.
% 8.09/8.48  (21001) {G0,W20,D3,L4,V3,M4}  { ! class_Fields_Olinordered__field( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 8.09/8.48     ), ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X
% 8.09/8.48     ) ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( 
% 8.09/8.48    X ), c_Rings_Oinverse__class_Odivide( X, Y, Z ) ) }.
% 8.09/8.48  (21002) {G0,W20,D3,L4,V3,M4}  { ! class_Fields_Olinordered__field( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 8.09/8.48     ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 8.09/8.48    , Z ), c_Orderings_Oord__class_Oless__eq( X, 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( X, Y, Z ), c_Groups_Ozero__class_Ozero( 
% 8.09/8.48    X ) ) }.
% 8.09/8.48  (21003) {G0,W30,D3,L6,V5,M6}  { ! class_Fields_Olinordered__field( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 8.09/8.48     ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ), 
% 8.09/8.48    ! c_Orderings_Oord__class_Oless__eq( X, T, U ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 8.09/8.48    , Y, U ), c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 8.09/8.48  (21004) {G0,W30,D3,L6,V5,M6}  { ! class_Fields_Olinordered__field( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 8.09/8.48     ), ! c_Orderings_Oord__class_Oless( X, Y, Z ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ), 
% 8.09/8.48    ! c_Orderings_Oord__class_Oless__eq( X, T, U ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, Y, 
% 8.09/8.48    U ), c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 8.09/8.48  (21005) {G0,W30,D3,L6,V5,M6}  { ! class_Fields_Olinordered__field( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ), 
% 8.09/8.48    ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ), 
% 8.09/8.48    ! c_Orderings_Oord__class_Oless( X, T, U ), c_Orderings_Oord__class_Oless
% 8.09/8.48    ( X, c_Rings_Oinverse__class_Odivide( X, Y, U ), 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 8.09/8.48  (21006) {G0,W20,D3,L4,V3,M4}  { ! class_Fields_Olinordered__field( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 8.09/8.48     ), ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X
% 8.09/8.48     ) ), c_Orderings_Oord__class_Oless__eq( X, 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( X, Y, Z ), c_Groups_Ozero__class_Ozero( 
% 8.09/8.48    X ) ) }.
% 8.09/8.48  (21007) {G0,W20,D3,L4,V3,M4}  { ! class_Fields_Olinordered__field( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 8.09/8.48     ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 8.09/8.48    , Z ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero
% 8.09/8.48    ( X ), c_Rings_Oinverse__class_Odivide( X, Y, Z ) ) }.
% 8.09/8.48  (21008) {G0,W10,D3,L3,V2,M3}  { ! class_Groups_Ozero( X ), ! 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ) = Y, Y = c_Groups_Ozero__class_Ozero( X
% 8.09/8.48     ) }.
% 8.09/8.48  (21009) {G0,W10,D3,L3,V2,M3}  { ! class_Groups_Ozero( X ), ! Y = 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), c_Groups_Ozero__class_Ozero( X ) = Y
% 8.09/8.48     }.
% 8.09/8.48  (21010) {G0,W21,D4,L3,V3,M3}  { ! c_Orderings_Oord__class_Oless( 
% 8.09/8.48    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 8.09/8.48     c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z ), X ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y ), X ) ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z, Y ) }.
% 8.09/8.48  (21011) {G0,W21,D4,L3,V3,M3}  { ! c_Orderings_Oord__class_Oless( 
% 8.09/8.48    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 8.09/8.48     c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z, Y ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z ), X ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y ), X ) ) }.
% 8.09/8.48  (21012) {G0,W21,D4,L3,V3,M3}  { ! c_Orderings_Oord__class_Oless( 
% 8.09/8.48    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 8.09/8.48     c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X ), Z ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X ), Y ) ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z, Y ) }.
% 8.09/8.48  (21013) {G0,W21,D4,L3,V3,M3}  { ! c_Orderings_Oord__class_Oless( 
% 8.09/8.48    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 8.09/8.48     c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z, Y ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X ), Z ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X ), Y ) ) }.
% 8.09/8.48  (21014) {G0,W21,D6,L2,V4,M2}  { ! class_Groups_Oab__semigroup__mult( X ), 
% 8.09/8.48    hAPP( c_Groups_Otimes__class_Otimes( X, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, T ), Z ) ), Y ) = hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, T ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Z ), Y ) ) }.
% 8.09/8.48  (21015) {G0,W10,D3,L3,V2,M3}  { ! class_Groups_Oone( X ), ! 
% 8.09/8.48    c_Groups_Oone__class_Oone( X ) = Y, Y = c_Groups_Oone__class_Oone( X )
% 8.09/8.48     }.
% 8.09/8.48  (21016) {G0,W10,D3,L3,V2,M3}  { ! class_Groups_Oone( X ), ! Y = 
% 8.09/8.48    c_Groups_Oone__class_Oone( X ), c_Groups_Oone__class_Oone( X ) = Y }.
% 8.09/8.48  (21017) {G0,W14,D3,L3,V4,M3}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, T, c_Rings_Oinverse__class_Odivide
% 8.09/8.48    ( X, Z, Y ) ), alpha42( X, Y, Z, T ) }.
% 8.09/8.48  (21018) {G0,W14,D3,L3,V4,M3}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, T, c_Rings_Oinverse__class_Odivide
% 8.09/8.48    ( X, Z, Y ) ), alpha58( X, Y, Z, T ) }.
% 8.09/8.48  (21019) {G0,W19,D3,L4,V4,M4}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! alpha42( X, Y, Z, 
% 8.09/8.48    T ), ! alpha58( X, Y, Z, T ), c_Orderings_Oord__class_Oless__eq( X, T, 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 8.09/8.48  (21020) {G0,W15,D3,L3,V4,M3}  { ! alpha58( X, Y, Z, T ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ), 
% 8.09/8.48    alpha70( X, Y, Z, T ) }.
% 8.09/8.48  (21021) {G0,W10,D3,L2,V4,M2}  { ! c_Orderings_Oord__class_Oless( X, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), Y ), alpha58( X, Y, Z, T ) }.
% 8.09/8.48  (21022) {G0,W10,D2,L2,V4,M2}  { ! alpha70( X, Y, Z, T ), alpha58( X, Y, Z, 
% 8.09/8.48    T ) }.
% 8.09/8.48  (21023) {G0,W10,D2,L2,V4,M2}  { ! alpha70( X, Y, Z, T ), alpha82( X, Y, Z, 
% 8.09/8.48    T ) }.
% 8.09/8.48  (21024) {G0,W9,D2,L2,V4,M2}  { ! alpha70( X, Y, Z, T ), alpha14( X, Y, T )
% 8.09/8.48     }.
% 8.09/8.48  (21025) {G0,W14,D2,L3,V4,M3}  { ! alpha82( X, Y, Z, T ), ! alpha14( X, Y, T
% 8.09/8.48     ), alpha70( X, Y, Z, T ) }.
% 8.09/8.48  (21026) {G0,W18,D4,L3,V4,M3}  { ! alpha82( X, Y, Z, T ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Z, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, T ), Y ) ) }.
% 8.09/8.48  (21027) {G0,W10,D3,L2,V4,M2}  { c_Orderings_Oord__class_Oless( X, Y, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ) ), alpha82( X, Y, Z, T ) }.
% 8.09/8.48  (21028) {G0,W13,D4,L2,V4,M2}  { ! c_Orderings_Oord__class_Oless__eq( X, Z, 
% 8.09/8.48    hAPP( c_Groups_Otimes__class_Otimes( X, T ), Y ) ), alpha82( X, Y, Z, T )
% 8.09/8.48     }.
% 8.09/8.48  (21029) {G0,W18,D4,L3,V4,M3}  { ! alpha42( X, Y, Z, T ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, hAPP( c_Groups_Otimes__class_Otimes
% 8.09/8.48    ( X, T ), Y ), Z ) }.
% 8.09/8.48  (21030) {G0,W10,D3,L2,V4,M2}  { c_Orderings_Oord__class_Oless( X, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), Y ), alpha42( X, Y, Z, T ) }.
% 8.09/8.48  (21031) {G0,W13,D4,L2,V4,M2}  { ! c_Orderings_Oord__class_Oless__eq( X, 
% 8.09/8.48    hAPP( c_Groups_Otimes__class_Otimes( X, T ), Y ), Z ), alpha42( X, Y, Z, 
% 8.09/8.48    T ) }.
% 8.09/8.48  (21032) {G0,W14,D3,L3,V3,M3}  { ! alpha14( X, Y, Z ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X )
% 8.09/8.48     ) }.
% 8.09/8.48  (21033) {G0,W9,D3,L2,V3,M2}  { ! c_Orderings_Oord__class_Oless( X, Y, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ) ), alpha14( X, Y, Z ) }.
% 8.09/8.48  (21034) {G0,W9,D3,L2,V3,M2}  { ! c_Orderings_Oord__class_Oless__eq( X, Z, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ) ), alpha14( X, Y, Z ) }.
% 8.09/8.48  (21035) {G0,W14,D3,L3,V4,M3}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 8.09/8.48    , T, Z ), Y ), alpha43( X, Y, Z, T ) }.
% 8.09/8.48  (21036) {G0,W14,D3,L3,V4,M3}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 8.09/8.48    , T, Z ), Y ), alpha59( X, Y, Z, T ) }.
% 8.09/8.48  (21037) {G0,W19,D3,L4,V4,M4}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! alpha43( X, Y, Z, 
% 8.09/8.48    T ), ! alpha59( X, Y, Z, T ), c_Orderings_Oord__class_Oless__eq( X, 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( X, T, Z ), Y ) }.
% 8.09/8.48  (21038) {G0,W15,D3,L3,V4,M3}  { ! alpha59( X, Y, Z, T ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ), 
% 8.09/8.48    alpha71( X, Y, Z, T ) }.
% 8.09/8.48  (21039) {G0,W10,D3,L2,V4,M2}  { ! c_Orderings_Oord__class_Oless( X, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), Z ), alpha59( X, Y, Z, T ) }.
% 8.09/8.48  (21040) {G0,W10,D2,L2,V4,M2}  { ! alpha71( X, Y, Z, T ), alpha59( X, Y, Z, 
% 8.09/8.48    T ) }.
% 8.09/8.48  (21041) {G0,W10,D2,L2,V4,M2}  { ! alpha71( X, Y, Z, T ), alpha83( X, Y, Z, 
% 8.09/8.48    T ) }.
% 8.09/8.48  (21042) {G0,W9,D2,L2,V4,M2}  { ! alpha71( X, Y, Z, T ), alpha15( X, Y, Z )
% 8.09/8.48     }.
% 8.09/8.48  (21043) {G0,W14,D2,L3,V4,M3}  { ! alpha83( X, Y, Z, T ), ! alpha15( X, Y, Z
% 8.09/8.48     ), alpha71( X, Y, Z, T ) }.
% 8.09/8.48  (21044) {G0,W18,D4,L3,V4,M3}  { ! alpha83( X, Y, Z, T ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, hAPP( c_Groups_Otimes__class_Otimes
% 8.09/8.48    ( X, Y ), Z ), T ) }.
% 8.09/8.48  (21045) {G0,W10,D3,L2,V4,M2}  { c_Orderings_Oord__class_Oless( X, Z, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ) ), alpha83( X, Y, Z, T ) }.
% 8.09/8.48  (21046) {G0,W13,D4,L2,V4,M2}  { ! c_Orderings_Oord__class_Oless__eq( X, 
% 8.09/8.48    hAPP( c_Groups_Otimes__class_Otimes( X, Y ), Z ), T ), alpha83( X, Y, Z, 
% 8.09/8.48    T ) }.
% 8.09/8.48  (21047) {G0,W18,D4,L3,V4,M3}  { ! alpha43( X, Y, Z, T ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, T, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Y ), Z ) ) }.
% 8.09/8.48  (21048) {G0,W10,D3,L2,V4,M2}  { c_Orderings_Oord__class_Oless( X, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), Z ), alpha43( X, Y, Z, T ) }.
% 8.09/8.48  (21049) {G0,W13,D4,L2,V4,M2}  { ! c_Orderings_Oord__class_Oless__eq( X, T, 
% 8.09/8.48    hAPP( c_Groups_Otimes__class_Otimes( X, Y ), Z ) ), alpha43( X, Y, Z, T )
% 8.09/8.48     }.
% 8.09/8.48  (21050) {G0,W14,D3,L3,V3,M3}  { ! alpha15( X, Y, Z ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 8.09/8.48     ) }.
% 8.09/8.48  (21051) {G0,W9,D3,L2,V3,M2}  { ! c_Orderings_Oord__class_Oless( X, Z, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ) ), alpha15( X, Y, Z ) }.
% 8.09/8.48  (21052) {G0,W9,D3,L2,V3,M2}  { ! c_Orderings_Oord__class_Oless__eq( X, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), Y ), alpha15( X, Y, Z ) }.
% 8.09/8.48  (21053) {G0,W22,D4,L4,V4,M4}  { ! class_Fields_Olinordered__field( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ), 
% 8.09/8.48    ! c_Orderings_Oord__class_Oless__eq( X, T, 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( X, Z, Y ) ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, hAPP( c_Groups_Otimes__class_Otimes
% 8.09/8.48    ( X, T ), Y ), Z ) }.
% 8.09/8.48  (21054) {G0,W22,D4,L4,V4,M4}  { ! class_Fields_Olinordered__field( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ), 
% 8.09/8.48    ! c_Orderings_Oord__class_Oless__eq( X, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, T ), Y ), Z ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, T, c_Rings_Oinverse__class_Odivide
% 8.09/8.48    ( X, Z, Y ) ) }.
% 8.09/8.48  (21055) {G0,W22,D4,L4,V4,M4}  { ! class_Fields_Olinordered__field( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ), 
% 8.09/8.48    ! c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( 
% 8.09/8.48    X, T, Y ), Z ), c_Orderings_Oord__class_Oless__eq( X, T, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Z ), Y ) ) }.
% 8.09/8.48  (21056) {G0,W22,D4,L4,V4,M4}  { ! class_Fields_Olinordered__field( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ), 
% 8.09/8.48    ! c_Orderings_Oord__class_Oless__eq( X, T, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Z ), Y ) ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 8.09/8.48    , T, Y ), Z ) }.
% 8.09/8.48  (21057) {G0,W22,D4,L4,V4,M4}  { ! class_Fields_Olinordered__field( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ), 
% 8.09/8.48    ! c_Orderings_Oord__class_Oless__eq( X, T, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Z ), Y ) ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 8.09/8.48    , T, Y ), Z ) }.
% 8.09/8.48  (21058) {G0,W22,D4,L4,V4,M4}  { ! class_Fields_Olinordered__field( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ), 
% 8.09/8.48    ! c_Orderings_Oord__class_Oless__eq( X, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, T ), Y ), Z ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, T, c_Rings_Oinverse__class_Odivide
% 8.09/8.48    ( X, Z, Y ) ) }.
% 8.09/8.48  (21059) {G0,W22,D4,L4,V4,M4}  { ! class_Fields_Olinordered__field( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ), 
% 8.09/8.48    ! c_Orderings_Oord__class_Oless__eq( X, T, 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( X, Z, Y ) ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Z, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, T ), Y ) ) }.
% 8.09/8.48  (21060) {G0,W22,D4,L4,V4,M4}  { ! class_Fields_Olinordered__field( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ), 
% 8.09/8.48    ! c_Orderings_Oord__class_Oless__eq( X, Z, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, T ), Y ) ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, T, c_Rings_Oinverse__class_Odivide
% 8.09/8.48    ( X, Z, Y ) ) }.
% 8.09/8.48  (21061) {G0,W22,D4,L4,V4,M4}  { ! class_Fields_Olinordered__field( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ), 
% 8.09/8.48    ! c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( 
% 8.09/8.48    X, T, Y ), Z ), c_Orderings_Oord__class_Oless__eq( X, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Z ), Y ), T ) }.
% 8.09/8.48  (21062) {G0,W22,D4,L4,V4,M4}  { ! class_Fields_Olinordered__field( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ), 
% 8.09/8.48    ! c_Orderings_Oord__class_Oless__eq( X, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Z ), Y ), T ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 8.09/8.48    , T, Y ), Z ) }.
% 8.09/8.48  (21063) {G0,W30,D4,L5,V4,M5}  { ! class_Fields_Olinordered__field( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 8.09/8.48     ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 8.09/8.48    , hAPP( c_Groups_Otimes__class_Otimes( X, Y ), Z ) ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 8.09/8.48    , T, Y ), c_Rings_Oinverse__class_Odivide( X, T, Z ) ) }.
% 8.09/8.48  (21064) {G0,W30,D4,L5,V4,M5}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Ozero__class_Ozero( X )
% 8.09/8.48     ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 8.09/8.48    , hAPP( c_Groups_Otimes__class_Otimes( X, Z ), Y ) ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 8.09/8.48    , T, Z ), c_Rings_Oinverse__class_Odivide( X, T, Y ) ) }.
% 8.09/8.48  (21065) {G0,W6,D2,L2,V2,M2}  { ! class_Orderings_Opreorder( X ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Y, Y ) }.
% 8.09/8.48  (21066) {G0,W10,D2,L3,V3,M3}  { ! class_Orderings_Olinorder( X ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, Y ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 8.09/8.48  (21067) {G0,W10,D2,L3,V3,M3}  { ! class_Orderings_Olinorder( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Y, Z ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 8.09/8.48  (21068) {G0,W10,D2,L3,V3,M3}  { ! class_Orderings_Olinorder( X ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 8.09/8.48  (21069) {G0,W10,D2,L3,V3,M3}  { ! class_Orderings_Olinorder( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Y, Z ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 8.09/8.48  (21070) {G0,W10,D2,L3,V3,M3}  { ! class_Orderings_Olinorder( X ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 8.09/8.48  (21071) {G0,W10,D2,L3,V3,M3}  { ! class_Orderings_Oorder( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, Y ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 8.09/8.48  (21072) {G0,W9,D2,L3,V3,M3}  { ! class_Orderings_Oorder( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, Y ), ! Z = Y }.
% 8.09/8.48  (21073) {G0,W13,D2,L4,V3,M4}  { ! class_Orderings_Oorder( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), Z = Y, 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 8.09/8.48  (21074) {G0,W10,D2,L3,V3,M3}  { ! class_Orderings_Opreorder( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, Y ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 8.09/8.48  (21075) {G0,W10,D2,L3,V3,M3}  { ! class_Orderings_Opreorder( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, Y ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 8.09/8.48  (21076) {G0,W14,D2,L4,V3,M4}  { ! class_Orderings_Opreorder( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Y, Z ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 8.09/8.48  (21077) {G0,W13,D2,L4,V3,M4}  { ! class_Orderings_Oorder( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, Y ), Z = Y }.
% 8.09/8.48  (21078) {G0,W10,D2,L3,V3,M3}  { ! class_Orderings_Oorder( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, Y ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 8.09/8.48  (21079) {G0,W9,D2,L3,V3,M3}  { ! class_Orderings_Oorder( X ), ! Z = Y, 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 8.09/8.48  (21080) {G0,W10,D2,L3,V3,M3}  { ! class_Orderings_Olinorder( X ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, Y ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 8.09/8.48  (21081) {G0,W10,D2,L3,V3,M3}  { ! class_Orderings_Olinorder( X ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 8.09/8.48  (21082) {G0,W16,D3,L3,V5,M3}  { ! class_Orderings_Oord( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Z, Y ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, hAPP( Z, U ), hAPP( Y, U ) ) }.
% 8.09/8.48  (21083) {G0,W22,D4,L3,V4,M3}  { ! class_Orderings_Oord( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, hAPP( Z, skol4( X, Y, Z ) ), hAPP( 
% 8.09/8.48    Y, skol4( X, Y, Z ) ) ), c_Orderings_Oord__class_Oless__eq( tc_fun( T, X
% 8.09/8.48     ), Z, Y ) }.
% 8.09/8.48  (21084) {G0,W10,D2,L3,V3,M3}  { ! class_Orderings_Olinorder( X ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 8.09/8.48  (21085) {G0,W9,D2,L3,V3,M3}  { ! class_Orderings_Oorder( X ), ! Z = Y, 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 8.09/8.48  (21086) {G0,W9,D2,L3,V3,M3}  { ! class_Orderings_Oorder( X ), ! Z = Y, 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 8.09/8.48  (21087) {G0,W13,D2,L4,V3,M4}  { ! class_Orderings_Oorder( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Z = Y }.
% 8.09/8.48  (21088) {G0,W9,D2,L3,V3,M3}  { ! class_Orderings_Opreorder( X ), ! Z = Y, 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 8.09/8.48  (21089) {G0,W16,D3,L3,V5,M3}  { ! class_Orderings_Oord( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Z, Y ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, hAPP( Z, U ), hAPP( Y, U ) ) }.
% 8.09/8.48  (21090) {G0,W13,D2,L4,V3,M4}  { ! class_Orderings_Oorder( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Y = Z }.
% 8.09/8.48  (21091) {G0,W13,D2,L4,V3,M4}  { ! class_Orderings_Oorder( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), ! Y = Z, 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 8.09/8.48  (21092) {G0,W13,D2,L4,V4,M4}  { ! class_Orderings_Oord( X ), ! Z = Y, ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Y, T ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 8.09/8.48  (21093) {G0,W13,D2,L4,V4,M4}  { ! class_Orderings_Oorder( X ), ! Z = Y, ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, T, Y ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, T, Z ) }.
% 8.09/8.48  (21094) {G0,W13,D2,L4,V4,M4}  { ! class_Orderings_Oord( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), ! Y = T, 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 8.09/8.48  (21095) {G0,W13,D2,L4,V4,M4}  { ! class_Orderings_Oorder( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), ! Z = T, 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 8.09/8.48  (21096) {G0,W13,D2,L4,V3,M4}  { ! class_Orderings_Oorder( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Z = Y }.
% 8.09/8.48  (21097) {G0,W14,D2,L4,V4,M4}  { ! class_Orderings_Opreorder( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Y, T ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 8.09/8.48  (21098) {G0,W13,D2,L4,V3,M4}  { ! class_Orderings_Oorder( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Y = Z }.
% 8.09/8.48  (21099) {G0,W14,D2,L4,V4,M4}  { ! class_Orderings_Oorder( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, T, Z ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 8.09/8.48  (21100) {G0,W16,D3,L3,V5,M3}  { ! class_Orderings_Oord( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Z, Y ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, hAPP( Z, U ), hAPP( Y, U ) ) }.
% 8.09/8.48  (21101) {G0,W10,D2,L3,V3,M3}  { ! class_Orderings_Olinorder( X ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 8.09/8.48  (21102) {G0,W13,D2,L4,V3,M4}  { ! class_Orderings_Olinorder( X ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, Y ), Z = Y, 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 8.09/8.48  (21103) {G0,W10,D2,L3,V3,M3}  { ! class_Orderings_Opreorder( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 8.09/8.48    ( X, Y, Z ) }.
% 8.09/8.48  (21104) {G0,W14,D2,L4,V4,M4}  { ! class_Orderings_Oorder( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 8.09/8.48    ( X, T, Z ), c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 8.09/8.48  (21105) {G0,W14,D2,L4,V4,M4}  { ! class_Orderings_Opreorder( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 8.09/8.48    ( X, Y, T ), c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 8.09/8.48  (21106) {G0,W13,D2,L4,V4,M4}  { ! class_Orderings_Oorder( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, Y ), ! Z = T, 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 8.09/8.48  (21107) {G0,W13,D2,L4,V4,M4}  { ! class_Orderings_Oord( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, Y ), ! Y = T, 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 8.09/8.48  (21108) {G0,W13,D2,L4,V4,M4}  { ! class_Orderings_Oorder( X ), ! Z = Y, ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, T, Y ), c_Orderings_Oord__class_Oless( 
% 8.09/8.48    X, T, Z ) }.
% 8.09/8.48  (21109) {G0,W13,D2,L4,V4,M4}  { ! class_Orderings_Oord( X ), ! Z = Y, ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Y, T ), c_Orderings_Oord__class_Oless( 
% 8.09/8.48    X, Z, T ) }.
% 8.09/8.48  (21110) {G0,W10,D2,L3,V3,M3}  { ! class_Orderings_Oorder( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 8.09/8.48    ( X, Y, Z ) }.
% 8.09/8.48  (21111) {G0,W10,D2,L3,V3,M3}  { ! class_Orderings_Opreorder( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 8.09/8.48    ( X, Y, Z ) }.
% 8.09/8.48  (21112) {G0,W9,D2,L3,V3,M3}  { ! class_Orderings_Oorder( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, Y ), ! Y = Z }.
% 8.09/8.48  (21113) {G0,W9,D2,L3,V3,M3}  { ! class_Orderings_Oorder( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, Y ), ! Z = Y }.
% 8.09/8.48  (21114) {G0,W10,D2,L3,V3,M3}  { ! class_Orderings_Opreorder( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 8.09/8.48    ( X, Y, Z ) }.
% 8.09/8.48  (21115) {G0,W10,D2,L3,V3,M3}  { ! class_Orderings_Opreorder( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 8.09/8.48    ( X, Y, Z ) }.
% 8.09/8.48  (21116) {G0,W9,D2,L3,V3,M3}  { ! class_Orderings_Oorder( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, Y ), ! Z = Y }.
% 8.09/8.48  (21117) {G0,W13,D2,L4,V3,M4}  { ! class_Orderings_Olinorder( X ), Z = Y, 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless( 
% 8.09/8.48    X, Y, Z ) }.
% 8.09/8.48  (21118) {G0,W13,D2,L4,V3,M4}  { ! class_Orderings_Olinorder( X ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless( 
% 8.09/8.48    X, Y, Z ), Y = Z }.
% 8.09/8.48  (21119) {G0,W13,D2,L4,V3,M4}  { ! class_Orderings_Olinorder( X ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, Y ), ! Y = Z, ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 8.09/8.48  (21120) {G0,W13,D2,L4,V3,M4}  { ! class_Orderings_Olinorder( X ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, Y ), Z = Y, 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 8.09/8.48  (21121) {G0,W13,D2,L4,V3,M4}  { ! class_Orderings_Olinorder( X ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless( 
% 8.09/8.48    X, Y, Z ), Z = Y }.
% 8.09/8.48  (21122) {G0,W10,D2,L3,V3,M3}  { ! class_Orderings_Olinorder( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Y, Z ), ! c_Orderings_Oord__class_Oless
% 8.09/8.48    ( X, Z, Y ) }.
% 8.09/8.48  (21123) {G0,W9,D2,L3,V3,M3}  { ! class_Orderings_Olinorder( X ), ! Z = Y, !
% 8.09/8.48     c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 8.09/8.48  (21124) {G0,W13,D2,L4,V3,M4}  { ! class_Orderings_Olinorder( X ), Z = Y, 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless( 
% 8.09/8.48    X, Y, Z ) }.
% 8.09/8.48  (21125) {G0,W9,D2,L3,V3,M3}  { ! class_Orderings_Olinorder( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, Y ), ! Z = Y }.
% 8.09/8.48  (21126) {G0,W9,D2,L3,V3,M3}  { ! class_Orderings_Olinorder( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Y, Z ), ! Z = Y }.
% 8.09/8.48  (21127) {G0,W6,D2,L2,V2,M2}  { ! class_Orderings_Opreorder( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Y, Y ) }.
% 8.09/8.48  (21128) {G0,W14,D2,L4,V4,M4}  { ! class_Orderings_Oorder( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, T, Z ), c_Orderings_Oord__class_Oless( 
% 8.09/8.48    X, T, Y ) }.
% 8.09/8.48  (21129) {G0,W14,D2,L4,V4,M4}  { ! class_Orderings_Opreorder( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Y, T ), c_Orderings_Oord__class_Oless( 
% 8.09/8.48    X, Z, T ) }.
% 8.09/8.48  (21130) {G0,W14,D2,L4,V4,M4}  { ! class_Orderings_Oorder( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, Y ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, T, Z ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 8.09/8.48  (21131) {G0,W14,D2,L4,V4,M4}  { ! class_Orderings_Opreorder( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, Y ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Y, T ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 8.09/8.48  (21132) {G0,W13,D2,L4,V3,M4}  { ! class_Orderings_Oorder( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), Y = Z, 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 8.09/8.48  (21133) {G0,W13,D2,L4,V3,M4}  { ! class_Orderings_Oorder( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), Z = Y, 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 8.09/8.48  (21134) {G0,W13,D2,L4,V3,M4}  { ! class_Orderings_Oorder( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, Y ), Z = Y }.
% 8.09/8.48  (21135) {G0,W13,D2,L4,V3,M4}  { ! class_Orderings_Olinorder( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, Y ), Z = Y }.
% 8.09/8.48  (21136) {G0,W13,D2,L4,V3,M4}  { ! class_Orderings_Olinorder( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), ! Z = Y, ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 8.09/8.48  (21137) {G0,W10,D2,L3,V3,M3}  { ! class_Orderings_Opreorder( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, Y ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 8.09/8.48  (21138) {G0,W10,D2,L3,V3,M3}  { ! class_Orderings_Olinorder( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 8.09/8.48  (21139) {G0,W13,D2,L4,V3,M4}  { ! class_Orderings_Oorder( X ), Z = Y, ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Y, Z ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 8.09/8.48  (21140) {G0,W13,D2,L4,V3,M4}  { ! class_Orderings_Oorder( X ), Z = Y, ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 8.09/8.48  (21141) {G0,W13,D2,L4,V3,M4}  { ! class_Orderings_Olinorder( X ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, Y ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), Z = Y }.
% 8.09/8.48  (21142) {G0,W13,D2,L4,V3,M4}  { ! class_Orderings_Olinorder( X ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, Y ), ! Z = Y, 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 8.09/8.48  (21143) {G0,W14,D3,L3,V5,M3}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), skol5
% 8.09/8.48    ( X, T, U ) ), c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 8.09/8.48  (21144) {G0,W14,D3,L3,V5,M3}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, skol5( X, T, U ), 
% 8.09/8.48    c_Groups_Oone__class_Oone( X ) ), c_Orderings_Oord__class_Oless__eq( X, Z
% 8.09/8.48    , Y ) }.
% 8.09/8.48  (21145) {G0,W17,D5,L3,V3,M3}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, hAPP( c_Groups_Otimes__class_Otimes
% 8.09/8.48    ( X, skol5( X, Y, Z ) ), Z ), Y ), c_Orderings_Oord__class_Oless__eq( X, 
% 8.09/8.48    Z, Y ) }.
% 8.09/8.48  (21146) {G0,W42,D5,L7,V6,M7}  { ! 
% 8.09/8.48    class_Rings_Olinordered__semiring__1__strict( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 8.09/8.48    ( X, T, Y ), ! c_Orderings_Oord__class_Oless__eq( X, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), U ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), W
% 8.09/8.48     ), ! c_Groups_Oplus__class_Oplus( X, U, W ) = c_Groups_Oone__class_Oone
% 8.09/8.48    ( X ), c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, 
% 8.09/8.48    hAPP( c_Groups_Otimes__class_Otimes( X, U ), Z ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, W ), T ) ), Y ) }.
% 8.09/8.48  (21147) {G0,W42,D5,L7,V6,M7}  { ! class_Rings_Olinordered__semiring__1( X )
% 8.09/8.48    , ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, T, Y ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), U
% 8.09/8.48     ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( 
% 8.09/8.48    X ), W ), ! c_Groups_Oplus__class_Oplus( X, U, W ) = 
% 8.09/8.48    c_Groups_Oone__class_Oone( X ), c_Orderings_Oord__class_Oless__eq( X, 
% 8.09/8.48    c_Groups_Oplus__class_Oplus( X, hAPP( c_Groups_Otimes__class_Otimes( X, U
% 8.09/8.48     ), Z ), hAPP( c_Groups_Otimes__class_Otimes( X, W ), T ) ), Y ) }.
% 8.09/8.48  (21148) {G0,W14,D3,L3,V2,M3}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ), 
% 8.09/8.48    c_Rings_Oinverse__class_Oinverse( X, Y ) ), c_Orderings_Oord__class_Oless
% 8.09/8.48    ( X, c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 8.09/8.48  (21149) {G0,W14,D3,L3,V2,M3}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ), 
% 8.09/8.48    c_Rings_Oinverse__class_Oinverse( X, Y ) ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Oone__class_Oone( X ) )
% 8.09/8.48     }.
% 8.09/8.48  (21150) {G0,W19,D3,L4,V2,M4}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ), 
% 8.09/8.48    ! c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Oone__class_Oone( X )
% 8.09/8.48     ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X )
% 8.09/8.48    , c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 8.09/8.48  (21151) {G0,W19,D3,L4,V2,M4}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Oinverse( X, Y
% 8.09/8.48     ), c_Groups_Oone__class_Oone( X ) ), c_Orderings_Oord__class_Oless__eq( 
% 8.09/8.48    X, Y, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( 
% 8.09/8.48    X, c_Groups_Oone__class_Oone( X ), Y ) }.
% 8.09/8.48  (21152) {G0,W14,D3,L3,V2,M3}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 8.09/8.48     ), c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Oinverse( X
% 8.09/8.48    , Y ), c_Groups_Oone__class_Oone( X ) ) }.
% 8.09/8.48  (21153) {G0,W14,D3,L3,V2,M3}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ), Y ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Oinverse( X, Y
% 8.09/8.48     ), c_Groups_Oone__class_Oone( X ) ) }.
% 8.09/8.48  (21154) {G0,W19,D3,L4,V2,M4}  { ! class_Fields_Olinordered__field( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ), 
% 8.09/8.48    ! c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Oone__class_Oone( X )
% 8.09/8.48     ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X )
% 8.09/8.48    , c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 8.09/8.48  (21155) {G0,W13,D3,L3,V2,M3}  { ! class_Rings_Olinordered__idom( X ), ! 
% 8.09/8.48    c_Groups_Osgn__class_Osgn( X, Y ) = c_Groups_Oone__class_Oone( X ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 8.09/8.48     }.
% 8.09/8.48  (21156) {G0,W13,D3,L3,V2,M3}  { ! class_Rings_Olinordered__idom( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ), 
% 8.09/8.48    c_Groups_Osgn__class_Osgn( X, Y ) = c_Groups_Oone__class_Oone( X ) }.
% 8.09/8.48  (21157) {G0,W13,D3,L3,V2,M3}  { ! class_Rings_Olinordered__idom( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ), 
% 8.09/8.48    c_Groups_Osgn__class_Osgn( X, Y ) = c_Groups_Oone__class_Oone( X ) }.
% 8.09/8.48  (21158) {G0,W14,D3,L3,V4,M3}  { ! class_Orderings_Oord( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( tc_fun( T, X ), Z, Y ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Z, Y ) }.
% 8.09/8.48  (21159) {G0,W14,D3,L3,V4,M3}  { ! class_Orderings_Oord( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( tc_fun( T, X ), Z, Y ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Y, Z ) }.
% 8.09/8.48  (21160) {G0,W20,D3,L4,V4,M4}  { ! class_Orderings_Oord( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Z, Y ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Y, Z ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( tc_fun( T, X ), Z, Y ) }.
% 8.09/8.48  (21161) {G0,W9,D4,L2,V2,M2}  { ! class_Rings_Odivision__ring__inverse__zero
% 8.09/8.48    ( X ), c_Rings_Oinverse__class_Oinverse( X, 
% 8.09/8.48    c_Rings_Oinverse__class_Oinverse( X, Y ) ) = Y }.
% 8.09/8.48  (21162) {G0,W11,D4,L2,V2,M2}  { ! class_Rings_Olinordered__idom( X ), 
% 8.09/8.48    c_Groups_Osgn__class_Osgn( X, c_Groups_Osgn__class_Osgn( X, Y ) ) = 
% 8.09/8.48    c_Groups_Osgn__class_Osgn( X, Y ) }.
% 8.09/8.48  (21163) {G0,W12,D3,L3,V3,M3}  { ! 
% 8.09/8.48    class_Rings_Odivision__ring__inverse__zero( X ), ! 
% 8.09/8.48    c_Rings_Oinverse__class_Oinverse( X, Z ) = 
% 8.09/8.48    c_Rings_Oinverse__class_Oinverse( X, Y ), Z = Y }.
% 8.09/8.48  (21164) {G0,W12,D3,L3,V3,M3}  { ! 
% 8.09/8.48    class_Rings_Odivision__ring__inverse__zero( X ), ! Z = Y, 
% 8.09/8.48    c_Rings_Oinverse__class_Oinverse( X, Z ) = 
% 8.09/8.48    c_Rings_Oinverse__class_Oinverse( X, Y ) }.
% 8.09/8.48  (21165) {G0,W12,D3,L3,V3,M3}  { ! 
% 8.09/8.48    class_Rings_Odivision__ring__inverse__zero( X ), ! 
% 8.09/8.48    c_Rings_Oinverse__class_Oinverse( X, Z ) = 
% 8.09/8.48    c_Rings_Oinverse__class_Oinverse( X, Y ), Z = Y }.
% 8.09/8.48  (21166) {G0,W11,D3,L2,V3,M2}  { ! class_Rings_Ocomm__semiring__1( X ), 
% 8.09/8.48    c_Groups_Oplus__class_Oplus( X, Z, Y ) = c_Groups_Oplus__class_Oplus( X, 
% 8.09/8.48    Y, Z ) }.
% 8.09/8.48  (21167) {G0,W17,D4,L2,V4,M2}  { ! class_Rings_Ocomm__semiring__1( X ), 
% 8.09/8.48    c_Groups_Oplus__class_Oplus( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y )
% 8.09/8.48     ) = c_Groups_Oplus__class_Oplus( X, Z, c_Groups_Oplus__class_Oplus( X, T
% 8.09/8.48    , Y ) ) }.
% 8.09/8.48  (21168) {G0,W17,D4,L2,V4,M2}  { ! class_Rings_Ocomm__semiring__1( X ), 
% 8.09/8.48    c_Groups_Oplus__class_Oplus( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y )
% 8.09/8.48     ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Oplus__class_Oplus( X, T, Z
% 8.09/8.48     ), Y ) }.
% 8.09/8.48  (21169) {G0,W17,D4,L2,V4,M2}  { ! class_Rings_Ocomm__semiring__1( X ), 
% 8.09/8.48    c_Groups_Oplus__class_Oplus( X, c_Groups_Oplus__class_Oplus( X, T, Z ), Y
% 8.09/8.48     ) = c_Groups_Oplus__class_Oplus( X, T, c_Groups_Oplus__class_Oplus( X, Z
% 8.09/8.48    , Y ) ) }.
% 8.09/8.48  (21170) {G0,W17,D4,L2,V4,M2}  { ! class_Rings_Ocomm__semiring__1( X ), 
% 8.09/8.48    c_Groups_Oplus__class_Oplus( X, c_Groups_Oplus__class_Oplus( X, T, Z ), Y
% 8.09/8.48     ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Oplus__class_Oplus( X, T, Y
% 8.09/8.48     ), Z ) }.
% 8.09/8.48  (21171) {G0,W23,D4,L2,V5,M2}  { ! class_Rings_Ocomm__semiring__1( X ), 
% 8.09/8.48    c_Groups_Oplus__class_Oplus( X, c_Groups_Oplus__class_Oplus( X, U, T ), 
% 8.09/8.48    c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus( X
% 8.09/8.48    , c_Groups_Oplus__class_Oplus( X, U, Z ), c_Groups_Oplus__class_Oplus( X
% 8.09/8.48    , T, Y ) ) }.
% 8.09/8.48  (21172) {G0,W17,D4,L2,V4,M2}  { ! class_Groups_Oab__semigroup__add( X ), 
% 8.09/8.48    c_Groups_Oplus__class_Oplus( X, c_Groups_Oplus__class_Oplus( X, T, Z ), Y
% 8.09/8.48     ) = c_Groups_Oplus__class_Oplus( X, T, c_Groups_Oplus__class_Oplus( X, Z
% 8.09/8.48    , Y ) ) }.
% 8.09/8.48  (21173) {G0,W14,D3,L3,V4,M3}  { ! class_Groups_Ocancel__semigroup__add( X )
% 8.09/8.48    , ! c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus
% 8.09/8.48    ( X, T, Y ), Z = Y }.
% 8.09/8.48  (21174) {G0,W14,D3,L3,V4,M3}  { ! class_Groups_Ocancel__semigroup__add( X )
% 8.09/8.48    , ! Z = Y, c_Groups_Oplus__class_Oplus( X, T, Z ) = 
% 8.09/8.48    c_Groups_Oplus__class_Oplus( X, T, Y ) }.
% 8.09/8.48  (21175) {G0,W14,D3,L3,V4,M3}  { ! class_Groups_Ocancel__semigroup__add( X )
% 8.09/8.48    , ! c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus
% 8.09/8.48    ( X, Y, Z ), T = Y }.
% 8.09/8.48  (21176) {G0,W14,D3,L3,V4,M3}  { ! class_Groups_Ocancel__semigroup__add( X )
% 8.09/8.48    , ! T = Y, c_Groups_Oplus__class_Oplus( X, T, Z ) = 
% 8.09/8.48    c_Groups_Oplus__class_Oplus( X, Y, Z ) }.
% 8.09/8.48  (21177) {G0,W14,D3,L3,V4,M3}  { ! class_Groups_Ocancel__semigroup__add( X )
% 8.09/8.48    , ! c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus
% 8.09/8.48    ( X, T, Y ), Z = Y }.
% 8.09/8.48  (21178) {G0,W14,D3,L3,V4,M3}  { ! class_Groups_Ocancel__ab__semigroup__add
% 8.09/8.48    ( X ), ! c_Groups_Oplus__class_Oplus( X, T, Z ) = 
% 8.09/8.48    c_Groups_Oplus__class_Oplus( X, T, Y ), Z = Y }.
% 8.09/8.48  (21179) {G0,W14,D3,L3,V4,M3}  { ! class_Groups_Ocancel__semigroup__add( X )
% 8.09/8.48    , ! c_Groups_Oplus__class_Oplus( X, Z, T ) = c_Groups_Oplus__class_Oplus
% 8.09/8.48    ( X, Y, T ), Z = Y }.
% 8.09/8.48  (21180) {G0,W35,D7,L4,V3,M4}  { ! class_Fields_Ofield( X ), Y = 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ), 
% 8.09/8.48    c_Groups_Oplus__class_Oplus( X, c_Rings_Oinverse__class_Oinverse( X, Y )
% 8.09/8.48    , c_Rings_Oinverse__class_Oinverse( X, Z ) ) = hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, hAPP( c_Groups_Otimes__class_Otimes( X
% 8.09/8.48    , c_Groups_Oplus__class_Oplus( X, Y, Z ) ), 
% 8.09/8.48    c_Rings_Oinverse__class_Oinverse( X, Y ) ) ), 
% 8.09/8.48    c_Rings_Oinverse__class_Oinverse( X, Z ) ) }.
% 8.09/8.48  (21181) {G0,W35,D7,L4,V3,M4}  { ! class_Rings_Odivision__ring( X ), Y = 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ), 
% 8.09/8.48    c_Groups_Oplus__class_Oplus( X, c_Rings_Oinverse__class_Oinverse( X, Y )
% 8.09/8.48    , c_Rings_Oinverse__class_Oinverse( X, Z ) ) = hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, hAPP( c_Groups_Otimes__class_Otimes( X
% 8.09/8.48    , c_Rings_Oinverse__class_Oinverse( X, Y ) ), c_Groups_Oplus__class_Oplus
% 8.09/8.48    ( X, Y, Z ) ) ), c_Rings_Oinverse__class_Oinverse( X, Z ) ) }.
% 8.09/8.48  (21182) {G0,W9,D4,L2,V1,M2}  { ! class_Fields_Ofield__inverse__zero( X ), 
% 8.09/8.48    c_Rings_Oinverse__class_Oinverse( X, c_Groups_Ozero__class_Ozero( X ) ) =
% 8.09/8.48     c_Groups_Ozero__class_Ozero( X ) }.
% 8.09/8.48  (21183) {G0,W20,D3,L5,V3,M5}  { ! class_Rings_Odivision__ring( X ), ! 
% 8.09/8.48    c_Rings_Oinverse__class_Oinverse( X, Z ) = 
% 8.09/8.48    c_Rings_Oinverse__class_Oinverse( X, Y ), Z = c_Groups_Ozero__class_Ozero
% 8.09/8.48    ( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z = Y }.
% 8.09/8.48  (21184) {G0,W12,D3,L3,V2,M3}  { ! class_Rings_Odivision__ring( X ), ! 
% 8.09/8.48    c_Rings_Oinverse__class_Oinverse( X, Y ) = c_Groups_Ozero__class_Ozero( X
% 8.09/8.48     ), Y = c_Groups_Ozero__class_Ozero( X ) }.
% 8.09/8.48  (21185) {G0,W13,D4,L3,V2,M3}  { ! class_Rings_Odivision__ring( X ), Y = 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Oinverse( X, 
% 8.09/8.48    c_Rings_Oinverse__class_Oinverse( X, Y ) ) = Y }.
% 8.09/8.48  (21186) {G0,W12,D3,L3,V2,M3}  { ! class_Rings_Odivision__ring( X ), Y = 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), ! c_Rings_Oinverse__class_Oinverse( X, 
% 8.09/8.48    Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 8.09/8.48  (21187) {G0,W12,D3,L3,V2,M3}  { ! 
% 8.09/8.48    class_Rings_Odivision__ring__inverse__zero( X ), ! 
% 8.09/8.48    c_Rings_Oinverse__class_Oinverse( X, Y ) = c_Groups_Ozero__class_Ozero( X
% 8.09/8.48     ), Y = c_Groups_Ozero__class_Ozero( X ) }.
% 8.09/8.48  (21188) {G0,W12,D3,L3,V2,M3}  { ! 
% 8.09/8.48    class_Rings_Odivision__ring__inverse__zero( X ), ! Y = 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Oinverse( X, Y
% 8.09/8.48     ) = c_Groups_Ozero__class_Ozero( X ) }.
% 8.09/8.48  (21189) {G0,W9,D4,L2,V1,M2}  { ! class_Rings_Odivision__ring__inverse__zero
% 8.09/8.48    ( X ), c_Rings_Oinverse__class_Oinverse( X, c_Groups_Ozero__class_Ozero( 
% 8.09/8.48    X ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 8.09/8.48  (21190) {G0,W19,D5,L2,V3,M2}  { ! class_Fields_Ofield__inverse__zero( X ), 
% 8.09/8.48    c_Rings_Oinverse__class_Oinverse( X, hAPP( c_Groups_Otimes__class_Otimes
% 8.09/8.48    ( X, Z ), Y ) ) = hAPP( c_Groups_Otimes__class_Otimes( X, 
% 8.09/8.48    c_Rings_Oinverse__class_Oinverse( X, Z ) ), 
% 8.09/8.48    c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 8.09/8.48  (21191) {G0,W12,D3,L3,V2,M3}  { ! class_Fields_Ofield__inverse__zero( X ), 
% 8.09/8.48    ! c_Rings_Oinverse__class_Oinverse( X, Y ) = c_Groups_Oone__class_Oone( X
% 8.09/8.48     ), Y = c_Groups_Oone__class_Oone( X ) }.
% 8.09/8.48  (21192) {G0,W12,D3,L3,V2,M3}  { ! class_Fields_Ofield__inverse__zero( X ), 
% 8.09/8.48    ! Y = c_Groups_Oone__class_Oone( X ), c_Rings_Oinverse__class_Oinverse( X
% 8.09/8.48    , Y ) = c_Groups_Oone__class_Oone( X ) }.
% 8.09/8.48  (21193) {G0,W9,D4,L2,V1,M2}  { ! class_Rings_Odivision__ring( X ), 
% 8.09/8.48    c_Rings_Oinverse__class_Oinverse( X, c_Groups_Oone__class_Oone( X ) ) = 
% 8.09/8.48    c_Groups_Oone__class_Oone( X ) }.
% 8.09/8.48  (21194) {G0,W13,D4,L2,V3,M2}  { ! class_Fields_Ofield__inverse__zero( X ), 
% 8.09/8.48    c_Rings_Oinverse__class_Oinverse( X, c_Rings_Oinverse__class_Odivide( X, 
% 8.09/8.48    Z, Y ) ) = c_Rings_Oinverse__class_Odivide( X, Y, Z ) }.
% 8.09/8.48  (21195) {G0,W7,D4,L1,V0,M1}  { c_Rings_Oinverse__class_Oinverse( 
% 8.09/8.48    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) = 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 8.09/8.48  (21196) {G0,W9,D4,L2,V2,M2}  { ! class_Groups_Ocomm__monoid__add( X ), 
% 8.09/8.48    c_Groups_Oplus__class_Oplus( X, Y, c_Groups_Ozero__class_Ozero( X ) ) = Y
% 8.09/8.48     }.
% 8.09/8.48  (21197) {G0,W9,D4,L2,V2,M2}  { ! class_Groups_Omonoid__add( X ), 
% 8.09/8.48    c_Groups_Oplus__class_Oplus( X, Y, c_Groups_Ozero__class_Ozero( X ) ) = Y
% 8.09/8.48     }.
% 8.09/8.48  (21198) {G0,W13,D3,L3,V2,M3}  { ! class_Groups_Olinordered__ab__group__add
% 8.09/8.48    ( X ), ! c_Groups_Ozero__class_Ozero( X ) = c_Groups_Oplus__class_Oplus( 
% 8.09/8.48    X, Y, Y ), Y = c_Groups_Ozero__class_Ozero( X ) }.
% 8.09/8.48  (21199) {G0,W13,D3,L3,V2,M3}  { ! class_Groups_Olinordered__ab__group__add
% 8.09/8.48    ( X ), ! Y = c_Groups_Ozero__class_Ozero( X ), 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ) = c_Groups_Oplus__class_Oplus( X, Y, Y )
% 8.09/8.48     }.
% 8.09/8.48  (21200) {G0,W9,D4,L2,V2,M2}  { ! class_Groups_Ocomm__monoid__add( X ), 
% 8.09/8.48    c_Groups_Oplus__class_Oplus( X, c_Groups_Ozero__class_Ozero( X ), Y ) = Y
% 8.09/8.48     }.
% 8.09/8.48  (21201) {G0,W9,D4,L2,V2,M2}  { ! class_Groups_Omonoid__add( X ), 
% 8.09/8.48    c_Groups_Oplus__class_Oplus( X, c_Groups_Ozero__class_Ozero( X ), Y ) = Y
% 8.09/8.48     }.
% 8.09/8.48  (21202) {G0,W12,D3,L3,V3,M3}  { ! 
% 8.09/8.48    class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct( X
% 8.09/8.48     ), ! Z = c_Groups_Oplus__class_Oplus( X, Z, Y ), Y = 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ) }.
% 8.09/8.48  (21203) {G0,W12,D3,L3,V3,M3}  { ! 
% 8.09/8.48    class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct( X
% 8.09/8.48     ), ! Y = c_Groups_Ozero__class_Ozero( X ), Z = 
% 8.09/8.48    c_Groups_Oplus__class_Oplus( X, Z, Y ) }.
% 8.09/8.48  (21204) {G0,W9,D4,L2,V2,M2}  { ! class_Rings_Ocomm__semiring__1( X ), 
% 8.09/8.48    c_Groups_Oplus__class_Oplus( X, Y, c_Groups_Ozero__class_Ozero( X ) ) = Y
% 8.09/8.48     }.
% 8.09/8.48  (21205) {G0,W9,D4,L2,V2,M2}  { ! class_Rings_Ocomm__semiring__1( X ), 
% 8.09/8.48    c_Groups_Oplus__class_Oplus( X, c_Groups_Ozero__class_Ozero( X ), Y ) = Y
% 8.09/8.48     }.
% 8.09/8.48  (21206) {G0,W16,D3,L3,V4,M3}  { ! 
% 8.09/8.48    class_Groups_Oordered__ab__semigroup__add__imp__le( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T, 
% 8.09/8.48    Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 8.09/8.48  (21207) {G0,W16,D3,L3,V4,M3}  { ! 
% 8.09/8.48    class_Groups_Oordered__ab__semigroup__add__imp__le( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Z, 
% 8.09/8.48    T ), c_Groups_Oplus__class_Oplus( X, Y, T ) ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 8.09/8.48  (21208) {G0,W20,D3,L4,V5,M4}  { ! class_Groups_Oordered__ab__semigroup__add
% 8.09/8.48    ( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, U, T ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Z, 
% 8.09/8.48    U ), c_Groups_Oplus__class_Oplus( X, Y, T ) ) }.
% 8.09/8.48  (21209) {G0,W16,D3,L3,V4,M3}  { ! class_Groups_Oordered__ab__semigroup__add
% 8.09/8.48    ( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T, 
% 8.09/8.48    Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 8.09/8.48  (21210) {G0,W16,D3,L3,V4,M3}  { ! class_Groups_Oordered__ab__semigroup__add
% 8.09/8.48    ( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Z, 
% 8.09/8.48    T ), c_Groups_Oplus__class_Oplus( X, Y, T ) ) }.
% 8.09/8.48  (21211) {G0,W16,D3,L3,V4,M3}  { ! 
% 8.09/8.48    class_Groups_Oordered__ab__semigroup__add__imp__le( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T, 
% 8.09/8.48    Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 8.09/8.48  (21212) {G0,W16,D3,L3,V4,M3}  { ! 
% 8.09/8.48    class_Groups_Oordered__ab__semigroup__add__imp__le( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T, 
% 8.09/8.48    Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 8.09/8.48  (21213) {G0,W16,D3,L3,V4,M3}  { ! 
% 8.09/8.48    class_Groups_Oordered__ab__semigroup__add__imp__le( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T, 
% 8.09/8.48    Z ), c_Groups_Oplus__class_Oplus( X, Y, Z ) ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 8.09/8.48  (21214) {G0,W16,D3,L3,V4,M3}  { ! 
% 8.09/8.48    class_Groups_Oordered__ab__semigroup__add__imp__le( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, T, Y ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T, 
% 8.09/8.48    Z ), c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 8.09/8.48  (21215) {G0,W16,D3,L3,V4,M3}  { ! 
% 8.09/8.48    class_Groups_Oordered__ab__semigroup__add__imp__le( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 8.09/8.48    , c_Groups_Oplus__class_Oplus( X, Y, Z ) ), c_Orderings_Oord__class_Oless
% 8.09/8.48    ( X, T, Y ) }.
% 8.09/8.48  (21216) {G0,W16,D3,L3,V4,M3}  { ! 
% 8.09/8.48    class_Groups_Oordered__ab__semigroup__add__imp__le( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, T, Y ), c_Orderings_Oord__class_Oless( 
% 8.09/8.48    X, c_Groups_Oplus__class_Oplus( X, T, Z ), c_Groups_Oplus__class_Oplus( X
% 8.09/8.48    , Y, Z ) ) }.
% 8.09/8.48  (21217) {G0,W16,D3,L3,V4,M3}  { ! 
% 8.09/8.48    class_Groups_Oordered__ab__semigroup__add__imp__le( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 8.09/8.48    , c_Groups_Oplus__class_Oplus( X, T, Y ) ), c_Orderings_Oord__class_Oless
% 8.09/8.48    ( X, Z, Y ) }.
% 8.09/8.48  (21218) {G0,W16,D3,L3,V4,M3}  { ! 
% 8.09/8.48    class_Groups_Oordered__ab__semigroup__add__imp__le( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless( 
% 8.09/8.48    X, c_Groups_Oplus__class_Oplus( X, T, Z ), c_Groups_Oplus__class_Oplus( X
% 8.09/8.48    , T, Y ) ) }.
% 8.09/8.48  (21219) {G0,W16,D3,L3,V4,M3}  { ! 
% 8.09/8.48    class_Groups_Oordered__cancel__ab__semigroup__add( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless( 
% 8.09/8.48    X, c_Groups_Oplus__class_Oplus( X, Z, T ), c_Groups_Oplus__class_Oplus( X
% 8.09/8.48    , Y, T ) ) }.
% 8.09/8.48  (21220) {G0,W16,D3,L3,V4,M3}  { ! 
% 8.09/8.48    class_Groups_Oordered__cancel__ab__semigroup__add( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless( 
% 8.09/8.48    X, c_Groups_Oplus__class_Oplus( X, T, Z ), c_Groups_Oplus__class_Oplus( X
% 8.09/8.48    , T, Y ) ) }.
% 8.09/8.48  (21221) {G0,W20,D3,L4,V5,M4}  { ! 
% 8.09/8.48    class_Groups_Oordered__cancel__ab__semigroup__add( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 8.09/8.48    ( X, U, T ), c_Orderings_Oord__class_Oless( X, 
% 8.09/8.48    c_Groups_Oplus__class_Oplus( X, Z, U ), c_Groups_Oplus__class_Oplus( X, Y
% 8.09/8.48    , T ) ) }.
% 8.09/8.48  (21222) {G0,W16,D3,L3,V4,M3}  { ! 
% 8.09/8.48    class_Groups_Oordered__ab__semigroup__add__imp__le( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Z, T )
% 8.09/8.48    , c_Groups_Oplus__class_Oplus( X, Y, T ) ), c_Orderings_Oord__class_Oless
% 8.09/8.48    ( X, Z, Y ) }.
% 8.09/8.48  (21223) {G0,W16,D3,L3,V4,M3}  { ! 
% 8.09/8.48    class_Groups_Oordered__ab__semigroup__add__imp__le( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 8.09/8.48    , c_Groups_Oplus__class_Oplus( X, T, Y ) ), c_Orderings_Oord__class_Oless
% 8.09/8.48    ( X, Z, Y ) }.
% 8.09/8.48  (21224) {G0,W23,D5,L2,V4,M2}  { ! class_RealVector_Oreal__normed__algebra( 
% 8.09/8.48    X ), hAPP( c_Groups_Otimes__class_Otimes( X, T ), 
% 8.09/8.48    c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus( X
% 8.09/8.48    , hAPP( c_Groups_Otimes__class_Otimes( X, T ), Z ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, T ), Y ) ) }.
% 8.09/8.48  (21225) {G0,W23,D5,L2,V4,M2}  { ! class_RealVector_Oreal__normed__algebra( 
% 8.09/8.48    X ), hAPP( c_Groups_Otimes__class_Otimes( X, T ), 
% 8.09/8.48    c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus( X
% 8.09/8.48    , hAPP( c_Groups_Otimes__class_Otimes( X, T ), Z ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, T ), Y ) ) }.
% 8.09/8.48  (21226) {G0,W23,D5,L2,V4,M2}  { ! class_RealVector_Oreal__normed__algebra( 
% 8.09/8.48    X ), hAPP( c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus
% 8.09/8.48    ( X, T, Z ) ), Y ) = c_Groups_Oplus__class_Oplus( X, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, T ), Y ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Z ), Y ) ) }.
% 8.09/8.48  (21227) {G0,W23,D5,L2,V4,M2}  { ! class_RealVector_Oreal__normed__algebra( 
% 8.09/8.48    X ), hAPP( c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus
% 8.09/8.48    ( X, T, Z ) ), Y ) = c_Groups_Oplus__class_Oplus( X, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, T ), Y ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Z ), Y ) ) }.
% 8.09/8.48  (21228) {G0,W23,D5,L2,V4,M2}  { ! class_Rings_Ocomm__semiring__1( X ), hAPP
% 8.09/8.48    ( c_Groups_Otimes__class_Otimes( X, T ), c_Groups_Oplus__class_Oplus( X, 
% 8.09/8.48    Z, Y ) ) = c_Groups_Oplus__class_Oplus( X, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, T ), Z ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, T ), Y ) ) }.
% 8.09/8.48  (21229) {G0,W33,D5,L4,V5,M4}  { ! 
% 8.09/8.48    class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct( X
% 8.09/8.48     ), U = T, Z = Y, ! c_Groups_Oplus__class_Oplus( X, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, U ), Z ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, T ), Y ) ) = 
% 8.09/8.48    c_Groups_Oplus__class_Oplus( X, hAPP( c_Groups_Otimes__class_Otimes( X, U
% 8.09/8.48     ), Y ), hAPP( c_Groups_Otimes__class_Otimes( X, T ), Z ) ) }.
% 8.09/8.48  (21230) {G0,W30,D5,L3,V5,M3}  { ! 
% 8.09/8.48    class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct( X
% 8.09/8.48     ), c_Groups_Oplus__class_Oplus( X, hAPP( c_Groups_Otimes__class_Otimes( 
% 8.09/8.48    X, U ), Z ), hAPP( c_Groups_Otimes__class_Otimes( X, T ), Y ) ) = 
% 8.09/8.48    c_Groups_Oplus__class_Oplus( X, hAPP( c_Groups_Otimes__class_Otimes( X, U
% 8.09/8.48     ), Y ), hAPP( c_Groups_Otimes__class_Otimes( X, T ), Z ) ), ! U = T }.
% 8.09/8.48  (21231) {G0,W30,D5,L3,V5,M3}  { ! 
% 8.09/8.48    class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct( X
% 8.09/8.48     ), c_Groups_Oplus__class_Oplus( X, hAPP( c_Groups_Otimes__class_Otimes( 
% 8.09/8.48    X, U ), Z ), hAPP( c_Groups_Otimes__class_Otimes( X, T ), Y ) ) = 
% 8.09/8.48    c_Groups_Oplus__class_Oplus( X, hAPP( c_Groups_Otimes__class_Otimes( X, U
% 8.09/8.48     ), Y ), hAPP( c_Groups_Otimes__class_Otimes( X, T ), Z ) ), ! Z = Y }.
% 8.09/8.48  (21232) {G0,W23,D5,L2,V4,M2}  { ! class_Rings_Ocomm__semiring__1( X ), hAPP
% 8.09/8.48    ( c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, T, Z
% 8.09/8.48     ) ), Y ) = c_Groups_Oplus__class_Oplus( X, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, T ), Y ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Z ), Y ) ) }.
% 8.09/8.48  (21233) {G0,W23,D5,L2,V4,M2}  { ! class_Rings_Ocomm__semiring__1( X ), 
% 8.09/8.48    c_Groups_Oplus__class_Oplus( X, hAPP( c_Groups_Otimes__class_Otimes( X, T
% 8.09/8.48     ), Z ), hAPP( c_Groups_Otimes__class_Otimes( X, Y ), Z ) ) = hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, T, Y )
% 8.09/8.48     ), Z ) }.
% 8.09/8.48  (21234) {G0,W33,D5,L4,V5,M4}  { ! 
% 8.09/8.48    class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct( X
% 8.09/8.48     ), ! c_Groups_Oplus__class_Oplus( X, hAPP( c_Groups_Otimes__class_Otimes
% 8.09/8.48    ( X, U ), T ), hAPP( c_Groups_Otimes__class_Otimes( X, Z ), Y ) ) = 
% 8.09/8.48    c_Groups_Oplus__class_Oplus( X, hAPP( c_Groups_Otimes__class_Otimes( X, U
% 8.09/8.48     ), Y ), hAPP( c_Groups_Otimes__class_Otimes( X, Z ), T ) ), U = Z, T = Y
% 8.09/8.48     }.
% 8.09/8.48  (21235) {G0,W30,D5,L3,V5,M3}  { ! 
% 8.09/8.48    class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct( X
% 8.09/8.48     ), ! U = Z, c_Groups_Oplus__class_Oplus( X, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, U ), T ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Z ), Y ) ) = 
% 8.09/8.48    c_Groups_Oplus__class_Oplus( X, hAPP( c_Groups_Otimes__class_Otimes( X, U
% 8.09/8.48     ), Y ), hAPP( c_Groups_Otimes__class_Otimes( X, Z ), T ) ) }.
% 8.09/8.48  (21236) {G0,W30,D5,L3,V5,M3}  { ! 
% 8.09/8.48    class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct( X
% 8.09/8.48     ), ! T = Y, c_Groups_Oplus__class_Oplus( X, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, U ), T ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Z ), Y ) ) = 
% 8.09/8.48    c_Groups_Oplus__class_Oplus( X, hAPP( c_Groups_Otimes__class_Otimes( X, U
% 8.09/8.48     ), Y ), hAPP( c_Groups_Otimes__class_Otimes( X, Z ), T ) ) }.
% 8.09/8.48  (21237) {G0,W23,D5,L2,V4,M2}  { ! class_Rings_Ocomm__semiring( X ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 8.09/8.48     ), Y ) = c_Groups_Oplus__class_Oplus( X, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, T ), Y ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Z ), Y ) ) }.
% 8.09/8.48  (21238) {G0,W29,D6,L2,V5,M2}  { ! class_Rings_Osemiring( X ), 
% 8.09/8.48    c_Groups_Oplus__class_Oplus( X, hAPP( c_Groups_Otimes__class_Otimes( X, U
% 8.09/8.48     ), T ), c_Groups_Oplus__class_Oplus( X, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Z ), T ), Y ) ) = 
% 8.09/8.48    c_Groups_Oplus__class_Oplus( X, hAPP( c_Groups_Otimes__class_Otimes( X, 
% 8.09/8.48    c_Groups_Oplus__class_Oplus( X, U, Z ) ), T ), Y ) }.
% 8.09/8.48  (21239) {G0,W20,D4,L2,V4,M2}  { ! class_RealVector_Oreal__normed__field( X
% 8.09/8.48     ), c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, T
% 8.09/8.48    , Z ), Y ) = c_Groups_Oplus__class_Oplus( X, 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( X, T, Y ), 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 8.09/8.48  (21240) {G0,W20,D4,L2,V4,M2}  { ! class_Rings_Odivision__ring( X ), 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, T, Z
% 8.09/8.48     ), Y ) = c_Groups_Oplus__class_Oplus( X, c_Rings_Oinverse__class_Odivide
% 8.09/8.48    ( X, T, Y ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 8.09/8.48  (21241) {G0,W14,D3,L2,V3,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.09/8.48    tc_RealDef_Oreal, Y, X ), c_Orderings_Oord__class_Oless__eq( 
% 8.09/8.48    tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Z, Y ), 
% 8.09/8.48    c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Z, X ) ) }.
% 8.09/8.48  (21242) {G0,W21,D5,L1,V3,M1}  { hAPP( c_Groups_Otimes__class_Otimes( 
% 8.09/8.48    tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Z, Y ) )
% 8.09/8.48    , X ) = c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z ), X ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y ), X ) ) }.
% 8.09/8.48  (21243) {G0,W12,D3,L3,V2,M3}  { ! class_RealVector_Oreal__normed__vector( X
% 8.09/8.48     ), ! c_Groups_Osgn__class_Osgn( X, Y ) = c_Groups_Ozero__class_Ozero( X
% 8.09/8.48     ), Y = c_Groups_Ozero__class_Ozero( X ) }.
% 8.09/8.48  (21244) {G0,W12,D3,L3,V2,M3}  { ! class_RealVector_Oreal__normed__vector( X
% 8.09/8.48     ), ! Y = c_Groups_Ozero__class_Ozero( X ), c_Groups_Osgn__class_Osgn( X
% 8.09/8.48    , Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 8.09/8.48  (21245) {G0,W9,D4,L2,V1,M2}  { ! class_RealVector_Oreal__normed__vector( X
% 8.09/8.48     ), c_Groups_Osgn__class_Osgn( X, c_Groups_Ozero__class_Ozero( X ) ) = 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ) }.
% 8.09/8.48  (21246) {G0,W9,D4,L2,V1,M2}  { ! class_Groups_Osgn__if( X ), 
% 8.09/8.48    c_Groups_Osgn__class_Osgn( X, c_Groups_Ozero__class_Ozero( X ) ) = 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ) }.
% 8.09/8.48  (21247) {G0,W12,D3,L3,V2,M3}  { ! class_Rings_Olinordered__idom( X ), ! 
% 8.09/8.48    c_Groups_Osgn__class_Osgn( X, Y ) = c_Groups_Ozero__class_Ozero( X ), Y =
% 8.09/8.48     c_Groups_Ozero__class_Ozero( X ) }.
% 8.09/8.48  (21248) {G0,W12,D3,L3,V2,M3}  { ! class_Rings_Olinordered__idom( X ), ! Y =
% 8.09/8.48     c_Groups_Ozero__class_Ozero( X ), c_Groups_Osgn__class_Osgn( X, Y ) = 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ) }.
% 8.09/8.48  (21249) {G0,W19,D5,L2,V3,M2}  { ! 
% 8.09/8.48    class_RealVector_Oreal__normed__div__algebra( X ), 
% 8.09/8.48    c_Groups_Osgn__class_Osgn( X, hAPP( c_Groups_Otimes__class_Otimes( X, Z )
% 8.09/8.48    , Y ) ) = hAPP( c_Groups_Otimes__class_Otimes( X, 
% 8.09/8.48    c_Groups_Osgn__class_Osgn( X, Z ) ), c_Groups_Osgn__class_Osgn( X, Y ) )
% 8.09/8.48     }.
% 8.09/8.48  (21250) {G0,W19,D5,L2,V3,M2}  { ! class_Rings_Olinordered__idom( X ), 
% 8.09/8.48    c_Groups_Osgn__class_Osgn( X, hAPP( c_Groups_Otimes__class_Otimes( X, Z )
% 8.09/8.48    , Y ) ) = hAPP( c_Groups_Otimes__class_Otimes( X, 
% 8.09/8.48    c_Groups_Osgn__class_Osgn( X, Z ) ), c_Groups_Osgn__class_Osgn( X, Y ) )
% 8.09/8.48     }.
% 8.09/8.48  (21251) {G0,W9,D4,L2,V1,M2}  { ! class_RealVector_Oreal__normed__algebra__1
% 8.09/8.48    ( X ), c_Groups_Osgn__class_Osgn( X, c_Groups_Oone__class_Oone( X ) ) = 
% 8.09/8.48    c_Groups_Oone__class_Oone( X ) }.
% 8.09/8.48  (21252) {G0,W14,D3,L3,V2,M3}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Oinverse( X
% 8.09/8.48    , Y ), c_Groups_Ozero__class_Ozero( X ) ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 8.09/8.48     ) }.
% 8.09/8.48  (21253) {G0,W14,D3,L3,V2,M3}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 8.09/8.48     ), c_Orderings_Oord__class_Oless__eq( X, 
% 8.09/8.48    c_Rings_Oinverse__class_Oinverse( X, Y ), c_Groups_Ozero__class_Ozero( X
% 8.09/8.48     ) ) }.
% 8.09/8.48  (21254) {G0,W14,D3,L3,V2,M3}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), 
% 8.09/8.48    c_Rings_Oinverse__class_Oinverse( X, Y ) ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 8.09/8.48     ) }.
% 8.09/8.48  (21255) {G0,W14,D3,L3,V2,M3}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 8.09/8.48     ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 8.09/8.48     ), c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 8.09/8.48  (21256) {G0,W19,D3,L4,V3,M4}  { ! class_Fields_Olinordered__field( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Oinverse( X, Z
% 8.09/8.48     ), c_Rings_Oinverse__class_Oinverse( X, Y ) ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 8.09/8.48  (21257) {G0,W19,D3,L4,V3,M4}  { ! class_Fields_Olinordered__field( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Oinverse( X, Z
% 8.09/8.48     ), c_Rings_Oinverse__class_Oinverse( X, Y ) ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 8.09/8.48  (21258) {G0,W18,D3,L4,V2,M4}  { ! class_Fields_Olinordered__field( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Oinverse( X, Y
% 8.09/8.48     ), c_Groups_Ozero__class_Ozero( X ) ), Y = c_Groups_Ozero__class_Ozero( 
% 8.09/8.48    X ), c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X
% 8.09/8.48     ) ) }.
% 8.09/8.48  (21259) {G0,W19,D3,L4,V3,M4}  { ! class_Fields_Olinordered__field( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 8.09/8.48    ( X, Y, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 8.09/8.48    ( X, c_Rings_Oinverse__class_Oinverse( X, Y ), 
% 8.09/8.48    c_Rings_Oinverse__class_Oinverse( X, Z ) ) }.
% 8.09/8.48  (21260) {G0,W19,D3,L4,V3,M4}  { ! class_Fields_Olinordered__field( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 8.09/8.48    ( X, c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless
% 8.09/8.48    ( X, c_Rings_Oinverse__class_Oinverse( X, Y ), 
% 8.09/8.48    c_Rings_Oinverse__class_Oinverse( X, Z ) ) }.
% 8.09/8.48  (21261) {G0,W14,D3,L3,V2,M3}  { ! class_Fields_Olinordered__field( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Oinverse( X, Y
% 8.09/8.48     ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 8.09/8.48  (21262) {G0,W18,D3,L4,V2,M4}  { ! class_Fields_Olinordered__field( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), 
% 8.09/8.48    c_Rings_Oinverse__class_Oinverse( X, Y ) ), Y = 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless( X, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 8.09/8.48  (21263) {G0,W14,D3,L3,V2,M3}  { ! class_Fields_Olinordered__field( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), 
% 8.09/8.48    c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 8.09/8.48  (21264) {G0,W14,D3,L3,V2,M3}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Oinverse( X, Y
% 8.09/8.48     ), c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 8.09/8.48    , Y, c_Groups_Ozero__class_Ozero( X ) ) }.
% 8.09/8.48  (21265) {G0,W14,D3,L3,V2,M3}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Oinverse( X, Y
% 8.09/8.48     ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 8.09/8.48  (21266) {G0,W14,D3,L3,V2,M3}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), 
% 8.09/8.48    c_Rings_Oinverse__class_Oinverse( X, Y ) ), c_Orderings_Oord__class_Oless
% 8.09/8.48    ( X, c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 8.09/8.48  (21267) {G0,W14,D3,L3,V2,M3}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), 
% 8.09/8.48    c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 8.09/8.48  (21268) {G0,W27,D5,L4,V3,M4}  { ! class_Rings_Odivision__ring( X ), Y = 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ), 
% 8.09/8.48    c_Rings_Oinverse__class_Oinverse( X, hAPP( c_Groups_Otimes__class_Otimes
% 8.09/8.48    ( X, Y ), Z ) ) = hAPP( c_Groups_Otimes__class_Otimes( X, 
% 8.09/8.48    c_Rings_Oinverse__class_Oinverse( X, Z ) ), 
% 8.09/8.48    c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 8.09/8.48  (21269) {G0,W15,D4,L3,V3,M3}  { ! class_Rings_Odivision__ring( X ), ! hAPP
% 8.09/8.48    ( c_Groups_Otimes__class_Otimes( X, Z ), Y ) = c_Groups_Oone__class_Oone
% 8.09/8.48    ( X ), c_Rings_Oinverse__class_Oinverse( X, Z ) = Y }.
% 8.09/8.48  (21270) {G0,W14,D4,L2,V3,M2}  { ! class_Fields_Ofield( X ), 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( X, Z, Y ) = hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Z ), c_Rings_Oinverse__class_Oinverse( 
% 8.09/8.48    X, Y ) ) }.
% 8.09/8.48  (21271) {G0,W14,D4,L2,V3,M2}  { ! class_Rings_Odivision__ring( X ), 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( X, Z, Y ) = hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Z ), c_Rings_Oinverse__class_Oinverse( 
% 8.09/8.48    X, Y ) ) }.
% 8.09/8.48  (21272) {G0,W11,D4,L2,V2,M2}  { ! class_Fields_Ofield( X ), 
% 8.09/8.48    c_Rings_Oinverse__class_Oinverse( X, Y ) = 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( X, c_Groups_Oone__class_Oone( X ), Y )
% 8.09/8.48     }.
% 8.09/8.48  (21273) {G0,W11,D4,L2,V2,M2}  { ! class_Rings_Odivision__ring( X ), 
% 8.09/8.48    c_Rings_Oinverse__class_Oinverse( X, Y ) = 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( X, c_Groups_Oone__class_Oone( X ), Y )
% 8.09/8.48     }.
% 8.09/8.48  (21274) {G0,W20,D3,L4,V3,M4}  { ! class_Groups_Oordered__comm__monoid__add
% 8.09/8.48    ( X ), ! c_Orderings_Oord__class_Oless__eq( X, Y, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless__eq( 
% 8.09/8.48    X, Z, c_Groups_Ozero__class_Ozero( X ) ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Y, 
% 8.09/8.48    Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 8.09/8.48  (21275) {G0,W18,D3,L4,V4,M4}  { ! class_Groups_Oordered__comm__monoid__add
% 8.09/8.48    ( X ), ! c_Orderings_Oord__class_Oless__eq( X, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), Y ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, T, Z ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Oplus__class_Oplus( X, 
% 8.09/8.48    Z, Y ) ) }.
% 8.09/8.48  (21276) {G0,W18,D3,L4,V4,M4}  { ! class_Groups_Oordered__comm__monoid__add
% 8.09/8.48    ( X ), ! c_Orderings_Oord__class_Oless__eq( X, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), Y ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, T, Z ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Oplus__class_Oplus( X, 
% 8.09/8.48    Y, Z ) ) }.
% 8.09/8.48  (21277) {G0,W23,D3,L5,V3,M5}  { ! class_Groups_Oordered__comm__monoid__add
% 8.09/8.48    ( X ), ! c_Orderings_Oord__class_Oless__eq( X, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), Y ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 8.09/8.48     ), ! c_Groups_Oplus__class_Oplus( X, Y, Z ) = 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 8.09/8.48     }.
% 8.09/8.48  (21278) {G0,W23,D3,L5,V3,M5}  { ! class_Groups_Oordered__comm__monoid__add
% 8.09/8.48    ( X ), ! c_Orderings_Oord__class_Oless__eq( X, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), Y ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 8.09/8.48     ), ! c_Groups_Oplus__class_Oplus( X, Y, Z ) = 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X )
% 8.09/8.48     }.
% 8.09/8.48  (21279) {G0,W27,D3,L6,V3,M6}  { ! class_Groups_Oordered__comm__monoid__add
% 8.09/8.48    ( X ), ! c_Orderings_Oord__class_Oless__eq( X, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), Y ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 8.09/8.48     ), ! Y = c_Groups_Ozero__class_Ozero( X ), ! Z = 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, Y, Z ) 
% 8.09/8.48    = c_Groups_Ozero__class_Ozero( X ) }.
% 8.09/8.48  (21280) {G0,W20,D3,L4,V3,M4}  { ! class_Groups_Oordered__comm__monoid__add
% 8.09/8.48    ( X ), ! c_Orderings_Oord__class_Oless__eq( X, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), Y ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 8.09/8.48     ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 8.09/8.48     ), c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 8.09/8.48  (21281) {G0,W15,D3,L3,V2,M3}  { ! class_Groups_Olinordered__ab__group__add
% 8.09/8.48    ( X ), ! c_Orderings_Oord__class_Oless__eq( X, 
% 8.09/8.48    c_Groups_Oplus__class_Oplus( X, Y, Y ), c_Groups_Ozero__class_Ozero( X )
% 8.09/8.48     ), c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero
% 8.09/8.48    ( X ) ) }.
% 8.09/8.48  (21282) {G0,W15,D3,L3,V2,M3}  { ! class_Groups_Olinordered__ab__group__add
% 8.09/8.48    ( X ), ! c_Orderings_Oord__class_Oless__eq( X, Y, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 8.09/8.48    , c_Groups_Oplus__class_Oplus( X, Y, Y ), c_Groups_Ozero__class_Ozero( X
% 8.09/8.48     ) ) }.
% 8.09/8.48  (21283) {G0,W15,D3,L3,V2,M3}  { ! class_Groups_Olinordered__ab__group__add
% 8.09/8.48    ( X ), ! c_Orderings_Oord__class_Oless__eq( X, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, Y, Y )
% 8.09/8.48     ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 8.09/8.48     ), Y ) }.
% 8.09/8.48  (21284) {G0,W15,D3,L3,V2,M3}  { ! class_Groups_Olinordered__ab__group__add
% 8.09/8.48    ( X ), ! c_Orderings_Oord__class_Oless__eq( X, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless__eq
% 8.09/8.48    ( X, c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, Y
% 8.09/8.48    , Y ) ) }.
% 8.09/8.48  (21285) {G0,W20,D3,L4,V3,M4}  { ! class_Groups_Oordered__comm__monoid__add
% 8.09/8.48    ( X ), ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero
% 8.09/8.48    ( X ) ), ! c_Orderings_Oord__class_Oless( X, Z, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, 
% 8.09/8.48    c_Groups_Oplus__class_Oplus( X, Y, Z ), c_Groups_Ozero__class_Ozero( X )
% 8.09/8.48     ) }.
% 8.09/8.48  (21286) {G0,W20,D3,L4,V3,M4}  { ! class_Groups_Oordered__comm__monoid__add
% 8.09/8.48    ( X ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X
% 8.09/8.48     ), Y ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero
% 8.09/8.48    ( X ), Z ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero
% 8.09/8.48    ( X ), c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 8.09/8.48  (21287) {G0,W15,D3,L3,V2,M3}  { ! class_Groups_Olinordered__ab__group__add
% 8.09/8.48    ( X ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X
% 8.09/8.48    , Y, Y ), c_Groups_Ozero__class_Ozero( X ) ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 8.09/8.48     }.
% 8.09/8.48  (21288) {G0,W15,D3,L3,V2,M3}  { ! class_Groups_Olinordered__ab__group__add
% 8.09/8.48    ( X ), ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero
% 8.09/8.48    ( X ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X
% 8.09/8.48    , Y, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 8.09/8.48  (21289) {G0,W15,D3,L3,V2,M3}  { ! class_Groups_Olinordered__ab__group__add
% 8.09/8.48    ( X ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X
% 8.09/8.48     ), c_Groups_Oplus__class_Oplus( X, Y, Y ) ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 8.09/8.48     }.
% 8.09/8.48  (21290) {G0,W15,D3,L3,V2,M3}  { ! class_Groups_Olinordered__ab__group__add
% 8.09/8.48    ( X ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X
% 8.09/8.48     ), Y ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X
% 8.09/8.48     ), c_Groups_Oplus__class_Oplus( X, Y, Y ) ) }.
% 8.09/8.48  (21291) {G0,W18,D3,L4,V4,M4}  { ! class_Rings_Olinordered__semidom( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ), 
% 8.09/8.48    ! c_Orderings_Oord__class_Oless( X, T, Z ), c_Orderings_Oord__class_Oless
% 8.09/8.48    ( X, T, c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 8.09/8.48  (21292) {G0,W20,D3,L4,V5,M4}  { ! 
% 8.09/8.48    class_Groups_Oordered__cancel__ab__semigroup__add( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, Y ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, U, T ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Z, U )
% 8.09/8.48    , c_Groups_Oplus__class_Oplus( X, Y, T ) ) }.
% 8.09/8.48  (21293) {G0,W20,D3,L4,V5,M4}  { ! 
% 8.09/8.48    class_Groups_Oordered__cancel__ab__semigroup__add( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, U, T ), c_Orderings_Oord__class_Oless( 
% 8.09/8.48    X, c_Groups_Oplus__class_Oplus( X, Z, U ), c_Groups_Oplus__class_Oplus( X
% 8.09/8.48    , Y, T ) ) }.
% 8.09/8.48  (21294) {G0,W29,D5,L5,V6,M5}  { ! 
% 8.09/8.48    class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct( X
% 8.09/8.48     ), Y = c_Groups_Ozero__class_Ozero( X ), ! W = U, T = Z, ! 
% 8.09/8.48    c_Groups_Oplus__class_Oplus( X, W, hAPP( c_Groups_Otimes__class_Otimes( X
% 8.09/8.48    , Y ), T ) ) = c_Groups_Oplus__class_Oplus( X, U, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Y ), Z ) ) }.
% 8.09/8.48  (21295) {G0,W10,D4,L2,V2,M2}  { ! class_Rings_Olinordered__semidom( X ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Y, c_Groups_Oplus__class_Oplus( X, Y, 
% 8.09/8.48    c_Groups_Oone__class_Oone( X ) ) ) }.
% 8.09/8.48  (21296) {G0,W20,D6,L2,V3,M2}  { ! class_Rings_Ocomm__semiring__1( X ), 
% 8.09/8.48    c_Groups_Oplus__class_Oplus( X, hAPP( c_Groups_Otimes__class_Otimes( X, Z
% 8.09/8.48     ), Y ), Y ) = hAPP( c_Groups_Otimes__class_Otimes( X, 
% 8.09/8.48    c_Groups_Oplus__class_Oplus( X, Z, c_Groups_Oone__class_Oone( X ) ) ), Y
% 8.09/8.48     ) }.
% 8.09/8.48  (21297) {G0,W20,D6,L2,V3,M2}  { ! class_Rings_Ocomm__semiring__1( X ), 
% 8.09/8.48    c_Groups_Oplus__class_Oplus( X, Z, hAPP( c_Groups_Otimes__class_Otimes( X
% 8.09/8.48    , Y ), Z ) ) = hAPP( c_Groups_Otimes__class_Otimes( X, 
% 8.09/8.48    c_Groups_Oplus__class_Oplus( X, Y, c_Groups_Oone__class_Oone( X ) ) ), Z
% 8.09/8.48     ) }.
% 8.09/8.48  (21298) {G0,W17,D6,L2,V2,M2}  { ! class_Rings_Ocomm__semiring__1( X ), 
% 8.09/8.48    c_Groups_Oplus__class_Oplus( X, Y, Y ) = hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, 
% 8.09/8.48    c_Groups_Oone__class_Oone( X ), c_Groups_Oone__class_Oone( X ) ) ), Y )
% 8.09/8.48     }.
% 8.09/8.48  (21299) {G0,W12,D4,L1,V2,M1}  { c_Rings_Oinverse__class_Odivide( 
% 8.09/8.48    tc_RealDef_Oreal, Y, X ) = hAPP( c_Groups_Otimes__class_Otimes( 
% 8.09/8.48    tc_RealDef_Oreal, Y ), c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal
% 8.09/8.48    , X ) ) }.
% 8.09/8.48  (21300) {G0,W12,D4,L1,V2,M1}  { c_Rings_Oinverse__class_Odivide( 
% 8.09/8.48    tc_RealDef_Oreal, Y, X ) = hAPP( c_Groups_Otimes__class_Otimes( 
% 8.09/8.48    tc_RealDef_Oreal, Y ), c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal
% 8.09/8.48    , X ) ) }.
% 8.09/8.48  (21301) {G0,W19,D5,L2,V2,M2}  { ! c_Groups_Oplus__class_Oplus( 
% 8.09/8.48    tc_RealDef_Oreal, hAPP( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, 
% 8.09/8.48    Y ), Y ), hAPP( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X ), X )
% 8.09/8.48     ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y = 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 8.09/8.48  (21302) {G0,W19,D5,L2,V2,M2}  { ! c_Groups_Oplus__class_Oplus( 
% 8.09/8.48    tc_RealDef_Oreal, hAPP( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, 
% 8.09/8.48    Y ), Y ), hAPP( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X ), X )
% 8.09/8.48     ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X = 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 8.09/8.48  (21303) {G0,W23,D5,L3,V2,M3}  { ! Y = c_Groups_Ozero__class_Ozero( 
% 8.09/8.48    tc_RealDef_Oreal ), ! X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal )
% 8.09/8.48    , c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y ), Y ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X ), X ) ) = 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 8.09/8.48  (21304) {G0,W14,D3,L3,V2,M3}  { ! class_Rings_Olinordered__idom( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Osgn__class_Osgn( X, Y ), 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, Y, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ) ) }.
% 8.09/8.48  (21305) {G0,W14,D3,L3,V2,M3}  { ! class_Rings_Olinordered__idom( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Osgn__class_Osgn( X, Y ), 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ) ) }.
% 8.09/8.48  (21306) {G0,W14,D3,L3,V2,M3}  { ! class_Rings_Olinordered__idom( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), 
% 8.09/8.48    c_Groups_Osgn__class_Osgn( X, Y ) ), c_Orderings_Oord__class_Oless( X, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 8.09/8.48  (21307) {G0,W14,D3,L3,V2,M3}  { ! class_Rings_Olinordered__idom( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), 
% 8.09/8.48    c_Groups_Osgn__class_Osgn( X, Y ) ) }.
% 8.09/8.48  (21308) {G0,W19,D3,L4,V3,M4}  { ! class_Fields_Olinordered__field( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Oinverse( X
% 8.09/8.48    , Z ), c_Rings_Oinverse__class_Oinverse( X, Y ) ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 8.09/8.48  (21309) {G0,W19,D3,L4,V3,M4}  { ! class_Fields_Olinordered__field( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Oinverse( X
% 8.09/8.48    , Z ), c_Rings_Oinverse__class_Oinverse( X, Y ) ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 8.09/8.48  (21310) {G0,W19,D3,L4,V3,M4}  { ! class_Fields_Olinordered__field( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Oinverse( X
% 8.09/8.48    , Y ), c_Rings_Oinverse__class_Oinverse( X, Z ) ) }.
% 8.09/8.48  (21311) {G0,W19,D3,L4,V3,M4}  { ! class_Fields_Olinordered__field( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Oinverse( X
% 8.09/8.48    , Y ), c_Rings_Oinverse__class_Oinverse( X, Z ) ) }.
% 8.09/8.48  (21312) {G0,W19,D3,L4,V2,M4}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Oinverse( X
% 8.09/8.48    , Y ), c_Groups_Oone__class_Oone( X ) ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 8.09/8.48     ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X )
% 8.09/8.48    , Y ) }.
% 8.09/8.48  (21313) {G0,W14,D3,L3,V2,M3}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 8.09/8.48     ), c_Orderings_Oord__class_Oless__eq( X, 
% 8.09/8.48    c_Rings_Oinverse__class_Oinverse( X, Y ), c_Groups_Oone__class_Oone( X )
% 8.09/8.48     ) }.
% 8.09/8.48  (21314) {G0,W14,D3,L3,V2,M3}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ), Y )
% 8.09/8.48    , c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Oinverse
% 8.09/8.48    ( X, Y ), c_Groups_Oone__class_Oone( X ) ) }.
% 8.09/8.48  (21315) {G0,W19,D3,L4,V2,M4}  { ! class_Fields_Olinordered__field( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ), 
% 8.09/8.48    ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Oone__class_Oone( X ) ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ), 
% 8.09/8.48    c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 8.09/8.48  (21316) {G0,W14,D3,L3,V2,M3}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ), 
% 8.09/8.48    c_Rings_Oinverse__class_Oinverse( X, Y ) ), c_Orderings_Oord__class_Oless
% 8.09/8.48    ( X, c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 8.09/8.48  (21317) {G0,W14,D3,L3,V2,M3}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ), 
% 8.09/8.48    c_Rings_Oinverse__class_Oinverse( X, Y ) ), c_Orderings_Oord__class_Oless
% 8.09/8.48    ( X, Y, c_Groups_Oone__class_Oone( X ) ) }.
% 8.09/8.48  (21318) {G0,W19,D3,L4,V2,M4}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ), 
% 8.09/8.48    ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Oone__class_Oone( X ) ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ), 
% 8.09/8.48    c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 8.09/8.48  (21319) {G0,W16,D5,L3,V2,M3}  { ! class_Fields_Ofield( X ), Y = 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), hAPP( c_Groups_Otimes__class_Otimes( X
% 8.09/8.48    , c_Rings_Oinverse__class_Oinverse( X, Y ) ), Y ) = 
% 8.09/8.48    c_Groups_Oone__class_Oone( X ) }.
% 8.09/8.48  (21320) {G0,W16,D5,L3,V2,M3}  { ! class_Rings_Odivision__ring( X ), Y = 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), hAPP( c_Groups_Otimes__class_Otimes( X
% 8.09/8.48    , c_Rings_Oinverse__class_Oinverse( X, Y ) ), Y ) = 
% 8.09/8.48    c_Groups_Oone__class_Oone( X ) }.
% 8.09/8.48  (21321) {G0,W16,D4,L3,V2,M3}  { ! class_Rings_Odivision__ring( X ), Y = 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), hAPP( c_Groups_Otimes__class_Otimes( X
% 8.09/8.48    , Y ), c_Rings_Oinverse__class_Oinverse( X, Y ) ) = 
% 8.09/8.48    c_Groups_Oone__class_Oone( X ) }.
% 8.09/8.48  (21322) {G0,W15,D4,L3,V2,M3}  { ! class_Rings_Odivision__ring( X ), Y = 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Oinverse( X, Y
% 8.09/8.48     ) = c_Rings_Oinverse__class_Odivide( X, c_Groups_Oone__class_Oone( X ), 
% 8.09/8.48    Y ) }.
% 8.09/8.48  (21323) {G0,W20,D3,L4,V3,M4}  { ! class_Groups_Oordered__comm__monoid__add
% 8.09/8.48    ( X ), ! c_Orderings_Oord__class_Oless__eq( X, Y, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless( X, Z
% 8.09/8.48    , c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, 
% 8.09/8.48    c_Groups_Oplus__class_Oplus( X, Y, Z ), c_Groups_Ozero__class_Ozero( X )
% 8.09/8.48     ) }.
% 8.09/8.48  (21324) {G0,W20,D3,L4,V3,M4}  { ! class_Groups_Oordered__comm__monoid__add
% 8.09/8.48    ( X ), ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero
% 8.09/8.48    ( X ) ), ! c_Orderings_Oord__class_Oless__eq( X, Z, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, 
% 8.09/8.48    c_Groups_Oplus__class_Oplus( X, Y, Z ), c_Groups_Ozero__class_Ozero( X )
% 8.09/8.48     ) }.
% 8.09/8.48  (21325) {G0,W18,D3,L4,V4,M4}  { ! class_Groups_Oordered__comm__monoid__add
% 8.09/8.48    ( X ), ! c_Orderings_Oord__class_Oless__eq( X, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless( X
% 8.09/8.48    , T, Z ), c_Orderings_Oord__class_Oless( X, T, 
% 8.09/8.48    c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 8.09/8.48  (21326) {G0,W18,D3,L4,V4,M4}  { ! class_Groups_Oordered__comm__monoid__add
% 8.09/8.48    ( X ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X
% 8.09/8.48     ), Y ), ! c_Orderings_Oord__class_Oless__eq( X, T, Z ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, T, c_Groups_Oplus__class_Oplus( X, Y, Z
% 8.09/8.48     ) ) }.
% 8.09/8.48  (21327) {G0,W20,D3,L4,V3,M4}  { ! class_Groups_Oordered__comm__monoid__add
% 8.09/8.48    ( X ), ! c_Orderings_Oord__class_Oless__eq( X, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless( X
% 8.09/8.48    , c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless( X
% 8.09/8.48    , c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, Y, Z
% 8.09/8.48     ) ) }.
% 8.09/8.48  (21328) {G0,W20,D3,L4,V3,M4}  { ! class_Groups_Oordered__comm__monoid__add
% 8.09/8.48    ( X ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X
% 8.09/8.48     ), Y ), ! c_Orderings_Oord__class_Oless__eq( X, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless( X, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, Y, Z )
% 8.09/8.48     ) }.
% 8.09/8.48  (21329) {G0,W12,D4,L2,V1,M2}  { ! class_Rings_Olinordered__semidom( X ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), 
% 8.09/8.48    c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ), 
% 8.09/8.48    c_Groups_Oone__class_Oone( X ) ) ) }.
% 8.09/8.48  (21330) {G0,W40,D6,L4,V5,M4}  { ! class_Fields_Ofield( X ), Y = 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ), 
% 8.09/8.48    c_Groups_Oplus__class_Oplus( X, c_Rings_Oinverse__class_Odivide( X, U, Y
% 8.09/8.48     ), c_Rings_Oinverse__class_Odivide( X, T, Z ) ) = 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, hAPP
% 8.09/8.48    ( c_Groups_Otimes__class_Otimes( X, U ), Z ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, T ), Y ) ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Y ), Z ) ) }.
% 8.09/8.48  (21331) {G0,W25,D6,L3,V4,M3}  { ! class_Fields_Ofield( X ), Y = 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ) = 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, T, 
% 8.09/8.48    hAPP( c_Groups_Otimes__class_Otimes( X, Y ), Z ) ), Y ) }.
% 8.09/8.48  (21332) {G0,W25,D6,L3,V4,M3}  { ! class_Fields_Ofield__inverse__zero( X ), 
% 8.09/8.48    Y = c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ) = 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, T, 
% 8.09/8.48    hAPP( c_Groups_Otimes__class_Otimes( X, Z ), Y ) ), Y ) }.
% 8.09/8.48  (21333) {G0,W25,D6,L3,V4,M3}  { ! class_Fields_Ofield( X ), Y = 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, T, 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) = 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, hAPP
% 8.09/8.48    ( c_Groups_Otimes__class_Otimes( X, Y ), T ), Z ), Y ) }.
% 8.09/8.48  (21334) {G0,W25,D6,L3,V4,M3}  { ! class_Fields_Ofield__inverse__zero( X ), 
% 8.09/8.48    Y = c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, T, 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) = 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, Z, 
% 8.09/8.48    hAPP( c_Groups_Otimes__class_Otimes( X, T ), Y ) ), Y ) }.
% 8.09/8.48  (21335) {G0,W14,D5,L2,V1,M2}  { X = c_Groups_Ozero__class_Ozero( 
% 8.09/8.48    tc_RealDef_Oreal ), hAPP( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal
% 8.09/8.48    , c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal, X ) ), X ) = 
% 8.09/8.48    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 8.09/8.48  (21336) {G0,W21,D5,L3,V3,M3}  { ! class_Fields_Olinordered__field( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless( 
% 8.09/8.48    X, c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, Z
% 8.09/8.48    , Y ), c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ), 
% 8.09/8.48    c_Groups_Oone__class_Oone( X ) ) ), Y ) }.
% 8.09/8.48  (21337) {G0,W21,D5,L3,V3,M3}  { ! class_Fields_Olinordered__field( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless( 
% 8.09/8.48    X, Z, c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X
% 8.09/8.48    , Z, Y ), c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X )
% 8.09/8.48    , c_Groups_Oone__class_Oone( X ) ) ) ) }.
% 8.09/8.48  (21338) {G0,W11,D3,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.09/8.48    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), 
% 8.09/8.48    c_Groups_Osgn__class_Osgn( tc_RealDef_Oreal, X ) = 
% 8.09/8.48    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 8.09/8.48  (21339) {G0,W18,D5,L2,V3,M2}  { ! class_Rings_Olinordered__ring( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Z ), Z ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Y ), Y ) ), c_Groups_Ozero__class_Ozero
% 8.09/8.48    ( X ) ) }.
% 8.09/8.48  (21340) {G0,W26,D5,L4,V3,M4}  { ! class_Rings_Olinordered__ring__strict( X
% 8.09/8.48     ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 8.09/8.48    , c_Groups_Oplus__class_Oplus( X, hAPP( c_Groups_Otimes__class_Otimes( X
% 8.09/8.48    , Z ), Z ), hAPP( c_Groups_Otimes__class_Otimes( X, Y ), Y ) ) ), ! Z = 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X )
% 8.09/8.48     }.
% 8.09/8.48  (21341) {G0,W22,D5,L3,V3,M3}  { ! class_Rings_Olinordered__ring__strict( X
% 8.09/8.48     ), Z = c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless( 
% 8.09/8.48    X, c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, hAPP
% 8.09/8.48    ( c_Groups_Otimes__class_Otimes( X, Z ), Z ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Y ), Y ) ) ) }.
% 8.09/8.48  (21342) {G0,W22,D5,L3,V3,M3}  { ! class_Rings_Olinordered__ring__strict( X
% 8.09/8.48     ), Y = c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless( 
% 8.09/8.48    X, c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, hAPP
% 8.09/8.48    ( c_Groups_Otimes__class_Otimes( X, Z ), Z ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Y ), Y ) ) ) }.
% 8.09/8.48  (21343) {G0,W22,D5,L3,V3,M3}  { ! class_Rings_Olinordered__ring__strict( X
% 8.09/8.48     ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( 
% 8.09/8.48    X, hAPP( c_Groups_Otimes__class_Otimes( X, Z ), Z ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Y ), Y ) ), c_Groups_Ozero__class_Ozero
% 8.09/8.48    ( X ) ), Z = c_Groups_Ozero__class_Ozero( X ) }.
% 8.09/8.48  (21344) {G0,W22,D5,L3,V3,M3}  { ! class_Rings_Olinordered__ring__strict( X
% 8.09/8.48     ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( 
% 8.09/8.48    X, hAPP( c_Groups_Otimes__class_Otimes( X, Z ), Z ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Y ), Y ) ), c_Groups_Ozero__class_Ozero
% 8.09/8.48    ( X ) ), Y = c_Groups_Ozero__class_Ozero( X ) }.
% 8.09/8.48  (21345) {G0,W26,D5,L4,V3,M4}  { ! class_Rings_Olinordered__ring__strict( X
% 8.09/8.48     ), ! Z = c_Groups_Ozero__class_Ozero( X ), ! Y = 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless__eq( X, 
% 8.09/8.48    c_Groups_Oplus__class_Oplus( X, hAPP( c_Groups_Otimes__class_Otimes( X, Z
% 8.09/8.48     ), Z ), hAPP( c_Groups_Otimes__class_Otimes( X, Y ), Y ) ), 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ) ) }.
% 8.09/8.48  (21346) {G0,W18,D5,L2,V3,M2}  { ! class_Rings_Olinordered__ring( X ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), 
% 8.09/8.48    c_Groups_Oplus__class_Oplus( X, hAPP( c_Groups_Otimes__class_Otimes( X, Z
% 8.09/8.48     ), Z ), hAPP( c_Groups_Otimes__class_Otimes( X, Y ), Y ) ) ) }.
% 8.09/8.48  (21347) {G0,W38,D4,L4,V4,M4}  { ! c_Orderings_Oord__class_Oless( 
% 8.09/8.48    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 8.09/8.48     c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y ), T ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X ), Z ) ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, T ), 
% 8.09/8.48    c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal, X ) ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z ), 
% 8.09/8.48    c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal, Y ) ) ) }.
% 8.09/8.48  (21348) {G0,W38,D5,L4,V4,M4}  { ! c_Orderings_Oord__class_Oless( 
% 8.09/8.48    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 8.09/8.48     c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y ), T ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X ), Z ) ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, 
% 8.09/8.48    c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal, X ) ), T ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, 
% 8.09/8.48    c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal, Y ) ), Z ) ) }.
% 8.09/8.48  (21349) {G0,W21,D5,L3,V3,M3}  { ! class_Rings_Olinordered__ring__strict( X
% 8.09/8.48     ), ! c_Groups_Oplus__class_Oplus( X, hAPP( c_Groups_Otimes__class_Otimes
% 8.09/8.48    ( X, Z ), Z ), hAPP( c_Groups_Otimes__class_Otimes( X, Y ), Y ) ) = 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X )
% 8.09/8.48     }.
% 8.09/8.48  (21350) {G0,W21,D5,L3,V3,M3}  { ! class_Rings_Olinordered__ring__strict( X
% 8.09/8.48     ), ! c_Groups_Oplus__class_Oplus( X, hAPP( c_Groups_Otimes__class_Otimes
% 8.09/8.48    ( X, Z ), Z ), hAPP( c_Groups_Otimes__class_Otimes( X, Y ), Y ) ) = 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 8.09/8.48     }.
% 8.09/8.48  (21351) {G0,W25,D5,L4,V3,M4}  { ! class_Rings_Olinordered__ring__strict( X
% 8.09/8.48     ), ! Z = c_Groups_Ozero__class_Ozero( X ), ! Y = 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Z ), Z ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Y ), Y ) ) = 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ) }.
% 8.09/8.48  (21352) {G0,W15,D3,L3,V2,M3}  { ! class_Rings_Olinordered__idom( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y, Y )
% 8.09/8.48    , c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, Y
% 8.09/8.48    , c_Groups_Ozero__class_Ozero( X ) ) }.
% 8.09/8.48  (21353) {G0,W15,D3,L3,V2,M3}  { ! class_Rings_Olinordered__idom( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y, Y )
% 8.09/8.48    , c_Groups_Ozero__class_Ozero( X ) ) }.
% 8.09/8.48  (21354) {G0,W13,D3,L3,V2,M3}  { ! class_Groups_Olinordered__ab__group__add
% 8.09/8.48    ( X ), ! c_Groups_Oplus__class_Oplus( X, Y, Y ) = 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 8.09/8.48     }.
% 8.09/8.48  (21355) {G0,W13,D3,L3,V2,M3}  { ! class_Groups_Olinordered__ab__group__add
% 8.09/8.48    ( X ), ! Y = c_Groups_Ozero__class_Ozero( X ), 
% 8.09/8.48    c_Groups_Oplus__class_Oplus( X, Y, Y ) = c_Groups_Ozero__class_Ozero( X )
% 8.09/8.48     }.
% 8.09/8.48  (21356) {G0,W14,D3,L3,V5,M3}  { ! class_Fields_Olinordered__field( X ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), skol6
% 8.09/8.48    ( X, T, U ) ), c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 8.09/8.48  (21357) {G0,W16,D4,L3,V3,M3}  { ! class_Fields_Olinordered__field( X ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Oplus__class_Oplus( X, 
% 8.09/8.48    Y, skol6( X, Y, Z ) ) ), c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 8.09/8.48  (21358) {G0,W15,D5,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.09/8.48    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, hAPP( 
% 8.09/8.48    c_Transcendental_Oln, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, 
% 8.09/8.48    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ) ), X ) }.
% 8.09/8.48  (21359) {G0,W26,D5,L3,V2,M3}  { ! c_Orderings_Oord__class_Oless( 
% 8.09/8.48    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 8.09/8.48     c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), hAPP( 
% 8.09/8.48    c_Transcendental_Oln, hAPP( c_Groups_Otimes__class_Otimes( 
% 8.09/8.48    tc_RealDef_Oreal, X ), Y ) ) = c_Groups_Oplus__class_Oplus( 
% 8.09/8.48    tc_RealDef_Oreal, hAPP( c_Transcendental_Oln, X ), hAPP( 
% 8.09/8.48    c_Transcendental_Oln, Y ) ) }.
% 8.09/8.48  (21360) {G0,W22,D3,L4,V2,M4}  { ! c_Orderings_Oord__class_Oless( 
% 8.09/8.48    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 8.09/8.48     c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, hAPP( 
% 8.09/8.48    c_Transcendental_Oln, X ), hAPP( c_Transcendental_Oln, Y ) ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, Y ) }.
% 8.09/8.48  (21361) {G0,W22,D3,L4,V2,M4}  { ! c_Orderings_Oord__class_Oless( 
% 8.09/8.48    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 8.09/8.48     c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, Y ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, hAPP( 
% 8.09/8.48    c_Transcendental_Oln, X ), hAPP( c_Transcendental_Oln, Y ) ) }.
% 8.09/8.48  (21362) {G0,W20,D3,L4,V2,M4}  { ! c_Orderings_Oord__class_Oless( 
% 8.09/8.48    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 8.09/8.48     c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), ! hAPP( 
% 8.09/8.48    c_Transcendental_Oln, X ) = hAPP( c_Transcendental_Oln, Y ), X = Y }.
% 8.09/8.48  (21363) {G0,W20,D3,L4,V2,M4}  { ! c_Orderings_Oord__class_Oless( 
% 8.09/8.48    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 8.09/8.48     c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), ! X = Y, hAPP( 
% 8.09/8.48    c_Transcendental_Oln, X ) = hAPP( c_Transcendental_Oln, Y ) }.
% 8.09/8.48  (21364) {G0,W11,D3,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.09/8.48    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, hAPP( 
% 8.09/8.48    c_Transcendental_Oln, X ), X ) }.
% 8.09/8.48  (21365) {G0,W7,D4,L1,V0,M1}  { hAPP( c_Transcendental_Oln, 
% 8.09/8.48    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) = 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 8.09/8.48  (21366) {G0,W22,D3,L4,V2,M4}  { ! c_Orderings_Oord__class_Oless( 
% 8.09/8.48    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 8.09/8.48     c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, hAPP( 
% 8.09/8.48    c_Transcendental_Oln, X ), hAPP( c_Transcendental_Oln, Y ) ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, Y ) }.
% 8.09/8.48  (21367) {G0,W22,D3,L4,V2,M4}  { ! c_Orderings_Oord__class_Oless( 
% 8.09/8.48    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 8.09/8.48     c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, Y ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, hAPP( 
% 8.09/8.48    c_Transcendental_Oln, X ), hAPP( c_Transcendental_Oln, Y ) ) }.
% 8.09/8.48  (21368) {G0,W12,D3,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.09/8.48    tc_RealDef_Oreal, c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), hAPP( 
% 8.09/8.48    c_Transcendental_Oln, X ) ) }.
% 8.09/8.48  (21369) {G0,W17,D3,L3,V1,M3}  { ! c_Orderings_Oord__class_Oless( 
% 8.09/8.48    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), hAPP( 
% 8.09/8.48    c_Transcendental_Oln, X ) ), ! c_Orderings_Oord__class_Oless( 
% 8.09/8.48    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 8.09/8.48    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ) }.
% 8.09/8.48  (21370) {G0,W17,D3,L3,V1,M3}  { ! c_Orderings_Oord__class_Oless( 
% 8.09/8.48    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 8.09/8.48     c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, 
% 8.09/8.48    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, hAPP( 
% 8.09/8.48    c_Transcendental_Oln, X ), c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal
% 8.09/8.48     ) ) }.
% 8.09/8.48  (21371) {G0,W17,D3,L3,V1,M3}  { ! c_Orderings_Oord__class_Oless( 
% 8.09/8.48    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 8.09/8.48     c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, hAPP( 
% 8.09/8.48    c_Transcendental_Oln, X ), c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal
% 8.09/8.48     ) ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, 
% 8.09/8.48    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 8.09/8.48  (21372) {G0,W17,D3,L3,V1,M3}  { ! c_Orderings_Oord__class_Oless( 
% 8.09/8.48    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 8.09/8.48     c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, 
% 8.09/8.48    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, hAPP( 
% 8.09/8.48    c_Transcendental_Oln, X ), c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal
% 8.09/8.48     ) ) }.
% 8.09/8.48  (21373) {G0,W15,D3,L3,V1,M3}  { ! c_Orderings_Oord__class_Oless( 
% 8.09/8.48    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 8.09/8.48     hAPP( c_Transcendental_Oln, X ) = c_Groups_Ozero__class_Ozero( 
% 8.09/8.48    tc_RealDef_Oreal ), X = c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 8.09/8.48  (21374) {G0,W15,D3,L3,V1,M3}  { ! c_Orderings_Oord__class_Oless( 
% 8.09/8.48    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 8.09/8.48     X = c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), hAPP( 
% 8.09/8.48    c_Transcendental_Oln, X ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal
% 8.09/8.48     ) }.
% 8.09/8.48  (21375) {G0,W17,D3,L3,V1,M3}  { ! c_Orderings_Oord__class_Oless( 
% 8.09/8.48    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 8.09/8.48     c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), hAPP( 
% 8.09/8.48    c_Transcendental_Oln, X ) ), c_Orderings_Oord__class_Oless( 
% 8.09/8.48    tc_RealDef_Oreal, c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ) }.
% 8.09/8.48  (21376) {G0,W17,D3,L3,V1,M3}  { ! c_Orderings_Oord__class_Oless( 
% 8.09/8.48    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 8.09/8.48     c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 8.09/8.48    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), hAPP( 
% 8.09/8.48    c_Transcendental_Oln, X ) ) }.
% 8.09/8.48  (21377) {G0,W12,D3,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.09/8.48    tc_RealDef_Oreal, c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), hAPP( 
% 8.09/8.48    c_Transcendental_Oln, X ) ) }.
% 8.09/8.48  (21378) {G0,W17,D3,L3,V1,M3}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.09/8.48    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), hAPP( 
% 8.09/8.48    c_Transcendental_Oln, X ) ), ! c_Orderings_Oord__class_Oless( 
% 8.09/8.48    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 8.09/8.48    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ) }.
% 8.09/8.48  (21379) {G0,W17,D3,L3,V1,M3}  { ! c_Orderings_Oord__class_Oless( 
% 8.09/8.48    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 8.09/8.48     c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), hAPP( 
% 8.09/8.48    c_Transcendental_Oln, X ) ), c_Orderings_Oord__class_Oless__eq( 
% 8.09/8.48    tc_RealDef_Oreal, c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ) }.
% 8.09/8.48  (21380) {G0,W17,D3,L3,V1,M3}  { ! c_Orderings_Oord__class_Oless( 
% 8.09/8.48    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 8.09/8.48     c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 8.09/8.48    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), hAPP( 
% 8.09/8.48    c_Transcendental_Oln, X ) ) }.
% 8.09/8.48  (21381) {G0,W18,D4,L4,V4,M4}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 8.09/8.48    ( X ), ! c_Orderings_Oord__class_Oless__eq( X, 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of( 
% 8.09/8.48    X, Z ) ), Y ), alpha44( X, Y, Z, T ) }.
% 8.09/8.48  (21382) {G0,W18,D4,L4,V4,M4}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 8.09/8.48    ( X ), ! c_Orderings_Oord__class_Oless__eq( X, 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of( 
% 8.09/8.48    X, Z ) ), Y ), alpha60( X, Y, Z, T ) }.
% 8.09/8.48  (21383) {G0,W23,D4,L5,V4,M5}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 8.09/8.48    ( X ), ! alpha44( X, Y, Z, T ), ! alpha60( X, Y, Z, T ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 8.09/8.48    , T, c_Int_Onumber__class_Onumber__of( X, Z ) ), Y ) }.
% 8.09/8.48  (21384) {G0,W17,D3,L3,V4,M3}  { ! alpha60( X, Y, Z, T ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, Z ) ), alpha72( X, Y, Z, T ) }.
% 8.09/8.48  (21385) {G0,W12,D3,L2,V4,M2}  { ! c_Orderings_Oord__class_Oless( X, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Z
% 8.09/8.48     ) ), alpha60( X, Y, Z, T ) }.
% 8.09/8.48  (21386) {G0,W10,D2,L2,V4,M2}  { ! alpha72( X, Y, Z, T ), alpha60( X, Y, Z, 
% 8.09/8.48    T ) }.
% 8.09/8.48  (21387) {G0,W10,D2,L2,V4,M2}  { ! alpha72( X, Y, Z, T ), alpha84( X, Y, Z, 
% 8.09/8.48    T ) }.
% 8.09/8.48  (21388) {G0,W9,D2,L2,V4,M2}  { ! alpha72( X, Y, Z, T ), alpha16( X, Y, Z )
% 8.09/8.48     }.
% 8.09/8.48  (21389) {G0,W14,D2,L3,V4,M3}  { ! alpha84( X, Y, Z, T ), ! alpha16( X, Y, Z
% 8.09/8.48     ), alpha72( X, Y, Z, T ) }.
% 8.09/8.48  (21390) {G0,W22,D4,L3,V4,M3}  { ! alpha84( X, Y, Z, T ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Z
% 8.09/8.48     ), c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq
% 8.09/8.48    ( X, hAPP( c_Groups_Otimes__class_Otimes( X, Y ), 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, Z ) ), T ) }.
% 8.09/8.48  (21391) {G0,W12,D3,L2,V4,M2}  { c_Orderings_Oord__class_Oless( X, 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero( X
% 8.09/8.48     ) ), alpha84( X, Y, Z, T ) }.
% 8.09/8.48  (21392) {G0,W15,D4,L2,V4,M2}  { ! c_Orderings_Oord__class_Oless__eq( X, 
% 8.09/8.48    hAPP( c_Groups_Otimes__class_Otimes( X, Y ), 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, Z ) ), T ), alpha84( X, Y, Z, T )
% 8.09/8.48     }.
% 8.09/8.48  (21393) {G0,W22,D4,L3,V4,M3}  { ! alpha44( X, Y, Z, T ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, Z ) ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, T, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Y ), c_Int_Onumber__class_Onumber__of( 
% 8.09/8.48    X, Z ) ) ) }.
% 8.09/8.48  (21394) {G0,W12,D3,L2,V4,M2}  { c_Orderings_Oord__class_Oless( X, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Z
% 8.09/8.48     ) ), alpha44( X, Y, Z, T ) }.
% 8.09/8.48  (21395) {G0,W15,D4,L2,V4,M2}  { ! c_Orderings_Oord__class_Oless__eq( X, T, 
% 8.09/8.48    hAPP( c_Groups_Otimes__class_Otimes( X, Y ), 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, Z ) ) ), alpha44( X, Y, Z, T ) }.
% 8.09/8.48  (21396) {G0,W16,D3,L3,V3,M3}  { ! alpha16( X, Y, Z ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Z
% 8.09/8.48     ), c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq
% 8.09/8.48    ( X, c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 8.09/8.48  (21397) {G0,W11,D3,L2,V3,M2}  { ! c_Orderings_Oord__class_Oless( X, 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero( X
% 8.09/8.48     ) ), alpha16( X, Y, Z ) }.
% 8.09/8.48  (21398) {G0,W9,D3,L2,V3,M2}  { ! c_Orderings_Oord__class_Oless__eq( X, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), Y ), alpha16( X, Y, Z ) }.
% 8.09/8.48  (21399) {G0,W18,D3,L4,V4,M4}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 8.09/8.48    ( X ), ! c_Orderings_Oord__class_Oless__eq( X, 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( X, T, Z ), 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha45( X, Y, Z, T ) }.
% 8.09/8.48  (21400) {G0,W18,D3,L4,V4,M4}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 8.09/8.48    ( X ), ! c_Orderings_Oord__class_Oless__eq( X, 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( X, T, Z ), 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha61( X, Y, Z, T ) }.
% 8.09/8.48  (21401) {G0,W23,D3,L5,V4,M5}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 8.09/8.48    ( X ), ! alpha45( X, Y, Z, T ), ! alpha61( X, Y, Z, T ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 8.09/8.48    , T, Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 8.09/8.48  (21402) {G0,W15,D3,L3,V4,M3}  { ! alpha61( X, Y, Z, T ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ), 
% 8.09/8.48    alpha73( X, Y, Z, T ) }.
% 8.09/8.48  (21403) {G0,W10,D3,L2,V4,M2}  { ! c_Orderings_Oord__class_Oless( X, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), Z ), alpha61( X, Y, Z, T ) }.
% 8.09/8.48  (21404) {G0,W10,D2,L2,V4,M2}  { ! alpha73( X, Y, Z, T ), alpha61( X, Y, Z, 
% 8.09/8.48    T ) }.
% 8.09/8.48  (21405) {G0,W10,D2,L2,V4,M2}  { ! alpha73( X, Y, Z, T ), alpha85( X, Y, Z, 
% 8.09/8.48    T ) }.
% 8.09/8.48  (21406) {G0,W9,D2,L2,V4,M2}  { ! alpha73( X, Y, Z, T ), alpha17( X, Y, Z )
% 8.09/8.48     }.
% 8.09/8.48  (21407) {G0,W14,D2,L3,V4,M3}  { ! alpha85( X, Y, Z, T ), ! alpha17( X, Y, Z
% 8.09/8.48     ), alpha73( X, Y, Z, T ) }.
% 8.09/8.48  (21408) {G0,W20,D5,L3,V4,M3}  { ! alpha85( X, Y, Z, T ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, hAPP( c_Groups_Otimes__class_Otimes
% 8.09/8.48    ( X, c_Int_Onumber__class_Onumber__of( X, Y ) ), Z ), T ) }.
% 8.09/8.48  (21409) {G0,W10,D3,L2,V4,M2}  { c_Orderings_Oord__class_Oless( X, Z, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ) ), alpha85( X, Y, Z, T ) }.
% 8.09/8.48  (21410) {G0,W15,D5,L2,V4,M2}  { ! c_Orderings_Oord__class_Oless__eq( X, 
% 8.09/8.48    hAPP( c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of
% 8.09/8.48    ( X, Y ) ), Z ), T ), alpha85( X, Y, Z, T ) }.
% 8.09/8.48  (21411) {G0,W20,D5,L3,V4,M3}  { ! alpha45( X, Y, Z, T ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, T, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, Y
% 8.09/8.48     ) ), Z ) ) }.
% 8.09/8.48  (21412) {G0,W10,D3,L2,V4,M2}  { c_Orderings_Oord__class_Oless( X, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), Z ), alpha45( X, Y, Z, T ) }.
% 8.09/8.48  (21413) {G0,W15,D5,L2,V4,M2}  { ! c_Orderings_Oord__class_Oless__eq( X, T, 
% 8.09/8.48    hAPP( c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of
% 8.09/8.48    ( X, Y ) ), Z ) ), alpha45( X, Y, Z, T ) }.
% 8.09/8.48  (21414) {G0,W16,D3,L3,V3,M3}  { ! alpha17( X, Y, Z ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 8.09/8.48  (21415) {G0,W9,D3,L2,V3,M2}  { ! c_Orderings_Oord__class_Oless( X, Z, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ) ), alpha17( X, Y, Z ) }.
% 8.09/8.48  (21416) {G0,W11,D3,L2,V3,M2}  { ! c_Orderings_Oord__class_Oless__eq( X, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 8.09/8.48     ) ), alpha17( X, Y, Z ) }.
% 8.09/8.48  (21417) {G0,W18,D3,L4,V4,M4}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 8.09/8.48    ( X ), ! c_Orderings_Oord__class_Oless__eq( X, 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, T ), c_Rings_Oinverse__class_Odivide
% 8.09/8.48    ( X, Z, Y ) ), alpha46( X, Y, Z, T ) }.
% 8.09/8.48  (21418) {G0,W18,D3,L4,V4,M4}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 8.09/8.48    ( X ), ! c_Orderings_Oord__class_Oless__eq( X, 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, T ), c_Rings_Oinverse__class_Odivide
% 8.09/8.48    ( X, Z, Y ) ), alpha62( X, Y, Z, T ) }.
% 8.09/8.48  (21419) {G0,W23,D3,L5,V4,M5}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 8.09/8.48    ( X ), ! alpha46( X, Y, Z, T ), ! alpha62( X, Y, Z, T ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 8.09/8.48    , T ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 8.09/8.48  (21420) {G0,W15,D3,L3,V4,M3}  { ! alpha62( X, Y, Z, T ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ), 
% 8.09/8.48    alpha74( X, Y, Z, T ) }.
% 8.09/8.48  (21421) {G0,W10,D3,L2,V4,M2}  { ! c_Orderings_Oord__class_Oless( X, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), Y ), alpha62( X, Y, Z, T ) }.
% 8.09/8.48  (21422) {G0,W10,D2,L2,V4,M2}  { ! alpha74( X, Y, Z, T ), alpha62( X, Y, Z, 
% 8.09/8.48    T ) }.
% 8.09/8.48  (21423) {G0,W10,D2,L2,V4,M2}  { ! alpha74( X, Y, Z, T ), alpha86( X, Y, Z, 
% 8.09/8.48    T ) }.
% 8.09/8.48  (21424) {G0,W9,D2,L2,V4,M2}  { ! alpha74( X, Y, Z, T ), alpha18( X, Y, T )
% 8.09/8.48     }.
% 8.09/8.48  (21425) {G0,W14,D2,L3,V4,M3}  { ! alpha86( X, Y, Z, T ), ! alpha18( X, Y, T
% 8.09/8.48     ), alpha74( X, Y, Z, T ) }.
% 8.09/8.48  (21426) {G0,W20,D5,L3,V4,M3}  { ! alpha86( X, Y, Z, T ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, Z, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 8.09/8.48     ) ), Y ) ) }.
% 8.09/8.48  (21427) {G0,W10,D3,L2,V4,M2}  { c_Orderings_Oord__class_Oless( X, Y, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ) ), alpha86( X, Y, Z, T ) }.
% 8.09/8.48  (21428) {G0,W15,D5,L2,V4,M2}  { ! c_Orderings_Oord__class_Oless__eq( X, Z, 
% 8.09/8.48    hAPP( c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of
% 8.09/8.48    ( X, T ) ), Y ) ), alpha86( X, Y, Z, T ) }.
% 8.09/8.48  (21429) {G0,W20,D5,L3,V4,M3}  { ! alpha46( X, Y, Z, T ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, hAPP( c_Groups_Otimes__class_Otimes
% 8.09/8.48    ( X, c_Int_Onumber__class_Onumber__of( X, T ) ), Y ), Z ) }.
% 8.09/8.48  (21430) {G0,W10,D3,L2,V4,M2}  { c_Orderings_Oord__class_Oless( X, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), Y ), alpha46( X, Y, Z, T ) }.
% 8.09/8.48  (21431) {G0,W15,D5,L2,V4,M2}  { ! c_Orderings_Oord__class_Oless__eq( X, 
% 8.09/8.48    hAPP( c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of
% 8.09/8.48    ( X, T ) ), Y ), Z ), alpha46( X, Y, Z, T ) }.
% 8.09/8.48  (21432) {G0,W16,D3,L3,V3,M3}  { ! alpha18( X, Y, Z ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 8.09/8.48    , Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 8.09/8.48  (21433) {G0,W9,D3,L2,V3,M2}  { ! c_Orderings_Oord__class_Oless( X, Y, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ) ), alpha18( X, Y, Z ) }.
% 8.09/8.48  (21434) {G0,W11,D3,L2,V3,M2}  { ! c_Orderings_Oord__class_Oless__eq( X, 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero( X
% 8.09/8.48     ) ), alpha18( X, Y, Z ) }.
% 8.09/8.48  (21435) {G0,W18,D4,L4,V4,M4}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 8.09/8.48    ( X ), ! c_Orderings_Oord__class_Oless__eq( X, T, 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of( 
% 8.09/8.48    X, Y ) ) ), alpha47( X, Y, Z, T ) }.
% 8.09/8.48  (21436) {G0,W18,D4,L4,V4,M4}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 8.09/8.48    ( X ), ! c_Orderings_Oord__class_Oless__eq( X, T, 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of( 
% 8.09/8.48    X, Y ) ) ), alpha63( X, Y, Z, T ) }.
% 8.09/8.48  (21437) {G0,W23,D4,L5,V4,M5}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 8.09/8.48    ( X ), ! alpha47( X, Y, Z, T ), ! alpha63( X, Y, Z, T ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, T, c_Rings_Oinverse__class_Odivide
% 8.09/8.48    ( X, Z, c_Int_Onumber__class_Onumber__of( X, Y ) ) ) }.
% 8.09/8.48  (21438) {G0,W17,D3,L3,V4,M3}  { ! alpha63( X, Y, Z, T ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha75( X, Y, Z, T ) }.
% 8.09/8.48  (21439) {G0,W12,D3,L2,V4,M2}  { ! c_Orderings_Oord__class_Oless( X, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 8.09/8.48     ) ), alpha63( X, Y, Z, T ) }.
% 8.09/8.48  (21440) {G0,W10,D2,L2,V4,M2}  { ! alpha75( X, Y, Z, T ), alpha63( X, Y, Z, 
% 8.09/8.48    T ) }.
% 8.09/8.48  (21441) {G0,W10,D2,L2,V4,M2}  { ! alpha75( X, Y, Z, T ), alpha87( X, Y, Z, 
% 8.09/8.48    T ) }.
% 8.09/8.48  (21442) {G0,W9,D2,L2,V4,M2}  { ! alpha75( X, Y, Z, T ), alpha19( X, Y, T )
% 8.09/8.48     }.
% 8.09/8.48  (21443) {G0,W14,D2,L3,V4,M3}  { ! alpha87( X, Y, Z, T ), ! alpha19( X, Y, T
% 8.09/8.48     ), alpha75( X, Y, Z, T ) }.
% 8.09/8.48  (21444) {G0,W22,D4,L3,V4,M3}  { ! alpha87( X, Y, Z, T ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 8.09/8.48     ), c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq
% 8.09/8.48    ( X, Z, hAPP( c_Groups_Otimes__class_Otimes( X, T ), 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, Y ) ) ) }.
% 8.09/8.48  (21445) {G0,W12,D3,L2,V4,M2}  { c_Orderings_Oord__class_Oless( X, 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Ozero__class_Ozero( X
% 8.09/8.48     ) ), alpha87( X, Y, Z, T ) }.
% 8.09/8.48  (21446) {G0,W15,D4,L2,V4,M2}  { ! c_Orderings_Oord__class_Oless__eq( X, Z, 
% 8.09/8.48    hAPP( c_Groups_Otimes__class_Otimes( X, T ), 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, Y ) ) ), alpha87( X, Y, Z, T ) }.
% 8.09/8.48  (21447) {G0,W22,D4,L3,V4,M3}  { ! alpha47( X, Y, Z, T ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, Y ) ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, hAPP( c_Groups_Otimes__class_Otimes
% 8.09/8.48    ( X, T ), c_Int_Onumber__class_Onumber__of( X, Y ) ), Z ) }.
% 8.09/8.48  (21448) {G0,W12,D3,L2,V4,M2}  { c_Orderings_Oord__class_Oless( X, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 8.09/8.48     ) ), alpha47( X, Y, Z, T ) }.
% 8.09/8.48  (21449) {G0,W15,D4,L2,V4,M2}  { ! c_Orderings_Oord__class_Oless__eq( X, 
% 8.09/8.48    hAPP( c_Groups_Otimes__class_Otimes( X, T ), 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, Y ) ), Z ), alpha47( X, Y, Z, T )
% 8.09/8.48     }.
% 8.09/8.48  (21450) {G0,W16,D3,L3,V3,M3}  { ! alpha19( X, Y, Z ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 8.09/8.48     ), c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq
% 8.09/8.48    ( X, Z, c_Groups_Ozero__class_Ozero( X ) ) }.
% 8.09/8.48  (21451) {G0,W11,D3,L2,V3,M2}  { ! c_Orderings_Oord__class_Oless( X, 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Ozero__class_Ozero( X
% 8.09/8.48     ) ), alpha19( X, Y, Z ) }.
% 8.09/8.48  (21452) {G0,W9,D3,L2,V3,M2}  { ! c_Orderings_Oord__class_Oless__eq( X, Z, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ) ), alpha19( X, Y, Z ) }.
% 8.09/8.48  (21453) {G0,W14,D4,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.09/8.48    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), 
% 8.09/8.48    c_Deriv_Oderiv( tc_RealDef_Oreal, c_Transcendental_Oln, X, 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, 
% 8.09/8.48    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ) ) }.
% 8.09/8.48  (21454) {G0,W23,D5,L2,V4,M2}  { ! class_Int_Onumber__ring( X ), 
% 8.09/8.48    c_Groups_Oplus__class_Oplus( X, c_Int_Onumber__class_Onumber__of( X, T )
% 8.09/8.48    , c_Groups_Oplus__class_Oplus( X, c_Int_Onumber__class_Onumber__of( X, Z
% 8.09/8.48     ), Y ) ) = c_Groups_Oplus__class_Oplus( X, 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus( 
% 8.09/8.48    tc_Int_Oint, T, Z ) ), Y ) }.
% 8.09/8.48  (21455) {G0,W17,D4,L2,V3,M2}  { ! class_Int_Onumber__ring( X ), 
% 8.09/8.48    c_Groups_Oplus__class_Oplus( X, c_Int_Onumber__class_Onumber__of( X, Z )
% 8.09/8.48    , c_Int_Onumber__class_Onumber__of( X, Y ) ) = 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus( 
% 8.09/8.48    tc_Int_Oint, Z, Y ) ) }.
% 8.09/8.48  (21456) {G0,W17,D4,L2,V3,M2}  { ! class_Int_Onumber__ring( X ), 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus( 
% 8.09/8.48    tc_Int_Oint, Z, Y ) ) = c_Groups_Oplus__class_Oplus( X, 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, Z ), 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 8.09/8.48  (21457) {G0,W16,D3,L4,V3,M4}  { ! class_Int_Onumber__ring( X ), ! 
% 8.09/8.48    class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X, 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, Z ), 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, Y ) ), c_Orderings_Oord__class_Oless
% 8.09/8.48    ( tc_Int_Oint, Z, Y ) }.
% 8.09/8.48  (21458) {G0,W16,D3,L4,V3,M4}  { ! class_Int_Onumber__ring( X ), ! 
% 8.09/8.48    class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( 
% 8.09/8.48    tc_Int_Oint, Z, Y ), c_Orderings_Oord__class_Oless( X, 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, Z ), 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 8.09/8.48  (21459) {G0,W14,D3,L4,V3,M4}  { ! class_Int_Onumber__ring( X ), ! 
% 8.09/8.48    class_Int_Oring__char__0( X ), ! c_Int_Onumber__class_Onumber__of( X, Z )
% 8.09/8.48     = c_Int_Onumber__class_Onumber__of( X, Y ), Z = Y }.
% 8.09/8.48  (21460) {G0,W14,D3,L4,V3,M4}  { ! class_Int_Onumber__ring( X ), ! 
% 8.09/8.48    class_Int_Oring__char__0( X ), ! Z = Y, c_Int_Onumber__class_Onumber__of
% 8.09/8.48    ( X, Z ) = c_Int_Onumber__class_Onumber__of( X, Y ) }.
% 8.09/8.48  (21461) {G0,W12,D3,L3,V3,M3}  { ! class_Int_Onumber( X ), ! 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, Z ) = Y, Y = 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, Z ) }.
% 8.09/8.48  (21462) {G0,W12,D3,L3,V3,M3}  { ! class_Int_Onumber( X ), ! Y = 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, Z ), 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, Z ) = Y }.
% 8.09/8.48  (21463) {G0,W27,D7,L2,V4,M2}  { ! class_Int_Onumber__ring( X ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 8.09/8.48     ) ), hAPP( c_Groups_Otimes__class_Otimes( X, 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, Z ) ), Y ) ) = hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, 
% 8.09/8.48    hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint, T ), Z ) ) ), Y ) }.
% 8.09/8.48  (21464) {G0,W19,D5,L2,V3,M2}  { ! class_Int_Onumber__ring( X ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, Z
% 8.09/8.48     ) ), c_Int_Onumber__class_Onumber__of( X, Y ) ) = 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, hAPP( c_Groups_Otimes__class_Otimes
% 8.09/8.48    ( tc_Int_Oint, Z ), Y ) ) }.
% 8.09/8.48  (21465) {G0,W19,D5,L2,V3,M2}  { ! class_Int_Onumber__ring( X ), 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, hAPP( c_Groups_Otimes__class_Otimes
% 8.09/8.48    ( tc_Int_Oint, Z ), Y ) ) = hAPP( c_Groups_Otimes__class_Otimes( X, 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, Z ) ), 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 8.09/8.48  (21466) {G0,W16,D3,L4,V3,M4}  { ! class_Int_Onumber__ring( X ), ! 
% 8.09/8.48    class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq( 
% 8.09/8.48    X, c_Int_Onumber__class_Onumber__of( X, Z ), 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, Y ) ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Z, Y ) }.
% 8.09/8.48  (21467) {G0,W16,D3,L4,V3,M4}  { ! class_Int_Onumber__ring( X ), ! 
% 8.09/8.48    class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq( 
% 8.09/8.48    tc_Int_Oint, Z, Y ), c_Orderings_Oord__class_Oless__eq( X, 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, Z ), 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 8.09/8.48  (21468) {G0,W20,D3,L4,V3,M4}  { ! class_Int_Onumber( X ), ! 
% 8.09/8.48    class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, Z ), 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, Y ) ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 8.09/8.48     ), c_Int_Onumber__class_Onumber__of( X, Z ) ) }.
% 8.09/8.48  (21469) {G0,W20,D3,L4,V3,M4}  { ! class_Int_Onumber( X ), ! 
% 8.09/8.48    class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, Y ), 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, Z ) ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 8.09/8.48    , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 8.09/8.48  (21470) {G0,W31,D5,L3,V4,M3}  { ! class_Int_Onumber( X ), ! 
% 8.09/8.48    class_Rings_Osemiring( X ), hAPP( c_Groups_Otimes__class_Otimes( X, 
% 8.09/8.48    c_Groups_Oplus__class_Oplus( X, T, Z ) ), 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, Y ) ) = c_Groups_Oplus__class_Oplus
% 8.09/8.48    ( X, hAPP( c_Groups_Otimes__class_Otimes( X, T ), 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, Y ) ), hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Z ), c_Int_Onumber__class_Onumber__of( 
% 8.09/8.48    X, Y ) ) ) }.
% 8.09/8.48  (21471) {G0,W31,D6,L3,V4,M3}  { ! class_Int_Onumber( X ), ! 
% 8.09/8.48    class_Rings_Osemiring( X ), hAPP( c_Groups_Otimes__class_Otimes( X, 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, T ) ), c_Groups_Oplus__class_Oplus( 
% 8.09/8.48    X, Z, Y ) ) = c_Groups_Oplus__class_Oplus( X, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 8.09/8.48     ) ), Z ), hAPP( c_Groups_Otimes__class_Otimes( X, 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, T ) ), Y ) ) }.
% 8.09/8.48  (21472) {G0,W17,D4,L4,V4,M4}  { ! class_Fields_Ofield__inverse__zero( X ), 
% 8.09/8.48    ! class_Int_Onumber( X ), ! T = c_Rings_Oinverse__class_Odivide( X, Z, 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha48( X, Y, Z, T ) }.
% 8.09/8.48  (21473) {G0,W16,D4,L4,V4,M4}  { ! class_Fields_Ofield__inverse__zero( X ), 
% 8.09/8.48    ! class_Int_Onumber( X ), ! T = c_Rings_Oinverse__class_Odivide( X, Z, 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha20( X, Y, T ) }.
% 8.09/8.48  (21474) {G0,W21,D4,L5,V4,M5}  { ! class_Fields_Ofield__inverse__zero( X ), 
% 8.09/8.48    ! class_Int_Onumber( X ), ! alpha48( X, Y, Z, T ), ! alpha20( X, Y, T ), 
% 8.09/8.48    T = c_Rings_Oinverse__class_Odivide( X, Z, 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 8.09/8.48  (21475) {G0,W20,D4,L3,V4,M3}  { ! alpha48( X, Y, Z, T ), 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, Y ) = c_Groups_Ozero__class_Ozero( X
% 8.09/8.48     ), hAPP( c_Groups_Otimes__class_Otimes( X, T ), 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, Y ) ) = Z }.
% 8.09/8.48  (21476) {G0,W11,D3,L2,V4,M2}  { ! c_Int_Onumber__class_Onumber__of( X, Y ) 
% 8.09/8.48    = c_Groups_Ozero__class_Ozero( X ), alpha48( X, Y, Z, T ) }.
% 8.09/8.48  (21477) {G0,W14,D4,L2,V4,M2}  { ! hAPP( c_Groups_Otimes__class_Otimes( X, T
% 8.09/8.48     ), c_Int_Onumber__class_Onumber__of( X, Y ) ) = Z, alpha48( X, Y, Z, T )
% 8.09/8.48     }.
% 8.09/8.48  (21478) {G0,W14,D3,L3,V3,M3}  { ! alpha20( X, Y, Z ), ! 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, Y ) = c_Groups_Ozero__class_Ozero( X
% 8.09/8.48     ), Z = c_Groups_Ozero__class_Ozero( X ) }.
% 8.09/8.48  (21479) {G0,W10,D3,L2,V3,M2}  { c_Int_Onumber__class_Onumber__of( X, Y ) = 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), alpha20( X, Y, Z ) }.
% 8.09/8.48  (21480) {G0,W8,D3,L2,V3,M2}  { ! Z = c_Groups_Ozero__class_Ozero( X ), 
% 8.09/8.48    alpha20( X, Y, Z ) }.
% 8.09/8.48  (21481) {G0,W17,D3,L4,V4,M4}  { ! class_Fields_Ofield__inverse__zero( X ), 
% 8.09/8.48    ! class_Int_Onumber( X ), ! c_Int_Onumber__class_Onumber__of( X, T ) = 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( X, Z, Y ), alpha49( X, Y, Z, T ) }.
% 8.09/8.48  (21482) {G0,W16,D3,L4,V4,M4}  { ! class_Fields_Ofield__inverse__zero( X ), 
% 8.09/8.48    ! class_Int_Onumber( X ), ! c_Int_Onumber__class_Onumber__of( X, T ) = 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( X, Z, Y ), alpha21( X, Y, T ) }.
% 8.09/8.48  (21483) {G0,W21,D3,L5,V4,M5}  { ! class_Fields_Ofield__inverse__zero( X ), 
% 8.09/8.48    ! class_Int_Onumber( X ), ! alpha49( X, Y, Z, T ), ! alpha21( X, Y, T ), 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, T ) = 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 8.09/8.48  (21484) {G0,W18,D5,L3,V4,M3}  { ! alpha49( X, Y, Z, T ), Y = 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), hAPP( c_Groups_Otimes__class_Otimes( X
% 8.09/8.48    , c_Int_Onumber__class_Onumber__of( X, T ) ), Y ) = Z }.
% 8.09/8.48  (21485) {G0,W9,D3,L2,V4,M2}  { ! Y = c_Groups_Ozero__class_Ozero( X ), 
% 8.09/8.48    alpha49( X, Y, Z, T ) }.
% 8.09/8.48  (21486) {G0,W14,D5,L2,V4,M2}  { ! hAPP( c_Groups_Otimes__class_Otimes( X, 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, T ) ), Y ) = Z, alpha49( X, Y, Z, T
% 8.09/8.48     ) }.
% 8.09/8.48  (21487) {G0,W14,D3,L3,V3,M3}  { ! alpha21( X, Y, Z ), ! Y = 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Z
% 8.09/8.48     ) = c_Groups_Ozero__class_Ozero( X ) }.
% 8.09/8.48  (21488) {G0,W8,D3,L2,V3,M2}  { Y = c_Groups_Ozero__class_Ozero( X ), 
% 8.09/8.48    alpha21( X, Y, Z ) }.
% 8.09/8.48  (21489) {G0,W10,D3,L2,V3,M2}  { ! c_Int_Onumber__class_Onumber__of( X, Z ) 
% 8.09/8.48    = c_Groups_Ozero__class_Ozero( X ), alpha21( X, Y, Z ) }.
% 8.09/8.48  (21490) {G0,W17,D3,L4,V4,M4}  { ! class_Fields_Ofield__inverse__zero( X ), 
% 8.09/8.48    ! class_Int_Onumber( X ), ! c_Rings_Oinverse__class_Odivide( X, T, Z ) = 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, Y ), alpha50( X, Y, Z, T ) }.
% 8.09/8.48  (21491) {G0,W16,D3,L4,V4,M4}  { ! class_Fields_Ofield__inverse__zero( X ), 
% 8.09/8.48    ! class_Int_Onumber( X ), ! c_Rings_Oinverse__class_Odivide( X, T, Z ) = 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, Y ), alpha22( X, Y, Z ) }.
% 8.09/8.48  (21492) {G0,W21,D3,L5,V4,M5}  { ! class_Fields_Ofield__inverse__zero( X ), 
% 8.09/8.48    ! class_Int_Onumber( X ), ! alpha50( X, Y, Z, T ), ! alpha22( X, Y, Z ), 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( X, T, Z ) = 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, Y ) }.
% 8.09/8.48  (21493) {G0,W18,D5,L3,V4,M3}  { ! alpha50( X, Y, Z, T ), Z = 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), T = hAPP( c_Groups_Otimes__class_Otimes
% 8.09/8.48    ( X, c_Int_Onumber__class_Onumber__of( X, Y ) ), Z ) }.
% 8.09/8.48  (21494) {G0,W9,D3,L2,V4,M2}  { ! Z = c_Groups_Ozero__class_Ozero( X ), 
% 8.09/8.48    alpha50( X, Y, Z, T ) }.
% 8.09/8.48  (21495) {G0,W14,D5,L2,V4,M2}  { ! T = hAPP( c_Groups_Otimes__class_Otimes( 
% 8.09/8.48    X, c_Int_Onumber__class_Onumber__of( X, Y ) ), Z ), alpha50( X, Y, Z, T )
% 8.09/8.48     }.
% 8.09/8.48  (21496) {G0,W14,D3,L3,V3,M3}  { ! alpha22( X, Y, Z ), ! Z = 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 8.09/8.48     ) = c_Groups_Ozero__class_Ozero( X ) }.
% 8.09/8.48  (21497) {G0,W8,D3,L2,V3,M2}  { Z = c_Groups_Ozero__class_Ozero( X ), 
% 8.09/8.48    alpha22( X, Y, Z ) }.
% 8.09/8.48  (21498) {G0,W10,D3,L2,V3,M2}  { ! c_Int_Onumber__class_Onumber__of( X, Y ) 
% 8.09/8.48    = c_Groups_Ozero__class_Ozero( X ), alpha22( X, Y, Z ) }.
% 8.09/8.48  (21499) {G0,W17,D4,L4,V4,M4}  { ! class_Fields_Ofield__inverse__zero( X ), 
% 8.09/8.48    ! class_Int_Onumber( X ), ! c_Rings_Oinverse__class_Odivide( X, T, 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, Z ) ) = Y, alpha51( X, Y, Z, T ) }.
% 8.09/8.48  (21500) {G0,W16,D4,L4,V4,M4}  { ! class_Fields_Ofield__inverse__zero( X ), 
% 8.09/8.48    ! class_Int_Onumber( X ), ! c_Rings_Oinverse__class_Odivide( X, T, 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, Z ) ) = Y, alpha23( X, Y, Z ) }.
% 8.09/8.48  (21501) {G0,W21,D4,L5,V4,M5}  { ! class_Fields_Ofield__inverse__zero( X ), 
% 8.09/8.48    ! class_Int_Onumber( X ), ! alpha51( X, Y, Z, T ), ! alpha23( X, Y, Z ), 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of( 
% 8.09/8.48    X, Z ) ) = Y }.
% 8.09/8.48  (21502) {G0,W20,D4,L3,V4,M3}  { ! alpha51( X, Y, Z, T ), 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, Z ) = c_Groups_Ozero__class_Ozero( X
% 8.09/8.48     ), T = hAPP( c_Groups_Otimes__class_Otimes( X, Y ), 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, Z ) ) }.
% 8.09/8.48  (21503) {G0,W11,D3,L2,V4,M2}  { ! c_Int_Onumber__class_Onumber__of( X, Z ) 
% 8.09/8.48    = c_Groups_Ozero__class_Ozero( X ), alpha51( X, Y, Z, T ) }.
% 8.09/8.48  (21504) {G0,W14,D4,L2,V4,M2}  { ! T = hAPP( c_Groups_Otimes__class_Otimes( 
% 8.09/8.48    X, Y ), c_Int_Onumber__class_Onumber__of( X, Z ) ), alpha51( X, Y, Z, T )
% 8.09/8.48     }.
% 8.09/8.48  (21505) {G0,W14,D3,L3,V3,M3}  { ! alpha23( X, Y, Z ), ! 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, Z ) = c_Groups_Ozero__class_Ozero( X
% 8.09/8.48     ), Y = c_Groups_Ozero__class_Ozero( X ) }.
% 8.09/8.48  (21506) {G0,W10,D3,L2,V3,M2}  { c_Int_Onumber__class_Onumber__of( X, Z ) = 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), alpha23( X, Y, Z ) }.
% 8.09/8.48  (21507) {G0,W8,D3,L2,V3,M2}  { ! Y = c_Groups_Ozero__class_Ozero( X ), 
% 8.09/8.48    alpha23( X, Y, Z ) }.
% 8.09/8.48  (21508) {G0,W17,D4,L3,V2,M3}  { ! class_Int_Onumber( X ), ! 
% 8.09/8.48    class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Oinverse( X, 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, Y ) ) = 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( X, c_Groups_Oone__class_Oone( X ), 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 8.09/8.48  (21509) {G0,W18,D4,L4,V4,M4}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 8.09/8.48    ( X ), ! c_Orderings_Oord__class_Oless( X, 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of( 
% 8.09/8.48    X, Z ) ), Y ), alpha52( X, Y, Z, T ) }.
% 8.09/8.48  (21510) {G0,W18,D4,L4,V4,M4}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 8.09/8.48    ( X ), ! c_Orderings_Oord__class_Oless( X, 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of( 
% 8.09/8.48    X, Z ) ), Y ), alpha64( X, Y, Z, T ) }.
% 8.09/8.48  (21511) {G0,W23,D4,L5,V4,M5}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 8.09/8.48    ( X ), ! alpha52( X, Y, Z, T ), ! alpha64( X, Y, Z, T ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T, 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, Z ) ), Y ) }.
% 8.09/8.48  (21512) {G0,W17,D3,L3,V4,M3}  { ! alpha64( X, Y, Z, T ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, Z ) ), alpha76( X, Y, Z, T ) }.
% 8.09/8.48  (21513) {G0,W12,D3,L2,V4,M2}  { ! c_Orderings_Oord__class_Oless( X, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Z
% 8.09/8.48     ) ), alpha64( X, Y, Z, T ) }.
% 8.09/8.48  (21514) {G0,W10,D2,L2,V4,M2}  { ! alpha76( X, Y, Z, T ), alpha64( X, Y, Z, 
% 8.09/8.48    T ) }.
% 8.09/8.48  (21515) {G0,W10,D2,L2,V4,M2}  { ! alpha76( X, Y, Z, T ), alpha88( X, Y, Z, 
% 8.09/8.48    T ) }.
% 8.09/8.48  (21516) {G0,W9,D2,L2,V4,M2}  { ! alpha76( X, Y, Z, T ), alpha24( X, Y, Z )
% 8.09/8.48     }.
% 8.09/8.48  (21517) {G0,W14,D2,L3,V4,M3}  { ! alpha88( X, Y, Z, T ), ! alpha24( X, Y, Z
% 8.09/8.48     ), alpha76( X, Y, Z, T ) }.
% 8.09/8.48  (21518) {G0,W22,D4,L3,V4,M3}  { ! alpha88( X, Y, Z, T ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Z
% 8.09/8.48     ), c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 8.09/8.48    , hAPP( c_Groups_Otimes__class_Otimes( X, Y ), 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, Z ) ), T ) }.
% 8.09/8.48  (21519) {G0,W12,D3,L2,V4,M2}  { c_Orderings_Oord__class_Oless( X, 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero( X
% 8.09/8.48     ) ), alpha88( X, Y, Z, T ) }.
% 8.09/8.48  (21520) {G0,W15,D4,L2,V4,M2}  { ! c_Orderings_Oord__class_Oless( X, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, Y ), c_Int_Onumber__class_Onumber__of( 
% 8.09/8.48    X, Z ) ), T ), alpha88( X, Y, Z, T ) }.
% 8.09/8.48  (21521) {G0,W22,D4,L3,V4,M3}  { ! alpha52( X, Y, Z, T ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, Z ) ), c_Orderings_Oord__class_Oless
% 8.09/8.48    ( X, T, hAPP( c_Groups_Otimes__class_Otimes( X, Y ), 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, Z ) ) ) }.
% 8.09/8.48  (21522) {G0,W12,D3,L2,V4,M2}  { c_Orderings_Oord__class_Oless( X, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Z
% 8.09/8.48     ) ), alpha52( X, Y, Z, T ) }.
% 8.09/8.48  (21523) {G0,W15,D4,L2,V4,M2}  { ! c_Orderings_Oord__class_Oless( X, T, hAPP
% 8.09/8.48    ( c_Groups_Otimes__class_Otimes( X, Y ), c_Int_Onumber__class_Onumber__of
% 8.09/8.48    ( X, Z ) ) ), alpha52( X, Y, Z, T ) }.
% 8.09/8.48  (21524) {G0,W16,D3,L3,V3,M3}  { ! alpha24( X, Y, Z ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Z
% 8.09/8.48     ), c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 8.09/8.48    , c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 8.09/8.48  (21525) {G0,W11,D3,L2,V3,M2}  { ! c_Orderings_Oord__class_Oless( X, 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero( X
% 8.09/8.48     ) ), alpha24( X, Y, Z ) }.
% 8.09/8.48  (21526) {G0,W9,D3,L2,V3,M2}  { ! c_Orderings_Oord__class_Oless( X, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), Y ), alpha24( X, Y, Z ) }.
% 8.09/8.48  (21527) {G0,W18,D3,L4,V4,M4}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 8.09/8.48    ( X ), ! c_Orderings_Oord__class_Oless( X, 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( X, T, Z ), 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha53( X, Y, Z, T ) }.
% 8.09/8.48  (21528) {G0,W18,D3,L4,V4,M4}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 8.09/8.48    ( X ), ! c_Orderings_Oord__class_Oless( X, 
% 8.09/8.48    c_Rings_Oinverse__class_Odivide( X, T, Z ), 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha65( X, Y, Z, T ) }.
% 8.09/8.48  (21529) {G0,W23,D3,L5,V4,M5}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 8.09/8.48    ( X ), ! alpha53( X, Y, Z, T ), ! alpha65( X, Y, Z, T ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T, 
% 8.09/8.48    Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 8.09/8.48  (21530) {G0,W15,D3,L3,V4,M3}  { ! alpha65( X, Y, Z, T ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ), 
% 8.09/8.48    alpha77( X, Y, Z, T ) }.
% 8.09/8.48  (21531) {G0,W10,D3,L2,V4,M2}  { ! c_Orderings_Oord__class_Oless( X, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), Z ), alpha65( X, Y, Z, T ) }.
% 8.09/8.48  (21532) {G0,W10,D2,L2,V4,M2}  { ! alpha77( X, Y, Z, T ), alpha65( X, Y, Z, 
% 8.09/8.48    T ) }.
% 8.09/8.48  (21533) {G0,W10,D2,L2,V4,M2}  { ! alpha77( X, Y, Z, T ), alpha89( X, Y, Z, 
% 8.09/8.48    T ) }.
% 8.09/8.48  (21534) {G0,W9,D2,L2,V4,M2}  { ! alpha77( X, Y, Z, T ), alpha25( X, Y, Z )
% 8.09/8.48     }.
% 8.09/8.48  (21535) {G0,W14,D2,L3,V4,M3}  { ! alpha89( X, Y, Z, T ), ! alpha25( X, Y, Z
% 8.09/8.48     ), alpha77( X, Y, Z, T ) }.
% 8.09/8.48  (21536) {G0,W20,D5,L3,V4,M3}  { ! alpha89( X, Y, Z, T ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, hAPP( c_Groups_Otimes__class_Otimes( X
% 8.09/8.48    , c_Int_Onumber__class_Onumber__of( X, Y ) ), Z ), T ) }.
% 8.09/8.48  (21537) {G0,W10,D3,L2,V4,M2}  { c_Orderings_Oord__class_Oless( X, Z, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ) ), alpha89( X, Y, Z, T ) }.
% 8.09/8.48  (21538) {G0,W15,D5,L2,V4,M2}  { ! c_Orderings_Oord__class_Oless( X, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, Y
% 8.09/8.48     ) ), Z ), T ), alpha89( X, Y, Z, T ) }.
% 8.09/8.48  (21539) {G0,W20,D5,L3,V4,M3}  { ! alpha53( X, Y, Z, T ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, T, hAPP( c_Groups_Otimes__class_Otimes
% 8.09/8.48    ( X, c_Int_Onumber__class_Onumber__of( X, Y ) ), Z ) ) }.
% 8.09/8.48  (21540) {G0,W10,D3,L2,V4,M2}  { c_Orderings_Oord__class_Oless( X, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), Z ), alpha53( X, Y, Z, T ) }.
% 8.09/8.48  (21541) {G0,W15,D5,L2,V4,M2}  { ! c_Orderings_Oord__class_Oless( X, T, hAPP
% 8.09/8.48    ( c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, 
% 8.09/8.48    Y ) ), Z ) ), alpha53( X, Y, Z, T ) }.
% 8.09/8.48  (21542) {G0,W16,D3,L3,V3,M3}  { ! alpha25( X, Y, Z ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 8.09/8.48  (21543) {G0,W9,D3,L2,V3,M2}  { ! c_Orderings_Oord__class_Oless( X, Z, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ) ), alpha25( X, Y, Z ) }.
% 8.09/8.48  (21544) {G0,W11,D3,L2,V3,M2}  { ! c_Orderings_Oord__class_Oless( X, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 8.09/8.48     ) ), alpha25( X, Y, Z ) }.
% 8.09/8.48  (21545) {G0,W18,D3,L4,V4,M4}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 8.09/8.48    ( X ), ! c_Orderings_Oord__class_Oless( X, 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, T ), c_Rings_Oinverse__class_Odivide
% 8.09/8.48    ( X, Z, Y ) ), alpha54( X, Y, Z, T ) }.
% 8.09/8.48  (21546) {G0,W18,D3,L4,V4,M4}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 8.09/8.48    ( X ), ! c_Orderings_Oord__class_Oless( X, 
% 8.09/8.48    c_Int_Onumber__class_Onumber__of( X, T ), c_Rings_Oinverse__class_Odivide
% 8.09/8.48    ( X, Z, Y ) ), alpha66( X, Y, Z, T ) }.
% 8.09/8.48  (21547) {G0,W23,D3,L5,V4,M5}  { ! 
% 8.09/8.48    class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 8.09/8.48    ( X ), ! alpha54( X, Y, Z, T ), ! alpha66( X, Y, Z, T ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, T
% 8.09/8.48     ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 8.09/8.48  (21548) {G0,W15,D3,L3,V4,M3}  { ! alpha66( X, Y, Z, T ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ), 
% 8.09/8.48    alpha78( X, Y, Z, T ) }.
% 8.09/8.48  (21549) {G0,W10,D3,L2,V4,M2}  { ! c_Orderings_Oord__class_Oless( X, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), Y ), alpha66( X, Y, Z, T ) }.
% 8.09/8.48  (21550) {G0,W10,D2,L2,V4,M2}  { ! alpha78( X, Y, Z, T ), alpha66( X, Y, Z, 
% 8.09/8.48    T ) }.
% 8.09/8.48  (21551) {G0,W10,D2,L2,V4,M2}  { ! alpha78( X, Y, Z, T ), alpha90( X, Y, Z, 
% 8.09/8.48    T ) }.
% 8.09/8.48  (21552) {G0,W9,D2,L2,V4,M2}  { ! alpha78( X, Y, Z, T ), alpha26( X, Y, T )
% 8.09/8.48     }.
% 8.09/8.48  (21553) {G0,W14,D2,L3,V4,M3}  { ! alpha90( X, Y, Z, T ), ! alpha26( X, Y, T
% 8.09/8.48     ), alpha78( X, Y, Z, T ) }.
% 8.09/8.48  (21554) {G0,W20,D5,L3,V4,M3}  { ! alpha90( X, Y, Z, T ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Z, hAPP( c_Groups_Otimes__class_Otimes
% 8.09/8.48    ( X, c_Int_Onumber__class_Onumber__of( X, T ) ), Y ) ) }.
% 8.09/8.48  (21555) {G0,W10,D3,L2,V4,M2}  { c_Orderings_Oord__class_Oless( X, Y, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ) ), alpha90( X, Y, Z, T ) }.
% 8.09/8.48  (21556) {G0,W15,D5,L2,V4,M2}  { ! c_Orderings_Oord__class_Oless( X, Z, hAPP
% 8.09/8.48    ( c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, 
% 8.09/8.48    T ) ), Y ) ), alpha90( X, Y, Z, T ) }.
% 8.09/8.48  (21557) {G0,W20,D5,L3,V4,M3}  { ! alpha54( X, Y, Z, T ), ! 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, hAPP( c_Groups_Otimes__class_Otimes( X
% 8.09/8.48    , c_Int_Onumber__class_Onumber__of( X, T ) ), Y ), Z ) }.
% 8.09/8.48  (21558) {G0,W10,D3,L2,V4,M2}  { c_Orderings_Oord__class_Oless( X, 
% 8.09/8.48    c_Groups_Ozero__class_Ozero( X ), Y ), alpha54( X, Y, Z, T ) }.
% 8.09/8.48  (21559) {G0,W15,D5,L2,V4,M2}  { ! c_Orderings_Oord__class_Oless( X, hAPP( 
% 8.09/8.48    c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 8.09/8.48     ) ), Y ), Z ), alpha54( X, Y, Z, T ) }.
% 8.09/8.48  (21560) {G0,W16,D3,L3,V3,M3}  { ! alpha26( X, Y, Z ), 
% 8.09/8.48    c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ), 
% 8.09/8.49    c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Z
% 8.09/8.49     ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 8.09/8.49  (21561) {G0,W9,D3,L2,V3,M2}  { ! c_Orderings_Oord__class_Oless( X, Y, 
% 8.09/8.49    c_Groups_Ozero__class_Ozero( X ) ), alpha26( X, Y, Z ) }.
% 8.09/8.49  (21562) {G0,W11,D3,L2,V3,M2}  { ! c_Orderings_Oord__class_Oless( X, 
% 8.09/8.49    c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero( X
% 8.09/8.49     ) ), alpha26( X, Y, Z ) }.
% 8.09/8.49  (21563) {G0,W18,D4,L4,V4,M4}  { ! 
% 8.09/8.49    class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 8.09/8.49    ( X ), ! c_Orderings_Oord__class_Oless( X, T, 
% 8.09/8.49    c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of( 
% 8.09/8.49    X, Y ) ) ), alpha55( X, Y, Z, T ) }.
% 8.09/8.49  (21564) {G0,W18,D4,L4,V4,M4}  { ! 
% 8.09/8.49    class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 8.09/8.49    ( X ), ! c_Orderings_Oord__class_Oless( X, T, 
% 8.09/8.49    c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of( 
% 8.09/8.49    X, Y ) ) ), alpha67( X, Y, Z, T ) }.
% 8.09/8.49  (21565) {G0,W23,D4,L5,V4,M5}  { ! 
% 8.09/8.49    class_Fields_Olinordered__field__inverse__zero( X ), ! class_Int_Onumber
% 8.09/8.49    ( X ), ! alpha55( X, Y, Z, T ), ! alpha67( X, Y, Z, T ), 
% 8.09/8.49    c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X, 
% 8.09/8.49    Z, c_Int_Onumber__class_Onumber__of( X, Y ) ) ) }.
% 8.09/8.49  (21566) {G0,W17,D3,L3,V4,M3}  { ! alpha67( X, Y, Z, T ), 
% 8.09/8.49    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), 
% 8.09/8.49    c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha79( X, Y, Z, T ) }.
% 8.09/8.49  (21567) {G0,W12,D3,L2,V4,M2}  { ! c_Orderings_Oord__class_Oless( X, 
% 8.09/8.49    c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 8.09/8.49     ) ), alpha67( X, Y, Z, T ) }.
% 8.09/8.49  (21568) {G0,W10,D2,L2,V4,M2}  { ! alpha79( X, Y, Z, T ), alpha67( X, Y, Z, 
% 8.09/8.49    T ) }.
% 8.09/8.49  (21569) {G0,W10,D2,L2,V4,M2}  { ! alpha79( X, Y, Z, T ), alpha91( X, Y, Z, 
% 8.09/8.49    T ) }.
% 8.09/8.49  (21570) {G0,W9,D2,L2,V4,M2}  { ! alpha79( X, Y, Z, T ), alpha27( X, Y, T )
% 8.09/8.49     }.
% 8.09/8.49  (21571) {G0,W14,D2,L3,V4,M3}  { ! alpha91( X, Y, Z, T ), ! alpha27( X, Y, T
% 8.09/8.49     ), alpha79( X, Y, Z, T ) }.
% 8.09/8.49  (21572) {G0,W22,D4,L3,V4,M3}  { ! alpha91( X, Y, Z, T ), ! 
% 8.09/8.49    c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 8.09/8.49     ), c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 8.09/8.49    , Z, hAPP( c_Groups_Otimes__class_Otimes( X, T ), 
% 8.09/8.49    c_Int_Onumber__class_Onumber__of( X, Y ) ) ) }.
% 8.09/8.49  (21573) {G0,W12,D3,L2,V4,M2}  { c_Orderings_Oord__class_Oless( X, 
% 8.09/8.49    c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Ozero__class_Ozero( X
% 8.09/8.49     ) ), alpha91( X, Y, Z, T ) }.
% 8.09/8.49  (21574) {G0,W15,D4,L2,V4,M2}  { ! c_Orderings_Oord__class_Oless( X, Z, hAPP
% 8.09/8.49    ( c_Groups_Otimes__class_Otimes( X, T ), c_Int_Onumber__class_Onumber__of
% 8.09/8.49    ( X, Y ) ) ), alpha91( X, Y, Z, T ) }.
% 8.09/8.49  (21575) {G0,W22,D4,L3,V4,M3}  { ! alpha55( X, Y, Z, T ), ! 
% 8.09/8.49    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), 
% 8.09/8.49    c_Int_Onumber__class_Onumber__of( X, Y ) ), c_Orderings_Oord__class_Oless
% 8.09/8.49    ( X, hAPP( c_Groups_Otimes__class_Otimes( X, T ), 
% 8.09/8.49    c_Int_Onumber__class_Onumber__of( X, Y ) ), Z ) }.
% 8.09/8.49  (21576) {G0,W12,D3,L2,V4,M2}  { c_Orderings_Oord__class_Oless( X, 
% 8.09/8.49    c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 8.09/8.49     ) ), alpha55( X, Y, Z, T ) }.
% 8.09/8.49  (21577) {G0,W15,D4,L2,V4,M2}  { ! c_Orderings_Oord__class_Oless( X, hAPP( 
% 8.09/8.49    c_Groups_Otimes__class_Otimes( X, T ), c_Int_Onumber__class_Onumber__of( 
% 8.09/8.49    X, Y ) ), Z ), alpha55( X, Y, Z, T ) }.
% 8.09/8.49  (21578) {G0,W16,D3,L3,V3,M3}  { ! alpha27( X, Y, Z ), 
% 8.09/8.49    c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 8.09/8.49     ), c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 8.09/8.49    , Z, c_Groups_Ozero__class_Ozero( X ) ) }.
% 8.09/8.49  (21579) {G0,W11,D3,L2,V3,M2}  { ! c_Orderings_Oord__class_Oless( X, 
% 8.09/8.49    c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Ozero__class_Ozero( X
% 8.09/8.49     ) ), alpha27( X, Y, Z ) }.
% 8.09/8.49  (21580) {G0,W9,D3,L2,V3,M2}  { ! c_Orderings_Oord__class_Oless( X, Z, 
% 8.09/8.49    c_Groups_Ozero__class_Ozero( X ) ), alpha27( X, Y, Z ) }.
% 8.09/8.49  (21581) {G0,W12,D3,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.09/8.49    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), 
% 8.09/8.49    c_Deriv_Oderiv( tc_RealDef_Oreal, c_Transcendental_Oln, X, 
% 8.09/8.49    c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal, X ) ) }.
% 8.09/8.49  (21582) {G0,W9,D3,L2,V3,M2}  { ! class_RealVector_Oreal__normed__field( X )
% 8.09/8.49    , c_Deriv_Oderiv( X, c_Groups_Otimes__class_Otimes( X, Z ), Y, Z ) }.
% 8.09/8.49  (21583) {G0,W14,D4,L2,V2,M2}  { ! class_Int_Onumber__ring( X ), 
% 8.09/8.49    c_Int_Onumber__class_Onumber__of( X, c_Int_Osucc( Y ) ) = 
% 8.09/8.49    c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ), 
% 8.09/8.49    c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 8.09/8.49  (21584) {G0,W10,D3,L2,V1,M2}  { ! X = c_Groups_Ozero__class_Ozero( 
% 8.09/8.49    tc_RealDef_Oreal ), c_Groups_Osgn__class_Osgn( tc_RealDef_Oreal, X ) = 
% 8.09/8.49    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 8.09/8.49  (21585) {G0,W15,D3,L3,V1,M3}  { X = c_Groups_Ozero__class_Ozero( 
% 8.09/8.49    tc_RealDef_Oreal ), ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 8.09/8.49    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), 
% 8.09/8.49    c_Groups_Osgn__class_Osgn( tc_RealDef_Oreal, X ) = 
% 8.09/8.49    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 8.09/8.49  (21586) {G0,W17,D4,L3,V1,M3}  { X = c_Groups_Ozero__class_Ozero( 
% 8.09/8.49    tc_RealDef_Oreal ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 8.09/8.49    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), 
% 8.09/8.49    c_Groups_Osgn__class_Osgn( tc_RealDef_Oreal, X ) = 
% 8.09/8.49    c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, 
% 8.09/8.49    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 8.09/8.49  (21587) {G0,W10,D3,L2,V1,M2}  { ! X = c_Groups_Ozero__class_Ozero( 
% 8.09/8.49    tc_RealDef_Oreal ), c_Groups_Osgn__class_Osgn( tc_RealDef_Oreal, X ) = 
% 8.09/8.49    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 8.09/8.49  (21588) {G0,W15,D3,L3,V1,M3}  { X = c_Groups_Ozero__class_Ozero( 
% 8.09/8.49    tc_RealDef_Oreal ), ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 8.09/8.49    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), 
% 8.09/8.49    c_Groups_Osgn__class_Osgn( tc_RealDef_Oreal, X ) = 
% 8.09/8.49    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 8.09/8.49  (21589) {G0,W17,D4,L3,V1,M3}  { X = c_Groups_Ozero__class_Ozero( 
% 8.09/8.49    tc_RealDef_Oreal ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 8.09/8.49    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), 
% 8.09/8.49    c_Groups_Osgn__class_Osgn( tc_RealDef_Oreal, X ) = 
% 8.09/8.49    c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, 
% 8.09/8.49    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 8.09/8.49  (21590) {G0,W16,D4,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.09/8.49    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), 
% 8.09/8.49    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 8.09/8.49    c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oone__class_Oone
% 8.09/8.49    ( tc_RealDef_Oreal ), X ), hAPP( c_Transcendental_Oexp( tc_RealDef_Oreal
% 8.09/8.49     ), X ) ) }.
% 8.09/8.49  (21591) {G0,W14,D4,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.09/8.49    tc_RealDef_Oreal, Y, X ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal
% 8.09/8.49    , hAPP( c_Transcendental_Oexp( tc_RealDef_Oreal ), Y ), hAPP( 
% 8.09/8.49    c_Transcendental_Oexp( tc_RealDef_Oreal ), X ) ) }.
% 8.09/8.49  (21592) {G0,W15,D4,L1,V2,M1}  { c_Groups_Oplus__class_Oplus( tc_Int_Oint, 
% 8.09/8.49    c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ), 
% 8.09/8.49    c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) = 
% 8.09/8.49    c_Int_Onumber__class_Onumber__of( tc_Int_Oint, 
% 8.09/8.49    c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }.
% 8.09/8.49  (21593) {G0,W12,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.09/8.49    tc_Int_Oint, c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ), 
% 8.09/8.49    c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ), 
% 8.09/8.49    c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 8.09/8.49  (21594) {G0,W12,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.09/8.49    tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless( tc_Int_Oint, 
% 8.09/8.49    c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ), 
% 8.09/8.49    c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) }.
% 8.09/8.49  (21595) {G0,W17,D5,L1,V2,M1}  { hAPP( c_Groups_Otimes__class_Otimes( 
% 8.09/8.49    tc_Int_Oint, c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ) ), 
% 8.09/8.49    c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) = 
% 8.09/8.49    c_Int_Onumber__class_Onumber__of( tc_Int_Oint, hAPP( 
% 8.09/8.49    c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y ), X ) ) }.
% 8.09/8.49  (21596) {G0,W21,D6,L2,V3,M2}  { ! class_Int_Onumber__ring( X ), hAPP( 
% 8.09/8.49    c_Groups_Otimes__class_Otimes( X, c_Groups_Ouminus__class_Ouminus( X, 
% 8.09/8.49    c_Int_Onumber__class_Onumber__of( X, Z ) ) ), Y ) = hAPP( 
% 8.09/8.49    c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, 
% 8.09/8.49    c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Z ) ) ), Y ) }.
% 8.09/8.49  (21597) {G0,W13,D4,L2,V2,M2}  { ! class_Int_Onumber__ring( X ), 
% 8.09/8.49    c_Int_Onumber__class_Onumber__of( X, c_Groups_Ouminus__class_Ouminus( 
% 8.09/8.49    tc_Int_Oint, Y ) ) = c_Groups_Ouminus__class_Ouminus( X, 
% 8.09/8.49    c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 8.09/8.49  (21598) {G0,W13,D4,L2,V2,M2}  { ! class_Int_Onumber__ring( X ), 
% 8.09/8.49    c_Groups_Ouminus__class_Ouminus( X, c_Int_Onumber__class_Onumber__of( X, 
% 8.09/8.49    Y ) ) = c_Int_Onumber__class_Onumber__of( X, 
% 8.09/8.49    c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y ) ) }.
% 8.09/8.49  (21599) {G0,W12,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.09/8.49    tc_Int_Oint, c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ), 
% 8.09/8.49    c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ), 
% 8.09/8.49    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ) }.
% 8.09/8.49  (21600) {G0,W12,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.09/8.49    tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, 
% 8.09/8.49    c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ), 
% 8.09/8.49    c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) }.
% 8.09/8.49  (21601) {G0,W13,D4,L2,V2,M2}  { ! class_RealVector_Oreal__normed__vector( X
% 8.09/8.49     ), c_Groups_Osgn__class_Osgn( X, c_Groups_Ouminus__class_Ouminus( X, Y )
% 8.09/8.49     ) = c_Groups_Ouminus__class_Ouminus( X, c_Groups_Osgn__class_Osgn( X, Y
% 8.09/8.49     ) ) }.
% 8.09/8.49  (21602) {G0,W14,D4,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.09/8.49    tc_RealDef_Oreal, hAPP( c_Transcendental_Oexp( tc_RealDef_Oreal ), Y ), 
% 8.09/8.49    hAPP( c_Transcendental_Oexp( tc_RealDef_Oreal ), X ) ), 
% 8.09/8.49    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 8.09/8.49  (21603) {G0,W14,D4,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.09/8.49    tc_RealDef_Oreal, Y, X ), c_Orderings_Oord__class_Oless__eq( 
% 8.09/8.49    tc_RealDef_Oreal, hAPP( c_Transcendental_Oexp( tc_RealDef_Oreal ), Y ), 
% 8.09/8.49    hAPP( c_Transcendental_Oexp( tc_RealDef_Oreal ), X ) ) }.
% 8.09/8.49  (21604) {G0,W17,D5,L3,V2,M3}  { ! class_RealVector_Oreal__normed__field( X
% 8.09/8.49     ), ! class_SEQ_Obanach( X ), hAPP( c_Transcendental_Oexp( X ), 
% 8.09/8.49    c_Groups_Ouminus__class_Ouminus( X, Y ) ) = 
% 8.09/8.49    c_Rings_Oinverse__class_Oinverse( X, hAPP( c_Transcendental_Oexp( X ), Y
% 8.09/8.49     ) ) }.
% 8.09/8.49  (21605) {G0,W12,D4,L2,V2,M2}  { ! hAPP( c_Transcendental_Oexp( 
% 8.09/8.49    tc_RealDef_Oreal ), Y ) = hAPP( c_Transcendental_Oexp( tc_RealDef_Oreal )
% 8.09/8.49    , X ), Y = X }.
% 8.09/8.49  (21606) {G0,W12,D4,L2,V2,M2}  { ! Y = X, hAPP( c_Transcendental_Oexp( 
% 8.09/8.49    tc_RealDef_Oreal ), Y ) = hAPP( c_Transcendental_Oexp( tc_RealDef_Oreal )
% 8.09/8.49    , X ) }.
% 8.09/8.49  (21607) {G0,W9,D4,L2,V1,M2}  { ! class_Groups_Ogroup__add( X ), 
% 8.09/8.49    c_Groups_Ouminus__class_Ouminus( X, c_Groups_Ozero__class_Ozero( X ) ) = 
% 8.09/8.49    c_Groups_Ozero__class_Ozero( X ) }.
% 8.09/8.49  (21608) {G0,W12,D3,L3,V2,M3}  { ! class_Groups_Ogroup__add( X ), ! 
% 8.09/8.49    c_Groups_Ozero__class_Ozero( X ) = c_Groups_Ouminus__class_Ouminus( X, Y
% 8.09/8.49     ), c_Groups_Ozero__class_Ozero( X ) = Y }.
% 8.09/8.49  (21609) {G0,W12,D3,L3,V2,M3}  { ! class_Groups_Ogroup__add( X ), ! 
% 8.09/8.49    c_Groups_Ozero__class_Ozero( X ) = Y, c_Groups_Ozero__class_Ozero( X ) = 
% 8.09/8.49    c_Groups_Ouminus__class_Ouminus( X, Y ) }.
% 8.09/8.49  (21610) {G0,W11,D3,L3,V2,M3}  { ! class_Groups_Olinordered__ab__group__add
% 8.09/8.49    ( X ), ! Y = c_Groups_Ouminus__class_Ouminus( X, Y ), Y = 
% 8.09/8.49    c_Groups_Ozero__class_Ozero( X ) }.
% 8.09/8.49  (21611) {G0,W11,D3,L3,V2,M3}  { ! class_Groups_Olinordered__ab__group__add
% 8.09/8.49    ( X ), ! Y = c_Groups_Ozero__class_Ozero( X ), Y = 
% 8.09/8.49    c_Groups_Ouminus__class_Ouminus( X, Y ) }.
% 8.09/8.49  (21612) {G0,W12,D3,L3,V2,M3}  { ! class_Groups_Ogroup__add( X ), ! 
% 8.09/8.49    c_Groups_Ouminus__class_Ouminus( X, Y ) = c_Groups_Ozero__class_Ozero( X
% 8.09/8.49     ), Y = c_Groups_Ozero__class_Ozero( X ) }.
% 8.09/8.49  (21613) {G0,W12,D3,L3,V2,M3}  { ! class_Groups_Ogroup__add( X ), ! Y = 
% 8.09/8.49    c_Groups_Ozero__class_Ozero( X ), c_Groups_Ouminus__class_Ouminus( X, Y )
% 8.09/8.49     = c_Groups_Ozero__class_Ozero( X ) }.
% 8.09/8.49  (21614) {G0,W11,D3,L3,V2,M3}  { ! class_Groups_Olinordered__ab__group__add
% 8.09/8.49    ( X ), ! c_Groups_Ouminus__class_Ouminus( X, Y ) = Y, Y = 
% 8.09/8.49    c_Groups_Ozero__class_Ozero( X ) }.
% 8.09/8.49  (21615) {G0,W11,D3,L3,V2,M3}  { ! class_Groups_Olinordered__ab__group__add
% 8.09/8.49    ( X ), ! Y = c_Groups_Ozero__class_Ozero( X ), 
% 8.09/8.49    c_Groups_Ouminus__class_Ouminus( X, Y ) = Y }.
% 8.09/8.49  (21616) {G0,W14,D3,L3,V3,M3}  { ! class_Groups_Oordered__ab__group__add( X
% 8.09/8.49     ), ! c_Orderings_Oord__class_Oless__eq( X, Z, 
% 8.09/8.49    c_Groups_Ouminus__class_Ouminus( X, Y ) ), 
% 8.09/8.49    c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ouminus__class_Ouminus
% 8.09/8.49    ( X, Z ) ) }.
% 8.09/8.49  (21617) {G0,W14,D3,L3,V3,M3}  { ! class_Groups_Oordered__ab__group__add( X
% 8.09/8.49     ), ! c_Orderings_Oord__class_Oless__eq( X, Y, 
% 8.09/8.49    c_Groups_Ouminus__class_Ouminus( X, Z ) ), 
% 8.09/8.49    c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ouminus__class_Ouminus
% 8.09/8.49    ( X, Y ) ) }.
% 8.09/8.49  (21618) {G0,W14,D3,L3,V3,M3}  { ! class_Groups_Oordered__ab__group__add( X
% 8.09/8.49     ), ! c_Orderings_Oord__class_Oless__eq( X, 
% 8.09/8.49    c_Groups_Ouminus__class_Ouminus( X, Z ), Y ), 
% 8.09/8.49    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 8.09/8.49    , Y ), Z ) }.
% 8.09/8.49  (21619) {G0,W14,D3,L3,V3,M3}  { ! class_Groups_Oordered__ab__group__add( X
% 8.09/8.49     ), ! c_Orderings_Oord__class_Oless__eq( X, 
% 8.09/8.49    c_Groups_Ouminus__class_Ouminus( X, Y ), Z ), 
% 8.09/8.49    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 8.09/8.49    , Z ), Y ) }.
% 8.09/8.49  (21620) {G0,W14,D3,L3,V3,M3}  { ! class_Groups_Oordered__ab__group__add( X
% 8.09/8.49     ), ! c_Orderings_Oord__class_Oless__eq( X, 
% 8.09/8.49    c_Groups_Ouminus__class_Ouminus( X, Z ), c_Groups_Ouminus__class_Ouminus
% 8.09/8.49    ( X, Y ) ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 8.09/8.49  (21621) {G0,W14,D3,L3,V3,M3}  { ! class_Groups_Oordered__ab__group__add( X
% 8.09/8.49     ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), 
% 8.09/8.49    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 8.09/8.49    , Z ), c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 8.09/8.49  (21622) {G0,W14,D3,L3,V3,M3}  { ! class_Groups_Oordered__ab__group__add( X
% 8.09/8.49     ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ), 
% 8.09/8.49    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 8.09/8.49    , Y ), c_Groups_Ouminus__class_Ouminus( X, Z ) ) }.
% 8.09/8.49  (21623) {G0,W14,D3,L3,V3,M3}  { ! class_Lattices_Oboolean__algebra( X ), ! 
% 8.09/8.49    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), 
% 8.09/8.49    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 8.09/8.49    , Y ), c_Groups_Ouminus__class_Ouminus( X, Z ) ) }.
% 8.09/8.49  (21624) {G0,W14,D3,L3,V3,M3}  { ! class_Lattices_Oboolean__algebra( X ), ! 
% 8.09/8.49    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 8.09/8.49    , Z ), c_Groups_Ouminus__class_Ouminus( X, Y ) ), 
% 8.09/8.49    c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 8.09/8.49  (21625) {G0,W14,D3,L3,V3,M3}  { ! class_Lattices_Oboolean__algebra( X ), ! 
% 8.09/8.49    c_Orderings_Oord__class_Oless__eq( X, Y, Z ), 
% 8.09/8.49    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 8.09/8.49    , Z ), c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 8.09/8.49  (21626) {G0,W14,D3,L3,V3,M3}  { ! class_Groups_Oordered__ab__group__add( X
% 8.09/8.49     ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( 
% 8.09/8.49    X, Z ), c_Groups_Ouminus__class_Ouminus( X, Y ) ), 
% 8.09/8.49    c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 8.09/8.49  (21627) {G0,W14,D3,L3,V3,M3}  { ! class_Groups_Oordered__ab__group__add( X
% 8.09/8.49     ), ! c_Orderings_Oord__class_Oless( X, Y, Z ), 
% 8.09/8.49    c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Z )
% 8.09/8.49    , c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 8.09/8.49  (21628) {G0,W14,D3,L3,V3,M3}  { ! class_Groups_Oordered__ab__group__add( X
% 8.09/8.49     ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( 
% 8.09/8.49    X, Z ), Y ), c_Orderings_Oord__class_Oless( X, 
% 8.09/8.49    c_Groups_Ouminus__class_Ouminus( X, Y ), Z ) }.
% 8.09/8.49  (21629) {G0,W14,D3,L3,V3,M3}  { ! class_Groups_Oordered__ab__group__add( X
% 8.09/8.49     ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( 
% 8.09/8.49    X, Y ), Z ), c_Orderings_Oord__class_Oless( X, 
% 8.09/8.49    c_Groups_Ouminus__class_Ouminus( X, Z ), Y ) }.
% 8.09/8.49  (21630) {G0,W14,D3,L3,V3,M3}  { ! class_Groups_Oordered__ab__group__add( X
% 8.09/8.49     ), ! c_Orderings_Oord__class_Oless( X, Z, 
% 8.09/8.49    c_Groups_Ouminus__class_Ouminus( X, Y ) ), c_Orderings_Oord__class_Oless
% 8.09/8.49    ( X, Y, c_Groups_Ouminus__class_Ouminus( X, Z ) ) }.
% 8.09/8.49  (21631) {G0,W14,D3,L3,V3,M3}  { ! class_Groups_Oordered__ab__group__add( X
% 8.09/8.49     ), ! c_Orderings_Oord__class_Oless( X, Y, 
% 8.09/8.49    c_Groups_Ouminus__class_Ouminus( X, Z ) ), c_Orderings_Oord__class_Oless
% 8.09/8.49    ( X, Z, c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 8.09/8.49  (21632) {G0,W21,D4,L4,V3,M4}  { ! class_Rings_Oidom( X ), ! hAPP( 
% 8.09/8.49    c_Groups_Otimes__class_Otimes( X, Z ), Z ) = hAPP( 
% 8.09/8.49    c_Groups_Otimes__class_Otimes( X, Y ), Y ), Z = Y, Z = 
% 8.09/8.49    c_Groups_Ouminus__class_Ouminus( X, Y ) }.
% 8.09/8.49  (21633) {G0,W16,D4,L3,V3,M3}  { ! class_Rings_Oidom( X ), ! Z = Y, hAPP( 
% 8.09/8.49    c_Groups_Otimes__class_Otimes( X, Z ), Z ) = hAPP( 
% 8.09/8.49    c_Groups_Otimes__class_Otimes( X, Y ), Y ) }.
% 8.09/8.49  (21634) {G0,W18,D4,L3,V3,M3}  { ! class_Rings_Oidom( X ), ! Z = 
% 8.09/8.49    c_Groups_Ouminus__class_Ouminus( X, Y ), hAPP( 
% 8.09/8.49    c_Groups_Otimes__class_Otimes( X, Z ), Z ) = hAPP( 
% 8.09/8.49    c_Groups_Otimes__class_Otimes( X, Y ), Y ) }.
% 8.09/8.49  (21635) {G0,W17,D5,L2,V3,M2}  { ! class_Rings_Oring( X ), hAPP( 
% 8.09/8.49    c_Groups_Otimes__class_Otimes( X, c_Groups_Ouminus__class_Ouminus( X, Z )
% 8.09/8.49     ), c_Groups_Ouminus__class_Ouminus( X, Y ) ) = hAPP( 
% 8.09/8.49    c_Groups_Otimes__class_Otimes( X, Z ), Y ) }.
% 8.09/8.49  (21636) {G0,W17,D5,L2,V3,M2}  { ! class_Rings_Oring( X ), hAPP( 
% 8.09/8.49    c_Groups_Otimes__class_Otimes( X, c_Groups_Ouminus__class_Ouminus( X, Z )
% 8.09/8.49     ), Y ) = hAPP( c_Groups_Otimes__class_Otimes( X, Z ), 
% 8.09/8.49    c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 8.09/8.49  (21637) {G0,W17,D5,L2,V3,M2}  { ! class_Rings_Oring( X ), 
% 8.09/8.49    c_Groups_Ouminus__class_Ouminus( X, hAPP( c_Groups_Otimes__class_Otimes( 
% 8.09/8.49    X, Z ), Y ) ) = hAPP( c_Groups_Otimes__class_Otimes( X, 
% 8.09/8.49    c_Groups_Ouminus__class_Ouminus( X, Z ) ), Y ) }.
% 8.09/8.49  (21638) {G0,W17,D5,L2,V3,M2}  { ! class_Rings_Oring( X ), 
% 8.09/8.49    c_Groups_Ouminus__class_Ouminus( X, hAPP( c_Groups_Otimes__class_Otimes( 
% 8.09/8.49    X, Z ), Y ) ) = hAPP( c_Groups_Otimes__class_Otimes( X, Z ), 
% 8.09/8.49    c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 8.09/8.49  (21639) {G0,W17,D5,L2,V3,M2}  { ! class_RealVector_Oreal__normed__algebra( 
% 8.09/8.49    X ), hAPP( c_Groups_Otimes__class_Otimes( X, 
% 8.09/8.49    c_Groups_Ouminus__class_Ouminus( X, Z ) ), Y ) = 
% 8.09/8.49    c_Groups_Ouminus__class_Ouminus( X, hAPP( c_Groups_Otimes__class_Otimes( 
% 8.09/8.49    X, Z ), Y ) ) }.
% 8.09/8.49  (21640) {G0,W17,D5,L2,V3,M2}  { ! class_RealVector_Oreal__normed__algebra( 
% 8.09/8.49    X ), hAPP( c_Groups_Otimes__class_Otimes( X, 
% 8.09/8.49    c_Groups_Ouminus__class_Ouminus( X, Z ) ), Y ) = 
% 8.09/8.49    c_Groups_Ouminus__class_Ouminus( X, hAPP( c_Groups_Otimes__class_Otimes( 
% 8.09/8.49    X, Z ), Y ) ) }.
% 8.09/8.49  (21641) {G0,W17,D5,L2,V3,M2}  { ! class_RealVector_Oreal__normed__algebra( 
% 8.09/8.49    X ), hAPP( c_Groups_Otimes__class_Otimes( X, Z ), 
% 8.09/8.49    c_Groups_Ouminus__class_Ouminus( X, Y ) ) = 
% 8.09/8.49    c_Groups_Ouminus__class_Ouminus( X, hAPP( c_Groups_Otimes__class_Otimes( 
% 8.09/8.49    X, Z ), Y ) ) }.
% 8.09/8.49  (21642) {G0,W17,D5,L2,V3,M2}  { ! class_RealVector_Oreal__normed__algebra( 
% 8.09/8.49    X ), hAPP( c_Groups_Otimes__class_Otimes( X, Z ), 
% 8.09/8.49    c_Groups_Ouminus__class_Ouminus( X, Y ) ) = 
% 8.09/8.49    c_Groups_Ouminus__class_Ouminus( X, hAPP( c_Groups_Otimes__class_Otimes( 
% 8.09/8.49    X, Z ), Y ) ) }.
% 8.09/8.49  (21643) {G0,W13,D4,L2,V3,M2}  { ! class_Groups_Ogroup__add( X ), 
% 8.09/8.49    c_Groups_Oplus__class_Oplus( X, c_Groups_Ouminus__class_Ouminus( X, Z ), 
% 8.09/8.49    c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = Y }.
% 8.09/8.49  (21644) {G0,W13,D5,L2,V3,M2}  { ! class_Groups_Ogroup__add( X ), 
% 8.09/8.49    c_Groups_Oplus__class_Oplus( X, Z, c_Groups_Oplus__class_Oplus( X, 
% 8.09/8.49    c_Groups_Ouminus__class_Ouminus( X, Z ), Y ) ) = Y }.
% 8.09/8.49  (21645) {G0,W17,D4,L2,V3,M2}  { ! class_Groups_Ogroup__add( X ), 
% 8.09/8.49    c_Groups_Ouminus__class_Ouminus( X, c_Groups_Oplus__class_Oplus( X, Z, Y
% 8.09/8.49     ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Ouminus__class_Ouminus( X
% 8.09/8.49    , Y ), c_Groups_Ouminus__class_Ouminus( X, Z ) ) }.
% 8.09/8.49  (21646) {G0,W17,D4,L2,V3,M2}  { ! class_Groups_Oab__group__add( X ), 
% 8.09/8.49    c_Groups_Ouminus__class_Ouminus( X, c_Groups_Oplus__class_Oplus( X, Z, Y
% 8.09/8.49     ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Ouminus__class_Ouminus( X
% 8.09/8.49    , Z ), c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 8.09/8.49  (21647) {G0,W15,D4,L2,V3,M2}  { ! class_Rings_Odivision__ring( X ), 
% 8.09/8.49    c_Groups_Ouminus__class_Ouminus( X, c_Rings_Oinverse__class_Odivide( X, Z
% 8.09/8.49    , Y ) ) = c_Rings_Oinverse__class_Odivide( X, 
% 8.09/8.49    c_Groups_Ouminus__class_Ouminus( X, Z ), Y ) }.
% 8.09/8.49  (21648) {G0,W15,D4,L2,V3,M2}  { ! class_Fields_Ofield__inverse__zero( X ), 
% 8.09/8.49    c_Groups_Ouminus__class_Ouminus( X, c_Rings_Oinverse__class_Odivide( X, Z
% 8.09/8.49    , Y ) ) = c_Rings_Oinverse__class_Odivide( X, Z, 
% 8.09/8.49    c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 8.09/8.49  (21649) {G0,W15,D4,L2,V3,M2}  { ! class_Fields_Ofield__inverse__zero( X ), 
% 8.09/8.49    c_Rings_Oinverse__class_Odivide( X, c_Groups_Ouminus__class_Ouminus( X, Z
% 8.09/8.49     ), c_Groups_Ouminus__class_Ouminus( X, Y ) ) = 
% 8.09/8.49    c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 8.09/8.49  (21650) {G0,W15,D4,L2,V3,M2}  { ! class_RealVector_Oreal__normed__field( X
% 8.09/8.49     ), c_Rings_Oinverse__class_Odivide( X, c_Groups_Ouminus__class_Ouminus( 
% 8.09/8.49    X, Z ), Y ) = c_Groups_Ouminus__class_Ouminus( X, 
% 8.09/8.49    c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 8.09/8.49  (21651) {G0,W13,D4,L2,V2,M2}  { ! 
% 8.09/8.49    class_Rings_Odivision__ring__inverse__zero( X ), 
% 8.09/8.49    c_Rings_Oinverse__class_Oinverse( X, c_Groups_Ouminus__class_Ouminus( X, 
% 8.09/8.49    Y ) ) = c_Groups_Ouminus__class_Ouminus( X, 
% 8.09/8.49    c_Rings_Oinverse__class_Oinverse( X, Y ) ) }.
% 8.09/8.49  (21652) {G0,W9,D4,L2,V2,M2}  { ! class_Lattices_Oboolean__algebra( X ), 
% 8.09/8.49    c_Groups_Ouminus__class_Ouminus( X, c_Groups_Ouminus__class_Ouminus( X, Y
% 8.09/8.49     ) ) = Y }.
% 8.09/8.49  (21653) {G0,W15,D5,L2,V4,M2}  { ! class_Groups_Ouminus( X ), hAPP( 
% 8.09/8.49    c_Groups_Ouminus__class_Ouminus( tc_fun( T, X ), Z ), Y ) = 
% 8.09/8.49    c_Groups_Ouminus__class_Ouminus( X, hAPP( Z, Y ) ) }.
% 8.09/8.49  (21654) {G0,W12,D3,L3,V3,M3}  { ! class_Lattices_Oboolean__algebra( X ), ! 
% 8.09/8.49    c_Groups_Ouminus__class_Ouminus( X, Z ) = c_Groups_Ouminus__class_Ouminus
% 8.09/8.49    ( X, Y ), Z = Y }.
% 8.09/8.49  (21655) {G0,W12,D3,L3,V3,M3}  { ! class_Lattices_Oboolean__algebra( X ), ! 
% 8.09/8.49    Z = Y, c_Groups_Ouminus__class_Ouminus( X, Z ) = 
% 8.09/8.49    c_Groups_Ouminus__class_Ouminus( X, Y ) }.
% 8.09/8.49  (21656) {G0,W9,D4,L2,V2,M2}  { ! class_Groups_Ogroup__add( X ), 
% 8.09/8.49    c_Groups_Ouminus__class_Ouminus( X, c_Groups_Ouminus__class_Ouminus( X, Y
% 8.09/8.49     ) ) = Y }.
% 8.09/8.49  (21657) {G0,W12,D3,L3,V3,M3}  { ! class_Groups_Ogroup__add( X ), ! Z = 
% 8.09/8.49    c_Groups_Ouminus__class_Ouminus( X, Y ), Y = 
% 8.09/8.49    c_Groups_Ouminus__class_Ouminus( X, Z ) }.
% 8.09/8.49  (21658) {G0,W12,D3,L3,V3,M3}  { ! class_Groups_Ogroup__add( X ), ! Y = 
% 8.09/8.49    c_Groups_Ouminus__class_Ouminus( X, Z ), Z = 
% 8.09/8.49    c_Groups_Ouminus__class_Ouminus( X, Y ) }.
% 8.09/8.49  (21659) {G0,W12,D3,L3,V3,M3}  { ! class_Groups_Ogroup__add( X ), ! 
% 8.09/8.49    c_Groups_Ouminus__class_Ouminus( X, Z ) = Y, 
% 8.09/8.49    c_Groups_Ouminus__class_Ouminus( X, Y ) = Z }.
% 8.09/8.49  (21660) {G0,W12,D3,L3,V3,M3}  { ! class_Groups_Ogroup__add( X ), ! 
% 8.09/8.49    c_Groups_Ouminus__class_Ouminus( X, Y ) = Z, 
% 8.09/8.49    c_Groups_Ouminus__class_Ouminus( X, Z ) = Y }.
% 8.09/8.49  (21661) {G0,W12,D3,L3,V3,M3}  { ! class_Groups_Ogroup__add( X ), ! 
% 8.09/8.49    c_Groups_Ouminus__class_Ouminus( X, Z ) = c_Groups_Ouminus__class_Ouminus
% 8.09/8.49    ( X, Y ), Z = Y }.
% 8.09/8.49  (21662) {G0,W12,D3,L3,V3,M3}  { ! class_Groups_Ogroup__add( X ), ! Z = Y, 
% 8.09/8.49    c_Groups_Ouminus__class_Ouminus( X, Z ) = c_Groups_Ouminus__class_Ouminus
% 8.09/8.49    ( X, Y ) }.
% 8.09/8.49  (21663) {G0,W14,D4,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.09/8.49    tc_RealDef_Oreal, hAPP( c_Transcendental_Oexp( tc_RealDef_Oreal ), Y ), 
% 8.09/8.49    hAPP( c_Transcendental_Oexp( tc_RealDef_Oreal ), X ) ), 
% 8.09/8.49    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ) }.
% 8.09/8.49  (21664) {G0,W14,D4,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.09/8.49    tc_RealDef_Oreal, Y, X ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal
% 8.09/8.49    , hAPP( c_Transcendental_Oexp( tc_RealDef_Oreal ), Y ), hAPP( 
% 8.09/8.49    c_Transcendental_Oexp( tc_RealDef_Oreal ), X ) ) }.
% 8.09/8.49  (21665) {G0,W14,D4,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.09/8.49    tc_RealDef_Oreal, hAPP( c_Transcendental_Oexp( tc_RealDef_Oreal ), Y ), 
% 8.09/8.49    hAPP( c_Transcendental_Oexp( tc_RealDef_Oreal ), X ) ), 
% 8.09/8.49    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ) }.
% 8.09/8.49  (21666) {G0,W11,D2,L3,V2,M3}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.09/8.49    tc_Int_Oint, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X
% 8.09/8.49    , Y ), Y = X }.
% 8.09/8.49  (21667) {G0,W12,D2,L3,V3,M3}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.09/8.49    tc_Int_Oint, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X
% 8.09/8.49    , Z ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, Z ) }.
% 8.09/8.49  (21668) {G0,W8,D2,L2,V2,M2}  { c_Orderings_Oord__class_Oless__eq( 
% 8.09/8.49    tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, Y
% 8.09/8.49     ) }.
% 8.09/8.49  (21669) {G0,W4,D2,L1,V1,M1}  { c_Orderings_Oord__class_Oless__eq( 
% 8.09/8.49    tc_Int_Oint, X, X ) }.
% 8.09/8.49  (21670) {G0,W8,D5,L1,V1,M1}  { hAPP( c_Groups_Otimes__class_Otimes( 
% 8.09/8.49    tc_Int_Oint, c_Groups_Oone__class_Oone( tc_Int_Oint ) ), X ) = X }.
% 8.09/8.49  (21671) {G0,W8,D4,L1,V1,M1}  { hAPP( c_Groups_Otimes__class_Otimes( 
% 8.09/8.49    tc_Int_Oint, X ), c_Groups_Oone__class_Oone( tc_Int_Oint ) ) = X }.
% 8.09/8.49  (21672) {G0,W19,D6,L1,V3,M1}  { hAPP( c_Groups_Otimes__class_Otimes( 
% 8.09/8.49    tc_Int_Oint, hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z ), Y ) )
% 8.09/8.49    , X ) = hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z ), hAPP( 
% 8.09/8.49    c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y ), X ) ) }.
% 8.09/8.49  (21673) {G0,W11,D4,L1,V2,M1}  { hAPP( c_Groups_Otimes__class_Otimes( 
% 8.09/8.49    tc_Int_Oint, Y ), X ) = hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint
% 8.09/8.49    , X ), Y ) }.
% 8.09/8.49  (21674) {G0,W11,D2,L3,V2,M3}  { c_Orderings_Oord__class_Oless( tc_Int_Oint
% 8.09/8.49    , Y, X ), Y = X, c_Orderings_Oord__class_Oless( tc_Int_Oint, X, Y ) }.
% 8.09/8.49  (21675) {G0,W21,D4,L3,V3,M3}  { ! c_Orderings_Oord__class_Oless( 
% 8.09/8.49    tc_Int_Oint, Y, X ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint, 
% 8.09/8.49    c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Z ), 
% 8.09/8.49    c_Orderings_Oord__class_Oless( tc_Int_Oint, hAPP( 
% 8.09/8.49    c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z ), Y ), hAPP( 
% 8.09/8.49    c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z ), X ) ) }.
% 8.09/8.49  (21676) {G0,W17,D4,L3,V2,M3}  { ! c_Orderings_Oord__class_Oless( 
% 8.09/8.49    tc_Int_Oint, c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), ! hAPP( 
% 8.09/8.49    c_Groups_Otimes__class_Otimes( tc_Int_Oint, X ), Y ) = 
% 8.09/8.49    c_Groups_Oone__class_Oone( tc_Int_Oint ), X = c_Groups_Oone__class_Oone( 
% 8.09/8.49    tc_Int_Oint ) }.
% 8.09/8.49  (21677) {G0,W17,D4,L3,V2,M3}  { ! c_Orderings_Oord__class_Oless( 
% 8.09/8.49    tc_Int_Oint, c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), ! hAPP( 
% 8.09/8.49    c_Groups_Otimes__class_Otimes( tc_Int_Oint, X ), Y ) = 
% 8.09/8.49    c_Groups_Oone__class_Oone( tc_Int_Oint ), Y = c_Groups_Oone__class_Oone( 
% 8.09/8.49    tc_Int_Oint ) }.
% 8.09/8.49  (21678) {G0,W21,D4,L4,V2,M4}  { ! c_Orderings_Oord__class_Oless( 
% 8.09/8.49    tc_Int_Oint, c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), ! X = 
% 8.09/8.49    c_Groups_Oone__class_Oone( tc_Int_Oint ), ! Y = c_Groups_Oone__class_Oone
% 8.09/8.49    ( tc_Int_Oint ), hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint, X ), Y
% 8.09/8.49     ) = c_Groups_Oone__class_Oone( tc_Int_Oint ) }.
% 8.09/8.49  (21679) {G0,W6,D3,L1,V0,M1}  { c_Orderings_Oord__class_Oless( tc_Int_Oint, 
% 8.09/8.49    c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Oone__class_Oone( 
% 8.09/8.49    tc_Int_Oint ) ) }.
% 8.09/8.49  (21680) {G0,W11,D5,L1,V1,M1}  { ! c_Groups_Oplus__class_Oplus( tc_Int_Oint
% 8.09/8.49    , c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Oone__class_Oone( 
% 8.09/8.49    tc_Int_Oint ), X ), X ) = c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 8.09/8.49  (21681) {G0,W8,D4,L1,V1,M1}  { c_Int_Osucc( X ) = 
% 8.09/8.49    c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone( 
% 8.09/8.49    tc_Int_Oint ) ) }.
% 8.09/8.49  (21682) {G0,W7,D4,L1,V1,M1}  { c_Groups_Oplus__class_Oplus( tc_Int_Oint, 
% 8.09/8.49    c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ) = X }.
% 8.09/8.49  (21683) {G0,W7,D4,L1,V1,M1}  { c_Groups_Oplus__class_Oplus( tc_Int_Oint, X
% 8.09/8.49    , c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) = X }.
% 8.09/8.49  (21684) {G0,W15,D4,L3,V2,M3}  { ! c_Orderings_Oord__class_Oless( 
% 8.09/8.49    tc_Int_Oint, Y, c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, 
% 8.09/8.49    c_Groups_Oone__class_Oone( tc_Int_Oint ) ) ), 
% 8.09/8.49    c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), Y = X }.
% 8.09/8.49  (21685) {G0,W12,D4,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.09/8.49    tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, 
% 8.09/8.49    c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone( 
% 8.09/8.49    tc_Int_Oint ) ) ) }.
% 8.09/8.49  (21686) {G0,W11,D4,L2,V2,M2}  { ! Y = X, c_Orderings_Oord__class_Oless( 
% 8.09/8.49    tc_Int_Oint, Y, c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, 
% 8.09/8.49    c_Groups_Oone__class_Oone( tc_Int_Oint ) ) ) }.
% 8.09/8.49  (21687) {G0,W17,D5,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.09/8.49    tc_Int_Oint, c_Groups_Oplus__class_Oplus( tc_Int_Oint, 
% 8.09/8.49    c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Oone__class_Oone( 
% 8.09/8.49    tc_Int_Oint ), X ), X ), c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), 
% 8.09/8.49    c_Orderings_Oord__class_Oless( tc_Int_Oint, X, 
% 8.09/8.49    c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 8.09/8.49  (21688) {G0,W17,D5,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.09/8.49    tc_Int_Oint, X, c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), 
% 8.09/8.49    c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus( 
% 8.09/8.49    tc_Int_Oint, c_Groups_Oplus__class_Oplus( tc_Int_Oint, 
% 8.09/8.49    c_Groups_Oone__class_Oone( tc_Int_Oint ), X ), X ), 
% 8.09/8.49    c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 8.09/8.49  (21689) {G0,W14,D3,L2,V3,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.09/8.49    tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless( tc_Int_Oint, 
% 8.09/8.49    c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, Z ), 
% 8.09/8.49    c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, Z ) ) }.
% 8.09/8.49  (21690) {G0,W9,D3,L1,V2,M1}  { c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y
% 8.09/8.49    , X ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, Y ) }.
% 8.09/8.49  (21691) {G0,W15,D4,L1,V3,M1}  { c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z
% 8.09/8.49    , c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) = 
% 8.09/8.49    c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, c_Groups_Oplus__class_Oplus
% 8.09/8.49    ( tc_Int_Oint, Z, X ) ) }.
% 8.09/8.49  (21692) {G0,W15,D4,L1,V3,M1}  { c_Groups_Oplus__class_Oplus( tc_Int_Oint, 
% 8.09/8.49    c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, Y ), X ) = 
% 8.09/8.49    c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, c_Groups_Oplus__class_Oplus
% 8.09/8.49    ( tc_Int_Oint, Y, X ) ) }.
% 8.09/8.49  (21693) {G0,W21,D5,L1,V3,M1}  { hAPP( c_Groups_Otimes__class_Otimes( 
% 8.09/8.49    tc_Int_Oint, c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, Y ) ), X ) = 
% 8.09/8.49    c_Groups_Oplus__class_Oplus( tc_Int_Oint, hAPP( 
% 8.09/8.49    c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z ), X ), hAPP( 
% 8.09/8.49    c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y ), X ) ) }.
% 8.09/8.49  (21694) {G0,W21,D5,L1,V3,M1}  { hAPP( c_Groups_Otimes__class_Otimes( 
% 8.09/8.49    tc_Int_Oint, Z ), c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) = 
% 8.09/8.49    c_Groups_Oplus__class_Oplus( tc_Int_Oint, hAPP( 
% 8.09/8.49    c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z ), Y ), hAPP( 
% 8.09/8.49    c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z ), X ) ) }.
% 8.09/8.49  (21695) {G0,W10,D3,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.09/8.49    tc_Int_Oint, c_Groups_Oone__class_Oone( tc_Int_Oint ), X ), 
% 8.09/8.49    c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero( 
% 8.09/8.49    tc_Int_Oint ), X ) }.
% 8.09/8.49  (21696) {G0,W10,D3,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Int_Oint, c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Groups_Oone__class_Oone
% 8.15/8.49    ( tc_Int_Oint ), X ) }.
% 8.15/8.49  (21697) {G0,W12,D4,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Int_Oint, Y, c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, 
% 8.15/8.49    c_Groups_Oone__class_Oone( tc_Int_Oint ) ) ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ) }.
% 8.15/8.49  (21698) {G0,W12,D4,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone( 
% 8.15/8.49    tc_Int_Oint ) ) ) }.
% 8.15/8.49  (21699) {G0,W12,D4,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Int_Oint, c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, 
% 8.15/8.49    c_Groups_Oone__class_Oone( tc_Int_Oint ) ), X ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 8.15/8.49  (21700) {G0,W12,D4,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, c_Groups_Oone__class_Oone( 
% 8.15/8.49    tc_Int_Oint ) ), X ) }.
% 8.15/8.49  (21701) {G0,W14,D4,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Int_Oint, c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero( 
% 8.15/8.49    tc_Int_Oint ), c_Groups_Oplus__class_Oplus( tc_Int_Oint, 
% 8.15/8.49    c_Groups_Oone__class_Oone( tc_Int_Oint ), X ) ) }.
% 8.15/8.49  (21702) {G0,W12,D4,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, c_Groups_Oone__class_Oone( 
% 8.15/8.49    tc_Int_Oint ) ), X ) }.
% 8.15/8.49  (21703) {G0,W18,D3,L3,V4,M3}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Int_Oint, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, T
% 8.15/8.49    , Z ), c_Orderings_Oord__class_Oless( tc_Int_Oint, 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, T ), 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, Z ) ) }.
% 8.15/8.49  (21704) {G0,W8,D2,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint
% 8.15/8.49    , Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ) }.
% 8.15/8.49  (21705) {G0,W7,D2,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint
% 8.15/8.49    , Y, X ), ! Y = X }.
% 8.15/8.49  (21706) {G0,W11,D2,L3,V2,M3}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Int_Oint, Y, X ), Y = X, c_Orderings_Oord__class_Oless( tc_Int_Oint, Y
% 8.15/8.49    , X ) }.
% 8.15/8.49  (21707) {G0,W14,D3,L2,V3,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, Y ), 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, X ) ) }.
% 8.15/8.49  (21708) {G0,W8,D5,L1,V1,M1}  { hAPP( c_Transcendental_Oln, hAPP( 
% 8.15/8.49    c_Transcendental_Oexp( tc_RealDef_Oreal ), X ) ) = X }.
% 8.15/8.49  (21709) {G0,W11,D4,L2,V2,M2}  { ! hAPP( c_Transcendental_Oexp( 
% 8.15/8.49    tc_RealDef_Oreal ), Y ) = X, hAPP( c_Transcendental_Oln, X ) = Y }.
% 8.15/8.49  (21710) {G0,W11,D4,L2,V2,M2}  { ! hAPP( c_Transcendental_Oexp( 
% 8.15/8.49    tc_RealDef_Oreal ), Y ) = X, hAPP( c_Transcendental_Oln, X ) = Y }.
% 8.15/8.49  (21711) {G0,W11,D4,L3,V2,M3}  { ! class_RealVector_Oreal__normed__field( X
% 8.15/8.49     ), ! class_SEQ_Obanach( X ), ! hAPP( c_Transcendental_Oexp( X ), Y ) = 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( X ) }.
% 8.15/8.49  (21712) {G0,W13,D4,L3,V2,M3}  { ! class_RealVector_Oreal__normed__field( X
% 8.15/8.49     ), ! class_SEQ_Obanach( X ), c_Deriv_Oderiv( X, c_Transcendental_Oexp( X
% 8.15/8.49     ), Y, hAPP( c_Transcendental_Oexp( X ), Y ) ) }.
% 8.15/8.49  (21713) {G0,W13,D3,L3,V2,M3}  { ! class_Groups_Olinordered__ab__group__add
% 8.15/8.49    ( X ), ! c_Orderings_Oord__class_Oless__eq( X, 
% 8.15/8.49    c_Groups_Ouminus__class_Ouminus( X, Y ), Y ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 8.15/8.49     ) }.
% 8.15/8.49  (21714) {G0,W13,D3,L3,V2,M3}  { ! class_Groups_Olinordered__ab__group__add
% 8.15/8.49    ( X ), ! c_Orderings_Oord__class_Oless__eq( X, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless__eq
% 8.15/8.49    ( X, c_Groups_Ouminus__class_Ouminus( X, Y ), Y ) }.
% 8.15/8.49  (21715) {G0,W14,D3,L3,V2,M3}  { ! class_Groups_Oordered__ab__group__add( X
% 8.15/8.49     ), ! c_Orderings_Oord__class_Oless__eq( X, 
% 8.15/8.49    c_Groups_Ouminus__class_Ouminus( X, Y ), c_Groups_Ozero__class_Ozero( X )
% 8.15/8.49     ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 8.15/8.49     ), Y ) }.
% 8.15/8.49  (21716) {G0,W14,D3,L3,V2,M3}  { ! class_Groups_Oordered__ab__group__add( X
% 8.15/8.49     ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( 
% 8.15/8.49    X ), Y ), c_Orderings_Oord__class_Oless__eq( X, 
% 8.15/8.49    c_Groups_Ouminus__class_Ouminus( X, Y ), c_Groups_Ozero__class_Ozero( X )
% 8.15/8.49     ) }.
% 8.15/8.49  (21717) {G0,W13,D3,L3,V2,M3}  { ! class_Groups_Olinordered__ab__group__add
% 8.15/8.49    ( X ), ! c_Orderings_Oord__class_Oless__eq( X, Y, 
% 8.15/8.49    c_Groups_Ouminus__class_Ouminus( X, Y ) ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 8.15/8.49     ) }.
% 8.15/8.49  (21718) {G0,W13,D3,L3,V2,M3}  { ! class_Groups_Olinordered__ab__group__add
% 8.15/8.49    ( X ), ! c_Orderings_Oord__class_Oless__eq( X, Y, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 8.15/8.49    , Y, c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 8.15/8.49  (21719) {G0,W14,D3,L3,V2,M3}  { ! class_Groups_Oordered__ab__group__add( X
% 8.15/8.49     ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( 
% 8.15/8.49    X ), c_Groups_Ouminus__class_Ouminus( X, Y ) ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 8.15/8.49     ) }.
% 8.15/8.49  (21720) {G0,W14,D3,L3,V2,M3}  { ! class_Groups_Oordered__ab__group__add( X
% 8.15/8.49     ), ! c_Orderings_Oord__class_Oless__eq( X, Y, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 8.15/8.49    , c_Groups_Ozero__class_Ozero( X ), c_Groups_Ouminus__class_Ouminus( X, Y
% 8.15/8.49     ) ) }.
% 8.15/8.49  (21721) {G0,W13,D3,L3,V2,M3}  { ! class_Groups_Olinordered__ab__group__add
% 8.15/8.49    ( X ), ! c_Orderings_Oord__class_Oless( X, 
% 8.15/8.49    c_Groups_Ouminus__class_Ouminus( X, Y ), Y ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 8.15/8.49     }.
% 8.15/8.49  (21722) {G0,W13,D3,L3,V2,M3}  { ! class_Groups_Olinordered__ab__group__add
% 8.15/8.49    ( X ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X
% 8.15/8.49     ), Y ), c_Orderings_Oord__class_Oless( X, 
% 8.15/8.49    c_Groups_Ouminus__class_Ouminus( X, Y ), Y ) }.
% 8.15/8.49  (21723) {G0,W14,D3,L3,V2,M3}  { ! class_Groups_Oordered__ab__group__add( X
% 8.15/8.49     ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( 
% 8.15/8.49    X, Y ), c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 8.15/8.49    ( X, c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 8.15/8.49  (21724) {G0,W14,D3,L3,V2,M3}  { ! class_Groups_Oordered__ab__group__add( X
% 8.15/8.49     ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 8.15/8.49    , Y ), c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus
% 8.15/8.49    ( X, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 8.15/8.49  (21725) {G0,W14,D3,L3,V2,M3}  { ! class_Groups_Oordered__ab__group__add( X
% 8.15/8.49     ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 8.15/8.49    , c_Groups_Ouminus__class_Ouminus( X, Y ) ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 8.15/8.49     }.
% 8.15/8.49  (21726) {G0,W14,D3,L3,V2,M3}  { ! class_Groups_Oordered__ab__group__add( X
% 8.15/8.49     ), ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X
% 8.15/8.49     ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 8.15/8.49    , c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 8.15/8.49  (21727) {G0,W13,D3,L3,V2,M3}  { ! class_Rings_Olinordered__idom( X ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ouminus__class_Ouminus( X, 
% 8.15/8.49    Y ) ), c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( 
% 8.15/8.49    X ) ) }.
% 8.15/8.49  (21728) {G0,W13,D3,L3,V2,M3}  { ! class_Rings_Olinordered__idom( X ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ouminus__class_Ouminus( X, 
% 8.15/8.49    Y ) ) }.
% 8.15/8.49  (21729) {G0,W14,D3,L3,V3,M3}  { ! class_Groups_Ogroup__add( X ), ! 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( X, Z, Y ) = c_Groups_Ozero__class_Ozero( X )
% 8.15/8.49    , Y = c_Groups_Ouminus__class_Ouminus( X, Z ) }.
% 8.15/8.49  (21730) {G0,W14,D3,L3,V3,M3}  { ! class_Groups_Ogroup__add( X ), ! Y = 
% 8.15/8.49    c_Groups_Ouminus__class_Ouminus( X, Z ), c_Groups_Oplus__class_Oplus( X, 
% 8.15/8.49    Z, Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 8.15/8.49  (21731) {G0,W11,D4,L2,V2,M2}  { ! class_Groups_Ogroup__add( X ), 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( X, Y, c_Groups_Ouminus__class_Ouminus( X, Y
% 8.15/8.49     ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 8.15/8.49  (21732) {G0,W14,D3,L3,V3,M3}  { ! class_Groups_Ogroup__add( X ), ! Z = 
% 8.15/8.49    c_Groups_Ouminus__class_Ouminus( X, Y ), c_Groups_Oplus__class_Oplus( X, 
% 8.15/8.49    Z, Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 8.15/8.49  (21733) {G0,W14,D3,L3,V3,M3}  { ! class_Groups_Ogroup__add( X ), ! 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( X, Z, Y ) = c_Groups_Ozero__class_Ozero( X )
% 8.15/8.49    , Z = c_Groups_Ouminus__class_Ouminus( X, Y ) }.
% 8.15/8.49  (21734) {G0,W11,D4,L2,V2,M2}  { ! class_Groups_Ogroup__add( X ), 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( X, c_Groups_Ouminus__class_Ouminus( X, Y ), 
% 8.15/8.49    Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 8.15/8.49  (21735) {G0,W11,D4,L2,V2,M2}  { ! class_Groups_Oab__group__add( X ), 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( X, c_Groups_Ouminus__class_Ouminus( X, Y ), 
% 8.15/8.49    Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 8.15/8.49  (21736) {G0,W14,D3,L3,V3,M3}  { ! class_Groups_Ogroup__add( X ), ! 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( X, Z, Y ) = c_Groups_Ozero__class_Ozero( X )
% 8.15/8.49    , c_Groups_Ouminus__class_Ouminus( X, Z ) = Y }.
% 8.15/8.49  (21737) {G0,W14,D6,L2,V2,M2}  { ! class_Rings_Ocomm__ring__1( X ), 
% 8.15/8.49    c_Groups_Ouminus__class_Ouminus( X, Y ) = hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( X, c_Groups_Ouminus__class_Ouminus( X, 
% 8.15/8.49    c_Groups_Oone__class_Oone( X ) ) ), Y ) }.
% 8.15/8.49  (21738) {G0,W20,D4,L4,V2,M4}  { ! class_Rings_Oring__1__no__zero__divisors
% 8.15/8.49    ( X ), ! hAPP( c_Groups_Otimes__class_Otimes( X, Y ), Y ) = 
% 8.15/8.49    c_Groups_Oone__class_Oone( X ), Y = c_Groups_Oone__class_Oone( X ), Y = 
% 8.15/8.49    c_Groups_Ouminus__class_Ouminus( X, c_Groups_Oone__class_Oone( X ) ) }.
% 8.15/8.49  (21739) {G0,W14,D4,L3,V2,M3}  { ! class_Rings_Oring__1__no__zero__divisors
% 8.15/8.49    ( X ), ! Y = c_Groups_Oone__class_Oone( X ), hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( X, Y ), Y ) = c_Groups_Oone__class_Oone( X
% 8.15/8.49     ) }.
% 8.15/8.49  (21740) {G0,W16,D4,L3,V2,M3}  { ! class_Rings_Oring__1__no__zero__divisors
% 8.15/8.49    ( X ), ! Y = c_Groups_Ouminus__class_Ouminus( X, 
% 8.15/8.49    c_Groups_Oone__class_Oone( X ) ), hAPP( c_Groups_Otimes__class_Otimes( X
% 8.15/8.49    , Y ), Y ) = c_Groups_Oone__class_Oone( X ) }.
% 8.15/8.49  (21741) {G0,W19,D4,L3,V3,M3}  { ! class_Rings_Odivision__ring( X ), Y = 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, 
% 8.15/8.49    c_Groups_Ouminus__class_Ouminus( X, Z ), c_Groups_Ouminus__class_Ouminus
% 8.15/8.49    ( X, Y ) ) = c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 8.15/8.49  (21742) {G0,W19,D4,L3,V3,M3}  { ! class_Rings_Odivision__ring( X ), Y = 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( X ), c_Groups_Ouminus__class_Ouminus( X, 
% 8.15/8.49    c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) = 
% 8.15/8.49    c_Rings_Oinverse__class_Odivide( X, Z, c_Groups_Ouminus__class_Ouminus( X
% 8.15/8.49    , Y ) ) }.
% 8.15/8.49  (21743) {G0,W17,D4,L3,V2,M3}  { ! class_Rings_Odivision__ring( X ), Y = 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Oinverse( X, 
% 8.15/8.49    c_Groups_Ouminus__class_Ouminus( X, Y ) ) = 
% 8.15/8.49    c_Groups_Ouminus__class_Ouminus( X, c_Rings_Oinverse__class_Oinverse( X, 
% 8.15/8.49    Y ) ) }.
% 8.15/8.49  (21744) {G0,W14,D5,L1,V2,M1}  { c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, hAPP
% 8.15/8.49    ( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y ), Y ) ), hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X ), X ) ) }.
% 8.15/8.49  (21745) {G0,W12,D3,L2,V2,M2}  { ! c_Groups_Oplus__class_Oplus( 
% 8.15/8.49    tc_RealDef_Oreal, Y, X ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal
% 8.15/8.49     ), X = c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) }.
% 8.15/8.49  (21746) {G0,W12,D3,L2,V2,M2}  { ! X = c_Groups_Ouminus__class_Ouminus( 
% 8.15/8.49    tc_RealDef_Oreal, Y ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, 
% 8.15/8.49    X ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 8.15/8.49  (21747) {G0,W12,D4,L2,V2,M2}  { ! c_Groups_Oplus__class_Oplus( 
% 8.15/8.49    tc_RealDef_Oreal, Y, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X
% 8.15/8.49     ) ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y = X }.
% 8.15/8.49  (21748) {G0,W12,D4,L2,V2,M2}  { ! Y = X, c_Groups_Oplus__class_Oplus( 
% 8.15/8.49    tc_RealDef_Oreal, Y, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X
% 8.15/8.49     ) ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 8.15/8.49  (21749) {G0,W8,D4,L1,V1,M1}  { c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), hAPP( 
% 8.15/8.49    c_Transcendental_Oexp( tc_RealDef_Oreal ), X ) ) }.
% 8.15/8.49  (21750) {G0,W8,D4,L1,V1,M1}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_RealDef_Oreal, hAPP( c_Transcendental_Oexp( tc_RealDef_Oreal ), X ), 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 8.15/8.49  (21751) {G0,W8,D4,L1,V1,M1}  { c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), hAPP( 
% 8.15/8.49    c_Transcendental_Oexp( tc_RealDef_Oreal ), X ) ) }.
% 8.15/8.49  (21752) {G0,W8,D4,L1,V1,M1}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_RealDef_Oreal, hAPP( c_Transcendental_Oexp( tc_RealDef_Oreal ), X ), 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 8.15/8.49  (21753) {G0,W11,D4,L2,V1,M2}  { ! hAPP( c_Transcendental_Oexp( 
% 8.15/8.49    tc_RealDef_Oreal ), X ) = c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), 
% 8.15/8.49    X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 8.15/8.49  (21754) {G0,W11,D4,L2,V1,M2}  { ! X = c_Groups_Ozero__class_Ozero( 
% 8.15/8.49    tc_RealDef_Oreal ), hAPP( c_Transcendental_Oexp( tc_RealDef_Oreal ), X ) 
% 8.15/8.49    = c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 8.15/8.49  (21755) {G0,W12,D4,L3,V1,M3}  { ! class_RealVector_Oreal__normed__field( X
% 8.15/8.49     ), ! class_SEQ_Obanach( X ), hAPP( c_Transcendental_Oexp( X ), 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( X ) ) = c_Groups_Oone__class_Oone( X ) }.
% 8.15/8.49  (21756) {G0,W23,D6,L3,V3,M3}  { ! class_RealVector_Oreal__normed__field( X
% 8.15/8.49     ), ! class_SEQ_Obanach( X ), hAPP( c_Transcendental_Oexp( X ), 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( X, hAPP( c_Transcendental_Oexp( X ), Z ) )
% 8.15/8.49    , hAPP( c_Transcendental_Oexp( X ), Y ) ) }.
% 8.15/8.49  (21757) {G0,W23,D6,L3,V3,M3}  { ! class_RealVector_Oreal__normed__field( X
% 8.15/8.49     ), ! class_SEQ_Obanach( X ), hAPP( c_Groups_Otimes__class_Otimes( X, 
% 8.15/8.49    hAPP( c_Transcendental_Oexp( X ), Z ) ), hAPP( c_Transcendental_Oexp( X )
% 8.15/8.49    , Y ) ) = hAPP( c_Transcendental_Oexp( X ), c_Groups_Oplus__class_Oplus( 
% 8.15/8.49    X, Z, Y ) ) }.
% 8.15/8.49  (21758) {G0,W14,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ), 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, 
% 8.15/8.49    c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) ) }.
% 8.15/8.49  (21759) {G0,W14,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_RealDef_Oreal, X, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y
% 8.15/8.49     ) ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ), 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 8.15/8.49  (21760) {G0,W14,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ) ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 8.15/8.49    c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ), X ) }.
% 8.15/8.49  (21761) {G0,W14,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y )
% 8.15/8.49    , X ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ) ) }.
% 8.15/8.49  (21762) {G0,W14,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ), 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, 
% 8.15/8.49    c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) ) }.
% 8.15/8.49  (21763) {G0,W14,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_RealDef_Oreal, X, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y
% 8.15/8.49     ) ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ), 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 8.15/8.49  (21764) {G0,W14,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ) ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 8.15/8.49    c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ), X ) }.
% 8.15/8.49  (21765) {G0,W14,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y )
% 8.15/8.49    , X ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ) ) }.
% 8.15/8.49  (21766) {G0,W13,D4,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_RealDef_Oreal, hAPP( c_Transcendental_Oexp( tc_RealDef_Oreal ), X ), 
% 8.15/8.49    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 8.15/8.49  (21767) {G0,W13,D4,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_RealDef_Oreal, X, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, hAPP( 
% 8.15/8.49    c_Transcendental_Oexp( tc_RealDef_Oreal ), X ), c_Groups_Oone__class_Oone
% 8.15/8.49    ( tc_RealDef_Oreal ) ) }.
% 8.15/8.49  (21768) {G0,W13,D4,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_RealDef_Oreal, c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), hAPP( 
% 8.15/8.49    c_Transcendental_Oexp( tc_RealDef_Oreal ), X ) ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ) }.
% 8.15/8.49  (21769) {G0,W13,D4,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 8.15/8.49    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), hAPP( 
% 8.15/8.49    c_Transcendental_Oexp( tc_RealDef_Oreal ), X ) ) }.
% 8.15/8.49  (21770) {G0,W13,D4,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 8.15/8.49    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), hAPP( 
% 8.15/8.49    c_Transcendental_Oexp( tc_RealDef_Oreal ), X ) ) }.
% 8.15/8.49  (21771) {G0,W13,D4,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_RealDef_Oreal, hAPP( c_Transcendental_Oexp( tc_RealDef_Oreal ), X ), 
% 8.15/8.49    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 8.15/8.49  (21772) {G0,W13,D4,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_RealDef_Oreal, X, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, hAPP( 
% 8.15/8.49    c_Transcendental_Oexp( tc_RealDef_Oreal ), X ), c_Groups_Oone__class_Oone
% 8.15/8.49    ( tc_RealDef_Oreal ) ) }.
% 8.15/8.49  (21773) {G0,W13,D4,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_RealDef_Oreal, c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), hAPP( 
% 8.15/8.49    c_Transcendental_Oexp( tc_RealDef_Oreal ), X ) ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ) }.
% 8.15/8.49  (21774) {G0,W13,D4,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 8.15/8.49    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), hAPP( 
% 8.15/8.49    c_Transcendental_Oexp( tc_RealDef_Oreal ), X ) ) }.
% 8.15/8.49  (21775) {G0,W13,D4,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), 
% 8.15/8.49    hAPP( c_Transcendental_Oexp( tc_RealDef_Oreal ), hAPP( 
% 8.15/8.49    c_Transcendental_Oln, X ) ) = X }.
% 8.15/8.49  (21776) {G0,W13,D4,L2,V1,M2}  { ! hAPP( c_Transcendental_Oexp( 
% 8.15/8.49    tc_RealDef_Oreal ), hAPP( c_Transcendental_Oln, X ) ) = X, 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ) }.
% 8.15/8.49  (21777) {G0,W13,D4,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), 
% 8.15/8.49    hAPP( c_Transcendental_Oexp( tc_RealDef_Oreal ), hAPP( 
% 8.15/8.49    c_Transcendental_Oln, X ) ) = X }.
% 8.15/8.49  (21778) {G0,W15,D2,L4,V5,M4}  { ! class_RealVector_Oreal__normed__field( X
% 8.15/8.49     ), ! c_Deriv_Oderiv( X, T, Z, Y ), ! c_Deriv_Oderiv( X, T, Z, U ), Y = U
% 8.15/8.49     }.
% 8.15/8.49  (21779) {G0,W15,D2,L4,V5,M4}  { ! class_RealVector_Oreal__normed__field( X
% 8.15/8.49     ), ! c_Deriv_Oderiv( X, T, Z, Y ), ! Y = U, c_Deriv_Oderiv( X, T, Z, U )
% 8.15/8.49     }.
% 8.15/8.49  (21780) {G0,W15,D2,L4,V5,M4}  { ! class_RealVector_Oreal__normed__field( X
% 8.15/8.49     ), ! c_Deriv_Oderiv( X, T, Z, Y ), ! Y = U, c_Deriv_Oderiv( X, T, Z, U )
% 8.15/8.49     }.
% 8.15/8.49  (21781) {G0,W12,D3,L3,V2,M3}  { ! class_Groups_Osgn__if( X ), ! Y = 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( X ), c_Groups_Osgn__class_Osgn( X, Y ) = 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( X ) }.
% 8.15/8.49  (21782) {G0,W17,D3,L4,V2,M4}  { ! class_Groups_Osgn__if( X ), Y = 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( X ), ! c_Orderings_Oord__class_Oless( X, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( X ), Y ), c_Groups_Osgn__class_Osgn( X, Y ) 
% 8.15/8.49    = c_Groups_Oone__class_Oone( X ) }.
% 8.15/8.49  (21783) {G0,W19,D4,L4,V2,M4}  { ! class_Groups_Osgn__if( X ), Y = 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless( X, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( X ), Y ), c_Groups_Osgn__class_Osgn( X, Y ) 
% 8.15/8.49    = c_Groups_Ouminus__class_Ouminus( X, c_Groups_Oone__class_Oone( X ) )
% 8.15/8.49     }.
% 8.15/8.49  (21784) {G0,W15,D4,L3,V2,M3}  { ! class_Rings_Olinordered__idom( X ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ), 
% 8.15/8.49    c_Groups_Osgn__class_Osgn( X, Y ) = c_Groups_Ouminus__class_Ouminus( X, 
% 8.15/8.49    c_Groups_Oone__class_Oone( X ) ) }.
% 8.15/8.49  (21785) {G0,W15,D4,L3,V2,M3}  { ! class_Rings_Olinordered__idom( X ), ! 
% 8.15/8.49    c_Groups_Osgn__class_Osgn( X, Y ) = c_Groups_Ouminus__class_Ouminus( X, 
% 8.15/8.49    c_Groups_Oone__class_Oone( X ) ), c_Orderings_Oord__class_Oless( X, Y, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( X ) ) }.
% 8.15/8.49  (21786) {G0,W15,D4,L3,V2,M3}  { ! class_Rings_Olinordered__idom( X ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ), 
% 8.15/8.49    c_Groups_Osgn__class_Osgn( X, Y ) = c_Groups_Ouminus__class_Ouminus( X, 
% 8.15/8.49    c_Groups_Oone__class_Oone( X ) ) }.
% 8.15/8.49  (21787) {G0,W16,D4,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), 
% 8.15/8.49    hAPP( c_Transcendental_Oln, c_Rings_Oinverse__class_Oinverse( 
% 8.15/8.49    tc_RealDef_Oreal, X ) ) = c_Groups_Ouminus__class_Ouminus( 
% 8.15/8.49    tc_RealDef_Oreal, hAPP( c_Transcendental_Oln, X ) ) }.
% 8.15/8.49  (21788) {G0,W51,D5,L7,V6,M7}  { ! c_Groups_Oplus__class_Oplus( tc_Int_Oint
% 8.15/8.49    , hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint, W ), U ), T ) = 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_Int_Oint, hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z ), Y ), X ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus( 
% 8.15/8.49    tc_Int_Oint, hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z ), Y ), 
% 8.15/8.49    X ), c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Int_Oint, T, W ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero( 
% 8.15/8.49    tc_Int_Oint ), Z ), ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Z, 
% 8.15/8.49    W ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, U ) }.
% 8.15/8.49  (21789) {G0,W35,D5,L5,V5,M5}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Int_Oint, c_Groups_Oplus__class_Oplus( tc_Int_Oint, hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Int_Oint, U ), T ), Z ), 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_Int_Oint, hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Int_Oint, U ), Y ), X ) ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Int_Oint, U, X ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Int_Oint, U, Z ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, T ) }.
% 8.15/8.49  (21790) {G0,W51,D5,L7,V6,M7}  { ! c_Groups_Oplus__class_Oplus( tc_Int_Oint
% 8.15/8.49    , hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint, W ), U ), T ) = 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_Int_Oint, hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z ), Y ), X ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Oplus__class_Oplus( 
% 8.15/8.49    tc_Int_Oint, hAPP( c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z ), Y ), 
% 8.15/8.49    X ) ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X, Z ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_Int_Oint ), T ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero( 
% 8.15/8.49    tc_Int_Oint ), Z ), ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Z, 
% 8.15/8.49    W ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, U, Y ) }.
% 8.15/8.49  (21791) {G0,W35,D5,L5,V5,M5}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Int_Oint, c_Groups_Oplus__class_Oplus( tc_Int_Oint, hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Int_Oint, U ), T ), Z ), 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_Int_Oint, hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Int_Oint, U ), Y ), X ) ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Z ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, U ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Int_Oint, X, U ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, T, Y ) }.
% 8.15/8.49  (21792) {G0,W11,D4,L1,V1,M1}  { c_Groups_Ouminus__class_Ouminus( 
% 8.15/8.49    tc_Int_Oint, c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) = 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Int_Oint, 
% 8.15/8.49    c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) }.
% 8.15/8.49  (21793) {G0,W7,D4,L1,V0,M1}  { c_Groups_Ouminus__class_Ouminus( tc_Int_Oint
% 8.15/8.49    , c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) = 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 8.15/8.49  (21794) {G0,W7,D4,L1,V1,M1}  { c_Groups_Ouminus__class_Ouminus( tc_Int_Oint
% 8.15/8.49    , c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) = X }.
% 8.15/8.49  (21795) {G0,W15,D5,L1,V2,M1}  { hAPP( c_Groups_Otimes__class_Otimes( 
% 8.15/8.49    tc_Int_Oint, c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y ) ), X ) = 
% 8.15/8.49    c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y ), X ) ) }.
% 8.15/8.49  (21796) {G0,W10,D3,L2,V1,M2}  { ! X = c_Groups_Ozero__class_Ozero( 
% 8.15/8.49    tc_Int_Oint ), c_Groups_Osgn__class_Osgn( tc_Int_Oint, X ) = 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 8.15/8.49  (21797) {G0,W15,D3,L3,V1,M3}  { X = c_Groups_Ozero__class_Ozero( 
% 8.15/8.49    tc_Int_Oint ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), 
% 8.15/8.49    c_Groups_Osgn__class_Osgn( tc_Int_Oint, X ) = c_Groups_Oone__class_Oone( 
% 8.15/8.49    tc_Int_Oint ) }.
% 8.15/8.49  (21798) {G0,W17,D4,L3,V1,M3}  { X = c_Groups_Ozero__class_Ozero( 
% 8.15/8.49    tc_Int_Oint ), c_Orderings_Oord__class_Oless( tc_Int_Oint, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), 
% 8.15/8.49    c_Groups_Osgn__class_Osgn( tc_Int_Oint, X ) = 
% 8.15/8.49    c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Groups_Oone__class_Oone( 
% 8.15/8.49    tc_Int_Oint ) ) }.
% 8.15/8.49  (21799) {G0,W9,D4,L1,V1,M1}  { c_Groups_Oplus__class_Oplus( tc_Int_Oint, 
% 8.15/8.49    c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ), X ) = 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 8.15/8.49  (21800) {G0,W15,D4,L1,V2,M1}  { c_Groups_Ouminus__class_Ouminus( 
% 8.15/8.49    tc_Int_Oint, c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) = 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Ouminus__class_Ouminus
% 8.15/8.49    ( tc_Int_Oint, Y ), c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) )
% 8.15/8.49     }.
% 8.15/8.49  (21801) {G0,W5,D3,L1,V0,M1}  { ! c_Groups_Ozero__class_Ozero( tc_Int_Oint )
% 8.15/8.49     = c_Groups_Oone__class_Oone( tc_Int_Oint ) }.
% 8.15/8.49  (21802) {G0,W5,D3,L1,V1,M1}  { c_Int_Onumber__class_Onumber__of( 
% 8.15/8.49    tc_Int_Oint, X ) = X }.
% 8.15/8.49  (21803) {G0,W25,D5,L4,V3,M4}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Int_Oint, c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), ! X = 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Int_Oint, X ), Y ) ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Z ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, 
% 8.15/8.49    c_Groups_Oone__class_Oone( tc_Int_Oint ) ) }.
% 8.15/8.49  (21804) {G0,W24,D5,L4,V3,M4}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Int_Oint, c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), ! X = 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Int_Oint, X ), Y ) ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, X ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Groups_Oone__class_Oone
% 8.15/8.49    ( tc_Int_Oint ), Y ) }.
% 8.15/8.49  (21805) {G0,W26,D5,L4,V3,M4}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Int_Oint, c_Groups_Ozero__class_Ozero( tc_Int_Oint ), 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_Int_Oint, hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z ), Y ), X ) ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Int_Oint, X, Z ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero( 
% 8.15/8.49    tc_Int_Oint ), Z ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ) }.
% 8.15/8.49  (21806) {G0,W27,D5,L4,V3,M4}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Int_Oint, c_Groups_Oplus__class_Oplus( tc_Int_Oint, hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z ), Y ), X ), 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero( 
% 8.15/8.49    tc_Int_Oint ), Z ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 8.15/8.49  (21807) {G0,W19,D4,L3,V2,M3}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Int_Oint, c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_Int_Oint ), hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Int_Oint, X ), Y ) ) }.
% 8.15/8.49  (21808) {G0,W18,D3,L3,V2,M3}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Int_Oint, c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Oplus__class_Oplus( 
% 8.15/8.49    tc_Int_Oint, X, Y ) ) }.
% 8.15/8.49  (21809) {G0,W6,D3,L1,V0,M1}  { c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Int_Oint, c_Groups_Ozero__class_Ozero( tc_Int_Oint ), 
% 8.15/8.49    c_Groups_Oone__class_Oone( tc_Int_Oint ) ) }.
% 8.15/8.49  (21810) {G0,W6,D3,L1,V0,M1}  { c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Int_Oint, c_Groups_Ozero__class_Ozero( tc_Int_Oint ), 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 8.15/8.49  (21811) {G0,W19,D5,L3,V3,M3}  { ! class_Int_Onumber__ring( X ), ! 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( X, Z ) = 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( X, Y ), c_Int_Oiszero( X, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus( 
% 8.15/8.49    tc_Int_Oint, Z, c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y ) ) ) )
% 8.15/8.49     }.
% 8.15/8.49  (21812) {G0,W19,D5,L3,V3,M3}  { ! class_Int_Onumber__ring( X ), ! 
% 8.15/8.49    c_Int_Oiszero( X, c_Int_Onumber__class_Onumber__of( X, 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, 
% 8.15/8.49    c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y ) ) ) ), 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( X, Z ) = 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( X, Y ) }.
% 8.15/8.49  (21813) {G0,W17,D3,L3,V5,M3}  { ! c_Deriv_Oderiv( tc_RealDef_Oreal, Z, Y, X
% 8.15/8.49     ), ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol7( T, U ) ) }.
% 8.15/8.49  (21814) {G0,W32,D4,L5,V4,M5}  { ! c_Deriv_Oderiv( tc_RealDef_Oreal, Z, Y, X
% 8.15/8.49     ), ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), T ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, T, skol7( Y, Z ) ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, hAPP( Z, Y ), hAPP( Z, 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, T ) ) ) }.
% 8.15/8.49  (21815) {G0,W17,D3,L3,V5,M3}  { ! c_Deriv_Oderiv( tc_RealDef_Oreal, Z, Y, X
% 8.15/8.49     ), ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol8( T, U ) ) }.
% 8.15/8.49  (21816) {G0,W32,D4,L5,V4,M5}  { ! c_Deriv_Oderiv( tc_RealDef_Oreal, Z, Y, X
% 8.15/8.49     ), ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), T ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, T, skol8( Y, Z ) ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, hAPP( Z, 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, T ) ), hAPP( Z, Y ) )
% 8.15/8.49     }.
% 8.15/8.49  (21817) {G0,W9,D3,L3,V2,M3}  { ! class_Rings_Osemiring__1( X ), ! 
% 8.15/8.49    c_Int_Oiszero( X, Y ), Y = c_Groups_Ozero__class_Ozero( X ) }.
% 8.15/8.49  (21818) {G0,W9,D3,L3,V2,M3}  { ! class_Rings_Osemiring__1( X ), ! Y = 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( X ), c_Int_Oiszero( X, Y ) }.
% 8.15/8.49  (21819) {G0,W6,D3,L2,V1,M2}  { ! class_Rings_Osemiring__1( X ), 
% 8.15/8.49    c_Int_Oiszero( X, c_Groups_Ozero__class_Ozero( X ) ) }.
% 8.15/8.49  (21820) {G0,W6,D3,L2,V1,M2}  { ! class_Rings_Osemiring__1( X ), ! 
% 8.15/8.49    c_Int_Oiszero( X, c_Groups_Oone__class_Oone( X ) ) }.
% 8.15/8.49  (21821) {G0,W18,D5,L3,V2,M3}  { ! class_Int_Onumber__ring( X ), ! 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( X, Y ) = c_Groups_Ozero__class_Ozero( X
% 8.15/8.49     ), c_Int_Oiszero( X, c_Int_Onumber__class_Onumber__of( X, 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, 
% 8.15/8.49    c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Int_OPls ) ) ) ) }.
% 8.15/8.49  (21822) {G0,W18,D5,L3,V2,M3}  { ! class_Int_Onumber__ring( X ), ! 
% 8.15/8.49    c_Int_Oiszero( X, c_Int_Onumber__class_Onumber__of( X, 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, 
% 8.15/8.49    c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Int_OPls ) ) ) ), 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( X, Y ) = c_Groups_Ozero__class_Ozero( X
% 8.15/8.49     ) }.
% 8.15/8.49  (21823) {G0,W18,D5,L3,V2,M3}  { ! class_Int_Onumber__ring( X ), ! 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( X ) = c_Int_Onumber__class_Onumber__of( X, Y
% 8.15/8.49     ), c_Int_Oiszero( X, c_Int_Onumber__class_Onumber__of( X, 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OPls, 
% 8.15/8.49    c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y ) ) ) ) }.
% 8.15/8.49  (21824) {G0,W18,D5,L3,V2,M3}  { ! class_Int_Onumber__ring( X ), ! 
% 8.15/8.49    c_Int_Oiszero( X, c_Int_Onumber__class_Onumber__of( X, 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OPls, 
% 8.15/8.49    c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y ) ) ) ), 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( X ) = c_Int_Onumber__class_Onumber__of( X, Y
% 8.15/8.49     ) }.
% 8.15/8.49  (21825) {G0,W16,D5,L2,V2,M2}  { ! class_Int_Onumber__ring( X ), 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( X, c_Int_Opred( Y ) ) = 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( X, c_Groups_Ouminus__class_Ouminus( X, 
% 8.15/8.49    c_Groups_Oone__class_Oone( X ) ), c_Int_Onumber__class_Onumber__of( X, Y
% 8.15/8.49     ) ) }.
% 8.15/8.49  (21826) {G0,W11,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Nat_Onat, c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ), 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ), alpha28( X, Y ) }.
% 8.15/8.49  (21827) {G0,W12,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Nat_Onat, c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ), 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 8.15/8.49  (21828) {G0,W15,D3,L3,V2,M3}  { ! alpha28( X, Y ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Nat_Onat, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ), 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) }.
% 8.15/8.49  (21829) {G0,W11,D2,L3,V2,M3}  { ! alpha28( X, Y ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ) }.
% 8.15/8.49  (21830) {G0,W7,D2,L2,V2,M2}  { c_Orderings_Oord__class_Oless( tc_Int_Oint, 
% 8.15/8.49    Y, X ), alpha28( X, Y ) }.
% 8.15/8.49  (21831) {G0,W7,D2,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint
% 8.15/8.49    , c_Int_OPls, X ), alpha28( X, Y ) }.
% 8.15/8.49  (21832) {G0,W11,D3,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ) }.
% 8.15/8.49  (21833) {G0,W11,D3,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Int_Oint, c_Int_OPls, X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 8.15/8.49    , c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) }.
% 8.15/8.49  (21834) {G0,W10,D3,L2,V1,M2}  { ! c_Groups_Ozero__class_Ozero( tc_Nat_Onat
% 8.15/8.49     ) = c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ) }.
% 8.15/8.49  (21835) {G0,W10,D3,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Int_Oint, X, c_Int_OPls ), c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) 
% 8.15/8.49    = c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) }.
% 8.15/8.49  (21836) {G0,W10,D3,L2,V1,M2}  { ! c_Int_Onumber__class_Onumber__of( 
% 8.15/8.49    tc_Nat_Onat, X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ) }.
% 8.15/8.49  (21837) {G0,W10,D3,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Int_Oint, X, c_Int_OPls ), c_Int_Onumber__class_Onumber__of( 
% 8.15/8.49    tc_Nat_Onat, X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 8.15/8.49  (21838) {G0,W16,D3,L3,V2,M3}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Nat_Onat, c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ), 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OPls ) }.
% 8.15/8.49  (21839) {G0,W12,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ), 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) }.
% 8.15/8.49  (21840) {G0,W12,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Int_Oint, Y, c_Int_OPls ), c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Nat_Onat, c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ), 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) }.
% 8.15/8.49  (21841) {G0,W5,D3,L1,V0,M1}  { c_Groups_Ouminus__class_Ouminus( tc_Int_Oint
% 8.15/8.49    , c_Int_OPls ) = c_Int_OPls }.
% 8.15/8.49  (21842) {G0,W4,D3,L1,V0,M1}  { c_Int_OPls = c_Groups_Ozero__class_Ozero( 
% 8.15/8.49    tc_Int_Oint ) }.
% 8.15/8.49  (21843) {G0,W6,D3,L1,V0,M1}  { c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) =
% 8.15/8.49     c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OPls ) }.
% 8.15/8.49  (21844) {G0,W6,D3,L1,V0,M1}  { c_Int_Onumber__class_Onumber__of( 
% 8.15/8.49    tc_Nat_Onat, c_Int_OPls ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat )
% 8.15/8.49     }.
% 8.15/8.49  (21845) {G0,W6,D3,L1,V1,M1}  { c_Groups_Oplus__class_Oplus( tc_Int_Oint, X
% 8.15/8.49    , c_Int_OPls ) = X }.
% 8.15/8.49  (21846) {G0,W6,D3,L1,V1,M1}  { c_Groups_Oplus__class_Oplus( tc_Int_Oint, 
% 8.15/8.49    c_Int_OPls, X ) = X }.
% 8.15/8.49  (21847) {G0,W4,D2,L1,V0,M1}  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint
% 8.15/8.49    , c_Int_OPls, c_Int_OPls ) }.
% 8.15/8.49  (21848) {G0,W7,D4,L1,V1,M1}  { hAPP( c_Groups_Otimes__class_Otimes( 
% 8.15/8.49    tc_Int_Oint, c_Int_OPls ), X ) = c_Int_OPls }.
% 8.15/8.49  (21849) {G0,W4,D2,L1,V0,M1}  { c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Int_Oint, c_Int_OPls, c_Int_OPls ) }.
% 8.15/8.49  (21850) {G0,W5,D4,L1,V1,M1}  { c_Int_Osucc( c_Int_Opred( X ) ) = X }.
% 8.15/8.49  (21851) {G0,W8,D3,L2,V1,M2}  { ! class_Int_Onumber__ring( X ), 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( X ) = c_Int_Onumber__class_Onumber__of( X, 
% 8.15/8.49    c_Int_OPls ) }.
% 8.15/8.49  (21852) {G0,W8,D3,L2,V1,M2}  { ! class_Int_Onumber__ring( X ), 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( X, c_Int_OPls ) = 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( X ) }.
% 8.15/8.49  (21853) {G0,W10,D4,L2,V2,M2}  { ! class_Int_Onumber__ring( X ), 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( X, Y, c_Int_Onumber__class_Onumber__of( X, 
% 8.15/8.49    c_Int_OPls ) ) = Y }.
% 8.15/8.49  (21854) {G0,W10,D4,L2,V2,M2}  { ! class_Int_Onumber__ring( X ), 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( X, c_Int_Onumber__class_Onumber__of( X, 
% 8.15/8.49    c_Int_OPls ), Y ) = Y }.
% 8.15/8.49  (21855) {G0,W5,D3,L1,V0,M1}  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint
% 8.15/8.49    , c_Int_OPls, c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 8.15/8.49  (21856) {G0,W6,D3,L1,V0,M1}  { c_Groups_Ozero__class_Ozero( tc_Int_Oint ) =
% 8.15/8.49     c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OPls ) }.
% 8.15/8.49  (21857) {G0,W16,D4,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Int_Oint, Y, c_Int_OPls ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ), 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) = 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) }.
% 8.15/8.49  (21858) {G0,W20,D4,L3,V2,M3}  { c_Orderings_Oord__class_Oless( tc_Int_Oint
% 8.15/8.49    , Y, c_Int_OPls ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X, 
% 8.15/8.49    c_Int_OPls ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ), 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) = 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ) }.
% 8.15/8.49  (21859) {G0,W23,D4,L3,V2,M3}  { c_Orderings_Oord__class_Oless( tc_Int_Oint
% 8.15/8.49    , Y, c_Int_OPls ), c_Orderings_Oord__class_Oless( tc_Int_Oint, X, 
% 8.15/8.49    c_Int_OPls ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ), 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) = 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }.
% 8.15/8.49  (21860) {G0,W20,D6,L2,V3,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Int_Oint, Z, c_Int_OPls ), hAPP( c_Groups_Otimes__class_Otimes( 
% 8.15/8.49    tc_Nat_Onat, c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Z ) ), hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ) ), X ) ) = 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 8.15/8.49  (21861) {G0,W29,D7,L2,V3,M2}  { c_Orderings_Oord__class_Oless( tc_Int_Oint
% 8.15/8.49    , Z, c_Int_OPls ), hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Z ) ), hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ) ), X ) ) = hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z ), Y ) ) ), X ) }.
% 8.15/8.49  (21862) {G0,W16,D5,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Int_Oint, Y, c_Int_OPls ), hAPP( c_Groups_Otimes__class_Otimes( 
% 8.15/8.49    tc_Nat_Onat, c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ) ), 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) = 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 8.15/8.49  (21863) {G0,W21,D5,L2,V2,M2}  { c_Orderings_Oord__class_Oless( tc_Int_Oint
% 8.15/8.49    , Y, c_Int_OPls ), hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ) ), 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) = 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y ), X ) ) }.
% 8.15/8.49  (21864) {G0,W7,D3,L2,V1,M2}  { ! class_Int_Onumber__ring( X ), 
% 8.15/8.49    c_Int_Oiszero( X, c_Int_Onumber__class_Onumber__of( X, c_Int_OPls ) ) }.
% 8.15/8.49  (21865) {G0,W14,D4,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Int_Oint, X, c_Int_OPls ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, 
% 8.15/8.49    c_Groups_Oone__class_Oone( tc_Nat_Onat ), 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) = 
% 8.15/8.49    c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 8.15/8.49  (21866) {G0,W16,D4,L2,V1,M2}  { c_Orderings_Oord__class_Oless( tc_Int_Oint
% 8.15/8.49    , X, c_Int_OPls ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, 
% 8.15/8.49    c_Groups_Oone__class_Oone( tc_Nat_Onat ), 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) = 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_Osucc( X ) ) }.
% 8.15/8.49  (21867) {G0,W14,D4,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Int_Oint, X, c_Int_OPls ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ), 
% 8.15/8.49    c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) = c_Groups_Oone__class_Oone( 
% 8.15/8.49    tc_Nat_Onat ) }.
% 8.15/8.49  (21868) {G0,W16,D4,L2,V1,M2}  { c_Orderings_Oord__class_Oless( tc_Int_Oint
% 8.15/8.49    , X, c_Int_OPls ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ), 
% 8.15/8.49    c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) = 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_Osucc( X ) ) }.
% 8.15/8.49  (21869) {G0,W9,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless( tc_Int_Oint, 
% 8.15/8.49    c_Int_Opred( Y ), X ) }.
% 8.15/8.49  (21870) {G0,W9,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint
% 8.15/8.49    , c_Int_Opred( Y ), X ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, 
% 8.15/8.49    Y, X ) }.
% 8.15/8.49  (21871) {G0,W13,D4,L3,V2,M3}  { ! class_Fields_Ofield__inverse__zero( X ), 
% 8.15/8.49    ! class_Int_Onumber__ring( X ), c_Rings_Oinverse__class_Odivide( X, Y, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( X, c_Int_OPls ) ) = 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( X ) }.
% 8.15/8.49  (21872) {G0,W15,D3,L4,V2,M4}  { ! class_Int_Onumber__ring( X ), ! 
% 8.15/8.49    class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    X, c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X
% 8.15/8.49    , Y ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, Y )
% 8.15/8.49     }.
% 8.15/8.49  (21873) {G0,W15,D3,L4,V2,M4}  { ! class_Int_Onumber__ring( X ), ! 
% 8.15/8.49    class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Int_Oint, c_Int_OPls, Y ), c_Orderings_Oord__class_Oless__eq( X, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 8.15/8.49     ) ) }.
% 8.15/8.49  (21874) {G0,W15,D3,L4,V2,M4}  { ! class_Int_Onumber__ring( X ), ! 
% 8.15/8.49    class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    X, c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Ozero__class_Ozero
% 8.15/8.49    ( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OPls )
% 8.15/8.49     }.
% 8.15/8.49  (21875) {G0,W15,D3,L4,V2,M4}  { ! class_Int_Onumber__ring( X ), ! 
% 8.15/8.49    class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Int_Oint, Y, c_Int_OPls ), c_Orderings_Oord__class_Oless__eq( X, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Ozero__class_Ozero( X
% 8.15/8.49     ) ) }.
% 8.15/8.49  (21876) {G0,W15,D3,L4,V2,M4}  { ! class_Int_Onumber__ring( X ), ! 
% 8.15/8.49    class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 8.15/8.49     ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, Y ) }.
% 8.15/8.49  (21877) {G0,W15,D3,L4,V2,M4}  { ! class_Int_Onumber__ring( X ), ! 
% 8.15/8.49    class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Int_Oint, c_Int_OPls, Y ), c_Orderings_Oord__class_Oless( X, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 8.15/8.49     ) ) }.
% 8.15/8.49  (21878) {G0,W15,D3,L4,V2,M4}  { ! class_Int_Onumber__ring( X ), ! 
% 8.15/8.49    class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Ozero__class_Ozero( X
% 8.15/8.49     ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ) }.
% 8.15/8.49  (21879) {G0,W15,D3,L4,V2,M4}  { ! class_Int_Onumber__ring( X ), ! 
% 8.15/8.49    class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Int_Oint, Y, c_Int_OPls ), c_Orderings_Oord__class_Oless( X, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Ozero__class_Ozero( X
% 8.15/8.49     ) ) }.
% 8.15/8.49  (21880) {G0,W7,D3,L1,V0,M1}  { c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Int_Oint, c_Groups_Ozero__class_Ozero( tc_Int_Oint ), 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OPls ) ) }.
% 8.15/8.49  (21881) {G0,W19,D6,L3,V2,M3}  { ! class_Int_Onumber__ring( X ), ! 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( X, Y ) = c_Groups_Oone__class_Oone( X )
% 8.15/8.49    , c_Int_Oiszero( X, c_Int_Onumber__class_Onumber__of( X, 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, 
% 8.15/8.49    c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Int_OBit1( c_Int_OPls ) )
% 8.15/8.49     ) ) ) }.
% 8.15/8.49  (21882) {G0,W19,D6,L3,V2,M3}  { ! class_Int_Onumber__ring( X ), ! 
% 8.15/8.49    c_Int_Oiszero( X, c_Int_Onumber__class_Onumber__of( X, 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, 
% 8.15/8.49    c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Int_OBit1( c_Int_OPls ) )
% 8.15/8.49     ) ) ), c_Int_Onumber__class_Onumber__of( X, Y ) = 
% 8.15/8.49    c_Groups_Oone__class_Oone( X ) }.
% 8.15/8.49  (21883) {G0,W19,D5,L3,V2,M3}  { ! class_Int_Onumber__ring( X ), ! 
% 8.15/8.49    c_Groups_Oone__class_Oone( X ) = c_Int_Onumber__class_Onumber__of( X, Y )
% 8.15/8.49    , c_Int_Oiszero( X, c_Int_Onumber__class_Onumber__of( X, 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), 
% 8.15/8.49    c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y ) ) ) ) }.
% 8.15/8.49  (21884) {G0,W19,D5,L3,V2,M3}  { ! class_Int_Onumber__ring( X ), ! 
% 8.15/8.49    c_Int_Oiszero( X, c_Int_Onumber__class_Onumber__of( X, 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), 
% 8.15/8.49    c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y ) ) ) ), 
% 8.15/8.49    c_Groups_Oone__class_Oone( X ) = c_Int_Onumber__class_Onumber__of( X, Y )
% 8.15/8.49     }.
% 8.15/8.49  (21885) {G0,W7,D4,L1,V0,M1}  { c_Groups_Oone__class_Oone( tc_Nat_Onat ) = 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1( c_Int_OPls )
% 8.15/8.49     ) }.
% 8.15/8.49  (21886) {G0,W7,D4,L1,V0,M1}  { c_Int_Onumber__class_Onumber__of( 
% 8.15/8.49    tc_Nat_Onat, c_Int_OBit1( c_Int_OPls ) ) = c_Groups_Oone__class_Oone( 
% 8.15/8.49    tc_Nat_Onat ) }.
% 8.15/8.49  (21887) {G0,W4,D3,L1,V1,M1}  { ! c_Int_OPls = c_Int_OBit1( X ) }.
% 8.15/8.49  (21888) {G0,W4,D3,L1,V1,M1}  { ! c_Int_OBit1( X ) = c_Int_OPls }.
% 8.15/8.49  (21889) {G0,W10,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit1( X ) ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ) }.
% 8.15/8.49  (21890) {G0,W10,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, 
% 8.15/8.49    c_Int_OBit1( Y ), c_Int_OBit1( X ) ) }.
% 8.15/8.49  (21891) {G0,W10,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit1( X ) ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ) }.
% 8.15/8.49  (21892) {G0,W10,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, 
% 8.15/8.49    c_Int_OBit1( Y ), c_Int_OBit1( X ) ) }.
% 8.15/8.49  (21893) {G0,W10,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit1( X ) ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 8.15/8.49  (21894) {G0,W10,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless( tc_Int_Oint, 
% 8.15/8.49    c_Int_OBit1( Y ), c_Int_OBit1( X ) ) }.
% 8.15/8.49  (21895) {G0,W10,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit1( X ) ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 8.15/8.49  (21896) {G0,W10,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless( tc_Int_Oint, 
% 8.15/8.49    c_Int_OBit1( Y ), c_Int_OBit1( X ) ) }.
% 8.15/8.49  (21897) {G0,W8,D3,L2,V2,M2}  { ! c_Int_OBit1( Y ) = c_Int_OBit1( X ), Y = X
% 8.15/8.49     }.
% 8.15/8.49  (21898) {G0,W8,D3,L2,V2,M2}  { ! Y = X, c_Int_OBit1( Y ) = c_Int_OBit1( X )
% 8.15/8.49     }.
% 8.15/8.49  (21899) {G0,W9,D3,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Int_Oint, c_Int_OPls, c_Int_OBit1( X ) ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X ) }.
% 8.15/8.49  (21900) {G0,W9,D3,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Int_Oint, c_Int_OPls, X ), c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Int_Oint, c_Int_OPls, c_Int_OBit1( X ) ) }.
% 8.15/8.49  (21901) {G0,W11,D3,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Int_Oint, c_Int_OBit1( X ), c_Groups_Ozero__class_Ozero( tc_Int_Oint )
% 8.15/8.49     ), c_Orderings_Oord__class_Oless( tc_Int_Oint, X, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 8.15/8.49  (21902) {G0,W11,D3,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Int_Oint, X, c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( X ), 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 8.15/8.49  (21903) {G0,W9,D3,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint
% 8.15/8.49    , c_Int_OBit1( X ), c_Int_OPls ), c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Int_Oint, X, c_Int_OPls ) }.
% 8.15/8.49  (21904) {G0,W9,D3,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint
% 8.15/8.49    , X, c_Int_OPls ), c_Orderings_Oord__class_Oless( tc_Int_Oint, 
% 8.15/8.49    c_Int_OBit1( X ), c_Int_OPls ) }.
% 8.15/8.49  (21905) {G0,W11,D5,L1,V1,M1}  { c_Int_OBit1( X ) = 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Oplus__class_Oplus( 
% 8.15/8.49    tc_Int_Oint, c_Groups_Oone__class_Oone( tc_Int_Oint ), X ), X ) }.
% 8.15/8.49  (21906) {G0,W10,D5,L1,V1,M1}  { c_Groups_Ouminus__class_Ouminus( 
% 8.15/8.49    tc_Int_Oint, c_Int_OBit1( X ) ) = c_Int_OBit1( c_Int_Opred( 
% 8.15/8.49    c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) ) }.
% 8.15/8.49  (21907) {G0,W10,D4,L3,V2,M3}  { ! class_Int_Onumber__ring( X ), ! 
% 8.15/8.49    class_Int_Oring__char__0( X ), ! c_Int_Oiszero( X, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( X, c_Int_OBit1( Y ) ) ) }.
% 8.15/8.49  (21908) {G0,W5,D3,L1,V0,M1}  { c_Int_Osucc( c_Int_OPls ) = c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) }.
% 8.15/8.49  (21909) {G0,W19,D5,L2,V2,M2}  { ! class_Int_Onumber__ring( X ), 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( X, c_Int_OBit1( Y ) ) = 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( X, c_Groups_Oplus__class_Oplus( X, 
% 8.15/8.49    c_Groups_Oone__class_Oone( X ), c_Int_Onumber__class_Onumber__of( X, Y )
% 8.15/8.49     ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 8.15/8.49  (21910) {G0,W12,D6,L2,V2,M2}  { ! class_Int_Onumber__ring( X ), hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, 
% 8.15/8.49    c_Int_OBit1( c_Int_OPls ) ) ), Y ) = Y }.
% 8.15/8.49  (21911) {G0,W12,D5,L2,V2,M2}  { ! class_Int_Onumber__ring( X ), hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( X, Y ), c_Int_Onumber__class_Onumber__of( 
% 8.15/8.49    X, c_Int_OBit1( c_Int_OPls ) ) ) = Y }.
% 8.15/8.49  (21912) {G0,W9,D4,L2,V1,M2}  { ! class_Int_Onumber__ring( X ), 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( X, c_Int_OBit1( c_Int_OPls ) ) = 
% 8.15/8.49    c_Groups_Oone__class_Oone( X ) }.
% 8.15/8.49  (21913) {G0,W9,D4,L2,V1,M2}  { ! class_Int_Onumber__ring( X ), 
% 8.15/8.49    c_Groups_Oone__class_Oone( X ) = c_Int_Onumber__class_Onumber__of( X, 
% 8.15/8.49    c_Int_OBit1( c_Int_OPls ) ) }.
% 8.15/8.49  (21914) {G0,W13,D5,L3,V2,M3}  { ! class_Fields_Ofield( X ), ! 
% 8.15/8.49    class_Int_Onumber__ring( X ), c_Rings_Oinverse__class_Odivide( X, Y, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( X, c_Int_OBit1( c_Int_OPls ) ) ) = Y
% 8.15/8.49     }.
% 8.15/8.49  (21915) {G0,W13,D5,L3,V2,M3}  { ! class_Fields_Ofield( X ), ! 
% 8.15/8.49    class_Int_Onumber__ring( X ), c_Rings_Oinverse__class_Odivide( X, Y, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( X, c_Int_OBit1( c_Int_OPls ) ) ) = Y
% 8.15/8.49     }.
% 8.15/8.49  (21916) {G0,W15,D5,L3,V1,M3}  { ! class_Fields_Ofield( X ), ! 
% 8.15/8.49    class_Int_Onumber__ring( X ), c_Rings_Oinverse__class_Oinverse( X, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( X, c_Int_OBit1( c_Int_OPls ) ) ) = 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( X, c_Int_OBit1( c_Int_OPls ) ) }.
% 8.15/8.49  (21917) {G0,W9,D3,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Int_Oint, c_Int_OBit1( X ), c_Int_OPls ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ) }.
% 8.15/8.49  (21918) {G0,W9,D3,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint
% 8.15/8.49    , X, c_Int_OPls ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, 
% 8.15/8.49    c_Int_OBit1( X ), c_Int_OPls ) }.
% 8.15/8.49  (21919) {G0,W9,D3,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint
% 8.15/8.49    , c_Int_OPls, c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Int_Oint, c_Int_OPls, X ) }.
% 8.15/8.49  (21920) {G0,W9,D3,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Int_Oint, c_Int_OPls, X ), c_Orderings_Oord__class_Oless( tc_Int_Oint
% 8.15/8.49    , c_Int_OPls, c_Int_OBit1( X ) ) }.
% 8.15/8.49  (21921) {G0,W7,D4,L1,V0,M1}  { c_Groups_Oone__class_Oone( tc_Int_Oint ) = 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit1( c_Int_OPls )
% 8.15/8.49     ) }.
% 8.15/8.49  (21922) {G0,W8,D4,L2,V1,M2}  { ! class_Int_Onumber__ring( X ), ! 
% 8.15/8.49    c_Int_Oiszero( X, c_Int_Onumber__class_Onumber__of( X, c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) }.
% 8.15/8.49  (21923) {G0,W9,D5,L1,V0,M1}  { c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Int_Oint, c_Groups_Ozero__class_Ozero( tc_Int_Oint ), 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit1( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ) }.
% 8.15/8.49  (21924) {G0,W16,D3,L4,V2,M4}  { ! class_Int_Onumber__ring( X ), ! 
% 8.15/8.49    class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    X, c_Groups_Oone__class_Oone( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 8.15/8.49     ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ), Y ) }.
% 8.15/8.49  (21925) {G0,W16,D3,L4,V2,M4}  { ! class_Int_Onumber__ring( X ), ! 
% 8.15/8.49    class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), Y ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ), 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 8.15/8.49  (21926) {G0,W16,D3,L4,V2,M4}  { ! class_Int_Onumber__ring( X ), ! 
% 8.15/8.49    class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    X, c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Oone__class_Oone( X
% 8.15/8.49     ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) }.
% 8.15/8.49  (21927) {G0,W16,D3,L4,V2,M4}  { ! class_Int_Onumber__ring( X ), ! 
% 8.15/8.49    class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Int_Oint, Y, c_Int_OBit1( c_Int_OPls ) ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 8.15/8.49    , Y ), c_Groups_Oone__class_Oone( X ) ) }.
% 8.15/8.49  (21928) {G0,W16,D3,L4,V2,M4}  { ! class_Int_Onumber__ring( X ), ! 
% 8.15/8.49    class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X, 
% 8.15/8.49    c_Groups_Oone__class_Oone( X ), c_Int_Onumber__class_Onumber__of( X, Y )
% 8.15/8.49     ), c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( c_Int_OPls )
% 8.15/8.49    , Y ) }.
% 8.15/8.49  (21929) {G0,W16,D3,L4,V2,M4}  { ! class_Int_Onumber__ring( X ), ! 
% 8.15/8.49    class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), Y ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ), 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 8.15/8.49  (21930) {G0,W16,D3,L4,V2,M4}  { ! class_Int_Onumber__ring( X ), ! 
% 8.15/8.49    class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Oone__class_Oone( X )
% 8.15/8.49     ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) }.
% 8.15/8.49  (21931) {G0,W16,D3,L4,V2,M4}  { ! class_Int_Onumber__ring( X ), ! 
% 8.15/8.49    class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Int_Oint, Y, c_Int_OBit1( c_Int_OPls ) ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 8.15/8.49     ), c_Groups_Oone__class_Oone( X ) ) }.
% 8.15/8.49  (21932) {G0,W17,D5,L2,V2,M2}  { ! class_Int_Onumber__ring( X ), 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( X, c_Int_Onumber__class_Onumber__of( X, Y )
% 8.15/8.49    , c_Groups_Oone__class_Oone( X ) ) = c_Int_Onumber__class_Onumber__of( X
% 8.15/8.49    , c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, c_Int_OBit1( c_Int_OPls )
% 8.15/8.49     ) ) }.
% 8.15/8.49  (21933) {G0,W17,D5,L2,V2,M2}  { ! class_Int_Onumber__ring( X ), 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ), 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( X, Y ) ) = 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus( 
% 8.15/8.49    tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), Y ) ) }.
% 8.15/8.49  (21934) {G0,W5,D3,L1,V1,M1}  { c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 8.15/8.49  (21935) {G0,W5,D3,L1,V1,M1}  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 8.15/8.49    , X, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 8.15/8.49  (21936) {G0,W21,D4,L3,V3,M3}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Nat_Onat, hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), Y ), 
% 8.15/8.49    hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), X ) ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( 
% 8.15/8.49    tc_Nat_Onat ), Z ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X
% 8.15/8.49     ) }.
% 8.15/8.49  (21937) {G0,W17,D4,L2,V3,M2}  { c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 8.15/8.49    , c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Z ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), Y ), hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), X ) ) }.
% 8.15/8.49  (21938) {G0,W16,D4,L2,V3,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, hAPP
% 8.15/8.49    ( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), Y ), hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), X ) ) }.
% 8.15/8.49  (21939) {G0,W4,D2,L1,V1,M1}  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 8.15/8.49    , X, X ) }.
% 8.15/8.49  (21940) {G0,W11,D2,L3,V2,M3}  { Y = X, c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y )
% 8.15/8.49     }.
% 8.15/8.49  (21941) {G0,W7,D2,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 8.15/8.49    , Y, X ), ! Y = X }.
% 8.15/8.49  (21942) {G0,W7,D2,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 8.15/8.49    , X, Y ), ! Y = X }.
% 8.15/8.49  (21943) {G0,W11,D2,L3,V2,M3}  { Y = X, c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y )
% 8.15/8.49     }.
% 8.15/8.49  (21944) {G0,W4,D2,L1,V1,M1}  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 8.15/8.49    , X, X ) }.
% 8.15/8.49  (21945) {G0,W7,D2,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 8.15/8.49    , Y, X ), ! X = Y }.
% 8.15/8.49  (21946) {G0,W7,D2,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 8.15/8.49    , Y, X ), ! Y = X }.
% 8.15/8.49  (21947) {G0,W14,D4,L3,V3,M3}  { alpha92( X, Y, Z ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, Z ), hBOOL( hAPP( hAPP( X
% 8.15/8.49    , Y ), Z ) ) }.
% 8.15/8.49  (21948) {G0,W16,D4,L3,V3,M3}  { alpha92( X, Y, Z ), ! hBOOL( hAPP( hAPP( X
% 8.15/8.49    , Y ), Z ) ), hBOOL( hAPP( hAPP( X, Y ), Z ) ) }.
% 8.15/8.49  (21949) {G0,W11,D2,L3,V3,M3}  { ! alpha92( X, Y, Z ), alpha95( X, Y, Z ), Z
% 8.15/8.49     = Y }.
% 8.15/8.49  (21950) {G0,W14,D4,L3,V3,M3}  { ! alpha92( X, Y, Z ), alpha95( X, Y, Z ), !
% 8.15/8.49     hBOOL( hAPP( hAPP( X, Y ), Z ) ) }.
% 8.15/8.49  (21951) {G0,W8,D2,L2,V3,M2}  { ! alpha95( X, Y, Z ), alpha92( X, Y, Z ) }.
% 8.15/8.49  (21952) {G0,W13,D4,L3,V3,M3}  { ! Z = Y, hBOOL( hAPP( hAPP( X, Y ), Z ) ), 
% 8.15/8.49    alpha92( X, Y, Z ) }.
% 8.15/8.49  (21953) {G0,W8,D2,L2,V3,M2}  { ! alpha95( X, Y, Z ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y ) }.
% 8.15/8.49  (21954) {G0,W10,D4,L2,V3,M2}  { ! alpha95( X, Y, Z ), ! hBOOL( hAPP( hAPP( 
% 8.15/8.49    X, Y ), Z ) ) }.
% 8.15/8.49  (21955) {G0,W14,D4,L3,V3,M3}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Nat_Onat, Z, Y ), hBOOL( hAPP( hAPP( X, Y ), Z ) ), alpha95( X, Y, Z )
% 8.15/8.49     }.
% 8.15/8.49  (21956) {G0,W9,D3,L1,V2,M1}  { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y
% 8.15/8.49    , X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) }.
% 8.15/8.49  (21957) {G0,W15,D4,L1,V3,M1}  { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z
% 8.15/8.49    , c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) = 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, c_Groups_Oplus__class_Oplus
% 8.15/8.49    ( tc_Nat_Onat, Z, X ) ) }.
% 8.15/8.49  (21958) {G0,W15,D4,L1,V3,M1}  { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ) = 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, c_Groups_Oplus__class_Oplus
% 8.15/8.49    ( tc_Nat_Onat, Y, X ) ) }.
% 8.15/8.49  (21959) {G0,W12,D3,L2,V3,M2}  { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat
% 8.15/8.49    , Z, Y ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ), Y = X }.
% 8.15/8.49  (21960) {G0,W12,D3,L2,V3,M2}  { ! Y = X, c_Groups_Oplus__class_Oplus( 
% 8.15/8.49    tc_Nat_Onat, Z, Y ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X )
% 8.15/8.49     }.
% 8.15/8.49  (21961) {G0,W12,D3,L2,V3,M2}  { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat
% 8.15/8.49    , Z, Y ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ), Z = X }.
% 8.15/8.49  (21962) {G0,W12,D3,L2,V3,M2}  { ! Z = X, c_Groups_Oplus__class_Oplus( 
% 8.15/8.49    tc_Nat_Onat, Z, Y ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y )
% 8.15/8.49     }.
% 8.15/8.49  (21963) {G0,W11,D2,L3,V2,M3}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Nat_Onat, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X
% 8.15/8.49    , Y ), Y = X }.
% 8.15/8.49  (21964) {G0,W12,D2,L3,V3,M3}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Nat_Onat, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X
% 8.15/8.49    , Z ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ) }.
% 8.15/8.49  (21965) {G0,W7,D2,L2,V2,M2}  { ! Y = X, c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Nat_Onat, Y, X ) }.
% 8.15/8.49  (21966) {G0,W8,D2,L2,V2,M2}  { c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Y
% 8.15/8.49     ) }.
% 8.15/8.49  (21967) {G0,W4,D2,L1,V1,M1}  { c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Nat_Onat, X, X ) }.
% 8.15/8.49  (21968) {G0,W19,D6,L1,V3,M1}  { hAPP( c_Groups_Otimes__class_Otimes( 
% 8.15/8.49    tc_Nat_Onat, hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), Y ) )
% 8.15/8.49    , X ) = hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y ), X ) ) }.
% 8.15/8.49  (21969) {G0,W11,D4,L1,V2,M1}  { hAPP( c_Groups_Otimes__class_Otimes( 
% 8.15/8.49    tc_Nat_Onat, Y ), X ) = hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat
% 8.15/8.49    , X ), Y ) }.
% 8.15/8.49  (21970) {G0,W5,D3,L1,V1,M1}  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 8.15/8.49    , X, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 8.15/8.49  (21971) {G0,W9,D3,L2,V1,M2}  { X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat
% 8.15/8.49     ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 8.15/8.49  (21972) {G0,W9,D3,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 8.15/8.49    , c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ), ! X = 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 8.15/8.49  (21973) {G0,W5,D3,L1,V1,M1}  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 8.15/8.49    , X, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 8.15/8.49  (21974) {G0,W8,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 8.15/8.49    , Y, X ), ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 8.15/8.49  (21975) {G0,W9,D3,L2,V1,M2}  { X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat
% 8.15/8.49     ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 8.15/8.49  (21976) {G0,W10,D3,L2,V2,M2}  { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat
% 8.15/8.49    , Y, X ) = Y, X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 8.15/8.49  (21977) {G0,W11,D3,L2,V2,M2}  { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat
% 8.15/8.49    , Y, X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y = 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 8.15/8.49  (21978) {G0,W11,D3,L2,V2,M2}  { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat
% 8.15/8.49    , Y, X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X = 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 8.15/8.49  (21979) {G0,W15,D3,L3,V2,M3}  { ! Y = c_Groups_Ozero__class_Ozero( 
% 8.15/8.49    tc_Nat_Onat ), ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) = 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 8.15/8.49  (21980) {G0,W7,D4,L1,V1,M1}  { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X
% 8.15/8.49    , c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) = X }.
% 8.15/8.49  (21981) {G0,W7,D4,L1,V1,M1}  { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) = X }.
% 8.15/8.49  (21982) {G0,W5,D3,L1,V1,M1}  { c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 8.15/8.49  (21983) {G0,W9,D3,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Nat_Onat, X, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X = 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 8.15/8.49  (21984) {G0,W9,D3,L2,V1,M2}  { ! X = c_Groups_Ozero__class_Ozero( 
% 8.15/8.49    tc_Nat_Onat ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 8.15/8.49  (21985) {G0,W18,D4,L3,V3,M3}  { ! hAPP( c_Groups_Otimes__class_Otimes( 
% 8.15/8.49    tc_Nat_Onat, Z ), Y ) = hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat
% 8.15/8.49    , X ), Y ), Z = X, Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 8.15/8.49  (21986) {G0,W14,D4,L2,V3,M2}  { ! Z = X, hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), Y ) = hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X ), Y ) }.
% 8.15/8.49  (21987) {G0,W15,D4,L2,V3,M2}  { ! Y = c_Groups_Ozero__class_Ozero( 
% 8.15/8.49    tc_Nat_Onat ), hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), Y )
% 8.15/8.49     = hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X ), Y ) }.
% 8.15/8.49  (21988) {G0,W18,D4,L3,V3,M3}  { ! hAPP( c_Groups_Otimes__class_Otimes( 
% 8.15/8.49    tc_Nat_Onat, Z ), Y ) = hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat
% 8.15/8.49    , Z ), X ), Y = X, Z = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 8.15/8.49  (21989) {G0,W14,D4,L2,V3,M2}  { ! Y = X, hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), Y ) = hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), X ) }.
% 8.15/8.49  (21990) {G0,W15,D4,L2,V3,M2}  { ! Z = c_Groups_Ozero__class_Ozero( 
% 8.15/8.49    tc_Nat_Onat ), hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), Y )
% 8.15/8.49     = hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), X ) }.
% 8.15/8.49  (21991) {G0,W16,D4,L3,V2,M3}  { ! hAPP( c_Groups_Otimes__class_Otimes( 
% 8.15/8.49    tc_Nat_Onat, Y ), X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y = 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X = 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 8.15/8.49  (21992) {G0,W12,D4,L2,V2,M2}  { ! Y = c_Groups_Ozero__class_Ozero( 
% 8.15/8.49    tc_Nat_Onat ), hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y ), X )
% 8.15/8.49     = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 8.15/8.49  (21993) {G0,W12,D4,L2,V2,M2}  { ! X = c_Groups_Ozero__class_Ozero( 
% 8.15/8.49    tc_Nat_Onat ), hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y ), X )
% 8.15/8.49     = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 8.15/8.49  (21994) {G0,W9,D4,L1,V1,M1}  { hAPP( c_Groups_Otimes__class_Otimes( 
% 8.15/8.49    tc_Nat_Onat, X ), c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) = 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 8.15/8.49  (21995) {G0,W9,D5,L1,V1,M1}  { hAPP( c_Groups_Otimes__class_Otimes( 
% 8.15/8.49    tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X ) = 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 8.15/8.49  (21996) {G0,W11,D3,L2,V3,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Nat_Onat, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ), X ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 8.15/8.49  (21997) {G0,W17,D3,L3,V4,M3}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Nat_Onat, Y, X ), ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, T, X ) =
% 8.15/8.49     c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Nat_Onat, T, Z ) }.
% 8.15/8.49  (21998) {G0,W18,D3,L3,V4,M3}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Nat_Onat, Y, X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, T, Z )
% 8.15/8.49    , c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 8.15/8.49    ( tc_Nat_Onat, Y, T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) )
% 8.15/8.49     }.
% 8.15/8.49  (21999) {G0,W14,D3,L2,V3,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ), 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 8.15/8.49  (22000) {G0,W11,D3,L2,V3,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 8.15/8.49  (22001) {G0,W11,D3,L2,V3,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 8.15/8.49  (22002) {G0,W14,D3,L2,V3,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Nat_Onat, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 8.15/8.49  (22003) {G0,W14,D3,L2,V3,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 8.15/8.49  (22004) {G0,W7,D3,L1,V2,M1}  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 8.15/8.49    , c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ), X ) }.
% 8.15/8.49  (22005) {G0,W7,D3,L1,V2,M1}  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 8.15/8.49    , c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ), Y ) }.
% 8.15/8.49  (22006) {G0,W8,D2,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 8.15/8.49    , Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 8.15/8.49  (22007) {G0,W7,D2,L2,V2,M2}  { ! Y = X, c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Nat_Onat, Y, X ) }.
% 8.15/8.49  (22008) {G0,W11,D2,L3,V2,M3}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Nat_Onat, Y, X ), Y = X, c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y
% 8.15/8.49    , X ) }.
% 8.15/8.49  (22009) {G0,W8,D2,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 8.15/8.49    , Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 8.15/8.49  (22010) {G0,W11,D2,L3,V2,M3}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), 
% 8.15/8.49    Y = X }.
% 8.15/8.49  (22011) {G0,W8,D2,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 8.15/8.49    , Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 8.15/8.49  (22012) {G0,W7,D2,L2,V2,M2}  { ! Y = X, c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Nat_Onat, Y, X ) }.
% 8.15/8.49  (22013) {G0,W8,D2,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 8.15/8.49    , Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 8.15/8.49  (22014) {G0,W7,D2,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 8.15/8.49    , Y, X ), ! Y = X }.
% 8.15/8.49  (22015) {G0,W11,D2,L3,V2,M3}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Nat_Onat, Y, X ), Y = X, c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y
% 8.15/8.49    , X ) }.
% 8.15/8.49  (22016) {G0,W7,D3,L1,V2,M1}  { c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Nat_Onat, Y, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) }.
% 8.15/8.49  (22017) {G0,W7,D3,L1,V2,M1}  { c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Nat_Onat, Y, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 8.15/8.49  (22018) {G0,W12,D4,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Nat_Onat, Y, X ), X = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, 
% 8.15/8.49    skol9( X, Y ) ) }.
% 8.15/8.49  (22019) {G0,W10,D3,L2,V3,M2}  { ! X = c_Groups_Oplus__class_Oplus( 
% 8.15/8.49    tc_Nat_Onat, Y, Z ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X
% 8.15/8.49     ) }.
% 8.15/8.49  (22020) {G0,W14,D3,L2,V3,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Nat_Onat, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 8.15/8.49  (22021) {G0,W14,D3,L2,V3,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 8.15/8.49  (22022) {G0,W11,D3,L2,V3,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 8.15/8.49  (22023) {G0,W11,D3,L2,V3,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 8.15/8.49  (22024) {G0,W14,D3,L2,V3,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ), 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 8.15/8.49  (22025) {G0,W18,D3,L3,V4,M3}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Nat_Onat, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T
% 8.15/8.49    , Z ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, T ), 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 8.15/8.49  (22026) {G0,W11,D3,L2,V3,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Nat_Onat, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 8.15/8.49  (22027) {G0,W11,D3,L2,V3,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Nat_Onat, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ), X ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 8.15/8.49  (22028) {G0,W11,D3,L2,V3,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Nat_Onat, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, X ) }.
% 8.15/8.49  (22029) {G0,W11,D3,L2,V3,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Nat_Onat, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 8.15/8.49  (22030) {G0,W21,D5,L1,V3,M1}  { hAPP( c_Groups_Otimes__class_Otimes( 
% 8.15/8.49    tc_Nat_Onat, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) ), X ) = 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), X ), hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y ), X ) ) }.
% 8.15/8.49  (22031) {G0,W21,D5,L1,V3,M1}  { hAPP( c_Groups_Otimes__class_Otimes( 
% 8.15/8.49    tc_Nat_Onat, Z ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) = 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), Y ), hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), X ) ) }.
% 8.15/8.49  (22032) {G0,W8,D4,L1,V1,M1}  { c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Nat_Onat, X, hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X ), X
% 8.15/8.49     ) ) }.
% 8.15/8.49  (22033) {G0,W12,D5,L1,V1,M1}  { c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Nat_Onat, X, hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X ), 
% 8.15/8.49    hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X ), X ) ) ) }.
% 8.15/8.49  (22034) {G0,W16,D4,L2,V3,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, hAPP
% 8.15/8.49    ( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y ), Z ), hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X ), Z ) ) }.
% 8.15/8.49  (22035) {G0,W16,D4,L2,V3,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, hAPP
% 8.15/8.49    ( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), Y ), hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), X ) ) }.
% 8.15/8.49  (22036) {G0,W20,D4,L3,V4,M3}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Nat_Onat, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T
% 8.15/8.49    , Z ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y ), T ), hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X ), Z ) ) }.
% 8.15/8.49  (22037) {G0,W12,D4,L2,V2,M2}  { ! hAPP( c_Groups_Otimes__class_Otimes( 
% 8.15/8.49    tc_Nat_Onat, Y ), X ) = c_Groups_Oone__class_Oone( tc_Nat_Onat ), Y = 
% 8.15/8.49    c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 8.15/8.49  (22038) {G0,W12,D4,L2,V2,M2}  { ! hAPP( c_Groups_Otimes__class_Otimes( 
% 8.15/8.49    tc_Nat_Onat, Y ), X ) = c_Groups_Oone__class_Oone( tc_Nat_Onat ), X = 
% 8.15/8.49    c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 8.15/8.49  (22039) {G0,W16,D4,L3,V2,M3}  { ! Y = c_Groups_Oone__class_Oone( 
% 8.15/8.49    tc_Nat_Onat ), ! X = c_Groups_Oone__class_Oone( tc_Nat_Onat ), hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y ), X ) = 
% 8.15/8.49    c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 8.15/8.49  (22040) {G0,W8,D4,L1,V1,M1}  { hAPP( c_Groups_Otimes__class_Otimes( 
% 8.15/8.49    tc_Nat_Onat, X ), c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) = X }.
% 8.15/8.49  (22041) {G0,W12,D4,L2,V2,M2}  { ! c_Groups_Oone__class_Oone( tc_Nat_Onat ) 
% 8.15/8.49    = hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y ), X ), Y = 
% 8.15/8.49    c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 8.15/8.49  (22042) {G0,W12,D4,L2,V2,M2}  { ! c_Groups_Oone__class_Oone( tc_Nat_Onat ) 
% 8.15/8.49    = hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y ), X ), X = 
% 8.15/8.49    c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 8.15/8.49  (22043) {G0,W16,D4,L3,V2,M3}  { ! Y = c_Groups_Oone__class_Oone( 
% 8.15/8.49    tc_Nat_Onat ), ! X = c_Groups_Oone__class_Oone( tc_Nat_Onat ), 
% 8.15/8.49    c_Groups_Oone__class_Oone( tc_Nat_Onat ) = hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y ), X ) }.
% 8.15/8.49  (22044) {G0,W8,D5,L1,V1,M1}  { hAPP( c_Groups_Otimes__class_Otimes( 
% 8.15/8.49    tc_Nat_Onat, c_Groups_Oone__class_Oone( tc_Nat_Onat ) ), X ) = X }.
% 8.15/8.49  (22045) {G0,W18,D3,L3,V2,M3}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( 
% 8.15/8.49    tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 8.15/8.49  (22046) {G0,W13,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( 
% 8.15/8.49    tc_Nat_Onat ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 8.15/8.49  (22047) {G0,W13,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( 
% 8.15/8.49    tc_Nat_Onat ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 8.15/8.49  (22048) {G0,W14,D4,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y ), X ) ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( 
% 8.15/8.49    tc_Nat_Onat ), Y ) }.
% 8.15/8.49  (22049) {G0,W14,D4,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y ), X ) ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( 
% 8.15/8.49    tc_Nat_Onat ), X ) }.
% 8.15/8.49  (22050) {G0,W19,D4,L3,V2,M3}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( 
% 8.15/8.49    tc_Nat_Onat ), X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y ), X ) ) }.
% 8.15/8.49  (22051) {G0,W17,D4,L2,V3,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Nat_Onat, hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), Y ), 
% 8.15/8.49    hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), X ) ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( 
% 8.15/8.49    tc_Nat_Onat ), Z ) }.
% 8.15/8.49  (22052) {G0,W16,D4,L2,V3,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Nat_Onat, hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), Y ), 
% 8.15/8.49    hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), X ) ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 8.15/8.49  (22053) {G0,W21,D4,L3,V3,M3}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Z ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), Y ), hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), X ) ) }.
% 8.15/8.49  (22054) {G0,W17,D4,L2,V3,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Nat_Onat, hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), Y ), 
% 8.15/8.49    hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X ), Y ) ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( 
% 8.15/8.49    tc_Nat_Onat ), Y ) }.
% 8.15/8.49  (22055) {G0,W16,D4,L2,V3,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Nat_Onat, hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), Y ), 
% 8.15/8.49    hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X ), Y ) ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, X ) }.
% 8.15/8.49  (22056) {G0,W21,D4,L3,V3,M3}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, X ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), Y ), hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X ), Y ) ) }.
% 8.15/8.49  (22057) {G0,W21,D4,L3,V3,M3}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Nat_Onat, Y, X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Z ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y ), Z ), hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X ), Z ) ) }.
% 8.15/8.49  (22058) {G0,W21,D4,L3,V3,M3}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Nat_Onat, Y, X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Z ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), Y ), hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), X ) ) }.
% 8.15/8.49  (22059) {G0,W15,D4,L3,V2,M3}  { ! Y = hAPP( c_Groups_Otimes__class_Otimes( 
% 8.15/8.49    tc_Nat_Onat, Y ), X ), X = c_Groups_Oone__class_Oone( tc_Nat_Onat ), Y = 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 8.15/8.49  (22060) {G0,W21,D4,L3,V3,M3}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Nat_Onat, hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), Y ), 
% 8.15/8.49    hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X ), Y ) ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( 
% 8.15/8.49    tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, X
% 8.15/8.49     ) }.
% 8.15/8.49  (22061) {G0,W17,D4,L2,V3,M2}  { c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 8.15/8.49    , c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), Y ), hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X ), Y ) ) }.
% 8.15/8.49  (22062) {G0,W16,D4,L2,V3,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Nat_Onat, Z, X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, hAPP
% 8.15/8.49    ( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), Y ), hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X ), Y ) ) }.
% 8.15/8.49  (22063) {G0,W21,D4,L3,V3,M3}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X ), Z ), hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X ), Y ) ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, Y ) }.
% 8.15/8.49  (22064) {G0,W21,D4,L3,V3,M3}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, Y ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X ), Z ), hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X ), Y ) ) }.
% 8.15/8.49  (22065) {G0,W19,D4,L3,V3,M3}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ), ! hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X ), Z ) = hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X ), Y ), Z = Y }.
% 8.15/8.49  (22066) {G0,W19,D4,L3,V3,M3}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ), ! Z = Y, 
% 8.15/8.49    hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X ), Z ) = hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X ), Y ) }.
% 8.15/8.49  (22067) {G0,W21,D4,L3,V3,M3}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X ), Z ), hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X ), Y ) ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y ) }.
% 8.15/8.49  (22068) {G0,W21,D4,L3,V3,M3}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X ), Z ), hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X ), Y ) ) }.
% 8.15/8.49  (22069) {G0,W18,D4,L3,V3,M3}  { ! hAPP( c_Groups_Otimes__class_Otimes( 
% 8.15/8.49    tc_Nat_Onat, Z ), Y ) = hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat
% 8.15/8.49    , Z ), X ), Z = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y = X }.
% 8.15/8.49  (22070) {G0,W15,D4,L2,V3,M2}  { ! Z = c_Groups_Ozero__class_Ozero( 
% 8.15/8.49    tc_Nat_Onat ), hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), Y )
% 8.15/8.49     = hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), X ) }.
% 8.15/8.49  (22071) {G0,W14,D4,L2,V3,M2}  { ! Y = X, hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), Y ) = hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), X ) }.
% 8.15/8.49  (22072) {G0,W27,D6,L1,V4,M1}  { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, 
% 8.15/8.49    hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, T ), Z ), 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y ), Z ), X ) ) = 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Oplus__class_Oplus( 
% 8.15/8.49    tc_Nat_Onat, T, Y ) ), Z ), X ) }.
% 8.15/8.49  (22073) {G0,W11,D3,L2,V3,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 8.15/8.49  (22074) {G0,W11,D3,L2,V3,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 8.15/8.49  (22075) {G0,W11,D3,L2,V3,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 8.15/8.49  (22076) {G0,W11,D3,L2,V3,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Nat_Onat, Y, X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 8.15/8.49  (22077) {G0,W8,D2,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat
% 8.15/8.49    , Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 8.15/8.49  (22078) {G0,W12,D4,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Nat_Onat, Y, X ), X = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, 
% 8.15/8.49    skol10( X, Y ) ) }.
% 8.15/8.49  (22079) {G0,W10,D3,L2,V3,M2}  { ! X = c_Groups_Oplus__class_Oplus( 
% 8.15/8.49    tc_Nat_Onat, Y, Z ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X
% 8.15/8.49     ) }.
% 8.15/8.49  (22080) {G0,W7,D4,L1,V0,M1}  { c_Groups_Oone__class_Oone( 
% 8.15/8.49    tc_Code__Numeral_Ocode__numeral ) = c_Int_Onumber__class_Onumber__of( 
% 8.15/8.49    tc_Code__Numeral_Ocode__numeral, c_Int_OBit1( c_Int_OPls ) ) }.
% 8.15/8.49  (22081) {G0,W6,D3,L1,V0,M1}  { c_Groups_Ozero__class_Ozero( 
% 8.15/8.49    tc_Code__Numeral_Ocode__numeral ) = c_Int_Onumber__class_Onumber__of( 
% 8.15/8.49    tc_Code__Numeral_Ocode__numeral, c_Int_OPls ) }.
% 8.15/8.49  (22082) {G0,W17,D6,L3,V1,M3}  { ! 
% 8.15/8.49    class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 8.15/8.49    class_Int_Onumber__ring( X ), c_Orderings_Oord__class_Oless( X, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, 
% 8.15/8.49    c_Groups_Oone__class_Oone( X ), c_Int_Onumber__class_Onumber__of( X, 
% 8.15/8.49    c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 8.15/8.49  (22083) {G0,W31,D6,L5,V5,M5}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Int_Oint, c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), hBOOL( hAPP
% 8.15/8.49    ( Y, skol11( Z, Y ) ) ), ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint
% 8.15/8.49    , c_Groups_Ozero__class_Ozero( tc_Int_Oint ), T ), ! hBOOL( hAPP( Y, U )
% 8.15/8.49     ), hBOOL( hAPP( Y, c_Groups_Oplus__class_Oplus( tc_Int_Oint, U, hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Int_Oint, T ), X ) ) ) ) }.
% 8.15/8.49  (22084) {G0,W34,D6,L5,V4,M5}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Int_Oint, c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), ! hBOOL( 
% 8.15/8.49    hAPP( Y, c_Groups_Oplus__class_Oplus( tc_Int_Oint, skol11( X, Y ), X ) )
% 8.15/8.49     ), ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Z ), ! hBOOL( hAPP( Y, T ) )
% 8.15/8.49    , hBOOL( hAPP( Y, c_Groups_Oplus__class_Oplus( tc_Int_Oint, T, hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z ), X ) ) ) ) }.
% 8.15/8.49  (22085) {G0,W15,D4,L4,V2,M4}  { ! class_Int_Onumber__ring( X ), ! 
% 8.15/8.49    class_Int_Oring__char__0( X ), ! c_Int_Oiszero( X, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( Y ) ) ), c_Int_Oiszero
% 8.15/8.49    ( X, c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 8.15/8.49  (22086) {G0,W15,D4,L4,V2,M4}  { ! class_Int_Onumber__ring( X ), ! 
% 8.15/8.49    class_Int_Oring__char__0( X ), ! c_Int_Oiszero( X, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( X, Y ) ), c_Int_Oiszero( X, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( Y ) ) ) }.
% 8.15/8.49  (22087) {G0,W6,D4,L1,V1,M1}  { c_Int_Opred( c_Int_OBit1( X ) ) = 
% 8.15/8.49    c_Int_OBit0( X ) }.
% 8.15/8.49  (22088) {G0,W7,D4,L1,V1,M1}  { c_Int_Opred( c_Int_OBit0( X ) ) = 
% 8.15/8.49    c_Int_OBit1( c_Int_Opred( X ) ) }.
% 8.15/8.49  (22089) {G0,W6,D4,L1,V1,M1}  { c_Int_Osucc( c_Int_OBit0( X ) ) = 
% 8.15/8.49    c_Int_OBit1( X ) }.
% 8.15/8.49  (22090) {G0,W7,D4,L1,V1,M1}  { c_Int_Osucc( c_Int_OBit1( X ) ) = 
% 8.15/8.49    c_Int_OBit0( c_Int_Osucc( X ) ) }.
% 8.15/8.49  (22091) {G0,W10,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit0( X ) ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ) }.
% 8.15/8.49  (22092) {G0,W10,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, 
% 8.15/8.49    c_Int_OBit0( Y ), c_Int_OBit0( X ) ) }.
% 8.15/8.49  (22093) {G0,W10,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit0( X ) ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ) }.
% 8.15/8.49  (22094) {G0,W10,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, 
% 8.15/8.49    c_Int_OBit0( Y ), c_Int_OBit0( X ) ) }.
% 8.15/8.49  (22095) {G0,W13,D5,L1,V2,M1}  { hAPP( c_Groups_Otimes__class_Otimes( 
% 8.15/8.49    tc_Int_Oint, c_Int_OBit0( Y ) ), X ) = c_Int_OBit0( hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y ), X ) ) }.
% 8.15/8.49  (22096) {G0,W10,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit0( X ) ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 8.15/8.49  (22097) {G0,W10,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless( tc_Int_Oint, 
% 8.15/8.49    c_Int_OBit0( Y ), c_Int_OBit0( X ) ) }.
% 8.15/8.49  (22098) {G0,W10,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit0( X ) ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 8.15/8.49  (22099) {G0,W10,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless( tc_Int_Oint, 
% 8.15/8.49    c_Int_OBit0( Y ), c_Int_OBit0( X ) ) }.
% 8.15/8.49  (22100) {G0,W7,D3,L1,V1,M1}  { c_Int_OBit0( X ) = 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, X ) }.
% 8.15/8.49  (22101) {G0,W12,D4,L1,V2,M1}  { c_Groups_Oplus__class_Oplus( tc_Int_Oint, 
% 8.15/8.49    c_Int_OBit0( Y ), c_Int_OBit0( X ) ) = c_Int_OBit0( 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }.
% 8.15/8.49  (22102) {G0,W5,D3,L1,V2,M1}  { ! c_Int_OBit1( Y ) = c_Int_OBit0( X ) }.
% 8.15/8.49  (22103) {G0,W5,D3,L1,V2,M1}  { ! c_Int_OBit0( Y ) = c_Int_OBit1( X ) }.
% 8.15/8.49  (22104) {G0,W9,D4,L1,V1,M1}  { c_Groups_Ouminus__class_Ouminus( tc_Int_Oint
% 8.15/8.49    , c_Int_OBit0( X ) ) = c_Int_OBit0( c_Groups_Ouminus__class_Ouminus( 
% 8.15/8.49    tc_Int_Oint, X ) ) }.
% 8.15/8.49  (22105) {G0,W8,D3,L2,V2,M2}  { ! c_Int_OBit0( Y ) = c_Int_OBit0( X ), Y = X
% 8.15/8.49     }.
% 8.15/8.49  (22106) {G0,W8,D3,L2,V2,M2}  { ! Y = X, c_Int_OBit0( Y ) = c_Int_OBit0( X )
% 8.15/8.49     }.
% 8.15/8.49  (22107) {G0,W7,D3,L2,V1,M2}  { ! c_Int_OBit0( X ) = c_Int_OPls, X = 
% 8.15/8.49    c_Int_OPls }.
% 8.15/8.49  (22108) {G0,W7,D3,L2,V1,M2}  { ! X = c_Int_OPls, c_Int_OBit0( X ) = 
% 8.15/8.49    c_Int_OPls }.
% 8.15/8.49  (22109) {G0,W7,D3,L2,V1,M2}  { ! c_Int_OPls = c_Int_OBit0( X ), c_Int_OPls 
% 8.15/8.49    = X }.
% 8.15/8.49  (22110) {G0,W7,D3,L2,V1,M2}  { ! c_Int_OPls = X, c_Int_OPls = c_Int_OBit0( 
% 8.15/8.49    X ) }.
% 8.15/8.49  (22111) {G0,W4,D3,L1,V0,M1}  { c_Int_OBit0( c_Int_OPls ) = c_Int_OPls }.
% 8.15/8.49  (22112) {G0,W12,D4,L1,V2,M1}  { c_Groups_Oplus__class_Oplus( tc_Int_Oint, 
% 8.15/8.49    c_Int_OBit0( Y ), c_Int_OBit1( X ) ) = c_Int_OBit1( 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }.
% 8.15/8.49  (22113) {G0,W12,D4,L1,V2,M1}  { c_Groups_Oplus__class_Oplus( tc_Int_Oint, 
% 8.15/8.49    c_Int_OBit1( Y ), c_Int_OBit0( X ) ) = c_Int_OBit1( 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }.
% 8.15/8.49  (22114) {G0,W9,D3,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint
% 8.15/8.49    , c_Int_OPls, c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Int_Oint, c_Int_OPls, X ) }.
% 8.15/8.49  (22115) {G0,W9,D3,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint
% 8.15/8.49    , c_Int_OPls, X ), c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls
% 8.15/8.49    , c_Int_OBit0( X ) ) }.
% 8.15/8.49  (22116) {G0,W9,D3,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint
% 8.15/8.49    , c_Int_OBit0( X ), c_Int_OPls ), c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Int_Oint, X, c_Int_OPls ) }.
% 8.15/8.49  (22117) {G0,W9,D3,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless( tc_Int_Oint
% 8.15/8.49    , X, c_Int_OPls ), c_Orderings_Oord__class_Oless( tc_Int_Oint, 
% 8.15/8.49    c_Int_OBit0( X ), c_Int_OPls ) }.
% 8.15/8.49  (22118) {G0,W11,D3,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Int_Oint, c_Int_OBit0( X ), c_Groups_Ozero__class_Ozero( tc_Int_Oint )
% 8.15/8.49     ), c_Orderings_Oord__class_Oless( tc_Int_Oint, X, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 8.15/8.49  (22119) {G0,W11,D3,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Int_Oint, X, c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( X ), 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 8.15/8.49  (22120) {G0,W10,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit0( X ) ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 8.15/8.49  (22121) {G0,W10,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless( tc_Int_Oint, 
% 8.15/8.49    c_Int_OBit1( Y ), c_Int_OBit0( X ) ) }.
% 8.15/8.49  (22122) {G0,W10,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit0( X ) ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 8.15/8.49  (22123) {G0,W10,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless( tc_Int_Oint, 
% 8.15/8.49    c_Int_OBit1( Y ), c_Int_OBit0( X ) ) }.
% 8.15/8.49  (22124) {G0,W9,D3,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Int_Oint, c_Int_OBit0( X ), c_Int_OPls ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ) }.
% 8.15/8.49  (22125) {G0,W9,D3,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Int_Oint, X, c_Int_OPls ), c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Int_Oint, c_Int_OBit0( X ), c_Int_OPls ) }.
% 8.15/8.49  (22126) {G0,W9,D3,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Int_Oint, c_Int_OPls, c_Int_OBit0( X ) ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X ) }.
% 8.15/8.49  (22127) {G0,W9,D3,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Int_Oint, c_Int_OPls, X ), c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Int_Oint, c_Int_OPls, c_Int_OBit0( X ) ) }.
% 8.15/8.49  (22128) {G0,W10,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit1( X ) ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ) }.
% 8.15/8.49  (22129) {G0,W10,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, 
% 8.15/8.49    c_Int_OBit0( Y ), c_Int_OBit1( X ) ) }.
% 8.15/8.49  (22130) {G0,W10,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit1( X ) ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ) }.
% 8.15/8.49  (22131) {G0,W10,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, 
% 8.15/8.49    c_Int_OBit0( Y ), c_Int_OBit1( X ) ) }.
% 8.15/8.49  (22132) {G0,W19,D5,L2,V2,M2}  { ! class_Int_Onumber__ring( X ), 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( Y ) ) = 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( X, c_Groups_Oplus__class_Oplus( X, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 8.15/8.49     ) ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 8.15/8.49  (22133) {G0,W10,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit1( X ) ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ) }.
% 8.15/8.49  (22134) {G0,W10,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless( tc_Int_Oint, 
% 8.15/8.49    c_Int_OBit0( Y ), c_Int_OBit1( X ) ) }.
% 8.15/8.49  (22135) {G0,W10,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit1( X ) ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ) }.
% 8.15/8.49  (22136) {G0,W10,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless( tc_Int_Oint, 
% 8.15/8.49    c_Int_OBit0( Y ), c_Int_OBit1( X ) ) }.
% 8.15/8.49  (22137) {G0,W10,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit0( X ) ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 8.15/8.49  (22138) {G0,W10,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, 
% 8.15/8.49    c_Int_OBit1( Y ), c_Int_OBit0( X ) ) }.
% 8.15/8.49  (22139) {G0,W10,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit0( X ) ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 8.15/8.49  (22140) {G0,W10,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Int_Oint, Y, X ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, 
% 8.15/8.49    c_Int_OBit1( Y ), c_Int_OBit0( X ) ) }.
% 8.15/8.49  (22141) {G0,W16,D6,L1,V2,M1}  { hAPP( c_Groups_Otimes__class_Otimes( 
% 8.15/8.49    tc_Int_Oint, c_Int_OBit1( Y ) ), X ) = c_Groups_Oplus__class_Oplus( 
% 8.15/8.49    tc_Int_Oint, c_Int_OBit0( hAPP( c_Groups_Otimes__class_Otimes( 
% 8.15/8.49    tc_Int_Oint, Y ), X ) ), X ) }.
% 8.15/8.49  (22142) {G0,W13,D5,L1,V2,M1}  { c_Groups_Oplus__class_Oplus( tc_Int_Oint, 
% 8.15/8.49    c_Int_OBit1( Y ), c_Int_OBit1( X ) ) = c_Int_OBit0( 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, c_Int_Osucc( X ) ) ) }.
% 8.15/8.49  (22143) {G0,W19,D6,L2,V2,M2}  { ! class_Int_Onumber__ring( X ), hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, 
% 8.15/8.49    c_Groups_Oone__class_Oone( X ), c_Groups_Oone__class_Oone( X ) ) ), 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( X, Y ) ) = 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( Y ) ) }.
% 8.15/8.49  (22144) {G0,W15,D4,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Int_Oint, c_Groups_Ozero__class_Ozero( tc_Int_Oint ), 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_Int_Oint ), 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit0( X ) ) ) }.
% 8.15/8.49  (22145) {G0,W15,D4,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Int_Oint, c_Groups_Ozero__class_Ozero( tc_Int_Oint ), 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_Int_Oint ), 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit1( X ) ) ) }.
% 8.15/8.49  (22146) {G0,W28,D8,L2,V3,M2}  { ! Z = c_Rings_Oinverse__class_Odivide( 
% 8.15/8.49    tc_RealDef_Oreal, Y, hAPP( c_Groups_Otimes__class_Otimes( 
% 8.15/8.49    tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, 
% 8.15/8.49    c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ), X ) ), hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0( 
% 8.15/8.49    c_Int_OBit1( c_Int_OPls ) ) ) ), Z ) = c_Rings_Oinverse__class_Odivide( 
% 8.15/8.49    tc_RealDef_Oreal, Y, X ) }.
% 8.15/8.49  (22147) {G0,W28,D8,L2,V3,M2}  { ! hAPP( c_Groups_Otimes__class_Otimes( 
% 8.15/8.49    tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, 
% 8.15/8.49    c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ), Z ) = 
% 8.15/8.49    c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ), Z = 
% 8.15/8.49    c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0( 
% 8.15/8.49    c_Int_OBit1( c_Int_OPls ) ) ) ), X ) ) }.
% 8.15/8.49  (22148) {G0,W16,D6,L2,V2,M2}  { ! class_Int_Onumber__ring( X ), hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( X, Y ), c_Int_Onumber__class_Onumber__of( 
% 8.15/8.49    X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) = 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( X, Y, Y ) }.
% 8.15/8.49  (22149) {G0,W16,D7,L2,V2,M2}  { ! class_Int_Onumber__ring( X ), hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, 
% 8.15/8.49    c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ), Y ) = 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( X, Y, Y ) }.
% 8.15/8.49  (22150) {G0,W14,D5,L2,V1,M2}  { ! class_Int_Onumber__ring( X ), 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ), 
% 8.15/8.49    c_Groups_Oone__class_Oone( X ) ) = c_Int_Onumber__class_Onumber__of( X, 
% 8.15/8.49    c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) }.
% 8.15/8.49  (22151) {G0,W9,D5,L1,V0,M1}  { c_Orderings_Oord__class_Oless( tc_Nat_Onat, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ) }.
% 8.15/8.49  (22152) {G0,W9,D5,L1,V0,M1}  { c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Int_Oint, c_Groups_Ozero__class_Ozero( tc_Int_Oint ), 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ) }.
% 8.15/8.49  (22153) {G0,W14,D6,L1,V1,M1}  { hAPP( c_Groups_Otimes__class_Otimes( 
% 8.15/8.49    tc_Nat_Onat, X ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, 
% 8.15/8.49    c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) = 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, X ) }.
% 8.15/8.49  (22154) {G0,W14,D7,L1,V1,M1}  { hAPP( c_Groups_Otimes__class_Otimes( 
% 8.15/8.49    tc_Nat_Onat, c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( 
% 8.15/8.49    c_Int_OBit1( c_Int_OPls ) ) ) ), X ) = c_Groups_Oplus__class_Oplus( 
% 8.15/8.49    tc_Nat_Onat, X, X ) }.
% 8.15/8.49  (22155) {G0,W12,D5,L1,V0,M1}  { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, 
% 8.15/8.49    c_Groups_Oone__class_Oone( tc_Nat_Onat ), c_Groups_Oone__class_Oone( 
% 8.15/8.49    tc_Nat_Onat ) ) = c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, 
% 8.15/8.49    c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) }.
% 8.15/8.49  (22156) {G0,W18,D6,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_RealDef_Oreal, Y, X ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal
% 8.15/8.49    , Y, c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ), 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0( 
% 8.15/8.49    c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 8.15/8.49  (22157) {G0,W18,D6,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_RealDef_Oreal, Y, X ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal
% 8.15/8.49    , c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ), 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0( 
% 8.15/8.49    c_Int_OBit1( c_Int_OPls ) ) ) ), X ) }.
% 8.15/8.49  (22158) {G0,W21,D6,L4,V2,M4}  { ! 
% 8.15/8.49    class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 8.15/8.49    class_Int_Onumber__ring( X ), ! c_Orderings_Oord__class_Oless( X, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless( X, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 8.15/8.49     ) ) ) ) ) }.
% 8.15/8.49  (22159) {G0,W21,D6,L4,V2,M4}  { ! 
% 8.15/8.49    class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 8.15/8.49    class_Int_Onumber__ring( X ), ! c_Orderings_Oord__class_Oless( X, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 8.15/8.49     ) ) ) ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero
% 8.15/8.49    ( X ), Y ) }.
% 8.15/8.49  (22160) {G0,W21,D6,L4,V2,M4}  { ! 
% 8.15/8.49    class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 8.15/8.49    class_Int_Onumber__ring( X ), ! c_Orderings_Oord__class_Oless( X, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless( X, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 8.15/8.49     ) ) ) ) ) }.
% 8.15/8.49  (22161) {G0,W21,D5,L4,V1,M4}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Int_Oint, c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Int_Oint, X, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ), X = c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X = 
% 8.15/8.49    c_Groups_Oone__class_Oone( tc_Int_Oint ) }.
% 8.15/8.49  (22162) {G0,W20,D7,L1,V1,M1}  { c_Groups_Oplus__class_Oplus( 
% 8.15/8.49    tc_RealDef_Oreal, c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0( 
% 8.15/8.49    c_Int_OBit1( c_Int_OPls ) ) ) ), c_Rings_Oinverse__class_Odivide( 
% 8.15/8.49    tc_RealDef_Oreal, X, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, 
% 8.15/8.49    c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) = X }.
% 8.15/8.49  (22163) {G0,W17,D3,L4,V2,M4}  { X = c_Groups_Ozero__class_Ozero( 
% 8.15/8.49    tc_RealDef_Oreal ), alpha93( X, Y ), c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_RealDef_Oreal, X, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), 
% 8.15/8.49    c_Deriv_Oderiv( tc_RealDef_Oreal, c_NthRoot_Osqrt, X, Y ) }.
% 8.15/8.49  (22164) {G0,W28,D6,L4,V2,M4}  { X = c_Groups_Ozero__class_Ozero( 
% 8.15/8.49    tc_RealDef_Oreal ), alpha93( X, Y ), ! Y = 
% 8.15/8.49    c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, 
% 8.15/8.49    c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, 
% 8.15/8.49    c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal, hAPP( c_NthRoot_Osqrt
% 8.15/8.49    , X ) ) ), c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, 
% 8.15/8.49    c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ), c_Deriv_Oderiv( 
% 8.15/8.49    tc_RealDef_Oreal, c_NthRoot_Osqrt, X, Y ) }.
% 8.15/8.49  (22165) {G0,W8,D3,L2,V2,M2}  { ! alpha93( X, Y ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ) }.
% 8.15/8.49  (22166) {G0,W17,D6,L2,V2,M2}  { ! alpha93( X, Y ), ! Y = 
% 8.15/8.49    c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, 
% 8.15/8.49    c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal, hAPP( c_NthRoot_Osqrt
% 8.15/8.49    , X ) ), c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0
% 8.15/8.49    ( c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 8.15/8.49  (22167) {G0,W22,D6,L3,V2,M3}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), Y
% 8.15/8.49     = c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, 
% 8.15/8.49    c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal, hAPP( c_NthRoot_Osqrt
% 8.15/8.49    , X ) ), c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0
% 8.15/8.49    ( c_Int_OBit1( c_Int_OPls ) ) ) ), alpha93( X, Y ) }.
% 8.15/8.49  (22168) {G0,W39,D7,L3,V4,M3}  { Y = X, ! c_Deriv_Oderiv( tc_RealDef_Oreal, 
% 8.15/8.49    Z, skol12( Z, T ), T ), hAPP( Z, c_Rings_Oinverse__class_Odivide( 
% 8.15/8.49    tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ), 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0( 
% 8.15/8.49    c_Int_OBit1( c_Int_OPls ) ) ) ) ) = c_Rings_Oinverse__class_Odivide( 
% 8.15/8.49    tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, hAPP( Z
% 8.15/8.49    , Y ), hAPP( Z, X ) ), c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal
% 8.15/8.49    , c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 8.15/8.49  (22169) {G0,W12,D3,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_RealDef_Oreal, hAPP( c_NthRoot_Osqrt, X ), c_Groups_Oone__class_Oone( 
% 8.15/8.49    tc_RealDef_Oreal ) ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X
% 8.15/8.49    , c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 8.15/8.49  (22170) {G0,W12,D3,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_RealDef_Oreal, X, c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, hAPP( c_NthRoot_Osqrt, X
% 8.15/8.49     ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 8.15/8.49  (22171) {G0,W12,D3,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_RealDef_Oreal, c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), hAPP( 
% 8.15/8.49    c_NthRoot_Osqrt, X ) ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 8.15/8.49    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ) }.
% 8.15/8.49  (22172) {G0,W12,D3,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_RealDef_Oreal, c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 8.15/8.49    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), hAPP( c_NthRoot_Osqrt, X )
% 8.15/8.49     ) }.
% 8.15/8.49  (22173) {G0,W12,D3,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_RealDef_Oreal, c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), hAPP( 
% 8.15/8.49    c_NthRoot_Osqrt, X ) ), c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_RealDef_Oreal, c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ) }.
% 8.15/8.49  (22174) {G0,W12,D3,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_RealDef_Oreal, c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 8.15/8.49    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), hAPP( c_NthRoot_Osqrt, X )
% 8.15/8.49     ) }.
% 8.15/8.49  (22175) {G0,W12,D3,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_RealDef_Oreal, hAPP( c_NthRoot_Osqrt, X ), c_Groups_Oone__class_Oone( 
% 8.15/8.49    tc_RealDef_Oreal ) ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal
% 8.15/8.49    , X, c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 8.15/8.49  (22176) {G0,W12,D3,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_RealDef_Oreal, X, c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, hAPP( 
% 8.15/8.49    c_NthRoot_Osqrt, X ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 8.15/8.49  (22177) {G0,W12,D3,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_RealDef_Oreal, c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 8.15/8.49    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), hAPP( c_NthRoot_Osqrt, X )
% 8.15/8.49     ) }.
% 8.15/8.49  (22178) {G0,W10,D3,L2,V1,M2}  { ! hAPP( c_NthRoot_Osqrt, X ) = 
% 8.15/8.49    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X = 
% 8.15/8.49    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 8.15/8.49  (22179) {G0,W10,D3,L2,V1,M2}  { ! X = c_Groups_Oone__class_Oone( 
% 8.15/8.49    tc_RealDef_Oreal ), hAPP( c_NthRoot_Osqrt, X ) = 
% 8.15/8.49    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 8.15/8.49  (22180) {G0,W7,D4,L1,V0,M1}  { hAPP( c_NthRoot_Osqrt, 
% 8.15/8.49    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) = 
% 8.15/8.49    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 8.15/8.49  (22181) {G0,W12,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_RealDef_Oreal, Y, X ), c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_RealDef_Oreal, hAPP( c_NthRoot_Osqrt, Y ), hAPP( c_NthRoot_Osqrt, X )
% 8.15/8.49     ) }.
% 8.15/8.49  (22182) {G0,W12,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_RealDef_Oreal, hAPP( c_NthRoot_Osqrt, Y ), hAPP( c_NthRoot_Osqrt, X )
% 8.15/8.49     ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 8.15/8.49  (22183) {G0,W12,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_RealDef_Oreal, Y, X ), c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_RealDef_Oreal, hAPP( c_NthRoot_Osqrt, Y ), hAPP( c_NthRoot_Osqrt, X )
% 8.15/8.49     ) }.
% 8.15/8.49  (22184) {G0,W12,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_RealDef_Oreal, Y, X ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal
% 8.15/8.49    , hAPP( c_NthRoot_Osqrt, Y ), hAPP( c_NthRoot_Osqrt, X ) ) }.
% 8.15/8.49  (22185) {G0,W12,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_RealDef_Oreal, hAPP( c_NthRoot_Osqrt, Y ), hAPP( c_NthRoot_Osqrt, X )
% 8.15/8.49     ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ) }.
% 8.15/8.49  (22186) {G0,W12,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_RealDef_Oreal, Y, X ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal
% 8.15/8.49    , hAPP( c_NthRoot_Osqrt, Y ), hAPP( c_NthRoot_Osqrt, X ) ) }.
% 8.15/8.49  (22187) {G0,W17,D5,L1,V2,M1}  { hAPP( c_NthRoot_Osqrt, hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y ), X ) ) = hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, hAPP( c_NthRoot_Osqrt, Y
% 8.15/8.49     ) ), hAPP( c_NthRoot_Osqrt, X ) ) }.
% 8.15/8.49  (22188) {G0,W11,D4,L1,V1,M1}  { hAPP( c_NthRoot_Osqrt, 
% 8.15/8.49    c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) ) = 
% 8.15/8.49    c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, hAPP( c_NthRoot_Osqrt
% 8.15/8.49    , X ) ) }.
% 8.15/8.49  (22189) {G0,W11,D4,L1,V1,M1}  { hAPP( c_NthRoot_Osqrt, 
% 8.15/8.49    c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal, X ) ) = 
% 8.15/8.49    c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal, hAPP( c_NthRoot_Osqrt
% 8.15/8.49    , X ) ) }.
% 8.15/8.49  (22190) {G0,W15,D4,L1,V2,M1}  { hAPP( c_NthRoot_Osqrt, 
% 8.15/8.49    c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) ) = 
% 8.15/8.49    c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, hAPP( c_NthRoot_Osqrt
% 8.15/8.49    , Y ), hAPP( c_NthRoot_Osqrt, X ) ) }.
% 8.15/8.49  (22191) {G0,W10,D3,L2,V2,M2}  { ! hAPP( c_NthRoot_Osqrt, Y ) = hAPP( 
% 8.15/8.49    c_NthRoot_Osqrt, X ), Y = X }.
% 8.15/8.49  (22192) {G0,W10,D3,L2,V2,M2}  { ! Y = X, hAPP( c_NthRoot_Osqrt, Y ) = hAPP
% 8.15/8.49    ( c_NthRoot_Osqrt, X ) }.
% 8.15/8.49  (22193) {G0,W12,D3,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), hAPP( c_NthRoot_Osqrt, X
% 8.15/8.49     ) ) }.
% 8.15/8.49  (22194) {G0,W11,D3,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 8.15/8.49     hAPP( c_NthRoot_Osqrt, X ) = c_Groups_Ozero__class_Ozero( 
% 8.15/8.49    tc_RealDef_Oreal ) }.
% 8.15/8.49  (22195) {G0,W12,D3,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_RealDef_Oreal, hAPP( c_NthRoot_Osqrt, X ), c_Groups_Ozero__class_Ozero
% 8.15/8.49    ( tc_RealDef_Oreal ) ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 8.15/8.49    X, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 8.15/8.49  (22196) {G0,W12,D3,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_RealDef_Oreal, X, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, hAPP( c_NthRoot_Osqrt, X
% 8.15/8.49     ), c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 8.15/8.49  (22197) {G0,W12,D3,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), hAPP( 
% 8.15/8.49    c_NthRoot_Osqrt, X ) ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ) }.
% 8.15/8.49  (22198) {G0,W12,D3,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), hAPP( c_NthRoot_Osqrt, X
% 8.15/8.49     ) ) }.
% 8.15/8.49  (22199) {G0,W12,D3,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), hAPP( 
% 8.15/8.49    c_NthRoot_Osqrt, X ) ), c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X )
% 8.15/8.49     }.
% 8.15/8.49  (22200) {G0,W12,D3,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), hAPP( c_NthRoot_Osqrt, X
% 8.15/8.49     ) ) }.
% 8.15/8.49  (22201) {G0,W12,D3,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_RealDef_Oreal, hAPP( c_NthRoot_Osqrt, X ), c_Groups_Ozero__class_Ozero
% 8.15/8.49    ( tc_RealDef_Oreal ) ), c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_RealDef_Oreal, X, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) )
% 8.15/8.49     }.
% 8.15/8.49  (22202) {G0,W12,D3,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_RealDef_Oreal, X, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, hAPP( 
% 8.15/8.49    c_NthRoot_Osqrt, X ), c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) )
% 8.15/8.49     }.
% 8.15/8.49  (22203) {G0,W12,D3,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), hAPP( c_NthRoot_Osqrt, X
% 8.15/8.49     ) ) }.
% 8.15/8.49  (22204) {G0,W15,D3,L3,V1,M3}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 8.15/8.49     hAPP( c_NthRoot_Osqrt, X ) = c_Groups_Ozero__class_Ozero( 
% 8.15/8.49    tc_RealDef_Oreal ), X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal )
% 8.15/8.49     }.
% 8.15/8.49  (22205) {G0,W10,D3,L2,V1,M2}  { ! hAPP( c_NthRoot_Osqrt, X ) = 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X = 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 8.15/8.49  (22206) {G0,W10,D3,L2,V1,M2}  { ! X = c_Groups_Ozero__class_Ozero( 
% 8.15/8.49    tc_RealDef_Oreal ), hAPP( c_NthRoot_Osqrt, X ) = 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 8.15/8.49  (22207) {G0,W7,D4,L1,V0,M1}  { hAPP( c_NthRoot_Osqrt, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) = 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 8.15/8.49  (22208) {G0,W17,D6,L1,V2,M1}  { c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_RealDef_Oreal, Y, hAPP( c_NthRoot_Osqrt, c_Groups_Oplus__class_Oplus( 
% 8.15/8.49    tc_RealDef_Oreal, hAPP( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, 
% 8.15/8.49    Y ), Y ), hAPP( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X ), X )
% 8.15/8.49     ) ) ) }.
% 8.15/8.49  (22209) {G0,W18,D6,L1,V2,M1}  { c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), hAPP( 
% 8.15/8.49    c_NthRoot_Osqrt, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y ), Y ), hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X ), X ) ) ) ) }.
% 8.15/8.49  (22210) {G0,W17,D4,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), 
% 8.15/8.49    c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, hAPP( c_NthRoot_Osqrt
% 8.15/8.49    , X ), X ) = c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal, hAPP( 
% 8.15/8.49    c_NthRoot_Osqrt, X ) ) }.
% 8.15/8.49  (22211) {G0,W11,D6,L1,V0,M1}  { c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), hAPP( 
% 8.15/8.49    c_NthRoot_Osqrt, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, 
% 8.15/8.49    c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 8.15/8.49  (22212) {G0,W11,D6,L1,V0,M1}  { c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), hAPP( 
% 8.15/8.49    c_NthRoot_Osqrt, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, 
% 8.15/8.49    c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 8.15/8.49  (22213) {G0,W11,D6,L1,V0,M1}  { c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_RealDef_Oreal, c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), hAPP( 
% 8.15/8.49    c_NthRoot_Osqrt, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, 
% 8.15/8.49    c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 8.15/8.49  (22214) {G0,W18,D7,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 8.15/8.49    c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X, hAPP( 
% 8.15/8.49    c_NthRoot_Osqrt, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, 
% 8.15/8.49    c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ), X ) }.
% 8.15/8.49  (22215) {G0,W21,D6,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), 
% 8.15/8.49    c_Deriv_Oderiv( tc_RealDef_Oreal, c_NthRoot_Osqrt, X, 
% 8.15/8.49    c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, 
% 8.15/8.49    c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal, hAPP( c_NthRoot_Osqrt
% 8.15/8.49    , X ) ), c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0
% 8.15/8.49    ( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 8.15/8.49  (22216) {G0,W60,D8,L6,V3,M6}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 8.15/8.49     c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, 
% 8.15/8.49    c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0( 
% 8.15/8.49    c_Int_OBit1( c_Int_OPls ) ) ) ) ), ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_RealDef_Oreal, Z, c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X
% 8.15/8.49    , c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0( 
% 8.15/8.49    c_Int_OBit1( c_Int_OPls ) ) ) ) ), ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), !
% 8.15/8.49     c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Z ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, hAPP( c_NthRoot_Osqrt, 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, 
% 8.15/8.49    c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, Z, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ) ) ), X ) }.
% 8.15/8.49  (22217) {G0,W45,D10,L1,V4,M1}  { c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), hAPP( 
% 8.15/8.49    c_NthRoot_Osqrt, hAPP( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, 
% 8.15/8.49    c_Power_Opower__class_Opower( tc_RealDef_Oreal, T, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, Z, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ) ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, 
% 8.15/8.49    c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ) ) ) ) ) }.
% 8.15/8.49  (22218) {G0,W13,D4,L1,V2,M1}  { hAPP( c_NthRoot_Osqrt, 
% 8.15/8.49    c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y, X ) ) = 
% 8.15/8.49    c_Power_Opower__class_Opower( tc_RealDef_Oreal, hAPP( c_NthRoot_Osqrt, Y
% 8.15/8.49     ), X ) }.
% 8.15/8.49  (22219) {G0,W10,D4,L2,V2,M2}  { ! class_Rings_Ocomm__semiring__1( X ), 
% 8.15/8.49    c_Power_Opower__class_Opower( X, Y, c_Groups_Ozero__class_Ozero( 
% 8.15/8.49    tc_Nat_Onat ) ) = c_Groups_Oone__class_Oone( X ) }.
% 8.15/8.49  (22220) {G0,W21,D5,L2,V4,M2}  { ! class_Rings_Ocomm__semiring__1( X ), hAPP
% 8.15/8.49    ( c_Groups_Otimes__class_Otimes( X, c_Power_Opower__class_Opower( X, T, Z
% 8.15/8.49     ) ), c_Power_Opower__class_Opower( X, T, Y ) ) = 
% 8.15/8.49    c_Power_Opower__class_Opower( X, T, c_Groups_Oplus__class_Oplus( 
% 8.15/8.49    tc_Nat_Onat, Z, Y ) ) }.
% 8.15/8.49  (22221) {G0,W18,D5,L2,V4,M2}  { ! class_Rings_Ocomm__semiring__1( X ), 
% 8.15/8.49    c_Power_Opower__class_Opower( X, c_Power_Opower__class_Opower( X, T, Z )
% 8.15/8.49    , Y ) = c_Power_Opower__class_Opower( X, T, hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z ), Y ) ) }.
% 8.15/8.49  (22222) {G0,W22,D5,L2,V4,M2}  { ! class_Rings_Ocomm__semiring__1( X ), 
% 8.15/8.49    c_Power_Opower__class_Opower( X, hAPP( c_Groups_Otimes__class_Otimes( X, 
% 8.15/8.49    T ), Z ), Y ) = hAPP( c_Groups_Otimes__class_Otimes( X, 
% 8.15/8.49    c_Power_Opower__class_Opower( X, T, Y ) ), c_Power_Opower__class_Opower( 
% 8.15/8.49    X, Z, Y ) ) }.
% 8.15/8.49  (22223) {G0,W9,D4,L2,V2,M2}  { ! class_Rings_Ocomm__semiring__1( X ), 
% 8.15/8.49    c_Power_Opower__class_Opower( X, Y, c_Groups_Oone__class_Oone( 
% 8.15/8.49    tc_Nat_Onat ) ) = Y }.
% 8.15/8.49  (22224) {G0,W21,D4,L6,V3,M6}  { ! class_Power_Opower( X ), ! 
% 8.15/8.49    class_Rings_Omult__zero( X ), ! class_Rings_Ono__zero__divisors( X ), ! 
% 8.15/8.49    class_Rings_Ozero__neq__one( X ), ! c_Power_Opower__class_Opower( X, Z, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ) ) = 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X )
% 8.15/8.49     }.
% 8.15/8.49  (22225) {G0,W23,D4,L6,V3,M6}  { ! class_Power_Opower( X ), ! 
% 8.15/8.49    class_Rings_Omult__zero( X ), ! class_Rings_Ono__zero__divisors( X ), ! 
% 8.15/8.49    class_Rings_Ozero__neq__one( X ), ! c_Power_Opower__class_Opower( X, Z, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ) ) = 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( X ), ! c_Int_Onumber__class_Onumber__of( 
% 8.15/8.49    tc_Nat_Onat, Y ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 8.15/8.49  (22226) {G0,W27,D4,L7,V3,M7}  { ! class_Power_Opower( X ), ! 
% 8.15/8.49    class_Rings_Omult__zero( X ), ! class_Rings_Ono__zero__divisors( X ), ! 
% 8.15/8.49    class_Rings_Ozero__neq__one( X ), ! Z = c_Groups_Ozero__class_Ozero( X )
% 8.15/8.49    , c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ) = 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Power_Opower__class_Opower
% 8.15/8.49    ( X, Z, c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ) ) = 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( X ) }.
% 8.15/8.49  (22227) {G0,W20,D4,L4,V2,M4}  { ! class_Power_Opower( X ), ! 
% 8.15/8.49    class_Rings_Osemiring__0( X ), ! c_Int_Onumber__class_Onumber__of( 
% 8.15/8.49    tc_Nat_Onat, Y ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), 
% 8.15/8.49    c_Power_Opower__class_Opower( X, c_Groups_Ozero__class_Ozero( X ), 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ) ) = 
% 8.15/8.49    c_Groups_Oone__class_Oone( X ) }.
% 8.15/8.49  (22228) {G0,W20,D4,L4,V2,M4}  { ! class_Power_Opower( X ), ! 
% 8.15/8.49    class_Rings_Osemiring__0( X ), c_Int_Onumber__class_Onumber__of( 
% 8.15/8.49    tc_Nat_Onat, Y ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), 
% 8.15/8.49    c_Power_Opower__class_Opower( X, c_Groups_Ozero__class_Ozero( X ), 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ) ) = 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( X ) }.
% 8.15/8.49  (22229) {G0,W20,D6,L2,V2,M2}  { ! class_Groups_Omonoid__mult( X ), 
% 8.15/8.49    c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of( 
% 8.15/8.49    tc_Nat_Onat, c_Int_OBit1( c_Int_OBit1( c_Int_OPls ) ) ) ) = hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( X, hAPP( c_Groups_Otimes__class_Otimes( X
% 8.15/8.49    , Y ), Y ) ), Y ) }.
% 8.15/8.49  (22230) {G0,W14,D6,L2,V1,M2}  { ! class_Rings_Osemiring__1( X ), 
% 8.15/8.49    c_Power_Opower__class_Opower( X, c_Groups_Ozero__class_Ozero( X ), 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 8.15/8.49  (22231) {G0,W17,D6,L3,V2,M3}  { ! class_Rings_Oring__1__no__zero__divisors
% 8.15/8.49    ( X ), ! c_Power_Opower__class_Opower( X, Y, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ) = c_Groups_Ozero__class_Ozero( X ), Y = 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( X ) }.
% 8.15/8.49  (22232) {G0,W17,D6,L3,V2,M3}  { ! class_Rings_Oring__1__no__zero__divisors
% 8.15/8.49    ( X ), ! Y = c_Groups_Ozero__class_Ozero( X ), 
% 8.15/8.49    c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of( 
% 8.15/8.49    tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) = 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( X ) }.
% 8.15/8.49  (22233) {G0,W16,D6,L2,V2,M2}  { ! class_Rings_Ocomm__semiring__1( X ), hAPP
% 8.15/8.49    ( c_Groups_Otimes__class_Otimes( X, Y ), Y ) = 
% 8.15/8.49    c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of( 
% 8.15/8.49    tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 8.15/8.49  (22234) {G0,W16,D6,L2,V2,M2}  { ! class_Groups_Omonoid__mult( X ), 
% 8.15/8.49    c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of( 
% 8.15/8.49    tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) = hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( X, Y ), Y ) }.
% 8.15/8.49  (22235) {G0,W14,D6,L2,V1,M2}  { ! class_Rings_Osemiring__1( X ), 
% 8.15/8.49    c_Power_Opower__class_Opower( X, c_Groups_Oone__class_Oone( X ), 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ) = c_Groups_Oone__class_Oone( X ) }.
% 8.15/8.49  (22236) {G0,W21,D6,L2,V2,M2}  { ! class_Rings_Oring__1( X ), 
% 8.15/8.49    c_Power_Opower__class_Opower( X, c_Groups_Ouminus__class_Ouminus( X, Y )
% 8.15/8.49    , c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1
% 8.15/8.49    ( c_Int_OPls ) ) ) ) = c_Power_Opower__class_Opower( X, Y, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ) }.
% 8.15/8.49  (22237) {G0,W26,D8,L2,V3,M2}  { ! class_Groups_Omonoid__mult( X ), 
% 8.15/8.49    c_Power_Opower__class_Opower( X, Z, hAPP( c_Groups_Otimes__class_Otimes( 
% 8.15/8.49    tc_Nat_Onat, c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( 
% 8.15/8.49    c_Int_OBit1( c_Int_OPls ) ) ) ), Y ) ) = c_Power_Opower__class_Opower( X
% 8.15/8.49    , c_Power_Opower__class_Opower( X, Z, Y ), 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ) }.
% 8.15/8.49  (22238) {G0,W14,D6,L2,V2,M2}  { ! class_Rings_Olinordered__idom( X ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), 
% 8.15/8.49    c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of( 
% 8.15/8.49    tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 8.15/8.49  (22239) {G0,W29,D6,L4,V3,M4}  { ! class_Rings_Olinordered__semidom( X ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( X, c_Power_Opower__class_Opower( X, Z
% 8.15/8.49    , c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1
% 8.15/8.49    ( c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( X, Y, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ) ), ! c_Orderings_Oord__class_Oless__eq( X, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless__eq
% 8.15/8.49    ( X, Z, Y ) }.
% 8.15/8.49  (22240) {G0,W32,D6,L5,V3,M5}  { ! class_Rings_Olinordered__semidom( X ), ! 
% 8.15/8.49    c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of( 
% 8.15/8.49    tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) = 
% 8.15/8.49    c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of( 
% 8.15/8.49    tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 8.15/8.49     ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( 
% 8.15/8.49    X ), Y ), Z = Y }.
% 8.15/8.49  (22241) {G0,W18,D6,L3,V2,M3}  { ! class_Rings_Olinordered__idom( X ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), 
% 8.15/8.49    c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of( 
% 8.15/8.49    tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ), ! Y = 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( X ) }.
% 8.15/8.49  (22242) {G0,W18,D6,L3,V2,M3}  { ! class_Rings_Olinordered__idom( X ), Y = 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless( X, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( X ), c_Power_Opower__class_Opower( X, Y, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ) ) }.
% 8.15/8.49  (22243) {G0,W14,D6,L2,V2,M2}  { ! class_Rings_Olinordered__idom( X ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless( X, c_Power_Opower__class_Opower( X, Y, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 8.15/8.49  (22244) {G0,W27,D7,L3,V3,M3}  { ! class_Rings_Olinordered__idom( X ), ! 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( X, c_Power_Opower__class_Opower( X, Z, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( X, Y, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ) ) = c_Groups_Ozero__class_Ozero( X ), Z = 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( X ) }.
% 8.15/8.49  (22245) {G0,W27,D7,L3,V3,M3}  { ! class_Rings_Olinordered__idom( X ), ! 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( X, c_Power_Opower__class_Opower( X, Z, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( X, Y, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ) ) = c_Groups_Ozero__class_Ozero( X ), Y = 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( X ) }.
% 8.15/8.49  (22246) {G0,W31,D7,L4,V3,M4}  { ! class_Rings_Olinordered__idom( X ), ! Z =
% 8.15/8.49     c_Groups_Ozero__class_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X )
% 8.15/8.49    , c_Groups_Oplus__class_Oplus( X, c_Power_Opower__class_Opower( X, Z, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( X, Y, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 8.15/8.49  (22247) {G0,W24,D6,L3,V2,M3}  { ! class_Groups_Omonoid__mult( X ), ! 
% 8.15/8.49    class_Int_Onumber( X ), c_Power_Opower__class_Opower( X, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( X, Y ), 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ) = hAPP( c_Groups_Otimes__class_Otimes( X, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( X, Y ) ), 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 8.15/8.49  (22248) {G0,W23,D6,L4,V2,M4}  { ! class_Rings_Oring__1__no__zero__divisors
% 8.15/8.49    ( X ), ! c_Power_Opower__class_Opower( X, Y, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ) = c_Groups_Oone__class_Oone( X ), Y = 
% 8.15/8.49    c_Groups_Oone__class_Oone( X ), Y = c_Groups_Ouminus__class_Ouminus( X, 
% 8.15/8.49    c_Groups_Oone__class_Oone( X ) ) }.
% 8.15/8.49  (22249) {G0,W17,D6,L3,V2,M3}  { ! class_Rings_Oring__1__no__zero__divisors
% 8.15/8.49    ( X ), ! Y = c_Groups_Oone__class_Oone( X ), c_Power_Opower__class_Opower
% 8.15/8.49    ( X, Y, c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( 
% 8.15/8.49    c_Int_OBit1( c_Int_OPls ) ) ) ) = c_Groups_Oone__class_Oone( X ) }.
% 8.15/8.49  (22250) {G0,W19,D6,L3,V2,M3}  { ! class_Rings_Oring__1__no__zero__divisors
% 8.15/8.49    ( X ), ! Y = c_Groups_Ouminus__class_Ouminus( X, 
% 8.15/8.49    c_Groups_Oone__class_Oone( X ) ), c_Power_Opower__class_Opower( X, Y, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ) = c_Groups_Oone__class_Oone( X ) }.
% 8.15/8.49  (22251) {G0,W26,D8,L2,V3,M2}  { ! class_Rings_Ocomm__semiring__1( X ), 
% 8.15/8.49    c_Power_Opower__class_Opower( X, Z, hAPP( c_Groups_Otimes__class_Otimes( 
% 8.15/8.49    tc_Nat_Onat, c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( 
% 8.15/8.49    c_Int_OBit1( c_Int_OPls ) ) ) ), Y ) ) = hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( X, c_Power_Opower__class_Opower( X, Z, Y )
% 8.15/8.49     ), c_Power_Opower__class_Opower( X, Z, Y ) ) }.
% 8.15/8.49  (22252) {G0,W29,D8,L2,V3,M2}  { ! class_Rings_Oring__1( X ), 
% 8.15/8.49    c_Power_Opower__class_Opower( X, c_Groups_Ouminus__class_Ouminus( X, Z )
% 8.15/8.49    , hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ), Y ) ) = c_Power_Opower__class_Opower( X, Z, hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ), Y ) ) }.
% 8.15/8.49  (22253) {G0,W25,D7,L2,V2,M2}  { ! c_Groups_Oplus__class_Oplus( 
% 8.15/8.49    tc_RealDef_Oreal, c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ) ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y
% 8.15/8.49     = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 8.15/8.49  (22254) {G0,W25,D7,L2,V2,M2}  { ! c_Groups_Oplus__class_Oplus( 
% 8.15/8.49    tc_RealDef_Oreal, c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ) ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X
% 8.15/8.49     = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 8.15/8.49  (22255) {G0,W29,D7,L3,V2,M3}  { ! Y = c_Groups_Ozero__class_Ozero( 
% 8.15/8.49    tc_RealDef_Oreal ), ! X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal )
% 8.15/8.49    , c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, 
% 8.15/8.49    c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ) ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal )
% 8.15/8.49     }.
% 8.15/8.49  (22256) {G0,W34,D8,L1,V1,M1}  { hAPP( c_Groups_Otimes__class_Otimes( 
% 8.15/8.49    tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, 
% 8.15/8.49    c_Int_OBit0( c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ), 
% 8.15/8.49    c_Power_Opower__class_Opower( tc_RealDef_Oreal, X, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ) ) = c_Power_Opower__class_Opower( tc_RealDef_Oreal, 
% 8.15/8.49    hAPP( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0( 
% 8.15/8.49    c_Int_OBit1( c_Int_OPls ) ) ) ), X ), c_Int_Onumber__class_Onumber__of( 
% 8.15/8.49    tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 8.15/8.49  (22257) {G0,W12,D6,L1,V1,M1}  { c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_RealDef_Oreal, c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), 
% 8.15/8.49    c_Power_Opower__class_Opower( tc_RealDef_Oreal, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0( 
% 8.15/8.49    c_Int_OBit1( c_Int_OPls ) ) ), X ) ) }.
% 8.15/8.49  (22258) {G0,W20,D7,L1,V2,M1}  { c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, 
% 8.15/8.49    c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ) ) }.
% 8.15/8.49  (22259) {G0,W29,D6,L4,V3,M4}  { ! class_Rings_Olinordered__semidom( X ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless( X, c_Power_Opower__class_Opower( X, Z, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( X, Y, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ) ), ! c_Orderings_Oord__class_Oless__eq( X, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless( X, 
% 8.15/8.49    Z, Y ) }.
% 8.15/8.49  (22260) {G0,W24,D7,L2,V3,M2}  { ! class_Rings_Olinordered__idom( X ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( X, c_Power_Opower__class_Opower( X, Z, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( X, Y, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ) ) ) }.
% 8.15/8.49  (22261) {G0,W28,D7,L3,V3,M3}  { ! class_Rings_Olinordered__idom( X ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, 
% 8.15/8.49    c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of( 
% 8.15/8.49    tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ), 
% 8.15/8.49    c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of( 
% 8.15/8.49    tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ), 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( X ) ), Z = c_Groups_Ozero__class_Ozero( X )
% 8.15/8.49     }.
% 8.15/8.49  (22262) {G0,W28,D7,L3,V3,M3}  { ! class_Rings_Olinordered__idom( X ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, 
% 8.15/8.49    c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of( 
% 8.15/8.49    tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ), 
% 8.15/8.49    c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of( 
% 8.15/8.49    tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ), 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( X ) ), Y = c_Groups_Ozero__class_Ozero( X )
% 8.15/8.49     }.
% 8.15/8.49  (22263) {G0,W32,D7,L4,V3,M4}  { ! class_Rings_Olinordered__idom( X ), ! Z =
% 8.15/8.49     c_Groups_Ozero__class_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X )
% 8.15/8.49    , c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, 
% 8.15/8.49    c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of( 
% 8.15/8.49    tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ), 
% 8.15/8.49    c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of( 
% 8.15/8.49    tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ), 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( X ) ) }.
% 8.15/8.49  (22264) {G0,W24,D7,L2,V3,M2}  { ! class_Rings_Olinordered__idom( X ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, 
% 8.15/8.49    c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of( 
% 8.15/8.49    tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ), 
% 8.15/8.49    c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of( 
% 8.15/8.49    tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ), 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( X ) ) }.
% 8.15/8.49  (22265) {G0,W32,D7,L4,V3,M4}  { ! class_Rings_Olinordered__idom( X ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( X, c_Power_Opower__class_Opower( X, Z, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( X, Y, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ) ) ), ! Z = c_Groups_Ozero__class_Ozero( X ), ! Y = 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( X ) }.
% 8.15/8.49  (22266) {G0,W28,D7,L3,V3,M3}  { ! class_Rings_Olinordered__idom( X ), Z = 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless( X, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, 
% 8.15/8.49    c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of( 
% 8.15/8.49    tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ), 
% 8.15/8.49    c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of( 
% 8.15/8.49    tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) ) }.
% 8.15/8.49  (22267) {G0,W28,D7,L3,V3,M3}  { ! class_Rings_Olinordered__idom( X ), Y = 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless( X, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, 
% 8.15/8.49    c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of( 
% 8.15/8.49    tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ), 
% 8.15/8.49    c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of( 
% 8.15/8.49    tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) ) }.
% 8.15/8.49  (22268) {G0,W47,D10,L2,V3,M2}  { ! class_Int_Onumber__ring( X ), 
% 8.15/8.49    c_Power_Opower__class_Opower( X, c_Groups_Oplus__class_Oplus( X, Z, Y ), 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ) = c_Groups_Oplus__class_Oplus( X, 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( X, c_Power_Opower__class_Opower( X, Z, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( X, Y, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ) ), hAPP( c_Groups_Otimes__class_Otimes( X, hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, 
% 8.15/8.49    c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ), Z ) ), Y ) ) }.
% 8.15/8.49  (22269) {G0,W22,D8,L3,V3,M3}  { ! class_Rings_Olinordered__idom( X ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( X, c_Power_Opower__class_Opower( X, Y
% 8.15/8.49    , hAPP( c_Groups_Otimes__class_Otimes( tc_Nat_Onat, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ), Z ) ), c_Groups_Ozero__class_Ozero( X ) ), Y = 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( X ) }.
% 8.15/8.49  (22270) {G0,W18,D8,L2,V3,M2}  { ! class_Rings_Olinordered__idom( X ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), 
% 8.15/8.49    c_Power_Opower__class_Opower( X, Z, hAPP( c_Groups_Otimes__class_Otimes( 
% 8.15/8.49    tc_Nat_Onat, c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( 
% 8.15/8.49    c_Int_OBit1( c_Int_OPls ) ) ) ), Y ) ) ) }.
% 8.15/8.49  (22271) {G0,W20,D8,L2,V2,M2}  { ! class_Rings_Oring__1( X ), 
% 8.15/8.49    c_Power_Opower__class_Opower( X, c_Groups_Ouminus__class_Ouminus( X, 
% 8.15/8.49    c_Groups_Oone__class_Oone( X ) ), hAPP( c_Groups_Otimes__class_Otimes( 
% 8.15/8.49    tc_Nat_Onat, c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( 
% 8.15/8.49    c_Int_OBit1( c_Int_OPls ) ) ) ), Y ) ) = c_Groups_Oone__class_Oone( X )
% 8.15/8.49     }.
% 8.15/8.49  (22272) {G0,W20,D6,L3,V2,M3}  { ! c_Power_Opower__class_Opower( 
% 8.15/8.49    tc_RealDef_Oreal, Y, c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, 
% 8.15/8.49    c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) = X, ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), hAPP( 
% 8.15/8.49    c_NthRoot_Osqrt, X ) = Y }.
% 8.15/8.49  (22273) {G0,W17,D6,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), 
% 8.15/8.49    c_Power_Opower__class_Opower( tc_RealDef_Oreal, hAPP( c_NthRoot_Osqrt, X
% 8.15/8.49     ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( 
% 8.15/8.49    c_Int_OBit1( c_Int_OPls ) ) ) ) = X }.
% 8.15/8.49  (22274) {G0,W17,D6,L2,V1,M2}  { ! c_Power_Opower__class_Opower( 
% 8.15/8.49    tc_RealDef_Oreal, hAPP( c_NthRoot_Osqrt, X ), 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ) = X, c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X )
% 8.15/8.49     }.
% 8.15/8.49  (22275) {G0,W17,D6,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), 
% 8.15/8.49    c_Power_Opower__class_Opower( tc_RealDef_Oreal, hAPP( c_NthRoot_Osqrt, X
% 8.15/8.49     ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( 
% 8.15/8.49    c_Int_OBit1( c_Int_OPls ) ) ) ) = X }.
% 8.15/8.49  (22276) {G0,W19,D6,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), 
% 8.15/8.49    c_Power_Opower__class_Opower( tc_RealDef_Oreal, hAPP( c_NthRoot_Osqrt, X
% 8.15/8.49     ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( 
% 8.15/8.49    c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 8.15/8.49  (22277) {G0,W23,D8,L1,V2,M1}  { c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_RealDef_Oreal, Y, hAPP( c_NthRoot_Osqrt, c_Groups_Oplus__class_Oplus( 
% 8.15/8.49    tc_RealDef_Oreal, c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ) ) ) ) }.
% 8.15/8.49  (22278) {G0,W23,D8,L1,V2,M1}  { c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_RealDef_Oreal, Y, hAPP( c_NthRoot_Osqrt, c_Groups_Oplus__class_Oplus( 
% 8.15/8.49    tc_RealDef_Oreal, c_Power_Opower__class_Opower( tc_RealDef_Oreal, X, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ) ) ) ) }.
% 8.15/8.49  (22279) {G0,W70,D9,L1,V4,M1}  { c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_RealDef_Oreal, hAPP( c_NthRoot_Osqrt, c_Groups_Oplus__class_Oplus( 
% 8.15/8.49    tc_RealDef_Oreal, c_Power_Opower__class_Opower( tc_RealDef_Oreal, 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, T, Z ), 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ), 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ) ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, 
% 8.15/8.49    hAPP( c_NthRoot_Osqrt, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, 
% 8.15/8.49    c_Power_Opower__class_Opower( tc_RealDef_Oreal, T, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ) ) ), hAPP( c_NthRoot_Osqrt, 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, 
% 8.15/8.49    c_Power_Opower__class_Opower( tc_RealDef_Oreal, Z, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ) ) ) ) ) }.
% 8.15/8.49  (22280) {G0,W26,D8,L2,V2,M2}  { ! hAPP( c_NthRoot_Osqrt, 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, 
% 8.15/8.49    c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ) ) ) = Y, X = c_Groups_Ozero__class_Ozero( 
% 8.15/8.49    tc_RealDef_Oreal ) }.
% 8.15/8.49  (22281) {G0,W26,D8,L2,V2,M2}  { ! hAPP( c_NthRoot_Osqrt, 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, 
% 8.15/8.49    c_Power_Opower__class_Opower( tc_RealDef_Oreal, X, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ) ) ) = Y, X = c_Groups_Ozero__class_Ozero( 
% 8.15/8.49    tc_RealDef_Oreal ) }.
% 8.15/8.49  (22282) {G0,W88,D11,L1,V4,M1}  { c_Power_Opower__class_Opower( 
% 8.15/8.49    tc_RealDef_Oreal, hAPP( c_NthRoot_Osqrt, hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, 
% 8.15/8.49    c_Power_Opower__class_Opower( tc_RealDef_Oreal, T, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, Z, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ) ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, 
% 8.15/8.49    c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ) ) ) ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, 
% 8.15/8.49    c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) = hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, 
% 8.15/8.49    c_Power_Opower__class_Opower( tc_RealDef_Oreal, T, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, Z, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ) ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, 
% 8.15/8.49    c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ) ) ) }.
% 8.15/8.49  (22283) {G0,W24,D8,L1,V2,M1}  { c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), hAPP( 
% 8.15/8.49    c_NthRoot_Osqrt, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, 
% 8.15/8.49    c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ) ) ) ) }.
% 8.15/8.49  (22284) {G0,W21,D6,L2,V1,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), 
% 8.15/8.49    c_Power_Opower__class_Opower( tc_RealDef_Oreal, 
% 8.15/8.49    c_Rings_Oinverse__class_Oinverse( tc_RealDef_Oreal, hAPP( c_NthRoot_Osqrt
% 8.15/8.49    , X ) ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( 
% 8.15/8.49    c_Int_OBit1( c_Int_OPls ) ) ) ) = c_Rings_Oinverse__class_Oinverse( 
% 8.15/8.49    tc_RealDef_Oreal, X ) }.
% 8.15/8.49  (22285) {G0,W45,D10,L1,V2,M1}  { c_Power_Opower__class_Opower( 
% 8.15/8.49    tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ), 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ) = c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, 
% 8.15/8.49    c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ) ), hAPP( c_Groups_Otimes__class_Otimes( 
% 8.15/8.49    tc_RealDef_Oreal, hAPP( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0( 
% 8.15/8.49    c_Int_OBit1( c_Int_OPls ) ) ) ), Y ) ), X ) ) }.
% 8.15/8.49  (22286) {G0,W26,D3,L5,V4,M5}  { ! class_Rings_Olinordered__semidom( X ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless( X, Z, Y ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 8.15/8.49     ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), T ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( X, c_Power_Opower__class_Opower( X, Z, T )
% 8.15/8.49    , c_Power_Opower__class_Opower( X, Y, T ) ) }.
% 8.15/8.49  (22287) {G0,W19,D3,L3,V3,M3}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Power_Opower__class_Opower
% 8.15/8.49    ( tc_Nat_Onat, X, Z ), c_Power_Opower__class_Opower( tc_Nat_Onat, X, Y )
% 8.15/8.49     ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y ) }.
% 8.15/8.49  (22288) {G0,W17,D3,L3,V2,M3}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), 
% 8.15/8.49    c_Power_Opower__class_Opower( tc_Nat_Onat, Y, X ) ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( 
% 8.15/8.49    tc_Nat_Onat ), Y ), X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 8.15/8.49  (22289) {G0,W13,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( 
% 8.15/8.49    tc_Nat_Onat ), c_Power_Opower__class_Opower( tc_Nat_Onat, Y, X ) ) }.
% 8.15/8.49  (22290) {G0,W12,D3,L2,V2,M2}  { ! X = c_Groups_Ozero__class_Ozero( 
% 8.15/8.49    tc_Nat_Onat ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Power_Opower__class_Opower
% 8.15/8.49    ( tc_Nat_Onat, Y, X ) ) }.
% 8.15/8.49  (22291) {G0,W13,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_Int_Oint, c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Power_Opower__class_Opower
% 8.15/8.49    ( tc_Int_Oint, X, Y ) ) }.
% 8.15/8.49  (22292) {G0,W19,D5,L1,V3,M1}  { c_Power_Opower__class_Opower( tc_Int_Oint, 
% 8.15/8.49    Z, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) = hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Power_Opower__class_Opower
% 8.15/8.49    ( tc_Int_Oint, Z, Y ) ), c_Power_Opower__class_Opower( tc_Int_Oint, Z, X
% 8.15/8.49     ) ) }.
% 8.15/8.49  (22293) {G0,W16,D5,L1,V3,M1}  { c_Power_Opower__class_Opower( tc_Int_Oint, 
% 8.15/8.49    c_Power_Opower__class_Opower( tc_Int_Oint, Z, Y ), X ) = 
% 8.15/8.49    c_Power_Opower__class_Opower( tc_Int_Oint, Z, hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y ), X ) ) }.
% 8.15/8.49  (22294) {G0,W17,D3,L3,V2,M3}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), 
% 8.15/8.49    c_Power_Opower__class_Opower( tc_Nat_Onat, Y, X ) ), X = 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Orderings_Oord__class_Oless
% 8.15/8.49    ( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y ) }.
% 8.15/8.49  (22295) {G0,W12,D3,L2,V2,M2}  { ! X = c_Groups_Ozero__class_Ozero( 
% 8.15/8.49    tc_Nat_Onat ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Power_Opower__class_Opower
% 8.15/8.49    ( tc_Nat_Onat, Y, X ) ) }.
% 8.15/8.49  (22296) {G0,W13,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( 
% 8.15/8.49    tc_Nat_Onat ), c_Power_Opower__class_Opower( tc_Nat_Onat, Y, X ) ) }.
% 8.15/8.49  (22297) {G0,W21,D4,L3,V2,M3}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), 
% 8.15/8.49    c_Power_Opower__class_Opower( tc_Nat_Onat, Y, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) ), 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) = 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Orderings_Oord__class_Oless
% 8.15/8.49    ( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y ) }.
% 8.15/8.49  (22298) {G0,W16,D4,L2,V2,M2}  { ! c_Int_Onumber__class_Onumber__of( 
% 8.15/8.49    tc_Nat_Onat, X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( 
% 8.15/8.49    tc_Nat_Onat ), c_Power_Opower__class_Opower( tc_Nat_Onat, Y, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) ) }.
% 8.15/8.49  (22299) {G0,W15,D4,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( 
% 8.15/8.49    tc_Nat_Onat ), c_Power_Opower__class_Opower( tc_Nat_Onat, Y, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) ) }.
% 8.15/8.49  (22300) {G0,W13,D3,L3,V3,M3}  { ! class_Rings_Oring__1__no__zero__divisors
% 8.15/8.49    ( X ), Y = c_Groups_Ozero__class_Ozero( X ), ! 
% 8.15/8.49    c_Power_Opower__class_Opower( X, Y, Z ) = c_Groups_Ozero__class_Ozero( X
% 8.15/8.49     ) }.
% 8.15/8.49  (22301) {G0,W22,D5,L2,V4,M2}  { ! class_Groups_Ocomm__monoid__mult( X ), 
% 8.15/8.49    c_Power_Opower__class_Opower( X, hAPP( c_Groups_Otimes__class_Otimes( X, 
% 8.15/8.49    T ), Z ), Y ) = hAPP( c_Groups_Otimes__class_Otimes( X, 
% 8.15/8.49    c_Power_Opower__class_Opower( X, T, Y ) ), c_Power_Opower__class_Opower( 
% 8.15/8.49    X, Z, Y ) ) }.
% 8.15/8.49  (22302) {G0,W19,D5,L2,V3,M2}  { ! class_Groups_Omonoid__mult( X ), hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( X, c_Power_Opower__class_Opower( X, Z, Y )
% 8.15/8.49     ), Z ) = hAPP( c_Groups_Otimes__class_Otimes( X, Z ), 
% 8.15/8.49    c_Power_Opower__class_Opower( X, Z, Y ) ) }.
% 8.15/8.49  (22303) {G0,W10,D4,L2,V2,M2}  { ! class_Groups_Omonoid__mult( X ), 
% 8.15/8.49    c_Power_Opower__class_Opower( X, c_Groups_Oone__class_Oone( X ), Y ) = 
% 8.15/8.49    c_Groups_Oone__class_Oone( X ) }.
% 8.15/8.49  (22304) {G0,W20,D4,L2,V4,M2}  { ! class_Fields_Ofield__inverse__zero( X ), 
% 8.15/8.49    c_Power_Opower__class_Opower( X, c_Rings_Oinverse__class_Odivide( X, T, Z
% 8.15/8.49     ), Y ) = c_Rings_Oinverse__class_Odivide( X, 
% 8.15/8.49    c_Power_Opower__class_Opower( X, T, Y ), c_Power_Opower__class_Opower( X
% 8.15/8.49    , Z, Y ) ) }.
% 8.15/8.49  (22305) {G0,W18,D5,L2,V4,M2}  { ! class_Groups_Omonoid__mult( X ), 
% 8.15/8.49    c_Power_Opower__class_Opower( X, T, hAPP( c_Groups_Otimes__class_Otimes( 
% 8.15/8.49    tc_Nat_Onat, Z ), Y ) ) = c_Power_Opower__class_Opower( X, 
% 8.15/8.49    c_Power_Opower__class_Opower( X, T, Z ), Y ) }.
% 8.15/8.49  (22306) {G0,W15,D4,L2,V3,M2}  { ! 
% 8.15/8.49    class_Rings_Odivision__ring__inverse__zero( X ), 
% 8.15/8.49    c_Rings_Oinverse__class_Oinverse( X, c_Power_Opower__class_Opower( X, Z, 
% 8.15/8.49    Y ) ) = c_Power_Opower__class_Opower( X, c_Rings_Oinverse__class_Oinverse
% 8.15/8.49    ( X, Z ), Y ) }.
% 8.15/8.49  (22307) {G0,W9,D4,L2,V2,M2}  { ! class_Groups_Omonoid__mult( X ), 
% 8.15/8.49    c_Power_Opower__class_Opower( X, Y, c_Groups_Oone__class_Oone( 
% 8.15/8.49    tc_Nat_Onat ) ) = Y }.
% 8.15/8.49  (22308) {G0,W15,D3,L3,V3,M3}  { ! class_Rings_Olinordered__semidom( X ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 8.15/8.49     ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 8.15/8.49     ), c_Power_Opower__class_Opower( X, Y, Z ) ) }.
% 8.15/8.49  (22309) {G0,W21,D3,L4,V4,M4}  { ! class_Rings_Olinordered__semidom( X ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 8.15/8.49     ), c_Orderings_Oord__class_Oless__eq( X, c_Power_Opower__class_Opower( X
% 8.15/8.49    , Z, T ), c_Power_Opower__class_Opower( X, Y, T ) ) }.
% 8.15/8.49  (22310) {G0,W15,D3,L3,V3,M3}  { ! class_Rings_Olinordered__semidom( X ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), 
% 8.15/8.49    c_Power_Opower__class_Opower( X, Y, Z ) ) }.
% 8.15/8.49  (22311) {G0,W15,D3,L3,V3,M3}  { ! class_Rings_Olinordered__semidom( X ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ), Y )
% 8.15/8.49    , c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ), 
% 8.15/8.49    c_Power_Opower__class_Opower( X, Y, Z ) ) }.
% 8.15/8.49  (22312) {G0,W19,D3,L6,V3,M6}  { ! class_Power_Opower( X ), ! 
% 8.15/8.49    class_Rings_Omult__zero( X ), ! class_Rings_Ono__zero__divisors( X ), ! 
% 8.15/8.49    class_Rings_Ozero__neq__one( X ), ! c_Power_Opower__class_Opower( X, Z, Y
% 8.15/8.49     ) = c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X
% 8.15/8.49     ) }.
% 8.15/8.49  (22313) {G0,W19,D3,L6,V3,M6}  { ! class_Power_Opower( X ), ! 
% 8.15/8.49    class_Rings_Omult__zero( X ), ! class_Rings_Ono__zero__divisors( X ), ! 
% 8.15/8.49    class_Rings_Ozero__neq__one( X ), ! c_Power_Opower__class_Opower( X, Z, Y
% 8.15/8.49     ) = c_Groups_Ozero__class_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero
% 8.15/8.49    ( tc_Nat_Onat ) }.
% 8.15/8.49  (22314) {G0,W23,D3,L7,V3,M7}  { ! class_Power_Opower( X ), ! 
% 8.15/8.49    class_Rings_Omult__zero( X ), ! class_Rings_Ono__zero__divisors( X ), ! 
% 8.15/8.49    class_Rings_Ozero__neq__one( X ), ! Z = c_Groups_Ozero__class_Ozero( X )
% 8.15/8.49    , Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), 
% 8.15/8.49    c_Power_Opower__class_Opower( X, Z, Y ) = c_Groups_Ozero__class_Ozero( X
% 8.15/8.49     ) }.
% 8.15/8.49  (22315) {G0,W19,D3,L4,V4,M4}  { ! class_Rings_Olinordered__semidom( X ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ), Y ), ! 
% 8.15/8.49    c_Power_Opower__class_Opower( X, Y, T ) = c_Power_Opower__class_Opower( X
% 8.15/8.49    , Y, Z ), T = Z }.
% 8.15/8.49  (22316) {G0,W19,D3,L4,V4,M4}  { ! class_Rings_Olinordered__semidom( X ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ), Y ), ! 
% 8.15/8.49    T = Z, c_Power_Opower__class_Opower( X, Y, T ) = 
% 8.15/8.49    c_Power_Opower__class_Opower( X, Y, Z ) }.
% 8.15/8.49  (22317) {G0,W24,D4,L3,V4,M3}  { ! class_Fields_Ofield( X ), Y = 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( X ), c_Power_Opower__class_Opower( X, 
% 8.15/8.49    c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ) = 
% 8.15/8.49    c_Rings_Oinverse__class_Odivide( X, c_Power_Opower__class_Opower( X, T, Z
% 8.15/8.49     ), c_Power_Opower__class_Opower( X, Y, Z ) ) }.
% 8.15/8.49  (22318) {G0,W10,D4,L2,V2,M2}  { ! class_Power_Opower( X ), 
% 8.15/8.49    c_Power_Opower__class_Opower( X, Y, c_Groups_Ozero__class_Ozero( 
% 8.15/8.49    tc_Nat_Onat ) ) = c_Groups_Oone__class_Oone( X ) }.
% 8.15/8.49  (22319) {G0,W21,D5,L2,V4,M2}  { ! class_Groups_Omonoid__mult( X ), 
% 8.15/8.49    c_Power_Opower__class_Opower( X, T, c_Groups_Oplus__class_Oplus( 
% 8.15/8.49    tc_Nat_Onat, Z, Y ) ) = hAPP( c_Groups_Otimes__class_Otimes( X, 
% 8.15/8.49    c_Power_Opower__class_Opower( X, T, Z ) ), c_Power_Opower__class_Opower( 
% 8.15/8.49    X, T, Y ) ) }.
% 8.15/8.49  (22320) {G0,W19,D5,L2,V3,M2}  { ! class_Fields_Ofield__inverse__zero( X ), 
% 8.15/8.49    c_Rings_Oinverse__class_Odivide( X, c_Groups_Oone__class_Oone( X ), 
% 8.15/8.49    c_Power_Opower__class_Opower( X, Z, Y ) ) = c_Power_Opower__class_Opower
% 8.15/8.49    ( X, c_Rings_Oinverse__class_Odivide( X, c_Groups_Oone__class_Oone( X ), 
% 8.15/8.49    Z ), Y ) }.
% 8.15/8.49  (22321) {G0,W19,D4,L3,V3,M3}  { ! class_Rings_Odivision__ring( X ), Y = 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Oinverse( X, 
% 8.15/8.49    c_Power_Opower__class_Opower( X, Y, Z ) ) = c_Power_Opower__class_Opower
% 8.15/8.49    ( X, c_Rings_Oinverse__class_Oinverse( X, Y ), Z ) }.
% 8.15/8.49  (22322) {G0,W21,D3,L4,V4,M4}  { ! class_Rings_Olinordered__semidom( X ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless( X, c_Power_Opower__class_Opower( X, Z, T )
% 8.15/8.49    , c_Power_Opower__class_Opower( X, Y, T ) ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 8.15/8.49     ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 8.15/8.49  (22323) {G0,W19,D4,L3,V3,M3}  { ! class_Rings_Olinordered__semidom( X ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ), Y ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ), hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( X, Y ), c_Power_Opower__class_Opower( X, Y
% 8.15/8.49    , Z ) ) ) }.
% 8.15/8.49  (22324) {G0,W21,D4,L3,V3,M3}  { ! class_Rings_Olinordered__semidom( X ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ), Y ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( X, c_Power_Opower__class_Opower( X, Y, Z )
% 8.15/8.49    , hAPP( c_Groups_Otimes__class_Otimes( X, Y ), 
% 8.15/8.49    c_Power_Opower__class_Opower( X, Y, Z ) ) ) }.
% 8.15/8.49  (22325) {G0,W16,D4,L4,V2,M4}  { ! class_Power_Opower( X ), ! 
% 8.15/8.49    class_Rings_Osemiring__0( X ), ! Y = c_Groups_Ozero__class_Ozero( 
% 8.15/8.49    tc_Nat_Onat ), c_Power_Opower__class_Opower( X, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Oone__class_Oone( X )
% 8.15/8.49     }.
% 8.15/8.49  (22326) {G0,W16,D4,L4,V2,M4}  { ! class_Power_Opower( X ), ! 
% 8.15/8.49    class_Rings_Osemiring__0( X ), Y = c_Groups_Ozero__class_Ozero( 
% 8.15/8.49    tc_Nat_Onat ), c_Power_Opower__class_Opower( X, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ozero__class_Ozero( X )
% 8.15/8.49     }.
% 8.15/8.49  (22327) {G0,W23,D7,L2,V3,M2}  { ! class_Rings_Oring__1( X ), 
% 8.15/8.49    c_Power_Opower__class_Opower( X, c_Groups_Ouminus__class_Ouminus( X, Z )
% 8.15/8.49    , Y ) = hAPP( c_Groups_Otimes__class_Otimes( X, 
% 8.15/8.49    c_Power_Opower__class_Opower( X, c_Groups_Ouminus__class_Ouminus( X, 
% 8.15/8.49    c_Groups_Oone__class_Oone( X ) ), Y ) ), c_Power_Opower__class_Opower( X
% 8.15/8.49    , Z, Y ) ) }.
% 8.15/8.49  (22328) {G0,W21,D3,L4,V4,M4}  { ! class_Rings_Olinordered__semidom( X ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ), Y ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless( X, c_Power_Opower__class_Opower( X, Y, T )
% 8.15/8.49    , c_Power_Opower__class_Opower( X, Y, Z ) ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Nat_Onat, T, Z ) }.
% 8.15/8.49  (22329) {G0,W21,D3,L4,V4,M4}  { ! class_Rings_Olinordered__semidom( X ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ), Y ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Nat_Onat, T, Z ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( X, c_Power_Opower__class_Opower( X, Y, T )
% 8.15/8.49    , c_Power_Opower__class_Opower( X, Y, Z ) ) }.
% 8.15/8.49  (22330) {G0,W21,D3,L4,V4,M4}  { ! class_Rings_Olinordered__semidom( X ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ), Y ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless( X, c_Power_Opower__class_Opower( X, Y, T )
% 8.15/8.49    , c_Power_Opower__class_Opower( X, Y, Z ) ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Nat_Onat, T, Z ) }.
% 8.15/8.49  (22331) {G0,W21,D3,L4,V4,M4}  { ! class_Rings_Olinordered__semidom( X ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ), T ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( X, c_Power_Opower__class_Opower( X, T, Z )
% 8.15/8.49    , c_Power_Opower__class_Opower( X, T, Y ) ) }.
% 8.15/8.49  (22332) {G0,W21,D3,L4,V4,M4}  { ! class_Rings_Olinordered__semidom( X ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, Y ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ), T )
% 8.15/8.49    , c_Orderings_Oord__class_Oless__eq( X, c_Power_Opower__class_Opower( X, 
% 8.15/8.49    T, Z ), c_Power_Opower__class_Opower( X, T, Y ) ) }.
% 8.15/8.49  (22333) {G0,W26,D4,L4,V3,M4}  { ! class_Rings_Olinordered__semidom( X ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ), 
% 8.15/8.49    ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Oone__class_Oone( X ) ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( X, hAPP( c_Groups_Otimes__class_Otimes( X
% 8.15/8.49    , Y ), c_Power_Opower__class_Opower( X, Y, Z ) ), 
% 8.15/8.49    c_Power_Opower__class_Opower( X, Y, Z ) ) }.
% 8.15/8.49  (22334) {G0,W26,D3,L5,V4,M5}  { ! class_Rings_Olinordered__semidom( X ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ), 
% 8.15/8.49    ! c_Orderings_Oord__class_Oless( X, T, c_Groups_Oone__class_Oone( X ) ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( X, c_Power_Opower__class_Opower( X, T, Y )
% 8.15/8.49    , c_Power_Opower__class_Opower( X, T, Z ) ) }.
% 8.15/8.49  (22335) {G0,W29,D3,L6,V4,M6}  { ! class_Rings_Olinordered__semidom( X ), ! 
% 8.15/8.49    c_Power_Opower__class_Opower( X, T, Z ) = c_Power_Opower__class_Opower( X
% 8.15/8.49    , Y, Z ), ! c_Orderings_Oord__class_Oless__eq( X, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( X ), T ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 8.15/8.49     ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Z ), T = Y }.
% 8.15/8.49  (22336) {G0,W26,D3,L5,V4,M5}  { ! class_Rings_Olinordered__semidom( X ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, Y ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 8.15/8.49     ), ! c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Oone__class_Oone
% 8.15/8.49    ( X ) ), c_Orderings_Oord__class_Oless__eq( X, 
% 8.15/8.49    c_Power_Opower__class_Opower( X, T, Y ), c_Power_Opower__class_Opower( X
% 8.15/8.49    , T, Z ) ) }.
% 8.15/8.49  (22337) {G0,W21,D3,L4,V4,M4}  { ! class_Rings_Olinordered__semidom( X ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ), Y ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( X, c_Power_Opower__class_Opower( X, Y
% 8.15/8.49    , T ), c_Power_Opower__class_Opower( X, Y, Z ) ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, Z ) }.
% 8.15/8.49  (22338) {G0,W21,D3,L4,V4,M4}  { ! class_Rings_Olinordered__semidom( X ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ), Y ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, Z ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( X, c_Power_Opower__class_Opower( X, Y
% 8.15/8.49    , T ), c_Power_Opower__class_Opower( X, Y, Z ) ) }.
% 8.15/8.49  (22339) {G0,W21,D3,L4,V4,M4}  { ! class_Rings_Olinordered__semidom( X ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ), Y ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( X, c_Power_Opower__class_Opower( X, Y
% 8.15/8.49    , T ), c_Power_Opower__class_Opower( X, Y, Z ) ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, Z ) }.
% 8.15/8.49  (22340) {G0,W20,D3,L4,V3,M4}  { ! class_Rings_Olinordered__semidom( X ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ), Y ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( 
% 8.15/8.49    tc_Nat_Onat ), Z ), c_Orderings_Oord__class_Oless( X, 
% 8.15/8.49    c_Groups_Oone__class_Oone( X ), c_Power_Opower__class_Opower( X, Y, Z ) )
% 8.15/8.49     }.
% 8.15/8.49  (22341) {G0,W11,D6,L1,V1,M1}  { c_Power_Opower__class_Opower( 
% 8.15/8.49    tc_Complex_Ocomplex, c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt( X
% 8.15/8.49     ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( 
% 8.15/8.49    c_Int_OBit1( c_Int_OPls ) ) ) ) = X }.
% 8.15/8.49  (22342) {G0,W35,D12,L1,V1,M1}  { hAPP( c_Transcendental_Oarctan, X ) = hAPP
% 8.15/8.49    ( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0( 
% 8.15/8.49    c_Int_OBit1( c_Int_OPls ) ) ) ), hAPP( c_Transcendental_Oarctan, 
% 8.15/8.49    c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X, 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oone__class_Oone
% 8.15/8.49    ( tc_RealDef_Oreal ), hAPP( c_NthRoot_Osqrt, c_Groups_Oplus__class_Oplus
% 8.15/8.49    ( tc_RealDef_Oreal, c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), 
% 8.15/8.49    c_Power_Opower__class_Opower( tc_RealDef_Oreal, X, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ) ) ) ) ) ) ) }.
% 8.15/8.49  (22343) {G0,W7,D4,L1,V0,M1}  { hAPP( c_Transcendental_Oarctan, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) = 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 8.15/8.49  (22344) {G0,W11,D4,L1,V1,M1}  { hAPP( c_Transcendental_Oarctan, 
% 8.15/8.49    c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) ) = 
% 8.15/8.49    c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, hAPP( 
% 8.15/8.49    c_Transcendental_Oarctan, X ) ) }.
% 8.15/8.49  (22345) {G0,W12,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_RealDef_Oreal, Y, X ), c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_RealDef_Oreal, hAPP( c_Transcendental_Oarctan, Y ), hAPP( 
% 8.15/8.49    c_Transcendental_Oarctan, X ) ) }.
% 8.15/8.49  (22346) {G0,W12,D3,L2,V2,M2}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_RealDef_Oreal, Y, X ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal
% 8.15/8.49    , hAPP( c_Transcendental_Oarctan, Y ), hAPP( c_Transcendental_Oarctan, X
% 8.15/8.49     ) ) }.
% 8.15/8.49  (22347) {G0,W18,D8,L1,V1,M1}  { c_Deriv_Oderiv( tc_RealDef_Oreal, 
% 8.15/8.49    c_Transcendental_Oarctan, X, c_Rings_Oinverse__class_Oinverse( 
% 8.15/8.49    tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, 
% 8.15/8.49    c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), 
% 8.15/8.49    c_Power_Opower__class_Opower( tc_RealDef_Oreal, X, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ) ) ) ) }.
% 8.15/8.49  (22348) {G0,W29,D10,L1,V2,M1}  { c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, 
% 8.15/8.49    c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, hAPP( 
% 8.15/8.49    c_NthRoot_Osqrt, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, 
% 8.15/8.49    c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ) ) ) ) ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal )
% 8.15/8.49     ) }.
% 8.15/8.49  (22349) {G0,W53,D8,L3,V3,M3}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.49    tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Y ), 
% 8.15/8.49    c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X, hAPP( 
% 8.15/8.49    c_NthRoot_Osqrt, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, 
% 8.15/8.49    c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, 
% 8.15/8.49    c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Z ), 
% 8.15/8.49    c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X, hAPP( 
% 8.15/8.49    c_NthRoot_Osqrt, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, 
% 8.15/8.49    c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, hAPP( c_NthRoot_Osqrt, 
% 8.15/8.49    c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, 
% 8.15/8.49    c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, Z, 
% 8.15/8.49    c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( 
% 8.15/8.49    c_Int_OPls ) ) ) ) ) ), X ) }.
% 8.15/8.49  (22350) {G0,W12,D4,L2,V3,M2}  { ! class_Rings_Olinordered__idom( X ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), 
% 8.15/8.49    c_Power_Opower__class_Opower( X, c_Groups_Oabs__class_Oabs( X, Z ), Y ) )
% 8.15/8.49     }.
% 8.15/8.49  (22351) {G0,W15,D4,L2,V3,M2}  { ! class_Rings_Olinordered__idom( X ), 
% 8.15/8.49    c_Groups_Oabs__class_Oabs( X, c_Power_Opower__class_Opower( X, Z, Y ) ) =
% 8.15/8.49     c_Power_Opower__class_Opower( X, c_Groups_Oabs__class_Oabs( X, Z ), Y )
% 8.15/8.49     }.
% 8.15/8.49  (22352) {G0,W17,D5,L2,V3,M2}  { ! class_Rings_Olinordered__idom( X ), 
% 8.15/8.49    c_Groups_Oabs__class_Oabs( X, c_Power_Opower__class_Opower( X, 
% 8.15/8.49    c_Groups_Ouminus__class_Ouminus( X, Z ), Y ) ) = 
% 8.15/8.49    c_Groups_Oabs__class_Oabs( X, c_Power_Opower__class_Opower( X, Z, Y ) )
% 8.15/8.49     }.
% 8.15/8.49  (22353) {G0,W21,D4,L3,V3,M3}  { ! c_Orderings_Oord__class_Oless__eq( 
% 8.15/8.49    tc_RealDef_Oreal, X, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), !
% 8.15/8.49     c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, 
% 8.15/8.49    c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Y ), hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X ), 
% 8.15/8.49    c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Z ) ) ), Y = 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 8.15/8.49  (22354) {G0,W22,D5,L3,V3,M3}  { ! class_Rings_Olinordered__idom( X ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 8.15/8.49     ), hAPP( c_Groups_Otimes__class_Otimes( X, c_Groups_Oabs__class_Oabs( X
% 8.15/8.49    , Z ) ), Y ) = c_Groups_Oabs__class_Oabs( X, hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( X, Z ), Y ) ) }.
% 8.15/8.49  (22355) {G0,W27,D5,L4,V3,M4}  { ! class_Rings_Oordered__ring__abs( X ), 
% 8.15/8.49    alpha94( X, Z ), ! c_Orderings_Oord__class_Oless__eq( X, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( X ), Y ), c_Groups_Oabs__class_Oabs( X, hAPP
% 8.15/8.49    ( c_Groups_Otimes__class_Otimes( X, Z ), Y ) ) = hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( X, c_Groups_Oabs__class_Oabs( X, Z ) ), 
% 8.15/8.49    c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 8.15/8.49  (22356) {G0,W27,D5,L4,V3,M4}  { ! class_Rings_Oordered__ring__abs( X ), 
% 8.15/8.49    alpha94( X, Z ), ! c_Orderings_Oord__class_Oless__eq( X, Y, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( X ) ), c_Groups_Oabs__class_Oabs( X, hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( X, Z ), Y ) ) = hAPP( 
% 8.15/8.49    c_Groups_Otimes__class_Otimes( X, c_Groups_Oabs__class_Oabs( X, Z ) ), 
% 8.15/8.49    c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 8.15/8.49  (22357) {G0,W8,D3,L2,V2,M2}  { ! alpha94( X, Y ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 8.15/8.49     ) }.
% 8.15/8.49  (22358) {G0,W8,D3,L2,V2,M2}  { ! alpha94( X, Y ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 8.15/8.49     ) }.
% 8.15/8.49  (22359) {G0,W13,D3,L3,V2,M3}  { c_Orderings_Oord__class_Oless__eq( X, 
% 8.15/8.49    c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless__eq
% 8.15/8.49    ( X, Y, c_Groups_Ozero__class_Ozero( X ) ), alpha94( X, Y ) }.
% 8.15/8.49  (22360) {G0,W14,D3,L3,V2,M3}  { ! 
% 8.15/8.49    class_Groups_Oordered__ab__group__add__abs( X ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 8.15/8.49     ), c_Groups_Oabs__class_Oabs( X, Y ) = c_Groups_Ouminus__class_Ouminus( 
% 8.15/8.49    X, Y ) }.
% 8.15/8.49  (22361) {G0,W11,D4,L2,V2,M2}  { ! 
% 8.15/8.49    class_Groups_Oordered__ab__group__add__abs( X ), 
% 8.15/8.49    c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 8.15/8.49    , c_Groups_Oabs__class_Oabs( X, Y ) ), c_Groups_Ozero__class_Ozero( X ) )
% 8.15/8.49     }.
% 8.15/8.49  (22362) {G0,W14,D3,L3,V2,M3}  { ! 
% 8.15/8.49    class_Groups_Oordered__ab__group__add__abs( X ), ! 
% 8.15/8.49    c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ), 
% 8.15/8.49    c_Groups_Oabs__class_Oabs( X, Y ) = c_Groups_Ouminus__class_Ouminus( X, Y
% 8.15/8.50     ) }.
% 8.15/8.50  (22363) {G0,W14,D3,L3,V2,M3}  { ! class_Groups_Oabs__if( X ), ! 
% 8.15/8.50    c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ), 
% 8.15/8.50    c_Groups_Oabs__class_Oabs( X, Y ) = c_Groups_Ouminus__class_Ouminus( X, Y
% 8.15/8.50     ) }.
% 8.15/8.50  (22364) {G0,W12,D3,L3,V2,M3}  { ! class_Groups_Oabs__if( X ), 
% 8.15/8.50    c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ), 
% 8.15/8.50    c_Groups_Oabs__class_Oabs( X, Y ) = Y }.
% 8.15/8.50  (22365) {G0,W20,D4,L3,V3,M3}  { ! 
% 8.15/8.50    class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 8.15/8.50    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ), 
% 8.15/8.50    c_Rings_Oinverse__class_Odivide( X, c_Groups_Oabs__class_Oabs( X, Z ), Y
% 8.15/8.50     ) = c_Groups_Oabs__class_Oabs( X, c_Rings_Oinverse__class_Odivide( X, Z
% 8.15/8.50    , Y ) ) }.
% 8.15/8.50  (22366) {G0,W9,D4,L2,V1,M2}  { ! class_Rings_Olinordered__idom( X ), 
% 8.15/8.50    c_Groups_Oabs__class_Oabs( X, c_Groups_Oone__class_Oone( X ) ) = 
% 8.15/8.50    c_Groups_Oone__class_Oone( X ) }.
% 8.15/8.50  (22367) {G0,W10,D4,L1,V1,M1}  { c_Groups_Osgn__class_Osgn( tc_RealDef_Oreal
% 8.15/8.50    , X ) = c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X, 
% 8.15/8.50    c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) ) }.
% 8.15/8.50  (22368) {G0,W30,D5,L4,V5,M4}  { ! class_Rings_Olinordered__idom( X ), ! 
% 8.15/8.50    c_Orderings_Oord__class_Oless( X, c_Groups_Oabs__class_Oabs( X, Z ), Y )
% 8.15/8.50    , ! c_Orderings_Oord__class_Oless( X, c_Groups_Oabs__class_Oabs( X, U ), 
% 8.15/8.50    T ), c_Orderings_Oord__class_Oless( X, hAPP( 
% 8.15/8.50    c_Groups_Otimes__class_Otimes( X, c_Groups_Oabs__class_Oabs( X, Z ) ), 
% 8.15/8.50    c_Groups_Oabs__class_Oabs( X, U ) ), hAPP( c_Groups_Otimes__class_Otimes
% 8.15/8.50    ( X, Y ), T ) ) }.
% 8.15/8.50  (22369) {G0,W6,D3,L2,V2,M2}  { ! class_Lattices_Oboolean__algebra( X ), 
% 8.15/8.50    class_Lattices_Oboolean__algebra( tc_fun( Y, X ) ) }.
% 8.15/8.50  (22370) {G0,W6,D3,L2,V2,M2}  { ! class_Orderings_Opreorder( X ), 
% 8.15/8.50    class_Orderings_Opreorder( tc_fun( Y, X ) ) }.
% 8.15/8.50  (22371) {G0,W6,D3,L2,V2,M2}  { ! class_Orderings_Oorder( X ), 
% 8.15/8.50    class_Orderings_Oorder( tc_fun( Y, X ) ) }.
% 8.15/8.50  (22372) {G0,W6,D3,L2,V2,M2}  { ! class_Orderings_Oord( X ), 
% 8.15/8.50    class_Orderings_Oord( tc_fun( Y, X ) ) }.
% 8.15/8.50  (22373) {G0,W6,D3,L2,V2,M2}  { ! class_Groups_Ouminus( X ), 
% 8.15/8.50    class_Groups_Ouminus( tc_fun( Y, X ) ) }.
% 8.15/8.50  (22374) {G0,W2,D2,L1,V0,M1}  { 
% 8.15/8.50    class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct( 
% 8.15/8.50    tc_Int_Oint ) }.
% 8.15/8.50  (22375) {G0,W2,D2,L1,V0,M1}  { 
% 8.15/8.50    class_Groups_Oordered__cancel__ab__semigroup__add( tc_Int_Oint ) }.
% 8.15/8.50  (22376) {G0,W2,D2,L1,V0,M1}  { 
% 8.15/8.50    class_Groups_Oordered__ab__semigroup__add__imp__le( tc_Int_Oint ) }.
% 8.15/8.50  (22377) {G0,W2,D2,L1,V0,M1}  { 
% 8.15/8.50    class_Rings_Olinordered__comm__semiring__strict( tc_Int_Oint ) }.
% 8.15/8.50  (22378) {G0,W2,D2,L1,V0,M1}  { class_Rings_Olinordered__semiring__1__strict
% 8.15/8.50    ( tc_Int_Oint ) }.
% 8.15/8.50  (22379) {G0,W2,D2,L1,V0,M1}  { class_Rings_Olinordered__semiring__strict( 
% 8.15/8.50    tc_Int_Oint ) }.
% 8.15/8.50  (22380) {G0,W2,D2,L1,V0,M1}  { class_Groups_Oordered__ab__semigroup__add( 
% 8.15/8.50    tc_Int_Oint ) }.
% 8.15/8.50  (22381) {G0,W2,D2,L1,V0,M1}  { class_Groups_Oordered__ab__group__add__abs( 
% 8.15/8.50    tc_Int_Oint ) }.
% 8.15/8.50  (22382) {G0,W2,D2,L1,V0,M1}  { class_Groups_Oordered__comm__monoid__add( 
% 8.15/8.50    tc_Int_Oint ) }.
% 8.15/8.50  (22383) {G0,W2,D2,L1,V0,M1}  { class_Groups_Olinordered__ab__group__add( 
% 8.15/8.50    tc_Int_Oint ) }.
% 8.15/8.50  (22384) {G0,W2,D2,L1,V0,M1}  { class_Groups_Ocancel__ab__semigroup__add( 
% 8.15/8.50    tc_Int_Oint ) }.
% 8.15/8.50  (22385) {G0,W2,D2,L1,V0,M1}  { class_Rings_Oring__1__no__zero__divisors( 
% 8.15/8.50    tc_Int_Oint ) }.
% 8.15/8.50  (22386) {G0,W2,D2,L1,V0,M1}  { class_Rings_Oordered__cancel__semiring( 
% 8.15/8.50    tc_Int_Oint ) }.
% 8.15/8.50  (22387) {G0,W2,D2,L1,V0,M1}  { class_Rings_Olinordered__ring__strict( 
% 8.15/8.50    tc_Int_Oint ) }.
% 8.15/8.50  (22388) {G0,W2,D2,L1,V0,M1}  { class_Rings_Oring__no__zero__divisors( 
% 8.15/8.50    tc_Int_Oint ) }.
% 8.15/8.50  (22389) {G0,W2,D2,L1,V0,M1}  { class_Rings_Oordered__comm__semiring( 
% 8.15/8.50    tc_Int_Oint ) }.
% 8.15/8.50  (22390) {G0,W2,D2,L1,V0,M1}  { class_Rings_Olinordered__semiring__1( 
% 8.15/8.50    tc_Int_Oint ) }.
% 8.15/8.50  (22391) {G0,W2,D2,L1,V0,M1}  { class_Groups_Oordered__ab__group__add( 
% 8.15/8.50    tc_Int_Oint ) }.
% 8.15/8.50  (22392) {G0,W2,D2,L1,V0,M1}  { class_Groups_Ocancel__semigroup__add( 
% 8.15/8.50    tc_Int_Oint ) }.
% 8.15/8.50  (22393) {G0,W2,D2,L1,V0,M1}  { class_Rings_Olinordered__semiring( 
% 8.15/8.50    tc_Int_Oint ) }.
% 8.15/8.50  (22394) {G0,W2,D2,L1,V0,M1}  { class_Rings_Olinordered__semidom( 
% 8.15/8.50    tc_Int_Oint ) }.
% 8.15/8.50  (22395) {G0,W2,D2,L1,V0,M1}  { class_Groups_Oab__semigroup__mult( 
% 8.15/8.50    tc_Int_Oint ) }.
% 8.15/8.50  (22396) {G0,W2,D2,L1,V0,M1}  { class_Groups_Ocomm__monoid__mult( 
% 8.15/8.50    tc_Int_Oint ) }.
% 8.15/8.50  (22397) {G0,W2,D2,L1,V0,M1}  { class_Groups_Oab__semigroup__add( 
% 8.15/8.50    tc_Int_Oint ) }.
% 8.15/8.50  (22398) {G0,W2,D2,L1,V0,M1}  { class_Rings_Oordered__semiring( tc_Int_Oint
% 8.15/8.50     ) }.
% 8.15/8.50  (22399) {G0,W2,D2,L1,V0,M1}  { class_Rings_Oordered__ring__abs( tc_Int_Oint
% 8.15/8.50     ) }.
% 8.15/8.50  (22400) {G0,W2,D2,L1,V0,M1}  { class_Rings_Ono__zero__divisors( tc_Int_Oint
% 8.15/8.50     ) }.
% 8.15/8.50  (22401) {G0,W2,D2,L1,V0,M1}  { class_Groups_Ocomm__monoid__add( tc_Int_Oint
% 8.15/8.50     ) }.
% 8.15/8.50  (22402) {G0,W2,D2,L1,V0,M1}  { class_Rings_Olinordered__ring( tc_Int_Oint )
% 8.15/8.50     }.
% 8.15/8.50  (22403) {G0,W2,D2,L1,V0,M1}  { class_Rings_Olinordered__idom( tc_Int_Oint )
% 8.15/8.50     }.
% 8.15/8.50  (22404) {G0,W2,D2,L1,V0,M1}  { class_Rings_Ocomm__semiring__1( tc_Int_Oint
% 8.15/8.50     ) }.
% 8.15/8.50  (22405) {G0,W2,D2,L1,V0,M1}  { class_Rings_Ocomm__semiring( tc_Int_Oint )
% 8.15/8.50     }.
% 8.15/8.50  (22406) {G0,W2,D2,L1,V0,M1}  { class_Groups_Oab__group__add( tc_Int_Oint )
% 8.15/8.50     }.
% 8.15/8.50  (22407) {G0,W2,D2,L1,V0,M1}  { class_Rings_Ozero__neq__one( tc_Int_Oint )
% 8.15/8.50     }.
% 8.15/8.50  (22408) {G0,W2,D2,L1,V0,M1}  { class_Rings_Oordered__ring( tc_Int_Oint )
% 8.15/8.50     }.
% 8.15/8.50  (22409) {G0,W2,D2,L1,V0,M1}  { class_Orderings_Opreorder( tc_Int_Oint ) }.
% 8.15/8.50  (22410) {G0,W2,D2,L1,V0,M1}  { class_Orderings_Olinorder( tc_Int_Oint ) }.
% 8.15/8.50  (22411) {G0,W2,D2,L1,V0,M1}  { class_Groups_Omonoid__mult( tc_Int_Oint )
% 8.15/8.50     }.
% 8.15/8.50  (22412) {G0,W2,D2,L1,V0,M1}  { class_Rings_Ocomm__ring__1( tc_Int_Oint )
% 8.15/8.50     }.
% 8.15/8.50  (22413) {G0,W2,D2,L1,V0,M1}  { class_Groups_Omonoid__add( tc_Int_Oint ) }.
% 8.15/8.50  (22414) {G0,W2,D2,L1,V0,M1}  { class_Rings_Osemiring__1( tc_Int_Oint ) }.
% 8.15/8.50  (22415) {G0,W2,D2,L1,V0,M1}  { class_Rings_Osemiring__0( tc_Int_Oint ) }.
% 8.15/8.50  (22416) {G0,W2,D2,L1,V0,M1}  { class_Groups_Ogroup__add( tc_Int_Oint ) }.
% 8.15/8.50  (22417) {G0,W2,D2,L1,V0,M1}  { class_Rings_Omult__zero( tc_Int_Oint ) }.
% 8.15/8.50  (22418) {G0,W2,D2,L1,V0,M1}  { class_Orderings_Oorder( tc_Int_Oint ) }.
% 8.15/8.50  (22419) {G0,W2,D2,L1,V0,M1}  { class_Int_Oring__char__0( tc_Int_Oint ) }.
% 8.15/8.50  (22420) {G0,W2,D2,L1,V0,M1}  { class_Int_Onumber__ring( tc_Int_Oint ) }.
% 8.15/8.50  (22421) {G0,W2,D2,L1,V0,M1}  { class_Rings_Osemiring( tc_Int_Oint ) }.
% 8.15/8.50  (22422) {G0,W2,D2,L1,V0,M1}  { class_Orderings_Oord( tc_Int_Oint ) }.
% 8.15/8.50  (22423) {G0,W2,D2,L1,V0,M1}  { class_Groups_Ouminus( tc_Int_Oint ) }.
% 8.15/8.50  (22424) {G0,W2,D2,L1,V0,M1}  { class_Groups_Osgn__if( tc_Int_Oint ) }.
% 8.15/8.50  (22425) {G0,W2,D2,L1,V0,M1}  { class_Groups_Oabs__if( tc_Int_Oint ) }.
% 8.15/8.50  (22426) {G0,W2,D2,L1,V0,M1}  { class_Rings_Oring__1( tc_Int_Oint ) }.
% 8.15/8.50  (22427) {G0,W2,D2,L1,V0,M1}  { class_Power_Opower( tc_Int_Oint ) }.
% 8.15/8.50  (22428) {G0,W2,D2,L1,V0,M1}  { class_Groups_Ozero( tc_Int_Oint ) }.
% 8.15/8.50  (22429) {G0,W2,D2,L1,V0,M1}  { class_Rings_Oring( tc_Int_Oint ) }.
% 8.15/8.50  (22430) {G0,W2,D2,L1,V0,M1}  { class_Rings_Oidom( tc_Int_Oint ) }.
% 8.15/8.50  (22431) {G0,W2,D2,L1,V0,M1}  { class_Int_Onumber( tc_Int_Oint ) }.
% 8.15/8.50  (22432) {G0,W2,D2,L1,V0,M1}  { class_Groups_Oone( tc_Int_Oint ) }.
% 8.15/8.50  (22433) {G0,W2,D2,L1,V0,M1}  { 
% 8.15/8.50    class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct( 
% 8.15/8.50    tc_Nat_Onat ) }.
% 8.15/8.50  (22434) {G0,W2,D2,L1,V0,M1}  { 
% 8.15/8.50    class_Groups_Oordered__cancel__ab__semigroup__add( tc_Nat_Onat ) }.
% 8.15/8.50  (22435) {G0,W2,D2,L1,V0,M1}  { 
% 8.15/8.50    class_Groups_Oordered__ab__semigroup__add__imp__le( tc_Nat_Onat ) }.
% 8.15/8.50  (22436) {G0,W2,D2,L1,V0,M1}  { 
% 8.15/8.50    class_Rings_Olinordered__comm__semiring__strict( tc_Nat_Onat ) }.
% 8.15/8.50  (22437) {G0,W2,D2,L1,V0,M1}  { class_Rings_Olinordered__semiring__strict( 
% 8.15/8.50    tc_Nat_Onat ) }.
% 8.15/8.50  (22438) {G0,W2,D2,L1,V0,M1}  { class_Groups_Oordered__ab__semigroup__add( 
% 8.15/8.50    tc_Nat_Onat ) }.
% 8.15/8.50  (22439) {G0,W2,D2,L1,V0,M1}  { class_Groups_Oordered__comm__monoid__add( 
% 8.15/8.50    tc_Nat_Onat ) }.
% 8.15/8.50  (22440) {G0,W2,D2,L1,V0,M1}  { class_Groups_Ocancel__ab__semigroup__add( 
% 8.15/8.50    tc_Nat_Onat ) }.
% 8.15/8.50  (22441) {G0,W2,D2,L1,V0,M1}  { class_Rings_Oordered__cancel__semiring( 
% 8.15/8.50    tc_Nat_Onat ) }.
% 8.15/8.50  (22442) {G0,W2,D2,L1,V0,M1}  { class_Rings_Oordered__comm__semiring( 
% 8.15/8.50    tc_Nat_Onat ) }.
% 8.15/8.50  (22443) {G0,W2,D2,L1,V0,M1}  { class_Groups_Ocancel__semigroup__add( 
% 8.15/8.50    tc_Nat_Onat ) }.
% 8.15/8.50  (22444) {G0,W2,D2,L1,V0,M1}  { class_Rings_Olinordered__semiring( 
% 8.15/8.50    tc_Nat_Onat ) }.
% 8.15/8.50  (22445) {G0,W2,D2,L1,V0,M1}  { class_Rings_Olinordered__semidom( 
% 8.15/8.50    tc_Nat_Onat ) }.
% 8.15/8.50  (22446) {G0,W2,D2,L1,V0,M1}  { class_Groups_Oab__semigroup__mult( 
% 8.15/8.50    tc_Nat_Onat ) }.
% 8.15/8.50  (22447) {G0,W2,D2,L1,V0,M1}  { class_Groups_Ocomm__monoid__mult( 
% 8.15/8.50    tc_Nat_Onat ) }.
% 8.15/8.50  (22448) {G0,W2,D2,L1,V0,M1}  { class_Groups_Oab__semigroup__add( 
% 8.15/8.50    tc_Nat_Onat ) }.
% 8.15/8.50  (22449) {G0,W2,D2,L1,V0,M1}  { class_Rings_Oordered__semiring( tc_Nat_Onat
% 8.15/8.50     ) }.
% 8.15/8.50  (22450) {G0,W2,D2,L1,V0,M1}  { class_Rings_Ono__zero__divisors( tc_Nat_Onat
% 8.15/8.50     ) }.
% 8.15/8.50  (22451) {G0,W2,D2,L1,V0,M1}  { class_Groups_Ocomm__monoid__add( tc_Nat_Onat
% 8.15/8.50     ) }.
% 8.15/8.50  (22452) {G0,W2,D2,L1,V0,M1}  { class_Rings_Ocomm__semiring__1( tc_Nat_Onat
% 8.15/8.50     ) }.
% 8.15/8.50  (22453) {G0,W2,D2,L1,V0,M1}  { class_Rings_Ocomm__semiring( tc_Nat_Onat )
% 8.15/8.50     }.
% 8.15/8.50  (22454) {G0,W2,D2,L1,V0,M1}  { class_Rings_Ozero__neq__one( tc_Nat_Onat )
% 8.15/8.50     }.
% 8.15/8.50  (22455) {G0,W2,D2,L1,V0,M1}  { class_Orderings_Opreorder( tc_Nat_Onat ) }.
% 8.15/8.50  (22456) {G0,W2,D2,L1,V0,M1}  { class_Orderings_Olinorder( tc_Nat_Onat ) }.
% 8.15/8.50  (22457) {G0,W2,D2,L1,V0,M1}  { class_Groups_Omonoid__mult( tc_Nat_Onat )
% 8.15/8.50     }.
% 8.15/8.50  (22458) {G0,W2,D2,L1,V0,M1}  { class_Groups_Omonoid__add( tc_Nat_Onat ) }.
% 8.15/8.50  (22459) {G0,W2,D2,L1,V0,M1}  { class_Rings_Osemiring__1( tc_Nat_Onat ) }.
% 8.15/8.50  (22460) {G0,W2,D2,L1,V0,M1}  { class_Rings_Osemiring__0( tc_Nat_Onat ) }.
% 8.15/8.50  (22461) {G0,W2,D2,L1,V0,M1}  { class_Rings_Omult__zero( tc_Nat_Onat ) }.
% 8.15/8.50  (22462) {G0,W2,D2,L1,V0,M1}  { class_Orderings_Oorder( tc_Nat_Onat ) }.
% 8.15/8.50  (22463) {G0,W2,D2,L1,V0,M1}  { class_Rings_Osemiring( tc_Nat_Onat ) }.
% 8.15/8.50  (22464) {G0,W2,D2,L1,V0,M1}  { class_Orderings_Oord( tc_Nat_Onat ) }.
% 8.15/8.50  (22465) {G0,W2,D2,L1,V0,M1}  { class_Power_Opower( tc_Nat_Onat ) }.
% 8.15/8.50  (22466) {G0,W2,D2,L1,V0,M1}  { class_Groups_Ozero( tc_Nat_Onat ) }.
% 8.15/8.50  (22467) {G0,W2,D2,L1,V0,M1}  { class_Int_Onumber( tc_Nat_Onat ) }.
% 8.15/8.50  (22468) {G0,W2,D2,L1,V0,M1}  { class_Groups_Oone( tc_Nat_Onat ) }.
% 8.15/8.50  (22469) {G0,W2,D2,L1,V0,M1}  { class_Lattices_Oboolean__algebra( 
% 8.15/8.50    tc_HOL_Obool ) }.
% 8.15/8.50  (22470) {G0,W2,D2,L1,V0,M1}  { class_Orderings_Opreorder( tc_HOL_Obool )
% 8.15/8.50     }.
% 8.15/8.50  (22471) {G0,W2,D2,L1,V0,M1}  { class_Orderings_Oorder( tc_HOL_Obool ) }.
% 8.15/8.50  (22472) {G0,W2,D2,L1,V0,M1}  { class_Orderings_Oord( tc_HOL_Obool ) }.
% 8.15/8.50  (22473) {G0,W2,D2,L1,V0,M1}  { class_Groups_Ouminus( tc_HOL_Obool ) }.
% 8.15/8.50  (22474) {G0,W2,D2,L1,V0,M1}  { 
% 8.15/8.50    class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct( 
% 8.15/8.50    tc_RealDef_Oreal ) }.
% 8.15/8.50  (22475) {G0,W2,D2,L1,V0,M1}  { 
% 8.15/8.50    class_Groups_Oordered__cancel__ab__semigroup__add( tc_RealDef_Oreal ) }.
% 8.15/8.50  (22476) {G0,W2,D2,L1,V0,M1}  { 
% 8.15/8.50    class_Groups_Oordered__ab__semigroup__add__imp__le( tc_RealDef_Oreal )
% 8.15/8.50     }.
% 8.15/8.50  (22477) {G0,W2,D2,L1,V0,M1}  { 
% 8.15/8.50    class_Rings_Olinordered__comm__semiring__strict( tc_RealDef_Oreal ) }.
% 8.15/8.50  (22478) {G0,W2,D2,L1,V0,M1}  { 
% 8.15/8.50    class_Fields_Olinordered__field__inverse__zero( tc_RealDef_Oreal ) }.
% 8.15/8.50  (22479) {G0,W2,D2,L1,V0,M1}  { class_Rings_Olinordered__semiring__1__strict
% 8.15/8.50    ( tc_RealDef_Oreal ) }.
% 8.15/8.50  (22480) {G0,W2,D2,L1,V0,M1}  { class_RealVector_Oreal__normed__div__algebra
% 8.15/8.50    ( tc_RealDef_Oreal ) }.
% 8.15/8.50  (22481) {G0,W2,D2,L1,V0,M1}  { class_Rings_Olinordered__semiring__strict( 
% 8.15/8.50    tc_RealDef_Oreal ) }.
% 8.15/8.50  (22482) {G0,W2,D2,L1,V0,M1}  { class_Rings_Odivision__ring__inverse__zero( 
% 8.15/8.50    tc_RealDef_Oreal ) }.
% 8.15/8.50  (22483) {G0,W2,D2,L1,V0,M1}  { class_RealVector_Oreal__normed__algebra__1( 
% 8.15/8.50    tc_RealDef_Oreal ) }.
% 8.15/8.50  (22484) {G0,W2,D2,L1,V0,M1}  { class_Groups_Oordered__ab__semigroup__add( 
% 8.15/8.50    tc_RealDef_Oreal ) }.
% 8.15/8.50  (22485) {G0,W2,D2,L1,V0,M1}  { class_Groups_Oordered__ab__group__add__abs( 
% 8.15/8.50    tc_RealDef_Oreal ) }.
% 8.15/8.50  (22486) {G0,W2,D2,L1,V0,M1}  { class_RealVector_Oreal__normed__algebra( 
% 8.15/8.50    tc_RealDef_Oreal ) }.
% 8.15/8.50  (22487) {G0,W2,D2,L1,V0,M1}  { class_Groups_Oordered__comm__monoid__add( 
% 8.15/8.50    tc_RealDef_Oreal ) }.
% 8.15/8.50  (22488) {G0,W2,D2,L1,V0,M1}  { class_Groups_Olinordered__ab__group__add( 
% 8.15/8.50    tc_RealDef_Oreal ) }.
% 8.15/8.50  (22489) {G0,W2,D2,L1,V0,M1}  { class_Groups_Ocancel__ab__semigroup__add( 
% 8.15/8.50    tc_RealDef_Oreal ) }.
% 8.15/8.50  (22490) {G0,W2,D2,L1,V0,M1}  { class_Rings_Oring__1__no__zero__divisors( 
% 8.15/8.50    tc_RealDef_Oreal ) }.
% 8.15/8.50  (22491) {G0,W2,D2,L1,V0,M1}  { class_Rings_Oordered__cancel__semiring( 
% 8.15/8.50    tc_RealDef_Oreal ) }.
% 8.15/8.50  (22492) {G0,W2,D2,L1,V0,M1}  { class_RealVector_Oreal__normed__vector( 
% 8.15/8.50    tc_RealDef_Oreal ) }.
% 8.15/8.50  (22493) {G0,W2,D2,L1,V0,M1}  { class_Rings_Olinordered__ring__strict( 
% 8.15/8.50    tc_RealDef_Oreal ) }.
% 8.15/8.50  (22494) {G0,W2,D2,L1,V0,M1}  { class_RealVector_Oreal__normed__field( 
% 8.15/8.50    tc_RealDef_Oreal ) }.
% 8.15/8.50  (22495) {G0,W2,D2,L1,V0,M1}  { class_Rings_Oring__no__zero__divisors( 
% 8.15/8.50    tc_RealDef_Oreal ) }.
% 8.15/8.50  (22496) {G0,W2,D2,L1,V0,M1}  { class_Rings_Oordered__comm__semiring( 
% 8.15/8.50    tc_RealDef_Oreal ) }.
% 8.15/8.50  (22497) {G0,W2,D2,L1,V0,M1}  { class_Rings_Olinordered__semiring__1( 
% 8.15/8.50    tc_RealDef_Oreal ) }.
% 8.15/8.50  (22498) {G0,W2,D2,L1,V0,M1}  { class_Groups_Oordered__ab__group__add( 
% 8.15/8.50    tc_RealDef_Oreal ) }.
% 8.15/8.50  (22499) {G0,W2,D2,L1,V0,M1}  { class_Groups_Ocancel__semigroup__add( 
% 8.15/8.50    tc_RealDef_Oreal ) }.
% 8.15/8.50  (22500) {G0,W2,D2,L1,V0,M1}  { class_Rings_Olinordered__semiring( 
% 8.15/8.50    tc_RealDef_Oreal ) }.
% 8.15/8.50  (22501) {G0,W2,D2,L1,V0,M1}  { class_Fields_Ofield__inverse__zero( 
% 8.15/8.50    tc_RealDef_Oreal ) }.
% 8.15/8.50  (22502) {G0,W2,D2,L1,V0,M1}  { class_Rings_Olinordered__semidom( 
% 8.15/8.50    tc_RealDef_Oreal ) }.
% 8.15/8.50  (22503) {G0,W2,D2,L1,V0,M1}  { class_Groups_Oab__semigroup__mult( 
% 8.15/8.50    tc_RealDef_Oreal ) }.
% 8.15/8.50  (22504) {G0,W2,D2,L1,V0,M1}  { class_Groups_Ocomm__monoid__mult( 
% 8.15/8.50    tc_RealDef_Oreal ) }.
% 8.15/8.50  (22505) {G0,W2,D2,L1,V0,M1}  { class_Groups_Oab__semigroup__add( 
% 8.15/8.50    tc_RealDef_Oreal ) }.
% 8.15/8.50  (22506) {G0,W2,D2,L1,V0,M1}  { class_Fields_Olinordered__field( 
% 8.15/8.50    tc_RealDef_Oreal ) }.
% 8.15/8.50  (22507) {G0,W2,D2,L1,V0,M1}  { class_Rings_Oordered__semiring( 
% 8.15/8.50    tc_RealDef_Oreal ) }.
% 8.15/8.50  (22508) {G0,W2,D2,L1,V0,M1}  { class_Rings_Oordered__ring__abs( 
% 8.15/8.50    tc_RealDef_Oreal ) }.
% 8.15/8.50  (22509) {G0,W2,D2,L1,V0,M1}  { class_Rings_Ono__zero__divisors( 
% 8.15/8.50    tc_RealDef_Oreal ) }.
% 8.15/8.50  (22510) {G0,W2,D2,L1,V0,M1}  { class_Groups_Ocomm__monoid__add( 
% 8.15/8.50    tc_RealDef_Oreal ) }.
% 8.15/8.50  (22511) {G0,W2,D2,L1,V0,M1}  { class_Rings_Olinordered__ring( 
% 8.15/8.50    tc_RealDef_Oreal ) }.
% 8.15/8.50  (22512) {G0,W2,D2,L1,V0,M1}  { class_Rings_Olinordered__idom( 
% 8.15/8.50    tc_RealDef_Oreal ) }.
% 8.15/8.50  (22513) {G0,W2,D2,L1,V0,M1}  { class_Rings_Ocomm__semiring__1( 
% 8.15/8.50    tc_RealDef_Oreal ) }.
% 8.15/8.50  (22514) {G0,W2,D2,L1,V0,M1}  { class_Rings_Odivision__ring( 
% 8.15/8.50    tc_RealDef_Oreal ) }.
% 8.15/8.50  (22515) {G0,W2,D2,L1,V0,M1}  { class_Rings_Ocomm__semiring( 
% 8.15/8.50    tc_RealDef_Oreal ) }.
% 8.15/8.50  (22516) {G0,W2,D2,L1,V0,M1}  { class_Groups_Oab__group__add( 
% 8.15/8.50    tc_RealDef_Oreal ) }.
% 8.15/8.50  (22517) {G0,W2,D2,L1,V0,M1}  { class_Rings_Ozero__neq__one( 
% 8.15/8.50    tc_RealDef_Oreal ) }.
% 8.15/8.50  (22518) {G0,W2,D2,L1,V0,M1}  { class_Rings_Oordered__ring( tc_RealDef_Oreal
% 8.15/8.50     ) }.
% 8.15/8.50  (22519) {G0,W2,D2,L1,V0,M1}  { class_Orderings_Opreorder( tc_RealDef_Oreal
% 8.15/8.50     ) }.
% 8.15/8.50  (22520) {G0,W2,D2,L1,V0,M1}  { class_Orderings_Olinorder( tc_RealDef_Oreal
% 8.15/8.50     ) }.
% 8.15/8.50  (22521) {G0,W2,D2,L1,V0,M1}  { class_Groups_Omonoid__mult( tc_RealDef_Oreal
% 8.15/8.50     ) }.
% 8.15/8.50  (22522) {G0,W2,D2,L1,V0,M1}  { class_Rings_Ocomm__ring__1( tc_RealDef_Oreal
% 8.15/8.50     ) }.
% 8.15/8.50  (22523) {G0,W2,D2,L1,V0,M1}  { class_Groups_Omonoid__add( tc_RealDef_Oreal
% 8.15/8.50     ) }.
% 8.15/8.50  (22524) {G0,W2,D2,L1,V0,M1}  { class_Rings_Osemiring__1( tc_RealDef_Oreal )
% 8.15/8.50     }.
% 8.15/8.50  (22525) {G0,W2,D2,L1,V0,M1}  { class_Rings_Osemiring__0( tc_RealDef_Oreal )
% 8.15/8.50     }.
% 8.15/8.50  (22526) {G0,W2,D2,L1,V0,M1}  { class_Groups_Ogroup__add( tc_RealDef_Oreal )
% 8.15/8.50     }.
% 8.15/8.50  (22527) {G0,W2,D2,L1,V0,M1}  { class_Rings_Omult__zero( tc_RealDef_Oreal )
% 8.15/8.50     }.
% 8.15/8.50  (22528) {G0,W2,D2,L1,V0,M1}  { class_Orderings_Oorder( tc_RealDef_Oreal )
% 8.15/8.50     }.
% 8.15/8.50  (22529) {G0,W2,D2,L1,V0,M1}  { class_Int_Oring__char__0( tc_RealDef_Oreal )
% 8.15/8.50     }.
% 8.15/8.50  (22530) {G0,W2,D2,L1,V0,M1}  { class_Int_Onumber__ring( tc_RealDef_Oreal )
% 8.15/8.50     }.
% 8.15/8.50  (22531) {G0,W2,D2,L1,V0,M1}  { class_Rings_Osemiring( tc_RealDef_Oreal )
% 8.15/8.50     }.
% 8.15/8.50  (22532) {G0,W2,D2,L1,V0,M1}  { class_Orderings_Oord( tc_RealDef_Oreal ) }.
% 8.15/8.50  (22533) {G0,W2,D2,L1,V0,M1}  { class_Groups_Ouminus( tc_RealDef_Oreal ) }.
% 8.15/8.50  (22534) {G0,W2,D2,L1,V0,M1}  { class_Groups_Osgn__if( tc_RealDef_Oreal )
% 8.15/8.50     }.
% 8.15/8.50  (22535) {G0,W2,D2,L1,V0,M1}  { class_Groups_Oabs__if( tc_RealDef_Oreal )
% 8.15/8.50     }.
% 8.15/8.50  (22536) {G0,W2,D2,L1,V0,M1}  { class_Rings_Oring__1( tc_RealDef_Oreal ) }.
% 8.15/8.50  (22537) {G0,W2,D2,L1,V0,M1}  { class_Fields_Ofield( tc_RealDef_Oreal ) }.
% 8.15/8.50  (22538) {G0,W2,D2,L1,V0,M1}  { class_Power_Opower( tc_RealDef_Oreal ) }.
% 8.15/8.50  (22539) {G0,W2,D2,L1,V0,M1}  { class_Groups_Ozero( tc_RealDef_Oreal ) }.
% 8.15/8.50  (22540) {G0,W2,D2,L1,V0,M1}  { class_SEQ_Obanach( tc_RealDef_Oreal ) }.
% 8.15/8.50  (22541) {G0,W2,D2,L1,V0,M1}  { class_Rings_Oring( tc_RealDef_Oreal ) }.
% 8.15/8.50  (22542) {G0,W2,D2,L1,V0,M1}  { class_Rings_Oidom( tc_RealDef_Oreal ) }.
% 8.15/8.50  (22543) {G0,W2,D2,L1,V0,M1}  { class_Int_Onumber( tc_RealDef_Oreal ) }.
% 8.15/8.50  (22544) {G0,W2,D2,L1,V0,M1}  { class_Groups_Oone( tc_RealDef_Oreal ) }.
% 8.15/8.50  (22545) {G0,W2,D2,L1,V0,M1}  { 
% 8.15/8.50    class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct( 
% 8.15/8.50    tc_Complex_Ocomplex ) }.
% 8.15/8.50  (22546) {G0,W2,D2,L1,V0,M1}  { class_RealVector_Oreal__normed__div__algebra
% 8.15/8.50    ( tc_Complex_Ocomplex ) }.
% 8.15/8.50  (22547) {G0,W2,D2,L1,V0,M1}  { class_Rings_Odivision__ring__inverse__zero( 
% 8.15/8.50    tc_Complex_Ocomplex ) }.
% 8.15/8.50  (22548) {G0,W2,D2,L1,V0,M1}  { class_RealVector_Oreal__normed__algebra__1( 
% 8.15/8.50    tc_Complex_Ocomplex ) }.
% 8.15/8.50  (22549) {G0,W2,D2,L1,V0,M1}  { class_RealVector_Oreal__normed__algebra( 
% 8.15/8.50    tc_Complex_Ocomplex ) }.
% 8.15/8.50  (22550) {G0,W2,D2,L1,V0,M1}  { class_Groups_Ocancel__ab__semigroup__add( 
% 8.15/8.50    tc_Complex_Ocomplex ) }.
% 8.15/8.50  (22551) {G0,W2,D2,L1,V0,M1}  { class_Rings_Oring__1__no__zero__divisors( 
% 8.15/8.50    tc_Complex_Ocomplex ) }.
% 8.15/8.50  (22552) {G0,W2,D2,L1,V0,M1}  { class_RealVector_Oreal__normed__vector( 
% 8.15/8.50    tc_Complex_Ocomplex ) }.
% 8.15/8.50  (22553) {G0,W2,D2,L1,V0,M1}  { class_RealVector_Oreal__normed__field( 
% 8.15/8.50    tc_Complex_Ocomplex ) }.
% 8.15/8.50  (22554) {G0,W2,D2,L1,V0,M1}  { class_Rings_Oring__no__zero__divisors( 
% 8.15/8.50    tc_Complex_Ocomplex ) }.
% 8.15/8.50  (22555) {G0,W2,D2,L1,V0,M1}  { class_Groups_Ocancel__semigroup__add( 
% 8.15/8.50    tc_Complex_Ocomplex ) }.
% 8.15/8.50  (22556) {G0,W2,D2,L1,V0,M1}  { class_Fields_Ofield__inverse__zero( 
% 8.15/8.50    tc_Complex_Ocomplex ) }.
% 8.15/8.50  (22557) {G0,W2,D2,L1,V0,M1}  { class_Groups_Oab__semigroup__mult( 
% 8.15/8.50    tc_Complex_Ocomplex ) }.
% 8.15/8.50  (22558) {G0,W2,D2,L1,V0,M1}  { class_Groups_Ocomm__monoid__mult( 
% 8.15/8.50    tc_Complex_Ocomplex ) }.
% 8.15/8.50  (22559) {G0,W2,D2,L1,V0,M1}  { class_Groups_Oab__semigroup__add( 
% 8.15/8.50    tc_Complex_Ocomplex ) }.
% 8.15/8.50  (22560) {G0,W2,D2,L1,V0,M1}  { class_Rings_Ono__zero__divisors( 
% 8.15/8.50    tc_Complex_Ocomplex ) }.
% 8.15/8.50  (22561) {G0,W2,D2,L1,V0,M1}  { class_Groups_Ocomm__monoid__add( 
% 8.15/8.50    tc_Complex_Ocomplex ) }.
% 8.15/8.50  (22562) {G0,W2,D2,L1,V0,M1}  { class_Rings_Ocomm__semiring__1( 
% 8.15/8.50    tc_Complex_Ocomplex ) }.
% 8.15/8.50  (22563) {G0,W2,D2,L1,V0,M1}  { class_Rings_Odivision__ring( 
% 8.15/8.50    tc_Complex_Ocomplex ) }.
% 8.15/8.50  (22564) {G0,W2,D2,L1,V0,M1}  { class_Rings_Ocomm__semiring( 
% 8.15/8.50    tc_Complex_Ocomplex ) }.
% 8.15/8.50  (22565) {G0,W2,D2,L1,V0,M1}  { class_Groups_Oab__group__add( 
% 8.15/8.50    tc_Complex_Ocomplex ) }.
% 8.15/8.50  (22566) {G0,W2,D2,L1,V0,M1}  { class_Rings_Ozero__neq__one( 
% 8.15/8.50    tc_Complex_Ocomplex ) }.
% 8.15/8.50  (22567) {G0,W2,D2,L1,V0,M1}  { class_Groups_Omonoid__mult( 
% 8.15/8.50    tc_Complex_Ocomplex ) }.
% 8.15/8.50  (22568) {G0,W2,D2,L1,V0,M1}  { class_Rings_Ocomm__ring__1( 
% 8.15/8.50    tc_Complex_Ocomplex ) }.
% 8.15/8.50  (22569) {G0,W2,D2,L1,V0,M1}  { class_Groups_Omonoid__add( 
% 8.15/8.50    tc_Complex_Ocomplex ) }.
% 8.15/8.50  (22570) {G0,W2,D2,L1,V0,M1}  { class_Rings_Osemiring__1( 
% 8.15/8.50    tc_Complex_Ocomplex ) }.
% 8.15/8.50  (22571) {G0,W2,D2,L1,V0,M1}  { class_Rings_Osemiring__0( 
% 8.15/8.50    tc_Complex_Ocomplex ) }.
% 8.15/8.50  (22572) {G0,W2,D2,L1,V0,M1}  { class_Groups_Ogroup__add( 
% 8.15/8.50    tc_Complex_Ocomplex ) }.
% 8.15/8.50  (22573) {G0,W2,D2,L1,V0,M1}  { class_Rings_Omult__zero( tc_Complex_Ocomplex
% 8.15/8.50     ) }.
% 8.15/8.50  (22574) {G0,W2,D2,L1,V0,M1}  { class_Int_Oring__char__0( 
% 8.15/8.50    tc_Complex_Ocomplex ) }.
% 8.15/8.50  (22575) {G0,W2,D2,L1,V0,M1}  { class_Int_Onumber__ring( tc_Complex_Ocomplex
% 8.15/8.50     ) }.
% 8.15/8.50  (22576) {G0,W2,D2,L1,V0,M1}  { class_Rings_Osemiring( tc_Complex_Ocomplex )
% 8.15/8.50     }.
% 8.15/8.50  (22577) {G0,W2,D2,L1,V0,M1}  { class_Groups_Ouminus( tc_Complex_Ocomplex )
% 8.15/8.50     }.
% 8.15/8.50  (22578) {G0,W2,D2,L1,V0,M1}  { class_Rings_Oring__1( tc_Complex_Ocomplex )
% 8.15/8.50     }.
% 8.15/8.50  (22579) {G0,W2,D2,L1,V0,M1}  { class_Fields_Ofield( tc_Complex_Ocomplex )
% 8.15/8.50     }.
% 8.15/8.50  (22580) {G0,W2,D2,L1,V0,M1}  { class_Power_Opower( tc_Complex_Ocomplex )
% 8.15/8.50     }.
% 8.15/8.50  (22581) {G0,W2,D2,L1,V0,M1}  { class_Groups_Ozero( tc_Complex_Ocomplex )
% 8.15/8.50     }.
% 8.15/8.50  (22582) {G0,W2,D2,L1,V0,M1}  { class_SEQ_Obanach( tc_Complex_Ocomplex ) }.
% 8.15/8.50  (22583) {G0,W2,D2,L1,V0,M1}  { class_Rings_Oring( tc_Complex_Ocomplex ) }.
% 8.15/8.50  (22584) {G0,W2,D2,L1,V0,M1}  { class_Rings_Oidom( tc_Complex_Ocomplex ) }.
% 8.15/8.50  (22585) {G0,W2,D2,L1,V0,M1}  { class_Int_Onumber( tc_Complex_Ocomplex ) }.
% 8.15/8.50  (22586) {G0,W2,D2,L1,V0,M1}  { class_Groups_Oone( tc_Complex_Ocomplex ) }.
% 8.15/8.50  (22587) {G0,W2,D2,L1,V0,M1}  { 
% 8.15/8.50    class_Groups_Oordered__cancel__ab__semigroup__add( 
% 8.15/8.50    tc_Code__Numeral_Ocode__numeral ) }.
% 8.15/8.50  (22588) {G0,W2,D2,L1,V0,M1}  { 
% 8.15/8.50    class_Groups_Oordered__ab__semigroup__add__imp__le( 
% 8.15/8.50    tc_Code__Numeral_Ocode__numeral ) }.
% 8.15/8.50  (22589) {G0,W2,D2,L1,V0,M1}  { 
% 8.15/8.50    class_Rings_Olinordered__comm__semiring__strict( 
% 8.15/8.50    tc_Code__Numeral_Ocode__numeral ) }.
% 8.15/8.50  (22590) {G0,W2,D2,L1,V0,M1}  { class_Rings_Olinordered__semiring__strict( 
% 8.15/8.50    tc_Code__Numeral_Ocode__numeral ) }.
% 8.15/8.50  (22591) {G0,W2,D2,L1,V0,M1}  { class_Groups_Oordered__ab__semigroup__add( 
% 8.15/8.50    tc_Code__Numeral_Ocode__numeral ) }.
% 8.15/8.50  (22592) {G0,W2,D2,L1,V0,M1}  { class_Groups_Oordered__comm__monoid__add( 
% 8.15/8.50    tc_Code__Numeral_Ocode__numeral ) }.
% 8.15/8.50  (22593) {G0,W2,D2,L1,V0,M1}  { class_Groups_Ocancel__ab__semigroup__add( 
% 8.15/8.50    tc_Code__Numeral_Ocode__numeral ) }.
% 8.15/8.50  (22594) {G0,W2,D2,L1,V0,M1}  { class_Rings_Oordered__cancel__semiring( 
% 8.15/8.50    tc_Code__Numeral_Ocode__numeral ) }.
% 8.15/8.50  (22595) {G0,W2,D2,L1,V0,M1}  { class_Rings_Oordered__comm__semiring( 
% 8.15/8.50    tc_Code__Numeral_Ocode__numeral ) }.
% 8.15/8.50  (22596) {G0,W2,D2,L1,V0,M1}  { class_Groups_Ocancel__semigroup__add( 
% 8.15/8.50    tc_Code__Numeral_Ocode__numeral ) }.
% 8.15/8.50  (22597) {G0,W2,D2,L1,V0,M1}  { class_Rings_Olinordered__semiring( 
% 8.15/8.50    tc_Code__Numeral_Ocode__numeral ) }.
% 8.15/8.50  (22598) {G0,W2,D2,L1,V0,M1}  { class_Rings_Olinordered__semidom( 
% 8.15/8.50    tc_Code__Numeral_Ocode__numeral ) }.
% 8.15/8.50  (22599) {G0,W2,D2,L1,V0,M1}  { class_Groups_Oab__semigroup__mult( 
% 8.15/8.50    tc_Code__Numeral_Ocode__numeral ) }.
% 8.15/8.50  (22600) {G0,W2,D2,L1,V0,M1}  { class_Groups_Ocomm__monoid__mult( 
% 8.15/8.50    tc_Code__Numeral_Ocode__numeral ) }.
% 8.15/8.50  (22601) {G0,W2,D2,L1,V0,M1}  { class_Groups_Oab__semigroup__add( 
% 8.15/8.50    tc_Code__Numeral_Ocode__numeral ) }.
% 8.15/8.50  (22602) {G0,W2,D2,L1,V0,M1}  { class_Rings_Oordered__semiring( 
% 8.15/8.50    tc_Code__Numeral_Ocode__numeral ) }.
% 8.15/8.50  (22603) {G0,W2,D2,L1,V0,M1}  { class_Rings_Ono__zero__divisors( 
% 8.15/8.50    tc_Code__Numeral_Ocode__numeral ) }.
% 8.15/8.50  (22604) {G0,W2,D2,L1,V0,M1}  { class_Groups_Ocomm__monoid__add( 
% 8.15/8.50    tc_Code__Numeral_Ocode__numeral ) }.
% 8.15/8.50  (22605) {G0,W2,D2,L1,V0,M1}  { class_Rings_Ocomm__semiring__1( 
% 8.15/8.50    tc_Code__Numeral_Ocode__numeral ) }.
% 8.15/8.50  (22606) {G0,W2,D2,L1,V0,M1}  { class_Rings_Ocomm__semiring( 
% 8.15/8.50    tc_Code__Numeral_Ocode__numeral ) }.
% 8.15/8.50  (22607) {G0,W2,D2,L1,V0,M1}  { class_Rings_Ozero__neq__one( 
% 8.15/8.50    tc_Code__Numeral_Ocode__numeral ) }.
% 8.15/8.50  (22608) {G0,W2,D2,L1,V0,M1}  { class_Orderings_Opreorder( 
% 8.15/8.50    tc_Code__Numeral_Ocode__numeral ) }.
% 8.15/8.50  (22609) {G0,W2,D2,L1,V0,M1}  { class_Orderings_Olinorder( 
% 8.15/8.50    tc_Code__Numeral_Ocode__numeral ) }.
% 8.15/8.50  (22610) {G0,W2,D2,L1,V0,M1}  { class_Groups_Omonoid__mult( 
% 8.15/8.50    tc_Code__Numeral_Ocode__numeral ) }.
% 8.15/8.50  (22611) {G0,W2,D2,L1,V0,M1}  { class_Groups_Omonoid__add( 
% 8.15/8.50    tc_Code__Numeral_Ocode__numeral ) }.
% 8.15/8.50  (22612) {G0,W2,D2,L1,V0,M1}  { class_Rings_Osemiring__1( 
% 8.15/8.50    tc_Code__Numeral_Ocode__numeral ) }.
% 8.15/8.50  (22613) {G0,W2,D2,L1,V0,M1}  { class_Rings_Osemiring__0( 
% 8.15/8.50    tc_Code__Numeral_Ocode__numeral ) }.
% 8.15/8.50  (22614) {G0,W2,D2,L1,V0,M1}  { class_Rings_Omult__zero( 
% 8.15/8.50    tc_Code__Numeral_Ocode__numeral ) }.
% 8.15/8.50  (22615) {G0,W2,D2,L1,V0,M1}  { class_Orderings_Oorder( 
% 8.15/8.50    tc_Code__Numeral_Ocode__numeral ) }.
% 8.15/8.51  (22616) {G0,W2,D2,L1,V0,M1}  { class_Rings_Osemiring( 
% 8.15/8.51    tc_Code__Numeral_Ocode__numeral ) }.
% 8.15/8.51  (22617) {G0,W2,D2,L1,V0,M1}  { class_Orderings_Oord( 
% 8.15/8.51    tc_Code__Numeral_Ocode__numeral ) }.
% 8.15/8.51  (22618) {G0,W2,D2,L1,V0,M1}  { class_Power_Opower( 
% 8.15/8.51    tc_Code__Numeral_Ocode__numeral ) }.
% 8.15/8.51  (22619) {G0,W2,D2,L1,V0,M1}  { class_Groups_Ozero( 
% 8.15/8.51    tc_Code__Numeral_Ocode__numeral ) }.
% 8.15/8.51  (22620) {G0,W2,D2,L1,V0,M1}  { class_Int_Onumber( 
% 8.15/8.51    tc_Code__Numeral_Ocode__numeral ) }.
% 8.15/8.51  (22621) {G0,W2,D2,L1,V0,M1}  { class_Groups_Oone( 
% 8.15/8.51    tc_Code__Numeral_Ocode__numeral ) }.
% 8.15/8.51  (22622) {G0,W8,D4,L1,V0,M1}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.51    tc_RealDef_Oreal, hAPP( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, 
% 8.15/8.51    v_da____ ), v_m____ ), v_e ) }.
% 8.15/8.51  
% 8.15/8.51  
% 8.15/8.51  Total Proof:
% 8.15/8.51  
% 8.15/8.51  subsumption: (1) {G0,W5,D3,L1,V0,M1} I { c_Orderings_Oord__class_Oless( 
% 8.15/8.51    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), 
% 8.15/8.51    v_m____ ) }.
% 8.15/8.51  parent0: (20693) {G0,W5,D3,L1,V0,M1}  { c_Orderings_Oord__class_Oless( 
% 8.15/8.51    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), 
% 8.15/8.51    v_m____ ) }.
% 8.15/8.51  substitution0:
% 8.15/8.51  end
% 8.15/8.51  permutation0:
% 8.15/8.51     0 ==> 0
% 8.15/8.51  end
% 8.15/8.51  
% 8.15/8.51  subsumption: (2) {G0,W7,D3,L1,V0,M1} I { c_Orderings_Oord__class_Oless( 
% 8.15/8.51    tc_RealDef_Oreal, v_da____, c_Rings_Oinverse__class_Odivide( 
% 8.15/8.51    tc_RealDef_Oreal, v_e, v_m____ ) ) }.
% 8.15/8.51  parent0: (20694) {G0,W7,D3,L1,V0,M1}  { c_Orderings_Oord__class_Oless( 
% 8.15/8.51    tc_RealDef_Oreal, v_da____, c_Rings_Oinverse__class_Odivide( 
% 8.15/8.51    tc_RealDef_Oreal, v_e, v_m____ ) ) }.
% 8.15/8.51  substitution0:
% 8.15/8.51  end
% 8.15/8.51  permutation0:
% 8.15/8.51     0 ==> 0
% 8.15/8.51  end
% 8.15/8.51  
% 8.15/8.51  subsumption: (71) {G0,W14,D3,L3,V4,M3} I { ! 
% 8.15/8.51    class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 8.15/8.51    c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X, 
% 8.15/8.51    Z, Y ) ), alpha30( X, Y, Z, T ) }.
% 8.15/8.51  parent0: (20768) {G0,W14,D3,L3,V4,M3}  { ! 
% 8.15/8.51    class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 8.15/8.51    c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X, 
% 8.15/8.51    Z, Y ) ), alpha30( X, Y, Z, T ) }.
% 8.15/8.51  substitution0:
% 8.15/8.51     X := X
% 8.15/8.51     Y := Y
% 8.15/8.51     Z := Z
% 8.15/8.51     T := T
% 8.15/8.51  end
% 8.15/8.51  permutation0:
% 8.15/8.51     0 ==> 0
% 8.15/8.51     1 ==> 1
% 8.15/8.51     2 ==> 2
% 8.15/8.51  end
% 8.15/8.51  
% 8.15/8.51  subsumption: (83) {G0,W18,D4,L3,V4,M3} I { ! alpha30( X, Y, Z, T ), ! 
% 8.15/8.51    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ), 
% 8.15/8.51    c_Orderings_Oord__class_Oless( X, hAPP( c_Groups_Otimes__class_Otimes( X
% 8.15/8.51    , T ), Y ), Z ) }.
% 8.15/8.51  parent0: (20780) {G0,W18,D4,L3,V4,M3}  { ! alpha30( X, Y, Z, T ), ! 
% 8.15/8.51    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ), 
% 8.15/8.51    c_Orderings_Oord__class_Oless( X, hAPP( c_Groups_Otimes__class_Otimes( X
% 8.15/8.51    , T ), Y ), Z ) }.
% 8.15/8.51  substitution0:
% 8.15/8.51     X := X
% 8.15/8.51     Y := Y
% 8.15/8.51     Z := Z
% 8.15/8.51     T := T
% 8.15/8.51  end
% 8.15/8.51  permutation0:
% 8.15/8.51     0 ==> 0
% 8.15/8.51     1 ==> 1
% 8.15/8.51     2 ==> 2
% 8.15/8.51  end
% 8.15/8.51  
% 8.15/8.51  *** allocated 864960 integers for termspace/termends
% 8.15/8.51  subsumption: (1475) {G0,W2,D2,L1,V0,M1} I { 
% 8.15/8.51    class_Fields_Olinordered__field__inverse__zero( tc_RealDef_Oreal ) }.
% 8.15/8.51  parent0: (22478) {G0,W2,D2,L1,V0,M1}  { 
% 8.15/8.51    class_Fields_Olinordered__field__inverse__zero( tc_RealDef_Oreal ) }.
% 8.15/8.51  substitution0:
% 8.15/8.51  end
% 8.15/8.51  permutation0:
% 8.15/8.51     0 ==> 0
% 8.15/8.51  end
% 8.15/8.51  
% 8.15/8.51  subsumption: (1619) {G0,W8,D4,L1,V0,M1} I { ! c_Orderings_Oord__class_Oless
% 8.15/8.51    ( tc_RealDef_Oreal, hAPP( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal
% 8.15/8.51    , v_da____ ), v_m____ ), v_e ) }.
% 8.15/8.51  parent0: (22622) {G0,W8,D4,L1,V0,M1}  { ! c_Orderings_Oord__class_Oless( 
% 8.15/8.51    tc_RealDef_Oreal, hAPP( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, 
% 8.15/8.51    v_da____ ), v_m____ ), v_e ) }.
% 8.15/8.51  substitution0:
% 8.15/8.51  end
% 8.15/8.51  permutation0:
% 8.15/8.51     0 ==> 0
% 8.15/8.51  end
% 8.15/8.51  
% 8.15/8.51  resolution: (26035) {G1,W7,D2,L2,V0,M2}  { ! 
% 8.15/8.51    class_Fields_Olinordered__field__inverse__zero( tc_RealDef_Oreal ), 
% 8.15/8.51    alpha30( tc_RealDef_Oreal, v_m____, v_e, v_da____ ) }.
% 8.15/8.51  parent0[1]: (71) {G0,W14,D3,L3,V4,M3} I { ! 
% 8.15/8.51    class_Fields_Olinordered__field__inverse__zero( X ), ! 
% 8.15/8.51    c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X, 
% 8.15/8.51    Z, Y ) ), alpha30( X, Y, Z, T ) }.
% 8.15/8.51  parent1[0]: (2) {G0,W7,D3,L1,V0,M1} I { c_Orderings_Oord__class_Oless( 
% 8.15/8.51    tc_RealDef_Oreal, v_da____, c_Rings_Oinverse__class_Odivide( 
% 8.15/8.51    tc_RealDef_Oreal, v_e, v_m____ ) ) }.
% 8.15/8.51  substitution0:
% 8.15/8.51     X := tc_RealDef_Oreal
% 8.15/8.51     Y := v_m____
% 8.15/8.51     Z := v_e
% 8.15/8.51     T := v_da____
% 8.15/8.51  end
% 8.15/8.51  substitution1:
% 8.15/8.51  end
% 8.15/8.51  
% 8.15/8.51  resolution: (26036) {G1,W5,D2,L1,V0,M1}  { alpha30( tc_RealDef_Oreal, 
% 8.15/8.51    v_m____, v_e, v_da____ ) }.
% 8.15/8.51  parent0[0]: (26035) {G1,W7,D2,L2,V0,M2}  { ! 
% 8.15/8.51    class_Fields_Olinordered__field__inverse__zero( tc_RealDef_Oreal ), 
% 8.15/8.51    alpha30( tc_RealDef_Oreal, v_m____, v_e, v_da____ ) }.
% 8.15/8.51  parent1[0]: (1475) {G0,W2,D2,L1,V0,M1} I { 
% 8.15/8.51    class_Fields_Olinordered__field__inverse__zero( tc_RealDef_Oreal ) }.
% 8.15/8.51  substitution0:
% 8.15/8.51  end
% 8.15/8.51  substitution1:
% 8.15/8.51  end
% 8.15/8.51  
% 8.15/8.51  subsumption: (6732) {G1,W5,D2,L1,V0,M1} R(71,2);r(1475) { alpha30( 
% 8.15/8.51    tc_RealDef_Oreal, v_m____, v_e, v_da____ ) }.
% 8.15/8.51  parent0: (26036) {G1,W5,D2,L1,V0,M1}  { alpha30( tc_RealDef_Oreal, v_m____
% 8.15/8.51    , v_e, v_da____ ) }.
% 8.15/8.51  substitution0:
% 8.15/8.51  end
% 8.15/8.51  permutation0:
% 8.15/8.51     0 ==> 0
% 8.15/8.51  end
% 8.15/8.51  
% 8.15/8.51  resolution: (26037) {G1,W13,D4,L2,V0,M2}  { ! c_Orderings_Oord__class_Oless
% 8.15/8.51    ( tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), 
% 8.15/8.51    v_m____ ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, hAPP( 
% 8.15/8.51    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, v_da____ ), v_m____ ), 
% 8.15/8.51    v_e ) }.
% 8.15/8.51  parent0[0]: (83) {G0,W18,D4,L3,V4,M3} I { ! alpha30( X, Y, Z, T ), ! 
% 8.15/8.51    c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ), 
% 8.15/8.51    c_Orderings_Oord__class_Oless( X, hAPP( c_Groups_Otimes__class_Otimes( X
% 8.15/8.51    , T ), Y ), Z ) }.
% 8.15/8.51  parent1[0]: (6732) {G1,W5,D2,L1,V0,M1} R(71,2);r(1475) { alpha30( 
% 8.15/8.51    tc_RealDef_Oreal, v_m____, v_e, v_da____ ) }.
% 8.15/8.51  substitution0:
% 8.15/8.51     X := tc_RealDef_Oreal
% 8.15/8.51     Y := v_m____
% 8.15/8.51     Z := v_e
% 8.15/8.51     T := v_da____
% 8.15/8.51  end
% 8.15/8.51  substitution1:
% 8.15/8.51  end
% 8.15/8.51  
% 8.15/8.51  resolution: (26038) {G1,W8,D4,L1,V0,M1}  { c_Orderings_Oord__class_Oless( 
% 8.15/8.51    tc_RealDef_Oreal, hAPP( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, 
% 8.15/8.51    v_da____ ), v_m____ ), v_e ) }.
% 8.15/8.51  parent0[0]: (26037) {G1,W13,D4,L2,V0,M2}  { ! c_Orderings_Oord__class_Oless
% 8.15/8.51    ( tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), 
% 8.15/8.51    v_m____ ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, hAPP( 
% 8.15/8.51    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, v_da____ ), v_m____ ), 
% 8.15/8.51    v_e ) }.
% 8.15/8.51  parent1[0]: (1) {G0,W5,D3,L1,V0,M1} I { c_Orderings_Oord__class_Oless( 
% 8.15/8.51    tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), 
% 8.15/8.51    v_m____ ) }.
% 8.15/8.51  substitution0:
% 8.15/8.51  end
% 8.15/8.51  substitution1:
% 8.15/8.51  end
% 8.15/8.51  
% 8.15/8.51  subsumption: (7219) {G2,W8,D4,L1,V0,M1} R(83,6732);r(1) { 
% 8.15/8.51    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, hAPP( 
% 8.15/8.51    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, v_da____ ), v_m____ ), 
% 8.15/8.51    v_e ) }.
% 8.15/8.51  parent0: (26038) {G1,W8,D4,L1,V0,M1}  { c_Orderings_Oord__class_Oless( 
% 8.15/8.51    tc_RealDef_Oreal, hAPP( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, 
% 8.15/8.51    v_da____ ), v_m____ ), v_e ) }.
% 8.15/8.51  substitution0:
% 8.15/8.51  end
% 8.15/8.51  permutation0:
% 8.15/8.51     0 ==> 0
% 8.15/8.51  end
% 8.15/8.51  
% 8.15/8.51  resolution: (26039) {G1,W0,D0,L0,V0,M0}  {  }.
% 8.15/8.51  parent0[0]: (1619) {G0,W8,D4,L1,V0,M1} I { ! c_Orderings_Oord__class_Oless
% 8.15/8.51    ( tc_RealDef_Oreal, hAPP( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal
% 8.15/8.51    , v_da____ ), v_m____ ), v_e ) }.
% 8.15/8.51  parent1[0]: (7219) {G2,W8,D4,L1,V0,M1} R(83,6732);r(1) { 
% 8.15/8.51    c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, hAPP( 
% 8.15/8.51    c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, v_da____ ), v_m____ ), 
% 8.15/8.51    v_e ) }.
% 8.15/8.51  substitution0:
% 8.15/8.51  end
% 8.15/8.51  substitution1:
% 8.15/8.51  end
% 8.15/8.51  
% 8.15/8.51  subsumption: (20690) {G3,W0,D0,L0,V0,M0} S(7219);r(1619) {  }.
% 8.15/8.51  parent0: (26039) {G1,W0,D0,L0,V0,M0}  {  }.
% 8.15/8.51  substitution0:
% 8.15/8.51  end
% 8.15/8.51  permutation0:
% 8.15/8.51  end
% 8.15/8.51  
% 8.15/8.51  Proof check complete!
% 8.15/8.51  
% 8.15/8.51  Memory use:
% 8.15/8.51  
% 8.15/8.51  space for terms:        530766
% 8.15/8.51  space for clauses:      957824
% 8.15/8.51  
% 8.15/8.51  
% 8.15/8.51  clauses generated:      68512
% 8.15/8.51  clauses kept:           20691
% 8.15/8.51  clauses selected:       658
% 8.15/8.51  clauses deleted:        44
% 8.15/8.51  clauses inuse deleted:  5
% 8.15/8.51  
% 8.15/8.51  subsentry:          205581
% 8.15/8.51  literals s-matched: 100849
% 8.15/8.51  literals matched:   91045
% 8.15/8.51  full subsumption:   59815
% 8.15/8.51  
% 8.15/8.51  checksum:           2120755342
% 8.15/8.51  
% 8.15/8.51  
% 8.15/8.51  Bliksem ended
%------------------------------------------------------------------------------