TSTP Solution File: SWW211+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWW211+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n032.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 23:21:15 EDT 2022
% Result : Timeout 300.07s 300.53s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : SWW211+1 : TPTP v8.1.0. Released v5.2.0.
% 0.05/0.10 % Command : bliksem %s
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % DateTime : Sat Jun 4 10:58:02 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.73/1.32 *** allocated 10000 integers for termspace/termends
% 0.73/1.32 *** allocated 10000 integers for clauses
% 0.73/1.32 *** allocated 10000 integers for justifications
% 0.73/1.32 *** allocated 15000 integers for termspace/termends
% 0.73/1.32 *** allocated 22500 integers for termspace/termends
% 0.73/1.32 *** allocated 33750 integers for termspace/termends
% 0.73/1.32 Bliksem 1.12
% 0.73/1.32
% 0.73/1.32
% 0.73/1.32 Automatic Strategy Selection
% 0.73/1.32
% 0.73/1.32 *** allocated 50625 integers for termspace/termends
% 0.73/1.32 *** allocated 75937 integers for termspace/termends
% 0.73/1.32 *** allocated 113905 integers for termspace/termends
% 0.73/1.32
% 0.73/1.32 Clauses:
% 0.73/1.32
% 0.73/1.32 { ! hAPP( Y, skol1( X, Y ) ) = hAPP( X, skol1( X, Y ) ), Y = X }.
% 0.73/1.32 { c_SEQ_Osubseq( v_f____ ) }.
% 0.73/1.32 { c_SEQ_Osubseq( v_ga____ ) }.
% 0.73/1.32 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.32 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), v_e____ ) }.
% 0.73/1.32 { c_SEQ_Osubseq( c_Fun_Ocomp( tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat,
% 0.73/1.32 v_f____, v_ga____ ) ) }.
% 0.73/1.32 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.32 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, v_s( X ) ), v_r ) }
% 0.73/1.32 .
% 0.73/1.32 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.73/1.32 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus( X, Z,
% 0.73/1.32 Y ) ) = c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus
% 0.73/1.32 ( X, Y, Z ) ) }.
% 0.73/1.32 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.73/1.32 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.73/1.32 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, U, T ),
% 0.73/1.32 c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.73/1.32 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.73/1.32 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.73/1.32 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, Z, Y ),
% 0.73/1.32 c_Orderings_Oord__class_Oless( X, U, T ) }.
% 0.73/1.32 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, v_N1____, hAPP( v_ga____
% 0.73/1.32 , v_n____ ) ) }.
% 0.73/1.32 { ! c_Complex_Ocomplex_OComplex( T, Z ) = c_Complex_Ocomplex_OComplex( Y, X
% 0.73/1.32 ), T = Y }.
% 0.73/1.32 { ! c_Complex_Ocomplex_OComplex( T, Z ) = c_Complex_Ocomplex_OComplex( Y, X
% 0.73/1.32 ), Z = X }.
% 0.73/1.32 { ! T = Y, ! Z = X, c_Complex_Ocomplex_OComplex( T, Z ) =
% 0.73/1.32 c_Complex_Ocomplex_OComplex( Y, X ) }.
% 0.73/1.32 { c_Fun_Ocomp( V0, W, U, T, c_Fun_Ocomp( Z, V0, U, Y, X ) ) = c_Fun_Ocomp(
% 0.73/1.32 Z, W, U, c_Fun_Ocomp( V0, W, Z, T, Y ), X ) }.
% 0.73/1.32 { hAPP( c_Fun_Ocomp( W, U, T, Z, Y ), X ) = hAPP( Z, hAPP( Y, X ) ) }.
% 0.73/1.32 { ! hAPP( W, hAPP( U, T ) ) = hAPP( Z, hAPP( Y, X ) ), hAPP( c_Fun_Ocomp(
% 0.73/1.32 V4, V3, V2, W, U ), T ) = hAPP( c_Fun_Ocomp( V1, V3, V0, Z, Y ), X ) }.
% 0.73/1.32 { ! c_Fun_Ocomp( W, U, T, Z, Y ) = X, hAPP( Z, hAPP( Y, V0 ) ) = hAPP( X,
% 0.73/1.32 V0 ) }.
% 0.73/1.32 { ! c_Fun_Ocomp( V1, V0, W, T, Z ) = c_Fun_Ocomp( U, V0, W, Y, X ), hAPP( T
% 0.73/1.32 , hAPP( Z, V2 ) ) = hAPP( Y, hAPP( X, V2 ) ) }.
% 0.73/1.32 { ! c_Fun_Ocomp( V1, V0, W, T, Z ) = c_Fun_Ocomp( U, V0, W, Y, X ), hAPP( T
% 0.73/1.32 , hAPP( Z, V2 ) ) = hAPP( Y, hAPP( X, V2 ) ) }.
% 0.73/1.32 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.32 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), v_r ) }.
% 0.73/1.32 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, v_N2____, v_n____ ) }.
% 0.73/1.32 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.32 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.73/1.32 c_RealVector_Onorm__class_Onorm( X, Y ) ) }.
% 0.73/1.32 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.73/1.32 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ozero__class_Ozero( X ) ) =
% 0.73/1.32 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.73/1.32 { ! class_Groups_Ozero( X ), ! c_Groups_Ozero__class_Ozero( X ) = Y, Y =
% 0.73/1.32 c_Groups_Ozero__class_Ozero( X ) }.
% 0.73/1.32 { ! class_Groups_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X ),
% 0.73/1.32 c_Groups_Ozero__class_Ozero( X ) = Y }.
% 0.73/1.32 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ominus__class_Ominus( X, Z
% 0.73/1.32 , Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.73/1.32 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ominus__class_Ominus( X, Z
% 0.73/1.32 , Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.73/1.32 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.73/1.32 c_RealVector_Onorm__class_Onorm( X, Y ) = c_Groups_Ozero__class_Ozero(
% 0.73/1.32 tc_RealDef_Oreal ), Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.73/1.32 { ! class_RealVector_Oreal__normed__vector( X ), ! Y =
% 0.73/1.32 c_Groups_Ozero__class_Ozero( X ), c_RealVector_Onorm__class_Onorm( X, Y )
% 0.73/1.32 = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.73/1.32 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.32 c_RealVector_Onorm__class_Onorm( X, Y ), c_Groups_Ozero__class_Ozero(
% 0.73/1.32 tc_RealDef_Oreal ) ), Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.73/1.32 { ! class_RealVector_Oreal__normed__vector( X ), ! Y =
% 0.73/1.32 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless__eq(
% 0.73/1.32 tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm( X, Y ),
% 0.73/1.32 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.73/1.32 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.73/1.32 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.73/1.32 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.73/1.32 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.73/1.32 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.73/1.32 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( X, U, T ) }.
% 0.73/1.32 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ominus__class_Ominus( X, Z, Y
% 0.73/1.32 ) = c_Groups_Ozero__class_Ozero( X ), Z = Y }.
% 0.73/1.32 { ! class_Groups_Ogroup__add( X ), ! Z = Y, c_Groups_Ominus__class_Ominus(
% 0.73/1.32 X, Z, Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.73/1.32 { ! class_Groups_Oab__group__add( X ), ! Z = Y,
% 0.73/1.32 c_Groups_Ominus__class_Ominus( X, Z, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.73/1.32 ) }.
% 0.73/1.32 { ! class_Groups_Oab__group__add( X ), ! c_Groups_Ominus__class_Ominus( X,
% 0.73/1.32 Z, Y ) = c_Groups_Ozero__class_Ozero( X ), Z = Y }.
% 0.73/1.32 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X, Y, Y )
% 0.73/1.32 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.73/1.32 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X, Y,
% 0.73/1.32 c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.73/1.32 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.32 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.73/1.32 c_RealVector_Onorm__class_Onorm( X, Y ) ), ! Y =
% 0.73/1.32 c_Groups_Ozero__class_Ozero( X ) }.
% 0.73/1.32 { ! class_RealVector_Oreal__normed__vector( X ), Y =
% 0.73/1.32 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless(
% 0.73/1.32 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.73/1.32 c_RealVector_Onorm__class_Onorm( X, Y ) ) }.
% 0.73/1.32 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.73/1.32 X, c_Groups_Ominus__class_Ominus( X, Z, Y ), c_Groups_Ozero__class_Ozero
% 0.73/1.32 ( X ) ) }.
% 0.73/1.32 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless( X, c_Groups_Ominus__class_Ominus( X, Z, Y
% 0.73/1.32 ), c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 0.73/1.32 , Z, Y ) }.
% 0.73/1.32 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.32 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.73/1.32 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.73/1.32 ( X, Y ) ), c_RealVector_Onorm__class_Onorm( X,
% 0.73/1.32 c_Groups_Ominus__class_Ominus( X, Z, Y ) ) ) }.
% 0.73/1.32 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.32 c_RealVector_Onorm__class_Onorm( X, Y ), c_Groups_Ozero__class_Ozero(
% 0.73/1.32 tc_RealDef_Oreal ) ) }.
% 0.73/1.32 { c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex,
% 0.73/1.32 c_Complex_Ocomplex_OComplex( T, Z ), c_Complex_Ocomplex_OComplex( Y, X )
% 0.73/1.32 ) = c_Complex_Ocomplex_OComplex( c_Groups_Ominus__class_Ominus(
% 0.73/1.32 tc_RealDef_Oreal, T, Y ), c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal
% 0.73/1.32 , Z, X ) ) }.
% 0.73/1.32 { ! class_Groups_Oab__group__add( X ), ! c_Groups_Ominus__class_Ominus( X,
% 0.73/1.32 U, T ) = c_Groups_Ominus__class_Ominus( X, Z, Y ), ! U = T, Z = Y }.
% 0.73/1.32 { ! class_Groups_Oab__group__add( X ), ! c_Groups_Ominus__class_Ominus( X,
% 0.73/1.32 U, T ) = c_Groups_Ominus__class_Ominus( X, Z, Y ), ! Z = Y, U = T }.
% 0.73/1.32 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.32 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, v_s(
% 0.73/1.32 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), v_r ) }.
% 0.73/1.32 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.73/1.32 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ), v_n____ )
% 0.73/1.32 }.
% 0.73/1.32 { ! class_Orderings_Opreorder( X ), c_Orderings_Oord__class_Oless__eq( X, Y
% 0.73/1.32 , Y ) }.
% 0.73/1.32 { c_Complex_Ocomplex_Ocomplex__case( T, Z, c_Complex_Ocomplex_OComplex( Y,
% 0.73/1.32 X ) ) = hAPP( hAPP( Z, Y ), X ) }.
% 0.73/1.32 { c_Complex_Ocomplex_Ocomplex__rec( T, Z, c_Complex_Ocomplex_OComplex( Y, X
% 0.73/1.32 ) ) = hAPP( hAPP( Z, Y ), X ) }.
% 0.73/1.32 { ! c_SEQ_Osubseq( X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.73/1.32 hAPP( X, Y ) ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.73/1.32 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ), Y = X }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.73/1.32 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ), ! Y = X }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ), Y = X,
% 0.73/1.32 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.32 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, X ),
% 0.73/1.32 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.32 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, X ),
% 0.73/1.32 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.73/1.32 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.73/1.32 , Y ), ! c_Orderings_Oord__class_Oless( X, T, Z ),
% 0.73/1.32 c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.73/1.32 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.73/1.32 , Z, Y ), ! c_Orderings_Oord__class_Oless( X, Y, T ),
% 0.73/1.32 c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.73/1.32 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.73/1.32 , ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.73/1.32 c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.73/1.32 { ! class_Groups_Oab__semigroup__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.73/1.32 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.73/1.32 ( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y ) ) }.
% 0.73/1.32 { ! class_Groups_Ocancel__semigroup__add( X ), !
% 0.73/1.32 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.73/1.32 T, Y ), Z = Y }.
% 0.73/1.32 { ! class_Groups_Ocancel__semigroup__add( X ), ! Z = Y,
% 0.73/1.32 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.73/1.32 T, Y ) }.
% 0.73/1.32 { ! class_Groups_Ocancel__semigroup__add( X ), !
% 0.73/1.32 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.73/1.32 Y, Z ), T = Y }.
% 0.73/1.32 { ! class_Groups_Ocancel__semigroup__add( X ), ! T = Y,
% 0.73/1.32 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.73/1.32 Y, Z ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.73/1.32 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 0.73/1.32 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.73/1.32 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 0.73/1.32 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.73/1.32 { ! class_Groups_Ocancel__semigroup__add( X ), !
% 0.73/1.32 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.73/1.32 T, Y ), Z = Y }.
% 0.73/1.32 { ! class_Groups_Ocancel__ab__semigroup__add( X ), !
% 0.73/1.32 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.73/1.32 T, Y ), Z = Y }.
% 0.73/1.32 { ! class_Groups_Ocancel__semigroup__add( X ), !
% 0.73/1.32 c_Groups_Oplus__class_Oplus( X, Z, T ) = c_Groups_Oplus__class_Oplus( X,
% 0.73/1.32 Y, T ), Z = Y }.
% 0.73/1.32 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.32 c_RealVector_Onorm__class_Onorm( X, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.73/1.32 ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.73/1.32 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.73/1.32 ( X, Y ) ) ) }.
% 0.73/1.32 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.32 c_RealVector_Onorm__class_Onorm( X, Z ), Y ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.32 c_RealVector_Onorm__class_Onorm( X, U ), T ),
% 0.73/1.32 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.32 c_RealVector_Onorm__class_Onorm( X, c_Groups_Oplus__class_Oplus( X, Z, U
% 0.73/1.32 ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, T ) ) }.
% 0.73/1.32 { ! class_Groups_Ocomm__monoid__add( X ), c_Groups_Oplus__class_Oplus( X, Y
% 0.73/1.32 , c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.73/1.32 { ! class_Groups_Omonoid__add( X ), c_Groups_Oplus__class_Oplus( X, Y,
% 0.73/1.32 c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.73/1.32 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.73/1.32 c_Groups_Ozero__class_Ozero( X ) = c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.73/1.32 , Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.73/1.32 { ! class_Groups_Olinordered__ab__group__add( X ), ! Y =
% 0.73/1.32 c_Groups_Ozero__class_Ozero( X ), c_Groups_Ozero__class_Ozero( X ) =
% 0.73/1.32 c_Groups_Oplus__class_Oplus( X, Y, Y ) }.
% 0.73/1.32 { ! class_Groups_Ocomm__monoid__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.73/1.32 c_Groups_Ozero__class_Ozero( X ), Y ) = Y }.
% 0.73/1.32 { ! class_Groups_Omonoid__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.73/1.32 c_Groups_Ozero__class_Ozero( X ), Y ) = Y }.
% 0.73/1.32 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.73/1.32 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ),
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.73/1.32 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.73/1.32 T ), c_Groups_Oplus__class_Oplus( X, Y, T ) ),
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.73/1.32 { ! class_Groups_Oordered__ab__semigroup__add( X ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.73/1.32 U ), c_Groups_Oplus__class_Oplus( X, Y, T ) ) }.
% 0.73/1.32 { ! class_Groups_Oordered__ab__semigroup__add( X ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.73/1.32 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.73/1.32 { ! class_Groups_Oordered__ab__semigroup__add( X ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.73/1.32 T ), c_Groups_Oplus__class_Oplus( X, Y, T ) ) }.
% 0.73/1.32 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.73/1.32 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ),
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.73/1.32 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.73/1.32 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.73/1.32 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.73/1.32 Z ), c_Groups_Oplus__class_Oplus( X, Y, Z ) ),
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.73/1.32 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( X, T, Y ),
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.73/1.32 Z ), c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.73/1.32 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.73/1.32 , c_Groups_Oplus__class_Oplus( X, Y, Z ) ), c_Orderings_Oord__class_Oless
% 0.73/1.32 ( X, T, Y ) }.
% 0.73/1.32 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless( X, T, Y ), c_Orderings_Oord__class_Oless(
% 0.73/1.32 X, c_Groups_Oplus__class_Oplus( X, T, Z ), c_Groups_Oplus__class_Oplus( X
% 0.73/1.32 , Y, Z ) ) }.
% 0.73/1.32 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.73/1.32 , c_Groups_Oplus__class_Oplus( X, T, Y ) ), c_Orderings_Oord__class_Oless
% 0.73/1.32 ( X, Z, Y ) }.
% 0.73/1.32 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.73/1.32 X, c_Groups_Oplus__class_Oplus( X, T, Z ), c_Groups_Oplus__class_Oplus( X
% 0.73/1.32 , T, Y ) ) }.
% 0.73/1.32 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.73/1.32 X, c_Groups_Oplus__class_Oplus( X, Z, T ), c_Groups_Oplus__class_Oplus( X
% 0.73/1.32 , Y, T ) ) }.
% 0.73/1.32 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.73/1.32 X, c_Groups_Oplus__class_Oplus( X, T, Z ), c_Groups_Oplus__class_Oplus( X
% 0.73/1.32 , T, Y ) ) }.
% 0.73/1.32 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.73/1.32 ( X, U, T ), c_Orderings_Oord__class_Oless( X,
% 0.73/1.32 c_Groups_Oplus__class_Oplus( X, Z, U ), c_Groups_Oplus__class_Oplus( X, Y
% 0.73/1.32 , T ) ) }.
% 0.73/1.32 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Z, T )
% 0.73/1.32 , c_Groups_Oplus__class_Oplus( X, Y, T ) ), c_Orderings_Oord__class_Oless
% 0.73/1.32 ( X, Z, Y ) }.
% 0.73/1.32 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.73/1.32 , c_Groups_Oplus__class_Oplus( X, T, Y ) ), c_Orderings_Oord__class_Oless
% 0.73/1.32 ( X, Z, Y ) }.
% 0.73/1.32 { ! class_Groups_Ogroup__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.73/1.32 c_Groups_Ominus__class_Ominus( X, Z, Y ), Y ) = Z }.
% 0.73/1.32 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X,
% 0.73/1.32 c_Groups_Oplus__class_Oplus( X, Z, Y ), Y ) = Z }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.73/1.32 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.73/1.32 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.73/1.32 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.32 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus( X,
% 0.73/1.32 c_Groups_Oplus__class_Oplus( X, U, T ), c_Groups_Oplus__class_Oplus( X, Z
% 0.73/1.32 , Y ) ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.73/1.32 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus( X, U,
% 0.73/1.32 Z ) ), c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus
% 0.73/1.32 ( X, T, Y ) ) ) ) }.
% 0.73/1.32 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.73/1.32 ), ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.73/1.32 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.73/1.32 , c_Groups_Oplus__class_Oplus( X, Y, Z ), c_Groups_Ozero__class_Ozero( X
% 0.73/1.32 ) ) }.
% 0.73/1.32 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.73/1.32 ), ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Oplus__class_Oplus( X,
% 0.73/1.32 Z, Y ) ) }.
% 0.73/1.32 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.73/1.32 ), ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Oplus__class_Oplus( X,
% 0.73/1.32 Y, Z ) ) }.
% 0.73/1.32 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.73/1.32 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.73/1.32 X ), Z ), ! c_Groups_Oplus__class_Oplus( X, Y, Z ) =
% 0.73/1.32 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.73/1.32 .
% 0.73/1.32 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.73/1.32 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.73/1.32 X ), Z ), ! c_Groups_Oplus__class_Oplus( X, Y, Z ) =
% 0.73/1.32 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ) }
% 0.73/1.32 .
% 0.73/1.32 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.73/1.32 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.73/1.32 X ), Z ), ! Y = c_Groups_Ozero__class_Ozero( X ), ! Z =
% 0.73/1.32 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, Y, Z )
% 0.73/1.32 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.73/1.32 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.73/1.32 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.73/1.32 X ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.73/1.32 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, Y, Z )
% 0.73/1.32 ) }.
% 0.73/1.32 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Y,
% 0.73/1.32 Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.73/1.32 ) }.
% 0.73/1.32 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.73/1.32 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X
% 0.73/1.32 , Y, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.73/1.32 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.73/1.32 c_Groups_Oplus__class_Oplus( X, Y, Y ) ),
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.73/1.32 ) }.
% 0.73/1.32 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.73/1.32 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.73/1.32 ), c_Groups_Oplus__class_Oplus( X, Y, Y ) ) }.
% 0.73/1.32 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.73/1.32 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.73/1.32 , c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y, Z
% 0.73/1.32 ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.73/1.32 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.73/1.32 ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.73/1.32 , c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.73/1.32 c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.73/1.32 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.73/1.32 , c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, Y
% 0.73/1.32 , c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.73/1.32 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.73/1.32 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.73/1.32 , c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.73/1.32 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.73/1.32 c_Groups_Oplus__class_Oplus( X, Y, Y ) ), c_Orderings_Oord__class_Oless(
% 0.73/1.32 X, c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.73/1.32 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.73/1.32 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.73/1.32 c_Groups_Oplus__class_Oplus( X, Y, Y ) ) }.
% 0.73/1.32 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless( X, U, T ), c_Orderings_Oord__class_Oless(
% 0.73/1.32 X, c_Groups_Oplus__class_Oplus( X, Z, U ), c_Groups_Oplus__class_Oplus( X
% 0.73/1.32 , Y, T ) ) }.
% 0.73/1.32 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless( X, Z, Y ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.73/1.32 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Z, U )
% 0.73/1.32 , c_Groups_Oplus__class_Oplus( X, Y, T ) ) }.
% 0.73/1.32 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.32 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.73/1.32 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.73/1.32 ( X, Y ) ), c_RealVector_Onorm__class_Onorm( X,
% 0.73/1.32 c_Groups_Oplus__class_Oplus( X, Z, Y ) ) ) }.
% 0.73/1.32 { ! c_Complex_Ocomplex_OComplex( Y, X ) = c_Groups_Ozero__class_Ozero(
% 0.73/1.32 tc_Complex_Ocomplex ), Y = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal
% 0.73/1.32 ) }.
% 0.73/1.32 { ! c_Complex_Ocomplex_OComplex( Y, X ) = c_Groups_Ozero__class_Ozero(
% 0.73/1.32 tc_Complex_Ocomplex ), X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal
% 0.73/1.32 ) }.
% 0.73/1.32 { ! Y = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! X =
% 0.73/1.32 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.73/1.32 c_Complex_Ocomplex_OComplex( Y, X ) = c_Groups_Ozero__class_Ozero(
% 0.73/1.32 tc_Complex_Ocomplex ) }.
% 0.73/1.32 { c_Groups_Ozero__class_Ozero( tc_Complex_Ocomplex ) =
% 0.73/1.32 c_Complex_Ocomplex_OComplex( c_Groups_Ozero__class_Ozero(
% 0.73/1.32 tc_RealDef_Oreal ), c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.73/1.32 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.73/1.32 ), ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.73/1.32 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y
% 0.73/1.32 , Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.73/1.32 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.73/1.32 ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.73/1.32 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y
% 0.73/1.32 , Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.73/1.32 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.73/1.32 ), ! c_Orderings_Oord__class_Oless( X, T, Z ),
% 0.73/1.32 c_Orderings_Oord__class_Oless( X, T, c_Groups_Oplus__class_Oplus( X, Y, Z
% 0.73/1.32 ) ) }.
% 0.73/1.32 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.73/1.32 ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.73/1.32 c_Orderings_Oord__class_Oless( X, T, c_Groups_Oplus__class_Oplus( X, Y, Z
% 0.73/1.32 ) ) }.
% 0.73/1.32 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.73/1.32 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.73/1.32 , Z ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.73/1.32 , c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.73/1.32 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.73/1.32 ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.73/1.32 , Z ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.73/1.32 , c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.73/1.32 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.73/1.32 , Y ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.73/1.32 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.73/1.32 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( X, hAPP( Z, U ),
% 0.73/1.32 hAPP( Y, U ) ) }.
% 0.73/1.32 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.73/1.32 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.73/1.32 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.73/1.32 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Y = Z }.
% 0.73/1.32 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.73/1.32 , Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, T ),
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.73/1.32 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.73/1.32 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Z = Y }.
% 0.73/1.32 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.73/1.32 , Y ), ! Z = T, c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.73/1.32 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y
% 0.73/1.32 ), ! Y = T, c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.73/1.32 { ! class_Orderings_Oorder( X ), ! Z = Y, !
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( X, T, Y ),
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( X, T, Z ) }.
% 0.73/1.32 { ! class_Orderings_Oord( X ), ! Z = Y, ! c_Orderings_Oord__class_Oless__eq
% 0.73/1.32 ( X, Y, T ), c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.73/1.32 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.73/1.32 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Y = Z }.
% 0.73/1.32 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.73/1.32 , Y ), ! Y = Z, c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.73/1.32 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.73/1.32 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( X, hAPP( Z, U ),
% 0.73/1.32 hAPP( Y, U ) ) }.
% 0.73/1.32 { ! class_Orderings_Opreorder( X ), ! Z = Y,
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.73/1.32 { ! class_Orderings_Oorder( X ), ! Z = Y, c_Orderings_Oord__class_Oless__eq
% 0.73/1.32 ( X, Z, Y ) }.
% 0.73/1.32 { ! class_Orderings_Oorder( X ), ! Z = Y, c_Orderings_Oord__class_Oless__eq
% 0.73/1.32 ( X, Y, Z ) }.
% 0.73/1.32 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.73/1.32 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Z = Y }.
% 0.73/1.32 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.73/1.32 , Y ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.73/1.32 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.73/1.32 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( X, hAPP( Z, U ),
% 0.73/1.32 hAPP( Y, U ) ) }.
% 0.73/1.32 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( X, hAPP
% 0.73/1.32 ( Z, skol2( X, Y, Z ) ), hAPP( Y, skol2( X, Y, Z ) ) ),
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Z, Y ) }.
% 0.73/1.32 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.73/1.32 Y ) }.
% 0.73/1.32 { ! class_Orderings_Olinorder( X ), Z = Y, c_Orderings_Oord__class_Oless( X
% 0.73/1.32 , Z, Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.73/1.32 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.73/1.32 Y ), ! Z = Y }.
% 0.73/1.32 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.73/1.32 Z ), ! Z = Y }.
% 0.73/1.32 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.73/1.32 ), c_Orderings_Oord__class_Oless( X, Y, Z ), Z = Y }.
% 0.73/1.32 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.73/1.32 Z ), ! c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.73/1.32 { ! class_Orderings_Olinorder( X ), ! Z = Y, !
% 0.73/1.32 c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.73/1.32 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.73/1.32 ), Z = Y, c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.73/1.32 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.73/1.32 ), c_Orderings_Oord__class_Oless( X, Y, Z ), Y = Z }.
% 0.73/1.32 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.73/1.32 ), ! Y = Z, ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.73/1.32 { ! class_Orderings_Olinorder( X ), Z = Y, c_Orderings_Oord__class_Oless( X
% 0.73/1.32 , Z, Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.73/1.32 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.73/1.32 , ! Z = Y }.
% 0.73/1.32 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.73/1.32 Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.73/1.32 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.73/1.32 Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.73/1.32 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.73/1.32 , ! Z = Y }.
% 0.73/1.32 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.73/1.32 , ! Y = Z }.
% 0.73/1.32 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.73/1.32 Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.73/1.32 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.73/1.32 , ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.73/1.32 { ! class_Orderings_Oord( X ), ! Z = Y, ! c_Orderings_Oord__class_Oless( X
% 0.73/1.32 , Y, T ), c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.73/1.32 { ! class_Orderings_Oorder( X ), ! Z = Y, ! c_Orderings_Oord__class_Oless(
% 0.73/1.32 X, T, Y ), c_Orderings_Oord__class_Oless( X, T, Z ) }.
% 0.73/1.32 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y ),
% 0.73/1.32 ! Y = T, c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.73/1.32 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.73/1.32 , ! Z = T, c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.73/1.32 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.73/1.32 Y ), ! c_Orderings_Oord__class_Oless( X, Y, T ),
% 0.73/1.32 c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.73/1.32 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.73/1.32 , ! c_Orderings_Oord__class_Oless( X, T, Z ),
% 0.73/1.32 c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.73/1.32 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.73/1.32 Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.73/1.32 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.73/1.32 ), Z = Y, c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, Y ), Y = X }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, Z ),
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, Z ) }.
% 0.73/1.32 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, Y ) }.
% 0.73/1.32 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, X ) }.
% 0.73/1.32 { ! c_SEQ_Osubseq( X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, Z
% 0.73/1.32 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( X, Y ), hAPP( X, Z
% 0.73/1.32 ) ) }.
% 0.73/1.32 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, skol3( X ), skol23( X ) ),
% 0.73/1.32 c_SEQ_Osubseq( X ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( X, skol3( X ) ), hAPP
% 0.73/1.32 ( X, skol23( X ) ) ), c_SEQ_Osubseq( X ) }.
% 0.73/1.32 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.73/1.32 ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.73/1.32 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.73/1.32 , Y, Z ), ! c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.73/1.32 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.73/1.32 , Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.73/1.32 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.73/1.32 Z ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.73/1.32 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.73/1.32 , Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.73/1.32 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.73/1.32 , c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.73/1.32 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.73/1.32 , ! Z = Y }.
% 0.73/1.32 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.73/1.32 , Y ), Z = Y, c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.73/1.32 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.73/1.32 Y ), c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.73/1.32 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.73/1.32 Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.73/1.32 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.73/1.32 , Z, Y ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ),
% 0.73/1.32 c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.73/1.32 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.73/1.32 , Y ), c_Orderings_Oord__class_Oless( X, Z, Y ), Z = Y }.
% 0.73/1.32 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.73/1.32 , c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.73/1.32 { ! class_Orderings_Oorder( X ), ! Z = Y, c_Orderings_Oord__class_Oless__eq
% 0.73/1.32 ( X, Z, Y ) }.
% 0.73/1.32 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.73/1.32 ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.73/1.32 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.73/1.32 , Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.73/1.32 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.73/1.32 ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ), Z = Y }.
% 0.73/1.32 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.73/1.32 ), ! Z = Y, c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.73/1.32 { ! class_Orderings_Oorder( X ), Z = Y, ! c_Orderings_Oord__class_Oless__eq
% 0.73/1.32 ( X, Z, Y ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.73/1.32 { ! class_Orderings_Oorder( X ), Z = Y, ! c_Orderings_Oord__class_Oless__eq
% 0.73/1.32 ( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.73/1.32 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.73/1.32 , Z, Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.73/1.32 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.73/1.32 Y ), c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.73/1.32 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.73/1.32 , Z, Y ), c_Orderings_Oord__class_Oless( X, Z, Y ), Z = Y }.
% 0.73/1.32 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.73/1.32 , Z, Y ), ! Z = Y, ! c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.73/1.32 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.73/1.32 , Y ), c_Orderings_Oord__class_Oless( X, Z, Y ), Z = Y }.
% 0.73/1.32 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.73/1.32 , Y ), Z = Y, c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.73/1.32 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.73/1.32 , Y ), Y = Z, c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.73/1.32 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.73/1.32 Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, T ),
% 0.73/1.32 c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.73/1.32 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.73/1.32 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 0.73/1.32 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.73/1.32 { c_Complex_Ocomplex_Ocomplex__size( c_Complex_Ocomplex_OComplex( Y, X ) )
% 0.73/1.32 = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.73/1.32 { ! hBOOL( hAPP( Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) )
% 0.73/1.32 , ! alpha1( X, Y, Z ) }.
% 0.73/1.32 { ! hBOOL( hAPP( Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) )
% 0.73/1.32 , ! alpha23( X, Y, Z ) }.
% 0.73/1.32 { alpha1( X, Y, Z ), alpha23( X, Y, Z ), hBOOL( hAPP( Z,
% 0.73/1.32 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) ) }.
% 0.73/1.32 { ! alpha23( X, Y, Z ), ! hBOOL( hAPP( Z, skol4( T, U, Z ) ) ) }.
% 0.73/1.32 { ! alpha23( X, Y, Z ), Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.73/1.32 skol4( X, Y, Z ) ) }.
% 0.73/1.32 { ! Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, T ), hBOOL( hAPP( Z, T
% 0.73/1.32 ) ), alpha23( X, Y, Z ) }.
% 0.73/1.32 { ! alpha1( X, Y, Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }
% 0.73/1.32 .
% 0.73/1.32 { ! alpha1( X, Y, Z ), ! hBOOL( hAPP( Z, c_Groups_Ozero__class_Ozero(
% 0.73/1.32 tc_Nat_Onat ) ) ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), hBOOL( hAPP( Z,
% 0.73/1.32 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), alpha1( X, Y, Z ) }.
% 0.73/1.32 { ! hBOOL( hAPP( Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) )
% 0.73/1.32 , alpha2( X, Y, Z ) }.
% 0.73/1.32 { ! hBOOL( hAPP( Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) )
% 0.73/1.32 , alpha24( X, Y, Z ) }.
% 0.73/1.32 { ! alpha2( X, Y, Z ), ! alpha24( X, Y, Z ), hBOOL( hAPP( Z,
% 0.73/1.32 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) ) }.
% 0.73/1.32 { ! alpha24( X, Y, Z ), ! Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.73/1.32 T ), hBOOL( hAPP( Z, T ) ) }.
% 0.73/1.32 { ! hBOOL( hAPP( Z, skol5( T, U, Z ) ) ), alpha24( X, Y, Z ) }.
% 0.73/1.32 { Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, skol5( X, Y, Z ) ),
% 0.73/1.32 alpha24( X, Y, Z ) }.
% 0.73/1.32 { ! alpha2( X, Y, Z ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X )
% 0.73/1.32 , hBOOL( hAPP( Z, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) }.
% 0.73/1.32 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), alpha2( X, Y, Z ) }.
% 0.73/1.32 { ! hBOOL( hAPP( Z, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), alpha2
% 0.73/1.32 ( X, Y, Z ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.73/1.32 ( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ),
% 0.73/1.32 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.73/1.32 tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.73/1.32 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.73/1.32 ( tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.73/1.32 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus(
% 0.73/1.32 tc_Nat_Onat, Y, X ) ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.73/1.32 ( tc_Nat_Onat ), X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.73/1.32 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus(
% 0.73/1.32 tc_Nat_Onat, Y, X ) ) }.
% 0.73/1.32 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.73/1.32 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless( X, T, Z ), c_Orderings_Oord__class_Oless(
% 0.73/1.32 X, T, c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.73/1.32 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.73/1.32 , c_Groups_Oplus__class_Oplus( X, Y, Y ), c_Groups_Ozero__class_Ozero( X
% 0.73/1.32 ) ), c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X
% 0.73/1.32 ) ) }.
% 0.73/1.32 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.73/1.32 , Y, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 0.73/1.32 , c_Groups_Oplus__class_Oplus( X, Y, Y ), c_Groups_Ozero__class_Ozero( X
% 0.73/1.32 ) ) }.
% 0.73/1.32 { c_Nat_Osize__class_Osize( tc_Complex_Ocomplex,
% 0.73/1.32 c_Complex_Ocomplex_OComplex( Y, X ) ) = c_Groups_Ozero__class_Ozero(
% 0.73/1.32 tc_Nat_Onat ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.73/1.32 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, X ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.73/1.32 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.73/1.32 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ), X ),
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.73/1.32 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless( tc_fun( T,
% 0.73/1.32 X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Z, Y ) }
% 0.73/1.32 .
% 0.73/1.32 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless( tc_fun( T,
% 0.73/1.32 X ), Z, Y ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Y, Z )
% 0.73/1.32 }.
% 0.73/1.32 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.73/1.32 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Y, Z
% 0.73/1.32 ), c_Orderings_Oord__class_Oless( tc_fun( T, X ), Z, Y ) }.
% 0.73/1.32 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.73/1.32 ( tc_Nat_Onat, Z, Y ), X ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.73/1.32 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, X ), Y ) }.
% 0.73/1.32 { c_Groups_Oplus__class_Oplus( tc_Complex_Ocomplex,
% 0.73/1.32 c_Complex_Ocomplex_OComplex( T, Z ), c_Complex_Ocomplex_OComplex( Y, X )
% 0.73/1.32 ) = c_Complex_Ocomplex_OComplex( c_Groups_Oplus__class_Oplus(
% 0.73/1.32 tc_RealDef_Oreal, T, Y ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.73/1.32 Z, X ) ) }.
% 0.73/1.32 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.32 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, Y ),
% 0.73/1.32 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.73/1.32 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.73/1.32 c_Groups_Oplus__class_Oplus( tc_Complex_Ocomplex, Y, X ) ),
% 0.73/1.32 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ) ) ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.32 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Z, Y ),
% 0.73/1.32 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Z, X ) ) }.
% 0.73/1.32 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.32 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus( X, Z,
% 0.73/1.32 Y ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.73/1.32 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.73/1.32 ( X, Y ) ) ) }.
% 0.73/1.32 { ! class_Rings_Olinordered__idom( X ), Z = Y,
% 0.73/1.32 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.73/1.32 X, Y, Z ) }.
% 0.73/1.32 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.32 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.73/1.32 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.73/1.32 c_Groups_Oplus__class_Oplus( tc_Complex_Ocomplex, Y, X ) ),
% 0.73/1.32 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, Y ) ),
% 0.73/1.32 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ) ) }.
% 0.73/1.32 { ! c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) =
% 0.73/1.32 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), !
% 0.73/1.32 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) =
% 0.73/1.32 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y = X }.
% 0.73/1.32 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, X ) =
% 0.73/1.32 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.73/1.32 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X,
% 0.73/1.32 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) = X }.
% 0.73/1.32 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.73/1.32 tc_Nat_Onat ), X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.73/1.32 { alpha54( X, Y, Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, Z ),
% 0.73/1.32 hBOOL( hAPP( hAPP( X, Y ), Z ) ) }.
% 0.73/1.32 { alpha54( X, Y, Z ), ! hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP
% 0.73/1.32 ( X, Y ), Z ) ) }.
% 0.73/1.32 { ! alpha54( X, Y, Z ), alpha56( X, Y, Z ), Z = Y }.
% 0.73/1.32 { ! alpha54( X, Y, Z ), alpha56( X, Y, Z ), ! hBOOL( hAPP( hAPP( X, Y ), Z
% 0.73/1.32 ) ) }.
% 0.73/1.32 { ! alpha56( X, Y, Z ), alpha54( X, Y, Z ) }.
% 0.73/1.32 { ! Z = Y, hBOOL( hAPP( hAPP( X, Y ), Z ) ), alpha54( X, Y, Z ) }.
% 0.73/1.32 { ! alpha56( X, Y, Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y )
% 0.73/1.32 }.
% 0.73/1.32 { ! alpha56( X, Y, Z ), ! hBOOL( hAPP( hAPP( X, Y ), Z ) ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y ), hBOOL( hAPP( hAPP(
% 0.73/1.32 X, Y ), Z ) ), alpha56( X, Y, Z ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, Z ),
% 0.73/1.32 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.73/1.32 ( tc_Nat_Onat, Z, X ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.73/1.32 ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.73/1.32 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.73/1.32 ( tc_Nat_Onat, Y, Z ), X ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! Y = X }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! X = Y }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, X ) }.
% 0.73/1.32 { Y = X, c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.73/1.32 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ) }.
% 0.73/1.32 { Y = X, c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.73/1.32 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! Y = X }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ), ! Y = X }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, X ) }.
% 0.73/1.32 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.73/1.32 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) }.
% 0.73/1.32 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, c_Groups_Oplus__class_Oplus
% 0.73/1.32 ( tc_Nat_Onat, Y, X ) ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y,
% 0.73/1.32 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.73/1.32 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.73/1.32 tc_Nat_Onat, Z, Y ), X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z,
% 0.73/1.32 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.73/1.32 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) =
% 0.73/1.32 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ), Y = X }.
% 0.73/1.32 { ! Y = X, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) =
% 0.73/1.32 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) }.
% 0.73/1.32 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) =
% 0.73/1.32 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ), Z = X }.
% 0.73/1.32 { ! Z = X, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) =
% 0.73/1.32 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) }.
% 0.73/1.32 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.73/1.32 tc_Nat_Onat, Z, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) =
% 0.73/1.32 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, X ) }.
% 0.73/1.32 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.73/1.32 tc_Nat_Onat, Z, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) =
% 0.73/1.32 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) }.
% 0.73/1.32 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.73/1.32 ( tc_Nat_Onat, Z, Y ), X ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.73/1.32 Z, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.73/1.32 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.73/1.32 tc_Nat_Onat, Y, X ), Y ) = X }.
% 0.73/1.32 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.73/1.32 tc_Nat_Onat, Y, X ), X ) = Y }.
% 0.73/1.32 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, X ) }.
% 0.73/1.32 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.73/1.32 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ), Y ) }.
% 0.73/1.32 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Y ) }.
% 0.73/1.32 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.73/1.32 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, X ),
% 0.73/1.32 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.73/1.32 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, Z ),
% 0.73/1.32 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Z ) ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.73/1.32 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X,
% 0.73/1.32 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) = Y }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Z ),
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Y ), Y = X }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.73/1.32 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) =
% 0.73/1.32 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ), X = Z }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), ! X = Z,
% 0.73/1.32 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) =
% 0.73/1.32 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ),
% 0.73/1.32 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.73/1.32 ( tc_Nat_Onat, X, Y ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.73/1.32 ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Z ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.73/1.32 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ),
% 0.73/1.32 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) ),
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Z ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Z ),
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.73/1.32 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ),
% 0.73/1.32 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) ) }.
% 0.73/1.32 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.73/1.32 c_Groups_Oplus__class_Oplus( X, Y, Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.73/1.32 , Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.73/1.32 { ! class_Groups_Olinordered__ab__group__add( X ), ! Y =
% 0.73/1.32 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.73/1.32 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.73/1.32 { X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.73/1.32 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.73/1.32 tc_Nat_Onat ), X ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! X =
% 0.73/1.32 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.73/1.32 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.73/1.32 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y ),
% 0.73/1.32 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.73/1.32 ( tc_Nat_Onat, Y, X ), Y ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 0.73/1.32 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.73/1.32 ( tc_Nat_Onat ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ),
% 0.73/1.32 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ),
% 0.73/1.32 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.73/1.32 tc_Nat_Onat ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) }.
% 0.73/1.32 { X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.73/1.32 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.73/1.32 tc_Nat_Onat ), X ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.73/1.32 ( tc_Nat_Onat ), X ), ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }
% 0.73/1.32 .
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 0.73/1.32 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.73/1.32 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) = Y, X =
% 0.73/1.32 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.73/1.32 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.73/1.32 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y =
% 0.73/1.32 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.73/1.32 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.73/1.32 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X =
% 0.73/1.32 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.73/1.32 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), ! X =
% 0.73/1.32 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus(
% 0.73/1.32 tc_Nat_Onat, Y, X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.73/1.32 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y,
% 0.73/1.32 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) =
% 0.73/1.32 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.73/1.32 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, c_Groups_Ozero__class_Ozero
% 0.73/1.32 ( tc_Nat_Onat ) ) = X }.
% 0.73/1.32 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.73/1.32 tc_Nat_Onat ), X ) = X }.
% 0.73/1.32 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.73/1.32 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X,
% 0.73/1.32 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X =
% 0.73/1.32 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.73/1.32 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X,
% 0.73/1.32 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.73/1.32 { ! c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) =
% 0.73/1.32 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.73/1.32 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) =
% 0.73/1.32 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.73/1.32 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) =
% 0.73/1.32 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.73/1.32 ( tc_Nat_Onat, Y, Z ), X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y
% 0.73/1.32 , X ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.73/1.32 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, T, X ) =
% 0.73/1.32 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 0.73/1.32 c_Orderings_Oord__class_Oless( tc_Nat_Onat, T, Z ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless( tc_Nat_Onat, T, Z ),
% 0.73/1.32 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.73/1.32 tc_Nat_Onat, Y, T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }
% 0.73/1.32 .
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.73/1.32 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.73/1.32 tc_Nat_Onat, Y, Z ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }
% 0.73/1.32 .
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.73/1.32 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 0.73/1.32 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.73/1.32 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 0.73/1.32 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.73/1.32 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.73/1.32 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.73/1.32 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) = Y }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.73/1.32 ( tc_Nat_Onat, Z, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) )
% 0.73/1.32 , c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.73/1.32 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.73/1.32 tc_Nat_Onat, Z, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }
% 0.73/1.32 .
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z,
% 0.73/1.32 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ),
% 0.73/1.32 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.73/1.32 tc_Nat_Onat, Z, X ), Y ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.73/1.32 ( tc_Nat_Onat, Z, X ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z
% 0.73/1.32 , c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.73/1.32 ( tc_Nat_Onat, Y, X ), X ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.73/1.32 ( tc_Nat_Onat, Y, X ), Y ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! Y = X }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), Y = X,
% 0.73/1.32 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.73/1.32 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), Y = X }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.73/1.32 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), Y = X,
% 0.73/1.32 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, Y ),
% 0.73/1.32 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.73/1.32 ( tc_Nat_Onat, Y, Z ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Z )
% 0.73/1.32 ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.73/1.32 ( tc_Nat_Onat, X, Y ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.73/1.32 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Z ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Z ),
% 0.73/1.32 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.73/1.32 ( tc_Nat_Onat, X, Y ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.73/1.32 ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.73/1.32 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.73/1.32 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.73/1.32 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) }.
% 0.73/1.32 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.73/1.32 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), X =
% 0.73/1.32 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, skol6( X, Y ) ) }.
% 0.73/1.32 { ! X = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.73/1.32 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z,
% 0.73/1.32 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) =
% 0.73/1.32 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.73/1.32 tc_Nat_Onat, Z, Y ), X ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.73/1.32 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ), X ),
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.73/1.32 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.73/1.32 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ),
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.73/1.32 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ), X ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.73/1.32 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ),
% 0.73/1.32 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ),
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.73/1.32 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ),
% 0.73/1.32 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.73/1.32 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.73/1.32 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.73/1.32 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.73/1.32 tc_Nat_Onat, X, Z ), Y ) ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.73/1.32 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 0.73/1.32 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.73/1.32 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y,
% 0.73/1.32 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) = X }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.73/1.32 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z,
% 0.73/1.32 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) =
% 0.73/1.32 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.73/1.32 tc_Nat_Onat, Z, X ), Y ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.73/1.32 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ),
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.73/1.32 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.73/1.32 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.73/1.32 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.73/1.32 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus(
% 0.73/1.32 tc_Nat_Onat, X, Y ), Y ) = X }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.73/1.32 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) = Z, X =
% 0.73/1.32 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), ! X =
% 0.73/1.32 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ),
% 0.73/1.32 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) = Z }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.73/1.32 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.73/1.32 tc_Nat_Onat, Z, X ), Y ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z,
% 0.73/1.32 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.73/1.32 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus(
% 0.73/1.32 tc_Nat_Onat, X, Y ), Z ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.73/1.32 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ), Y ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.73/1.32 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.73/1.32 tc_Nat_Onat, X, Z ), Y ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.73/1.32 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), Z ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, Z ),
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.73/1.32 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, T ),
% 0.73/1.32 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.73/1.32 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.73/1.32 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.32 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.73/1.32 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, v_s( hAPP( v_f____,
% 0.73/1.32 hAPP( v_ga____, v_n____ ) ) ), c_Complex_Ocomplex_OComplex( v_x____,
% 0.73/1.32 v_y____ ) ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.73/1.32 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.73/1.32 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, c_Complex_ORe( v_s( hAPP
% 0.73/1.32 ( v_f____, hAPP( v_ga____, v_n____ ) ) ) ), c_Complex_ORe(
% 0.73/1.32 c_Complex_Ocomplex_OComplex( v_x____, v_y____ ) ) ) ),
% 0.73/1.32 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.73/1.32 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, c_Complex_OIm( v_s( hAPP
% 0.73/1.32 ( v_f____, hAPP( v_ga____, v_n____ ) ) ) ), c_Complex_OIm(
% 0.73/1.32 c_Complex_Ocomplex_OComplex( v_x____, v_y____ ) ) ) ) ) ) }.
% 0.73/1.32 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), X =
% 0.73/1.32 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, skol7( X, Y ) ) }.
% 0.73/1.32 { ! X = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 0.73/1.32 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.73/1.33 { ! class_Orderings_Oorder( X ), ! c_SEQ_Odecseq( X, Y ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, T ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, hAPP( Y, T ), hAPP( Y, Z ) ) }.
% 0.73/1.33 { ! class_Orderings_Oorder( X ), c_Orderings_Oord__class_Oless__eq(
% 0.73/1.33 tc_Nat_Onat, skol8( X, Y ), skol24( X, Y ) ), c_SEQ_Odecseq( X, Y ) }.
% 0.73/1.33 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.73/1.33 hAPP( Y, skol24( X, Y ) ), hAPP( Y, skol8( X, Y ) ) ), c_SEQ_Odecseq( X,
% 0.73/1.33 Y ) }.
% 0.73/1.33 { ! class_Groups_Oab__group__add( X ), c_Groups_Ominus__class_Ominus( X,
% 0.73/1.33 c_Groups_Oplus__class_Oplus( X, U, T ), c_Groups_Oplus__class_Oplus( X, Z
% 0.73/1.33 , Y ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Ominus__class_Ominus(
% 0.73/1.33 X, U, Z ), c_Groups_Ominus__class_Ominus( X, T, Y ) ) }.
% 0.73/1.33 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ), Y ) = Y }.
% 0.73/1.33 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, Y
% 0.73/1.33 , c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.73/1.33 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.73/1.33 ( X ), ! Z = c_Groups_Oplus__class_Oplus( X, Z, Y ), Y =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ) }.
% 0.73/1.33 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.73/1.33 ( X ), ! Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.73/1.33 c_Groups_Oplus__class_Oplus( X, Z, Y ) }.
% 0.73/1.33 { ! class_RealVector_Oreal__normed__vector( X ), ! c_SEQ_OBseq( X, Y ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol9( Z, T ) ) }.
% 0.73/1.33 { ! class_RealVector_Oreal__normed__vector( X ), ! c_SEQ_OBseq( X, Y ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, Z ) ), skol9( X, Y ) ) }.
% 0.73/1.33 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Z ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, skol25( X, Y, Z ) ) ), Z ),
% 0.73/1.33 c_SEQ_OBseq( X, Y ) }.
% 0.73/1.33 { c_Complex_Ocomplex_OComplex( c_Complex_ORe( X ), c_Complex_OIm( X ) ) = X
% 0.73/1.33 }.
% 0.73/1.33 { c_RealVector_Onorm__class_Onorm( tc_RealDef_Oreal, X ) =
% 0.73/1.33 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) }.
% 0.73/1.33 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.73/1.33 c_Groups_Oabs__class_Oabs( X, c_Groups_Oabs__class_Oabs( X, Y ) ) =
% 0.73/1.33 c_Groups_Oabs__class_Oabs( X, Y ) }.
% 0.73/1.33 { ! Y = X, c_Complex_ORe( Y ) = c_Complex_ORe( X ) }.
% 0.73/1.33 { ! Y = X, c_Complex_OIm( Y ) = c_Complex_OIm( X ) }.
% 0.73/1.33 { ! c_Complex_ORe( Y ) = c_Complex_ORe( X ), ! c_Complex_OIm( Y ) =
% 0.73/1.33 c_Complex_OIm( X ), Y = X }.
% 0.73/1.33 { ! c_Complex_ORe( Y ) = c_Complex_ORe( X ), ! c_Complex_OIm( Y ) =
% 0.73/1.33 c_Complex_OIm( X ), Y = X }.
% 0.73/1.33 { c_Groups_Oplus__class_Oplus( tc_Complex_Ocomplex, Y, X ) =
% 0.73/1.33 c_Complex_Ocomplex_OComplex( c_Groups_Oplus__class_Oplus(
% 0.73/1.33 tc_RealDef_Oreal, c_Complex_ORe( Y ), c_Complex_ORe( X ) ),
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Complex_OIm( Y ),
% 0.73/1.33 c_Complex_OIm( X ) ) ) }.
% 0.73/1.33 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, c_Complex_OIm( X ) ),
% 0.73/1.33 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ) ) }.
% 0.73/1.33 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, c_Complex_ORe( X ) ),
% 0.73/1.33 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ) ) }.
% 0.73/1.33 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.73/1.33 c_Groups_Oabs__class_Oabs( X, Y ) = c_Groups_Ozero__class_Ozero( X ), Y =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ) }.
% 0.73/1.33 { ! class_Groups_Oordered__ab__group__add__abs( X ), ! Y =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oabs__class_Oabs( X, Y ) =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ) }.
% 0.73/1.33 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.73/1.33 c_Groups_Oabs__class_Oabs( X, c_Groups_Ozero__class_Ozero( X ) ) =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ) }.
% 0.73/1.33 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 0.73/1.33 Y ), c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.73/1.33 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Oabs__class_Oabs( X, Y
% 0.73/1.33 ) ) }.
% 0.73/1.33 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.73/1.33 c_Groups_Oabs__class_Oabs( X, c_Groups_Oplus__class_Oplus( X,
% 0.73/1.33 c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) ) )
% 0.73/1.33 = c_Groups_Oplus__class_Oplus( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 0.73/1.33 c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.73/1.33 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.73/1.33 c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, Z, Y ) )
% 0.73/1.33 = c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, Y, Z )
% 0.73/1.33 ) }.
% 0.73/1.33 { c_Complex_OIm( c_Groups_Oplus__class_Oplus( tc_Complex_Ocomplex, Y, X ) )
% 0.73/1.33 = c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Complex_OIm( Y ),
% 0.73/1.33 c_Complex_OIm( X ) ) }.
% 0.73/1.33 { c_Complex_ORe( c_Groups_Oplus__class_Oplus( tc_Complex_Ocomplex, Y, X ) )
% 0.73/1.33 = c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Complex_ORe( Y ),
% 0.73/1.33 c_Complex_ORe( X ) ) }.
% 0.73/1.33 { ! class_RealVector_Oreal__normed__vector( X ), c_Groups_Oabs__class_Oabs
% 0.73/1.33 ( tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm( X, Y ) ) =
% 0.73/1.33 c_RealVector_Onorm__class_Onorm( X, Y ) }.
% 0.73/1.33 { c_Complex_OIm( c_Complex_Ocomplex_OComplex( Y, X ) ) = X }.
% 0.73/1.33 { c_Complex_ORe( c_Complex_Ocomplex_OComplex( Y, X ) ) = Y }.
% 0.73/1.33 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.73/1.33 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, Y, X ) ),
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs
% 0.73/1.33 ( tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.73/1.33 c_Complex_ORe( Y ), c_Complex_ORe( X ) ) ), c_Groups_Oabs__class_Oabs(
% 0.73/1.33 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.73/1.33 c_Complex_OIm( Y ), c_Complex_OIm( X ) ) ) ) ) }.
% 0.73/1.33 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.73/1.33 ), c_Groups_Oabs__class_Oabs( X, Y ) = Y }.
% 0.73/1.33 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X, Y ),
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ) ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.73/1.33 }.
% 0.73/1.33 { ! class_Groups_Oordered__ab__group__add__abs( X ), ! Y =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless__eq( X,
% 0.73/1.33 c_Groups_Oabs__class_Oabs( X, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.73/1.33 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.73/1.33 c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.73/1.33 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.73/1.33 c_Groups_Oabs__class_Oabs( X, Y ) = Y }.
% 0.73/1.33 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.73/1.33 c_Groups_Oabs__class_Oabs( X, Y ) ), ! Y = c_Groups_Ozero__class_Ozero( X
% 0.73/1.33 ) }.
% 0.73/1.33 { ! class_Groups_Oordered__ab__group__add__abs( X ), Y =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless( X,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.73/1.33 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless( X, c_Groups_Oabs__class_Oabs( X, Y ),
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.73/1.33 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X,
% 0.73/1.33 c_Groups_Oplus__class_Oplus( X, Z, Y ) ), c_Groups_Oplus__class_Oplus( X
% 0.73/1.33 , c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) )
% 0.73/1.33 ) }.
% 0.73/1.33 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ominus__class_Ominus( X,
% 0.73/1.33 c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) ),
% 0.73/1.33 c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, Y, Z ) )
% 0.73/1.33 ) }.
% 0.73/1.33 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ominus__class_Ominus( X,
% 0.73/1.33 c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) ),
% 0.73/1.33 c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, Z, Y ) )
% 0.73/1.33 ) }.
% 0.73/1.33 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X,
% 0.73/1.33 c_Groups_Ominus__class_Ominus( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 0.73/1.33 c_Groups_Oabs__class_Oabs( X, Y ) ) ), c_Groups_Oabs__class_Oabs( X,
% 0.73/1.33 c_Groups_Ominus__class_Ominus( X, Z, Y ) ) ) }.
% 0.73/1.33 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_Complex_ORe( X ),
% 0.73/1.33 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ) ) }.
% 0.73/1.33 { c_Complex_OIm( c_Groups_Ozero__class_Ozero( tc_Complex_Ocomplex ) ) =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.73/1.33 { c_Complex_ORe( c_Groups_Ozero__class_Ozero( tc_Complex_Ocomplex ) ) =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.73/1.33 { c_Complex_OIm( c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, Y, X )
% 0.73/1.33 ) = c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, c_Complex_OIm( Y )
% 0.73/1.33 , c_Complex_OIm( X ) ) }.
% 0.73/1.33 { c_Complex_ORe( c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, Y, X )
% 0.73/1.33 ) = c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, c_Complex_ORe( Y )
% 0.73/1.33 , c_Complex_ORe( X ) ) }.
% 0.73/1.33 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X,
% 0.73/1.33 c_Groups_Ominus__class_Ominus( X, c_Groups_Oplus__class_Oplus( X, U, T )
% 0.73/1.33 , c_Groups_Oplus__class_Oplus( X, Z, Y ) ) ), c_Groups_Oplus__class_Oplus
% 0.73/1.33 ( X, c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, U, Z
% 0.73/1.33 ) ), c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, T,
% 0.73/1.33 Y ) ) ) ) }.
% 0.73/1.33 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X,
% 0.73/1.33 c_Groups_Ominus__class_Ominus( X, Z, Y ) ), c_Groups_Oplus__class_Oplus(
% 0.73/1.33 X, c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) )
% 0.73/1.33 ) }.
% 0.73/1.33 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.73/1.33 c_Groups_Oplus__class_Oplus( X, U, T ), c_Groups_Oplus__class_Oplus( X, Z
% 0.73/1.33 , Y ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Oplus__class_Oplus( X
% 0.73/1.33 , U, Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.73/1.33 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.73/1.33 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.73/1.33 ( X, c_Groups_Oplus__class_Oplus( X, T, Y ), Z ) }.
% 0.73/1.33 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.73/1.33 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.73/1.33 ( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y ) ) }.
% 0.73/1.33 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, T
% 0.73/1.33 , c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus
% 0.73/1.33 ( X, c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) }.
% 0.73/1.33 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, T
% 0.73/1.33 , c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus
% 0.73/1.33 ( X, Z, c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.73/1.33 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, Z
% 0.73/1.33 , Y ) = c_Groups_Oplus__class_Oplus( X, Y, Z ) }.
% 0.73/1.33 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.73/1.33 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.73/1.33 ( X, Y ) ) ), c_RealVector_Onorm__class_Onorm( X,
% 0.73/1.33 c_Groups_Ominus__class_Ominus( X, Z, Y ) ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, skol10( X ), Y ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, c_Complex_OIm( v_s( hAPP
% 0.73/1.33 ( v_f____, hAPP( v_ga____, Y ) ) ) ), v_y____ ) ), X ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, skol11( X ), Y ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, c_Complex_ORe( v_s( hAPP
% 0.73/1.33 ( v_f____, Y ) ) ), v_x____ ) ), X ) }.
% 0.73/1.33 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, c_Complex_OIm( v_s( X ) ) )
% 0.73/1.33 , c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, v_r,
% 0.73/1.33 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) ) }.
% 0.73/1.33 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.73/1.33 , c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, T, Z )
% 0.73/1.33 ), Y ), c_Orderings_Oord__class_Oless( X, c_Groups_Ominus__class_Ominus
% 0.73/1.33 ( X, Z, Y ), T ) }.
% 0.73/1.33 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.73/1.33 , c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, T, Z )
% 0.73/1.33 ), Y ), c_Orderings_Oord__class_Oless( X, T, c_Groups_Oplus__class_Oplus
% 0.73/1.33 ( X, Z, Y ) ) }.
% 0.73/1.33 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.73/1.33 , c_Groups_Ominus__class_Ominus( X, Z, Y ), T ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.73/1.33 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Oabs__class_Oabs( X,
% 0.73/1.33 c_Groups_Ominus__class_Ominus( X, T, Z ) ), Y ) }.
% 0.73/1.33 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_RealVector_Onorm__class_Onorm( X, hAPP( Z, skol12( X, Y, Z ) ) ), Y ),
% 0.73/1.33 c_SEQ_OBseq( X, Z ) }.
% 0.73/1.33 { ! class_RealVector_Oreal__normed__vector( X ), ! c_SEQ_OBseq( X, Y ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol13( Z, T ) ) }.
% 0.73/1.33 { ! class_RealVector_Oreal__normed__vector( X ), ! c_SEQ_OBseq( X, Y ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, Z ) ), skol13( X, Y ) ) }.
% 0.73/1.33 { ! class_Groups_Oone( X ), ! c_Groups_Oone__class_Oone( X ) = Y, Y =
% 0.73/1.33 c_Groups_Oone__class_Oone( X ) }.
% 0.73/1.33 { ! class_Groups_Oone( X ), ! Y = c_Groups_Oone__class_Oone( X ),
% 0.73/1.33 c_Groups_Oone__class_Oone( X ) = Y }.
% 0.73/1.33 { ! class_RealVector_Oreal__normed__algebra__1( X ),
% 0.73/1.33 c_RealVector_Onorm__class_Onorm( X, c_Groups_Oone__class_Oone( X ) ) =
% 0.73/1.33 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.73/1.33 { ! class_Rings_Ozero__neq__one( X ), ! c_Groups_Oone__class_Oone( X ) =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ) }.
% 0.73/1.33 { ! class_Rings_Ozero__neq__one( X ), ! c_Groups_Ozero__class_Ozero( X ) =
% 0.73/1.33 c_Groups_Oone__class_Oone( X ) }.
% 0.73/1.33 { ! class_Rings_Olinordered__idom( X ), c_Groups_Oabs__class_Oabs( X,
% 0.73/1.33 c_Groups_Oone__class_Oone( X ) ) = c_Groups_Oone__class_Oone( X ) }.
% 0.73/1.33 { ! c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) =
% 0.73/1.33 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.73/1.33 { ! class_Rings_Olinordered__semidom( X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ),
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.73/1.33 { ! class_Rings_Olinordered__semidom( X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.73/1.33 c_Groups_Oone__class_Oone( X ) ) }.
% 0.73/1.33 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.73/1.33 ( X, c_Groups_Oone__class_Oone( X ), c_Groups_Ozero__class_Ozero( X ) ) }
% 0.73/1.33 .
% 0.73/1.33 { ! class_Rings_Olinordered__semidom( X ), c_Orderings_Oord__class_Oless( X
% 0.73/1.33 , c_Groups_Ozero__class_Ozero( X ), c_Groups_Oone__class_Oone( X ) ) }.
% 0.73/1.33 { ! class_Rings_Olinordered__semidom( X ), c_Orderings_Oord__class_Oless( X
% 0.73/1.33 , Y, c_Groups_Oplus__class_Oplus( X, Y, c_Groups_Oone__class_Oone( X ) )
% 0.73/1.33 ) }.
% 0.73/1.33 { ! class_Rings_Olinordered__semidom( X ), c_Orderings_Oord__class_Oless( X
% 0.73/1.33 , c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.73/1.33 c_Groups_Oone__class_Oone( X ), c_Groups_Oone__class_Oone( X ) ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs
% 0.73/1.33 ( tc_RealDef_Oreal, X ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) )
% 0.73/1.33 , X ) }.
% 0.73/1.33 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oone__class_Oone
% 0.73/1.33 ( tc_RealDef_Oreal ), c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) )
% 0.73/1.33 ) }.
% 0.73/1.33 { ! class_RealVector_Oreal__normed__vector( Y ), ! class_Orderings_Oord( X
% 0.73/1.33 ), c_Orderings_Oord__class_Oless__eq( X, T, skol14( X, U, W, T ) ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, T, V0 ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.33 c_RealVector_Onorm__class_Onorm( Y, hAPP( Z, V0 ) ),
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oone__class_Oone
% 0.73/1.33 ( tc_RealDef_Oreal ), c_RealVector_Onorm__class_Onorm( Y, hAPP( Z, T ) )
% 0.73/1.33 ) ) }.
% 0.73/1.33 { ! class_RealVector_Oreal__normed__vector( Y ), ! class_Orderings_Oord( X
% 0.73/1.33 ), ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.33 c_RealVector_Onorm__class_Onorm( Y, c_Groups_Ominus__class_Ominus( Y,
% 0.73/1.33 hAPP( Z, T ), hAPP( Z, skol14( X, Y, Z, T ) ) ) ),
% 0.73/1.33 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, T, U ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.33 c_RealVector_Onorm__class_Onorm( Y, hAPP( Z, U ) ),
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oone__class_Oone
% 0.73/1.33 ( tc_RealDef_Oreal ), c_RealVector_Onorm__class_Onorm( Y, hAPP( Z, T ) )
% 0.73/1.33 ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, Z ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol15( T, U, W ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, Z ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X, T ) ), skol15( X, Y,
% 0.73/1.33 Z ) ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, T ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, Z ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X, T ) ), skol15( X, Y,
% 0.73/1.33 Z ) ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, T, Z ) }.
% 0.73/1.33 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs
% 0.73/1.33 ( tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.73/1.33 c_Complex_ORe( v_s( hAPP( v_f____, hAPP( v_ga____, v_n____ ) ) ) ),
% 0.73/1.33 v_x____ ) ), c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, c_Complex_OIm( v_s( hAPP
% 0.73/1.33 ( v_f____, hAPP( v_ga____, v_n____ ) ) ) ), v_y____ ) ) ),
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.73/1.33 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, v_e____,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.73/1.33 c_Int_OBit1( c_Int_OPls ) ) ) ), c_Rings_Oinverse__class_Odivide(
% 0.73/1.33 tc_RealDef_Oreal, v_e____, c_Int_Onumber__class_Onumber__of(
% 0.73/1.33 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) ) }.
% 0.73/1.33 { ! class_Orderings_Oorder( X ), ! c_SEQ_Oincseq( X, Y ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, T ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, hAPP( Y, Z ), hAPP( Y, T ) ) }.
% 0.73/1.33 { ! class_Orderings_Oorder( X ), c_Orderings_Oord__class_Oless__eq(
% 0.73/1.33 tc_Nat_Onat, skol16( X, Y ), skol26( X, Y ) ), c_SEQ_Oincseq( X, Y ) }.
% 0.73/1.33 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.73/1.33 hAPP( Y, skol16( X, Y ) ), hAPP( Y, skol26( X, Y ) ) ), c_SEQ_Oincseq( X
% 0.73/1.33 , Y ) }.
% 0.73/1.33 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, skol17( U, W, V0, T )
% 0.73/1.33 ), c_SEQ_OBseq( X, Y ) }.
% 0.73/1.33 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, skol17( X, Y, Z, T ) ) ), Z
% 0.73/1.33 ), c_SEQ_OBseq( X, Y ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, Z ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol18( T, U, W ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, Z ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X, T ) ), skol18( X, Y,
% 0.73/1.33 Z ) ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, T ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, Z ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X, T ) ), skol18( X, Y,
% 0.73/1.33 Z ) ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, T, Z ) }.
% 0.73/1.33 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.73/1.33 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, v_e____,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.73/1.33 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, v_N1____, X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, c_Complex_ORe( v_s( hAPP
% 0.73/1.33 ( v_f____, X ) ) ), v_x____ ) ), c_Rings_Oinverse__class_Odivide(
% 0.73/1.33 tc_RealDef_Oreal, v_e____, c_Int_Onumber__class_Onumber__of(
% 0.73/1.33 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, v_N2____, X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, c_Complex_OIm( v_s( hAPP
% 0.73/1.33 ( v_f____, hAPP( v_ga____, X ) ) ) ), v_y____ ) ),
% 0.73/1.33 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, v_e____,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.73/1.33 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.73/1.33 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.73/1.33 class_Int_Onumber__ring( X ), c_Orderings_Oord__class_Oless( X,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.73/1.33 c_Groups_Oone__class_Oone( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.73/1.33 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.73/1.33 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ),
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( X, Y ) ), c_Orderings_Oord__class_Oless
% 0.73/1.33 ( tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), Y ) }.
% 0.73/1.33 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), Y
% 0.73/1.33 ), c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ),
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.73/1.33 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.73/1.33 ), c_Groups_Oone__class_Oone( X ) ), c_Orderings_Oord__class_Oless(
% 0.73/1.33 tc_Int_Oint, Y, c_Int_OBit1( c_Int_OPls ) ) }.
% 0.73/1.33 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OBit1( c_Int_OPls )
% 0.73/1.33 ), c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X
% 0.73/1.33 , Y ), c_Groups_Oone__class_Oone( X ) ) }.
% 0.73/1.33 { c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.73/1.33 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.73/1.33 c_Int_OBit1( c_Int_OPls ) ) ) ), c_Rings_Oinverse__class_Odivide(
% 0.73/1.33 tc_RealDef_Oreal, X, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 0.73/1.33 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) = X }.
% 0.73/1.33 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Oone__class_Oone( X )
% 0.73/1.33 ) = c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.73/1.33 tc_Int_Oint, Y, c_Int_OBit1( c_Int_OPls ) ) ) }.
% 0.73/1.33 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.73/1.33 c_Groups_Oone__class_Oone( X ), c_Int_Onumber__class_Onumber__of( X, Y )
% 0.73/1.33 ) = c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.73/1.33 tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), Y ) ) }.
% 0.73/1.33 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.73/1.33 c_Groups_Oone__class_Oone( X ), c_Groups_Oone__class_Oone( X ) ) =
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.73/1.33 ) ) ) }.
% 0.73/1.33 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.73/1.33 c_Int_OBit1( Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.73/1.33 c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ),
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.73/1.33 { c_Int_OBit1( X ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Oone__class_Oone(
% 0.73/1.33 tc_Int_Oint ), X ), X ) }.
% 0.73/1.33 { ! class_Fields_Ofield__inverse__zero( X ), !
% 0.73/1.33 class_RealVector_Oreal__normed__field( X ),
% 0.73/1.33 c_RealVector_Onorm__class_Onorm( X, c_Rings_Oinverse__class_Odivide( X, Z
% 0.73/1.33 , Y ) ) = c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.73/1.33 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.73/1.33 ( X, Y ) ) }.
% 0.73/1.33 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.73/1.33 c_Int_OBit1( c_Int_OPls ) ) = c_Groups_Oone__class_Oone( X ) }.
% 0.73/1.33 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.73/1.33 , Y ), c_Groups_Oone__class_Oone( X ) ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ) }.
% 0.73/1.33 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Oone__class_Oone( X )
% 0.73/1.33 ) }.
% 0.73/1.33 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ),
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( c_Int_OPls )
% 0.73/1.33 , Y ) }.
% 0.73/1.33 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( c_Int_OPls )
% 0.73/1.33 , Y ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X
% 0.73/1.33 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.73/1.33 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.73/1.33 c_Int_OBit0( Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.73/1.33 c_Groups_Oplus__class_Oplus( X, c_Groups_Ozero__class_Ozero( X ),
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.73/1.33 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, Y ) }.
% 0.73/1.33 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, Y ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.73/1.33 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.73/1.33 , Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OPls ) }.
% 0.73/1.33 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OPls ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.73/1.33 , Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.73/1.33 { ! class_RealVector_Oreal__normed__field( X ), Y =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ), c_RealVector_Onorm__class_Onorm( X,
% 0.73/1.33 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 0.73/1.33 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.73/1.33 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.73/1.33 ( X, Y ) ) }.
% 0.73/1.33 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( X, Y ) ), c_Orderings_Oord__class_Oless
% 0.73/1.33 ( tc_Int_Oint, c_Int_OPls, Y ) }.
% 0.73/1.33 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, Y ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.73/1.33 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.73/1.33 ), c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless(
% 0.73/1.33 tc_Int_Oint, Y, c_Int_OPls ) }.
% 0.73/1.33 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.73/1.33 ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.73/1.33 { ! class_Int_Onumber__ring( X ), !
% 0.73/1.33 class_RealVector_Oreal__normed__algebra__1( X ),
% 0.73/1.33 c_RealVector_Onorm__class_Onorm( X, c_Int_Onumber__class_Onumber__of( X,
% 0.73/1.33 Y ) ) = c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, Y ) ) }.
% 0.73/1.33 { c_Int_OPls = c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.73/1.33 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.73/1.33 c_Int_OPls ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.73/1.33 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, c_Int_OPls )
% 0.73/1.33 }.
% 0.73/1.33 { c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Int_OPls, c_Int_OBit0( X )
% 0.73/1.33 ) = c_Int_OBit0( c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Int_OPls
% 0.73/1.33 , X ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, c_Int_OBit0
% 0.73/1.33 ( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X )
% 0.73/1.33 }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, c_Int_OBit0(
% 0.73/1.33 X ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, c_Int_OBit1
% 0.73/1.33 ( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X )
% 0.73/1.33 }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, c_Int_OBit1(
% 0.73/1.33 X ) ) }.
% 0.73/1.33 { c_Groups_Ominus__class_Ominus( tc_Int_Oint, X, c_Int_OPls ) = X }.
% 0.73/1.33 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber__ring( X )
% 0.73/1.33 , c_Rings_Oinverse__class_Odivide( X, Y, c_Int_Onumber__class_Onumber__of
% 0.73/1.33 ( X, c_Int_OPls ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( X ),
% 0.73/1.33 c_Int_OPls ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X,
% 0.73/1.33 c_Int_OPls ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( X ),
% 0.73/1.33 c_Int_OPls ) }.
% 0.73/1.33 { c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit0
% 0.73/1.33 ( X ) ) = c_Int_OBit0( c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X )
% 0.73/1.33 ) }.
% 0.73/1.33 { c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit0
% 0.73/1.33 ( X ) ) = c_Int_OBit1( c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X )
% 0.73/1.33 ) }.
% 0.73/1.33 { c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit1
% 0.73/1.33 ( X ) ) = c_Int_OBit0( c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X )
% 0.73/1.33 ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.73/1.33 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.73/1.33 ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.73/1.33 c_Int_OBit0( X ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.73/1.33 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.73/1.33 ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.73/1.33 c_Int_OBit1( X ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.73/1.33 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.73/1.33 ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.73/1.33 c_Int_OBit0( X ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.73/1.33 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.73/1.33 ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.73/1.33 c_Int_OBit1( X ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.73/1.33 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.73/1.33 ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.73/1.33 c_Int_OBit1( X ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.73/1.33 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.73/1.33 ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.73/1.33 c_Int_OBit1( X ) ) }.
% 0.73/1.33 { c_Int_OBit0( c_Int_OPls ) = c_Int_OPls }.
% 0.73/1.33 { ! c_Int_OPls = c_Int_OBit1( X ) }.
% 0.73/1.33 { ! c_Int_OPls = c_Int_OBit0( X ), c_Int_OPls = X }.
% 0.73/1.33 { ! c_Int_OPls = X, c_Int_OPls = c_Int_OBit0( X ) }.
% 0.73/1.33 { ! class_Fields_Ofield( X ), ! class_Int_Onumber__ring( X ),
% 0.73/1.33 c_Rings_Oinverse__class_Odivide( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.73/1.33 X, c_Int_OBit1( c_Int_OPls ) ) ) = Y }.
% 0.73/1.33 { ! class_Fields_Ofield( X ), ! class_Int_Onumber__ring( X ),
% 0.73/1.33 c_Rings_Oinverse__class_Odivide( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.73/1.33 X, c_Int_OBit1( c_Int_OPls ) ) ) = Y }.
% 0.73/1.33 { ! c_Int_OBit1( X ) = c_Int_OPls }.
% 0.73/1.33 { ! c_Int_OBit0( X ) = c_Int_OPls, X = c_Int_OPls }.
% 0.73/1.33 { ! X = c_Int_OPls, c_Int_OBit0( X ) = c_Int_OPls }.
% 0.73/1.33 { ! class_Int_Onumber( X ), ! c_Int_Onumber__class_Onumber__of( X, Z ) = Y
% 0.73/1.33 , Y = c_Int_Onumber__class_Onumber__of( X, Z ) }.
% 0.73/1.33 { ! class_Int_Onumber( X ), ! Y = c_Int_Onumber__class_Onumber__of( X, Z )
% 0.73/1.33 , c_Int_Onumber__class_Onumber__of( X, Z ) = Y }.
% 0.73/1.33 { ! c_Int_OBit0( Y ) = c_Int_OBit1( X ) }.
% 0.73/1.33 { ! c_Int_OBit1( Y ) = c_Int_OBit0( X ) }.
% 0.73/1.33 { ! c_Int_OBit0( Y ) = c_Int_OBit0( X ), Y = X }.
% 0.73/1.33 { ! Y = X, c_Int_OBit0( Y ) = c_Int_OBit0( X ) }.
% 0.73/1.33 { ! c_Int_OBit1( Y ) = c_Int_OBit1( X ), Y = X }.
% 0.73/1.33 { ! Y = X, c_Int_OBit1( Y ) = c_Int_OBit1( X ) }.
% 0.73/1.33 { ! class_Int_Onumber__ring( X ), ! class_Int_Oring__char__0( X ), !
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( X, Z ) =
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( X, Y ), Z = Y }.
% 0.73/1.33 { ! class_Int_Onumber__ring( X ), ! class_Int_Oring__char__0( X ), ! Z = Y
% 0.73/1.33 , c_Int_Onumber__class_Onumber__of( X, Z ) =
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( X, Y ) }.
% 0.73/1.33 { c_Int_OBit0( X ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, X ) }.
% 0.73/1.33 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OPls, X ) = X }.
% 0.73/1.33 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Int_OPls ) = X }.
% 0.73/1.33 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X, Y,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( X, c_Int_OPls ) ) = Y }.
% 0.73/1.33 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( X, c_Int_OPls ), Y ) = Y }.
% 0.73/1.33 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit0(
% 0.73/1.33 X ) ) = c_Int_OBit0( c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }
% 0.73/1.33 .
% 0.73/1.33 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit1(
% 0.73/1.33 X ) ) = c_Int_OBit1( c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }
% 0.73/1.33 .
% 0.73/1.33 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit0(
% 0.73/1.33 X ) ) = c_Int_OBit1( c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }
% 0.73/1.33 .
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.33 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.73/1.33 c_Int_OBit1( c_Int_OPls ) ) ) ), X ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y,
% 0.73/1.33 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.73/1.33 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.73/1.33 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.73/1.33 class_Int_Onumber__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless( X,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.73/1.33 ) ) ) ) ) }.
% 0.73/1.33 { c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.73/1.33 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.73/1.33 c_Int_OBit1( c_Int_OPls ) ) ) ), X ) = c_Rings_Oinverse__class_Odivide(
% 0.73/1.33 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, X )
% 0.73/1.33 , c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.73/1.33 c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.73/1.33 { c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.73/1.33 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.73/1.33 c_Int_OBit1( c_Int_OPls ) ) ) ), Y ) = c_Rings_Oinverse__class_Odivide(
% 0.73/1.33 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X, Y )
% 0.73/1.33 , c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.73/1.33 c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.73/1.33 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.73/1.33 .
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.73/1.33 c_Int_OBit0( X ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.73/1.33 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.73/1.33 .
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.73/1.33 c_Int_OBit0( X ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.73/1.33 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.73/1.33 .
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit1
% 0.73/1.33 ( X ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.73/1.33 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.73/1.33 .
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit0
% 0.73/1.33 ( X ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.73/1.33 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.73/1.33 .
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit1
% 0.73/1.33 ( X ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.73/1.33 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.73/1.33 .
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit0
% 0.73/1.33 ( X ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.73/1.33 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.73/1.33 ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit1
% 0.73/1.33 ( X ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.73/1.33 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.73/1.33 .
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit0
% 0.73/1.33 ( X ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.73/1.33 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.73/1.33 ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit1
% 0.73/1.33 ( X ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.73/1.33 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.73/1.33 .
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit0
% 0.73/1.33 ( X ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( X ),
% 0.73/1.33 c_Int_OPls ), c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls )
% 0.73/1.33 }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( X ),
% 0.73/1.33 c_Int_OPls ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( X ),
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( X ),
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( X ),
% 0.73/1.33 c_Int_OPls ), c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls )
% 0.73/1.33 }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( X ), c_Int_OPls
% 0.73/1.33 ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( X ),
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( X ),
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( X ),
% 0.73/1.33 c_Int_OPls ), c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls )
% 0.73/1.33 }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( X ), c_Int_OPls
% 0.73/1.33 ) }.
% 0.73/1.33 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.73/1.33 class_Int_Onumber__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.73/1.33 ) ) ) ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero
% 0.73/1.33 ( X ), Y ) }.
% 0.73/1.33 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.73/1.33 class_Int_Onumber__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless( X,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.73/1.33 ) ) ) ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, c_Int_OBit1( X
% 0.73/1.33 ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, c_Int_OBit1( X )
% 0.73/1.33 ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, c_Int_OBit0( X
% 0.73/1.33 ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, c_Int_OBit0( X )
% 0.73/1.33 ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, c_Int_OPls ) }
% 0.73/1.33 .
% 0.73/1.33 { ! class_RealVector_Oreal__normed__field( X ),
% 0.73/1.33 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.73/1.33 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.73/1.33 { ! class_Rings_Odivision__ring__inverse__zero( X ),
% 0.73/1.33 c_Rings_Oinverse__class_Odivide( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 0.73/1.33 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.73/1.33 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.73/1.33 }.
% 0.73/1.33 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.73/1.33 , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Z, Y ) }.
% 0.73/1.33 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Z, Y ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.73/1.33 , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.73/1.33 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.73/1.33 ), c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, Y ) }.
% 0.73/1.33 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, Y ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.73/1.33 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.73/1.33 { ! class_RealVector_Oreal__normed__field( X ),
% 0.73/1.33 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, T, Z
% 0.73/1.33 ), Y ) = c_Groups_Oplus__class_Oplus( X, c_Rings_Oinverse__class_Odivide
% 0.73/1.33 ( X, T, Y ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.73/1.33 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.73/1.33 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.73/1.33 ( X, c_Rings_Oinverse__class_Odivide( X, T, Y ),
% 0.73/1.33 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.73/1.33 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( X, T ), c_Groups_Oplus__class_Oplus( X
% 0.73/1.33 , c_Int_Onumber__class_Onumber__of( X, Z ), Y ) ) =
% 0.73/1.33 c_Groups_Oplus__class_Oplus( X, c_Int_Onumber__class_Onumber__of( X,
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_Int_Oint, T, Z ) ), Y ) }.
% 0.73/1.33 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( X, Z ),
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.73/1.33 tc_Int_Oint, Z, Y ) ) }.
% 0.73/1.33 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, Y ) ) =
% 0.73/1.33 c_Groups_Oplus__class_Oplus( X, c_Int_Onumber__class_Onumber__of( X, Z )
% 0.73/1.33 , c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.73/1.33 { ! class_RealVector_Oreal__normed__field( X ),
% 0.73/1.33 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X, T,
% 0.73/1.33 Z ), Y ) = c_Groups_Ominus__class_Ominus( X,
% 0.73/1.33 c_Rings_Oinverse__class_Odivide( X, T, Y ),
% 0.73/1.33 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.73/1.33 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.73/1.33 c_Groups_Ominus__class_Ominus( X, T, Z ), Y ) =
% 0.73/1.33 c_Groups_Ominus__class_Ominus( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.73/1.33 Y ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.73/1.33 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X, Y
% 0.73/1.33 , c_Groups_Oone__class_Oone( X ) ) = Y }.
% 0.73/1.33 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.73/1.33 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Z, Y ) ) =
% 0.73/1.33 c_Groups_Ominus__class_Ominus( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.73/1.33 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.73/1.33 { ! class_Int_Onumber( X ), ! class_Orderings_Olinorder( X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.73/1.33 , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.73/1.33 ), c_Int_Onumber__class_Onumber__of( X, Z ) ) }.
% 0.73/1.33 { ! class_Int_Onumber( X ), ! class_Orderings_Olinorder( X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.73/1.33 ), c_Int_Onumber__class_Onumber__of( X, Z ) ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.73/1.33 , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.73/1.33 { ! class_Rings_Odivision__ring__inverse__zero( X ), ! Y =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 0.73/1.33 Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.73/1.33 { ! class_Rings_Odivision__ring__inverse__zero( X ), Y =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 0.73/1.33 Y ) = c_Groups_Oone__class_Oone( X ) }.
% 0.73/1.33 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.73/1.33 , c_Rings_Oinverse__class_Odivide( X, Y, Y ) = c_Groups_Oone__class_Oone
% 0.73/1.33 ( X ) }.
% 0.73/1.33 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.73/1.33 , ! c_Rings_Oinverse__class_Odivide( X, Z, Y ) =
% 0.73/1.33 c_Groups_Oone__class_Oone( X ), Z = Y }.
% 0.73/1.33 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.73/1.33 , ! Z = Y, c_Rings_Oinverse__class_Odivide( X, Z, Y ) =
% 0.73/1.33 c_Groups_Oone__class_Oone( X ) }.
% 0.73/1.33 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( X, T ), c_Groups_Ominus__class_Ominus(
% 0.73/1.33 X, c_Int_Onumber__class_Onumber__of( X, Z ), Y ) ) =
% 0.73/1.33 c_Groups_Ominus__class_Ominus( X, c_Int_Onumber__class_Onumber__of( X,
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_Int_Oint, T, Z ) ), Y ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.73/1.33 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) ), alpha3( X, Y
% 0.73/1.33 ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.73/1.33 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) ), alpha25( X,
% 0.73/1.33 Y ) }.
% 0.73/1.33 { ! alpha3( X, Y ), ! alpha25( X, Y ), c_Orderings_Oord__class_Oless__eq(
% 0.73/1.33 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.73/1.33 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) ) }.
% 0.73/1.33 { ! alpha25( X, Y ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), alpha25( X, Y ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), alpha25( X, Y ) }.
% 0.73/1.33 { ! alpha3( X, Y ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y
% 0.73/1.33 , c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), alpha3( X, Y ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), alpha3( X, Y ) }.
% 0.73/1.33 { c_Complex_OIm( c_Groups_Oone__class_Oone( tc_Complex_Ocomplex ) ) =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.73/1.33 { c_Complex_ORe( c_Groups_Oone__class_Oone( tc_Complex_Ocomplex ) ) =
% 0.73/1.33 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.73/1.33 { ! c_Complex_Ocomplex_OComplex( Y, X ) = c_Groups_Oone__class_Oone(
% 0.73/1.33 tc_Complex_Ocomplex ), Y = c_Groups_Oone__class_Oone( tc_RealDef_Oreal )
% 0.73/1.33 }.
% 0.73/1.33 { ! c_Complex_Ocomplex_OComplex( Y, X ) = c_Groups_Oone__class_Oone(
% 0.73/1.33 tc_Complex_Ocomplex ), X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal
% 0.73/1.33 ) }.
% 0.73/1.33 { ! Y = c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), ! X =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.73/1.33 c_Complex_Ocomplex_OComplex( Y, X ) = c_Groups_Oone__class_Oone(
% 0.73/1.33 tc_Complex_Ocomplex ) }.
% 0.73/1.33 { c_Groups_Oone__class_Oone( tc_Complex_Ocomplex ) =
% 0.73/1.33 c_Complex_Ocomplex_OComplex( c_Groups_Oone__class_Oone( tc_RealDef_Oreal
% 0.73/1.33 ), c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, skol19, X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, c_Complex_OIm( v_s( hAPP
% 0.73/1.33 ( v_f____, hAPP( v_ga____, X ) ) ) ), v_y____ ) ),
% 0.73/1.33 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, v_e____,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.73/1.33 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, skol20, X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, c_Complex_ORe( v_s( hAPP
% 0.73/1.33 ( v_f____, X ) ) ), v_x____ ) ), c_Rings_Oinverse__class_Odivide(
% 0.73/1.33 tc_RealDef_Oreal, v_e____, c_Int_Onumber__class_Onumber__of(
% 0.73/1.33 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.73/1.33 { ! class_Int_Onumber__ring( X ), c_Groups_Oone__class_Oone( X ) =
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit1( c_Int_OPls ) ) }.
% 0.73/1.33 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.73/1.33 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oabs__class_Oabs( X, Z ), Y
% 0.73/1.33 ) = c_Groups_Oabs__class_Oabs( X, c_Rings_Oinverse__class_Odivide( X, Z
% 0.73/1.33 , Y ) ) }.
% 0.73/1.33 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.73/1.33 X, Z, Y ), c_Orderings_Oord__class_Oless( X, Z,
% 0.73/1.33 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.73/1.33 ), c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ),
% 0.73/1.33 c_Groups_Oone__class_Oone( X ) ) ) ) }.
% 0.73/1.33 { ! c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.73/1.33 tc_Int_Oint, c_Groups_Oone__class_Oone( tc_Int_Oint ), X ), X ) =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.73/1.33 { c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.73/1.33 tc_Int_Oint ), c_Groups_Oone__class_Oone( tc_Int_Oint ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.73/1.33 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.73/1.33 tc_Int_Oint ), X ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.73/1.33 ( tc_Int_Oint ), X ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.73/1.33 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.73/1.33 tc_Int_Oint ) ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X )
% 0.73/1.33 }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.73/1.33 tc_Int_Oint ) ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y,
% 0.73/1.33 c_Groups_Ominus__class_Ominus( tc_Int_Oint, X, c_Groups_Oone__class_Oone
% 0.73/1.33 ( tc_Int_Oint ) ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.73/1.33 .
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y,
% 0.73/1.33 c_Groups_Ominus__class_Ominus( tc_Int_Oint, X, c_Groups_Oone__class_Oone
% 0.73/1.33 ( tc_Int_Oint ) ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.73/1.33 tc_Int_Oint ) ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), Y
% 0.73/1.33 = X }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.73/1.33 tc_Int_Oint ) ) ) }.
% 0.73/1.33 { ! Y = X, c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.73/1.33 tc_Int_Oint ) ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oabs__class_Oabs(
% 0.73/1.33 tc_Int_Oint, X ), c_Groups_Oone__class_Oone( tc_Int_Oint ) ), X =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.73/1.33 { ! X = c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oabs__class_Oabs(
% 0.73/1.33 tc_Int_Oint, X ), c_Groups_Oone__class_Oone( tc_Int_Oint ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, c_Groups_Oone__class_Oone(
% 0.73/1.33 tc_Int_Oint ) ), X ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X )
% 0.73/1.33 }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, c_Groups_Oone__class_Oone(
% 0.73/1.33 tc_Int_Oint ) ), X ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus
% 0.73/1.33 ( tc_Int_Oint, c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.73/1.33 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ), X ),
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.73/1.33 tc_Int_Oint, c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.73/1.33 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ), X ),
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.73/1.33 tc_Int_Oint ), c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.73/1.33 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, c_Groups_Oone__class_Oone(
% 0.73/1.33 tc_Int_Oint ) ), X ) }.
% 0.73/1.33 { ! c_Groups_Ozero__class_Ozero( tc_Int_Oint ) = c_Groups_Oone__class_Oone
% 0.73/1.33 ( tc_Int_Oint ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) }.
% 0.73/1.33 { c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) =
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Int_Oint,
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) }.
% 0.73/1.33 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.73/1.33 tc_Int_Oint ), X ) = X }.
% 0.73/1.33 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Ozero__class_Ozero
% 0.73/1.33 ( tc_Int_Oint ) ) = X }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ominus__class_Ominus
% 0.73/1.33 ( tc_Int_Oint, Y, X ), c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.73/1.33 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X ),
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), ! Y = X }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), Y = X,
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 0.73/1.33 { c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), Y = X,
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, Y ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.73/1.33 tc_Int_Oint, Y, Z ), c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, Z ) ) }
% 0.73/1.33 .
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, Y ),
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, X ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, T, Z ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.73/1.33 tc_Int_Oint, Y, T ), c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, Z ) ) }
% 0.73/1.33 .
% 0.73/1.33 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.73/1.33 tc_Int_Oint, Z, Y ), X ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z,
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }.
% 0.73/1.33 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, c_Groups_Oplus__class_Oplus
% 0.73/1.33 ( tc_Int_Oint, Y, X ) ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y,
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, X ) ) }.
% 0.73/1.33 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) =
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, Y ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, Y ), Y = X }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, Z ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, Z ) }.
% 0.73/1.33 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, Y ) }.
% 0.73/1.33 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, X ) }.
% 0.73/1.33 { c_Groups_Ozero__class_Ozero( tc_Int_Oint ) =
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OPls ) }.
% 0.73/1.33 { ! c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ),
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.73/1.33 { ! c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) =
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ),
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) =
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) }.
% 0.73/1.33 { c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OPls ) =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.73/1.33 { c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) =
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OPls ) }.
% 0.73/1.33 { c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1( c_Int_OPls )
% 0.73/1.33 ) = c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.73/1.33 { c_Groups_Oone__class_Oone( tc_Nat_Onat ) =
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1( c_Int_OPls )
% 0.73/1.33 ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ), alpha4( X, Y ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 0.73/1.33 { ! alpha4( X, Y ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) }.
% 0.73/1.33 { ! alpha4( X, Y ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ) }.
% 0.73/1.33 { c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), alpha4( X, Y ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ), alpha4( X
% 0.73/1.33 , Y ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ),
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) =
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) }.
% 0.73/1.33 { c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ),
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) =
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ) }.
% 0.73/1.33 { c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ),
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) =
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat,
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OPls ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OPls ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.73/1.33 ( tc_Nat_Onat ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.73/1.33 tc_Nat_Onat ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) }.
% 0.73/1.33 { c_Groups_Oone__class_Oone( tc_Int_Oint ) =
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit1( c_Int_OPls )
% 0.73/1.33 ) }.
% 0.73/1.33 { c_Complex_OIm( c_Int_Onumber__class_Onumber__of( tc_Complex_Ocomplex, X )
% 0.73/1.33 ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.73/1.33 { c_Complex_ORe( c_Int_Onumber__class_Onumber__of( tc_Complex_Ocomplex, X )
% 0.73/1.33 ) = c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, X ) }.
% 0.73/1.33 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Oone__class_Oone(
% 0.73/1.33 tc_Nat_Onat ), c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) =
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ) ) }.
% 0.73/1.33 { ! c_Complex_Ocomplex_OComplex( Z, Y ) = c_Int_Onumber__class_Onumber__of
% 0.73/1.33 ( tc_Complex_Ocomplex, X ), Z = c_Int_Onumber__class_Onumber__of(
% 0.73/1.33 tc_RealDef_Oreal, X ) }.
% 0.73/1.33 { ! c_Complex_Ocomplex_OComplex( Z, Y ) = c_Int_Onumber__class_Onumber__of
% 0.73/1.33 ( tc_Complex_Ocomplex, X ), Y = c_Groups_Ozero__class_Ozero(
% 0.73/1.33 tc_RealDef_Oreal ) }.
% 0.73/1.33 { ! Z = c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, X ), ! Y =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.73/1.33 c_Complex_Ocomplex_OComplex( Z, Y ) = c_Int_Onumber__class_Onumber__of(
% 0.73/1.33 tc_Complex_Ocomplex, X ) }.
% 0.73/1.33 { ! class_Fields_Olinordered__field__inverse__zero( X ),
% 0.73/1.33 c_Groups_Oabs__class_Oabs( X, c_Rings_Oinverse__class_Odivide( X, Z, Y )
% 0.73/1.33 ) = c_Rings_Oinverse__class_Odivide( X, c_Groups_Oabs__class_Oabs( X, Z
% 0.73/1.33 ), c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.73/1.33 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.73/1.33 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ), alpha5( X, Y, Z ), alpha26
% 0.73/1.33 ( X, Y, Z ) }.
% 0.73/1.33 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha5( X, Y, Z
% 0.73/1.33 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.73/1.33 ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.73/1.33 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha26( X, Y, Z
% 0.73/1.33 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.73/1.33 ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.73/1.33 { ! alpha26( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.73/1.33 { ! alpha26( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.73/1.33 ) ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ) ), alpha26( X, Y, Z ) }.
% 0.73/1.33 { ! alpha5( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.73/1.33 { ! alpha5( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.73/1.33 , Z ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ), Y ), alpha5( X, Y, Z ) }.
% 0.73/1.33 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.73/1.33 , Z, Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha6( X, Y, Z ), alpha27
% 0.73/1.33 ( X, Y, Z ) }.
% 0.73/1.33 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha6( X, Y, Z
% 0.73/1.33 ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 0.73/1.33 ( X, Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.73/1.33 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha27( X, Y, Z
% 0.73/1.33 ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 0.73/1.33 ( X, Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.73/1.33 { ! alpha27( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.73/1.33 { ! alpha27( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.73/1.33 ) ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero
% 0.73/1.33 ( X ), Y ), alpha27( X, Y, Z ) }.
% 0.73/1.33 { ! alpha6( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.73/1.33 { ! alpha6( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.73/1.33 , Z ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ) ), alpha6( X, Y, Z ) }.
% 0.73/1.33 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.73/1.33 ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 0.73/1.33 ( X, Z, T ), c_Rings_Oinverse__class_Odivide( X, Y, T ) ) }.
% 0.73/1.33 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Ozero__class_Ozero( X )
% 0.73/1.33 ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 0.73/1.33 ( X, Y, T ), c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.73/1.33 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.73/1.33 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ), alpha7( X, Y, Z ), alpha28
% 0.73/1.33 ( X, Y, Z ) }.
% 0.73/1.33 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha7( X, Y, Z
% 0.73/1.33 ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.73/1.33 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.73/1.33 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha28( X, Y, Z
% 0.73/1.33 ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.73/1.33 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.73/1.33 { ! alpha28( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.73/1.33 { ! alpha28( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.73/1.33 , ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.73/1.33 ), alpha28( X, Y, Z ) }.
% 0.73/1.33 { ! alpha7( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.73/1.33 { ! alpha7( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.73/1.33 , ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.73/1.33 ), alpha7( X, Y, Z ) }.
% 0.73/1.33 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, Z,
% 0.73/1.33 Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha8( X, Y, Z ), alpha29( X, Y
% 0.73/1.33 , Z ) }.
% 0.73/1.33 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha8( X, Y, Z
% 0.73/1.33 ), c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X
% 0.73/1.33 , Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.73/1.33 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha29( X, Y, Z
% 0.73/1.33 ), c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X
% 0.73/1.33 , Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.73/1.33 { ! alpha29( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.73/1.33 { ! alpha29( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.73/1.33 , ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.73/1.33 ), alpha29( X, Y, Z ) }.
% 0.73/1.33 { ! alpha8( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.73/1.33 { ! alpha8( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.73/1.33 , ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.73/1.33 ), alpha8( X, Y, Z ) }.
% 0.73/1.33 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.73/1.33 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.73/1.33 ( X, c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless
% 0.73/1.33 ( X, c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X
% 0.73/1.33 , Y, Z ) ) }.
% 0.73/1.33 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.73/1.33 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.73/1.33 ( X, Z, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 0.73/1.33 ( X, c_Rings_Oinverse__class_Odivide( X, Y, Z ),
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.73/1.33 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.73/1.33 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.73/1.33 ( X, c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless
% 0.73/1.33 ( X, c_Rings_Oinverse__class_Odivide( X, Y, Z ),
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.73/1.33 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.73/1.33 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.73/1.33 ( X, Z, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 0.73/1.33 ( X, c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X
% 0.73/1.33 , Y, Z ) ) }.
% 0.73/1.33 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.73/1.33 X, Z, Y ), ! c_Orderings_Oord__class_Oless( X,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless( X,
% 0.73/1.33 c_Rings_Oinverse__class_Odivide( X, Z, T ),
% 0.73/1.33 c_Rings_Oinverse__class_Odivide( X, Y, T ) ) }.
% 0.73/1.33 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.73/1.33 X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, T,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.73/1.33 c_Rings_Oinverse__class_Odivide( X, Y, T ),
% 0.73/1.33 c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.73/1.33 { ! class_Int_Onumber__ring( X ), c_Groups_Ozero__class_Ozero( X ) =
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( X, c_Int_OPls ) }.
% 0.73/1.33 { ! class_Fields_Olinordered__field( X ), Y = c_Groups_Ozero__class_Ozero(
% 0.73/1.33 X ), c_Groups_Oabs__class_Oabs( X, c_Rings_Oinverse__class_Odivide( X, Z
% 0.73/1.33 , Y ) ) = c_Rings_Oinverse__class_Odivide( X, c_Groups_Oabs__class_Oabs(
% 0.73/1.33 X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.73/1.33 { ! class_Fields_Olinordered__field( X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.73/1.33 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.73/1.33 , Z ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero
% 0.73/1.33 ( X ), c_Rings_Oinverse__class_Odivide( X, Y, Z ) ) }.
% 0.73/1.33 { ! class_Fields_Olinordered__field( X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.73/1.33 ), ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.73/1.33 ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.73/1.33 c_Rings_Oinverse__class_Odivide( X, Y, Z ), c_Groups_Ozero__class_Ozero(
% 0.73/1.33 X ) ) }.
% 0.73/1.33 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.73/1.33 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, Y, Z ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 0.73/1.33 ! c_Orderings_Oord__class_Oless( X, T, U ), c_Orderings_Oord__class_Oless
% 0.73/1.33 ( X, c_Rings_Oinverse__class_Odivide( X, Y, U ),
% 0.73/1.33 c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.73/1.33 { ! class_Fields_Olinordered__field( X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.73/1.33 ), ! c_Orderings_Oord__class_Oless( X, Y, Z ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 0.73/1.33 ! c_Orderings_Oord__class_Oless__eq( X, T, U ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, Y,
% 0.73/1.33 U ), c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.73/1.33 { ! class_Fields_Olinordered__field( X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.73/1.33 ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 0.73/1.33 ! c_Orderings_Oord__class_Oless__eq( X, T, U ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.73/1.33 , Y, U ), c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.73/1.33 { ! class_Fields_Olinordered__field( X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.73/1.33 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.73/1.33 , Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.73/1.33 c_Rings_Oinverse__class_Odivide( X, Y, Z ), c_Groups_Ozero__class_Ozero(
% 0.73/1.33 X ) ) }.
% 0.73/1.33 { ! class_Fields_Olinordered__field( X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.73/1.33 ), ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.73/1.33 ) ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.73/1.33 X ), c_Rings_Oinverse__class_Odivide( X, Y, Z ) ) }.
% 0.73/1.33 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.73/1.33 X, Z, Y ), c_Orderings_Oord__class_Oless( X,
% 0.73/1.33 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.73/1.33 ), c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ),
% 0.73/1.33 c_Groups_Oone__class_Oone( X ) ) ), Y ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit0( c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ) ) ), X = c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X =
% 0.73/1.33 c_Groups_Oone__class_Oone( tc_Int_Oint ) }.
% 0.73/1.33 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit0( c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ) ) ) }.
% 0.73/1.33 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.73/1.33 tc_Nat_Onat ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0
% 0.73/1.33 ( c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit0( X ) ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit1( X ) ) ) }.
% 0.73/1.33 { c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) = X }.
% 0.73/1.33 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Ozero__class_Ozero(
% 0.73/1.33 tc_Int_Oint ) ) }.
% 0.73/1.33 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OPls ) ) }.
% 0.73/1.33 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Oone__class_Oone(
% 0.73/1.33 tc_Int_Oint ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Oplus__class_Oplus(
% 0.73/1.33 tc_Int_Oint, X, Y ) ) }.
% 0.73/1.33 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit1( c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ) ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, skol21, X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, c_Complex_ORe( v_s( hAPP
% 0.73/1.33 ( v_f____, X ) ) ), v_x____ ) ), c_Rings_Oinverse__class_Odivide(
% 0.73/1.33 tc_RealDef_Oreal, v_e____, c_Int_Onumber__class_Onumber__of(
% 0.73/1.33 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, skol27, X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, c_Complex_OIm( v_s( hAPP
% 0.73/1.33 ( v_f____, hAPP( v_ga____, X ) ) ) ), v_y____ ) ),
% 0.73/1.33 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, v_e____,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.73/1.33 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.73/1.33 { ! c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ) =
% 0.73/1.33 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.33 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_Complex_Ocomplex, X,
% 0.73/1.33 c_Groups_Oone__class_Oone( tc_Complex_Ocomplex ) ) ),
% 0.73/1.33 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.33 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.73/1.33 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, X,
% 0.73/1.33 c_Groups_Oone__class_Oone( tc_Complex_Ocomplex ) ) ),
% 0.73/1.33 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.33 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_Complex_Ocomplex, X, c_Complex_Oii ) ),
% 0.73/1.33 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.33 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.73/1.33 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, X, c_Complex_Oii ) )
% 0.73/1.33 , c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.73/1.33 c_RComplete_Onatceiling( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, X
% 0.73/1.33 , c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) ) =
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_RComplete_Onatceiling( X ),
% 0.73/1.33 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ),
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ),
% 0.73/1.33 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) = c_Groups_Oone__class_Oone(
% 0.73/1.33 tc_Nat_Onat ) }.
% 0.73/1.33 { c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ),
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ),
% 0.73/1.33 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) =
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_Osucc( X ) ) }.
% 0.73/1.33 { ! c_Complex_Oii = c_Groups_Ozero__class_Ozero( tc_Complex_Ocomplex ) }.
% 0.73/1.33 { ! c_Complex_Oii = c_Groups_Oone__class_Oone( tc_Complex_Ocomplex ) }.
% 0.73/1.33 { ! c_Complex_Oii = c_Int_Onumber__class_Onumber__of( tc_Complex_Ocomplex,
% 0.73/1.33 X ) }.
% 0.73/1.33 { c_RComplete_Onatceiling( c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal )
% 0.73/1.33 ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.73/1.33 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_RComplete_Onatceiling( X )
% 0.73/1.33 ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_RComplete_Onatceiling(
% 0.73/1.33 Y ), c_RComplete_Onatceiling( X ) ) }.
% 0.73/1.33 { c_Complex_ORe( c_Complex_Oii ) = c_Groups_Ozero__class_Ozero(
% 0.73/1.33 tc_RealDef_Oreal ) }.
% 0.73/1.33 { c_RComplete_Onatceiling( c_Int_Onumber__class_Onumber__of(
% 0.73/1.33 tc_RealDef_Oreal, X ) ) = c_Int_Onumber__class_Onumber__of( tc_Nat_Onat,
% 0.73/1.33 X ) }.
% 0.73/1.33 { c_Complex_OIm( c_Complex_Oii ) = c_Groups_Oone__class_Oone(
% 0.73/1.33 tc_RealDef_Oreal ) }.
% 0.73/1.33 { c_RComplete_Onatceiling( c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) )
% 0.73/1.33 = c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.73/1.33 { c_Int_Osucc( c_Int_OPls ) = c_Int_OBit1( c_Int_OPls ) }.
% 0.73/1.33 { c_Int_Osucc( c_Int_OBit1( X ) ) = c_Int_OBit0( c_Int_Osucc( X ) ) }.
% 0.73/1.33 { c_Int_Osucc( c_Int_OBit0( X ) ) = c_Int_OBit1( X ) }.
% 0.73/1.33 { c_Int_Osucc( X ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint, X,
% 0.73/1.33 c_Groups_Oone__class_Oone( tc_Int_Oint ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.73/1.33 c_RComplete_Onatceiling( X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat )
% 0.73/1.33 }.
% 0.73/1.33 { ! c_Complex_Ocomplex_OComplex( Y, X ) = c_Complex_Oii, Y =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.73/1.33 { ! c_Complex_Ocomplex_OComplex( Y, X ) = c_Complex_Oii, X =
% 0.73/1.33 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.73/1.33 { ! Y = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! X =
% 0.73/1.33 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ),
% 0.73/1.33 c_Complex_Ocomplex_OComplex( Y, X ) = c_Complex_Oii }.
% 0.73/1.33 { c_Complex_Oii = c_Complex_Ocomplex_OComplex( c_Groups_Ozero__class_Ozero
% 0.73/1.33 ( tc_RealDef_Oreal ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.73/1.33 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.73/1.33 c_Int_Osucc( Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.73/1.33 c_Groups_Oone__class_Oone( X ), c_Int_Onumber__class_Onumber__of( X, Y )
% 0.73/1.33 ) }.
% 0.73/1.33 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit1(
% 0.73/1.33 X ) ) = c_Int_OBit0( c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y,
% 0.73/1.33 c_Int_Osucc( X ) ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_RComplete_Onatceiling
% 0.73/1.33 ( X ), c_Groups_Oone__class_Oone( tc_Nat_Onat ) ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.73/1.33 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.73/1.33 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_RComplete_Onatceiling(
% 0.73/1.33 X ), c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ),
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Oone__class_Oone(
% 0.73/1.33 tc_Nat_Onat ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) =
% 0.73/1.33 c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.73/1.33 { c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ),
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Oone__class_Oone(
% 0.73/1.33 tc_Nat_Onat ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) =
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_Osucc( X ) ) }.
% 0.73/1.33 { c_Nat__Numeral_Oneg( c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) )
% 0.73/1.33 , ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ),
% 0.73/1.33 c_RComplete_Onatceiling( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y
% 0.73/1.33 , c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, X ) ) ) =
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_RComplete_Onatceiling( Y ),
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) }.
% 0.73/1.33 { c_Nat__Numeral_Oneg( c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) )
% 0.73/1.33 , ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_RComplete_Onatceiling(
% 0.73/1.33 Y ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, X ) ) }.
% 0.73/1.33 { c_Nat__Numeral_Oneg( c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) )
% 0.73/1.33 , ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, X ) ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_RComplete_Onatceiling(
% 0.73/1.33 Y ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ),
% 0.73/1.33 c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ),
% 0.73/1.33 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) = c_Groups_Ozero__class_Ozero
% 0.73/1.33 ( tc_Nat_Onat ) }.
% 0.73/1.33 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ),
% 0.73/1.33 c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ),
% 0.73/1.33 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) =
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_Opred( X ) ) }.
% 0.73/1.33 { ! c_Nat__Numeral_Oneg( c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.73/1.33 { ! c_Nat__Numeral_Oneg( c_Groups_Oone__class_Oone( tc_Int_Oint ) ) }.
% 0.73/1.33 { ! c_Nat__Numeral_Oneg( c_Int_Onumber__class_Onumber__of( tc_Int_Oint,
% 0.73/1.33 c_Int_Opred( X ) ) ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X )
% 0.73/1.33 = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.73/1.33 { ! c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Nat__Numeral_Oneg(
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_Opred( X ) ) ) }.
% 0.73/1.33 { c_Int_Osucc( c_Int_Opred( X ) ) = X }.
% 0.73/1.33 { c_Nat__Numeral_Oneg( X ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint
% 0.73/1.33 , c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), ! c_Nat__Numeral_Oneg( X
% 0.73/1.33 ) }.
% 0.73/1.33 { ! c_Nat__Numeral_Oneg( X ), c_Orderings_Oord__class_Oless( tc_Int_Oint, X
% 0.73/1.33 , c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), c_Nat__Numeral_Oneg( X ) }
% 0.73/1.33 .
% 0.73/1.33 { ! c_Nat__Numeral_Oneg( c_Int_Onumber__class_Onumber__of( tc_Int_Oint,
% 0.73/1.33 c_Int_OBit1( X ) ) ), c_Nat__Numeral_Oneg(
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) }.
% 0.73/1.33 { ! c_Nat__Numeral_Oneg( c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X )
% 0.73/1.33 ), c_Nat__Numeral_Oneg( c_Int_Onumber__class_Onumber__of( tc_Int_Oint,
% 0.73/1.33 c_Int_OBit1( X ) ) ) }.
% 0.73/1.33 { ! c_Nat__Numeral_Oneg( c_Int_Onumber__class_Onumber__of( tc_Int_Oint,
% 0.73/1.33 c_Int_OPls ) ) }.
% 0.73/1.33 { ! c_Nat__Numeral_Oneg( c_Int_Onumber__class_Onumber__of( tc_Int_Oint,
% 0.73/1.33 c_Int_OBit0( X ) ) ), c_Nat__Numeral_Oneg(
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) }.
% 0.73/1.33 { ! c_Nat__Numeral_Oneg( c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X )
% 0.73/1.33 ), c_Nat__Numeral_Oneg( c_Int_Onumber__class_Onumber__of( tc_Int_Oint,
% 0.73/1.33 c_Int_OBit0( X ) ) ) }.
% 0.73/1.33 { c_Int_Opred( c_Int_OBit1( X ) ) = c_Int_OBit0( X ) }.
% 0.73/1.33 { c_Int_Opred( c_Int_OBit0( X ) ) = c_Int_OBit1( c_Int_Opred( X ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_Opred( Y ), X ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_Opred( Y ), X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ) }.
% 0.73/1.33 { c_Int_Opred( X ) = c_Groups_Ominus__class_Ominus( tc_Int_Oint, X,
% 0.73/1.33 c_Groups_Oone__class_Oone( tc_Int_Oint ) ) }.
% 0.73/1.33 { ! c_Nat__Numeral_Oneg( c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X )
% 0.73/1.33 ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.73/1.33 { c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit1
% 0.73/1.33 ( X ) ) = c_Int_OBit1( c_Groups_Ominus__class_Ominus( tc_Int_Oint,
% 0.73/1.33 c_Int_Opred( Y ), X ) ) }.
% 0.73/1.33 { ! c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ) =
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ), alpha9( X, Y ) }.
% 0.73/1.33 { ! c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ) =
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ), alpha30( X, Y ) }.
% 0.73/1.33 { ! alpha9( X, Y ), ! alpha30( X, Y ), c_Int_Onumber__class_Onumber__of(
% 0.73/1.33 tc_Nat_Onat, Y ) = c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) }.
% 0.73/1.33 { ! alpha30( X, Y ), c_Nat__Numeral_Oneg( c_Int_Onumber__class_Onumber__of
% 0.73/1.33 ( tc_Int_Oint, Y ) ), alpha44( X, Y ) }.
% 0.73/1.33 { ! c_Nat__Numeral_Oneg( c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y )
% 0.73/1.33 ), alpha30( X, Y ) }.
% 0.73/1.33 { ! alpha44( X, Y ), alpha30( X, Y ) }.
% 0.73/1.33 { ! alpha44( X, Y ), alpha48( X, Y ) }.
% 0.73/1.33 { ! alpha44( X, Y ), alpha51( X, Y ) }.
% 0.73/1.33 { ! alpha48( X, Y ), ! alpha51( X, Y ), alpha44( X, Y ) }.
% 0.73/1.33 { ! alpha51( X, Y ), c_Nat__Numeral_Oneg( c_Int_Onumber__class_Onumber__of
% 0.73/1.33 ( tc_Int_Oint, X ) ), Y = X }.
% 0.73/1.33 { ! c_Nat__Numeral_Oneg( c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X )
% 0.73/1.33 ), alpha51( X, Y ) }.
% 0.73/1.33 { ! Y = X, alpha51( X, Y ) }.
% 0.73/1.33 { ! alpha48( X, Y ), ! c_Nat__Numeral_Oneg(
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ),
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ) =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.73/1.33 { c_Nat__Numeral_Oneg( c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) )
% 0.73/1.33 , alpha48( X, Y ) }.
% 0.73/1.33 { ! c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ) =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), alpha48( X, Y ) }.
% 0.73/1.33 { ! alpha9( X, Y ), ! c_Nat__Numeral_Oneg( c_Int_Onumber__class_Onumber__of
% 0.73/1.33 ( tc_Int_Oint, Y ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ),
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.73/1.33 { c_Nat__Numeral_Oneg( c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ) )
% 0.73/1.33 , alpha9( X, Y ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ),
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), alpha9( X, Y ) }.
% 0.73/1.33 { ! c_Nat__Numeral_Oneg( c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Z )
% 0.73/1.33 ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Z ),
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ), X ) ) =
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ), X ) }.
% 0.73/1.33 { c_Nat__Numeral_Oneg( c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Z ) )
% 0.73/1.33 , ! c_Nat__Numeral_Oneg( c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y
% 0.73/1.33 ) ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Z ),
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ), X ) ) =
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Z ), X ) }.
% 0.73/1.33 { c_Nat__Numeral_Oneg( c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Z ) )
% 0.73/1.33 , c_Nat__Numeral_Oneg( c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y )
% 0.73/1.33 ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Z ),
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ), X ) ) =
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat,
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, Y ) ), X ) }.
% 0.73/1.33 { c_Nat__Numeral_Oneg( c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) )
% 0.73/1.33 , ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ),
% 0.73/1.33 c_RComplete_Onatfloor( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, X ) ) ) =
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_RComplete_Onatfloor( Y ),
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) }.
% 0.73/1.33 { c_Nat__Numeral_Oneg( c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) )
% 0.73/1.33 , ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ), c_RComplete_Onatfloor
% 0.73/1.33 ( Y ) ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, X ), Y ) }.
% 0.73/1.33 { c_Nat__Numeral_Oneg( c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) )
% 0.73/1.33 , ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, X ), Y ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ), c_RComplete_Onatfloor
% 0.73/1.33 ( Y ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.73/1.33 c_RComplete_Onatfloor( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, X,
% 0.73/1.33 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) ) =
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_RComplete_Onatfloor( X ),
% 0.73/1.33 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) }.
% 0.73/1.33 { c_RComplete_Onatfloor( c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) )
% 0.73/1.33 = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.73/1.33 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_RComplete_Onatfloor( X ) )
% 0.73/1.33 }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_RComplete_Onatfloor( Y
% 0.73/1.33 ), c_RComplete_Onatfloor( X ) ) }.
% 0.73/1.33 { c_RComplete_Onatfloor( c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal
% 0.73/1.33 , X ) ) = c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) }.
% 0.73/1.33 { c_RComplete_Onatfloor( c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) =
% 0.73/1.33 c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), c_RComplete_Onatfloor
% 0.73/1.33 ( X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.73/1.33 c_Groups_Oone__class_Oone( tc_Nat_Onat ), c_RComplete_Onatfloor( X ) ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Groups_Oone__class_Oone
% 0.73/1.33 ( tc_Nat_Onat ), c_RComplete_Onatfloor( X ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.73/1.33 c_Nat__Transfer_Otsub( X, Y ) = c_Groups_Ominus__class_Ominus(
% 0.73/1.33 tc_Int_Oint, X, Y ) }.
% 0.73/1.33 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.73/1.33 c_Nat__Transfer_Otsub( X, Y ) = c_Groups_Ozero__class_Ozero( tc_Int_Oint
% 0.73/1.33 ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.73/1.33 tc_Nat_Onat, Y ), X ), ! c_Orderings_Oord__class_Oless__eq(
% 0.73/1.33 tc_RealDef_Oreal, X, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.73/1.33 c_RealDef_Oreal( tc_Nat_Onat, Y ), c_Groups_Oone__class_Oone(
% 0.73/1.33 tc_RealDef_Oreal ) ) ), c_RComplete_Onatceiling( X ) =
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, c_Groups_Oone__class_Oone(
% 0.73/1.33 tc_Nat_Onat ) ) }.
% 0.73/1.33 { c_Groups_Oone__class_Oone( tc_Code__Numeral_Ocode__numeral ) =
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Code__Numeral_Ocode__numeral,
% 0.73/1.33 c_Int_OBit1( c_Int_OPls ) ) }.
% 0.73/1.33 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.73/1.33 tc_Nat_Onat, X ) ) }.
% 0.73/1.33 { c_RComplete_Onatfloor( c_RealDef_Oreal( tc_Nat_Onat, X ) ) = X }.
% 0.73/1.33 { c_RComplete_Onatceiling( c_RealDef_Oreal( tc_Nat_Onat, X ) ) = X }.
% 0.73/1.33 { ! c_RealDef_Oreal( tc_Nat_Onat, Y ) = c_RealDef_Oreal( tc_Nat_Onat, X ),
% 0.73/1.33 Y = X }.
% 0.73/1.33 { ! Y = X, c_RealDef_Oreal( tc_Nat_Onat, Y ) = c_RealDef_Oreal( tc_Nat_Onat
% 0.73/1.33 , X ) }.
% 0.73/1.33 { c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, c_RealDef_Oreal( tc_Nat_Onat
% 0.73/1.33 , X ) ) = c_RealDef_Oreal( tc_Nat_Onat, X ) }.
% 0.73/1.33 { c_Groups_Ominus__class_Ominus( tc_Code__Numeral_Ocode__numeral,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Code__Numeral_Ocode__numeral ),
% 0.73/1.33 c_Groups_Oone__class_Oone( tc_Code__Numeral_Ocode__numeral ) ) =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Code__Numeral_Ocode__numeral ) }.
% 0.73/1.33 { c_RealDef_Oreal( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat )
% 0.73/1.33 ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.73/1.33 { ! c_RealDef_Oreal( tc_Nat_Onat, X ) = c_Groups_Ozero__class_Ozero(
% 0.73/1.33 tc_RealDef_Oreal ), X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.73/1.33 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_RealDef_Oreal(
% 0.73/1.33 tc_Nat_Onat, X ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.73/1.33 tc_Nat_Onat, X ), c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.73/1.33 tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.73/1.33 tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.73/1.33 tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.73/1.33 tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ) }.
% 0.73/1.33 { c_RealDef_Oreal( tc_Nat_Onat, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y
% 0.73/1.33 , X ) ) = c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_RealDef_Oreal
% 0.73/1.33 ( tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ) }.
% 0.73/1.33 { c_RealDef_Oreal( tc_Nat_Onat, c_Groups_Oone__class_Oone( tc_Nat_Onat ) )
% 0.73/1.33 = c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.73/1.33 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, c_RealDef_Oreal(
% 0.73/1.33 tc_Nat_Onat, c_RComplete_Onatceiling( X ) ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.73/1.33 tc_Nat_Onat, X ), c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), X =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.73/1.33 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.73/1.33 tc_Nat_Onat, X ), c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), c_RealDef_Oreal
% 0.73/1.33 ( tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) =
% 0.73/1.33 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.73/1.33 tc_Nat_Onat, X ), c_RealDef_Oreal( tc_Nat_Onat, Y ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.73/1.33 tc_Nat_Onat, c_RComplete_Onatfloor( X ) ), X ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.73/1.33 tc_Nat_Onat, Y ), X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y
% 0.73/1.33 , c_RComplete_Onatfloor( X ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, c_RealDef_Oreal
% 0.73/1.33 ( tc_Nat_Onat, X ) ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.73/1.33 c_RComplete_Onatceiling( Y ), X ) }.
% 0.73/1.33 { c_Groups_Ozero__class_Ozero( tc_Code__Numeral_Ocode__numeral ) =
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Code__Numeral_Ocode__numeral,
% 0.73/1.33 c_Int_OPls ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.73/1.33 tc_Nat_Onat, X ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.73/1.33 ( tc_Nat_Onat ), X ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.73/1.33 tc_Nat_Onat, X ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.73/1.33 tc_Nat_Onat, Y ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.73/1.33 c_RealDef_Oreal( tc_Nat_Onat, X ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.73/1.33 tc_Nat_Onat, Y ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.73/1.33 c_RealDef_Oreal( tc_Nat_Onat, X ) ), c_Orderings_Oord__class_Oless(
% 0.73/1.33 tc_Nat_Onat, Y, X ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.73/1.33 tc_Nat_Onat, Y ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.73/1.33 c_RealDef_Oreal( tc_Nat_Onat, X ), c_Groups_Oone__class_Oone(
% 0.73/1.33 tc_RealDef_Oreal ) ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.73/1.33 tc_Nat_Onat, Y ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.73/1.33 c_RealDef_Oreal( tc_Nat_Onat, X ), c_Groups_Oone__class_Oone(
% 0.73/1.33 tc_RealDef_Oreal ) ) ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y
% 0.73/1.33 , X ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, c_RComplete_Onatfloor
% 0.73/1.33 ( X ) ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_RealDef_Oreal( tc_Nat_Onat, Y ), X ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.73/1.33 tc_Nat_Onat, Y ), X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y
% 0.73/1.33 , c_RComplete_Onatfloor( X ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_RComplete_Onatceiling(
% 0.73/1.33 X ), Y ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.73/1.33 c_RealDef_Oreal( tc_Nat_Onat, Y ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, c_RealDef_Oreal(
% 0.73/1.33 tc_Nat_Onat, Y ) ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.73/1.33 c_RComplete_Onatceiling( X ), Y ) }.
% 0.73/1.33 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.73/1.33 tc_Nat_Onat, c_RComplete_Onatfloor( X ) ), c_Groups_Oone__class_Oone(
% 0.73/1.33 tc_RealDef_Oreal ) ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.73/1.33 tc_Nat_Onat, Y ), X ), c_RComplete_Onatfloor(
% 0.73/1.33 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X, c_RealDef_Oreal(
% 0.73/1.33 tc_Nat_Onat, Y ) ) ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.73/1.33 c_RComplete_Onatfloor( X ), Y ) }.
% 0.73/1.33 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X,
% 0.73/1.33 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ), c_RealDef_Oreal(
% 0.73/1.33 tc_Nat_Onat, c_RComplete_Onatfloor( X ) ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.73/1.33 tc_Nat_Onat, Y ), X ), c_RComplete_Onatceiling(
% 0.73/1.33 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X, c_RealDef_Oreal(
% 0.73/1.33 tc_Nat_Onat, Y ) ) ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.73/1.33 c_RComplete_Onatceiling( X ), Y ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Nat__Transfer_Otsub( X, Y )
% 0.73/1.33 ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, c_RealDef_Oreal(
% 0.73/1.33 tc_Nat_Onat, Y ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.73/1.33 c_RComplete_Onatfloor( X ), Y ) }.
% 0.73/1.33 { ! c_Nat__Numeral_Oneg( c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X )
% 0.73/1.33 ), c_RealDef_Oreal( tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(
% 0.73/1.33 tc_Nat_Onat, X ) ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.73/1.33 { c_Nat__Numeral_Oneg( c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) )
% 0.73/1.33 , c_RealDef_Oreal( tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(
% 0.73/1.33 tc_Nat_Onat, X ) ) = c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 0.73/1.33 X ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.73/1.33 c_RComplete_Onatfloor( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, X,
% 0.73/1.33 c_RealDef_Oreal( tc_Nat_Onat, Y ) ) ) = c_Groups_Oplus__class_Oplus(
% 0.73/1.33 tc_Nat_Onat, c_RComplete_Onatfloor( X ), Y ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.73/1.33 c_Nat__Transfer_Otsub( X, Y ) = c_Groups_Ominus__class_Ominus(
% 0.73/1.33 tc_Int_Oint, X, Y ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_RComplete_Onatfloor( Y ),
% 0.73/1.33 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ), X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, c_RealDef_Oreal(
% 0.73/1.33 tc_Nat_Onat, X ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.73/1.33 tc_Nat_Onat, Y ), X ), ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal
% 0.73/1.33 , X, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.73/1.33 tc_Nat_Onat, Y ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) ),
% 0.73/1.33 c_RComplete_Onatfloor( X ) = Y }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.73/1.33 c_RComplete_Onatceiling( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, X
% 0.73/1.33 , c_RealDef_Oreal( tc_Nat_Onat, Y ) ) ) = c_Groups_Oplus__class_Oplus(
% 0.73/1.33 tc_Nat_Onat, c_RComplete_Onatceiling( X ), Y ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.73/1.33 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, skol22( X ),
% 0.73/1.33 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) ), X ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, c_RealDef_Oreal(
% 0.73/1.33 tc_Nat_Onat, skol22( X ) ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.73/1.33 tc_Nat_Onat ), Y ), c_RComplete_Onatfloor(
% 0.73/1.33 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X, c_RealDef_Oreal(
% 0.73/1.33 tc_Nat_Onat, Y ) ) ) = c_Divides_Odiv__class_Odiv( tc_Nat_Onat,
% 0.73/1.33 c_RComplete_Onatfloor( X ), Y ) }.
% 0.73/1.33 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.73/1.33 , c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.73/1.33 c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.73/1.33 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ),
% 0.73/1.33 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.73/1.33 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) ), ! Z =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X )
% 0.73/1.33 }.
% 0.73/1.33 { ! class_Rings_Olinordered__idom( X ), Z = c_Groups_Ozero__class_Ozero( X
% 0.73/1.33 ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.73/1.33 c_Groups_Oplus__class_Oplus( X, c_Power_Opower__class_Opower( X, Z,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( X, Y,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ) ) ) ) ) }.
% 0.73/1.33 { ! class_Rings_Olinordered__idom( X ), Y = c_Groups_Ozero__class_Ozero( X
% 0.73/1.33 ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.73/1.33 c_Groups_Oplus__class_Oplus( X, c_Power_Opower__class_Opower( X, Z,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( X, Y,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ) ) ) ) ) }.
% 0.73/1.33 { ! X = c_RealDef_Oreal( tc_Nat_Onat, c_RComplete_Onatfloor( X ) ),
% 0.73/1.33 c_RComplete_Onatfloor( c_Power_Opower__class_Opower( tc_RealDef_Oreal, X
% 0.73/1.33 , Y ) ) = c_Power_Opower__class_Opower( tc_Nat_Onat,
% 0.73/1.33 c_RComplete_Onatfloor( X ), Y ) }.
% 0.73/1.33 { c_RealDef_Oreal( tc_Nat_Onat, c_Power_Opower__class_Opower( tc_Nat_Onat,
% 0.73/1.33 Y, X ) ) = c_Power_Opower__class_Opower( tc_RealDef_Oreal,
% 0.73/1.33 c_RealDef_Oreal( tc_Nat_Onat, Y ), X ) }.
% 0.73/1.33 { c_Power_Opower__class_Opower( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.73/1.33 tc_Nat_Onat, Y ), X ) = c_RealDef_Oreal( tc_Nat_Onat,
% 0.73/1.33 c_Power_Opower__class_Opower( tc_Nat_Onat, Y, X ) ) }.
% 0.73/1.33 { ! class_Rings_Ocomm__semiring__1( X ), c_Power_Opower__class_Opower( X, Y
% 0.73/1.33 , c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) = Y }.
% 0.73/1.33 { ! class_RealVector_Oreal__normed__div__algebra( X ),
% 0.73/1.33 c_RealVector_Onorm__class_Onorm( X, c_Power_Opower__class_Opower( X, Z, Y
% 0.73/1.33 ) ) = c_Power_Opower__class_Opower( tc_RealDef_Oreal,
% 0.73/1.33 c_RealVector_Onorm__class_Onorm( X, Z ), Y ) }.
% 0.73/1.33 { ! class_RealVector_Oreal__normed__algebra__1( X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_RealVector_Onorm__class_Onorm( X, c_Power_Opower__class_Opower( X, Z, Y
% 0.73/1.33 ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal,
% 0.73/1.33 c_RealVector_Onorm__class_Onorm( X, Z ), Y ) ) }.
% 0.73/1.33 { ! class_Rings_Ocomm__semiring__1( X ), c_Power_Opower__class_Opower( X, Y
% 0.73/1.33 , c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) =
% 0.73/1.33 c_Groups_Oone__class_Oone( X ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.73/1.33 ( tc_Nat_Onat ), c_Power_Opower__class_Opower( tc_Nat_Onat, Y, X ) ), X =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.73/1.33 tc_Nat_Onat ), Y ) }.
% 0.73/1.33 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.73/1.33 tc_Nat_Onat ), c_Power_Opower__class_Opower( tc_Nat_Onat, Y, X ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.73/1.33 ( tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Power_Opower__class_Opower
% 0.73/1.33 ( tc_Nat_Onat, Y, X ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Power_Opower__class_Opower
% 0.73/1.33 ( tc_Int_Oint, X, Y ) ) }.
% 0.73/1.33 { ! class_Power_Opower( X ), ! class_Rings_Omult__zero( X ), !
% 0.73/1.33 class_Rings_Ono__zero__divisors( X ), ! class_Rings_Ozero__neq__one( X )
% 0.73/1.33 , ! c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of
% 0.73/1.33 ( tc_Nat_Onat, Y ) ) = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ) }.
% 0.73/1.33 { ! class_Power_Opower( X ), ! class_Rings_Omult__zero( X ), !
% 0.73/1.33 class_Rings_Ono__zero__divisors( X ), ! class_Rings_Ozero__neq__one( X )
% 0.73/1.33 , ! c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of
% 0.73/1.33 ( tc_Nat_Onat, Y ) ) = c_Groups_Ozero__class_Ozero( X ), !
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ) =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.73/1.33 { ! class_Power_Opower( X ), ! class_Rings_Omult__zero( X ), !
% 0.73/1.33 class_Rings_Ono__zero__divisors( X ), ! class_Rings_Ozero__neq__one( X )
% 0.73/1.33 , ! Z = c_Groups_Ozero__class_Ozero( X ),
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ) =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Power_Opower__class_Opower
% 0.73/1.33 ( X, Z, c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ) ) =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ) }.
% 0.73/1.33 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.73/1.33 tc_Nat_Onat, c_Divides_Odiv__class_Odiv( tc_Nat_Onat, Y, X ) ),
% 0.73/1.33 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.73/1.33 tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.73/1.33 ( tc_Nat_Onat ), c_Power_Opower__class_Opower( tc_Nat_Onat, Y,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) ),
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Orderings_Oord__class_Oless
% 0.73/1.33 ( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y ) }.
% 0.73/1.33 { ! c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Orderings_Oord__class_Oless
% 0.73/1.33 ( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.73/1.33 c_Power_Opower__class_Opower( tc_Nat_Onat, Y,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.73/1.33 ( tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Power_Opower__class_Opower
% 0.73/1.33 ( tc_Nat_Onat, Y, c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) )
% 0.73/1.33 }.
% 0.73/1.33 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Power_Opower__class_Opower
% 0.73/1.33 ( tc_Int_Oint, c_Groups_Oabs__class_Oabs( tc_Int_Oint, Y ), X ) ) }.
% 0.73/1.33 { ! class_Power_Opower( X ), ! class_Rings_Osemiring__0( X ), !
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ) =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Power_Opower__class_Opower
% 0.73/1.33 ( X, c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of(
% 0.73/1.33 tc_Nat_Onat, Y ) ) = c_Groups_Oone__class_Oone( X ) }.
% 0.73/1.33 { ! class_Power_Opower( X ), ! class_Rings_Osemiring__0( X ),
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ) =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Power_Opower__class_Opower
% 0.73/1.33 ( X, c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of(
% 0.73/1.33 tc_Nat_Onat, Y ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.73/1.33 ( tc_Int_Oint ), c_Power_Opower__class_Opower( tc_Int_Oint,
% 0.73/1.33 c_Groups_Oabs__class_Oabs( tc_Int_Oint, Y ), X ) ), ! Y =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.73/1.33 { Y = c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.73/1.33 tc_Int_Oint ), c_Power_Opower__class_Opower( tc_Int_Oint,
% 0.73/1.33 c_Groups_Oabs__class_Oabs( tc_Int_Oint, Y ), X ) ) }.
% 0.73/1.33 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.73/1.33 tc_Int_Oint ), c_Power_Opower__class_Opower( tc_Int_Oint,
% 0.73/1.33 c_Groups_Oabs__class_Oabs( tc_Int_Oint, Y ), X ) ) }.
% 0.73/1.33 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.73/1.33 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.73/1.33 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.73/1.33 tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ), c_RealDef_Oreal(
% 0.73/1.33 tc_Nat_Onat, c_Divides_Odiv__class_Odiv( tc_Nat_Onat, Y, X ) ) ) ) }.
% 0.73/1.33 { ! class_Rings_Oring__1__no__zero__divisors( X ), !
% 0.73/1.33 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.73/1.33 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.73/1.33 .
% 0.73/1.33 { ! class_Rings_Oring__1__no__zero__divisors( X ), ! Y =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ), c_Power_Opower__class_Opower( X, Y,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ) ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.73/1.33 { ! class_Rings_Osemiring__1( X ), c_Power_Opower__class_Opower( X,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of(
% 0.73/1.33 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ) }.
% 0.73/1.33 { ! class_Rings_Osemiring__1( X ), c_Power_Opower__class_Opower( X,
% 0.73/1.33 c_Groups_Oone__class_Oone( X ), c_Int_Onumber__class_Onumber__of(
% 0.73/1.33 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) =
% 0.73/1.33 c_Groups_Oone__class_Oone( X ) }.
% 0.73/1.33 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.73/1.33 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.73/1.33 tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ), c_RealDef_Oreal(
% 0.73/1.33 tc_Nat_Onat, c_Divides_Odiv__class_Odiv( tc_Nat_Onat, Y, X ) ) ),
% 0.73/1.33 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.73/1.33 { ! class_Rings_Olinordered__idom( X ), c_Groups_Oabs__class_Oabs( X,
% 0.73/1.33 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.73/1.33 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) =
% 0.73/1.33 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.73/1.33 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.73/1.33 { ! class_Rings_Olinordered__idom( X ), c_Power_Opower__class_Opower( X,
% 0.73/1.33 c_Groups_Oabs__class_Oabs( X, Y ), c_Int_Onumber__class_Onumber__of(
% 0.73/1.33 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) =
% 0.73/1.33 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.73/1.33 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.73/1.33 { ! class_Rings_Olinordered__semidom( X ), ! c_Power_Opower__class_Opower(
% 0.73/1.33 X, Z, c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0(
% 0.73/1.33 c_Int_OBit1( c_Int_OPls ) ) ) ) = c_Power_Opower__class_Opower( X, Y,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ) ) ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ), Z ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.73/1.33 ), Z = Y }.
% 0.73/1.33 { ! class_Rings_Olinordered__semidom( X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, c_Power_Opower__class_Opower( X, Z
% 0.73/1.33 , c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1
% 0.73/1.33 ( c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( X, Y,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ) ) ) ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless__eq
% 0.73/1.33 ( X, Z, Y ) }.
% 0.73/1.33 { ! class_Rings_Olinordered__idom( X ), c_Orderings_Oord__class_Oless__eq(
% 0.73/1.33 X, c_Groups_Ozero__class_Ozero( X ), c_Power_Opower__class_Opower( X, Y,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ) ) ) ) }.
% 0.73/1.33 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.73/1.33 , c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.73/1.33 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ),
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.73/1.33 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.73/1.33 , c_Groups_Ozero__class_Ozero( X ), c_Power_Opower__class_Opower( X, Y,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ) ) ) ), ! Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.73/1.33 { ! class_Rings_Olinordered__idom( X ), Y = c_Groups_Ozero__class_Ozero( X
% 0.73/1.33 ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.73/1.33 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.73/1.33 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.73/1.33 { ! class_Rings_Olinordered__idom( X ), ! c_Groups_Oplus__class_Oplus( X,
% 0.73/1.33 c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.73/1.33 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ),
% 0.73/1.33 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.73/1.33 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ) }
% 0.73/1.33 .
% 0.73/1.33 { ! class_Rings_Olinordered__idom( X ), ! c_Groups_Oplus__class_Oplus( X,
% 0.73/1.33 c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.73/1.33 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ),
% 0.73/1.33 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.73/1.33 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.73/1.33 .
% 0.73/1.33 { ! class_Rings_Olinordered__idom( X ), ! Z = c_Groups_Ozero__class_Ozero(
% 0.73/1.33 X ), ! Y = c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus
% 0.73/1.33 ( X, c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of
% 0.73/1.33 ( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ),
% 0.73/1.33 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.73/1.33 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ) }.
% 0.73/1.33 { ! c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.73/1.33 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ) ) ) ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y
% 0.73/1.33 = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.73/1.33 { ! c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.73/1.33 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ) ) ) ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X
% 0.73/1.33 = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.73/1.33 { ! Y = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! X =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.73/1.33 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ) ) ) ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }
% 0.73/1.33 .
% 0.73/1.33 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ),
% 0.73/1.33 c_Power_Opower__class_Opower( tc_RealDef_Oreal,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.73/1.33 c_Int_OBit1( c_Int_OPls ) ) ), X ) ) }.
% 0.73/1.33 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.73/1.33 tc_Nat_Onat, X ), c_Power_Opower__class_Opower( tc_RealDef_Oreal,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.73/1.33 c_Int_OBit1( c_Int_OPls ) ) ), X ) ) }.
% 0.73/1.33 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.73/1.33 ( X, c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of
% 0.73/1.33 ( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ),
% 0.73/1.33 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.73/1.33 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.73/1.33 ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.73/1.33 { ! class_Rings_Olinordered__idom( X ), c_Orderings_Oord__class_Oless__eq(
% 0.73/1.33 X, c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.73/1.33 c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.73/1.33 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ),
% 0.73/1.33 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.73/1.33 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) ) }.
% 0.73/1.33 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq
% 0.73/1.33 ( X, c_Groups_Oplus__class_Oplus( X, c_Power_Opower__class_Opower( X, Z,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( X, Y,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ) ) ) ), c_Groups_Ozero__class_Ozero( X ) ), Z =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ) }.
% 0.73/1.33 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq
% 0.73/1.33 ( X, c_Groups_Oplus__class_Oplus( X, c_Power_Opower__class_Opower( X, Z,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( X, Y,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ) ) ) ), c_Groups_Ozero__class_Ozero( X ) ), Y =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ) }.
% 0.73/1.33 { ! class_Rings_Olinordered__idom( X ), ! Z = c_Groups_Ozero__class_Ozero(
% 0.73/1.33 X ), ! Y = c_Groups_Ozero__class_Ozero( X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 0.73/1.33 c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.73/1.33 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ),
% 0.73/1.33 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.73/1.33 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ),
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.73/1.33 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.73/1.33 , c_Groups_Oplus__class_Oplus( X, c_Power_Opower__class_Opower( X, Z,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( X, Y,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ) ) ) ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.73/1.33 ( tc_Nat_Onat ), X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Divides_Odiv__class_Odiv(
% 0.73/1.33 tc_Nat_Onat, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.73/1.33 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ),
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ) ) ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oone__class_Oone(
% 0.73/1.33 tc_Nat_Onat ), X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Divides_Odiv__class_Odiv(
% 0.73/1.33 tc_Nat_Onat, X, c_Int_Onumber__class_Onumber__of( tc_Nat_Onat,
% 0.73/1.33 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ),
% 0.73/1.33 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.33 c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ) ) ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.73/1.33 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Odiv( X, Y,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.73/1.33 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Odiv( X,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.73/1.33 }.
% 0.73/1.33 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Odiv( X, Y,
% 0.73/1.33 c_Groups_Oone__class_Oone( X ) ) = Y }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.73/1.33 c_Divides_Odiv__class_Odiv( tc_Nat_Onat, Y, Z ),
% 0.73/1.33 c_Divides_Odiv__class_Odiv( tc_Nat_Onat, X, Z ) ) }.
% 0.73/1.33 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.73/1.33 c_Divides_Odiv__class_Odiv( tc_Nat_Onat, Y, X ), Y ) }.
% 0.73/1.33 { ! class_Divides_Osemiring__div( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.73/1.33 , c_Divides_Odiv__class_Odiv( X, Y, Y ) = c_Groups_Oone__class_Oone( X )
% 0.73/1.33 }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.73/1.33 c_Divides_Odiv__class_Odiv( tc_Nat_Onat, Y, X ) =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.73/1.33 { ! class_Divides_Osemiring__div( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.73/1.33 , c_Divides_Odiv__class_Odiv( X, c_Groups_Oplus__class_Oplus( X, Z, Y ),
% 0.73/1.33 Y ) = c_Groups_Oplus__class_Oplus( X, c_Divides_Odiv__class_Odiv( X, Z, Y
% 0.73/1.33 ), c_Groups_Oone__class_Oone( X ) ) }.
% 0.73/1.33 { ! class_Divides_Osemiring__div( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.73/1.33 , c_Divides_Odiv__class_Odiv( X, c_Groups_Oplus__class_Oplus( X, Y, Z ),
% 0.73/1.33 Y ) = c_Groups_Oplus__class_Oplus( X, c_Divides_Odiv__class_Odiv( X, Z, Y
% 0.73/1.33 ), c_Groups_Oone__class_Oone( X ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.73/1.33 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X
% 0.73/1.33 , Y ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.73/1.33 c_Divides_Odiv__class_Odiv( tc_Nat_Onat, Z, Y ),
% 0.73/1.33 c_Divides_Odiv__class_Odiv( tc_Nat_Onat, Z, X ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oone__class_Oone(
% 0.73/1.33 tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Divides_Odiv__class_Odiv(
% 0.73/1.33 tc_Nat_Onat, Y, X ), Y ) }.
% 0.73/1.33 { c_Divides_Odiv__class_Odiv( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.73/1.33 tc_Nat_Onat, X, X ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat,
% 0.73/1.33 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) = X }.
% 0.73/1.33 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.73/1.33 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ), Z ), ! c_Orderings_Oord__class_Oless(
% 0.73/1.33 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), T ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( X, c_Power_Opower__class_Opower( X, Z, T )
% 0.73/1.33 , c_Power_Opower__class_Opower( X, Y, T ) ) }.
% 0.73/1.33 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, Z ),
% 0.73/1.33 c_Power_Opower__class_Opower( X, Y, c_Groups_Ominus__class_Ominus(
% 0.73/1.33 tc_Nat_Onat, Z, T ) ) = c_Rings_Oinverse__class_Odivide( X,
% 0.73/1.33 c_Power_Opower__class_Opower( X, Y, Z ), c_Power_Opower__class_Opower( X
% 0.73/1.33 , Y, T ) ) }.
% 0.73/1.33 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.73/1.33 ( X, c_Groups_Oone__class_Oone( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.73/1.33 ( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Z ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ),
% 0.73/1.33 c_Power_Opower__class_Opower( X, Y, Z ) ) }.
% 0.73/1.33 { c_Divides_Odiv__class_Odiv( tc_Int_Oint, c_Int_Onumber__class_Onumber__of
% 0.73/1.33 ( tc_Int_Oint, c_Int_OBit0( Y ) ), c_Int_Onumber__class_Onumber__of(
% 0.73/1.33 tc_Int_Oint, c_Int_OBit0( X ) ) ) = c_Divides_Odiv__class_Odiv(
% 0.73/1.33 tc_Int_Oint, c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) }.
% 0.73/1.33 { X = c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.73/1.33 c_Divides_Odiv__class_Odiv( tc_Int_Oint, X, X ) =
% 0.73/1.33 c_Groups_Oone__class_Oone( tc_Int_Oint ) }.
% 0.73/1.33 { c_Divides_Odiv__class_Odiv( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.73/1.33 tc_Int_Oint ), X ) = c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Divides_Odiv__class_Odiv(
% 0.73/1.33 tc_Int_Oint, X, Y ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.73/1.33 tc_Int_Oint ), Y ), c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.73/1.33 c_Divides_Odiv__class_Odiv( tc_Int_Oint, X, Y ),
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Divides_Odiv__class_Odiv(
% 0.73/1.33 tc_Int_Oint, Y, X ), c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.73/1.33 tc_Int_Oint ), Y ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.73/1.33 tc_Int_Oint ), Y ), c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.73/1.33 c_Divides_Odiv__class_Odiv( tc_Int_Oint, Y, X ),
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.73/1.33 ( tc_Int_Oint ), X ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.73/1.33 c_Divides_Odiv__class_Odiv( tc_Int_Oint, Y, X ),
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.73/1.33 ( tc_Int_Oint ), X ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Divides_Odiv__class_Odiv(
% 0.73/1.33 tc_Int_Oint, Y, X ), c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.73/1.33 { ! c_Divides_Odiv__class_Odiv( tc_Int_Oint, Y, X ) =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), alpha10( X, Y ) }.
% 0.73/1.33 { ! X = c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.73/1.33 c_Divides_Odiv__class_Odiv( tc_Int_Oint, Y, X ) =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.73/1.33 { ! alpha10( X, Y ), c_Divides_Odiv__class_Odiv( tc_Int_Oint, Y, X ) =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.73/1.33 { ! alpha10( X, Y ), alpha31( X, Y ), alpha45( X, Y ) }.
% 0.73/1.33 { ! alpha31( X, Y ), alpha10( X, Y ) }.
% 0.73/1.33 { ! alpha45( X, Y ), alpha10( X, Y ) }.
% 0.73/1.33 { ! alpha45( X, Y ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.73/1.33 { ! alpha45( X, Y ), c_Orderings_Oord__class_Oless( tc_Int_Oint, X, Y ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, Y ), alpha45( X, Y ) }.
% 0.73/1.33 { ! alpha31( X, Y ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ) }.
% 0.73/1.33 { ! alpha31( X, Y ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), alpha31( X, Y ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.73/1.33 ( tc_Int_Oint ), X ), ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Divides_Odiv__class_Odiv(
% 0.73/1.33 tc_Int_Oint, Y, X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.73/1.33 ( tc_Int_Oint ), X ), ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Divides_Odiv__class_Odiv(
% 0.73/1.33 tc_Int_Oint, Y, X ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.73/1.33 ( tc_Int_Oint ), X ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Divides_Odiv__class_Odiv(
% 0.73/1.33 tc_Int_Oint, Y, X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X
% 0.73/1.33 , Y ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.73/1.33 ( tc_Int_Oint ), X ), ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X
% 0.73/1.33 , Y ), c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Divides_Odiv__class_Odiv(
% 0.73/1.33 tc_Int_Oint, Y, X ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.73/1.33 tc_Int_Oint ), c_Divides_Odiv__class_Odiv( tc_Int_Oint, X, Y ) ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.73/1.33 tc_Int_Oint ), c_Divides_Odiv__class_Odiv( tc_Int_Oint, X, Y ) ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.73/1.33 tc_Int_Oint ), Y ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.73/1.33 tc_Int_Oint ), Y ), c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Divides_Odiv__class_Odiv(
% 0.73/1.33 tc_Int_Oint, X, Y ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.73/1.33 tc_Int_Oint ), Y ), ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y,
% 0.73/1.33 Z ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.73/1.33 c_Divides_Odiv__class_Odiv( tc_Int_Oint, X, Z ),
% 0.73/1.33 c_Divides_Odiv__class_Odiv( tc_Int_Oint, X, Y ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.73/1.33 c_Divides_Odiv__class_Odiv( tc_Int_Oint, X, Y ),
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, Y ),
% 0.73/1.33 c_Divides_Odiv__class_Odiv( tc_Int_Oint, X, Y ) =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Divides_Odiv__class_Odiv(
% 0.73/1.33 tc_Int_Oint, Y, X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y
% 0.73/1.33 , c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Divides_Odiv__class_Odiv(
% 0.73/1.33 tc_Int_Oint, Y, X ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.73/1.33 tc_Int_Oint ), Y ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.73/1.33 c_Divides_Odiv__class_Odiv( tc_Int_Oint, X, Y ),
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.73/1.33 tc_Int_Oint ), Y ), ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y,
% 0.73/1.33 Z ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.73/1.33 c_Divides_Odiv__class_Odiv( tc_Int_Oint, X, Y ),
% 0.73/1.33 c_Divides_Odiv__class_Odiv( tc_Int_Oint, X, Z ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.73/1.33 c_Divides_Odiv__class_Odiv( tc_Int_Oint, X, Y ) =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.73/1.33 tc_Int_Oint ), Z ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.73/1.33 c_Divides_Odiv__class_Odiv( tc_Int_Oint, Y, Z ),
% 0.73/1.33 c_Divides_Odiv__class_Odiv( tc_Int_Oint, X, Z ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Int_Oint, Z,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.73/1.33 c_Divides_Odiv__class_Odiv( tc_Int_Oint, X, Z ),
% 0.73/1.33 c_Divides_Odiv__class_Odiv( tc_Int_Oint, Y, Z ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.73/1.33 ( tc_Int_Oint ), X ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.73/1.33 c_Groups_Oone__class_Oone( tc_Int_Oint ), Y ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Divides_Odiv__class_Odiv(
% 0.73/1.33 tc_Int_Oint, X, Y ), X ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ) ),
% 0.73/1.33 c_Divides_Odiv__class_Odiv( tc_Int_Oint, c_Int_Onumber__class_Onumber__of
% 0.73/1.33 ( tc_Int_Oint, c_Int_OBit1( X ) ), c_Int_Onumber__class_Onumber__of(
% 0.73/1.33 tc_Int_Oint, c_Int_OBit0( Y ) ) ) = c_Divides_Odiv__class_Odiv(
% 0.73/1.33 tc_Int_Oint, c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ),
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ) ) }.
% 0.73/1.33 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ) ),
% 0.73/1.33 c_Divides_Odiv__class_Odiv( tc_Int_Oint, c_Int_Onumber__class_Onumber__of
% 0.73/1.33 ( tc_Int_Oint, c_Int_OBit1( X ) ), c_Int_Onumber__class_Onumber__of(
% 0.73/1.33 tc_Int_Oint, c_Int_OBit0( Y ) ) ) = c_Divides_Odiv__class_Odiv(
% 0.73/1.33 tc_Int_Oint, c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ),
% 0.73/1.33 c_Groups_Oone__class_Oone( tc_Int_Oint ) ),
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ) ) }.
% 0.73/1.33 { ! class_Rings_Oring__1__no__zero__divisors( X ), Y =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ), ! c_Power_Opower__class_Opower( X, Y, Z
% 0.73/1.33 ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.73/1.33 { ! class_Groups_Omonoid__mult( X ), c_Power_Opower__class_Opower( X,
% 0.73/1.33 c_Groups_Oone__class_Oone( X ), Y ) = c_Groups_Oone__class_Oone( X ) }.
% 0.73/1.33 { ! class_Fields_Ofield__inverse__zero( X ), c_Power_Opower__class_Opower(
% 0.73/1.33 X, c_Rings_Oinverse__class_Odivide( X, T, Z ), Y ) =
% 0.73/1.33 c_Rings_Oinverse__class_Odivide( X, c_Power_Opower__class_Opower( X, T, Y
% 0.73/1.33 ), c_Power_Opower__class_Opower( X, Z, Y ) ) }.
% 0.73/1.33 { ! class_Rings_Olinordered__idom( X ), c_Groups_Oabs__class_Oabs( X,
% 0.73/1.33 c_Power_Opower__class_Opower( X, Z, Y ) ) = c_Power_Opower__class_Opower
% 0.73/1.33 ( X, c_Groups_Oabs__class_Oabs( X, Z ), Y ) }.
% 0.73/1.33 { ! class_Groups_Omonoid__mult( X ), c_Power_Opower__class_Opower( X, Y,
% 0.73/1.33 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) = Y }.
% 0.73/1.33 { ! class_Rings_Olinordered__semidom( X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.73/1.33 ), c_Orderings_Oord__class_Oless__eq( X, c_Power_Opower__class_Opower( X
% 0.73/1.33 , Z, T ), c_Power_Opower__class_Opower( X, Y, T ) ) }.
% 0.73/1.33 { ! class_Rings_Olinordered__semidom( X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.73/1.33 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.73/1.33 ), c_Power_Opower__class_Opower( X, Y, Z ) ) }.
% 0.73/1.33 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.73/1.33 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless
% 0.73/1.33 ( X, c_Groups_Ozero__class_Ozero( X ), c_Power_Opower__class_Opower( X, Y
% 0.73/1.33 , Z ) ) }.
% 0.73/1.33 { ! class_Rings_Olinordered__semidom( X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ), Y )
% 0.73/1.33 , c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ),
% 0.73/1.33 c_Power_Opower__class_Opower( X, Y, Z ) ) }.
% 0.73/1.33 { ! class_Power_Opower( X ), ! class_Rings_Omult__zero( X ), !
% 0.73/1.33 class_Rings_Ono__zero__divisors( X ), ! class_Rings_Ozero__neq__one( X )
% 0.73/1.33 , ! c_Power_Opower__class_Opower( X, Z, Y ) = c_Groups_Ozero__class_Ozero
% 0.73/1.33 ( X ), Z = c_Groups_Ozero__class_Ozero( X ) }.
% 0.73/1.33 { ! class_Power_Opower( X ), ! class_Rings_Omult__zero( X ), !
% 0.73/1.33 class_Rings_Ono__zero__divisors( X ), ! class_Rings_Ozero__neq__one( X )
% 0.73/1.33 , ! c_Power_Opower__class_Opower( X, Z, Y ) = c_Groups_Ozero__class_Ozero
% 0.73/1.33 ( X ), ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.73/1.33 { ! class_Power_Opower( X ), ! class_Rings_Omult__zero( X ), !
% 0.73/1.33 class_Rings_Ono__zero__divisors( X ), ! class_Rings_Ozero__neq__one( X )
% 0.73/1.33 , ! Z = c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero
% 0.73/1.33 ( tc_Nat_Onat ), c_Power_Opower__class_Opower( X, Z, Y ) =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ) }.
% 0.73/1.33 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.73/1.33 ( X, c_Groups_Oone__class_Oone( X ), Y ), ! c_Power_Opower__class_Opower
% 0.73/1.33 ( X, Y, T ) = c_Power_Opower__class_Opower( X, Y, Z ), T = Z }.
% 0.73/1.33 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.73/1.33 ( X, c_Groups_Oone__class_Oone( X ), Y ), ! T = Z,
% 0.73/1.33 c_Power_Opower__class_Opower( X, Y, T ) = c_Power_Opower__class_Opower( X
% 0.73/1.33 , Y, Z ) }.
% 0.73/1.33 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.73/1.33 c_Power_Opower__class_Opower( X, c_Rings_Oinverse__class_Odivide( X, T, Y
% 0.73/1.33 ), Z ) = c_Rings_Oinverse__class_Odivide( X,
% 0.73/1.33 c_Power_Opower__class_Opower( X, T, Z ), c_Power_Opower__class_Opower( X
% 0.73/1.33 , Y, Z ) ) }.
% 0.73/1.33 { ! class_Power_Opower( X ), c_Power_Opower__class_Opower( X, Y,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) = c_Groups_Oone__class_Oone
% 0.73/1.33 ( X ) }.
% 0.73/1.33 { ! class_Fields_Ofield__inverse__zero( X ),
% 0.73/1.33 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oone__class_Oone( X ),
% 0.73/1.33 c_Power_Opower__class_Opower( X, Z, Y ) ) = c_Power_Opower__class_Opower
% 0.73/1.33 ( X, c_Rings_Oinverse__class_Odivide( X, c_Groups_Oone__class_Oone( X ),
% 0.73/1.33 Z ), Y ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.73/1.33 ( tc_Nat_Onat ), c_Power_Opower__class_Opower( tc_Nat_Onat, Y, X ) ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.73/1.33 tc_Nat_Onat ), Y ), X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.73/1.33 ( tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Power_Opower__class_Opower
% 0.73/1.33 ( tc_Nat_Onat, Y, X ) ) }.
% 0.73/1.33 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.73/1.33 tc_Nat_Onat ), c_Power_Opower__class_Opower( tc_Nat_Onat, Y, X ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.73/1.33 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.73/1.33 c_Power_Opower__class_Opower( tc_Nat_Onat, X, Z ),
% 0.73/1.33 c_Power_Opower__class_Opower( tc_Nat_Onat, X, Y ) ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y ) }.
% 0.73/1.33 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.73/1.33 ( X, c_Power_Opower__class_Opower( X, Z, T ),
% 0.73/1.33 c_Power_Opower__class_Opower( X, Y, T ) ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.73/1.33 ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.73/1.33 { ! class_Power_Opower( X ), ! class_Rings_Osemiring__0( X ), ! Y =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Power_Opower__class_Opower
% 0.73/1.33 ( X, c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Oone__class_Oone( X
% 0.73/1.33 ) }.
% 0.73/1.33 { ! class_Power_Opower( X ), ! class_Rings_Osemiring__0( X ), Y =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Power_Opower__class_Opower
% 0.73/1.33 ( X, c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ozero__class_Ozero
% 0.73/1.33 ( X ) }.
% 0.73/1.33 { ! class_Rings_Olinordered__idom( X ), c_Orderings_Oord__class_Oless__eq(
% 0.73/1.33 X, c_Groups_Ozero__class_Ozero( X ), c_Power_Opower__class_Opower( X,
% 0.73/1.33 c_Groups_Oabs__class_Oabs( X, Z ), Y ) ) }.
% 0.73/1.33 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.73/1.33 ( tc_Nat_Onat, Z, Y ), ! c_Orderings_Oord__class_Oless( X,
% 0.73/1.33 c_Groups_Oone__class_Oone( X ), T ), c_Orderings_Oord__class_Oless( X,
% 0.73/1.33 c_Power_Opower__class_Opower( X, T, Z ), c_Power_Opower__class_Opower( X
% 0.73/1.33 , T, Y ) ) }.
% 0.73/1.33 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.73/1.33 ( X, c_Groups_Oone__class_Oone( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.73/1.33 ( X, c_Power_Opower__class_Opower( X, Y, T ),
% 0.73/1.33 c_Power_Opower__class_Opower( X, Y, Z ) ), c_Orderings_Oord__class_Oless
% 0.73/1.33 ( tc_Nat_Onat, T, Z ) }.
% 0.73/1.33 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.73/1.33 ( X, c_Groups_Oone__class_Oone( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.73/1.33 ( X, c_Power_Opower__class_Opower( X, Y, T ),
% 0.73/1.33 c_Power_Opower__class_Opower( X, Y, Z ) ), c_Orderings_Oord__class_Oless
% 0.73/1.33 ( tc_Nat_Onat, T, Z ) }.
% 0.73/1.33 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.73/1.33 ( X, c_Groups_Oone__class_Oone( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.73/1.33 ( tc_Nat_Onat, T, Z ), c_Orderings_Oord__class_Oless( X,
% 0.73/1.33 c_Power_Opower__class_Opower( X, Y, T ), c_Power_Opower__class_Opower( X
% 0.73/1.33 , Y, Z ) ) }.
% 0.73/1.33 { ! class_Rings_Olinordered__semidom( X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, Y ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ), T )
% 0.73/1.33 , c_Orderings_Oord__class_Oless__eq( X, c_Power_Opower__class_Opower( X,
% 0.73/1.33 T, Z ), c_Power_Opower__class_Opower( X, T, Y ) ) }.
% 0.73/1.33 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.73/1.33 ( tc_Nat_Onat, Z, Y ), ! c_Orderings_Oord__class_Oless( X,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ), T ), ! c_Orderings_Oord__class_Oless( X
% 0.73/1.33 , T, c_Groups_Oone__class_Oone( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.73/1.33 c_Power_Opower__class_Opower( X, T, Y ), c_Power_Opower__class_Opower( X
% 0.73/1.33 , T, Z ) ) }.
% 0.73/1.33 { ! class_Rings_Olinordered__semidom( X ), ! c_Power_Opower__class_Opower(
% 0.73/1.33 X, T, Z ) = c_Power_Opower__class_Opower( X, Y, Z ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.73/1.33 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.73/1.33 X ), Y ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Z ), T = Y }.
% 0.73/1.33 { ! class_Rings_Olinordered__semidom( X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, Y ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.73/1.33 ), ! c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Oone__class_Oone
% 0.73/1.33 ( X ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.73/1.33 c_Power_Opower__class_Opower( X, T, Y ), c_Power_Opower__class_Opower( X
% 0.73/1.33 , T, Z ) ) }.
% 0.73/1.33 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.73/1.33 ( X, c_Groups_Oone__class_Oone( X ), Y ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, c_Power_Opower__class_Opower( X, Y
% 0.73/1.33 , T ), c_Power_Opower__class_Opower( X, Y, Z ) ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, Z ) }.
% 0.73/1.33 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.73/1.33 ( X, c_Groups_Oone__class_Oone( X ), Y ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, Z ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, c_Power_Opower__class_Opower( X, Y
% 0.73/1.33 , T ), c_Power_Opower__class_Opower( X, Y, Z ) ) }.
% 0.73/1.33 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.73/1.33 ( X, c_Groups_Oone__class_Oone( X ), Y ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, c_Power_Opower__class_Opower( X, Y
% 0.73/1.33 , T ), c_Power_Opower__class_Opower( X, Y, Z ) ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, Z ) }.
% 0.73/1.33 { c_Power_Opower__class_Opower( tc_Complex_Ocomplex,
% 0.73/1.33 c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt( X ),
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ) ) ) = X }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y,
% 0.73/1.33 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.73/1.33 c_Int_OBit1( c_Int_OPls ) ) ) ) ), ! c_Orderings_Oord__class_Oless(
% 0.73/1.33 tc_RealDef_Oreal, Z, c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X
% 0.73/1.33 , c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.73/1.33 c_Int_OBit1( c_Int_OPls ) ) ) ) ), ! c_Orderings_Oord__class_Oless__eq(
% 0.73/1.33 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Z ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_NthRoot_Osqrt(
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.73/1.33 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, Z,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ) ) ) ) ), X ) }.
% 0.73/1.33 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.73/1.33 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, c_NthRoot_Osqrt(
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.73/1.33 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ) ) ) ) ) ) ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal )
% 0.73/1.33 ) }.
% 0.73/1.33 { ! c_NthRoot_Osqrt( X ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal )
% 0.73/1.33 , X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.73/1.33 { ! X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X
% 0.73/1.33 ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.73/1.33 { c_NthRoot_Osqrt( c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), ! c_NthRoot_Osqrt(
% 0.73/1.33 X ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X ) ) }
% 0.73/1.33 .
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_NthRoot_Osqrt( X
% 0.73/1.33 ), c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_NthRoot_Osqrt( X )
% 0.73/1.33 , c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X ) ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X ) ) }
% 0.73/1.33 .
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X ) ) }
% 0.73/1.33 .
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), ! c_NthRoot_Osqrt(
% 0.73/1.33 X ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_NthRoot_Osqrt( X ),
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_NthRoot_Osqrt( X ),
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X ) ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X ) ) }
% 0.73/1.33 .
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X ) ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_NthRoot_Osqrt( X
% 0.73/1.33 ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.73/1.33 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.73/1.33 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_NthRoot_Osqrt( X )
% 0.73/1.33 , c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X ) ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_NthRoot_Osqrt( X ),
% 0.73/1.33 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.73/1.33 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.73/1.33 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_NthRoot_Osqrt( X ),
% 0.73/1.33 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.73/1.33 { ! c_NthRoot_Osqrt( Y ) = c_NthRoot_Osqrt( X ), Y = X }.
% 0.73/1.33 { ! Y = X, c_NthRoot_Osqrt( Y ) = c_NthRoot_Osqrt( X ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_NthRoot_Osqrt( Y
% 0.73/1.33 ), c_NthRoot_Osqrt( X ) ), c_Orderings_Oord__class_Oless__eq(
% 0.73/1.33 tc_RealDef_Oreal, Y, X ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_NthRoot_Osqrt( Y )
% 0.73/1.33 , c_NthRoot_Osqrt( X ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_NthRoot_Osqrt( Y )
% 0.73/1.33 , c_NthRoot_Osqrt( X ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_NthRoot_Osqrt( Y ),
% 0.73/1.33 c_NthRoot_Osqrt( X ) ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.33 Y, X ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_NthRoot_Osqrt( Y ),
% 0.73/1.33 c_NthRoot_Osqrt( X ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_NthRoot_Osqrt( Y ),
% 0.73/1.33 c_NthRoot_Osqrt( X ) ) }.
% 0.73/1.33 { c_NthRoot_Osqrt( c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X
% 0.73/1.33 ) ) = c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_NthRoot_Osqrt
% 0.73/1.33 ( Y ), c_NthRoot_Osqrt( X ) ) }.
% 0.73/1.33 { c_NthRoot_Osqrt( c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) =
% 0.73/1.33 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.73/1.33 { ! c_NthRoot_Osqrt( X ) = c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X
% 0.73/1.33 = c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.73/1.33 { ! X = c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X )
% 0.73/1.33 = c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.73/1.33 { c_NthRoot_Osqrt( c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y, X ) )
% 0.73/1.33 = c_Power_Opower__class_Opower( tc_RealDef_Oreal, c_NthRoot_Osqrt( Y ),
% 0.73/1.33 X ) }.
% 0.73/1.33 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_NthRoot_Osqrt(
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.73/1.33 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.73/1.33 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_NthRoot_Osqrt(
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.73/1.33 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.73/1.33 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_NthRoot_Osqrt(
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.73/1.33 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.73/1.33 { c_NthRoot_Osqrt( c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ) ) ) ) = c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) }
% 0.73/1.33 .
% 0.73/1.33 { ! c_Power_Opower__class_Opower( tc_RealDef_Oreal, c_NthRoot_Osqrt( X ),
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ) ) ) = X, c_Orderings_Oord__class_Oless__eq(
% 0.73/1.33 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ) }
% 0.73/1.33 .
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.73/1.33 c_Power_Opower__class_Opower( tc_RealDef_Oreal, c_NthRoot_Osqrt( X ),
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ) ) ) = X }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.73/1.33 c_Power_Opower__class_Opower( tc_RealDef_Oreal, c_NthRoot_Osqrt( X ),
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ) ) ) = X }.
% 0.73/1.33 { ! c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ) ) ) = X, ! c_Orderings_Oord__class_Oless__eq(
% 0.73/1.33 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ),
% 0.73/1.33 c_NthRoot_Osqrt( X ) = Y }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.73/1.33 c_Power_Opower__class_Opower( tc_RealDef_Oreal, c_NthRoot_Osqrt( X ),
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ) ) ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.73/1.33 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.33 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X, c_NthRoot_Osqrt(
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.73/1.33 c_Int_OBit1( c_Int_OPls ) ) ) ) ), X ) }.
% 0.73/1.33 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_NthRoot_Osqrt(
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.73/1.33 c_Power_Opower__class_Opower( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, T, Z ),
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ) ) ) ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.73/1.33 c_NthRoot_Osqrt( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.73/1.33 c_Power_Opower__class_Opower( tc_RealDef_Oreal, T,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ) ) ) ) ), c_NthRoot_Osqrt( c_Groups_Oplus__class_Oplus(
% 0.73/1.33 tc_RealDef_Oreal, c_Power_Opower__class_Opower( tc_RealDef_Oreal, Z,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ) ) ) ) ) ) ) }.
% 0.73/1.33 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, c_NthRoot_Osqrt(
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.73/1.33 c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ) ) ) ) ) ) }.
% 0.73/1.33 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, c_NthRoot_Osqrt(
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.73/1.33 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ) ) ) ) ) ) }.
% 0.73/1.33 { ! c_NthRoot_Osqrt( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.73/1.33 c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ) ) ) ) ) = Y, X = c_Groups_Ozero__class_Ozero(
% 0.73/1.33 tc_RealDef_Oreal ) }.
% 0.73/1.33 { ! c_NthRoot_Osqrt( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.73/1.33 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ) ) ) ) ) = Y, X = c_Groups_Ozero__class_Ozero(
% 0.73/1.33 tc_RealDef_Oreal ) }.
% 0.73/1.33 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_NthRoot_Osqrt(
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.73/1.33 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ) ) ) ) ) ) }.
% 0.73/1.33 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Y ), c_NthRoot_Osqrt(
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.73/1.33 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ) ) ) ) ) ) }.
% 0.73/1.33 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Y ), c_NthRoot_Osqrt(
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.73/1.33 c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ) ) ) ) ) ) }.
% 0.73/1.33 { c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.73/1.33 c_Complex_Ocomplex_OComplex( Y, X ) ) = c_NthRoot_Osqrt(
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.73/1.33 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ) ) ) ) ) }.
% 0.73/1.33 { c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ) =
% 0.73/1.33 c_NthRoot_Osqrt( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.73/1.33 c_Power_Opower__class_Opower( tc_RealDef_Oreal, c_Complex_ORe( X ),
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal,
% 0.73/1.33 c_Complex_OIm( X ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat,
% 0.73/1.33 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Y ),
% 0.73/1.33 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X, c_NthRoot_Osqrt(
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.73/1.33 c_Int_OBit1( c_Int_OPls ) ) ) ) ) ), ! c_Orderings_Oord__class_Oless(
% 0.73/1.33 tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Z ),
% 0.73/1.33 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X, c_NthRoot_Osqrt(
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.73/1.33 c_Int_OBit1( c_Int_OPls ) ) ) ) ) ), c_Orderings_Oord__class_Oless(
% 0.73/1.33 tc_RealDef_Oreal, c_NthRoot_Osqrt( c_Groups_Oplus__class_Oplus(
% 0.73/1.33 tc_RealDef_Oreal, c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, Z,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ) ) ) ) ), X ) }.
% 0.73/1.33 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_NthRoot_Osqrt(
% 0.73/1.33 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.73/1.33 c_Power_Opower__class_Opower( tc_RealDef_Oreal, T,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, Z,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ) ) ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.73/1.33 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.73/1.33 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.73/1.33 c_Int_OPls ) ) ) ) ) ) ) ) }.
% 0.73/1.33 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), c_Divides_Odiv__class_Odiv
% 0.73/1.33 ( tc_Int_Oint, c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.73/1.33 c_Groups_Oone__class_Oone( tc_Int_Oint ), c_Groups_Otimes__class_Otimes(
% 0.73/1.33 tc_Int_Oint, c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit0(
% 0.73/1.33 c_Int_OBit1( c_Int_OPls ) ) ), Y ) ), c_Groups_Otimes__class_Otimes(
% 0.73/1.33 tc_Int_Oint, c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit0(
% 0.73/1.33 c_Int_OBit1( c_Int_OPls ) ) ), X ) ) = c_Divides_Odiv__class_Odiv(
% 0.73/1.33 tc_Int_Oint, c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y,
% 0.73/1.33 c_Groups_Oone__class_Oone( tc_Int_Oint ) ), X ) }.
% 0.73/1.33 { ! class_Groups_Omonoid__mult( X ), c_Groups_Otimes__class_Otimes( X,
% 0.73/1.33 c_Power_Opower__class_Opower( X, Z, Y ), Z ) =
% 0.73/1.33 c_Groups_Otimes__class_Otimes( X, Z, c_Power_Opower__class_Opower( X, Z,
% 0.73/1.33 Y ) ) }.
% 0.73/1.33 { ! class_Groups_Ocomm__monoid__mult( X ), c_Power_Opower__class_Opower( X
% 0.73/1.33 , c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) =
% 0.73/1.33 c_Groups_Otimes__class_Otimes( X, c_Power_Opower__class_Opower( X, T, Y )
% 0.73/1.33 , c_Power_Opower__class_Opower( X, Z, Y ) ) }.
% 0.73/1.33 { ! class_Divides_Osemiring__div( X ), ! T = c_Groups_Ozero__class_Ozero( X
% 0.73/1.33 ), c_Divides_Odiv__class_Odiv( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.73/1.33 ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ) }.
% 0.73/1.33 { ! class_Divides_Osemiring__div( X ), T = c_Groups_Ozero__class_Ozero( X )
% 0.73/1.33 , c_Divides_Odiv__class_Odiv( X, c_Groups_Otimes__class_Otimes( X, T, Z )
% 0.73/1.33 , c_Groups_Otimes__class_Otimes( X, T, Y ) ) = c_Divides_Odiv__class_Odiv
% 0.73/1.33 ( X, Z, Y ) }.
% 0.73/1.33 { ! class_Divides_Osemiring__div( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.73/1.33 , c_Divides_Odiv__class_Odiv( X, c_Groups_Otimes__class_Otimes( X, Z, Y )
% 0.73/1.33 , Y ) = Z }.
% 0.73/1.33 { ! class_Divides_Osemiring__div( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.73/1.33 , c_Divides_Odiv__class_Odiv( X, c_Groups_Otimes__class_Otimes( X, Y, Z )
% 0.73/1.33 , Y ) = Z }.
% 0.73/1.33 { ! class_Divides_Osemiring__div( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.73/1.33 , c_Divides_Odiv__class_Odiv( X, c_Groups_Otimes__class_Otimes( X, T, Y )
% 0.73/1.33 , c_Groups_Otimes__class_Otimes( X, Z, Y ) ) = c_Divides_Odiv__class_Odiv
% 0.73/1.33 ( X, T, Z ) }.
% 0.73/1.33 { ! class_Divides_Osemiring__div( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.73/1.33 , c_Divides_Odiv__class_Odiv( X, c_Groups_Otimes__class_Otimes( X, Y, T )
% 0.73/1.33 , c_Groups_Otimes__class_Otimes( X, Y, Z ) ) = c_Divides_Odiv__class_Odiv
% 0.73/1.33 ( X, T, Z ) }.
% 0.73/1.33 { ! class_Groups_Omonoid__mult( X ), c_Power_Opower__class_Opower( X, T,
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) ) =
% 0.73/1.33 c_Groups_Otimes__class_Otimes( X, c_Power_Opower__class_Opower( X, T, Z )
% 0.73/1.33 , c_Power_Opower__class_Opower( X, T, Y ) ) }.
% 0.73/1.33 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.73/1.33 c_Power_Opower__class_Opower( X, T, Z ), c_Power_Opower__class_Opower( X
% 0.73/1.33 , T, Y ) ) = c_Power_Opower__class_Opower( X, T,
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) ) }.
% 0.73/1.33 { c_NthRoot_Osqrt( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X )
% 0.73/1.33 ) = c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, c_NthRoot_Osqrt( Y
% 0.73/1.33 ), c_NthRoot_Osqrt( X ) ) }.
% 0.73/1.33 { c_NthRoot_Osqrt( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X )
% 0.73/1.33 ) = c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) }.
% 0.73/1.33 { ! class_Rings_Ocomm__semiring__1( X ), c_Power_Opower__class_Opower( X,
% 0.73/1.33 c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) =
% 0.73/1.33 c_Groups_Otimes__class_Otimes( X, c_Power_Opower__class_Opower( X, T, Y )
% 0.73/1.33 , c_Power_Opower__class_Opower( X, Z, Y ) ) }.
% 0.73/1.33 { ! c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ),
% 0.73/1.33 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.73/1.33 { ! c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ),
% 0.73/1.33 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.73/1.33 { ! Y = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! X =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.73/1.33 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ),
% 0.73/1.33 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) =
% 0.73/1.33 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.73/1.33 { c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, hAPP( Z, Y ),
% 0.73/1.33 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.73/1.33 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, hAPP( Z, X ), hAPP( Z, Y
% 0.73/1.33 ) ), c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X, Y ) ), Y ) ) =
% 0.73/1.33 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, hAPP( Z, X ),
% 0.73/1.33 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.73/1.33 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.73/1.33 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, hAPP( Z, X ), hAPP( Z, Y
% 0.73/1.33 ) ), c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X, Y ) ), X ) ) }
% 0.73/1.33 .
% 0.73/1.33 { ! c_Groups_Oabs__class_Oabs( tc_Int_Oint, c_Groups_Otimes__class_Otimes(
% 0.73/1.33 tc_Int_Oint, X, Y ) ) = c_Groups_Oone__class_Oone( tc_Int_Oint ),
% 0.73/1.33 c_Groups_Oabs__class_Oabs( tc_Int_Oint, X ) = c_Groups_Oone__class_Oone(
% 0.73/1.33 tc_Int_Oint ) }.
% 0.73/1.33 { c_Power_Opower__class_Opower( tc_Int_Oint, Z, c_Groups_Oplus__class_Oplus
% 0.73/1.33 ( tc_Nat_Onat, Y, X ) ) = c_Groups_Otimes__class_Otimes( tc_Int_Oint,
% 0.73/1.33 c_Power_Opower__class_Opower( tc_Int_Oint, Z, Y ),
% 0.73/1.33 c_Power_Opower__class_Opower( tc_Int_Oint, Z, X ) ) }.
% 0.73/1.33 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.73/1.33 ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.73/1.33 , c_Groups_Otimes__class_Otimes( X, Z, Y ), c_Groups_Ozero__class_Ozero(
% 0.73/1.33 X ) ) }.
% 0.73/1.33 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X )
% 0.73/1.33 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.73/1.33 X ), Y ), c_Orderings_Oord__class_Oless__eq( X,
% 0.73/1.33 c_Groups_Otimes__class_Otimes( X, Z, Y ), c_Groups_Ozero__class_Ozero( X
% 0.73/1.33 ) ) }.
% 0.73/1.33 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.73/1.33 , c_Groups_Ozero__class_Ozero( X ), Z ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.73/1.33 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.73/1.33 ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.73/1.33 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.73/1.33 , Z, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.73/1.33 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.73/1.33 ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.73/1.33 { ! class_Rings_Oordered__semiring( X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, U, T ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.73/1.33 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.73/1.33 X ), U ), c_Orderings_Oord__class_Oless__eq( X,
% 0.73/1.33 c_Groups_Otimes__class_Otimes( X, Z, U ), c_Groups_Otimes__class_Otimes(
% 0.73/1.33 X, Y, T ) ) }.
% 0.73/1.33 { ! class_Rings_Oordered__semiring( X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, U, T ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.73/1.33 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.73/1.33 X ), U ), c_Orderings_Oord__class_Oless__eq( X,
% 0.73/1.33 c_Groups_Otimes__class_Otimes( X, Z, U ), c_Groups_Otimes__class_Otimes(
% 0.73/1.33 X, Y, T ) ) }.
% 0.73/1.33 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.73/1.33 , Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, T,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.73/1.33 , c_Groups_Otimes__class_Otimes( X, T, Y ), c_Groups_Otimes__class_Otimes
% 0.73/1.33 ( X, T, Z ) ) }.
% 0.73/1.33 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.73/1.33 , Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, T,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.73/1.33 , c_Groups_Otimes__class_Otimes( X, Y, T ), c_Groups_Otimes__class_Otimes
% 0.73/1.33 ( X, Z, T ) ) }.
% 0.73/1.33 { ! class_Rings_Oordered__comm__semiring( X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.73/1.33 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes(
% 0.73/1.33 X, T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.73/1.33 { ! class_Rings_Oordered__semiring( X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.73/1.33 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes(
% 0.73/1.33 X, T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.73/1.33 { ! class_Rings_Oordered__semiring( X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.73/1.33 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes(
% 0.73/1.33 X, Z, T ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.73/1.33 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.73/1.33 , Y, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X )
% 0.73/1.33 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.73/1.33 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.73/1.33 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.73/1.33 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.73/1.33 X ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.73/1.33 c_Groups_Otimes__class_Otimes( X, Y, Z ), c_Groups_Ozero__class_Ozero( X
% 0.73/1.33 ) ) }.
% 0.73/1.33 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.73/1.33 ), ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.73/1.33 , c_Groups_Otimes__class_Otimes( X, Z, Y ), c_Groups_Ozero__class_Ozero(
% 0.73/1.33 X ) ) }.
% 0.73/1.33 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.73/1.33 ), ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.73/1.33 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.73/1.33 , c_Groups_Otimes__class_Otimes( X, Y, Z ), c_Groups_Ozero__class_Ozero(
% 0.73/1.33 X ) ) }.
% 0.73/1.33 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.73/1.33 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.73/1.33 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.73/1.34 X ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Y, Z
% 0.73/1.34 ) ) }.
% 0.73/1.34 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.73/1.34 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.73/1.34 , Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha11( X, Y, Z ), alpha32( X
% 0.73/1.34 , Y, Z ) }.
% 0.73/1.34 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha11( X, Y, Z ),
% 0.73/1.34 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.73/1.34 , Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.73/1.34 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha32( X, Y, Z ),
% 0.73/1.34 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.73/1.34 , Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.73/1.34 { ! alpha32( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.73/1.34 { ! alpha32( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.73/1.34 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.73/1.34 ) ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero
% 0.73/1.34 ( X ), Y ), alpha32( X, Y, Z ) }.
% 0.73/1.34 { ! alpha11( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.73/1.34 { ! alpha11( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.73/1.34 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.73/1.34 , Z ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ) ), alpha11( X, Y, Z ) }.
% 0.73/1.34 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.73/1.34 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, Z, Y ) ), alpha12( X, Y, Z ), alpha33(
% 0.73/1.34 X, Y, Z ) }.
% 0.73/1.34 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha12( X, Y, Z ),
% 0.73/1.34 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.73/1.34 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha33( X, Y, Z ),
% 0.73/1.34 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.73/1.34 { ! alpha33( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.73/1.34 { ! alpha33( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.73/1.34 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.73/1.34 ) ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ) ), alpha33( X, Y, Z ) }.
% 0.73/1.34 { ! alpha12( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.73/1.34 { ! alpha12( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.73/1.34 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.73/1.34 , Z ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ), Y ), alpha12( X, Y, Z ) }.
% 0.73/1.34 { ! class_Rings_Olinordered__ring( X ), c_Orderings_Oord__class_Oless__eq(
% 0.73/1.34 X, c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Y
% 0.73/1.34 , Y ) ) }.
% 0.73/1.34 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.73/1.34 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.73/1.34 ( X, T, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 0.73/1.34 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ),
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, T, Z ) ) }.
% 0.73/1.34 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.73/1.34 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.73/1.34 ( X, T, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 0.73/1.34 ( X, c_Groups_Otimes__class_Otimes( X, Y, T ),
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, Z, T ) ) }.
% 0.73/1.34 { ! class_Rings_Olinordered__comm__semiring__strict( X ), !
% 0.73/1.34 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.73/1.34 ( X, c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless
% 0.73/1.34 ( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.73/1.34 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.73/1.34 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.73/1.34 ( X, c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless
% 0.73/1.34 ( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.73/1.34 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.73/1.34 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.73/1.34 ( X, c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless
% 0.73/1.34 ( X, c_Groups_Otimes__class_Otimes( X, Z, T ),
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.73/1.34 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.73/1.34 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.73/1.34 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.73/1.34 , c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.73/1.34 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.73/1.34 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.73/1.34 ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.73/1.34 , c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.73/1.34 Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.73/1.34 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.73/1.34 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.73/1.34 ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.73/1.34 T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 0.73/1.34 c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.73/1.34 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.73/1.34 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.73/1.34 ! c_Orderings_Oord__class_Oless( X, Z, T ), c_Orderings_Oord__class_Oless
% 0.73/1.34 ( X, c_Groups_Otimes__class_Otimes( X, Y, T ),
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.73/1.34 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.73/1.34 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, Z, Y ) ), !
% 0.73/1.34 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.73/1.34 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ) }
% 0.73/1.34 .
% 0.73/1.34 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.73/1.34 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, Z, Y ) ), !
% 0.73/1.34 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.73/1.34 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ) }
% 0.73/1.34 .
% 0.73/1.34 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.73/1.34 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.73/1.34 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.73/1.34 , c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z,
% 0.73/1.34 Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.73/1.34 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.73/1.34 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.73/1.34 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.73/1.34 , c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.73/1.34 Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.73/1.34 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.73/1.34 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.73/1.34 ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.73/1.34 , c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.73/1.34 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.73/1.34 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.73/1.34 ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.73/1.34 T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 0.73/1.34 c_Orderings_Oord__class_Oless( X, T, Z ) }.
% 0.73/1.34 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.73/1.34 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.73/1.34 ! c_Orderings_Oord__class_Oless( X, T, Z ), c_Orderings_Oord__class_Oless
% 0.73/1.34 ( X, c_Groups_Otimes__class_Otimes( X, Y, T ),
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.73/1.34 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.73/1.34 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.73/1.34 ), c_Groups_Otimes__class_Otimes( X, T, Y ) ), alpha13( X, Y, Z, T ),
% 0.73/1.34 alpha34( X, Y, Z, T ) }.
% 0.73/1.34 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha13( X, Y, Z, T ),
% 0.73/1.34 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.73/1.34 ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.73/1.34 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha34( X, Y, Z, T ),
% 0.73/1.34 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.73/1.34 ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.73/1.34 { ! alpha34( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, T,
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.73/1.34 { ! alpha34( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.73/1.34 { ! c_Orderings_Oord__class_Oless( X, T, c_Groups_Ozero__class_Ozero( X ) )
% 0.73/1.34 , ! c_Orderings_Oord__class_Oless( X, Y, Z ), alpha34( X, Y, Z, T ) }.
% 0.73/1.34 { ! alpha13( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ), T ) }.
% 0.73/1.34 { ! alpha13( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.73/1.34 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T )
% 0.73/1.34 , ! c_Orderings_Oord__class_Oless( X, Z, Y ), alpha13( X, Y, Z, T ) }.
% 0.73/1.34 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.73/1.34 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.73/1.34 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ), alpha14( X, Y, Z, T ),
% 0.73/1.34 alpha35( X, Y, Z, T ) }.
% 0.73/1.34 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha14( X, Y, Z, T ),
% 0.73/1.34 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.73/1.34 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.73/1.34 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha35( X, Y, Z, T ),
% 0.73/1.34 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.73/1.34 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.73/1.34 { ! alpha35( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, Z,
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.73/1.34 { ! alpha35( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, Y, T ) }.
% 0.73/1.34 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.73/1.34 , ! c_Orderings_Oord__class_Oless( X, Y, T ), alpha35( X, Y, Z, T ) }.
% 0.73/1.34 { ! alpha14( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.73/1.34 { ! alpha14( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.73/1.34 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.73/1.34 , ! c_Orderings_Oord__class_Oless( X, T, Y ), alpha14( X, Y, Z, T ) }.
% 0.73/1.34 { ! class_Rings_Olinordered__ring( X ), ! c_Orderings_Oord__class_Oless( X
% 0.73/1.34 , c_Groups_Otimes__class_Otimes( X, Y, Y ), c_Groups_Ozero__class_Ozero(
% 0.73/1.34 X ) ) }.
% 0.73/1.34 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.73/1.34 ( X ), Y = c_Groups_Ozero__class_Ozero( X ), ! W = U, T = Z, !
% 0.73/1.34 c_Groups_Oplus__class_Oplus( X, W, c_Groups_Otimes__class_Otimes( X, Y, T
% 0.73/1.34 ) ) = c_Groups_Oplus__class_Oplus( X, U, c_Groups_Otimes__class_Otimes(
% 0.73/1.34 X, Y, Z ) ) }.
% 0.73/1.34 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.73/1.34 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z )
% 0.73/1.34 , c_Groups_Otimes__class_Otimes( X, Y, Y ) ) =
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ) }
% 0.73/1.34 .
% 0.73/1.34 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.73/1.34 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z )
% 0.73/1.34 , c_Groups_Otimes__class_Otimes( X, Y, Y ) ) =
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.73/1.34 .
% 0.73/1.34 { ! class_Rings_Olinordered__ring__strict( X ), ! Z =
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X )
% 0.73/1.34 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z
% 0.73/1.34 ), c_Groups_Otimes__class_Otimes( X, Y, Y ) ) =
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ) }.
% 0.73/1.34 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.73/1.34 ( X, c_Groups_Oone__class_Oone( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.73/1.34 ( X, c_Groups_Oone__class_Oone( X ), Z ), c_Orderings_Oord__class_Oless(
% 0.73/1.34 X, c_Groups_Oone__class_Oone( X ), c_Groups_Otimes__class_Otimes( X, Y, Z
% 0.73/1.34 ) ) }.
% 0.73/1.34 { ! class_Int_Onumber( X ), ! class_Rings_Osemiring( X ),
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.73/1.34 ), c_Groups_Oplus__class_Oplus( X, Z, Y ) ) =
% 0.73/1.34 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.73/1.34 c_Int_Onumber__class_Onumber__of( X, T ), Z ),
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.73/1.34 ), Y ) ) }.
% 0.73/1.34 { ! class_Int_Onumber( X ), ! class_Rings_Osemiring( X ),
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.73/1.34 , c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.73/1.34 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, T,
% 0.73/1.34 c_Int_Onumber__class_Onumber__of( X, Y ) ), c_Groups_Otimes__class_Otimes
% 0.73/1.34 ( X, Z, c_Int_Onumber__class_Onumber__of( X, Y ) ) ) }.
% 0.73/1.34 { ! class_Rings_Oring( X ), c_Groups_Ominus__class_Ominus( X,
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.73/1.34 X, Z, Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, U, c_Groups_Ominus__class_Ominus( X, T
% 0.73/1.34 , Y ) ), c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus
% 0.73/1.34 ( X, U, Z ), Y ) ) }.
% 0.73/1.34 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.73/1.34 c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X, U, T
% 0.73/1.34 ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.73/1.34 c_Groups_Oplus__class_Oplus( X, c_Groups_Oplus__class_Oplus( X,
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, U, Z
% 0.73/1.34 ), c_Groups_Ominus__class_Ominus( X, T, Y ) ),
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, U, Z
% 0.73/1.34 ), Y ) ), c_Groups_Otimes__class_Otimes( X, Z,
% 0.73/1.34 c_Groups_Ominus__class_Ominus( X, T, Y ) ) ) }.
% 0.73/1.34 { ! class_Rings_Oring( X ), ! c_Groups_Oplus__class_Oplus( X,
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, W, U ), T ) =
% 0.73/1.34 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.73/1.34 , Y ), T = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes
% 0.73/1.34 ( X, c_Groups_Ominus__class_Ominus( X, Z, W ), U ), Y ) }.
% 0.73/1.34 { ! class_Rings_Oring( X ), ! T = c_Groups_Oplus__class_Oplus( X,
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, Z, W
% 0.73/1.34 ), U ), Y ), c_Groups_Oplus__class_Oplus( X,
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, W, U ), T ) =
% 0.73/1.34 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.73/1.34 , Y ) }.
% 0.73/1.34 { ! class_Rings_Oring( X ), ! c_Groups_Oplus__class_Oplus( X,
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, W, U ), T ) =
% 0.73/1.34 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.73/1.34 , Y ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.73/1.34 c_Groups_Ominus__class_Ominus( X, W, Z ), U ), T ) = Y }.
% 0.73/1.34 { ! class_Rings_Oring( X ), ! c_Groups_Oplus__class_Oplus( X,
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, W, Z
% 0.73/1.34 ), U ), T ) = Y, c_Groups_Oplus__class_Oplus( X,
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, W, U ), T ) =
% 0.73/1.34 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.73/1.34 , Y ) }.
% 0.73/1.34 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, Y
% 0.73/1.34 , Y ) = c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X
% 0.73/1.34 , c_Groups_Oone__class_Oone( X ), c_Groups_Oone__class_Oone( X ) ), Y ) }
% 0.73/1.34 .
% 0.73/1.34 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, Z
% 0.73/1.34 , c_Groups_Otimes__class_Otimes( X, Y, Z ) ) =
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, Y,
% 0.73/1.34 c_Groups_Oone__class_Oone( X ) ), Z ) }.
% 0.73/1.34 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, Z, Y ), Y ) =
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.73/1.34 c_Groups_Oone__class_Oone( X ) ), Y ) }.
% 0.73/1.34 { ! class_Int_Onumber( X ), ! class_Rings_Oring( X ),
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.73/1.34 ), c_Groups_Ominus__class_Ominus( X, Z, Y ) ) =
% 0.73/1.34 c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X,
% 0.73/1.34 c_Int_Onumber__class_Onumber__of( X, T ), Z ),
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.73/1.34 ), Y ) ) }.
% 0.73/1.34 { ! class_Int_Onumber( X ), ! class_Rings_Oring( X ),
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, T, Z
% 0.73/1.34 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.73/1.34 c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X, T,
% 0.73/1.34 c_Int_Onumber__class_Onumber__of( X, Y ) ), c_Groups_Otimes__class_Otimes
% 0.73/1.34 ( X, Z, c_Int_Onumber__class_Onumber__of( X, Y ) ) ) }.
% 0.73/1.34 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.73/1.34 , ! T = c_Rings_Oinverse__class_Odivide( X, Z, Y ),
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, T, Y ) = Z }.
% 0.73/1.34 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.73/1.34 , ! c_Groups_Otimes__class_Otimes( X, T, Y ) = Z, T =
% 0.73/1.34 c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.73/1.34 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.73/1.34 , ! c_Rings_Oinverse__class_Odivide( X, T, Y ) = Z, T =
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, Z, Y ) }.
% 0.73/1.34 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.73/1.34 , ! T = c_Groups_Otimes__class_Otimes( X, Z, Y ),
% 0.73/1.34 c_Rings_Oinverse__class_Odivide( X, T, Y ) = Z }.
% 0.73/1.34 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.73/1.34 , ! T = c_Groups_Otimes__class_Otimes( X, Z, Y ),
% 0.73/1.34 c_Rings_Oinverse__class_Odivide( X, T, Y ) = Z }.
% 0.73/1.34 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.73/1.34 , ! c_Groups_Otimes__class_Otimes( X, T, Y ) = Z, T =
% 0.73/1.34 c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.73/1.34 { ! class_Fields_Ofield__inverse__zero( X ), ! T =
% 0.73/1.34 c_Rings_Oinverse__class_Odivide( X, Z, Y ), alpha36( X, Y, Z, T ) }.
% 0.73/1.34 { ! class_Fields_Ofield__inverse__zero( X ), ! T =
% 0.73/1.34 c_Rings_Oinverse__class_Odivide( X, Z, Y ), alpha15( X, Y, T ) }.
% 0.73/1.34 { ! class_Fields_Ofield__inverse__zero( X ), ! alpha36( X, Y, Z, T ), !
% 0.73/1.34 alpha15( X, Y, T ), T = c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.73/1.34 { ! alpha36( X, Y, Z, T ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, T, Y ) = Z }.
% 0.73/1.34 { ! Y = c_Groups_Ozero__class_Ozero( X ), alpha36( X, Y, Z, T ) }.
% 0.73/1.34 { ! c_Groups_Otimes__class_Otimes( X, T, Y ) = Z, alpha36( X, Y, Z, T ) }.
% 0.73/1.34 { ! alpha15( X, Y, Z ), ! Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ) }.
% 0.73/1.34 { Y = c_Groups_Ozero__class_Ozero( X ), alpha15( X, Y, Z ) }.
% 0.73/1.34 { ! Z = c_Groups_Ozero__class_Ozero( X ), alpha15( X, Y, Z ) }.
% 0.73/1.34 { ! class_Fields_Ofield__inverse__zero( X ), !
% 0.73/1.34 c_Rings_Oinverse__class_Odivide( X, T, Z ) = Y, alpha37( X, Y, Z, T ) }.
% 0.73/1.34 { ! class_Fields_Ofield__inverse__zero( X ), !
% 0.73/1.34 c_Rings_Oinverse__class_Odivide( X, T, Z ) = Y, alpha16( X, Y, Z ) }.
% 0.73/1.34 { ! class_Fields_Ofield__inverse__zero( X ), ! alpha37( X, Y, Z, T ), !
% 0.73/1.34 alpha16( X, Y, Z ), c_Rings_Oinverse__class_Odivide( X, T, Z ) = Y }.
% 0.73/1.34 { ! alpha37( X, Y, Z, T ), Z = c_Groups_Ozero__class_Ozero( X ), T =
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, Y, Z ) }.
% 0.73/1.34 { ! Z = c_Groups_Ozero__class_Ozero( X ), alpha37( X, Y, Z, T ) }.
% 0.73/1.34 { ! T = c_Groups_Otimes__class_Otimes( X, Y, Z ), alpha37( X, Y, Z, T ) }.
% 0.73/1.34 { ! alpha16( X, Y, Z ), ! Z = c_Groups_Ozero__class_Ozero( X ), Y =
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ) }.
% 0.73/1.34 { Z = c_Groups_Ozero__class_Ozero( X ), alpha16( X, Y, Z ) }.
% 0.73/1.34 { ! Y = c_Groups_Ozero__class_Ozero( X ), alpha16( X, Y, Z ) }.
% 0.73/1.34 { ! class_Fields_Ofield__inverse__zero( X ), Y =
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, T, Y ), c_Groups_Otimes__class_Otimes(
% 0.73/1.34 X, Z, Y ) ) = c_Rings_Oinverse__class_Odivide( X, T, Z ) }.
% 0.73/1.34 { ! class_Fields_Ofield__inverse__zero( X ), Y =
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, Y, T ), c_Groups_Otimes__class_Otimes(
% 0.73/1.34 X, Y, Z ) ) = c_Rings_Oinverse__class_Odivide( X, T, Z ) }.
% 0.73/1.34 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ), ! c_Rings_Oinverse__class_Odivide( X, U
% 0.73/1.34 , Y ) = c_Rings_Oinverse__class_Odivide( X, T, Z ),
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, U, Z ) = c_Groups_Otimes__class_Otimes
% 0.73/1.34 ( X, T, Y ) }.
% 0.73/1.34 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ), ! c_Groups_Otimes__class_Otimes( X, U,
% 0.73/1.34 Z ) = c_Groups_Otimes__class_Otimes( X, T, Y ),
% 0.73/1.34 c_Rings_Oinverse__class_Odivide( X, U, Y ) =
% 0.73/1.34 c_Rings_Oinverse__class_Odivide( X, T, Z ) }.
% 0.73/1.34 { c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.73/1.34 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ) = X }.
% 0.73/1.34 { ! class_Groups_Omonoid__mult( X ), c_Groups_Otimes__class_Otimes( X,
% 0.73/1.34 c_Groups_Oone__class_Oone( X ), Y ) = Y }.
% 0.73/1.34 { ! class_Groups_Ocomm__monoid__mult( X ), c_Groups_Otimes__class_Otimes( X
% 0.73/1.34 , c_Groups_Oone__class_Oone( X ), Y ) = Y }.
% 0.73/1.34 { ! class_Groups_Omonoid__mult( X ), c_Groups_Otimes__class_Otimes( X, Y,
% 0.73/1.34 c_Groups_Oone__class_Oone( X ) ) = Y }.
% 0.73/1.34 { ! class_Groups_Ocomm__monoid__mult( X ), c_Groups_Otimes__class_Otimes( X
% 0.73/1.34 , Y, c_Groups_Oone__class_Oone( X ) ) = Y }.
% 0.73/1.34 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.73/1.34 c_Groups_Oone__class_Oone( X ), Y ) = Y }.
% 0.73/1.34 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.73/1.34 Y, c_Groups_Oone__class_Oone( X ) ) = Y }.
% 0.73/1.34 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.73/1.34 c_Int_Onumber__class_Onumber__of( X, T ), c_Groups_Otimes__class_Otimes(
% 0.73/1.34 X, c_Int_Onumber__class_Onumber__of( X, Z ), Y ) ) =
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X,
% 0.73/1.34 c_Groups_Otimes__class_Otimes( tc_Int_Oint, T, Z ) ), Y ) }.
% 0.73/1.34 { c_Groups_Otimes__class_Otimes( tc_Int_Oint,
% 0.73/1.34 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.73/1.34 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) =
% 0.73/1.34 c_Int_Onumber__class_Onumber__of( tc_Int_Oint,
% 0.73/1.34 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 0.73/1.34 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.73/1.34 c_Int_Onumber__class_Onumber__of( X, Z ),
% 0.73/1.34 c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.73/1.34 c_Int_Onumber__class_Onumber__of( X, c_Groups_Otimes__class_Otimes(
% 0.73/1.34 tc_Int_Oint, Z, Y ) ) }.
% 0.73/1.34 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.73/1.34 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ) ) =
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.73/1.34 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.73/1.34 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Groups_Oone__class_Oone(
% 0.73/1.34 tc_Int_Oint ), X ) = X }.
% 0.73/1.34 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, X, c_Groups_Oone__class_Oone
% 0.73/1.34 ( tc_Int_Oint ) ) = X }.
% 0.73/1.34 { c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.73/1.34 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ),
% 0.73/1.34 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ) ) =
% 0.73/1.34 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X, Y ) }.
% 0.73/1.34 { ! class_Rings_Olinordered__idom( X ), c_Groups_Otimes__class_Otimes( X,
% 0.73/1.34 c_Groups_Oabs__class_Oabs( X, Y ), c_Groups_Oabs__class_Oabs( X, Y ) ) =
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, Y, Y ) }.
% 0.73/1.34 { ! class_Rings_Olinordered__idom( X ), c_Groups_Oabs__class_Oabs( X,
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 0.73/1.34 c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.73/1.34 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.73/1.34 X, Z, Y ) ) = c_Groups_Otimes__class_Otimes( X,
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, U, Z ), c_Groups_Otimes__class_Otimes(
% 0.73/1.34 X, T, Y ) ) }.
% 0.73/1.34 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.73/1.34 X, Z, Y ) ) = c_Groups_Otimes__class_Otimes( X, Z,
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X, U, T
% 0.73/1.34 ), Y ) ) }.
% 0.73/1.34 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.73/1.34 X, Z, Y ) ) = c_Groups_Otimes__class_Otimes( X, U,
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Otimes__class_Otimes( X, Z
% 0.73/1.34 , Y ) ) ) }.
% 0.73/1.34 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) =
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X, T, Y
% 0.73/1.34 ), Z ) }.
% 0.73/1.34 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) =
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Otimes__class_Otimes( X, Z
% 0.73/1.34 , Y ) ) }.
% 0.73/1.34 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.73/1.34 T, c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.73/1.34 ), Y ) }.
% 0.73/1.34 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.73/1.34 T, c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, Z, c_Groups_Otimes__class_Otimes( X, T
% 0.73/1.34 , Y ) ) }.
% 0.73/1.34 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.73/1.34 Z, Y ) = c_Groups_Otimes__class_Otimes( X, Y, Z ) }.
% 0.73/1.34 { c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.73/1.34 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, Y ), X ) =
% 0.73/1.34 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z,
% 0.73/1.34 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ) }.
% 0.73/1.34 { c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) =
% 0.73/1.34 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) }.
% 0.73/1.34 { ! class_Groups_Oab__semigroup__mult( X ), c_Groups_Otimes__class_Otimes(
% 0.73/1.34 X, c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) =
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Otimes__class_Otimes( X, Z
% 0.73/1.34 , Y ) ) }.
% 0.73/1.34 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Groups_Otimes__class_Otimes
% 0.73/1.34 ( tc_Int_Oint, Z, Y ), X ) = c_Groups_Otimes__class_Otimes( tc_Int_Oint,
% 0.73/1.34 Z, c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 0.73/1.34 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) =
% 0.73/1.34 c_Groups_Otimes__class_Otimes( tc_Int_Oint, X, Y ) }.
% 0.73/1.34 { ! class_RealVector_Oreal__normed__div__algebra( X ),
% 0.73/1.34 c_RealVector_Onorm__class_Onorm( X, c_Groups_Otimes__class_Otimes( X, Z,
% 0.73/1.34 Y ) ) = c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.73/1.34 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.73/1.34 ( X, Y ) ) }.
% 0.73/1.34 { c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.73/1.34 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Z, Y ), X ) =
% 0.73/1.34 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.73/1.34 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 0.73/1.34 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ) }.
% 0.73/1.34 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Int_OBit0( Y ), X ) =
% 0.73/1.34 c_Int_OBit0( c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 0.73/1.34 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Int_OPls, X ) = c_Int_OPls
% 0.73/1.34 }.
% 0.73/1.34 { ! class_Rings_Odivision__ring( X ), c_Groups_Otimes__class_Otimes( X, T,
% 0.73/1.34 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 0.73/1.34 c_Rings_Oinverse__class_Odivide( X, c_Groups_Otimes__class_Otimes( X, T,
% 0.73/1.34 Z ), Y ) }.
% 0.73/1.34 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.73/1.34 T, c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus
% 0.73/1.34 ( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.73/1.34 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.73/1.34 ( X ), U = T, Z = Y, ! c_Groups_Oplus__class_Oplus( X,
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, U, Z ), c_Groups_Otimes__class_Otimes(
% 0.73/1.34 X, T, Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, U, Y ), c_Groups_Otimes__class_Otimes(
% 0.73/1.34 X, T, Z ) ) }.
% 0.73/1.34 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.73/1.34 ( X ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.73/1.34 U, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) =
% 0.73/1.34 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, U, Y )
% 0.73/1.34 , c_Groups_Otimes__class_Otimes( X, T, Z ) ), ! U = T }.
% 0.73/1.34 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.73/1.34 ( X ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.73/1.34 U, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) =
% 0.73/1.34 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, U, Y )
% 0.73/1.34 , c_Groups_Otimes__class_Otimes( X, T, Z ) ), ! Z = Y }.
% 0.73/1.34 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.73/1.34 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.73/1.34 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ),
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.73/1.34 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, T, Z ), c_Groups_Otimes__class_Otimes(
% 0.73/1.34 X, Y, Z ) ) = c_Groups_Otimes__class_Otimes( X,
% 0.73/1.34 c_Groups_Oplus__class_Oplus( X, T, Y ), Z ) }.
% 0.73/1.34 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.73/1.34 ( X ), ! c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 0.73/1.34 , U, T ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.73/1.34 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, U, Y )
% 0.73/1.34 , c_Groups_Otimes__class_Otimes( X, Z, T ) ), U = Z, T = Y }.
% 0.73/1.34 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.73/1.34 ( X ), ! U = Z, c_Groups_Oplus__class_Oplus( X,
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.73/1.34 X, Z, Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, U, Y ), c_Groups_Otimes__class_Otimes(
% 0.73/1.34 X, Z, T ) ) }.
% 0.73/1.34 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.73/1.34 ( X ), ! T = Y, c_Groups_Oplus__class_Oplus( X,
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.73/1.34 X, Z, Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, U, Y ), c_Groups_Otimes__class_Otimes(
% 0.73/1.34 X, Z, T ) ) }.
% 0.73/1.34 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.73/1.34 ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.73/1.34 T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.73/1.34 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.73/1.34 ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.73/1.34 T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.73/1.34 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.73/1.34 , Y ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 0.73/1.34 , T, Y ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.73/1.34 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.73/1.34 , Y ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 0.73/1.34 , T, Y ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.73/1.34 { ! class_Rings_Osemiring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Oplus__class_Oplus( X
% 0.73/1.34 , c_Groups_Otimes__class_Otimes( X, Z, T ), Y ) ) =
% 0.73/1.34 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.73/1.34 c_Groups_Oplus__class_Oplus( X, U, Z ), T ), Y ) }.
% 0.73/1.34 { ! class_Rings_Ocomm__semiring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.73/1.34 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.73/1.34 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ),
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.73/1.34 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.73/1.34 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.73/1.34 c_RealVector_Onorm__class_Onorm( X, c_Groups_Otimes__class_Otimes( X, Z,
% 0.73/1.34 Y ) ), c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.73/1.34 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.73/1.34 ( X, Y ) ) ) }.
% 0.73/1.34 { ! class_RealVector_Oreal__normed__algebra( X ), !
% 0.73/1.34 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.34 c_RealVector_Onorm__class_Onorm( X, Z ), Y ), !
% 0.73/1.34 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.34 c_RealVector_Onorm__class_Onorm( X, U ), T ),
% 0.73/1.34 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.34 c_RealVector_Onorm__class_Onorm( X, c_Groups_Otimes__class_Otimes( X, Z,
% 0.73/1.34 U ) ), c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, T ) ) }.
% 0.73/1.34 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z,
% 0.73/1.34 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) =
% 0.73/1.34 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Otimes__class_Otimes(
% 0.73/1.34 tc_Int_Oint, Z, Y ), c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, X ) )
% 0.73/1.34 }.
% 0.73/1.34 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.73/1.34 tc_Int_Oint, Z, Y ), X ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.73/1.34 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, X ),
% 0.73/1.34 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 0.73/1.34 { ! class_Fields_Ofield__inverse__zero( X ), c_Groups_Otimes__class_Otimes
% 0.73/1.34 ( X, c_Rings_Oinverse__class_Odivide( X, U, T ),
% 0.73/1.34 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 0.73/1.34 c_Rings_Oinverse__class_Odivide( X, c_Groups_Otimes__class_Otimes( X, U,
% 0.73/1.34 Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.73/1.34 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Groups_Ominus__class_Ominus
% 0.73/1.34 ( tc_Int_Oint, Z, Y ), X ) = c_Groups_Ominus__class_Ominus( tc_Int_Oint,
% 0.73/1.34 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, X ),
% 0.73/1.34 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 0.73/1.34 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z,
% 0.73/1.34 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X ) ) =
% 0.73/1.34 c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Groups_Otimes__class_Otimes
% 0.73/1.34 ( tc_Int_Oint, Z, Y ), c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, X )
% 0.73/1.34 ) }.
% 0.73/1.34 { ! class_Rings_Omult__zero( X ), c_Groups_Otimes__class_Otimes( X,
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.73/1.34 }.
% 0.73/1.34 { ! class_Rings_Omult__zero( X ), c_Groups_Otimes__class_Otimes( X, Y,
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.73/1.34 { ! class_Rings_Oring__no__zero__divisors( X ), !
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, Z, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.73/1.34 ), Z = c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero
% 0.73/1.34 ( X ) }.
% 0.73/1.34 { ! class_Rings_Oring__no__zero__divisors( X ), ! Z =
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.73/1.34 ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.73/1.34 { ! class_Rings_Oring__no__zero__divisors( X ), ! Y =
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.73/1.34 ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.73/1.34 { ! class_Rings_Ono__zero__divisors( X ), Y = c_Groups_Ozero__class_Ozero(
% 0.73/1.34 X ), Z = c_Groups_Ozero__class_Ozero( X ), !
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, Y, Z ) = c_Groups_Ozero__class_Ozero( X
% 0.73/1.34 ) }.
% 0.73/1.34 { ! class_Rings_Ono__zero__divisors( X ), ! c_Groups_Otimes__class_Otimes(
% 0.73/1.34 X, Z, Y ) = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.73/1.34 .
% 0.73/1.34 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, c_Groups_Ozero__class_Ozero( X ), Y ) =
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ) }.
% 0.73/1.34 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, c_Groups_Ozero__class_Ozero( X ), Y ) =
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ) }.
% 0.73/1.34 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, Y, c_Groups_Ozero__class_Ozero( X ) ) =
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ) }.
% 0.73/1.34 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, Y, c_Groups_Ozero__class_Ozero( X ) ) =
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ) }.
% 0.73/1.34 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.73/1.34 Y, c_Groups_Ozero__class_Ozero( X ) ) = c_Groups_Ozero__class_Ozero( X )
% 0.73/1.34 }.
% 0.73/1.34 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.73/1.34 }.
% 0.73/1.34 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, T, Z
% 0.73/1.34 ), Y ) = c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes
% 0.73/1.34 ( X, T, Y ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.73/1.34 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, T, Z
% 0.73/1.34 ), Y ) = c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes
% 0.73/1.34 ( X, T, Y ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.73/1.34 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Ominus__class_Ominus( X, Z
% 0.73/1.34 , Y ) ) = c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes
% 0.73/1.34 ( X, T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.73/1.34 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Ominus__class_Ominus( X, Z
% 0.73/1.34 , Y ) ) = c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes
% 0.73/1.34 ( X, T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.73/1.34 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), !
% 0.73/1.34 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ) =
% 0.73/1.34 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ), Z = Y }.
% 0.73/1.34 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! Z = Y,
% 0.73/1.34 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ) =
% 0.73/1.34 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) }.
% 0.73/1.34 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), !
% 0.73/1.34 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ) =
% 0.73/1.34 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ), Z = Y }.
% 0.73/1.34 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! Z = Y,
% 0.73/1.34 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ) =
% 0.73/1.34 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) }.
% 0.73/1.34 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), !
% 0.73/1.34 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.73/1.34 tc_Int_Oint ), Z ), c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.73/1.34 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ),
% 0.73/1.34 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, X ) ) }.
% 0.73/1.34 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.73/1.34 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.73/1.34 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.73/1.34 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ),
% 0.73/1.34 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.73/1.34 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Otimes__class_Otimes
% 0.73/1.34 ( tc_Int_Oint, X, Y ) ) }.
% 0.73/1.34 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.34 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.73/1.34 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ), X =
% 0.73/1.34 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.73/1.34 { ! X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), !
% 0.73/1.34 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.34 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.73/1.34 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) }.
% 0.73/1.34 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.34 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.73/1.34 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Z, Y ),
% 0.73/1.34 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.34 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ),
% 0.73/1.34 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) ) }.
% 0.73/1.34 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.34 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.73/1.34 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.34 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ),
% 0.73/1.34 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.34 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.73/1.34 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) ) }.
% 0.73/1.34 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.34 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.73/1.34 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.34 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 0.73/1.34 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ),
% 0.73/1.34 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Z, Y ) }.
% 0.73/1.34 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.34 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.73/1.34 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Z, Y ),
% 0.73/1.34 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.34 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 0.73/1.34 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ) }.
% 0.73/1.34 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.73/1.34 , c_Groups_Oabs__class_Oabs( X, Z ), Y ), ! c_Orderings_Oord__class_Oless
% 0.73/1.34 ( X, c_Groups_Oabs__class_Oabs( X, U ), T ),
% 0.73/1.34 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X,
% 0.73/1.34 c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, U ) ),
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.73/1.34 { ! class_Rings_Ocomm__semiring__1( X ), c_Power_Opower__class_Opower( X, Z
% 0.73/1.34 , c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.73/1.34 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.73/1.34 c_Int_OPls ) ) ), Y ) ) = c_Groups_Otimes__class_Otimes( X,
% 0.73/1.34 c_Power_Opower__class_Opower( X, Z, Y ), c_Power_Opower__class_Opower( X
% 0.73/1.34 , Z, Y ) ) }.
% 0.73/1.34 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.73/1.34 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.73/1.34 ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.73/1.34 , Y, T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 0.73/1.34 c_Orderings_Oord__class_Oless__eq( X, T, Z ) }.
% 0.73/1.34 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.73/1.34 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.73/1.34 ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.73/1.34 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Y
% 0.73/1.34 , T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.73/1.34 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.73/1.34 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.73/1.34 ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.73/1.34 , Y, T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 0.73/1.34 c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.73/1.34 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.73/1.34 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.73/1.34 ! c_Orderings_Oord__class_Oless__eq( X, Z, T ),
% 0.73/1.34 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Y
% 0.73/1.34 , T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.73/1.34 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.73/1.34 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.73/1.34 ( X, U, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.73/1.34 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), U
% 0.73/1.34 ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.73/1.34 , U ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.73/1.34 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.73/1.34 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.73/1.34 ( X, U, T ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ), Z ), !
% 0.73/1.34 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), U
% 0.73/1.34 ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.73/1.34 , U ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.73/1.34 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.73/1.34 c_Orderings_Oord__class_Oless( X, Z, Y ), !
% 0.73/1.34 c_Orderings_Oord__class_Oless__eq( X, U, T ), !
% 0.73/1.34 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.73/1.34 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.73/1.34 , U ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X
% 0.73/1.34 , Z, U ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.73/1.34 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.73/1.34 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.73/1.34 c_Orderings_Oord__class_Oless( X, U, T ), ! c_Orderings_Oord__class_Oless
% 0.73/1.34 ( X, c_Groups_Ozero__class_Ozero( X ), Z ), !
% 0.73/1.34 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), U
% 0.73/1.34 ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.73/1.34 , U ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.73/1.34 { ! class_Rings_Olinordered__semiring( X ), ! c_Orderings_Oord__class_Oless
% 0.73/1.34 ( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, Y, Z ) ), !
% 0.73/1.34 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.73/1.34 ), c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.73/1.34 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.73/1.34 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.73/1.34 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ), !
% 0.73/1.34 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.73/1.34 ), c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.73/1.34 { ! class_Rings_Olinordered__semiring( X ), ! c_Orderings_Oord__class_Oless
% 0.73/1.34 ( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, T, Y ) ), !
% 0.73/1.34 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.73/1.34 ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.73/1.34 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.73/1.34 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.73/1.34 ), c_Groups_Otimes__class_Otimes( X, T, Y ) ), !
% 0.73/1.34 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.73/1.34 ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.73/1.34 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.73/1.34 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, T
% 0.73/1.34 , Z ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ), !
% 0.73/1.34 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.73/1.34 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.73/1.34 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.73/1.34 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, T
% 0.73/1.34 , Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ), !
% 0.73/1.34 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 0.73/1.34 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.73/1.34 { ! class_Rings_Olinordered__ring( X ), c_Orderings_Oord__class_Oless__eq(
% 0.73/1.34 X, c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 0.73/1.34 X, Y, Y ) ) ) }.
% 0.73/1.34 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.73/1.34 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 0.73/1.34 X, Y, Y ) ), c_Groups_Ozero__class_Ozero( X ) ), Z =
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ) }.
% 0.73/1.34 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.73/1.34 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 0.73/1.34 X, Y, Y ) ), c_Groups_Ozero__class_Ozero( X ) ), Y =
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ) }.
% 0.73/1.34 { ! class_Rings_Olinordered__ring__strict( X ), ! Z =
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X )
% 0.73/1.34 , c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 0.73/1.34 X, Y, Y ) ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.73/1.34 { ! class_Rings_Olinordered__ring( X ), ! c_Orderings_Oord__class_Oless( X
% 0.73/1.34 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z
% 0.73/1.34 ), c_Groups_Otimes__class_Otimes( X, Y, Y ) ),
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.73/1.34 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.73/1.34 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.73/1.34 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z )
% 0.73/1.34 , c_Groups_Otimes__class_Otimes( X, Y, Y ) ) ), ! Z =
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X )
% 0.73/1.34 }.
% 0.73/1.34 { ! class_Rings_Olinordered__ring__strict( X ), Z =
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless( X,
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 0.73/1.34 X, Y, Y ) ) ) }.
% 0.73/1.34 { ! class_Rings_Olinordered__ring__strict( X ), Y =
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless( X,
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 0.73/1.34 X, Y, Y ) ) ) }.
% 0.73/1.34 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq
% 0.73/1.34 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.73/1.34 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.73/1.34 ), ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Oone__class_Oone
% 0.73/1.34 ( X ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, Y, Z ), Y ) }.
% 0.73/1.34 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq
% 0.73/1.34 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.73/1.34 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.73/1.34 ), ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Oone__class_Oone
% 0.73/1.34 ( X ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, Z, Y ), Y ) }.
% 0.73/1.34 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.73/1.34 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W, U
% 0.73/1.34 ), T ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 0.73/1.34 , Z, U ), Y ) ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.73/1.34 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.73/1.34 c_Groups_Ominus__class_Ominus( X, Z, W ), U ), Y ) ) }.
% 0.73/1.34 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.73/1.34 , T, c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.73/1.34 c_Groups_Ominus__class_Ominus( X, Z, W ), U ), Y ) ),
% 0.73/1.34 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, W, U ), T ),
% 0.73/1.34 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.73/1.34 , Y ) ) }.
% 0.73/1.34 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.73/1.34 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W, U
% 0.73/1.34 ), T ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 0.73/1.34 , Z, U ), Y ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.73/1.34 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.73/1.34 c_Groups_Ominus__class_Ominus( X, W, Z ), U ), T ), Y ) }.
% 0.73/1.34 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.73/1.34 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.73/1.34 c_Groups_Ominus__class_Ominus( X, W, Z ), U ), T ), Y ),
% 0.73/1.34 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, W, U ), T ),
% 0.73/1.34 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.73/1.34 , Y ) ) }.
% 0.73/1.34 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.73/1.34 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W, U )
% 0.73/1.34 , T ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.73/1.34 Z, U ), Y ) ), c_Orderings_Oord__class_Oless( X,
% 0.73/1.34 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.73/1.34 c_Groups_Ominus__class_Ominus( X, W, Z ), U ), T ), Y ) }.
% 0.73/1.34 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.73/1.34 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.73/1.34 c_Groups_Ominus__class_Ominus( X, W, Z ), U ), T ), Y ),
% 0.73/1.34 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X,
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, W, U ), T ),
% 0.73/1.34 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.73/1.34 , Y ) ) }.
% 0.73/1.34 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.73/1.34 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W, U )
% 0.73/1.34 , T ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.73/1.34 Z, U ), Y ) ), c_Orderings_Oord__class_Oless( X, T,
% 0.73/1.34 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.73/1.34 c_Groups_Ominus__class_Ominus( X, Z, W ), U ), Y ) ) }.
% 0.73/1.34 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless( X, T
% 0.73/1.34 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.73/1.34 c_Groups_Ominus__class_Ominus( X, Z, W ), U ), Y ) ),
% 0.73/1.34 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X,
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, W, U ), T ),
% 0.73/1.34 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.73/1.34 , Y ) ) }.
% 0.73/1.34 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.73/1.34 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.73/1.34 Z, Y ) ), alpha38( X, Y, Z, T ) }.
% 0.73/1.34 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.73/1.34 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.73/1.34 Z, Y ) ), alpha46( X, Y, Z, T ) }.
% 0.73/1.34 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha38( X, Y, Z
% 0.73/1.34 , T ), ! alpha46( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, T,
% 0.73/1.34 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.73/1.34 { ! alpha46( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ), Y ), alpha49( X, Y, Z, T ) }.
% 0.73/1.34 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.73/1.34 , alpha46( X, Y, Z, T ) }.
% 0.73/1.34 { ! alpha49( X, Y, Z, T ), alpha46( X, Y, Z, T ) }.
% 0.73/1.34 { ! alpha49( X, Y, Z, T ), alpha52( X, Y, Z, T ) }.
% 0.73/1.34 { ! alpha49( X, Y, Z, T ), alpha17( X, Y, T ) }.
% 0.73/1.34 { ! alpha52( X, Y, Z, T ), ! alpha17( X, Y, T ), alpha49( X, Y, Z, T ) }.
% 0.73/1.34 { ! alpha52( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, Z,
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.73/1.34 { c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.73/1.34 alpha52( X, Y, Z, T ) }.
% 0.73/1.34 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Otimes__class_Otimes( X,
% 0.73/1.34 T, Y ) ), alpha52( X, Y, Z, T ) }.
% 0.73/1.34 { ! alpha38( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless( X,
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, T, Y ), Z ) }.
% 0.73/1.34 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.73/1.34 alpha38( X, Y, Z, T ) }.
% 0.73/1.34 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T,
% 0.73/1.34 Y ), Z ), alpha38( X, Y, Z, T ) }.
% 0.73/1.34 { ! alpha17( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, Z,
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.73/1.34 { ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 0.73/1.34 , alpha17( X, Y, Z ) }.
% 0.73/1.34 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.73/1.34 , alpha17( X, Y, Z ) }.
% 0.73/1.34 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.73/1.34 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.73/1.34 Z ), Y ), alpha39( X, Y, Z, T ) }.
% 0.73/1.34 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.73/1.34 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.73/1.34 Z ), Y ), alpha47( X, Y, Z, T ) }.
% 0.73/1.34 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha39( X, Y, Z
% 0.73/1.34 , T ), ! alpha47( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.73/1.34 c_Rings_Oinverse__class_Odivide( X, T, Z ), Y ) }.
% 0.73/1.34 { ! alpha47( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ), Z ), alpha50( X, Y, Z, T ) }.
% 0.73/1.34 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.73/1.34 , alpha47( X, Y, Z, T ) }.
% 0.73/1.34 { ! alpha50( X, Y, Z, T ), alpha47( X, Y, Z, T ) }.
% 0.73/1.34 { ! alpha50( X, Y, Z, T ), alpha53( X, Y, Z, T ) }.
% 0.73/1.34 { ! alpha50( X, Y, Z, T ), alpha18( X, Y, Z ) }.
% 0.73/1.34 { ! alpha53( X, Y, Z, T ), ! alpha18( X, Y, Z ), alpha50( X, Y, Z, T ) }.
% 0.73/1.34 { ! alpha53( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, Y, Z ), T ) }.
% 0.73/1.34 { c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ),
% 0.73/1.34 alpha53( X, Y, Z, T ) }.
% 0.73/1.34 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.73/1.34 Z ), T ), alpha53( X, Y, Z, T ) }.
% 0.73/1.34 { ! alpha39( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless( X,
% 0.73/1.34 T, c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.73/1.34 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.73/1.34 alpha39( X, Y, Z, T ) }.
% 0.73/1.34 { ! c_Orderings_Oord__class_Oless( X, T, c_Groups_Otimes__class_Otimes( X,
% 0.73/1.34 Y, Z ) ), alpha39( X, Y, Z, T ) }.
% 0.73/1.34 { ! alpha18( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.73/1.34 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.73/1.34 , alpha18( X, Y, Z ) }.
% 0.73/1.34 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.73/1.34 , alpha18( X, Y, Z ) }.
% 0.73/1.34 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.73/1.34 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.73/1.34 ( X, T, c_Rings_Oinverse__class_Odivide( X, Z, Y ) ),
% 0.73/1.34 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Y
% 0.73/1.34 ), Z ) }.
% 0.73/1.34 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.73/1.34 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.73/1.34 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ), Z ),
% 0.73/1.34 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.73/1.34 Z, Y ) ) }.
% 0.73/1.34 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.73/1.34 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.73/1.34 ( X, c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ),
% 0.73/1.34 c_Orderings_Oord__class_Oless( X, T, c_Groups_Otimes__class_Otimes( X, Z
% 0.73/1.34 , Y ) ) }.
% 0.73/1.34 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.73/1.34 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.73/1.34 ( X, T, c_Groups_Otimes__class_Otimes( X, Z, Y ) ),
% 0.73/1.34 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.73/1.34 Y ), Z ) }.
% 0.73/1.34 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.73/1.34 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.73/1.34 ( X, T, c_Groups_Otimes__class_Otimes( X, Z, Y ) ),
% 0.73/1.34 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.73/1.34 Y ), Z ) }.
% 0.73/1.34 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.73/1.34 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.73/1.34 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ), Z ),
% 0.73/1.34 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.73/1.34 Z, Y ) ) }.
% 0.73/1.34 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.73/1.34 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.73/1.34 ( X, T, c_Rings_Oinverse__class_Odivide( X, Z, Y ) ),
% 0.73/1.34 c_Orderings_Oord__class_Oless( X, Z, c_Groups_Otimes__class_Otimes( X, T
% 0.73/1.34 , Y ) ) }.
% 0.73/1.34 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.73/1.34 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.73/1.34 ( X, Z, c_Groups_Otimes__class_Otimes( X, T, Y ) ),
% 0.73/1.34 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.73/1.34 Z, Y ) ) }.
% 0.73/1.34 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.73/1.34 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.73/1.34 ( X, c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ),
% 0.73/1.34 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.73/1.34 ), T ) }.
% 0.73/1.34 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.73/1.34 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.73/1.34 ( X, c_Groups_Otimes__class_Otimes( X, Z, Y ), T ),
% 0.73/1.34 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.73/1.34 Y ), Z ) }.
% 0.73/1.34 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.73/1.34 X, Z, Y ), ! c_Orderings_Oord__class_Oless( X,
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ), T ), ! c_Orderings_Oord__class_Oless( X
% 0.73/1.34 , c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Y,
% 0.73/1.34 Z ) ), c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide
% 0.73/1.34 ( X, T, Y ), c_Rings_Oinverse__class_Odivide( X, T, Z ) ) }.
% 0.73/1.34 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.73/1.34 X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, T,
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless( X,
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.73/1.34 ) ), c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide(
% 0.73/1.34 X, T, Z ), c_Rings_Oinverse__class_Odivide( X, T, Y ) ) }.
% 0.73/1.34 { ! class_Rings_Oring__1( X ), c_Groups_Ominus__class_Ominus( X,
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, Y, Y ), c_Groups_Oone__class_Oone( X )
% 0.73/1.34 ) = c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, Y
% 0.73/1.34 , c_Groups_Oone__class_Oone( X ) ), c_Groups_Ominus__class_Ominus( X, Y,
% 0.73/1.34 c_Groups_Oone__class_Oone( X ) ) ) }.
% 0.73/1.34 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq
% 0.73/1.34 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), c_Groups_Otimes__class_Otimes
% 0.73/1.34 ( X, c_Groups_Oabs__class_Oabs( X, Z ), Y ) = c_Groups_Oabs__class_Oabs(
% 0.73/1.34 X, c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.73/1.34 { ! class_Rings_Oordered__ring__abs( X ), alpha55( X, Z ), !
% 0.73/1.34 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.73/1.34 ), c_Groups_Oabs__class_Oabs( X, c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.73/1.34 ) ) = c_Groups_Otimes__class_Otimes( X, c_Groups_Oabs__class_Oabs( X, Z
% 0.73/1.34 ), c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.73/1.34 { ! class_Rings_Oordered__ring__abs( X ), alpha55( X, Z ), !
% 0.73/1.34 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.73/1.34 ), c_Groups_Oabs__class_Oabs( X, c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.73/1.34 ) ) = c_Groups_Otimes__class_Otimes( X, c_Groups_Oabs__class_Oabs( X, Z
% 0.73/1.34 ), c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.73/1.34 { ! alpha55( X, Y ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.73/1.34 { ! alpha55( X, Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.73/1.34 { c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.73/1.34 ), c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero
% 0.73/1.34 ( X ) ), alpha55( X, Y ) }.
% 0.73/1.34 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.73/1.34 c_Rings_Oinverse__class_Odivide( X, U, Y ),
% 0.73/1.34 c_Rings_Oinverse__class_Odivide( X, T, Z ) ) =
% 0.73/1.34 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X,
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, U, Z ), c_Groups_Otimes__class_Otimes(
% 0.73/1.34 X, T, Y ) ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.73/1.34 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.73/1.34 c_Groups_Oplus__class_Oplus( X, c_Rings_Oinverse__class_Odivide( X, T, Y
% 0.73/1.34 ), Z ) = c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus
% 0.73/1.34 ( X, T, c_Groups_Otimes__class_Otimes( X, Y, Z ) ), Y ) }.
% 0.73/1.34 { ! class_Fields_Ofield__inverse__zero( X ), Y =
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.73/1.34 c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ) =
% 0.73/1.34 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, Z, Y ) ), Y ) }.
% 0.73/1.34 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.73/1.34 c_Groups_Oplus__class_Oplus( X, T, c_Rings_Oinverse__class_Odivide( X, Z
% 0.73/1.34 , Y ) ) = c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus
% 0.73/1.34 ( X, c_Groups_Otimes__class_Otimes( X, Y, T ), Z ), Y ) }.
% 0.73/1.34 { ! class_Fields_Ofield__inverse__zero( X ), Y =
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, T,
% 0.73/1.34 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 0.73/1.34 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, T, Y ) ), Y ) }.
% 0.73/1.34 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.73/1.34 ( X, c_Groups_Oone__class_Oone( X ), Y ), c_Orderings_Oord__class_Oless(
% 0.73/1.34 X, c_Power_Opower__class_Opower( X, Y, Z ), c_Groups_Otimes__class_Otimes
% 0.73/1.34 ( X, Y, c_Power_Opower__class_Opower( X, Y, Z ) ) ) }.
% 0.73/1.34 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.73/1.34 ( X, c_Groups_Oone__class_Oone( X ), Y ), c_Orderings_Oord__class_Oless(
% 0.73/1.34 X, c_Groups_Oone__class_Oone( X ), c_Groups_Otimes__class_Otimes( X, Y,
% 0.73/1.34 c_Power_Opower__class_Opower( X, Y, Z ) ) ) }.
% 0.73/1.34 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.73/1.34 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 0.73/1.34 X, Z ) ) = Y, alpha40( X, Y, Z, T ) }.
% 0.73/1.34 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.73/1.34 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 0.73/1.34 X, Z ) ) = Y, alpha19( X, Y, Z ) }.
% 0.73/1.34 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.73/1.34 alpha40( X, Y, Z, T ), ! alpha19( X, Y, Z ),
% 0.73/1.34 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 0.73/1.34 X, Z ) ) = Y }.
% 0.73/1.34 { ! alpha40( X, Y, Z, T ), c_Int_Onumber__class_Onumber__of( X, Z ) =
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ), T = c_Groups_Otimes__class_Otimes( X, Y
% 0.73/1.34 , c_Int_Onumber__class_Onumber__of( X, Z ) ) }.
% 0.73/1.34 { ! c_Int_Onumber__class_Onumber__of( X, Z ) = c_Groups_Ozero__class_Ozero
% 0.73/1.34 ( X ), alpha40( X, Y, Z, T ) }.
% 0.73/1.34 { ! T = c_Groups_Otimes__class_Otimes( X, Y,
% 0.73/1.34 c_Int_Onumber__class_Onumber__of( X, Z ) ), alpha40( X, Y, Z, T ) }.
% 0.73/1.34 { ! alpha19( X, Y, Z ), ! c_Int_Onumber__class_Onumber__of( X, Z ) =
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.73/1.34 .
% 0.73/1.34 { c_Int_Onumber__class_Onumber__of( X, Z ) = c_Groups_Ozero__class_Ozero( X
% 0.73/1.34 ), alpha19( X, Y, Z ) }.
% 0.73/1.34 { ! Y = c_Groups_Ozero__class_Ozero( X ), alpha19( X, Y, Z ) }.
% 0.73/1.34 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.73/1.34 c_Rings_Oinverse__class_Odivide( X, T, Z ) =
% 0.73/1.34 c_Int_Onumber__class_Onumber__of( X, Y ), alpha41( X, Y, Z, T ) }.
% 0.73/1.34 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.73/1.34 c_Rings_Oinverse__class_Odivide( X, T, Z ) =
% 0.73/1.34 c_Int_Onumber__class_Onumber__of( X, Y ), alpha20( X, Y, Z ) }.
% 0.73/1.34 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.73/1.34 alpha41( X, Y, Z, T ), ! alpha20( X, Y, Z ),
% 0.73/1.34 c_Rings_Oinverse__class_Odivide( X, T, Z ) =
% 0.73/1.34 c_Int_Onumber__class_Onumber__of( X, Y ) }.
% 0.73/1.34 { ! alpha41( X, Y, Z, T ), Z = c_Groups_Ozero__class_Ozero( X ), T =
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.73/1.34 ), Z ) }.
% 0.73/1.34 { ! Z = c_Groups_Ozero__class_Ozero( X ), alpha41( X, Y, Z, T ) }.
% 0.73/1.34 { ! T = c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of
% 0.73/1.34 ( X, Y ), Z ), alpha41( X, Y, Z, T ) }.
% 0.73/1.34 { ! alpha20( X, Y, Z ), ! Z = c_Groups_Ozero__class_Ozero( X ),
% 0.73/1.34 c_Int_Onumber__class_Onumber__of( X, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.73/1.34 ) }.
% 0.73/1.34 { Z = c_Groups_Ozero__class_Ozero( X ), alpha20( X, Y, Z ) }.
% 0.73/1.34 { ! c_Int_Onumber__class_Onumber__of( X, Y ) = c_Groups_Ozero__class_Ozero
% 0.73/1.34 ( X ), alpha20( X, Y, Z ) }.
% 0.73/1.34 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.73/1.34 c_Int_Onumber__class_Onumber__of( X, T ) =
% 0.73/1.34 c_Rings_Oinverse__class_Odivide( X, Z, Y ), alpha42( X, Y, Z, T ) }.
% 0.73/1.34 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.73/1.34 c_Int_Onumber__class_Onumber__of( X, T ) =
% 0.73/1.34 c_Rings_Oinverse__class_Odivide( X, Z, Y ), alpha21( X, Y, T ) }.
% 0.73/1.34 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.73/1.34 alpha42( X, Y, Z, T ), ! alpha21( X, Y, T ),
% 0.73/1.34 c_Int_Onumber__class_Onumber__of( X, T ) =
% 0.73/1.34 c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.73/1.34 { ! alpha42( X, Y, Z, T ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.73/1.34 ), Y ) = Z }.
% 0.73/1.34 { ! Y = c_Groups_Ozero__class_Ozero( X ), alpha42( X, Y, Z, T ) }.
% 0.73/1.34 { ! c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X,
% 0.73/1.34 T ), Y ) = Z, alpha42( X, Y, Z, T ) }.
% 0.73/1.34 { ! alpha21( X, Y, Z ), ! Y = c_Groups_Ozero__class_Ozero( X ),
% 0.73/1.34 c_Int_Onumber__class_Onumber__of( X, Z ) = c_Groups_Ozero__class_Ozero( X
% 0.73/1.34 ) }.
% 0.73/1.34 { Y = c_Groups_Ozero__class_Ozero( X ), alpha21( X, Y, Z ) }.
% 0.73/1.34 { ! c_Int_Onumber__class_Onumber__of( X, Z ) = c_Groups_Ozero__class_Ozero
% 0.73/1.34 ( X ), alpha21( X, Y, Z ) }.
% 0.73/1.34 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), ! T
% 0.73/1.34 = c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of
% 0.73/1.34 ( X, Y ) ), alpha43( X, Y, Z, T ) }.
% 0.73/1.34 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), ! T
% 0.73/1.34 = c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of
% 0.73/1.34 ( X, Y ) ), alpha22( X, Y, T ) }.
% 0.73/1.34 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.73/1.34 alpha43( X, Y, Z, T ), ! alpha22( X, Y, T ), T =
% 0.73/1.34 c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.73/1.34 X, Y ) ) }.
% 0.73/1.34 { ! alpha43( X, Y, Z, T ), c_Int_Onumber__class_Onumber__of( X, Y ) =
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, T,
% 0.73/1.34 c_Int_Onumber__class_Onumber__of( X, Y ) ) = Z }.
% 0.73/1.34 { ! c_Int_Onumber__class_Onumber__of( X, Y ) = c_Groups_Ozero__class_Ozero
% 0.73/1.34 ( X ), alpha43( X, Y, Z, T ) }.
% 0.73/1.34 { ! c_Groups_Otimes__class_Otimes( X, T, c_Int_Onumber__class_Onumber__of(
% 0.73/1.34 X, Y ) ) = Z, alpha43( X, Y, Z, T ) }.
% 0.73/1.34 { ! alpha22( X, Y, Z ), ! c_Int_Onumber__class_Onumber__of( X, Y ) =
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ) }
% 0.73/1.34 .
% 0.73/1.34 { c_Int_Onumber__class_Onumber__of( X, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.73/1.34 ), alpha22( X, Y, Z ) }.
% 0.73/1.34 { ! Z = c_Groups_Ozero__class_Ozero( X ), alpha22( X, Y, Z ) }.
% 0.73/1.34 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.73/1.34 c_Groups_Ozero__class_Ozero( X ), c_Groups_Ominus__class_Ominus( X,
% 0.73/1.34 c_Rings_Oinverse__class_Odivide( X, U, Y ),
% 0.73/1.34 c_Rings_Oinverse__class_Odivide( X, T, Z ) ) =
% 0.73/1.34 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X,
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, U, Z ), c_Groups_Otimes__class_Otimes(
% 0.73/1.34 X, T, Y ) ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.73/1.34 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.73/1.34 c_Groups_Ominus__class_Ominus( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.73/1.34 Y ), Z ) = c_Rings_Oinverse__class_Odivide( X,
% 0.73/1.34 c_Groups_Ominus__class_Ominus( X, T, c_Groups_Otimes__class_Otimes( X, Y
% 0.73/1.34 , Z ) ), Y ) }.
% 0.73/1.34 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.73/1.34 c_Groups_Ominus__class_Ominus( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.73/1.34 Z, Y ) ) = c_Rings_Oinverse__class_Odivide( X,
% 0.73/1.34 c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X, Y, T
% 0.73/1.34 ), Z ), Y ) }.
% 0.73/1.34 { ! class_Divides_Osemiring__div( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.73/1.34 , c_Divides_Odiv__class_Odiv( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.73/1.34 c_Groups_Otimes__class_Otimes( X, Y, Z ) ), Y ) =
% 0.73/1.34 c_Groups_Oplus__class_Oplus( X, Z, c_Divides_Odiv__class_Odiv( X, T, Y )
% 0.73/1.34 ) }.
% 0.73/1.34 { ! class_Orderings_Opreorder( X ), class_Orderings_Opreorder( tc_fun( Y, X
% 0.73/1.34 ) ) }.
% 0.73/1.34 { ! class_Orderings_Oorder( X ), class_Orderings_Oorder( tc_fun( Y, X ) ) }
% 0.73/1.34 .
% 0.73/1.34 { ! class_Orderings_Oord( X ), class_Orderings_Oord( tc_fun( Y, X ) ) }.
% 0.73/1.34 { class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(
% 0.73/1.34 tc_Int_Oint ) }.
% 0.73/1.34 { class_Groups_Oordered__cancel__ab__semigroup__add( tc_Int_Oint ) }.
% 0.73/1.34 { class_Groups_Oordered__ab__semigroup__add__imp__le( tc_Int_Oint ) }.
% 0.73/1.34 { class_Rings_Olinordered__comm__semiring__strict( tc_Int_Oint ) }.
% 0.73/1.34 { class_Rings_Olinordered__semiring__strict( tc_Int_Oint ) }.
% 0.73/1.34 { class_Groups_Oordered__ab__semigroup__add( tc_Int_Oint ) }.
% 0.73/1.34 { class_Groups_Oordered__ab__group__add__abs( tc_Int_Oint ) }.
% 0.73/1.34 { class_Groups_Oordered__comm__monoid__add( tc_Int_Oint ) }.
% 0.73/1.34 { class_Groups_Olinordered__ab__group__add( tc_Int_Oint ) }.
% 0.73/1.34 { class_Groups_Ocancel__ab__semigroup__add( tc_Int_Oint ) }.
% 0.73/1.34 { class_Rings_Oring__1__no__zero__divisors( tc_Int_Oint ) }.
% 0.73/1.34 { class_Rings_Oordered__cancel__semiring( tc_Int_Oint ) }.
% 0.73/1.34 { class_Rings_Olinordered__ring__strict( tc_Int_Oint ) }.
% 0.73/1.34 { class_Rings_Oring__no__zero__divisors( tc_Int_Oint ) }.
% 0.73/1.34 { class_Rings_Oordered__comm__semiring( tc_Int_Oint ) }.
% 0.73/1.34 { class_Groups_Oordered__ab__group__add( tc_Int_Oint ) }.
% 0.73/1.34 { class_Groups_Ocancel__semigroup__add( tc_Int_Oint ) }.
% 0.73/1.34 { class_Rings_Olinordered__semiring( tc_Int_Oint ) }.
% 0.73/1.34 { class_Rings_Olinordered__semidom( tc_Int_Oint ) }.
% 0.73/1.34 { class_Groups_Oab__semigroup__mult( tc_Int_Oint ) }.
% 0.73/1.34 { class_Groups_Ocomm__monoid__mult( tc_Int_Oint ) }.
% 0.73/1.34 { class_Groups_Oab__semigroup__add( tc_Int_Oint ) }.
% 0.73/1.34 { class_Rings_Oordered__semiring( tc_Int_Oint ) }.
% 0.73/1.34 { class_Rings_Oordered__ring__abs( tc_Int_Oint ) }.
% 0.73/1.34 { class_Rings_Ono__zero__divisors( tc_Int_Oint ) }.
% 0.73/1.34 { class_Groups_Ocomm__monoid__add( tc_Int_Oint ) }.
% 0.73/1.34 { class_Rings_Olinordered__ring( tc_Int_Oint ) }.
% 0.73/1.34 { class_Rings_Olinordered__idom( tc_Int_Oint ) }.
% 0.73/1.34 { class_Rings_Ocomm__semiring__1( tc_Int_Oint ) }.
% 0.73/1.34 { class_Divides_Osemiring__div( tc_Int_Oint ) }.
% 0.73/1.34 { class_Rings_Ocomm__semiring( tc_Int_Oint ) }.
% 0.73/1.34 { class_Groups_Oab__group__add( tc_Int_Oint ) }.
% 0.73/1.34 { class_Rings_Ozero__neq__one( tc_Int_Oint ) }.
% 0.73/1.34 { class_Rings_Oordered__ring( tc_Int_Oint ) }.
% 0.73/1.34 { class_Orderings_Opreorder( tc_Int_Oint ) }.
% 0.73/1.34 { class_Orderings_Olinorder( tc_Int_Oint ) }.
% 0.73/1.34 { class_Groups_Omonoid__mult( tc_Int_Oint ) }.
% 0.73/1.34 { class_Groups_Omonoid__add( tc_Int_Oint ) }.
% 0.73/1.34 { class_Rings_Osemiring__1( tc_Int_Oint ) }.
% 0.73/1.34 { class_Rings_Osemiring__0( tc_Int_Oint ) }.
% 0.73/1.34 { class_Groups_Ogroup__add( tc_Int_Oint ) }.
% 0.73/1.34 { class_Rings_Omult__zero( tc_Int_Oint ) }.
% 0.73/1.34 { class_Orderings_Oorder( tc_Int_Oint ) }.
% 0.73/1.34 { class_Int_Oring__char__0( tc_Int_Oint ) }.
% 0.73/1.34 { class_Int_Onumber__ring( tc_Int_Oint ) }.
% 0.73/1.34 { class_Rings_Osemiring( tc_Int_Oint ) }.
% 0.73/1.34 { class_Orderings_Oord( tc_Int_Oint ) }.
% 0.73/1.34 { class_Rings_Oring__1( tc_Int_Oint ) }.
% 0.73/1.34 { class_Power_Opower( tc_Int_Oint ) }.
% 0.73/1.34 { class_Groups_Ozero( tc_Int_Oint ) }.
% 0.73/1.34 { class_Rings_Oring( tc_Int_Oint ) }.
% 0.73/1.34 { class_Int_Onumber( tc_Int_Oint ) }.
% 0.73/1.34 { class_Groups_Oone( tc_Int_Oint ) }.
% 0.73/1.34 { class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(
% 0.73/1.34 tc_Nat_Onat ) }.
% 0.73/1.34 { class_Groups_Oordered__cancel__ab__semigroup__add( tc_Nat_Onat ) }.
% 0.73/1.34 { class_Groups_Oordered__ab__semigroup__add__imp__le( tc_Nat_Onat ) }.
% 0.73/1.34 { class_Rings_Olinordered__comm__semiring__strict( tc_Nat_Onat ) }.
% 0.73/1.34 { class_Rings_Olinordered__semiring__strict( tc_Nat_Onat ) }.
% 0.73/1.34 { class_Groups_Oordered__ab__semigroup__add( tc_Nat_Onat ) }.
% 0.73/1.34 { class_Groups_Oordered__comm__monoid__add( tc_Nat_Onat ) }.
% 0.73/1.34 { class_Groups_Ocancel__ab__semigroup__add( tc_Nat_Onat ) }.
% 0.73/1.34 { class_Rings_Oordered__cancel__semiring( tc_Nat_Onat ) }.
% 0.73/1.34 { class_Rings_Oordered__comm__semiring( tc_Nat_Onat ) }.
% 0.73/1.34 { class_Groups_Ocancel__semigroup__add( tc_Nat_Onat ) }.
% 0.73/1.34 { class_Rings_Olinordered__semiring( tc_Nat_Onat ) }.
% 0.73/1.34 { class_Rings_Olinordered__semidom( tc_Nat_Onat ) }.
% 0.73/1.34 { class_Groups_Oab__semigroup__mult( tc_Nat_Onat ) }.
% 0.73/1.34 { class_Groups_Ocomm__monoid__mult( tc_Nat_Onat ) }.
% 0.73/1.34 { class_Groups_Oab__semigroup__add( tc_Nat_Onat ) }.
% 0.73/1.34 { class_Rings_Oordered__semiring( tc_Nat_Onat ) }.
% 0.73/1.34 { class_Rings_Ono__zero__divisors( tc_Nat_Onat ) }.
% 0.73/1.34 { class_Groups_Ocomm__monoid__add( tc_Nat_Onat ) }.
% 0.73/1.34 { class_Rings_Ocomm__semiring__1( tc_Nat_Onat ) }.
% 0.73/1.34 { class_Divides_Osemiring__div( tc_Nat_Onat ) }.
% 0.73/1.34 { class_Rings_Ocomm__semiring( tc_Nat_Onat ) }.
% 0.73/1.34 { class_Rings_Ozero__neq__one( tc_Nat_Onat ) }.
% 0.73/1.34 { class_Orderings_Opreorder( tc_Nat_Onat ) }.
% 0.73/1.34 { class_Orderings_Olinorder( tc_Nat_Onat ) }.
% 0.73/1.34 { class_Groups_Omonoid__mult( tc_Nat_Onat ) }.
% 0.73/1.34 { class_Groups_Omonoid__add( tc_Nat_Onat ) }.
% 0.73/1.34 { class_Rings_Osemiring__1( tc_Nat_Onat ) }.
% 0.73/1.34 { class_Rings_Osemiring__0( tc_Nat_Onat ) }.
% 0.73/1.34 { class_Rings_Omult__zero( tc_Nat_Onat ) }.
% 0.73/1.34 { class_Orderings_Oorder( tc_Nat_Onat ) }.
% 0.73/1.34 { class_Rings_Osemiring( tc_Nat_Onat ) }.
% 0.73/1.34 { class_Orderings_Oord( tc_Nat_Onat ) }.
% 0.73/1.34 { class_Power_Opower( tc_Nat_Onat ) }.
% 0.73/1.34 { class_Groups_Ozero( tc_Nat_Onat ) }.
% 0.73/1.34 { class_Int_Onumber( tc_Nat_Onat ) }.
% 0.73/1.34 { class_Groups_Oone( tc_Nat_Onat ) }.
% 0.73/1.34 { class_Orderings_Opreorder( tc_HOL_Obool ) }.
% 0.73/1.34 { class_Orderings_Oorder( tc_HOL_Obool ) }.
% 0.73/1.34 { class_Orderings_Oord( tc_HOL_Obool ) }.
% 0.73/1.34 { class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(
% 0.73/1.34 tc_RealDef_Oreal ) }.
% 0.73/1.34 { class_Groups_Oordered__cancel__ab__semigroup__add( tc_RealDef_Oreal ) }.
% 0.73/1.34 { class_Groups_Oordered__ab__semigroup__add__imp__le( tc_RealDef_Oreal ) }
% 0.73/1.34 .
% 0.73/1.34 { class_Rings_Olinordered__comm__semiring__strict( tc_RealDef_Oreal ) }.
% 0.73/1.34 { class_Fields_Olinordered__field__inverse__zero( tc_RealDef_Oreal ) }.
% 0.73/1.34 { class_RealVector_Oreal__normed__div__algebra( tc_RealDef_Oreal ) }.
% 0.73/1.34 { class_Rings_Olinordered__semiring__strict( tc_RealDef_Oreal ) }.
% 0.73/1.34 { class_Rings_Odivision__ring__inverse__zero( tc_RealDef_Oreal ) }.
% 0.73/1.34 { class_RealVector_Oreal__normed__algebra__1( tc_RealDef_Oreal ) }.
% 0.73/1.34 { class_Groups_Oordered__ab__semigroup__add( tc_RealDef_Oreal ) }.
% 0.73/1.34 { class_Groups_Oordered__ab__group__add__abs( tc_RealDef_Oreal ) }.
% 0.73/1.34 { class_RealVector_Oreal__normed__algebra( tc_RealDef_Oreal ) }.
% 0.73/1.34 { class_Groups_Oordered__comm__monoid__add( tc_RealDef_Oreal ) }.
% 0.73/1.34 { class_Groups_Olinordered__ab__group__add( tc_RealDef_Oreal ) }.
% 0.73/1.34 { class_Groups_Ocancel__ab__semigroup__add( tc_RealDef_Oreal ) }.
% 0.73/1.34 { class_Rings_Oring__1__no__zero__divisors( tc_RealDef_Oreal ) }.
% 0.73/1.34 { class_Rings_Oordered__cancel__semiring( tc_RealDef_Oreal ) }.
% 0.73/1.34 { class_RealVector_Oreal__normed__vector( tc_RealDef_Oreal ) }.
% 0.73/1.34 { class_Rings_Olinordered__ring__strict( tc_RealDef_Oreal ) }.
% 0.73/1.34 { class_RealVector_Oreal__normed__field( tc_RealDef_Oreal ) }.
% 0.73/1.34 { class_Rings_Oring__no__zero__divisors( tc_RealDef_Oreal ) }.
% 0.73/1.34 { class_Rings_Oordered__comm__semiring( tc_RealDef_Oreal ) }.
% 0.73/1.34 { class_Groups_Oordered__ab__group__add( tc_RealDef_Oreal ) }.
% 0.73/1.34 { class_Groups_Ocancel__semigroup__add( tc_RealDef_Oreal ) }.
% 0.73/1.34 { class_Rings_Olinordered__semiring( tc_RealDef_Oreal ) }.
% 0.73/1.34 { class_Fields_Ofield__inverse__zero( tc_RealDef_Oreal ) }.
% 0.73/1.34 { class_Rings_Olinordered__semidom( tc_RealDef_Oreal ) }.
% 0.73/1.34 { class_Groups_Oab__semigroup__mult( tc_RealDef_Oreal ) }.
% 0.73/1.34 { class_Groups_Ocomm__monoid__mult( tc_RealDef_Oreal ) }.
% 0.73/1.34 { class_Groups_Oab__semigroup__add( tc_RealDef_Oreal ) }.
% 0.73/1.34 { class_Fields_Olinordered__field( tc_RealDef_Oreal ) }.
% 0.73/1.34 { class_Rings_Oordered__semiring( tc_RealDef_Oreal ) }.
% 0.73/1.34 { class_Rings_Oordered__ring__abs( tc_RealDef_Oreal ) }.
% 0.73/1.34 { class_Rings_Ono__zero__divisors( tc_RealDef_Oreal ) }.
% 0.73/1.34 { class_Groups_Ocomm__monoid__add( tc_RealDef_Oreal ) }.
% 0.73/1.34 { class_Rings_Olinordered__ring( tc_RealDef_Oreal ) }.
% 0.73/1.34 { class_Rings_Olinordered__idom( tc_RealDef_Oreal ) }.
% 0.73/1.34 { class_Rings_Ocomm__semiring__1( tc_RealDef_Oreal ) }.
% 0.73/1.34 { class_Rings_Odivision__ring( tc_RealDef_Oreal ) }.
% 0.73/1.34 { class_Rings_Ocomm__semiring( tc_RealDef_Oreal ) }.
% 0.73/1.34 { class_Groups_Oab__group__add( tc_RealDef_Oreal ) }.
% 0.73/1.34 { class_Rings_Ozero__neq__one( tc_RealDef_Oreal ) }.
% 0.73/1.34 { class_Rings_Oordered__ring( tc_RealDef_Oreal ) }.
% 0.73/1.34 { class_Orderings_Opreorder( tc_RealDef_Oreal ) }.
% 0.73/1.34 { class_Orderings_Olinorder( tc_RealDef_Oreal ) }.
% 0.73/1.34 { class_Groups_Omonoid__mult( tc_RealDef_Oreal ) }.
% 0.73/1.34 { class_Groups_Omonoid__add( tc_RealDef_Oreal ) }.
% 0.73/1.34 { class_Rings_Osemiring__1( tc_RealDef_Oreal ) }.
% 0.73/1.34 { class_Rings_Osemiring__0( tc_RealDef_Oreal ) }.
% 0.73/1.34 { class_Groups_Ogroup__add( tc_RealDef_Oreal ) }.
% 0.73/1.34 { class_Rings_Omult__zero( tc_RealDef_Oreal ) }.
% 0.73/1.34 { class_Orderings_Oorder( tc_RealDef_Oreal ) }.
% 0.73/1.34 { class_Int_Oring__char__0( tc_RealDef_Oreal ) }.
% 0.73/1.34 { class_Int_Onumber__ring( tc_RealDef_Oreal ) }.
% 0.73/1.34 { class_Rings_Osemiring( tc_RealDef_Oreal ) }.
% 0.73/1.34 { class_Orderings_Oord( tc_RealDef_Oreal ) }.
% 0.73/1.34 { class_Rings_Oring__1( tc_RealDef_Oreal ) }.
% 0.73/1.34 { class_Fields_Ofield( tc_RealDef_Oreal ) }.
% 0.73/1.34 { class_Power_Opower( tc_RealDef_Oreal ) }.
% 0.73/1.34 { class_Groups_Ozero( tc_RealDef_Oreal ) }.
% 0.73/1.34 { class_Rings_Oring( tc_RealDef_Oreal ) }.
% 0.73/1.34 { class_Int_Onumber( tc_RealDef_Oreal ) }.
% 0.73/1.34 { class_Groups_Oone( tc_RealDef_Oreal ) }.
% 0.73/1.34 { class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(
% 0.73/1.34 tc_Complex_Ocomplex ) }.
% 0.73/1.34 { class_RealVector_Oreal__normed__div__algebra( tc_Complex_Ocomplex ) }.
% 0.73/1.34 { class_Rings_Odivision__ring__inverse__zero( tc_Complex_Ocomplex ) }.
% 0.73/1.34 { class_RealVector_Oreal__normed__algebra__1( tc_Complex_Ocomplex ) }.
% 0.73/1.34 { class_RealVector_Oreal__normed__algebra( tc_Complex_Ocomplex ) }.
% 0.73/1.34 { class_Groups_Ocancel__ab__semigroup__add( tc_Complex_Ocomplex ) }.
% 0.73/1.34 { class_Rings_Oring__1__no__zero__divisors( tc_Complex_Ocomplex ) }.
% 0.73/1.34 { class_RealVector_Oreal__normed__vector( tc_Complex_Ocomplex ) }.
% 0.73/1.34 { class_RealVector_Oreal__normed__field( tc_Complex_Ocomplex ) }.
% 0.73/1.34 { class_Rings_Oring__no__zero__divisors( tc_Complex_Ocomplex ) }.
% 0.73/1.34 { class_Groups_Ocancel__semigroup__add( tc_Complex_Ocomplex ) }.
% 0.73/1.34 { class_Fields_Ofield__inverse__zero( tc_Complex_Ocomplex ) }.
% 0.73/1.34 { class_Groups_Oab__semigroup__mult( tc_Complex_Ocomplex ) }.
% 0.73/1.34 { class_Groups_Ocomm__monoid__mult( tc_Complex_Ocomplex ) }.
% 0.73/1.34 { class_Groups_Oab__semigroup__add( tc_Complex_Ocomplex ) }.
% 0.73/1.34 { class_Rings_Ono__zero__divisors( tc_Complex_Ocomplex ) }.
% 0.73/1.34 { class_Groups_Ocomm__monoid__add( tc_Complex_Ocomplex ) }.
% 0.73/1.34 { class_Rings_Ocomm__semiring__1( tc_Complex_Ocomplex ) }.
% 0.73/1.34 { class_Rings_Odivision__ring( tc_Complex_Ocomplex ) }.
% 0.73/1.34 { class_Rings_Ocomm__semiring( tc_Complex_Ocomplex ) }.
% 0.73/1.34 { class_Groups_Oab__group__add( tc_Complex_Ocomplex ) }.
% 0.73/1.34 { class_Rings_Ozero__neq__one( tc_Complex_Ocomplex ) }.
% 0.73/1.34 { class_Groups_Omonoid__mult( tc_Complex_Ocomplex ) }.
% 0.73/1.34 { class_Groups_Omonoid__add( tc_Complex_Ocomplex ) }.
% 0.73/1.34 { class_Rings_Osemiring__1( tc_Complex_Ocomplex ) }.
% 0.73/1.34 { class_Rings_Osemiring__0( tc_Complex_Ocomplex ) }.
% 0.73/1.34 { class_Groups_Ogroup__add( tc_Complex_Ocomplex ) }.
% 0.73/1.34 { class_Rings_Omult__zero( tc_Complex_Ocomplex ) }.
% 0.73/1.34 { class_Int_Oring__char__0( tc_Complex_Ocomplex ) }.
% 0.73/1.34 { class_Int_Onumber__ring( tc_Complex_Ocomplex ) }.
% 0.73/1.34 { class_Rings_Osemiring( tc_Complex_Ocomplex ) }.
% 0.73/1.34 { class_Rings_Oring__1( tc_Complex_Ocomplex ) }.
% 0.73/1.34 { class_Fields_Ofield( tc_Complex_Ocomplex ) }.
% 0.73/1.34 { class_Power_Opower( tc_Complex_Ocomplex ) }.
% 0.73/1.34 { class_Groups_Ozero( tc_Complex_Ocomplex ) }.
% 0.73/1.34 { class_Rings_Oring( tc_Complex_Ocomplex ) }.
% 0.73/1.34 { class_Int_Onumber( tc_Complex_Ocomplex ) }.
% 0.73/1.34 { class_Groups_Oone( tc_Complex_Ocomplex ) }.
% 0.73/1.34 { class_Groups_Oordered__cancel__ab__semigroup__add(
% 0.73/1.34 tc_Code__Numeral_Ocode__numeral ) }.
% 0.73/1.34 { class_Groups_Oordered__ab__semigroup__add__imp__le(
% 0.73/1.34 tc_Code__Numeral_Ocode__numeral ) }.
% 0.73/1.34 { class_Rings_Olinordered__comm__semiring__strict(
% 0.73/1.34 tc_Code__Numeral_Ocode__numeral ) }.
% 0.73/1.34 { class_Rings_Olinordered__semiring__strict(
% 0.73/1.34 tc_Code__Numeral_Ocode__numeral ) }.
% 0.73/1.34 { class_Groups_Oordered__ab__semigroup__add(
% 0.73/1.34 tc_Code__Numeral_Ocode__numeral ) }.
% 0.73/1.34 { class_Groups_Oordered__comm__monoid__add( tc_Code__Numeral_Ocode__numeral
% 0.73/1.34 ) }.
% 0.73/1.34 { class_Groups_Ocancel__ab__semigroup__add( tc_Code__Numeral_Ocode__numeral
% 0.73/1.34 ) }.
% 0.73/1.34 { class_Rings_Oordered__cancel__semiring( tc_Code__Numeral_Ocode__numeral )
% 0.73/1.34 }.
% 0.73/1.34 { class_Rings_Oordered__comm__semiring( tc_Code__Numeral_Ocode__numeral ) }
% 0.73/1.34 .
% 0.73/1.34 { class_Groups_Ocancel__semigroup__add( tc_Code__Numeral_Ocode__numeral ) }
% 0.73/1.34 .
% 0.73/1.34 { class_Rings_Olinordered__semiring( tc_Code__Numeral_Ocode__numeral ) }.
% 0.73/1.34 { class_Rings_Olinordered__semidom( tc_Code__Numeral_Ocode__numeral ) }.
% 0.73/1.34 { class_Groups_Oab__semigroup__mult( tc_Code__Numeral_Ocode__numeral ) }.
% 0.73/1.34 { class_Groups_Ocomm__monoid__mult( tc_Code__Numeral_Ocode__numeral ) }.
% 0.73/1.34 { class_Groups_Oab__semigroup__add( tc_Code__Numeral_Ocode__numeral ) }.
% 0.73/1.34 { class_Rings_Oordered__semiring( tc_Code__Numeral_Ocode__numeral ) }.
% 0.73/1.34 { class_Rings_Ono__zero__divisors( tc_Code__Numeral_Ocode__numeral ) }.
% 0.73/1.34 { class_Groups_Ocomm__monoid__add( tc_Code__Numeral_Ocode__numeral ) }.
% 0.73/1.34 { class_Rings_Ocomm__semiring__1( tc_Code__Numeral_Ocode__numeral ) }.
% 0.73/1.34 { class_Divides_Osemiring__div( tc_Code__Numeral_Ocode__numeral ) }.
% 0.73/1.34 { class_Rings_Ocomm__semiring( tc_Code__Numeral_Ocode__numeral ) }.
% 0.73/1.34 { class_Rings_Ozero__neq__one( tc_Code__Numeral_Ocode__numeral ) }.
% 0.73/1.34 { class_Orderings_Opreorder( tc_Code__Numeral_Ocode__numeral ) }.
% 0.73/1.34 { class_Orderings_Olinorder( tc_Code__Numeral_Ocode__numeral ) }.
% 0.73/1.34 { class_Groups_Omonoid__mult( tc_Code__Numeral_Ocode__numeral ) }.
% 0.73/1.34 { class_Groups_Omonoid__add( tc_Code__Numeral_Ocode__numeral ) }.
% 0.73/1.34 { class_Rings_Osemiring__1( tc_Code__Numeral_Ocode__numeral ) }.
% 0.73/1.34 { class_Rings_Osemiring__0( tc_Code__Numeral_Ocode__numeral ) }.
% 0.73/1.34 { class_Rings_Omult__zero( tc_Code__Numeral_Ocode__numeral ) }.
% 0.73/1.34 { class_Orderings_Oorder( tc_Code__Numeral_Ocode__numeral ) }.
% 0.73/1.34 { class_Rings_Osemiring( tc_Code__Numeral_Ocode__numeral ) }.
% 0.73/1.34 { class_Orderings_Oord( tc_Code__Numeral_Ocode__numeral ) }.
% 0.73/1.34 { class_Power_Opower( tc_Code__Numeral_Ocode__numeral ) }.
% 0.73/1.34 { class_Groups_Ozero( tc_Code__Numeral_Ocode__numeral ) }.
% 0.73/1.34 { class_Int_Onumber( tc_Code__Numeral_Ocode__numeral ) }.
% 0.73/1.34 { class_Groups_Oone( tc_Code__Numeral_Ocode__numeral ) }.
% 0.73/1.34 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.73/1.34 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.73/1.34 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, v_s( hAPP(
% 0.73/1.34 c_Fun_Ocomp( tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat, v_f____, v_ga____ ),
% 0.73/1.34 v_n____ ) ), c_Complex_Ocomplex_OComplex( v_x____, v_y____ ) ) ), v_e____
% 0.73/1.34 ) }.
% 0.73/1.34
% 0.73/1.34 *** allocated 15000 integers for clauses
% 0.73/1.34 *** allocated 22500 integers for clauses
% 0.73/1.34 *** allocated 33750 integers for clauses
% 0.73/1.34 *** allocated 50625 integers for clauses
% 0.73/1.34 *** allocated 75937 integers for clauses
% 0.73/1.34 percentage equality = 0.243621, percentage horn = 0.905448
% 0.73/1.34 This is a problem with some equality
% 0.73/1.34
% 0.73/1.34
% 0.73/1.34
% 0.73/1.34 Options Used:
% 0.73/1.34
% 0.73/1.34 useres = 1
% 0.73/1.34 useparamod = 1
% 0.73/1.34 useeqrefl = 1
% 0.73/1.34 useeqfact = 1
% 0.73/1.34 usefactor = 1
% 0.73/1.34 usesimpsplitting = 0
% 0.73/1.34 usesimpdemod = 5
% 0.73/1.34 usesimpres = 3
% 0.73/1.34
% 0.73/1.34 resimpinuse = 1000
% 0.73/1.34 resimpclauses = 20000
% 0.73/1.34 substype = eqrewr
% 0.73/1.34 backwardsubs = 1
% 0.73/1.34 selectoldest = 5
% 0.73/1.34
% 0.73/1.34 litorderings [0] = split
% 0.73/1.34 litorderings [1] = extend the termordering, first sorting on arguments
% 0.73/1.34
% 0.73/1.34 termordering = kbo
% 0.73/1.34
% 0.73/1.34 litapriori = 0
% 0.73/1.34 termapriori = 1
% 0.73/1.34 litaposteriori = 0
% 0.73/1.34 termaposteriori = 0
% 0.73/1.34 demodaposteriori = 0
% 0.73/1.34 ordereqreflfact = 0
% 0.73/1.34
% 0.73/1.34 litselect = negord
% 0.73/1.34
% 0.73/1.34 maxweight = 15
% 0.73/1.34 maxdepth = 30000
% 0.73/1.34 maxlength = 115
% 0.73/1.34 maxnrvars = 195
% 0.73/1.34 excuselevel = 1
% 0.73/1.34 increasemaxweight = 1
% 0.73/1.34
% 0.73/1.34 maxselected = 10000000
% 0.73/1.34 maxnrclauses = 10000000
% 0.73/1.34
% 0.73/1.34 showgenerated = 0
% 0.73/1.34 showkept = 0
% 0.73/1.34 showselected = 0
% 0.73/1.34 showdeleted = 0
% 0.73/1.34 showresimp = 1
% 0.73/1.34 showstatus = 2000
% 0.73/1.34
% 0.73/1.34 prologoutput = 0
% 0.73/1.34 nrgoals = 5000000
% 0.73/1.34 totalproof = 1
% 0.73/1.34
% 0.73/1.34 Symbols occurring in the translation:
% 0.73/1.34
% 0.73/1.34 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.73/1.34 . [1, 2] (w:1, o:213, a:1, s:1, b:0),
% 0.73/1.34 ! [4, 1] (w:0, o:122, a:1, s:1, b:0),
% 0.73/1.34 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.34 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.34 hAPP [38, 2] (w:1, o:237, a:1, s:1, b:0),
% 0.73/1.34 v_f____ [39, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.73/1.34 c_SEQ_Osubseq [40, 1] (w:1, o:129, a:1, s:1, b:0),
% 0.73/1.34 v_ga____ [41, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.73/1.34 tc_RealDef_Oreal [42, 0] (w:1, o:20, a:1, s:1, b:0),
% 0.73/1.34 c_Groups_Ozero__class_Ozero [43, 1] (w:1, o:131, a:1, s:1, b:0),
% 0.73/1.34 v_e____ [44, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.73/1.34 c_Orderings_Oord__class_Oless [45, 3] (w:1, o:270, a:1, s:1, b:0),
% 0.73/1.34 tc_Nat_Onat [46, 0] (w:1, o:21, a:1, s:1, b:0),
% 0.73/1.34 c_Fun_Ocomp [47, 5] (w:1, o:333, a:1, s:1, b:0),
% 0.73/1.34 tc_Complex_Ocomplex [49, 0] (w:1, o:24, a:1, s:1, b:0),
% 0.73/1.34 v_s [50, 1] (w:1, o:132, a:1, s:1, b:0),
% 0.73/1.34 c_RealVector_Onorm__class_Onorm [51, 2] (w:1, o:238, a:1, s:1, b:0),
% 0.73/1.34
% 0.73/1.34 v_r [52, 0] (w:1, o:25, a:1, s:1, b:0),
% 0.73/1.34 c_Orderings_Oord__class_Oless__eq [53, 3] (w:1, o:271, a:1, s:1, b:0)
% 0.73/1.34 ,
% 0.73/1.34 class_RealVector_Oreal__normed__vector [57, 1] (w:1, o:133, a:1, s:1
% 0.73/1.34 , b:0),
% 0.73/1.34 c_Groups_Ominus__class_Ominus [58, 3] (w:1, o:272, a:1, s:1, b:0),
% 0.73/1.34 class_Groups_Oordered__ab__group__add [63, 1] (w:1, o:138, a:1, s:1
% 0.73/1.34 , b:0),
% 0.73/1.34 v_N1____ [64, 0] (w:1, o:36, a:1, s:1, b:0),
% 0.73/1.34 v_n____ [65, 0] (w:1, o:37, a:1, s:1, b:0),
% 0.73/1.34 c_Complex_Ocomplex_OComplex [70, 2] (w:1, o:239, a:1, s:1, b:0),
% 0.73/1.34 v_N2____ [82, 0] (w:1, o:61, a:1, s:1, b:0),
% 0.73/1.34 class_Groups_Ozero [84, 1] (w:1, o:139, a:1, s:1, b:0),
% 0.73/1.34 class_Groups_Ogroup__add [86, 1] (w:1, o:140, a:1, s:1, b:0),
% 0.73/1.34 class_Groups_Oab__group__add [87, 1] (w:1, o:141, a:1, s:1, b:0),
% 0.73/1.34 c_Groups_Oplus__class_Oplus [90, 3] (w:1, o:273, a:1, s:1, b:0),
% 0.73/1.34 class_Orderings_Opreorder [91, 1] (w:1, o:144, a:1, s:1, b:0),
% 0.73/1.34 c_Complex_Ocomplex_Ocomplex__case [93, 3] (w:1, o:274, a:1, s:1, b:0)
% 0.73/1.34 ,
% 0.73/1.34 c_Complex_Ocomplex_Ocomplex__rec [94, 3] (w:1, o:275, a:1, s:1, b:0)
% 0.73/1.34 ,
% 0.73/1.34 class_Orderings_Oorder [98, 1] (w:1, o:142, a:1, s:1, b:0),
% 0.73/1.34 class_Groups_Oab__semigroup__add [99, 1] (w:1, o:145, a:1, s:1, b:0)
% 0.73/1.34 ,
% 0.73/1.34 class_Groups_Ocancel__semigroup__add [100, 1] (w:1, o:146, a:1, s:1
% 0.73/1.34 , b:0),
% 0.73/1.34 class_Groups_Ocancel__ab__semigroup__add [101, 1] (w:1, o:147, a:1
% 0.73/1.34 , s:1, b:0),
% 0.73/1.34 class_Groups_Ocomm__monoid__add [104, 1] (w:1, o:148, a:1, s:1, b:0)
% 0.73/1.34 ,
% 0.73/1.34 class_Groups_Omonoid__add [105, 1] (w:1, o:150, a:1, s:1, b:0),
% 0.73/1.34 class_Groups_Olinordered__ab__group__add [106, 1] (w:1, o:149, a:1
% 0.73/1.34 , s:1, b:0),
% 0.73/1.34 class_Groups_Oordered__ab__semigroup__add__imp__le [107, 1] (w:1, o:
% 0.73/1.34 151, a:1, s:1, b:0),
% 0.73/1.34 class_Groups_Oordered__ab__semigroup__add [108, 1] (w:1, o:152, a:1
% 0.73/1.34 , s:1, b:0),
% 0.73/1.34 class_Groups_Oordered__cancel__ab__semigroup__add [109, 1] (w:1, o:
% 0.73/1.34 153, a:1, s:1, b:0),
% 0.73/1.34 class_Groups_Oordered__comm__monoid__add [110, 1] (w:1, o:154, a:1
% 0.73/1.34 , s:1, b:0),
% 0.73/1.34 class_Orderings_Olinorder [111, 1] (w:1, o:155, a:1, s:1, b:0),
% 0.73/1.34 class_Orderings_Oord [112, 1] (w:1, o:143, a:1, s:1, b:0),
% 0.73/1.34 tc_fun [113, 2] (w:1, o:249, a:1, s:1, b:0),
% 0.73/1.34 c_Complex_Ocomplex_Ocomplex__size [122, 1] (w:1, o:156, a:1, s:1, b:0
% 0.73/1.34 ),
% 0.73/1.34 hBOOL [124, 1] (w:1, o:157, a:1, s:1, b:0),
% 0.73/1.34 class_Rings_Olinordered__semidom [127, 1] (w:1, o:160, a:1, s:1, b:0)
% 0.73/1.34 ,
% 0.73/1.34 class_Rings_Olinordered__idom [128, 1] (w:1, o:161, a:1, s:1, b:0),
% 0.73/1.34 c_Nat_Osize__class_Osize [129, 2] (w:1, o:250, a:1, s:1, b:0),
% 0.73/1.34 v_x____ [137, 0] (w:1, o:95, a:1, s:1, b:0),
% 0.73/1.34 v_y____ [138, 0] (w:1, o:96, a:1, s:1, b:0),
% 0.73/1.34 c_Complex_ORe [139, 1] (w:1, o:162, a:1, s:1, b:0),
% 0.73/1.34 c_Groups_Oabs__class_Oabs [140, 2] (w:1, o:251, a:1, s:1, b:0),
% 0.73/1.34 c_Complex_OIm [141, 1] (w:1, o:163, a:1, s:1, b:0),
% 0.73/1.34 c_SEQ_Odecseq [144, 2] (w:1, o:253, a:1, s:1, b:0),
% 0.73/1.34 class_Rings_Ocomm__semiring__1 [145, 1] (w:1, o:164, a:1, s:1, b:0),
% 0.73/1.34
% 0.73/1.34 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct [
% 0.73/1.34 146, 1] (w:1, o:190, a:1, s:1, b:0),
% 0.73/1.34 c_SEQ_OBseq [147, 2] (w:1, o:254, a:1, s:1, b:0),
% 0.73/1.34 class_Groups_Oordered__ab__group__add__abs [149, 1] (w:1, o:191, a:1
% 0.73/1.34 , s:1, b:0),
% 0.73/1.34 c_Groups_Oone__class_Oone [152, 1] (w:1, o:192, a:1, s:1, b:0),
% 0.73/1.34 class_Groups_Oone [155, 1] (w:1, o:193, a:1, s:1, b:0),
% 0.73/1.34 class_RealVector_Oreal__normed__algebra__1 [156, 1] (w:1, o:165, a:1
% 0.73/1.34 , s:1, b:0),
% 0.73/1.34 class_Rings_Ozero__neq__one [157, 1] (w:1, o:166, a:1, s:1, b:0),
% 0.73/1.34 c_Int_OPls [160, 0] (w:1, o:104, a:1, s:1, b:0),
% 0.73/1.34 c_Int_OBit1 [161, 1] (w:1, o:195, a:1, s:1, b:0),
% 0.73/1.34 c_Int_OBit0 [162, 1] (w:1, o:194, a:1, s:1, b:0),
% 0.73/1.34 c_Int_Onumber__class_Onumber__of [163, 2] (w:1, o:255, a:1, s:1, b:0)
% 0.73/1.34 ,
% 0.73/1.34 c_Rings_Oinverse__class_Odivide [164, 3] (w:1, o:276, a:1, s:1, b:0)
% 0.73/1.34 ,
% 0.73/1.34 c_SEQ_Oincseq [165, 2] (w:1, o:256, a:1, s:1, b:0),
% 0.73/1.34 class_Fields_Olinordered__field__inverse__zero [167, 1] (w:1, o:134
% 0.73/1.34 , a:1, s:1, b:0),
% 0.73/1.34 class_Int_Onumber__ring [168, 1] (w:1, o:196, a:1, s:1, b:0),
% 0.73/1.34 tc_Int_Oint [169, 0] (w:1, o:107, a:1, s:1, b:0),
% 0.73/1.34 class_Fields_Ofield__inverse__zero [171, 1] (w:1, o:135, a:1, s:1, b:
% 0.73/1.34 0),
% 0.73/1.34 class_RealVector_Oreal__normed__field [172, 1] (w:1, o:167, a:1, s:1
% 0.73/1.34 , b:0),
% 0.73/1.34 class_Fields_Ofield [175, 1] (w:1, o:136, a:1, s:1, b:0),
% 0.73/1.34 class_Int_Onumber [177, 1] (w:1, o:197, a:1, s:1, b:0),
% 0.73/1.34 class_Int_Oring__char__0 [178, 1] (w:1, o:198, a:1, s:1, b:0),
% 0.73/1.34 class_Rings_Odivision__ring__inverse__zero [179, 1] (w:1, o:169, a:1
% 0.73/1.34 , s:1, b:0),
% 0.73/1.34 class_Rings_Odivision__ring [180, 1] (w:1, o:170, a:1, s:1, b:0),
% 0.73/1.34 class_Fields_Olinordered__field [182, 1] (w:1, o:137, a:1, s:1, b:0)
% 0.73/1.34 ,
% 0.73/1.34 c_Complex_Oii [193, 0] (w:1, o:115, a:1, s:1, b:0),
% 0.73/1.34 c_RComplete_Onatceiling [194, 1] (w:1, o:127, a:1, s:1, b:0),
% 0.73/1.34 c_Int_Osucc [195, 1] (w:1, o:199, a:1, s:1, b:0),
% 0.73/1.34 c_Nat__Numeral_Oneg [196, 1] (w:1, o:200, a:1, s:1, b:0),
% 0.73/1.34 c_Int_Opred [197, 1] (w:1, o:201, a:1, s:1, b:0),
% 0.73/1.34 c_RComplete_Onatfloor [199, 1] (w:1, o:128, a:1, s:1, b:0),
% 0.73/1.34 c_Nat__Transfer_Otsub [200, 2] (w:1, o:257, a:1, s:1, b:0),
% 0.73/1.34 c_RealDef_Oreal [201, 2] (w:1, o:252, a:1, s:1, b:0),
% 0.73/1.34 tc_Code__Numeral_Ocode__numeral [202, 0] (w:1, o:117, a:1, s:1, b:0)
% 0.73/1.34 ,
% 0.73/1.34 c_Divides_Odiv__class_Odiv [203, 3] (w:1, o:277, a:1, s:1, b:0),
% 0.73/1.34 c_Power_Opower__class_Opower [204, 3] (w:1, o:278, a:1, s:1, b:0),
% 0.73/1.34 class_RealVector_Oreal__normed__div__algebra [205, 1] (w:1, o:171, a:
% 0.73/1.34 1, s:1, b:0),
% 0.73/1.34 class_Power_Opower [206, 1] (w:1, o:202, a:1, s:1, b:0),
% 0.73/1.34 class_Rings_Omult__zero [207, 1] (w:1, o:175, a:1, s:1, b:0),
% 0.73/1.34 class_Rings_Ono__zero__divisors [208, 1] (w:1, o:176, a:1, s:1, b:0)
% 0.73/1.34 ,
% 0.73/1.34 class_Rings_Osemiring__0 [209, 1] (w:1, o:181, a:1, s:1, b:0),
% 0.73/1.34 class_Rings_Oring__1__no__zero__divisors [210, 1] (w:1, o:177, a:1
% 0.73/1.34 , s:1, b:0),
% 0.73/1.34 class_Rings_Osemiring__1 [211, 1] (w:1, o:182, a:1, s:1, b:0),
% 0.73/1.34 class_Divides_Osemiring__div [212, 1] (w:1, o:203, a:1, s:1, b:0),
% 0.73/1.34 class_Groups_Omonoid__mult [215, 1] (w:1, o:204, a:1, s:1, b:0),
% 0.73/1.34 c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt [217, 1] (w:1, o:
% 0.73/1.34 130, a:1, s:1, b:0),
% 0.73/1.34 c_NthRoot_Osqrt [219, 1] (w:1, o:205, a:1, s:1, b:0),
% 0.73/1.34 c_Groups_Otimes__class_Otimes [221, 3] (w:1, o:279, a:1, s:1, b:0),
% 0.73/1.34 class_Groups_Ocomm__monoid__mult [222, 1] (w:1, o:206, a:1, s:1, b:0)
% 0.73/1.34 ,
% 0.73/1.34 class_Rings_Oordered__cancel__semiring [225, 1] (w:1, o:183, a:1, s:1
% 0.73/1.34 , b:0),
% 0.73/1.34 class_Rings_Oordered__ring [226, 1] (w:1, o:184, a:1, s:1, b:0),
% 0.73/1.34 class_Rings_Oordered__semiring [227, 1] (w:1, o:186, a:1, s:1, b:0),
% 0.73/1.34
% 0.73/1.34 class_Rings_Oordered__comm__semiring [228, 1] (w:1, o:187, a:1, s:1
% 0.73/1.34 , b:0),
% 0.73/1.34 class_Rings_Olinordered__ring__strict [229, 1] (w:1, o:158, a:1, s:1
% 2.69/3.15 , b:0),
% 2.69/3.15 class_Rings_Olinordered__ring [230, 1] (w:1, o:159, a:1, s:1, b:0),
% 2.69/3.15 class_Rings_Olinordered__comm__semiring__strict [231, 1] (w:1, o:172
% 2.69/3.15 , a:1, s:1, b:0),
% 2.69/3.15 class_Rings_Olinordered__semiring__strict [232, 1] (w:1, o:173, a:1
% 2.69/3.15 , s:1, b:0),
% 2.69/3.15 class_Rings_Osemiring [233, 1] (w:1, o:188, a:1, s:1, b:0),
% 2.69/3.15 class_Rings_Oring [234, 1] (w:1, o:178, a:1, s:1, b:0),
% 2.69/3.15 class_RealVector_Oreal__normed__algebra [235, 1] (w:1, o:189, a:1, s:
% 2.69/3.15 1, b:0),
% 2.69/3.15 class_Groups_Oab__semigroup__mult [241, 1] (w:1, o:207, a:1, s:1, b:0
% 2.69/3.15 ),
% 2.69/3.15 class_Rings_Ocomm__semiring [243, 1] (w:1, o:168, a:1, s:1, b:0),
% 2.69/3.15 class_Rings_Oring__no__zero__divisors [244, 1] (w:1, o:179, a:1, s:1
% 2.69/3.15 , b:0),
% 2.69/3.15 class_Rings_Olinordered__semiring [245, 1] (w:1, o:174, a:1, s:1, b:0
% 2.69/3.15 ),
% 2.69/3.15 class_Rings_Oring__1 [246, 1] (w:1, o:180, a:1, s:1, b:0),
% 2.69/3.15 class_Rings_Oordered__ring__abs [247, 1] (w:1, o:185, a:1, s:1, b:0)
% 2.69/3.15 ,
% 2.69/3.15 tc_HOL_Obool [250, 0] (w:1, o:106, a:1, s:1, b:0),
% 2.69/3.15 alpha1 [251, 3] (w:1, o:280, a:1, s:1, b:1),
% 2.69/3.15 alpha2 [252, 3] (w:1, o:288, a:1, s:1, b:1),
% 2.69/3.15 alpha3 [253, 2] (w:1, o:259, a:1, s:1, b:1),
% 2.69/3.15 alpha4 [254, 2] (w:1, o:262, a:1, s:1, b:1),
% 2.69/3.15 alpha5 [255, 3] (w:1, o:289, a:1, s:1, b:1),
% 2.69/3.15 alpha6 [256, 3] (w:1, o:292, a:1, s:1, b:1),
% 2.69/3.15 alpha7 [257, 3] (w:1, o:293, a:1, s:1, b:1),
% 2.69/3.15 alpha8 [258, 3] (w:1, o:294, a:1, s:1, b:1),
% 2.69/3.15 alpha9 [259, 2] (w:1, o:263, a:1, s:1, b:1),
% 2.69/3.15 alpha10 [260, 2] (w:1, o:264, a:1, s:1, b:1),
% 2.69/3.15 alpha11 [261, 3] (w:1, o:281, a:1, s:1, b:1),
% 2.69/3.15 alpha12 [262, 3] (w:1, o:282, a:1, s:1, b:1),
% 2.69/3.15 alpha13 [263, 4] (w:1, o:313, a:1, s:1, b:1),
% 2.69/3.15 alpha14 [264, 4] (w:1, o:314, a:1, s:1, b:1),
% 2.69/3.15 alpha15 [265, 3] (w:1, o:283, a:1, s:1, b:1),
% 2.69/3.15 alpha16 [266, 3] (w:1, o:284, a:1, s:1, b:1),
% 2.69/3.15 alpha17 [267, 3] (w:1, o:285, a:1, s:1, b:1),
% 2.69/3.15 alpha18 [268, 3] (w:1, o:286, a:1, s:1, b:1),
% 2.69/3.15 alpha19 [269, 3] (w:1, o:287, a:1, s:1, b:1),
% 2.69/3.15 alpha20 [270, 3] (w:1, o:295, a:1, s:1, b:1),
% 2.69/3.15 alpha21 [271, 3] (w:1, o:296, a:1, s:1, b:1),
% 2.69/3.15 alpha22 [272, 3] (w:1, o:297, a:1, s:1, b:1),
% 2.69/3.15 alpha23 [273, 3] (w:1, o:298, a:1, s:1, b:1),
% 2.69/3.15 alpha24 [274, 3] (w:1, o:299, a:1, s:1, b:1),
% 2.69/3.15 alpha25 [275, 2] (w:1, o:258, a:1, s:1, b:1),
% 2.69/3.15 alpha26 [276, 3] (w:1, o:300, a:1, s:1, b:1),
% 2.69/3.15 alpha27 [277, 3] (w:1, o:301, a:1, s:1, b:1),
% 2.69/3.15 alpha28 [278, 3] (w:1, o:302, a:1, s:1, b:1),
% 2.69/3.15 alpha29 [279, 3] (w:1, o:303, a:1, s:1, b:1),
% 2.69/3.15 alpha30 [280, 2] (w:1, o:260, a:1, s:1, b:1),
% 2.69/3.15 alpha31 [281, 2] (w:1, o:261, a:1, s:1, b:1),
% 2.69/3.15 alpha32 [282, 3] (w:1, o:304, a:1, s:1, b:1),
% 2.69/3.15 alpha33 [283, 3] (w:1, o:305, a:1, s:1, b:1),
% 2.69/3.15 alpha34 [284, 4] (w:1, o:315, a:1, s:1, b:1),
% 2.69/3.15 alpha35 [285, 4] (w:1, o:316, a:1, s:1, b:1),
% 2.69/3.15 alpha36 [286, 4] (w:1, o:317, a:1, s:1, b:1),
% 2.69/3.15 alpha37 [287, 4] (w:1, o:318, a:1, s:1, b:1),
% 2.69/3.15 alpha38 [288, 4] (w:1, o:319, a:1, s:1, b:1),
% 2.69/3.15 alpha39 [289, 4] (w:1, o:320, a:1, s:1, b:1),
% 2.69/3.15 alpha40 [290, 4] (w:1, o:321, a:1, s:1, b:1),
% 2.69/3.15 alpha41 [291, 4] (w:1, o:322, a:1, s:1, b:1),
% 2.69/3.15 alpha42 [292, 4] (w:1, o:323, a:1, s:1, b:1),
% 2.69/3.15 alpha43 [293, 4] (w:1, o:324, a:1, s:1, b:1),
% 2.69/3.15 alpha44 [294, 2] (w:1, o:265, a:1, s:1, b:1),
% 2.69/3.15 alpha45 [295, 2] (w:1, o:266, a:1, s:1, b:1),
% 2.69/3.15 alpha46 [296, 4] (w:1, o:325, a:1, s:1, b:1),
% 2.69/3.15 alpha47 [297, 4] (w:1, o:326, a:1, s:1, b:1),
% 2.69/3.15 alpha48 [298, 2] (w:1, o:267, a:1, s:1, b:1),
% 2.69/3.15 alpha49 [299, 4] (w:1, o:327, a:1, s:1, b:1),
% 2.69/3.15 alpha50 [300, 4] (w:1, o:328, a:1, s:1, b:1),
% 2.69/3.15 alpha51 [301, 2] (w:1, o:268, a:1, s:1, b:1),
% 2.69/3.15 alpha52 [302, 4] (w:1, o:329, a:1, s:1, b:1),
% 2.69/3.15 alpha53 [303, 4] (w:1, o:330, a:1, s:1, b:1),
% 2.69/3.15 alpha54 [304, 3] (w:1, o:290, a:1, s:1, b:1),
% 2.69/3.15 alpha55 [305, 2] (w:1, o:269, a:1, s:1, b:1),
% 2.69/3.15 alpha56 [306, 3] (w:1, o:291, a:1, s:1, b:1),
% 2.69/3.15 skol1 [307, 2] (w:1, o:240, a:1, s:1, b:1),
% 2.69/3.15 skol2 [308, 3] (w:1, o:309, a:1, s:1, b:1),
% 2.69/3.15 skol3 [309, 1] (w:1, o:210, a:1, s:1, b:1),
% 18.28/18.69 skol4 [310, 3] (w:1, o:310, a:1, s:1, b:1),
% 18.28/18.69 skol5 [311, 3] (w:1, o:311, a:1, s:1, b:1),
% 18.28/18.69 skol6 [312, 2] (w:1, o:241, a:1, s:1, b:1),
% 18.28/18.69 skol7 [313, 2] (w:1, o:242, a:1, s:1, b:1),
% 18.28/18.69 skol8 [314, 2] (w:1, o:243, a:1, s:1, b:1),
% 18.28/18.69 skol9 [315, 2] (w:1, o:244, a:1, s:1, b:1),
% 18.28/18.69 skol10 [316, 1] (w:1, o:211, a:1, s:1, b:1),
% 18.28/18.69 skol11 [317, 1] (w:1, o:212, a:1, s:1, b:1),
% 18.28/18.69 skol12 [318, 3] (w:1, o:306, a:1, s:1, b:1),
% 18.28/18.69 skol13 [319, 2] (w:1, o:245, a:1, s:1, b:1),
% 18.28/18.69 skol14 [320, 4] (w:1, o:331, a:1, s:1, b:1),
% 18.28/18.69 skol15 [321, 3] (w:1, o:307, a:1, s:1, b:1),
% 18.28/18.69 skol16 [322, 2] (w:1, o:246, a:1, s:1, b:1),
% 18.28/18.69 skol17 [323, 4] (w:1, o:332, a:1, s:1, b:1),
% 18.28/18.69 skol18 [324, 3] (w:1, o:308, a:1, s:1, b:1),
% 18.28/18.69 skol19 [325, 0] (w:1, o:16, a:1, s:1, b:1),
% 18.28/18.69 skol20 [326, 0] (w:1, o:17, a:1, s:1, b:1),
% 18.28/18.69 skol21 [327, 0] (w:1, o:18, a:1, s:1, b:1),
% 18.28/18.69 skol22 [328, 1] (w:1, o:208, a:1, s:1, b:1),
% 18.28/18.69 skol23 [329, 1] (w:1, o:209, a:1, s:1, b:1),
% 18.28/18.69 skol24 [330, 2] (w:1, o:247, a:1, s:1, b:1),
% 18.28/18.69 skol25 [331, 3] (w:1, o:312, a:1, s:1, b:1),
% 18.28/18.69 skol26 [332, 2] (w:1, o:248, a:1, s:1, b:1),
% 18.28/18.69 skol27 [333, 0] (w:1, o:19, a:1, s:1, b:1).
% 18.28/18.69
% 18.28/18.69
% 18.28/18.69 Starting Search:
% 18.28/18.69
% 18.28/18.69 *** allocated 113905 integers for clauses
% 18.28/18.69 *** allocated 170857 integers for clauses
% 18.28/18.69 Resimplifying inuse:
% 18.28/18.69 Done
% 18.28/18.69
% 18.28/18.69
% 18.28/18.69 Intermediate Status:
% 18.28/18.69 Generated: 2974
% 18.28/18.69 Kept: 2046
% 18.28/18.69 Inuse: 51
% 18.28/18.69 Deleted: 0
% 18.28/18.69 Deletedinuse: 0
% 18.28/18.69
% 18.28/18.69 *** allocated 256285 integers for clauses
% 18.28/18.69 Resimplifying inuse:
% 18.28/18.69 Done
% 18.28/18.69
% 18.28/18.69 *** allocated 170857 integers for termspace/termends
% 18.28/18.69
% 18.28/18.69 Intermediate Status:
% 18.28/18.69 Generated: 6834
% 18.28/18.69 Kept: 4200
% 18.28/18.69 Inuse: 164
% 18.28/18.69 Deleted: 2
% 18.28/18.69 Deletedinuse: 0
% 18.28/18.69
% 18.28/18.69 Resimplifying inuse:
% 18.28/18.69 Done
% 18.28/18.69
% 18.28/18.69 *** allocated 384427 integers for clauses
% 18.28/18.69 Resimplifying inuse:
% 18.28/18.69 Done
% 18.28/18.69
% 18.28/18.69
% 18.28/18.69 Intermediate Status:
% 18.28/18.69 Generated: 9898
% 18.28/18.69 Kept: 6208
% 18.28/18.69 Inuse: 238
% 18.28/18.69 Deleted: 3
% 18.28/18.69 Deletedinuse: 0
% 18.28/18.69
% 18.28/18.69 Resimplifying inuse:
% 18.28/18.69 Done
% 18.28/18.69
% 18.28/18.69 *** allocated 576640 integers for clauses
% 18.28/18.69 *** allocated 256285 integers for termspace/termends
% 18.28/18.69 Resimplifying inuse:
% 18.28/18.69 Done
% 18.28/18.69
% 18.28/18.69
% 18.28/18.69 Intermediate Status:
% 18.28/18.69 Generated: 14782
% 18.28/18.69 Kept: 8250
% 18.28/18.69 Inuse: 307
% 18.28/18.69 Deleted: 5
% 18.28/18.69 Deletedinuse: 0
% 18.28/18.69
% 18.28/18.69 Resimplifying inuse:
% 18.28/18.69 Done
% 18.28/18.69
% 18.28/18.69 Resimplifying inuse:
% 18.28/18.69 Done
% 18.28/18.69
% 18.28/18.69
% 18.28/18.69 Intermediate Status:
% 18.28/18.69 Generated: 19661
% 18.28/18.69 Kept: 10259
% 18.28/18.69 Inuse: 350
% 18.28/18.69 Deleted: 7
% 18.28/18.69 Deletedinuse: 0
% 18.28/18.69
% 18.28/18.69 Resimplifying inuse:
% 18.28/18.69 Done
% 18.28/18.69
% 18.28/18.69 *** allocated 864960 integers for clauses
% 18.28/18.69 *** allocated 384427 integers for termspace/termends
% 18.28/18.69 Resimplifying inuse:
% 18.28/18.69 Done
% 18.28/18.69
% 18.28/18.69
% 18.28/18.69 Intermediate Status:
% 18.28/18.69 Generated: 23957
% 18.28/18.69 Kept: 12372
% 18.28/18.69 Inuse: 411
% 18.28/18.69 Deleted: 9
% 18.28/18.69 Deletedinuse: 2
% 18.28/18.69
% 18.28/18.69 Resimplifying inuse:
% 18.28/18.69 Done
% 18.28/18.69
% 18.28/18.69 Resimplifying inuse:
% 18.28/18.69 Done
% 18.28/18.69
% 18.28/18.69
% 18.28/18.69 Intermediate Status:
% 18.28/18.69 Generated: 29619
% 18.28/18.69 Kept: 14378
% 18.28/18.69 Inuse: 467
% 18.28/18.69 Deleted: 9
% 18.28/18.69 Deletedinuse: 2
% 18.28/18.69
% 18.28/18.69 Resimplifying inuse:
% 18.28/18.69 Done
% 18.28/18.69
% 18.28/18.69
% 18.28/18.69 Intermediate Status:
% 18.28/18.69 Generated: 36820
% 18.28/18.69 Kept: 16381
% 18.28/18.69 Inuse: 503
% 18.28/18.69 Deleted: 9
% 18.28/18.69 Deletedinuse: 2
% 18.28/18.69
% 18.28/18.69 Resimplifying inuse:
% 18.28/18.69 Done
% 18.28/18.69
% 18.28/18.69 *** allocated 576640 integers for termspace/termends
% 18.28/18.69 Resimplifying inuse:
% 18.28/18.69 Done
% 18.28/18.69
% 18.28/18.69 *** allocated 1297440 integers for clauses
% 18.28/18.69
% 18.28/18.69 Intermediate Status:
% 18.28/18.69 Generated: 42664
% 18.28/18.69 Kept: 18538
% 18.28/18.69 Inuse: 549
% 18.28/18.69 Deleted: 9
% 18.28/18.69 Deletedinuse: 2
% 18.28/18.69
% 18.28/18.69 Resimplifying inuse:
% 18.28/18.69 Done
% 18.28/18.69
% 18.28/18.69 Resimplifying clauses:
% 18.28/18.69 Done
% 18.28/18.69
% 18.28/18.69 Resimplifying inuse:
% 18.28/18.69 Done
% 18.28/18.69
% 18.28/18.69
% 18.28/18.69 Intermediate Status:
% 18.28/18.69 Generated: 48185
% 18.28/18.69 Kept: 20540
% 18.28/18.69 Inuse: 589
% 18.28/18.69 Deleted: 357
% 18.28/18.69 Deletedinuse: 18
% 18.28/18.69
% 18.28/18.69 Resimplifying inuse:
% 18.28/18.69 Done
% 18.28/18.69
% 18.28/18.69
% 18.28/18.69 Intermediate Status:
% 18.28/18.69 Generated: 56127
% 18.28/18.69 Kept: 22598
% 18.28/18.69 Inuse: 634
% 18.28/18.69 Deleted: 357
% 18.28/18.69 Deletedinuse: 18
% 18.28/18.69
% 18.28/18.69 Resimplifying inuse:
% 18.28/18.69 Done
% 18.28/18.69
% 18.28/18.69 Resimplifying inuse:
% 18.28/18.69 Done
% 18.28/18.69
% 18.28/18.69
% 18.28/18.69 Intermediate Status:
% 18.28/18.69 Generated: 63340
% 18.28/18.69 Kept: 24614
% 18.28/18.69 Inuse: 675
% 18.28/18.69 Deleted: 357
% 18.28/18.69 Deletedinuse: 18
% 18.28/18.69
% 18.28/18.69 Resimplifying inuse:
% 18.28/18.69 Done
% 18.28/18.69
% 18.28/18.69 Resimplifying inuse:
% 18.28/18.69 Done
% 18.28/18.69
% 18.28/18.69 *** allocated 864960 integers for termspace/termends
% 18.28/18.69
% 18.28/18.69 Intermediate Status:
% 18.28/18.69 Generated: 71402
% 18.28/18.69 Kept: 26950
% 18.28/18.69 Inuse: 709
% 18.28/18.69 Deleted: 357
% 18.28/18.69 Deletedinuse: 18
% 18.28/18.69
% 18.28/18.69 Resimplifying inuse:
% 18.28/18.69 Done
% 18.28/18.69
% 18.28/18.69 Resimplifying inuse:
% 18.28/18.69 Done
% 18.28/18.69
% 18.28/18.69 *** allocated 1946160 integers for clauses
% 18.28/18.69
% 18.28/18.69 Intermediate Status:
% 18.28/18.69 Generated: 81105
% 42.60/43.01 Kept: 30191
% 42.60/43.01 Inuse: 754
% 42.60/43.01 Deleted: 591
% 42.60/43.01 Deletedinuse: 252
% 42.60/43.01
% 42.60/43.01 Resimplifying inuse:
% 42.60/43.01 Done
% 42.60/43.01
% 42.60/43.01 Resimplifying inuse:
% 42.60/43.01 Done
% 42.60/43.01
% 42.60/43.01
% 42.60/43.01 Intermediate Status:
% 42.60/43.01 Generated: 85904
% 42.60/43.01 Kept: 32212
% 42.60/43.01 Inuse: 783
% 42.60/43.01 Deleted: 591
% 42.60/43.01 Deletedinuse: 252
% 42.60/43.01
% 42.60/43.01 Resimplifying inuse:
% 42.60/43.01 Done
% 42.60/43.01
% 42.60/43.01 Resimplifying inuse:
% 42.60/43.01 Done
% 42.60/43.01
% 42.60/43.01
% 42.60/43.01 Intermediate Status:
% 42.60/43.01 Generated: 91740
% 42.60/43.01 Kept: 34258
% 42.60/43.01 Inuse: 839
% 42.60/43.01 Deleted: 591
% 42.60/43.01 Deletedinuse: 252
% 42.60/43.01
% 42.60/43.01 Resimplifying inuse:
% 42.60/43.01 Done
% 42.60/43.01
% 42.60/43.01 Resimplifying inuse:
% 42.60/43.01 Done
% 42.60/43.01
% 42.60/43.01
% 42.60/43.01 Intermediate Status:
% 42.60/43.01 Generated: 97843
% 42.60/43.01 Kept: 36271
% 42.60/43.01 Inuse: 890
% 42.60/43.01 Deleted: 591
% 42.60/43.01 Deletedinuse: 252
% 42.60/43.01
% 42.60/43.01 Resimplifying inuse:
% 42.60/43.01 Done
% 42.60/43.01
% 42.60/43.01 Resimplifying inuse:
% 42.60/43.01 Done
% 42.60/43.01
% 42.60/43.01
% 42.60/43.01 Intermediate Status:
% 42.60/43.01 Generated: 104035
% 42.60/43.01 Kept: 38274
% 42.60/43.01 Inuse: 939
% 42.60/43.01 Deleted: 591
% 42.60/43.01 Deletedinuse: 252
% 42.60/43.01
% 42.60/43.01 Resimplifying inuse:
% 42.60/43.01 Done
% 42.60/43.01
% 42.60/43.01 Resimplifying clauses:
% 42.60/43.01 Done
% 42.60/43.01
% 42.60/43.01 Resimplifying inuse:
% 42.60/43.01 Done
% 42.60/43.01
% 42.60/43.01
% 42.60/43.01 Intermediate Status:
% 42.60/43.01 Generated: 113421
% 42.60/43.01 Kept: 40289
% 42.60/43.01 Inuse: 961
% 42.60/43.01 Deleted: 6596
% 42.60/43.01 Deletedinuse: 252
% 42.60/43.01
% 42.60/43.01 *** allocated 1297440 integers for termspace/termends
% 42.60/43.01 Resimplifying inuse:
% 42.60/43.01 Done
% 42.60/43.01
% 42.60/43.01
% 42.60/43.01 Intermediate Status:
% 42.60/43.01 Generated: 121386
% 42.60/43.01 Kept: 43474
% 42.60/43.01 Inuse: 970
% 42.60/43.01 Deleted: 6625
% 42.60/43.01 Deletedinuse: 257
% 42.60/43.01
% 42.60/43.01 Resimplifying inuse:
% 42.60/43.01 Done
% 42.60/43.01
% 42.60/43.01 Resimplifying inuse:
% 42.60/43.01 Done
% 42.60/43.01
% 42.60/43.01 *** allocated 2919240 integers for clauses
% 42.60/43.01
% 42.60/43.01 Intermediate Status:
% 42.60/43.01 Generated: 128439
% 42.60/43.01 Kept: 45521
% 42.60/43.01 Inuse: 985
% 42.60/43.01 Deleted: 6666
% 42.60/43.01 Deletedinuse: 258
% 42.60/43.01
% 42.60/43.01 Resimplifying inuse:
% 42.60/43.01 Done
% 42.60/43.01
% 42.60/43.01
% 42.60/43.01 Intermediate Status:
% 42.60/43.01 Generated: 138527
% 42.60/43.01 Kept: 48126
% 42.60/43.01 Inuse: 1000
% 42.60/43.01 Deleted: 6666
% 42.60/43.01 Deletedinuse: 258
% 42.60/43.01
% 42.60/43.01 Resimplifying inuse:
% 42.60/43.01 Done
% 42.60/43.01
% 42.60/43.01 Resimplifying inuse:
% 42.60/43.01 Done
% 42.60/43.01
% 42.60/43.01
% 42.60/43.01 Intermediate Status:
% 42.60/43.01 Generated: 146039
% 42.60/43.01 Kept: 50126
% 42.60/43.01 Inuse: 1045
% 42.60/43.01 Deleted: 6666
% 42.60/43.01 Deletedinuse: 258
% 42.60/43.01
% 42.60/43.01 Resimplifying inuse:
% 42.60/43.01 Done
% 42.60/43.01
% 42.60/43.01 Resimplifying inuse:
% 42.60/43.01 Done
% 42.60/43.01
% 42.60/43.01
% 42.60/43.01 Intermediate Status:
% 42.60/43.01 Generated: 157089
% 42.60/43.01 Kept: 52401
% 42.60/43.01 Inuse: 1057
% 42.60/43.01 Deleted: 6669
% 42.60/43.01 Deletedinuse: 258
% 42.60/43.01
% 42.60/43.01 Resimplifying inuse:
% 42.60/43.01 Done
% 42.60/43.01
% 42.60/43.01 Resimplifying inuse:
% 42.60/43.01 Done
% 42.60/43.01
% 42.60/43.01
% 42.60/43.01 Intermediate Status:
% 42.60/43.01 Generated: 163002
% 42.60/43.01 Kept: 54462
% 42.60/43.01 Inuse: 1070
% 42.60/43.01 Deleted: 6672
% 42.60/43.01 Deletedinuse: 258
% 42.60/43.01
% 42.60/43.01 Resimplifying inuse:
% 42.60/43.01 Done
% 42.60/43.01
% 42.60/43.01
% 42.60/43.01 Intermediate Status:
% 42.60/43.01 Generated: 172106
% 42.60/43.01 Kept: 56815
% 42.60/43.01 Inuse: 1090
% 42.60/43.01 Deleted: 6680
% 42.60/43.01 Deletedinuse: 262
% 42.60/43.01
% 42.60/43.01 Resimplifying inuse:
% 42.60/43.01 Done
% 42.60/43.01
% 42.60/43.01 Resimplifying inuse:
% 42.60/43.01 Done
% 42.60/43.01
% 42.60/43.01
% 42.60/43.01 Intermediate Status:
% 42.60/43.01 Generated: 177669
% 42.60/43.01 Kept: 59618
% 42.60/43.01 Inuse: 1098
% 42.60/43.01 Deleted: 6682
% 42.60/43.01 Deletedinuse: 262
% 42.60/43.01
% 42.60/43.01 Resimplifying inuse:
% 42.60/43.01 Done
% 42.60/43.01
% 42.60/43.01 Resimplifying clauses:
% 42.60/43.01 Done
% 42.60/43.01
% 42.60/43.01 Resimplifying inuse:
% 42.60/43.01 Done
% 42.60/43.01
% 42.60/43.01
% 42.60/43.01 Intermediate Status:
% 42.60/43.01 Generated: 183922
% 42.60/43.01 Kept: 61732
% 42.60/43.01 Inuse: 1122
% 42.60/43.01 Deleted: 7971
% 42.60/43.01 Deletedinuse: 262
% 42.60/43.01
% 42.60/43.01 Resimplifying inuse:
% 42.60/43.01 Done
% 42.60/43.01
% 42.60/43.01 *** allocated 1946160 integers for termspace/termends
% 42.60/43.01 Resimplifying inuse:
% 42.60/43.01 Done
% 42.60/43.01
% 42.60/43.01
% 42.60/43.01 Intermediate Status:
% 42.60/43.01 Generated: 191055
% 42.60/43.01 Kept: 63734
% 42.60/43.01 Inuse: 1152
% 42.60/43.01 Deleted: 7972
% 42.60/43.01 Deletedinuse: 263
% 42.60/43.01
% 42.60/43.01 Resimplifying inuse:
% 42.60/43.01 Done
% 42.60/43.01
% 42.60/43.01 Resimplifying inuse:
% 42.60/43.01 Done
% 42.60/43.01
% 42.60/43.01
% 42.60/43.01 Intermediate Status:
% 42.60/43.01 Generated: 196745
% 42.60/43.01 Kept: 65758
% 42.60/43.01 Inuse: 1184
% 42.60/43.01 Deleted: 7972
% 42.60/43.01 Deletedinuse: 263
% 42.60/43.01
% 42.60/43.01
% 42.60/43.01 Intermediate Status:
% 42.60/43.01 Generated: 204755
% 42.60/43.01 Kept: 68227
% 42.60/43.01 Inuse: 1187
% 42.60/43.01 Deleted: 7972
% 42.60/43.01 Deletedinuse: 263
% 42.60/43.01
% 42.60/43.01 Resimplifying inuse:
% 42.60/43.01 Done
% 42.60/43.01
% 42.60/43.01 Resimplifying inuse:
% 42.60/43.01 Done
% 42.60/43.01
% 42.60/43.01 *** allocated 4378860 integers for clauses
% 42.60/43.01
% 42.60/43.01 Intermediate Status:
% 42.60/43.01 Generated: 213317
% 42.60/43.01 Kept: 70228
% 42.60/43.01 Inuse: 1212
% 42.60/43.01 Deleted: 7982
% 42.60/43.01 Deletedinuse: 266
% 42.60/43.01
% 42.60/43.01 Resimplifying inuse:
% 42.60/43.01 Done
% 42.60/43.01
% 42.60/43.01 Resimplifying inuse:
% 42.60/43.01 Done
% 42.60/43.01
% 42.60/43.01
% 42.60/43.01 Intermediate Status:
% 42.60/43.01 Generated: 220542
% 42.60/43.01 Kept: 72386
% 42.60/43.01 Inuse: 1239
% 42.60/43.01 Deleted: 7989
% 42.60/43.01 Deletedinuse: 272
% 42.60/43.01
% 42.60/43.01 Resimplifying inuse:
% 42.60/43.01 Done
% 42.60/43.01
% 42.60/43.01 Resimplifying inuse:
% 42.60/43.01 Done
% 42.60/43.01
% 42.60/43.01
% 42.60/43.01 Intermediate Status:
% 42.60/43.01 Generated: 227150
% 42.60/43.01 Kept: 74468
% 42.60/43.01 Inuse: 1262
% 42.60/43.01 Deleted: 7993
% 42.60/43.01 Deletedinuse: 272
% 42.60/43.01
% 42.60/43.01 Resimplifying inuse:
% 42.60/43.01 Done
% 42.60/43.01
% 42.60/43.01 Resimplifying inuse:
% 42.60/43.01 Done
% 42.60/43.01
% 42.60/43.01
% 42.60/43.01 Intermediate Status:
% 42.60/43.01 Generated: 233761
% 42.60/43.01 Kept: 76631
% 42.60/43.01 Inuse: 1285
% 42.60/43.01 Deleted: 7994
% 42.60/43.01 Deletedinuse: 273
% 42.60/43.01
% 42.60/43.01 Resimplifying inuse:
% 42.60/43.01 Done
% 42.60/43.01
% 42.60/43.01
% 42.60/43.01 Intermediate Status:
% 42.60/43.01 Generated: 238816
% 42.60/43.01 Kept: 79126
% 42.60/43.01 Inuse: 1304
% 42.60/43.01 Deleted: 7995
% 42.60/43.01 Deletedinuse: 273
% 42.60/43.01
% 42.60/43.01 Resimplifying inuse:
% 42.60/43.01 Done
% 42.60/43.01
% 42.60/43.01 Resimplifying inuse:
% 42.60/43.01 Done
% 42.60/43.01
% 42.60/43.01 Resimplifying clauses:
% 42.60/43.01 Done
% 42.60/43.01
% 42.60/43.01
% 42.60/43.01 Intermediate Status:
% 42.60/43.01 Generated: 246108
% 102.45/102.85 Kept: 81221
% 102.45/102.85 Inuse: 1329
% 102.45/102.85 Deleted: 9890
% 102.45/102.85 Deletedinuse: 273
% 102.45/102.85
% 102.45/102.85 Resimplifying inuse:
% 102.45/102.85 Done
% 102.45/102.85
% 102.45/102.85 Resimplifying inuse:
% 102.45/102.85 Done
% 102.45/102.85
% 102.45/102.85
% 102.45/102.85 Intermediate Status:
% 102.45/102.85 Generated: 258098
% 102.45/102.85 Kept: 84029
% 102.45/102.85 Inuse: 1353
% 102.45/102.85 Deleted: 9894
% 102.45/102.85 Deletedinuse: 276
% 102.45/102.85
% 102.45/102.85 Resimplifying inuse:
% 102.45/102.85 Done
% 102.45/102.85
% 102.45/102.85 Resimplifying inuse:
% 102.45/102.85 Done
% 102.45/102.85
% 102.45/102.85
% 102.45/102.85 Intermediate Status:
% 102.45/102.85 Generated: 265545
% 102.45/102.85 Kept: 87166
% 102.45/102.85 Inuse: 1368
% 102.45/102.85 Deleted: 9894
% 102.45/102.85 Deletedinuse: 276
% 102.45/102.85
% 102.45/102.85 Resimplifying inuse:
% 102.45/102.85 Done
% 102.45/102.85
% 102.45/102.85 Resimplifying inuse:
% 102.45/102.85 Done
% 102.45/102.85
% 102.45/102.85
% 102.45/102.85 Intermediate Status:
% 102.45/102.85 Generated: 273050
% 102.45/102.85 Kept: 89216
% 102.45/102.85 Inuse: 1403
% 102.45/102.85 Deleted: 9894
% 102.45/102.85 Deletedinuse: 276
% 102.45/102.85
% 102.45/102.85 Resimplifying inuse:
% 102.45/102.85 Done
% 102.45/102.85
% 102.45/102.85 Resimplifying inuse:
% 102.45/102.85 Done
% 102.45/102.85
% 102.45/102.85
% 102.45/102.85 Intermediate Status:
% 102.45/102.85 Generated: 281367
% 102.45/102.85 Kept: 92447
% 102.45/102.85 Inuse: 1423
% 102.45/102.85 Deleted: 9894
% 102.45/102.85 Deletedinuse: 276
% 102.45/102.85
% 102.45/102.85 Resimplifying inuse:
% 102.45/102.85 Done
% 102.45/102.85
% 102.45/102.85 Resimplifying inuse:
% 102.45/102.85 Done
% 102.45/102.85
% 102.45/102.85
% 102.45/102.85 Intermediate Status:
% 102.45/102.85 Generated: 290352
% 102.45/102.85 Kept: 94525
% 102.45/102.85 Inuse: 1431
% 102.45/102.85 Deleted: 9910
% 102.45/102.85 Deletedinuse: 278
% 102.45/102.85
% 102.45/102.85 Resimplifying inuse:
% 102.45/102.85 Done
% 102.45/102.85
% 102.45/102.85 *** allocated 2919240 integers for termspace/termends
% 102.45/102.85
% 102.45/102.85 Intermediate Status:
% 102.45/102.85 Generated: 295207
% 102.45/102.85 Kept: 96659
% 102.45/102.85 Inuse: 1447
% 102.45/102.85 Deleted: 9912
% 102.45/102.85 Deletedinuse: 278
% 102.45/102.85
% 102.45/102.85 Resimplifying inuse:
% 102.45/102.85 Done
% 102.45/102.85
% 102.45/102.85 Resimplifying inuse:
% 102.45/102.85 Done
% 102.45/102.85
% 102.45/102.85
% 102.45/102.85 Intermediate Status:
% 102.45/102.85 Generated: 300222
% 102.45/102.85 Kept: 98694
% 102.45/102.85 Inuse: 1467
% 102.45/102.85 Deleted: 9912
% 102.45/102.85 Deletedinuse: 278
% 102.45/102.85
% 102.45/102.85 Resimplifying inuse:
% 102.45/102.85 Done
% 102.45/102.85
% 102.45/102.85 Resimplifying inuse:
% 102.45/102.85 Done
% 102.45/102.85
% 102.45/102.85 Resimplifying clauses:
% 102.45/102.85 Done
% 102.45/102.85
% 102.45/102.85
% 102.45/102.85 Intermediate Status:
% 102.45/102.85 Generated: 309178
% 102.45/102.85 Kept: 100802
% 102.45/102.85 Inuse: 1517
% 102.45/102.85 Deleted: 10454
% 102.45/102.85 Deletedinuse: 278
% 102.45/102.85
% 102.45/102.85 Resimplifying inuse:
% 102.45/102.85 Done
% 102.45/102.85
% 102.45/102.85 Resimplifying inuse:
% 102.45/102.85 Done
% 102.45/102.85
% 102.45/102.85 *** allocated 6568290 integers for clauses
% 102.45/102.85
% 102.45/102.85 Intermediate Status:
% 102.45/102.85 Generated: 314132
% 102.45/102.85 Kept: 102846
% 102.45/102.85 Inuse: 1549
% 102.45/102.85 Deleted: 10473
% 102.45/102.85 Deletedinuse: 296
% 102.45/102.85
% 102.45/102.85 Resimplifying inuse:
% 102.45/102.85 Done
% 102.45/102.85
% 102.45/102.85 Resimplifying inuse:
% 102.45/102.85 Done
% 102.45/102.85
% 102.45/102.85
% 102.45/102.85 Intermediate Status:
% 102.45/102.85 Generated: 320667
% 102.45/102.85 Kept: 104973
% 102.45/102.85 Inuse: 1571
% 102.45/102.85 Deleted: 10473
% 102.45/102.85 Deletedinuse: 296
% 102.45/102.85
% 102.45/102.85 Resimplifying inuse:
% 102.45/102.85 Done
% 102.45/102.85
% 102.45/102.85 Resimplifying inuse:
% 102.45/102.85 Done
% 102.45/102.85
% 102.45/102.85
% 102.45/102.85 Intermediate Status:
% 102.45/102.85 Generated: 326761
% 102.45/102.85 Kept: 107006
% 102.45/102.85 Inuse: 1616
% 102.45/102.85 Deleted: 10474
% 102.45/102.85 Deletedinuse: 297
% 102.45/102.85
% 102.45/102.85 Resimplifying inuse:
% 102.45/102.85 Done
% 102.45/102.85
% 102.45/102.85 Resimplifying inuse:
% 102.45/102.85 Done
% 102.45/102.85
% 102.45/102.85
% 102.45/102.85 Intermediate Status:
% 102.45/102.85 Generated: 333578
% 102.45/102.85 Kept: 109041
% 102.45/102.85 Inuse: 1660
% 102.45/102.85 Deleted: 10492
% 102.45/102.85 Deletedinuse: 312
% 102.45/102.85
% 102.45/102.85 Resimplifying inuse:
% 102.45/102.85 Done
% 102.45/102.85
% 102.45/102.85
% 102.45/102.85 Intermediate Status:
% 102.45/102.85 Generated: 338994
% 102.45/102.85 Kept: 111235
% 102.45/102.85 Inuse: 1678
% 102.45/102.85 Deleted: 10492
% 102.45/102.85 Deletedinuse: 312
% 102.45/102.85
% 102.45/102.85 Resimplifying inuse:
% 102.45/102.85 Done
% 102.45/102.85
% 102.45/102.85 Resimplifying inuse:
% 102.45/102.85 Done
% 102.45/102.85
% 102.45/102.85
% 102.45/102.85 Intermediate Status:
% 102.45/102.85 Generated: 344986
% 102.45/102.85 Kept: 113292
% 102.45/102.85 Inuse: 1724
% 102.45/102.85 Deleted: 10496
% 102.45/102.85 Deletedinuse: 312
% 102.45/102.85
% 102.45/102.85 Resimplifying inuse:
% 102.45/102.85 Done
% 102.45/102.85
% 102.45/102.85 Resimplifying inuse:
% 102.45/102.85 Done
% 102.45/102.85
% 102.45/102.85
% 102.45/102.85 Intermediate Status:
% 102.45/102.85 Generated: 350705
% 102.45/102.85 Kept: 115300
% 102.45/102.85 Inuse: 1755
% 102.45/102.85 Deleted: 10496
% 102.45/102.85 Deletedinuse: 312
% 102.45/102.85
% 102.45/102.85 Resimplifying inuse:
% 102.45/102.85 Done
% 102.45/102.85
% 102.45/102.85 Resimplifying inuse:
% 102.45/102.85 Done
% 102.45/102.85
% 102.45/102.85
% 102.45/102.85 Intermediate Status:
% 102.45/102.85 Generated: 361414
% 102.45/102.85 Kept: 119356
% 102.45/102.85 Inuse: 1779
% 102.45/102.85 Deleted: 10496
% 102.45/102.85 Deletedinuse: 312
% 102.45/102.85
% 102.45/102.85 Resimplifying inuse:
% 102.45/102.85 Done
% 102.45/102.85
% 102.45/102.85 Resimplifying inuse:
% 102.45/102.85 Done
% 102.45/102.85
% 102.45/102.85 Resimplifying clauses:
% 102.45/102.85 Done
% 102.45/102.85
% 102.45/102.85
% 102.45/102.85 Intermediate Status:
% 102.45/102.85 Generated: 373833
% 102.45/102.85 Kept: 123014
% 102.45/102.85 Inuse: 1794
% 102.45/102.85 Deleted: 11336
% 102.45/102.85 Deletedinuse: 313
% 102.45/102.85
% 102.45/102.85 Resimplifying inuse:
% 102.45/102.85 Done
% 102.45/102.85
% 102.45/102.85
% 102.45/102.85 Intermediate Status:
% 102.45/102.85 Generated: 385178
% 102.45/102.85 Kept: 126409
% 102.45/102.85 Inuse: 1804
% 102.45/102.85 Deleted: 11336
% 102.45/102.85 Deletedinuse: 313
% 102.45/102.85
% 102.45/102.85 Resimplifying inuse:
% 102.45/102.85 Done
% 102.45/102.85
% 102.45/102.85 Resimplifying inuse:
% 102.45/102.85 Done
% 102.45/102.85
% 102.45/102.85
% 102.45/102.85 Intermediate Status:
% 102.45/102.85 Generated: 395281
% 102.45/102.85 Kept: 128796
% 102.45/102.85 Inuse: 1814
% 102.45/102.85 Deleted: 11336
% 102.45/102.85 Deletedinuse: 313
% 102.45/102.85
% 102.45/102.85 Resimplifying inuse:
% 102.45/102.85 Done
% 102.45/102.85
% 102.45/102.85 Resimplifying inuse:
% 102.45/102.85 Done
% 102.45/102.85
% 102.45/102.85
% 102.45/102.85 Intermediate Status:
% 102.45/102.85 Generated: 400895
% 102.45/102.85 Kept: 130819
% 102.45/102.85 Inuse: 1832
% 102.45/102.85 Deleted: 11336
% 102.45/102.85 Deletedinuse: 313
% 102.45/102.85
% 102.45/102.85 Resimplifying inuse:
% 102.45/102.85 Done
% 102.45/102.85
% 102.45/102.85 Resimplifying inuse:
% 102.45/102.85 Done
% 102.45/102.85
% 102.45/102.85
% 102.45/102.85 Intermediate Status:
% 102.45/102.85 Generated: 406502
% 102.45/102.85 Kept: 132968
% 102.45/102.85 Inuse: 1849
% 102.45/102.85 Deleted: 11337
% 102.45/102.85 Deletedinuse: 314
% 102.45/102.85
% 102.45/102.85 Resimplifying inuse:
% 102.45/102.85 Done
% 102.45/102.85
% 102.45/102.85 Resimplifying inuse:
% 102.45/102.85 Done
% 102.45/102.85
% 102.45/102.85
% 102.45/102.85 Intermediate Status:
% 102.45/102.85 Generated: 411599
% 102.45/102.85 Kept: 135083
% 102.45/102.85 Inuse: 1864
% 102.45/102.85 Deleted: 11337
% 102.45/102.85 Deletedinuse: 314
% 102.45/102.85
% 102.45/102.85 Resimplifying inuse:
% 102.45/102.85 Done
% 102.45/102.85
% 102.45/102.85 Resimplifying inuse:
% 102.45/102.85 Done
% 102.45/102.85
% 102.45/102.85
% 102.45/102.85 Intermediate Status:
% 102.45/102.85 Generated: 416671
% 229.04/229.55 Kept: 137156
% 229.04/229.55 Inuse: 1879
% 229.04/229.55 Deleted: 11337
% 229.04/229.55 Deletedinuse: 314
% 229.04/229.55
% 229.04/229.55 Resimplifying inuse:
% 229.04/229.55 Done
% 229.04/229.55
% 229.04/229.55 Resimplifying inuse:
% 229.04/229.55 Done
% 229.04/229.55
% 229.04/229.55
% 229.04/229.55 Intermediate Status:
% 229.04/229.55 Generated: 421815
% 229.04/229.55 Kept: 139275
% 229.04/229.55 Inuse: 1894
% 229.04/229.55 Deleted: 11337
% 229.04/229.55 Deletedinuse: 314
% 229.04/229.55
% 229.04/229.55 Resimplifying inuse:
% 229.04/229.55 Done
% 229.04/229.55
% 229.04/229.55 Resimplifying inuse:
% 229.04/229.55 Done
% 229.04/229.55
% 229.04/229.55 Resimplifying clauses:
% 229.04/229.55 Done
% 229.04/229.55
% 229.04/229.55
% 229.04/229.55 Intermediate Status:
% 229.04/229.55 Generated: 427064
% 229.04/229.55 Kept: 141312
% 229.04/229.55 Inuse: 1909
% 229.04/229.55 Deleted: 11544
% 229.04/229.55 Deletedinuse: 314
% 229.04/229.55
% 229.04/229.55 Resimplifying inuse:
% 229.04/229.55 Done
% 229.04/229.55
% 229.04/229.55 Resimplifying inuse:
% 229.04/229.55 Done
% 229.04/229.55
% 229.04/229.55
% 229.04/229.55 Intermediate Status:
% 229.04/229.55 Generated: 434059
% 229.04/229.55 Kept: 143425
% 229.04/229.55 Inuse: 1930
% 229.04/229.55 Deleted: 11544
% 229.04/229.55 Deletedinuse: 314
% 229.04/229.55
% 229.04/229.55 Resimplifying inuse:
% 229.04/229.55 Done
% 229.04/229.55
% 229.04/229.55 Resimplifying inuse:
% 229.04/229.55 Done
% 229.04/229.55
% 229.04/229.55
% 229.04/229.55 Intermediate Status:
% 229.04/229.55 Generated: 439553
% 229.04/229.55 Kept: 145498
% 229.04/229.55 Inuse: 1946
% 229.04/229.55 Deleted: 11544
% 229.04/229.55 Deletedinuse: 314
% 229.04/229.55
% 229.04/229.55 Resimplifying inuse:
% 229.04/229.55 Done
% 229.04/229.55
% 229.04/229.55 Resimplifying inuse:
% 229.04/229.55 Done
% 229.04/229.55
% 229.04/229.55
% 229.04/229.55 Intermediate Status:
% 229.04/229.55 Generated: 444879
% 229.04/229.55 Kept: 147558
% 229.04/229.55 Inuse: 1964
% 229.04/229.55 Deleted: 11544
% 229.04/229.55 Deletedinuse: 314
% 229.04/229.55
% 229.04/229.55 Resimplifying inuse:
% 229.04/229.55 Done
% 229.04/229.55
% 229.04/229.55 *** allocated 4378860 integers for termspace/termends
% 229.04/229.55 Resimplifying inuse:
% 229.04/229.55 Done
% 229.04/229.55
% 229.04/229.55
% 229.04/229.55 Intermediate Status:
% 229.04/229.55 Generated: 450071
% 229.04/229.55 Kept: 149723
% 229.04/229.55 Inuse: 1979
% 229.04/229.55 Deleted: 11544
% 229.04/229.55 Deletedinuse: 314
% 229.04/229.55
% 229.04/229.55 Resimplifying inuse:
% 229.04/229.55 Done
% 229.04/229.55
% 229.04/229.55 Resimplifying inuse:
% 229.04/229.55 Done
% 229.04/229.55
% 229.04/229.55
% 229.04/229.55 Intermediate Status:
% 229.04/229.55 Generated: 455140
% 229.04/229.55 Kept: 151863
% 229.04/229.55 Inuse: 1994
% 229.04/229.55 Deleted: 11544
% 229.04/229.55 Deletedinuse: 314
% 229.04/229.55
% 229.04/229.55 Resimplifying inuse:
% 229.04/229.55 Done
% 229.04/229.55
% 229.04/229.55 Resimplifying inuse:
% 229.04/229.55 Done
% 229.04/229.55
% 229.04/229.55
% 229.04/229.55 Intermediate Status:
% 229.04/229.55 Generated: 460114
% 229.04/229.55 Kept: 153958
% 229.04/229.55 Inuse: 2009
% 229.04/229.55 Deleted: 11544
% 229.04/229.55 Deletedinuse: 314
% 229.04/229.55
% 229.04/229.55 Resimplifying inuse:
% 229.04/229.55 Done
% 229.04/229.55
% 229.04/229.55 *** allocated 9852435 integers for clauses
% 229.04/229.55 Resimplifying inuse:
% 229.04/229.55 Done
% 229.04/229.55
% 229.04/229.55
% 229.04/229.55 Intermediate Status:
% 229.04/229.55 Generated: 465168
% 229.04/229.55 Kept: 155973
% 229.04/229.55 Inuse: 2026
% 229.04/229.55 Deleted: 11544
% 229.04/229.55 Deletedinuse: 314
% 229.04/229.55
% 229.04/229.55
% 229.04/229.55 Intermediate Status:
% 229.04/229.55 Generated: 471497
% 229.04/229.55 Kept: 158451
% 229.04/229.55 Inuse: 2033
% 229.04/229.55 Deleted: 11545
% 229.04/229.55 Deletedinuse: 314
% 229.04/229.55
% 229.04/229.55 Resimplifying inuse:
% 229.04/229.55 Done
% 229.04/229.55
% 229.04/229.55
% 229.04/229.55 Intermediate Status:
% 229.04/229.55 Generated: 477297
% 229.04/229.55 Kept: 160644
% 229.04/229.55 Inuse: 2038
% 229.04/229.55 Deleted: 11545
% 229.04/229.55 Deletedinuse: 314
% 229.04/229.55
% 229.04/229.55 Resimplifying inuse:
% 229.04/229.55 Done
% 229.04/229.55
% 229.04/229.55 Resimplifying clauses:
% 229.04/229.55 Done
% 229.04/229.55
% 229.04/229.55
% 229.04/229.55 Intermediate Status:
% 229.04/229.55 Generated: 495107
% 229.04/229.55 Kept: 164961
% 229.04/229.55 Inuse: 2043
% 229.04/229.55 Deleted: 11825
% 229.04/229.55 Deletedinuse: 314
% 229.04/229.55
% 229.04/229.55 Resimplifying inuse:
% 229.04/229.55 Done
% 229.04/229.55
% 229.04/229.55 Resimplifying inuse:
% 229.04/229.55 Done
% 229.04/229.55
% 229.04/229.55
% 229.04/229.55 Intermediate Status:
% 229.04/229.55 Generated: 502788
% 229.04/229.55 Kept: 166998
% 229.04/229.55 Inuse: 2049
% 229.04/229.55 Deleted: 11825
% 229.04/229.55 Deletedinuse: 314
% 229.04/229.55
% 229.04/229.55 Resimplifying inuse:
% 229.04/229.55 Done
% 229.04/229.55
% 229.04/229.55 Resimplifying inuse:
% 229.04/229.55 Done
% 229.04/229.55
% 229.04/229.55
% 229.04/229.55 Intermediate Status:
% 229.04/229.55 Generated: 508674
% 229.04/229.55 Kept: 169147
% 229.04/229.55 Inuse: 2067
% 229.04/229.55 Deleted: 11831
% 229.04/229.55 Deletedinuse: 314
% 229.04/229.55
% 229.04/229.55 Resimplifying inuse:
% 229.04/229.55 Done
% 229.04/229.55
% 229.04/229.55 Resimplifying inuse:
% 229.04/229.55 Done
% 229.04/229.55
% 229.04/229.55
% 229.04/229.55 Intermediate Status:
% 229.04/229.55 Generated: 514410
% 229.04/229.55 Kept: 171215
% 229.04/229.55 Inuse: 2089
% 229.04/229.55 Deleted: 11831
% 229.04/229.55 Deletedinuse: 314
% 229.04/229.55
% 229.04/229.55
% 229.04/229.55 Intermediate Status:
% 229.04/229.55 Generated: 520170
% 229.04/229.55 Kept: 174832
% 229.04/229.55 Inuse: 2097
% 229.04/229.55 Deleted: 11831
% 229.04/229.55 Deletedinuse: 314
% 229.04/229.55
% 229.04/229.55 Resimplifying inuse:
% 229.04/229.55 Done
% 229.04/229.55
% 229.04/229.55 Resimplifying inuse:
% 229.04/229.55 Done
% 229.04/229.55
% 229.04/229.55
% 229.04/229.55 Intermediate Status:
% 229.04/229.55 Generated: 525994
% 229.04/229.55 Kept: 176968
% 229.04/229.55 Inuse: 2113
% 229.04/229.55 Deleted: 11831
% 229.04/229.55 Deletedinuse: 314
% 229.04/229.55
% 229.04/229.55 Resimplifying inuse:
% 229.04/229.55 Done
% 229.04/229.55
% 229.04/229.55
% 229.04/229.55 Intermediate Status:
% 229.04/229.55 Generated: 533393
% 229.04/229.55 Kept: 179341
% 229.04/229.55 Inuse: 2122
% 229.04/229.55 Deleted: 11831
% 229.04/229.55 Deletedinuse: 314
% 229.04/229.55
% 229.04/229.55 Resimplifying inuse:
% 229.04/229.55 Done
% 229.04/229.55
% 229.04/229.55 Resimplifying inuse:
% 229.04/229.55 Done
% 229.04/229.55
% 229.04/229.55 Resimplifying clauses:
% 229.04/229.55 Done
% 229.04/229.55
% 229.04/229.55
% 229.04/229.55 Intermediate Status:
% 229.04/229.55 Generated: 549489
% 229.04/229.55 Kept: 187059
% 229.04/229.55 Inuse: 2142
% 229.04/229.55 Deleted: 11954
% 229.04/229.55 Deletedinuse: 314
% 229.04/229.55
% 229.04/229.55 Resimplifying inuse:
% 229.04/229.55 Done
% 229.04/229.55
% 229.04/229.55
% 229.04/229.55 Intermediate Status:
% 229.04/229.55 Generated: 563645
% 229.04/229.55 Kept: 190904
% 229.04/229.55 Inuse: 2147
% 229.04/229.55 Deleted: 11954
% 229.04/229.55 Deletedinuse: 314
% 229.04/229.55
% 229.04/229.55 Resimplifying inuse:
% 229.04/229.55 Done
% 229.04/229.55
% 229.04/229.55 Resimplifying inuse:
% 229.04/229.55 Done
% 229.04/229.55
% 229.04/229.55
% 229.04/229.55 Intermediate Status:
% 229.04/229.55 Generated: 570400
% 229.04/229.55 Kept: 192962
% 229.04/229.55 Inuse: 2166
% 229.04/229.55 Deleted: 11954
% 229.04/229.55 Deletedinuse: 314
% 229.04/229.55
% 229.04/229.55 Resimplifying inuse:
% 229.04/229.55 Done
% 229.04/229.55
% 229.04/229.55
% 229.04/229.55 Intermediate Status:
% 229.04/229.55 Generated: 586941
% 229.04/229.55 Kept: 197019
% 229.04/229.55 Inuse: 2182
% 229.04/229.55 Deleted: 11954
% 229.04/229.55 Deletedinuse: 314
% 229.04/229.55
% 229.04/229.55 Resimplifying inuse:
% 229.04/229.55 Done
% 229.04/229.55
% 229.04/229.55 Resimplifying inuse:
% 229.04/229.55 Done
% 229.04/229.55
% 229.04/229.55
% 229.04/229.55 Intermediate Status:
% 229.04/229.55 Generated: 593687
% 229.04/229.55 Kept: 199031
% 229.04/229.55 Inuse: 2210
% 229.04/229.55 Deleted: 11958
% 229.04/229.55 Deletedinuse: 318
% 229.04/229.55
% 229.04/229.55 ResimpliCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------