TSTP Solution File: SWW226+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWW226+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Wed Jul 20 23:21:23 EDT 2022
% Result : Timeout 300.02s 300.44s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWW226+1 : TPTP v8.1.0. Released v5.2.0.
% 0.11/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Sun Jun 5 21:22:20 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.94/1.52 *** allocated 10000 integers for termspace/termends
% 0.94/1.52 *** allocated 10000 integers for clauses
% 0.94/1.52 *** allocated 10000 integers for justifications
% 0.94/1.52 *** allocated 15000 integers for termspace/termends
% 0.94/1.52 *** allocated 22500 integers for termspace/termends
% 0.94/1.52 *** allocated 33750 integers for termspace/termends
% 0.94/1.52 Bliksem 1.12
% 0.94/1.52
% 0.94/1.52
% 0.94/1.52 Automatic Strategy Selection
% 0.94/1.52
% 0.94/1.52 *** allocated 50625 integers for termspace/termends
% 0.94/1.52 *** allocated 75937 integers for termspace/termends
% 0.94/1.52 *** allocated 113905 integers for termspace/termends
% 0.94/1.52
% 0.94/1.52 Clauses:
% 0.94/1.52
% 0.94/1.52 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.94/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.94/1.52 c_Int_OBit1( c_Int_OPls ) ) ), c_Groups_Oabs__class_Oabs(
% 0.94/1.52 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.94/1.52 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.94/1.52 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 0.94/1.52 ( tc_RealDef_Oreal, v_s____ ) ) ) ), c_RealDef_Oreal( tc_Nat_Onat,
% 0.94/1.52 v_N2____ ) ) }.
% 0.94/1.52 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.94/1.52 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.94/1.52 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.94/1.52 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.94/1.52 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 0.94/1.52 ( tc_RealDef_Oreal, v_s____ ) ) ) ) }.
% 0.94/1.52 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.94/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.94/1.52 c_Int_OBit1( c_Int_OPls ) ) ), c_Groups_Oabs__class_Oabs(
% 0.94/1.52 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.94/1.52 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.94/1.52 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 0.94/1.52 ( tc_RealDef_Oreal, v_s____ ) ) ) ), c_RealDef_Oreal( tc_Nat_Onat, skol1
% 0.94/1.52 ) ) }.
% 0.94/1.52 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.94/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.94/1.52 c_Int_OBit1( c_Int_OPls ) ) ), c_Groups_Oabs__class_Oabs(
% 0.94/1.52 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.94/1.52 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.94/1.52 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 0.94/1.52 ( tc_RealDef_Oreal, v_s____ ) ) ) ), c_RealDef_Oreal( tc_Nat_Onat, skol2
% 0.94/1.52 ) ) }.
% 0.94/1.52 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.94/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.94/1.52 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.94/1.52 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.94/1.52 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.94/1.52 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 0.94/1.52 ( tc_RealDef_Oreal, v_s____ ) ) ), c_Int_Onumber__class_Onumber__of(
% 0.94/1.52 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.94/1.52 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.94/1.52 tc_Nat_Onat, c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.94/1.52 v_N1____, v_N2____ ) ) ) ) }.
% 0.94/1.52 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.52 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.94/1.52 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, X, v_z____ ) ),
% 0.94/1.52 v_d____ ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.52 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.94/1.52 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, c_Polynomial_Opoly(
% 0.94/1.52 tc_Complex_Ocomplex, v_p, X ), c_Polynomial_Opoly( tc_Complex_Ocomplex,
% 0.94/1.52 v_p, v_z____ ) ) ), c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.94/1.52 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.94/1.52 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.94/1.52 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.94/1.52 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 0.94/1.52 ( tc_RealDef_Oreal, v_s____ ) ) ), c_Int_Onumber__class_Onumber__of(
% 0.94/1.52 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.94/1.52 { ! class_Int_Onumber__ring( X ), !
% 0.94/1.52 class_RealVector_Oreal__normed__algebra__1( X ),
% 0.94/1.52 c_RealVector_Onorm__class_Onorm( X, c_Int_Onumber__class_Onumber__of( X,
% 0.94/1.52 Y ) ) = c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.94/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, Y ) ) }.
% 0.94/1.52 { ! class_Fields_Ofield( X ), ! class_Int_Onumber__ring( X ),
% 0.94/1.52 c_Rings_Oinverse__class_Odivide( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.94/1.52 X, c_Int_OBit1( c_Int_OPls ) ) ) = Y }.
% 0.94/1.52 { ! class_Fields_Ofield( X ), ! class_Int_Onumber__ring( X ),
% 0.94/1.52 c_Rings_Oinverse__class_Odivide( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.94/1.52 X, c_Int_OBit1( c_Int_OPls ) ) ) = Y }.
% 0.94/1.52 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.94/1.52 , c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, T, Z )
% 0.94/1.52 ), Y ), c_Orderings_Oord__class_Oless( X, c_Groups_Ominus__class_Ominus
% 0.94/1.52 ( X, Z, Y ), T ) }.
% 0.94/1.52 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.94/1.52 , c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, T, Z )
% 0.94/1.52 ), Y ), c_Orderings_Oord__class_Oless( X, T, c_Groups_Oplus__class_Oplus
% 0.94/1.52 ( X, Z, Y ) ) }.
% 0.94/1.52 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.94/1.52 , c_Groups_Ominus__class_Ominus( X, Z, Y ), T ), !
% 0.94/1.52 c_Orderings_Oord__class_Oless( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.94/1.52 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Oabs__class_Oabs( X,
% 0.94/1.52 c_Groups_Ominus__class_Ominus( X, T, Z ) ), Y ) }.
% 0.94/1.52 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.94/1.52 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.94/1.52 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, X, v_z____ ) ) ), !
% 0.94/1.52 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.52 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.94/1.52 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, X, v_z____ ) ),
% 0.94/1.52 v_d____ ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.52 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.94/1.52 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, c_Polynomial_Opoly(
% 0.94/1.52 tc_Complex_Ocomplex, v_p, X ), c_Polynomial_Opoly( tc_Complex_Ocomplex,
% 0.94/1.52 v_p, v_z____ ) ) ), c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.94/1.52 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.94/1.52 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.94/1.52 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.94/1.52 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 0.94/1.52 ( tc_RealDef_Oreal, v_s____ ) ) ), c_Int_Onumber__class_Onumber__of(
% 0.94/1.52 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.94/1.52 { ! class_Fields_Ofield__inverse__zero( X ), !
% 0.94/1.52 class_RealVector_Oreal__normed__field( X ),
% 0.94/1.52 c_RealVector_Onorm__class_Onorm( X, c_Rings_Oinverse__class_Odivide( X, Z
% 0.94/1.52 , Y ) ) = c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.94/1.52 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.94/1.52 ( X, Y ) ) }.
% 0.94/1.53 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( X, Z ), Y ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( X, U ), T ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( X, c_Groups_Oplus__class_Oplus( X, Z, U
% 0.94/1.53 ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, T ) ) }.
% 0.94/1.53 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), v_d____ ) }.
% 0.94/1.53 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ozero__class_Ozero( X ) ) =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.94/1.53 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( X, Y ) = c_Groups_Ozero__class_Ozero(
% 0.94/1.53 tc_RealDef_Oreal ), Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.53 { ! class_RealVector_Oreal__normed__vector( X ), ! Y =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ), c_RealVector_Onorm__class_Onorm( X, Y )
% 0.94/1.53 = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.94/1.53 { c_Groups_Ominus__class_Ominus( tc_Int_Oint, X, c_Int_OPls ) = X }.
% 0.94/1.53 { c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit0
% 0.94/1.53 ( X ) ) = c_Int_OBit0( c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X )
% 0.94/1.53 ) }.
% 0.94/1.53 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Int_OPls ) = X }.
% 0.94/1.53 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OPls, X ) = X }.
% 0.94/1.53 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit0(
% 0.94/1.53 X ) ) = c_Int_OBit0( c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }
% 0.94/1.53 .
% 0.94/1.53 { c_Int_OBit0( X ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, X ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.94/1.53 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.94/1.53 .
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit1
% 0.94/1.53 ( X ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.94/1.53 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.94/1.53 .
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit1
% 0.94/1.53 ( X ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, c_Int_OPls ) }
% 0.94/1.53 .
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.94/1.53 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.94/1.53 .
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit0
% 0.94/1.53 ( X ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.94/1.53 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.94/1.53 .
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit0
% 0.94/1.53 ( X ) ) }.
% 0.94/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.94/1.53 c_Groups_Oplus__class_Oplus( X, Y, Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.94/1.53 , Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), ! Y =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.94/1.53 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.53 { c_RealVector_Onorm__class_Onorm( tc_RealDef_Oreal, X ) =
% 0.94/1.53 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) }.
% 0.94/1.53 { ! class_RealVector_Oreal__normed__field( X ),
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.94/1.53 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.53 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( X, Y ) ), ! Y =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.53 { ! class_RealVector_Oreal__normed__vector( X ), Y =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless(
% 0.94/1.53 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( X, Y ) ) }.
% 0.94/1.53 { c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit1
% 0.94/1.53 ( X ) ) = c_Int_OBit0( c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X )
% 0.94/1.53 ) }.
% 0.94/1.53 { c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit0
% 0.94/1.53 ( X ) ) = c_Int_OBit1( c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X )
% 0.94/1.53 ) }.
% 0.94/1.53 { c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Int_OPls, c_Int_OBit0( X )
% 0.94/1.53 ) = c_Int_OBit0( c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Int_OPls
% 0.94/1.53 , X ) ) }.
% 0.94/1.53 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit0(
% 0.94/1.53 X ) ) = c_Int_OBit1( c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }
% 0.94/1.53 .
% 0.94/1.53 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit1(
% 0.94/1.53 X ) ) = c_Int_OBit1( c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }
% 0.94/1.53 .
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( X ),
% 0.94/1.53 c_Int_OPls ), c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls )
% 0.94/1.53 }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( X ), c_Int_OPls
% 0.94/1.53 ) }.
% 0.94/1.53 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.94/1.53 , c_Groups_Oplus__class_Oplus( X, Y, Y ), c_Groups_Ozero__class_Ozero( X
% 0.94/1.53 ) ), c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X
% 0.94/1.53 ) ) }.
% 0.94/1.53 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.94/1.53 , Y, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 0.94/1.53 , c_Groups_Oplus__class_Oplus( X, Y, Y ), c_Groups_Ozero__class_Ozero( X
% 0.94/1.53 ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.94/1.53 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.94/1.53 .
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit0
% 0.94/1.53 ( X ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.94/1.53 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.94/1.53 .
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit0
% 0.94/1.53 ( X ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( X ),
% 0.94/1.53 c_Int_OPls ), c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls )
% 0.94/1.53 }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( X ), c_Int_OPls
% 0.94/1.53 ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, c_Int_OBit0( X
% 0.94/1.53 ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, c_Int_OBit0( X )
% 0.94/1.53 ) }.
% 0.94/1.53 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.94/1.53 c_Int_OPls ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.53 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( X, Y ), c_Groups_Ozero__class_Ozero(
% 0.94/1.53 tc_RealDef_Oreal ) ) }.
% 0.94/1.53 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.94/1.53 ), c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless(
% 0.94/1.53 tc_Int_Oint, Y, c_Int_OPls ) }.
% 0.94/1.53 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.94/1.53 ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.53 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( X, Y ) ), c_Orderings_Oord__class_Oless
% 0.94/1.53 ( tc_Int_Oint, c_Int_OPls, Y ) }.
% 0.94/1.53 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, Y ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.94/1.53 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.94/1.53 c_Int_OBit0( Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.94/1.53 c_Groups_Oplus__class_Oplus( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.94/1.53 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber__ring( X )
% 0.94/1.53 , c_Rings_Oinverse__class_Odivide( X, Y, c_Int_Onumber__class_Onumber__of
% 0.94/1.53 ( X, c_Int_OPls ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.53 { ! class_RealVector_Oreal__normed__field( X ), Y =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ), c_RealVector_Onorm__class_Onorm( X,
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.94/1.53 ( X, Y ) ) }.
% 0.94/1.53 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.94/1.53 ), c_Groups_Ozero__class_Ozero( X ) ), c_Groups_Oabs__class_Oabs( X,
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( X, c_Int_Onumber__class_Onumber__of( X,
% 0.94/1.53 Y ) ) }.
% 0.94/1.53 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.94/1.53 ), c_Groups_Ozero__class_Ozero( X ) ), c_Groups_Oabs__class_Oabs( X,
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( X, Y ) }.
% 0.94/1.53 { ! class_Int_Onumber__ring( X ), ! class_Int_Oring__char__0( X ), !
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( X, Z ) =
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( X, Y ), Z = Y }.
% 0.94/1.53 { ! class_Int_Onumber__ring( X ), ! class_Int_Oring__char__0( X ), ! Z = Y
% 0.94/1.53 , c_Int_Onumber__class_Onumber__of( X, Z ) =
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( X, Y ) }.
% 0.94/1.53 { ! class_Int_Onumber( X ), ! c_Int_Onumber__class_Onumber__of( X, Z ) = Y
% 0.94/1.53 , Y = c_Int_Onumber__class_Onumber__of( X, Z ) }.
% 0.94/1.53 { ! class_Int_Onumber( X ), ! Y = c_Int_Onumber__class_Onumber__of( X, Z )
% 0.94/1.53 , c_Int_Onumber__class_Onumber__of( X, Z ) = Y }.
% 0.94/1.53 { ! c_Int_OBit1( Y ) = c_Int_OBit1( X ), Y = X }.
% 0.94/1.53 { ! Y = X, c_Int_OBit1( Y ) = c_Int_OBit1( X ) }.
% 0.94/1.53 { ! c_Int_OBit0( Y ) = c_Int_OBit0( X ), Y = X }.
% 0.94/1.53 { ! Y = X, c_Int_OBit0( Y ) = c_Int_OBit0( X ) }.
% 0.94/1.53 { c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X,
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.94/1.53 c_Int_OBit1( c_Int_OPls ) ) ) ), c_Rings_Oinverse__class_Odivide(
% 0.94/1.53 tc_RealDef_Oreal, X, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 0.94/1.53 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) = X }.
% 0.94/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.53 class_Int_Onumber__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.94/1.53 ) ) ) ) ) }.
% 0.94/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.53 class_Int_Onumber__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.94/1.53 ) ) ) ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero
% 0.94/1.53 ( X ), Y ) }.
% 0.94/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.53 class_Int_Onumber__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.94/1.53 ) ) ) ) ) }.
% 0.94/1.53 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.94/1.53 ), c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, Y ) }.
% 0.94/1.53 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, Y ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.94/1.53 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.94/1.53 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( X, T ), c_Groups_Oplus__class_Oplus( X
% 0.94/1.53 , c_Int_Onumber__class_Onumber__of( X, Z ), Y ) ) =
% 0.94/1.53 c_Groups_Oplus__class_Oplus( X, c_Int_Onumber__class_Onumber__of( X,
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, T, Z ) ), Y ) }.
% 0.94/1.53 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( X, Z ),
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.94/1.53 tc_Int_Oint, Z, Y ) ) }.
% 0.94/1.53 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, Y ) ) =
% 0.94/1.53 c_Groups_Oplus__class_Oplus( X, c_Int_Onumber__class_Onumber__of( X, Z )
% 0.94/1.53 , c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.94/1.53 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.94/1.53 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Z, Y ) ) =
% 0.94/1.53 c_Groups_Ominus__class_Ominus( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.94/1.53 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.94/1.53 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y ) ) =
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( X, c_Int_Onumber__class_Onumber__of( X,
% 0.94/1.53 Y ) ) }.
% 0.94/1.53 { ! class_Int_Onumber__ring( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( X, c_Groups_Ouminus__class_Ouminus(
% 0.94/1.53 tc_Int_Oint, Y ) ) }.
% 0.94/1.53 { ! class_RealVector_Oreal__normed__field( X ),
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, T, Z
% 0.94/1.53 ), Y ) = c_Groups_Oplus__class_Oplus( X, c_Rings_Oinverse__class_Odivide
% 0.94/1.53 ( X, T, Y ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.94/1.53 { ! class_RealVector_Oreal__normed__field( X ),
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X, T,
% 0.94/1.53 Z ), Y ) = c_Groups_Ominus__class_Ominus( X,
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( X, T, Y ),
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.94/1.53 { ! c_Int_OBit1( X ) = c_Int_OPls }.
% 0.94/1.53 { ! c_Int_OPls = c_Int_OBit1( X ) }.
% 0.94/1.53 { ! c_Int_OBit1( Y ) = c_Int_OBit0( X ) }.
% 0.94/1.53 { ! c_Int_OBit0( Y ) = c_Int_OBit1( X ) }.
% 0.94/1.53 { ! c_Int_OBit0( X ) = c_Int_OPls, X = c_Int_OPls }.
% 0.94/1.53 { ! X = c_Int_OPls, c_Int_OBit0( X ) = c_Int_OPls }.
% 0.94/1.53 { ! c_Int_OPls = c_Int_OBit0( X ), c_Int_OPls = X }.
% 0.94/1.53 { ! c_Int_OPls = X, c_Int_OPls = c_Int_OBit0( X ) }.
% 0.94/1.53 { c_Int_OBit0( c_Int_OPls ) = c_Int_OPls }.
% 0.94/1.53 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus( X, Z,
% 0.94/1.53 Y ) ) = c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus
% 0.94/1.53 ( X, Y, Z ) ) }.
% 0.94/1.53 { ! class_RealVector_Oreal__normed__field( X ),
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ouminus__class_Ouminus( X, Z
% 0.94/1.53 ), Y ) = c_Groups_Ouminus__class_Ouminus( X,
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.94/1.53 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ouminus__class_Ouminus( X, Y
% 0.94/1.53 ) ) = c_RealVector_Onorm__class_Onorm( X, Y ) }.
% 0.94/1.53 { ! class_RealVector_Oreal__normed__vector( X ), c_Groups_Oabs__class_Oabs
% 0.94/1.53 ( tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm( X, Y ) ) =
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( X, Y ) }.
% 0.94/1.53 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( X, T ), c_Groups_Ominus__class_Ominus(
% 0.94/1.53 X, c_Int_Onumber__class_Onumber__of( X, Z ), Y ) ) =
% 0.94/1.53 c_Groups_Ominus__class_Ominus( X, c_Int_Onumber__class_Onumber__of( X,
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, T, Z ) ), Y ) }.
% 0.94/1.53 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( X, c_Int_OPls ), Y ) = Y }.
% 0.94/1.53 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X, Y,
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( X, c_Int_OPls ) ) = Y }.
% 0.94/1.53 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol3 ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.94/1.53 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, X, v_z____ ) ) ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.94/1.53 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, X, v_z____ ) ), skol3
% 0.94/1.53 ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.94/1.53 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, c_Polynomial_Opoly(
% 0.94/1.53 tc_Complex_Ocomplex, v_p, X ), c_Polynomial_Opoly( tc_Complex_Ocomplex,
% 0.94/1.53 v_p, v_z____ ) ) ), c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.94/1.53 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 0.94/1.53 ( tc_RealDef_Oreal, v_s____ ) ) ), c_Int_Onumber__class_Onumber__of(
% 0.94/1.53 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.94/1.53 { c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.94/1.53 c_Int_OBit1( c_Int_OPls ) ) ) ), X ) = c_Rings_Oinverse__class_Odivide(
% 0.94/1.53 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, X )
% 0.94/1.53 , c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.94/1.53 c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.94/1.53 { c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.94/1.53 c_Int_OBit1( c_Int_OPls ) ) ) ), Y ) = c_Rings_Oinverse__class_Odivide(
% 0.94/1.53 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X, Y )
% 0.94/1.53 , c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.94/1.53 c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.94/1.53 c_Int_OBit1( c_Int_OPls ) ) ) ), X ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y,
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.94/1.53 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.94/1.53 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol4 ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.94/1.53 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, X, v_z____ ) ) ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.94/1.53 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, X, v_z____ ) ), skol4
% 0.94/1.53 ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.94/1.53 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, c_Polynomial_Opoly(
% 0.94/1.53 tc_Complex_Ocomplex, v_p, X ), c_Polynomial_Opoly( tc_Complex_Ocomplex,
% 0.94/1.53 v_p, v_z____ ) ) ), c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.94/1.53 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 0.94/1.53 ( tc_RealDef_Oreal, v_s____ ) ) ), c_Int_Onumber__class_Onumber__of(
% 0.94/1.53 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.94/1.53 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.94/1.53 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, c_Polynomial_Opoly(
% 0.94/1.53 tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ),
% 0.94/1.53 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p, v_z____ ) ) ),
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.94/1.53 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 0.94/1.53 ( tc_RealDef_Oreal, v_s____ ) ) ), c_Int_Onumber__class_Onumber__of(
% 0.94/1.53 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.94/1.53 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.53 c_Int_OPls ) ) ), X ) = c_Nat_OSuc( c_Nat_OSuc( X ) ) }.
% 0.94/1.53 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.53 c_Int_OPls ) ) ) ) = c_Nat_OSuc( c_Nat_OSuc( X ) ) }.
% 0.94/1.53 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.94/1.53 ( tc_Complex_Ocomplex, v_p, v_g____( X ) ) ), c_Groups_Oplus__class_Oplus
% 0.94/1.53 ( tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.94/1.53 v_s____ ), c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.94/1.53 tc_Nat_Onat, c_Nat_OSuc( X ) ) ) ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.94/1.53 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) =
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) }.
% 0.94/1.53 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.94/1.53 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) = X }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.94/1.53 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) =
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) }.
% 0.94/1.53 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.94/1.53 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) = X }.
% 0.94/1.53 { c_SEQ_Osubseq( v_f____ ) }.
% 0.94/1.53 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.94/1.53 ( tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) ),
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.94/1.53 tc_Nat_Onat, c_Nat_OSuc( hAPP( v_f____, c_Groups_Oplus__class_Oplus(
% 0.94/1.53 tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) ) ) ) }.
% 0.94/1.53 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.94/1.53 ( tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) ),
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.94/1.53 tc_Nat_Onat, c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.94/1.53 v_N1____, v_N2____ ) ) ) ) ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, v_N1____, X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.94/1.53 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, v_g____( hAPP(
% 0.94/1.53 v_f____, X ) ), v_z____ ) ), v_d____ ) }.
% 0.94/1.53 { c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.94/1.53 ( tc_Int_Oint ) ) = c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), c_Groups_Oabs__class_Oabs(
% 0.94/1.53 tc_Int_Oint, X ) = c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) }.
% 0.94/1.53 { c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), c_Groups_Oabs__class_Oabs(
% 0.94/1.53 tc_Int_Oint, X ) = X }.
% 0.94/1.53 { c_Groups_Ouminus__class_Ouminus( tc_Int_Oint,
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) = X }.
% 0.94/1.53 { c_Groups_Ouminus__class_Ouminus( tc_Int_Oint,
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) =
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( tc_Int_Oint,
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) }.
% 0.94/1.53 { c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Groups_Oplus__class_Oplus
% 0.94/1.53 ( tc_Int_Oint, Y, X ) ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y ),
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) }.
% 0.94/1.53 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.94/1.53 tc_Int_Oint ), X ) = X }.
% 0.94/1.53 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Ozero__class_Ozero
% 0.94/1.53 ( tc_Int_Oint ) ) = X }.
% 0.94/1.53 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) =
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, Y ) }.
% 0.94/1.53 { c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X ) =
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y,
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ominus__class_Ominus
% 0.94/1.53 ( tc_Int_Oint, Y, X ), c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.94/1.53 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X ),
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 0.94/1.53 { c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), Y = X,
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, Y ) }.
% 0.94/1.53 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y,
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) =
% 0.94/1.53 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X ) }.
% 0.94/1.53 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, c_Groups_Oplus__class_Oplus
% 0.94/1.53 ( tc_Int_Oint, Y, X ) ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y,
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, X ) ) }.
% 0.94/1.53 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Ouminus__class_Ouminus
% 0.94/1.53 ( tc_Int_Oint, X ), X ) = c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.94/1.53 { c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) =
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( tc_Int_Oint,
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }.
% 0.94/1.53 { c_Groups_Ominus__class_Ominus( tc_Int_Oint,
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) =
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( tc_Int_Oint,
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y,
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) }.
% 0.94/1.53 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.94/1.53 tc_Int_Oint, Z, Y ), X ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z,
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.94/1.53 tc_Int_Oint, Y, Z ), c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, Z ) ) }
% 0.94/1.53 .
% 0.94/1.53 { ! class_RealVector_Oreal__normed__algebra__1( X ),
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( X, c_Groups_Oone__class_Oone( X ) ) =
% 0.94/1.53 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.94/1.53 { ! c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) =
% 0.94/1.53 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.94/1.53 ( tc_Nat_Onat ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.94/1.53 tc_Nat_Onat ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) }.
% 0.94/1.53 { c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OPls ) =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.53 { c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) =
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OPls ) }.
% 0.94/1.53 { c_RealDef_Oreal( tc_Nat_Onat, c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 0.94/1.53 tc_Nat_Onat ) ) ) = c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.94/1.53 { c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Int_OPls ) = c_Int_OPls }
% 0.94/1.53 .
% 0.94/1.53 { c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Int_OBit0( X ) ) =
% 0.94/1.53 c_Int_OBit0( c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( X ),
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( X ),
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.94/1.53 { c_Int_OPls = c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.94/1.53 { c_Groups_Ozero__class_Ozero( tc_Int_Oint ) =
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OPls ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( X ),
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( X ),
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.94/1.53 { ! c_RealDef_Oreal( tc_Nat_Onat, X ) = c_Groups_Ozero__class_Ozero(
% 0.94/1.53 tc_RealDef_Oreal ), X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.53 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_RealDef_Oreal(
% 0.94/1.53 tc_Nat_Onat, X ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.94/1.53 { c_RealDef_Oreal( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat )
% 0.94/1.53 ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.94/1.53 { ! class_Int_Onumber__ring( X ), c_Groups_Ominus__class_Ominus( X,
% 0.94/1.53 c_Groups_Oone__class_Oone( X ), c_Int_Onumber__class_Onumber__of( X, Y )
% 0.94/1.53 ) = c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.94/1.53 tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), c_Groups_Ouminus__class_Ouminus(
% 0.94/1.53 tc_Int_Oint, Y ) ) ) }.
% 0.94/1.53 { ! class_Int_Onumber__ring( X ), c_Groups_Ominus__class_Ominus( X,
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Oone__class_Oone( X )
% 0.94/1.53 ) = c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.94/1.53 tc_Int_Oint, Y, c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Int_OBit1
% 0.94/1.53 ( c_Int_OPls ) ) ) ) }.
% 0.94/1.53 { ! class_Int_Onumber__ring( X ), c_Groups_Ominus__class_Ominus( X,
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( X, Z ),
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.94/1.53 tc_Int_Oint, Z, c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y ) ) ) }.
% 0.94/1.53 { ! class_Int_Onumber__ring( X ), c_Groups_Oone__class_Oone( X ) =
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit1( c_Int_OPls ) ) }.
% 0.94/1.53 { c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1( c_Int_OPls )
% 0.94/1.53 ) = c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.94/1.53 { c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1( c_Int_OBit1(
% 0.94/1.53 c_Int_OPls ) ) ) = c_Nat_OSuc( c_Nat_OSuc( c_Nat_OSuc(
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) ) }.
% 0.94/1.53 { c_RealDef_Oreal( tc_Nat_Onat, c_Nat_OSuc( X ) ) =
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.94/1.53 tc_Nat_Onat, X ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs
% 0.94/1.53 ( tc_RealDef_Oreal, X ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) )
% 0.94/1.53 , X ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.94/1.53 tc_Nat_Onat, X ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.94/1.53 ( tc_Nat_Onat ), X ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.94/1.53 tc_Nat_Onat, X ) ) }.
% 0.94/1.53 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( X, T ), c_Groups_Ominus__class_Ominus(
% 0.94/1.53 X, Z, c_Int_Onumber__class_Onumber__of( X, Y ) ) ) =
% 0.94/1.53 c_Groups_Oplus__class_Oplus( X, c_Int_Onumber__class_Onumber__of( X,
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, T,
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y ) ) ), Z ) }.
% 0.94/1.53 { c_Nat_OSuc( c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) =
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.53 c_Int_OPls ) ) ) }.
% 0.94/1.53 { c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.53 c_Int_OPls ) ) ) = c_Nat_OSuc( c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 0.94/1.53 tc_Nat_Onat ) ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.53 c_Int_OPls ) ) ) ), X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X =
% 0.94/1.53 c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.94/1.53 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oone__class_Oone
% 0.94/1.53 ( tc_RealDef_Oreal ), c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) )
% 0.94/1.53 ) }.
% 0.94/1.53 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.94/1.53 c_Int_OBit1( Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.94/1.53 c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ),
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.94/1.53 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.94/1.53 c_Int_OBit1( c_Int_OPls ) ) = c_Groups_Oone__class_Oone( X ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ), alpha1( X, Y ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 0.94/1.53 { ! alpha1( X, Y ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) }.
% 0.94/1.53 { ! alpha1( X, Y ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ) }.
% 0.94/1.53 { c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), alpha1( X, Y ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ), alpha1( X
% 0.94/1.53 , Y ) }.
% 0.94/1.53 { ! c_RealDef_Oreal( tc_Nat_Onat, Y ) = c_RealDef_Oreal( tc_Nat_Onat, X ),
% 0.94/1.53 Y = X }.
% 0.94/1.53 { ! Y = X, c_RealDef_Oreal( tc_Nat_Onat, Y ) = c_RealDef_Oreal( tc_Nat_Onat
% 0.94/1.53 , X ) }.
% 0.94/1.53 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ),
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( X, Y ) ), c_Orderings_Oord__class_Oless
% 0.94/1.53 ( tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), Y ) }.
% 0.94/1.53 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), Y
% 0.94/1.53 ), c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ),
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.94/1.53 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.94/1.53 ), c_Groups_Oone__class_Oone( X ) ), c_Orderings_Oord__class_Oless(
% 0.94/1.53 tc_Int_Oint, Y, c_Int_OBit1( c_Int_OPls ) ) }.
% 0.94/1.53 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OBit1( c_Int_OPls )
% 0.94/1.53 ), c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X
% 0.94/1.53 , Y ), c_Groups_Oone__class_Oone( X ) ) }.
% 0.94/1.53 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.53 c_Groups_Oone__class_Oone( X ), c_Int_Onumber__class_Onumber__of( X, Y )
% 0.94/1.53 ) = c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.94/1.53 tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), Y ) ) }.
% 0.94/1.53 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Oone__class_Oone( X )
% 0.94/1.53 ) = c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.94/1.53 tc_Int_Oint, Y, c_Int_OBit1( c_Int_OPls ) ) ) }.
% 0.94/1.53 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.53 c_Groups_Oone__class_Oone( X ), c_Groups_Oone__class_Oone( X ) ) =
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.94/1.53 ) ) ) }.
% 0.94/1.53 { ! class_Groups_Oab__group__add( X ), c_Groups_Ominus__class_Ominus( X,
% 0.94/1.53 c_Groups_Oplus__class_Oplus( X, U, T ), c_Groups_Oplus__class_Oplus( X, Z
% 0.94/1.53 , Y ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Ominus__class_Ominus(
% 0.94/1.53 X, U, Z ), c_Groups_Ominus__class_Ominus( X, T, Y ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ),
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) =
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) }.
% 0.94/1.53 { c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ),
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) =
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ) }.
% 0.94/1.53 { c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ),
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) =
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat,
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.94/1.53 tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.94/1.53 tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ) }.
% 0.94/1.53 { c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, c_RealDef_Oreal( tc_Nat_Onat
% 0.94/1.53 , X ) ) = c_RealDef_Oreal( tc_Nat_Onat, X ) }.
% 0.94/1.53 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Oplus__class_Oplus( X, Z, Y )
% 0.94/1.53 = c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ouminus__class_Ouminus
% 0.94/1.53 ( X, Z ) }.
% 0.94/1.53 { ! class_Groups_Ogroup__add( X ), ! Y = c_Groups_Ouminus__class_Ouminus( X
% 0.94/1.53 , Z ), c_Groups_Oplus__class_Oplus( X, Z, Y ) =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.53 { ! class_Int_Onumber__ring( X ), c_Groups_Ozero__class_Ozero( X ) =
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( X, c_Int_OPls ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OPls ), X ),
% 0.94/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) =
% 0.94/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y,
% 0.94/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X,
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1( c_Int_OPls )
% 0.94/1.53 ) ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.94/1.53 tc_Nat_Onat, X ), c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.94/1.53 { ! c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y,
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) ) =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y = X }.
% 0.94/1.53 { ! Y = X, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y,
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) ) =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.94/1.53 { ! c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ) =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X =
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) }.
% 0.94/1.53 { ! X = c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ),
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ) =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.94/1.53 { c_RealDef_Oreal( tc_Nat_Onat, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y
% 0.94/1.53 , X ) ) = c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_RealDef_Oreal
% 0.94/1.53 ( tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ) }.
% 0.94/1.53 { c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, X ) =
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y,
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) ) }.
% 0.94/1.53 { c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, X ) =
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y,
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) ) }.
% 0.94/1.53 { c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus
% 0.94/1.53 ( tc_RealDef_Oreal, Y, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal
% 0.94/1.53 , X ) ) ) = c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, X,
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) ) ) }.
% 0.94/1.53 { c_Nat_OSuc( c_Nat_OSuc( c_Nat_OSuc( X ) ) ) = c_Groups_Oplus__class_Oplus
% 0.94/1.53 ( tc_Nat_Onat, c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1
% 0.94/1.53 ( c_Int_OBit1( c_Int_OPls ) ) ), X ) }.
% 0.94/1.53 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.94/1.53 tc_Nat_Onat, c_Nat_OSuc( X ) ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ) ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ), X ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ), X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.94/1.53 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.94/1.53 ( tc_Complex_Ocomplex, v_p, v_g____( hAPP( v_f____,
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) ) )
% 0.94/1.53 }.
% 0.94/1.53 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.94/1.53 tc_Nat_Onat, c_Nat_OSuc( hAPP( v_f____, c_Groups_Oplus__class_Oplus(
% 0.94/1.53 tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) ) ), c_Groups_Oplus__class_Oplus
% 0.94/1.53 ( tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.94/1.53 v_s____ ), c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.94/1.53 tc_Nat_Onat, c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.94/1.53 v_N1____, v_N2____ ) ) ) ) ) ) }.
% 0.94/1.53 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.94/1.53 tc_Nat_Onat, c_Nat_OSuc( hAPP( v_f____, c_Groups_Oplus__class_Oplus(
% 0.94/1.53 tc_Nat_Onat, v_N1____, v_N2____ ) ) ) ) ),
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.94/1.53 tc_Nat_Onat, c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.94/1.53 v_N1____, v_N2____ ) ) ) ) ) }.
% 0.94/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.53 class_Int_Onumber__ring( X ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.94/1.53 c_Groups_Oone__class_Oone( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.94/1.53 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.94/1.53 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.94/1.53 ( tc_Complex_Ocomplex, v_p, v_g____( X ) ) ) ) }.
% 0.94/1.53 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ), hAPP(
% 0.94/1.53 v_f____, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____ ) )
% 0.94/1.53 ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, skol5( X ), Y ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.94/1.53 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, v_g____( hAPP(
% 0.94/1.53 v_f____, Y ) ), v_z____ ) ), X ) }.
% 0.94/1.53 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.94/1.53 tc_Nat_Onat ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0
% 0.94/1.53 ( c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.94/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oabs__class_Oabs( X, Z ), Y
% 0.94/1.53 ) = c_Groups_Oabs__class_Oabs( X, c_Rings_Oinverse__class_Odivide( X, Z
% 0.94/1.53 , Y ) ) }.
% 0.94/1.53 { ! class_Groups_Oabs__if( X ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ) ), c_Groups_Oabs__class_Oabs( X, Y ) =
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( X, Y ) }.
% 0.94/1.53 { ! class_Groups_Oabs__if( X ), c_Orderings_Oord__class_Oless( X, Y,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ) ), c_Groups_Oabs__class_Oabs( X, Y ) = Y
% 0.94/1.53 }.
% 0.94/1.53 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_Groups_Oone__class_Oone
% 0.94/1.53 ( tc_RealDef_Oreal ) ) }.
% 0.94/1.53 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.94/1.53 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, Z ) ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X, Y ) ), Z ) }.
% 0.94/1.53 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), v_r ) }.
% 0.94/1.53 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.94/1.53 tc_Nat_Onat, X ) ) }.
% 0.94/1.53 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, v_g____( X ) ), v_r
% 0.94/1.53 ) }.
% 0.94/1.53 { ! c_Groups_Ozero__class_Ozero( tc_Int_Oint ) = c_Groups_Oone__class_Oone
% 0.94/1.53 ( tc_Int_Oint ) }.
% 0.94/1.53 { c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) = X }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, Y ), Y = X }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, Z ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, Z ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.94/1.53 tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.94/1.53 tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ) }.
% 0.94/1.53 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, Y ) }.
% 0.94/1.53 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, X ) }.
% 0.94/1.53 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.94/1.53 , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Z, Y ) }.
% 0.94/1.53 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Z, Y ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.94/1.53 , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.94/1.53 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.94/1.53 T ), c_Groups_Oplus__class_Oplus( X, Y, T ) ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__semigroup__add( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.94/1.53 U ), c_Groups_Oplus__class_Oplus( X, Y, T ) ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__semigroup__add( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.94/1.53 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__semigroup__add( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.94/1.53 T ), c_Groups_Oplus__class_Oplus( X, Y, T ) ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.94/1.53 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.94/1.53 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.94/1.53 Z ), c_Groups_Oplus__class_Oplus( X, Y, Z ) ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, T, Y ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.94/1.53 Z ), c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.94/1.53 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.94/1.53 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.94/1.53 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.94/1.53 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, U, T ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.94/1.53 , Y ), c_Groups_Ouminus__class_Ouminus( X, Z ) ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.94/1.53 , Z ), c_Groups_Ouminus__class_Ouminus( X, Y ) ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, Y, Z ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.94/1.53 , Z ), c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.94/1.53 , Z ), Y ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( X, Y ), Z ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.94/1.53 , Y ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( X, Z ), Y ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ouminus__class_Ouminus
% 0.94/1.53 ( X, Y ) ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( X, Z ) ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ouminus__class_Ouminus
% 0.94/1.53 ( X, Z ) ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), X =
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, skol6( X, Y ) ) }.
% 0.94/1.53 { ! X = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 0.94/1.53 Y ), c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Oabs__class_Oabs( X, Y
% 0.94/1.53 ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ), Y = X }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.94/1.53 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ), ! Y = X }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ), Y = X,
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ) }.
% 0.94/1.53 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) =
% 0.94/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.94/1.53 ( tc_Nat_Onat, Y, c_Groups_Oone__class_Oone( tc_Nat_Onat ) ), X ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.94/1.53 ( tc_Nat_Onat ), X ), X = c_Nat_OSuc( c_Groups_Ominus__class_Ominus(
% 0.94/1.53 tc_Nat_Onat, X, c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oabs__class_Oabs(
% 0.94/1.53 tc_Int_Oint, X ), c_Groups_Oone__class_Oone( tc_Int_Oint ) ), X =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.94/1.53 { ! X = c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oabs__class_Oabs(
% 0.94/1.53 tc_Int_Oint, X ), c_Groups_Oone__class_Oone( tc_Int_Oint ) ) }.
% 0.94/1.53 { c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.94/1.53 tc_Int_Oint ), c_Groups_Oone__class_Oone( tc_Int_Oint ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Z, Y ),
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Z, X ) ) }.
% 0.94/1.53 { ! c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.94/1.53 tc_Int_Oint, c_Groups_Oone__class_Oone( tc_Int_Oint ), X ), X ) =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.94/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.53 c_Groups_Oplus__class_Oplus( X, Y, Y ) ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.94/1.53 ) }.
% 0.94/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.94/1.53 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.94/1.53 ), c_Groups_Oplus__class_Oplus( X, Y, Y ) ) }.
% 0.94/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Y,
% 0.94/1.53 Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.53 ) }.
% 0.94/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.53 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X
% 0.94/1.53 , Y, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.53 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.94/1.53 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.94/1.53 X ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, Y, Z )
% 0.94/1.53 ) }.
% 0.94/1.53 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.94/1.53 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.94/1.53 X ), Z ), ! c_Groups_Oplus__class_Oplus( X, Y, Z ) =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.94/1.53 .
% 0.94/1.53 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.94/1.53 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.94/1.53 X ), Z ), ! c_Groups_Oplus__class_Oplus( X, Y, Z ) =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ) }
% 0.94/1.53 .
% 0.94/1.53 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.94/1.53 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.94/1.53 X ), Z ), ! Y = c_Groups_Ozero__class_Ozero( X ), ! Z =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, Y, Z )
% 0.94/1.53 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.53 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.94/1.53 ), ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Oplus__class_Oplus( X,
% 0.94/1.53 Y, Z ) ) }.
% 0.94/1.53 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.94/1.53 ), ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Oplus__class_Oplus( X,
% 0.94/1.53 Z, Y ) ) }.
% 0.94/1.53 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.53 ), ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.53 , c_Groups_Oplus__class_Oplus( X, Y, Z ), c_Groups_Ozero__class_Ozero( X
% 0.94/1.53 ) ) }.
% 0.94/1.53 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, U, T ), c_Orderings_Oord__class_Oless(
% 0.94/1.53 X, c_Groups_Oplus__class_Oplus( X, Z, U ), c_Groups_Oplus__class_Oplus( X
% 0.94/1.53 , Y, T ) ) }.
% 0.94/1.53 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, Z, Y ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Z, U )
% 0.94/1.53 , c_Groups_Oplus__class_Oplus( X, Y, T ) ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ominus__class_Ominus( X, Z
% 0.94/1.53 , Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ominus__class_Ominus( X, Z
% 0.94/1.53 , Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( X, Y ) ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.53 ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.53 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.94/1.53 ), c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.94/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ouminus__class_Ouminus
% 0.94/1.53 ( X, Y ) ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.53 ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.94/1.53 , Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.94/1.53 ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.94/1.53 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus
% 0.94/1.53 ( X, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.94/1.53 , Y ), Y ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.94/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.94/1.53 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus
% 0.94/1.53 ( X, Y ), Y ) }.
% 0.94/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ), alpha2( X, Y, Z ), alpha35
% 0.94/1.53 ( X, Y, Z ) }.
% 0.94/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha2( X, Y, Z
% 0.94/1.53 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.94/1.53 ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.94/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha35( X, Y, Z
% 0.94/1.53 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.94/1.53 ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.94/1.53 { ! alpha35( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.53 { ! alpha35( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.94/1.53 ) ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ) ), alpha35( X, Y, Z ) }.
% 0.94/1.53 { ! alpha2( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.94/1.53 { ! alpha2( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.53 , Z ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ), Y ), alpha2( X, Y, Z ) }.
% 0.94/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.94/1.53 , Z, Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha3( X, Y, Z ), alpha36
% 0.94/1.53 ( X, Y, Z ) }.
% 0.94/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha3( X, Y, Z
% 0.94/1.53 ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 0.94/1.53 ( X, Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha36( X, Y, Z
% 0.94/1.53 ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 0.94/1.53 ( X, Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.53 { ! alpha36( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.53 { ! alpha36( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.94/1.53 ) ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero
% 0.94/1.53 ( X ), Y ), alpha36( X, Y, Z ) }.
% 0.94/1.53 { ! alpha3( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.94/1.53 { ! alpha3( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.53 , Z ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ) ), alpha3( X, Y, Z ) }.
% 0.94/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.94/1.53 ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 0.94/1.53 ( X, Z, T ), c_Rings_Oinverse__class_Odivide( X, Y, T ) ) }.
% 0.94/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.53 ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 0.94/1.53 ( X, Y, T ), c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.53 c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X, Y ),
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ) ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.94/1.53 }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ), ! Y =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.53 c_Groups_Oabs__class_Oabs( X, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.94/1.53 ), c_Groups_Oabs__class_Oabs( X, Y ) = Y }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X,
% 0.94/1.53 c_Groups_Oplus__class_Oplus( X, Z, Y ) ), c_Groups_Oplus__class_Oplus( X
% 0.94/1.53 , c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) )
% 0.94/1.53 ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ominus__class_Ominus( X,
% 0.94/1.53 c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) ),
% 0.94/1.53 c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, Y, Z ) )
% 0.94/1.53 ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ominus__class_Ominus( X,
% 0.94/1.53 c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) ),
% 0.94/1.53 c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, Z, Y ) )
% 0.94/1.53 ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X,
% 0.94/1.53 c_Groups_Ominus__class_Ominus( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 0.94/1.53 c_Groups_Oabs__class_Oabs( X, Y ) ) ), c_Groups_Oabs__class_Oabs( X,
% 0.94/1.53 c_Groups_Ominus__class_Ominus( X, Z, Y ) ) ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 0.94/1.53 Y ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( X, Z ), Y ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.94/1.53 , Z ), Y ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.53 c_Groups_Oabs__class_Oabs( X, Z ), Y ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 0.94/1.53 Y ), c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 0.94/1.53 Y ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( X, Z ), Y ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.94/1.53 , Z ), Y ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.53 c_Groups_Oabs__class_Oabs( X, Z ), Y ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.94/1.53 , Y ), c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.94/1.53 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.94/1.53 , Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OPls ) }.
% 0.94/1.53 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OPls ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.94/1.53 , Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.53 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, Y ) }.
% 0.94/1.53 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, Y ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.94/1.53 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.94/1.53 , Y ), c_Groups_Oone__class_Oone( X ) ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OBit1(
% 0.94/1.53 c_Int_OPls ) ) }.
% 0.94/1.53 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OBit1(
% 0.94/1.53 c_Int_OPls ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Oone__class_Oone( X )
% 0.94/1.53 ) }.
% 0.94/1.53 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ),
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( c_Int_OPls )
% 0.94/1.53 , Y ) }.
% 0.94/1.53 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( c_Int_OPls )
% 0.94/1.53 , Y ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X
% 0.94/1.53 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.94/1.53 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.53 ), ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.94/1.53 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y
% 0.94/1.53 , Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.53 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.94/1.53 ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.94/1.53 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y
% 0.94/1.53 , Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.53 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.94/1.53 ), ! c_Orderings_Oord__class_Oless( X, T, Z ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, T, c_Groups_Oplus__class_Oplus( X, Y, Z
% 0.94/1.53 ) ) }.
% 0.94/1.53 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.94/1.53 ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, T, c_Groups_Oplus__class_Oplus( X, Y, Z
% 0.94/1.53 ) ) }.
% 0.94/1.53 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.94/1.53 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.53 , Z ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.53 , c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.94/1.53 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.94/1.53 ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.53 , Z ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.53 , c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.94/1.53 { ! class_Fields_Olinordered__field( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.53 ), ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.94/1.53 ) ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.94/1.53 X ), c_Rings_Oinverse__class_Odivide( X, Y, Z ) ) }.
% 0.94/1.53 { ! class_Fields_Olinordered__field( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.53 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.53 , Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( X, Y, Z ), c_Groups_Ozero__class_Ozero(
% 0.94/1.53 X ) ) }.
% 0.94/1.53 { ! class_Fields_Olinordered__field( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.94/1.53 ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 0.94/1.53 ! c_Orderings_Oord__class_Oless__eq( X, T, U ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.94/1.53 , Y, U ), c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.94/1.53 { ! class_Fields_Olinordered__field( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.94/1.53 ), ! c_Orderings_Oord__class_Oless( X, Y, Z ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 0.94/1.53 ! c_Orderings_Oord__class_Oless__eq( X, T, U ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, Y,
% 0.94/1.53 U ), c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.94/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.53 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, Y, Z ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 0.94/1.53 ! c_Orderings_Oord__class_Oless( X, T, U ), c_Orderings_Oord__class_Oless
% 0.94/1.53 ( X, c_Rings_Oinverse__class_Odivide( X, Y, U ),
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.94/1.53 { ! class_Fields_Olinordered__field( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.94/1.53 ), ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.94/1.53 ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( X, Y, Z ), c_Groups_Ozero__class_Ozero(
% 0.94/1.53 X ) ) }.
% 0.94/1.53 { ! class_Fields_Olinordered__field( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.94/1.53 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.53 , Z ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero
% 0.94/1.53 ( X ), c_Rings_Oinverse__class_Odivide( X, Y, Z ) ) }.
% 0.94/1.53 { ! class_Int_Onumber( X ), ! class_Orderings_Olinorder( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.94/1.53 , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.94/1.53 ), c_Int_Onumber__class_Onumber__of( X, Z ) ) }.
% 0.94/1.53 { ! class_Int_Onumber( X ), ! class_Orderings_Olinorder( X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.94/1.53 ), c_Int_Onumber__class_Onumber__of( X, Z ) ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.94/1.53 , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.53 ), c_Groups_Oabs__class_Oabs( X, Y ) = c_Groups_Ouminus__class_Ouminus(
% 0.94/1.53 X, Y ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.94/1.53 , c_Groups_Oabs__class_Oabs( X, Y ) ), c_Groups_Ozero__class_Ozero( X ) )
% 0.94/1.53 }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X,
% 0.94/1.53 c_Groups_Ominus__class_Ominus( X, c_Groups_Oplus__class_Oplus( X, U, T )
% 0.94/1.53 , c_Groups_Oplus__class_Oplus( X, Z, Y ) ) ), c_Groups_Oplus__class_Oplus
% 0.94/1.53 ( X, c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, U, Z
% 0.94/1.53 ) ), c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, T,
% 0.94/1.53 Y ) ) ) ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X,
% 0.94/1.53 c_Groups_Ominus__class_Ominus( X, Z, Y ) ), c_Groups_Oplus__class_Oplus(
% 0.94/1.53 X, c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) )
% 0.94/1.53 ) }.
% 0.94/1.53 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( X, Y ) ) }.
% 0.94/1.53 { c_Groups_Oone__class_Oone( tc_Int_Oint ) =
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit1( c_Int_OPls )
% 0.94/1.53 ) }.
% 0.94/1.53 { c_Nat_OSuc( X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.94/1.53 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) }.
% 0.94/1.53 { c_Nat_OSuc( X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.94/1.53 c_Groups_Oone__class_Oone( tc_Nat_Onat ), X ) }.
% 0.94/1.53 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) = X }.
% 0.94/1.53 { Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) = c_Nat_OSuc(
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus(
% 0.94/1.53 tc_Nat_Onat, Y, c_Groups_Oone__class_Oone( tc_Nat_Onat ) ), X ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.94/1.53 ( tc_Nat_Onat ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ),
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) = c_Nat_OSuc(
% 0.94/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ),
% 0.94/1.53 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) ), alpha4( X, Y
% 0.94/1.53 ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) ), alpha37( X,
% 0.94/1.53 Y ) }.
% 0.94/1.53 { ! alpha4( X, Y ), ! alpha37( X, Y ), c_Orderings_Oord__class_Oless__eq(
% 0.94/1.53 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) ) }.
% 0.94/1.53 { ! alpha37( X, Y ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), alpha37( X, Y ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), alpha37( X, Y ) }.
% 0.94/1.53 { ! alpha4( X, Y ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y
% 0.94/1.53 , c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), alpha4( X, Y ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), alpha4( X, Y ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.94/1.53 tc_Nat_Onat, X ), c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), X =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.53 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.94/1.53 tc_Nat_Onat, X ), c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, X ),
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, X ),
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.94/1.53 { c_Int_OBit1( X ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Oone__class_Oone(
% 0.94/1.53 tc_Int_Oint ), X ), X ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus
% 0.94/1.53 ( tc_Int_Oint, c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.94/1.53 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ), X ),
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.94/1.53 tc_Int_Oint, c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.94/1.53 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ), X ),
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.94/1.53 tc_Int_Oint ) ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), Y
% 0.94/1.53 = X }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.94/1.53 tc_Int_Oint ) ) ) }.
% 0.94/1.53 { ! Y = X, c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.94/1.53 tc_Int_Oint ) ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), c_RealDef_Oreal
% 0.94/1.53 ( tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) =
% 0.94/1.53 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.94/1.53 tc_Nat_Onat, X ), c_RealDef_Oreal( tc_Nat_Onat, Y ) ) }.
% 0.94/1.53 { c_RealDef_Oreal( tc_Nat_Onat, c_Groups_Oone__class_Oone( tc_Nat_Onat ) )
% 0.94/1.53 = c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.94/1.53 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, Y ),
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_Complex_Ocomplex, Y, X ) ),
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ) ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Y ), X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ), Y ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Y ), X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ), Y ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Y ), X ) }.
% 0.94/1.53 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( X, Y ), c_Groups_Ozero__class_Ozero(
% 0.94/1.53 tc_RealDef_Oreal ) ), Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.53 { ! class_RealVector_Oreal__normed__vector( X ), ! Y =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless__eq(
% 0.94/1.53 tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm( X, Y ),
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.94/1.53 { ! class_Groups_Ozero( X ), ! c_Groups_Ozero__class_Ozero( X ) = Y, Y =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.53 { ! class_Groups_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ) = Y }.
% 0.94/1.53 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( X, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.94/1.53 ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.94/1.53 ( X, Y ) ) ) }.
% 0.94/1.53 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus( X, Z,
% 0.94/1.53 Y ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.94/1.53 ( X, Y ) ) ) }.
% 0.94/1.53 { c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1( c_Int_OPls )
% 0.94/1.53 ) = c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.94/1.53 { c_Groups_Oone__class_Oone( tc_Nat_Onat ) =
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1( c_Int_OPls )
% 0.94/1.53 ) }.
% 0.94/1.53 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.94/1.53 ( X, Y ) ), c_RealVector_Onorm__class_Onorm( X,
% 0.94/1.53 c_Groups_Oplus__class_Oplus( X, Z, Y ) ) ) }.
% 0.94/1.53 { ! class_Groups_Ocancel__semigroup__add( X ), !
% 0.94/1.53 c_Groups_Oplus__class_Oplus( X, Z, T ) = c_Groups_Oplus__class_Oplus( X,
% 0.94/1.53 Y, T ), Z = Y }.
% 0.94/1.53 { ! class_Groups_Ocancel__ab__semigroup__add( X ), !
% 0.94/1.53 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.94/1.53 T, Y ), Z = Y }.
% 0.94/1.53 { ! class_Groups_Ocancel__semigroup__add( X ), !
% 0.94/1.53 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.94/1.53 T, Y ), Z = Y }.
% 0.94/1.53 { ! class_Groups_Ocancel__semigroup__add( X ), !
% 0.94/1.53 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.94/1.53 Y, Z ), T = Y }.
% 0.94/1.53 { ! class_Groups_Ocancel__semigroup__add( X ), ! T = Y,
% 0.94/1.53 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.94/1.53 Y, Z ) }.
% 0.94/1.53 { ! class_Groups_Ocancel__semigroup__add( X ), !
% 0.94/1.53 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.94/1.53 T, Y ), Z = Y }.
% 0.94/1.53 { ! class_Groups_Ocancel__semigroup__add( X ), ! Z = Y,
% 0.94/1.53 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.94/1.53 T, Y ) }.
% 0.94/1.53 { ! class_Groups_Oab__semigroup__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.53 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.94/1.53 ( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y ) ) }.
% 0.94/1.53 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.94/1.53 ( X, Y ) ), c_RealVector_Onorm__class_Onorm( X,
% 0.94/1.53 c_Groups_Ominus__class_Ominus( X, Z, Y ) ) ) }.
% 0.94/1.53 { ! class_Groups_Oab__group__add( X ), ! c_Groups_Ominus__class_Ominus( X,
% 0.94/1.53 U, T ) = c_Groups_Ominus__class_Ominus( X, Z, Y ), ! U = T, Z = Y }.
% 0.94/1.53 { ! class_Groups_Oab__group__add( X ), ! c_Groups_Ominus__class_Ominus( X,
% 0.94/1.53 U, T ) = c_Groups_Ominus__class_Ominus( X, Z, Y ), ! Z = Y, U = T }.
% 0.94/1.53 { ! class_Groups_Oone( X ), ! c_Groups_Oone__class_Oone( X ) = Y, Y =
% 0.94/1.53 c_Groups_Oone__class_Oone( X ) }.
% 0.94/1.53 { ! class_Groups_Oone( X ), ! Y = c_Groups_Oone__class_Oone( X ),
% 0.94/1.53 c_Groups_Oone__class_Oone( X ) = Y }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ) ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ), X ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ), X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.94/1.53 tc_Nat_Onat, Y ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.94/1.53 c_RealDef_Oreal( tc_Nat_Onat, X ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.94/1.53 tc_Nat_Onat, Y ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.94/1.53 c_RealDef_Oreal( tc_Nat_Onat, X ) ), c_Orderings_Oord__class_Oless(
% 0.94/1.53 tc_Nat_Onat, Y, X ) }.
% 0.94/1.53 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ouminus__class_Ouminus( X, Z
% 0.94/1.53 ) = c_Groups_Ouminus__class_Ouminus( X, Y ), Z = Y }.
% 0.94/1.53 { ! class_Groups_Ogroup__add( X ), ! Z = Y, c_Groups_Ouminus__class_Ouminus
% 0.94/1.53 ( X, Z ) = c_Groups_Ouminus__class_Ouminus( X, Y ) }.
% 0.94/1.53 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ouminus__class_Ouminus( X, Z
% 0.94/1.53 ) = Y, c_Groups_Ouminus__class_Ouminus( X, Y ) = Z }.
% 0.94/1.53 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ouminus__class_Ouminus( X, Y
% 0.94/1.53 ) = Z, c_Groups_Ouminus__class_Ouminus( X, Z ) = Y }.
% 0.94/1.53 { ! class_Groups_Ogroup__add( X ), ! Z = c_Groups_Ouminus__class_Ouminus( X
% 0.94/1.53 , Y ), Y = c_Groups_Ouminus__class_Ouminus( X, Z ) }.
% 0.94/1.53 { ! class_Groups_Ogroup__add( X ), ! Y = c_Groups_Ouminus__class_Ouminus( X
% 0.94/1.53 , Z ), Z = c_Groups_Ouminus__class_Ouminus( X, Y ) }.
% 0.94/1.53 { ! class_Groups_Ogroup__add( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( X, Y ) ) = Y }.
% 0.94/1.53 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus
% 0.94/1.53 ( tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, T, Z )
% 0.94/1.53 , c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ),
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) ) ) ),
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs
% 0.94/1.53 ( tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, T,
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) ) ),
% 0.94/1.53 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus
% 0.94/1.53 ( tc_RealDef_Oreal, Z, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal
% 0.94/1.53 , X ) ) ) ) ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.94/1.53 c_Groups_Oabs__class_Oabs( X, c_Groups_Oabs__class_Oabs( X, Y ) ) =
% 0.94/1.53 c_Groups_Oabs__class_Oabs( X, Y ) }.
% 0.94/1.53 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus( X,
% 0.94/1.53 c_Groups_Oplus__class_Oplus( X, U, T ), c_Groups_Oplus__class_Oplus( X, Z
% 0.94/1.53 , Y ) ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus( X, U,
% 0.94/1.53 Z ) ), c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus
% 0.94/1.53 ( X, T, Y ) ) ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.94/1.53 tc_Nat_Onat, Y ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.94/1.53 c_RealDef_Oreal( tc_Nat_Onat, X ), c_Groups_Oone__class_Oone(
% 0.94/1.53 tc_RealDef_Oreal ) ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.94/1.53 tc_Nat_Onat, Y ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.94/1.53 c_RealDef_Oreal( tc_Nat_Onat, X ), c_Groups_Oone__class_Oone(
% 0.94/1.53 tc_RealDef_Oreal ) ) ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y
% 0.94/1.53 , X ) }.
% 0.94/1.53 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.94/1.53 ( X, Y ) ) ), c_RealVector_Onorm__class_Onorm( X,
% 0.94/1.53 c_Groups_Ominus__class_Ominus( X, Z, Y ) ) ) }.
% 0.94/1.53 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Oone__class_Oone(
% 0.94/1.53 tc_Nat_Onat ), c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) =
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.53 c_Int_OPls ) ) ) }.
% 0.94/1.53 { ! class_Groups_Ocomm__monoid__add( X ), c_Groups_Oplus__class_Oplus( X, Y
% 0.94/1.53 , c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.94/1.53 { ! class_Groups_Omonoid__add( X ), c_Groups_Oplus__class_Oplus( X, Y,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.94/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ) = c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.94/1.53 , Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), ! Y =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ), c_Groups_Ozero__class_Ozero( X ) =
% 0.94/1.53 c_Groups_Oplus__class_Oplus( X, Y, Y ) }.
% 0.94/1.53 { ! class_Groups_Ocomm__monoid__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ), Y ) = Y }.
% 0.94/1.53 { ! class_Groups_Omonoid__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ), Y ) = Y }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.94/1.53 , c_Groups_Oplus__class_Oplus( X, T, Y ) ), c_Orderings_Oord__class_Oless
% 0.94/1.53 ( X, Z, Y ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Z, T )
% 0.94/1.53 , c_Groups_Oplus__class_Oplus( X, Y, T ) ), c_Orderings_Oord__class_Oless
% 0.94/1.53 ( X, Z, Y ) }.
% 0.94/1.53 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.94/1.53 ( X, U, T ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.53 c_Groups_Oplus__class_Oplus( X, Z, U ), c_Groups_Oplus__class_Oplus( X, Y
% 0.94/1.53 , T ) ) }.
% 0.94/1.53 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.94/1.53 X, c_Groups_Oplus__class_Oplus( X, T, Z ), c_Groups_Oplus__class_Oplus( X
% 0.94/1.53 , T, Y ) ) }.
% 0.94/1.53 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.94/1.53 X, c_Groups_Oplus__class_Oplus( X, Z, T ), c_Groups_Oplus__class_Oplus( X
% 0.94/1.53 , Y, T ) ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.94/1.53 , c_Groups_Oplus__class_Oplus( X, T, Y ) ), c_Orderings_Oord__class_Oless
% 0.94/1.53 ( X, Z, Y ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.94/1.53 X, c_Groups_Oplus__class_Oplus( X, T, Z ), c_Groups_Oplus__class_Oplus( X
% 0.94/1.53 , T, Y ) ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.94/1.53 , c_Groups_Oplus__class_Oplus( X, Y, Z ) ), c_Orderings_Oord__class_Oless
% 0.94/1.53 ( X, T, Y ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, T, Y ), c_Orderings_Oord__class_Oless(
% 0.94/1.53 X, c_Groups_Oplus__class_Oplus( X, T, Z ), c_Groups_Oplus__class_Oplus( X
% 0.94/1.53 , Y, Z ) ) }.
% 0.94/1.53 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ominus__class_Ominus( X, Z, Y
% 0.94/1.53 ) = c_Groups_Ozero__class_Ozero( X ), Z = Y }.
% 0.94/1.53 { ! class_Groups_Ogroup__add( X ), ! Z = Y, c_Groups_Ominus__class_Ominus(
% 0.94/1.53 X, Z, Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.53 { ! class_Groups_Oab__group__add( X ), ! Z = Y,
% 0.94/1.53 c_Groups_Ominus__class_Ominus( X, Z, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.94/1.53 ) }.
% 0.94/1.53 { ! class_Groups_Oab__group__add( X ), ! c_Groups_Ominus__class_Ominus( X,
% 0.94/1.53 Z, Y ) = c_Groups_Ozero__class_Ozero( X ), Z = Y }.
% 0.94/1.53 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X, Y, Y )
% 0.94/1.53 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.53 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X, Y,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.94/1.53 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.94/1.53 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, U, T ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.94/1.53 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.94/1.53 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, Z, Y ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, U, T ) }.
% 0.94/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( X, Y ) = Y, Y =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), ! Y =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ), c_Groups_Ouminus__class_Ouminus( X, Y )
% 0.94/1.53 = Y }.
% 0.94/1.53 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ouminus__class_Ouminus( X, Y
% 0.94/1.53 ) = c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X
% 0.94/1.53 ) }.
% 0.94/1.53 { ! class_Groups_Ogroup__add( X ), ! Y = c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( X, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.94/1.53 ) }.
% 0.94/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), ! Y =
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( X, Y ), Y = c_Groups_Ozero__class_Ozero
% 0.94/1.53 ( X ) }.
% 0.94/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), ! Y =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ouminus__class_Ouminus( X
% 0.94/1.53 , Y ) }.
% 0.94/1.53 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ozero__class_Ozero( X ) =
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( X, Y ), c_Groups_Ozero__class_Ozero( X )
% 0.94/1.53 = Y }.
% 0.94/1.53 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ozero__class_Ozero( X ) = Y,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ) = c_Groups_Ouminus__class_Ouminus( X, Y
% 0.94/1.53 ) }.
% 0.94/1.53 { ! class_Groups_Ogroup__add( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.53 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X,
% 0.94/1.53 c_Groups_Oplus__class_Oplus( X, Z, Y ), Y ) = Z }.
% 0.94/1.53 { ! class_Groups_Ogroup__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.53 c_Groups_Ominus__class_Ominus( X, Z, Y ), Y ) = Z }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Z )
% 0.94/1.53 , c_Groups_Ouminus__class_Ouminus( X, Y ) ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, Y, Z ), c_Orderings_Oord__class_Oless(
% 0.94/1.53 X, c_Groups_Ouminus__class_Ouminus( X, Z ),
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Z )
% 0.94/1.53 , Y ), c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus
% 0.94/1.53 ( X, Y ), Z ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Y )
% 0.94/1.53 , Z ), c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus
% 0.94/1.53 ( X, Z ), Y ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ouminus__class_Ouminus( X,
% 0.94/1.53 Y ) ), c_Orderings_Oord__class_Oless( X, Y,
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( X, Z ) ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ouminus__class_Ouminus( X,
% 0.94/1.53 Z ) ), c_Orderings_Oord__class_Oless( X, Z,
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.94/1.53 { ! class_Groups_Ogroup__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( X, Z ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.53 Z, Y ) ) = Y }.
% 0.94/1.53 { ! class_Groups_Ogroup__add( X ), c_Groups_Oplus__class_Oplus( X, Z,
% 0.94/1.53 c_Groups_Oplus__class_Oplus( X, c_Groups_Ouminus__class_Ouminus( X, Z ),
% 0.94/1.53 Y ) ) = Y }.
% 0.94/1.53 { ! class_Groups_Ogroup__add( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.94/1.53 c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus( X
% 0.94/1.53 , c_Groups_Ouminus__class_Ouminus( X, Y ),
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( X, Z ) ) }.
% 0.94/1.53 { ! class_Groups_Oab__group__add( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.94/1.53 c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus( X
% 0.94/1.53 , c_Groups_Ouminus__class_Ouminus( X, Z ),
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.94/1.53 { ! class_Groups_Oab__group__add( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.94/1.53 c_Groups_Ominus__class_Ominus( X, Z, Y ) ) =
% 0.94/1.53 c_Groups_Ominus__class_Ominus( X, Y, Z ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.94/1.53 c_Groups_Oabs__class_Oabs( X, Y ) = c_Groups_Ozero__class_Ozero( X ), Y =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ), ! Y =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oabs__class_Oabs( X, Y ) =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.94/1.53 c_Groups_Oabs__class_Oabs( X, c_Groups_Ozero__class_Ozero( X ) ) =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.94/1.53 c_Groups_Oabs__class_Oabs( X, c_Groups_Oplus__class_Oplus( X,
% 0.94/1.53 c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) ) )
% 0.94/1.53 = c_Groups_Oplus__class_Oplus( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 0.94/1.53 c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.94/1.53 { ! class_Fields_Ofield__inverse__zero( X ),
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ouminus__class_Ouminus( X, Z
% 0.94/1.53 ), c_Groups_Ouminus__class_Ouminus( X, Y ) ) =
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.94/1.53 { ! class_Fields_Ofield__inverse__zero( X ),
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( X, c_Rings_Oinverse__class_Odivide( X, Z
% 0.94/1.53 , Y ) ) = c_Rings_Oinverse__class_Odivide( X, Z,
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.94/1.53 c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, Z, Y ) )
% 0.94/1.53 = c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, Y, Z )
% 0.94/1.53 ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.94/1.53 c_Groups_Oabs__class_Oabs( X, c_Groups_Ouminus__class_Ouminus( X, Y ) ) =
% 0.94/1.53 c_Groups_Oabs__class_Oabs( X, Y ) }.
% 0.94/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ),
% 0.94/1.53 c_Groups_Oabs__class_Oabs( X, c_Rings_Oinverse__class_Odivide( X, Z, Y )
% 0.94/1.53 ) = c_Rings_Oinverse__class_Odivide( X, c_Groups_Oabs__class_Oabs( X, Z
% 0.94/1.53 ), c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.94/1.53 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.94/1.53 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.94/1.53 , c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y, Z
% 0.94/1.53 ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.53 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.94/1.53 ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.94/1.53 , c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.53 c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.94/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.94/1.53 , c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, Y
% 0.94/1.53 , c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.94/1.53 , c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.53 c_Groups_Oplus__class_Oplus( X, Y, Y ) ), c_Orderings_Oord__class_Oless(
% 0.94/1.53 X, c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.94/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.53 c_Groups_Oplus__class_Oplus( X, Y, Y ) ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.94/1.53 X, c_Groups_Ominus__class_Ominus( X, Z, Y ), c_Groups_Ozero__class_Ozero
% 0.94/1.53 ( X ) ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ominus__class_Ominus( X, Z, Y
% 0.94/1.53 ), c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 0.94/1.53 , Z, Y ) }.
% 0.94/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Y )
% 0.94/1.53 , Y ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.53 , Y ) }.
% 0.94/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Y )
% 0.94/1.53 , Y ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Y )
% 0.94/1.53 , c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Y )
% 0.94/1.53 , c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( X, Y ) ), c_Orderings_Oord__class_Oless
% 0.94/1.53 ( X, Y, c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.94/1.53 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Oplus__class_Oplus( X, Z, Y )
% 0.94/1.53 = c_Groups_Ozero__class_Ozero( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.94/1.53 Z ) = Y }.
% 0.94/1.53 { ! class_Groups_Oab__group__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( X, Y ), Y ) =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.53 { ! class_Groups_Ogroup__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( X, Y ), Y ) =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.53 { ! class_Groups_Ogroup__add( X ), ! Z = c_Groups_Ouminus__class_Ouminus( X
% 0.94/1.53 , Y ), c_Groups_Oplus__class_Oplus( X, Z, Y ) =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.53 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Oplus__class_Oplus( X, Z, Y )
% 0.94/1.53 = c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ouminus__class_Ouminus
% 0.94/1.53 ( X, Y ) }.
% 0.94/1.53 { ! class_Groups_Ogroup__add( X ), c_Groups_Oplus__class_Oplus( X, Y,
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( X, Y ) ) = c_Groups_Ozero__class_Ozero(
% 0.94/1.53 X ) }.
% 0.94/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.53 X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, T,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( X, Y, T ),
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.94/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.53 X, Z, Y ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( X, Z, T ),
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( X, Y, T ) ) }.
% 0.94/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.53 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.94/1.53 ( X, Z, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 0.94/1.53 ( X, c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X
% 0.94/1.53 , Y, Z ) ) }.
% 0.94/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.53 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.94/1.53 ( X, c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless
% 0.94/1.53 ( X, c_Rings_Oinverse__class_Odivide( X, Y, Z ),
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.53 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.94/1.53 ( X, Z, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 0.94/1.53 ( X, c_Rings_Oinverse__class_Odivide( X, Y, Z ),
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.53 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.94/1.53 ( X, c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless
% 0.94/1.53 ( X, c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X
% 0.94/1.53 , Y, Z ) ) }.
% 0.94/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, Z,
% 0.94/1.53 Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha5( X, Y, Z ), alpha38( X, Y
% 0.94/1.53 , Z ) }.
% 0.94/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha5( X, Y, Z
% 0.94/1.53 ), c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X
% 0.94/1.53 , Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha38( X, Y, Z
% 0.94/1.53 ), c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X
% 0.94/1.53 , Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.53 { ! alpha38( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.53 { ! alpha38( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.94/1.53 , ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.94/1.53 ), alpha38( X, Y, Z ) }.
% 0.94/1.53 { ! alpha5( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.94/1.53 { ! alpha5( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.94/1.53 , ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.53 ), alpha5( X, Y, Z ) }.
% 0.94/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ), alpha6( X, Y, Z ), alpha39
% 0.94/1.53 ( X, Y, Z ) }.
% 0.94/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha6( X, Y, Z
% 0.94/1.53 ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.94/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha39( X, Y, Z
% 0.94/1.53 ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.94/1.53 { ! alpha39( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.53 { ! alpha39( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.94/1.53 , ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.53 ), alpha39( X, Y, Z ) }.
% 0.94/1.53 { ! alpha6( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.94/1.53 { ! alpha6( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.94/1.53 , ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.94/1.53 ), alpha6( X, Y, Z ) }.
% 0.94/1.53 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ouminus__class_Ouminus(
% 0.94/1.53 X, Y ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.94/1.53 c_Groups_Oabs__class_Oabs( X, Y ) = Y }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.53 c_Groups_Oabs__class_Oabs( X, Y ) ), ! Y = c_Groups_Ozero__class_Ozero( X
% 0.94/1.53 ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ), Y =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Oabs__class_Oabs( X, Y ),
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.53 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X, Z,
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( X, Y ) ) = c_Groups_Oplus__class_Oplus(
% 0.94/1.53 X, Z, Y ) }.
% 0.94/1.53 { ! class_Groups_Oab__group__add( X ), c_Groups_Ominus__class_Ominus( X, Z
% 0.94/1.53 , Y ) = c_Groups_Oplus__class_Oplus( X, Z,
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.94/1.53 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X, Z, Y )
% 0.94/1.53 = c_Groups_Oplus__class_Oplus( X, Z, c_Groups_Ouminus__class_Ouminus( X
% 0.94/1.53 , Y ) ) }.
% 0.94/1.53 { ! class_Fields_Olinordered__field( X ), Y = c_Groups_Ozero__class_Ozero(
% 0.94/1.53 X ), c_Groups_Oabs__class_Oabs( X, c_Rings_Oinverse__class_Odivide( X, Z
% 0.94/1.53 , Y ) ) = c_Rings_Oinverse__class_Odivide( X, c_Groups_Oabs__class_Oabs(
% 0.94/1.53 X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.94/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.53 X, Z, Y ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.94/1.53 ), c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ),
% 0.94/1.53 c_Groups_Oone__class_Oone( X ) ) ), Y ) }.
% 0.94/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.53 X, Z, Y ), c_Orderings_Oord__class_Oless( X, Z,
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.94/1.53 ), c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ),
% 0.94/1.53 c_Groups_Oone__class_Oone( X ) ) ) ) }.
% 0.94/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.94/1.53 c_Groups_Oabs__class_Oabs( X, Y ) = c_Groups_Ouminus__class_Ouminus( X, Y
% 0.94/1.53 ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, skol7, X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.94/1.53 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, v_g____( hAPP(
% 0.94/1.53 v_f____, X ) ), v_z____ ) ), v_d____ ) }.
% 0.94/1.53 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.94/1.53 tc_Nat_Onat ), c_Nat_OSuc( X ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, T, Z ) ), X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.94/1.53 c_Int_OBit1( c_Int_OPls ) ) ), X ), c_Groups_Oplus__class_Oplus(
% 0.94/1.53 tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, T, Z ) ), Y ) ) }.
% 0.94/1.53 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Z ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, skol8( X, Y, Z ) ) ), Z ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, T ) ), c_RealDef_Oreal(
% 0.94/1.53 tc_Nat_Onat, c_Nat_OSuc( skol29( X, Y ) ) ) ) }.
% 0.94/1.53 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, skol32( X, Y, Z ) ) ),
% 0.94/1.53 c_RealDef_Oreal( tc_Nat_Onat, c_Nat_OSuc( Z ) ) ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol34( T, U ) ) }.
% 0.94/1.53 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, skol32( X, Y, Z ) ) ),
% 0.94/1.53 c_RealDef_Oreal( tc_Nat_Onat, c_Nat_OSuc( Z ) ) ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, T ) ), skol34( X, Y ) ) }.
% 0.94/1.53 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Z ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, skol9( X, Y, Z ) ) ), Z ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, T ) ), c_RealDef_Oreal(
% 0.94/1.53 tc_Nat_Onat, c_Nat_OSuc( skol30( X, Y ) ) ) ) }.
% 0.94/1.53 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, skol33( X, Y, Z ) ) ),
% 0.94/1.53 c_RealDef_Oreal( tc_Nat_Onat, c_Nat_OSuc( Z ) ) ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol35( T, U ) ) }.
% 0.94/1.53 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, skol33( X, Y, Z ) ) ),
% 0.94/1.53 c_RealDef_Oreal( tc_Nat_Onat, c_Nat_OSuc( Z ) ) ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, T ) ), skol35( X, Y ) ) }.
% 0.94/1.53 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, v_w____ ), v_r ) }
% 0.94/1.53 .
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ), v_r ), !
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.94/1.53 ( tc_Complex_Ocomplex, v_p, X ) ) = c_Groups_Ouminus__class_Ouminus(
% 0.94/1.53 tc_RealDef_Oreal, Y ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y
% 0.94/1.53 , c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ), v_r ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.94/1.53 ( tc_Complex_Ocomplex, v_p, X ) ) ) }.
% 0.94/1.53 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_Complex_Ocomplex ) ), v_r ) }.
% 0.94/1.53 { c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.94/1.53 ( tc_Complex_Ocomplex, v_p, c_Groups_Ozero__class_Ozero(
% 0.94/1.53 tc_Complex_Ocomplex ) ) ) = c_Groups_Ouminus__class_Ouminus(
% 0.94/1.53 tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.94/1.53 ( tc_Complex_Ocomplex, v_p, c_Groups_Ozero__class_Ozero(
% 0.94/1.53 tc_Complex_Ocomplex ) ) ) ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.94/1.53 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc( X ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), c_Nat_OSuc(
% 0.94/1.53 X ) ) }.
% 0.94/1.53 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.94/1.53 { ! alpha7( Y ), ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, Y )
% 0.94/1.53 , c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, v_s____ ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, v_s____ ), alpha7(
% 0.94/1.53 skol10( Y ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, v_s____ ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, skol10( X ) ) }.
% 0.94/1.53 { ! alpha7( X ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, skol11( Y ) ), v_r
% 0.94/1.53 ) }.
% 0.94/1.53 { ! alpha7( X ), c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.94/1.53 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p, skol11( X ) ) ) =
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, Y ), v_r ), !
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.94/1.53 ( tc_Complex_Ocomplex, v_p, Y ) ) = c_Groups_Ouminus__class_Ouminus(
% 0.94/1.53 tc_RealDef_Oreal, X ), alpha7( X ) }.
% 0.94/1.53 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( X, T ), c_Groups_Otimes__class_Otimes(
% 0.94/1.53 X, c_Int_Onumber__class_Onumber__of( X, Z ), Y ) ) =
% 0.94/1.53 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X,
% 0.94/1.53 c_Groups_Otimes__class_Otimes( tc_Int_Oint, T, Z ) ), Y ) }.
% 0.94/1.53 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( X, Z ),
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( X, c_Groups_Otimes__class_Otimes(
% 0.94/1.53 tc_Int_Oint, Z, Y ) ) }.
% 0.94/1.53 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.94/1.53 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ) ) =
% 0.94/1.53 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.94/1.53 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.94/1.53 { ! class_Groups_Oab__semigroup__mult( X ), c_Groups_Otimes__class_Otimes(
% 0.94/1.53 X, c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) =
% 0.94/1.53 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Otimes__class_Otimes( X, Z
% 0.94/1.53 , Y ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, Y ), Y = X }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, Z ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, Z ) }.
% 0.94/1.53 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, Y ) }.
% 0.94/1.53 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, X ) }.
% 0.94/1.53 { ! class_RealVector_Oreal__normed__div__algebra( X ),
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( X, c_Groups_Otimes__class_Otimes( X, Z,
% 0.94/1.53 Y ) ) = c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.94/1.53 ( X, Y ) ) }.
% 0.94/1.53 { c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) =
% 0.94/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) }.
% 0.94/1.53 { c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, Y ), X ) =
% 0.94/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z,
% 0.94/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ) }.
% 0.94/1.53 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( X, c_Groups_Otimes__class_Otimes( X, Z,
% 0.94/1.53 Y ) ), c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.94/1.53 ( X, Y ) ) ) }.
% 0.94/1.53 { ! class_RealVector_Oreal__normed__algebra( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( X, Z ), Y ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( X, U ), T ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.53 c_RealVector_Onorm__class_Onorm( X, c_Groups_Otimes__class_Otimes( X, Z,
% 0.94/1.53 U ) ), c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, T ) ) }.
% 0.94/1.53 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.94/1.53 c_Groups_Otimes__class_Otimes( X, Y, c_Groups_Ozero__class_Ozero( X ) ) =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.53 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.94/1.53 c_Groups_Otimes__class_Otimes( X, Y, c_Groups_Ozero__class_Ozero( X ) ) =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.53 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.94/1.53 c_Groups_Otimes__class_Otimes( X, c_Groups_Ozero__class_Ozero( X ), Y ) =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.53 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.94/1.53 c_Groups_Otimes__class_Otimes( X, c_Groups_Ozero__class_Ozero( X ), Y ) =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.53 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.94/1.53 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.94/1.53 ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.94/1.53 T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.94/1.53 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.94/1.53 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.94/1.53 ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.94/1.53 T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.94/1.53 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.94/1.53 c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.94/1.53 , Y ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 0.94/1.53 , T, Y ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.94/1.53 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.94/1.53 c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.94/1.53 , Y ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 0.94/1.53 , T, Y ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.94/1.53 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.94/1.53 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Ominus__class_Ominus( X, Z
% 0.94/1.53 , Y ) ) = c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes
% 0.94/1.53 ( X, T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.94/1.53 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.94/1.53 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Ominus__class_Ominus( X, Z
% 0.94/1.53 , Y ) ) = c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes
% 0.94/1.53 ( X, T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.94/1.53 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.94/1.53 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, T, Z
% 0.94/1.53 ), Y ) = c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes
% 0.94/1.53 ( X, T, Y ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.94/1.53 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.94/1.53 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, T, Z
% 0.94/1.53 ), Y ) = c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes
% 0.94/1.53 ( X, T, Y ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.94/1.53 { ! class_Groups_Ocomm__monoid__mult( X ), c_Groups_Otimes__class_Otimes( X
% 0.94/1.53 , Y, c_Groups_Oone__class_Oone( X ) ) = Y }.
% 0.94/1.53 { ! class_Groups_Omonoid__mult( X ), c_Groups_Otimes__class_Otimes( X, Y,
% 0.94/1.53 c_Groups_Oone__class_Oone( X ) ) = Y }.
% 0.94/1.53 { ! class_Groups_Ocomm__monoid__mult( X ), c_Groups_Otimes__class_Otimes( X
% 0.94/1.53 , c_Groups_Oone__class_Oone( X ), Y ) = Y }.
% 0.94/1.53 { ! class_Groups_Omonoid__mult( X ), c_Groups_Otimes__class_Otimes( X,
% 0.94/1.53 c_Groups_Oone__class_Oone( X ), Y ) = Y }.
% 0.94/1.53 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.94/1.53 c_Groups_Otimes__class_Otimes( X, Z, c_Groups_Ouminus__class_Ouminus( X,
% 0.94/1.53 Y ) ) = c_Groups_Ouminus__class_Ouminus( X, c_Groups_Otimes__class_Otimes
% 0.94/1.53 ( X, Z, Y ) ) }.
% 0.94/1.53 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.94/1.53 c_Groups_Otimes__class_Otimes( X, Z, c_Groups_Ouminus__class_Ouminus( X,
% 0.94/1.53 Y ) ) = c_Groups_Ouminus__class_Ouminus( X, c_Groups_Otimes__class_Otimes
% 0.94/1.53 ( X, Z, Y ) ) }.
% 0.94/1.53 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.94/1.53 c_Groups_Otimes__class_Otimes( X, c_Groups_Ouminus__class_Ouminus( X, Z )
% 0.94/1.53 , Y ) = c_Groups_Ouminus__class_Ouminus( X, c_Groups_Otimes__class_Otimes
% 0.94/1.53 ( X, Z, Y ) ) }.
% 0.94/1.53 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.94/1.53 c_Groups_Otimes__class_Otimes( X, c_Groups_Ouminus__class_Ouminus( X, Z )
% 0.94/1.53 , Y ) = c_Groups_Ouminus__class_Ouminus( X, c_Groups_Otimes__class_Otimes
% 0.94/1.53 ( X, Z, Y ) ) }.
% 0.94/1.53 { ! class_Fields_Ofield__inverse__zero( X ), c_Groups_Otimes__class_Otimes
% 0.94/1.53 ( X, c_Rings_Oinverse__class_Odivide( X, U, T ),
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( X, c_Groups_Otimes__class_Otimes( X, U,
% 0.94/1.53 Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.94/1.53 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), !
% 0.94/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ) =
% 0.94/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ), Z = Y }.
% 0.94/1.53 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! Z = Y,
% 0.94/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ) =
% 0.94/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) }.
% 0.94/1.53 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), !
% 0.94/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ) =
% 0.94/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ), Z = Y }.
% 0.94/1.53 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! Z = Y,
% 0.94/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ) =
% 0.94/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.94/1.53 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.94/1.53 ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.94/1.53 c_Int_OBit1( X ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.94/1.53 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.94/1.53 ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.94/1.53 c_Int_OBit1( X ) ) }.
% 0.94/1.53 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, c_Int_OPls )
% 0.94/1.53 }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.94/1.53 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.94/1.53 ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.94/1.53 c_Int_OBit0( X ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.94/1.53 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.94/1.53 ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.94/1.53 c_Int_OBit0( X ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), ! Y = X }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), Y = X,
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, Y ),
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, X ) ) }.
% 0.94/1.53 { c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ) = X }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) }.
% 0.94/1.53 { c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ),
% 0.94/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ) ) =
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X, Y ) }.
% 0.94/1.53 { c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Z, Y ), X ) =
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 0.94/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ) }.
% 0.94/1.53 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.94/1.53 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z )
% 0.94/1.53 , c_Groups_Otimes__class_Otimes( X, Y, Y ) ) =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ) }
% 0.94/1.53 .
% 0.94/1.53 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.94/1.53 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z )
% 0.94/1.53 , c_Groups_Otimes__class_Otimes( X, Y, Y ) ) =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.94/1.53 .
% 0.94/1.53 { ! class_Rings_Olinordered__ring__strict( X ), ! Z =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X )
% 0.94/1.53 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z
% 0.94/1.53 ), c_Groups_Otimes__class_Otimes( X, Y, Y ) ) =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.53 { ! class_Int_Onumber( X ), ! class_Rings_Osemiring( X ),
% 0.94/1.53 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.94/1.53 ), c_Groups_Oplus__class_Oplus( X, Z, Y ) ) =
% 0.94/1.53 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( X, T ), Z ),
% 0.94/1.53 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.94/1.53 ), Y ) ) }.
% 0.94/1.53 { ! class_Int_Onumber( X ), ! class_Rings_Osemiring( X ),
% 0.94/1.53 c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.94/1.53 , c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.94/1.53 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, T,
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( X, Y ) ), c_Groups_Otimes__class_Otimes
% 0.94/1.53 ( X, Z, c_Int_Onumber__class_Onumber__of( X, Y ) ) ) }.
% 0.94/1.53 { ! class_Rings_Oring( X ), c_Groups_Ominus__class_Ominus( X,
% 0.94/1.53 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.94/1.53 X, Z, Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.94/1.53 c_Groups_Otimes__class_Otimes( X, U, c_Groups_Ominus__class_Ominus( X, T
% 0.94/1.53 , Y ) ), c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus
% 0.94/1.53 ( X, U, Z ), Y ) ) }.
% 0.94/1.53 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.94/1.53 c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X, U, T
% 0.94/1.53 ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.94/1.53 c_Groups_Oplus__class_Oplus( X, c_Groups_Oplus__class_Oplus( X,
% 0.94/1.53 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, U, Z
% 0.94/1.53 ), c_Groups_Ominus__class_Ominus( X, T, Y ) ),
% 0.94/1.53 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, U, Z
% 0.94/1.53 ), Y ) ), c_Groups_Otimes__class_Otimes( X, Z,
% 0.94/1.53 c_Groups_Ominus__class_Ominus( X, T, Y ) ) ) }.
% 0.94/1.53 { ! class_Int_Onumber( X ), ! class_Rings_Oring( X ),
% 0.94/1.53 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.94/1.53 ), c_Groups_Ominus__class_Ominus( X, Z, Y ) ) =
% 0.94/1.53 c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X,
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( X, T ), Z ),
% 0.94/1.53 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.94/1.53 ), Y ) ) }.
% 0.94/1.53 { ! class_Int_Onumber( X ), ! class_Rings_Oring( X ),
% 0.94/1.53 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, T, Z
% 0.94/1.53 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.94/1.53 c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X, T,
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( X, Y ) ), c_Groups_Otimes__class_Otimes
% 0.94/1.53 ( X, Z, c_Int_Onumber__class_Onumber__of( X, Y ) ) ) }.
% 0.94/1.53 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ), ! c_Rings_Oinverse__class_Odivide( X, U
% 0.94/1.53 , Y ) = c_Rings_Oinverse__class_Odivide( X, T, Z ),
% 0.94/1.53 c_Groups_Otimes__class_Otimes( X, U, Z ) = c_Groups_Otimes__class_Otimes
% 0.94/1.53 ( X, T, Y ) }.
% 0.94/1.53 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ), ! c_Groups_Otimes__class_Otimes( X, U,
% 0.94/1.53 Z ) = c_Groups_Otimes__class_Otimes( X, T, Y ),
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( X, U, Y ) =
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( X, T, Z ) }.
% 0.94/1.53 { ! class_Fields_Ofield__inverse__zero( X ), Y =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.94/1.53 c_Groups_Otimes__class_Otimes( X, Y, T ), c_Groups_Otimes__class_Otimes(
% 0.94/1.53 X, Y, Z ) ) = c_Rings_Oinverse__class_Odivide( X, T, Z ) }.
% 0.94/1.53 { ! class_Fields_Ofield__inverse__zero( X ), Y =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.94/1.53 c_Groups_Otimes__class_Otimes( X, T, Y ), c_Groups_Otimes__class_Otimes(
% 0.94/1.53 X, Z, Y ) ) = c_Rings_Oinverse__class_Odivide( X, T, Z ) }.
% 0.94/1.53 { ! class_Fields_Ofield__inverse__zero( X ), !
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( X, T, Z ) = Y, alpha40( X, Y, Z, T ) }.
% 0.94/1.53 { ! class_Fields_Ofield__inverse__zero( X ), !
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( X, T, Z ) = Y, alpha8( X, Y, Z ) }.
% 0.94/1.53 { ! class_Fields_Ofield__inverse__zero( X ), ! alpha40( X, Y, Z, T ), !
% 0.94/1.53 alpha8( X, Y, Z ), c_Rings_Oinverse__class_Odivide( X, T, Z ) = Y }.
% 0.94/1.53 { ! alpha40( X, Y, Z, T ), Z = c_Groups_Ozero__class_Ozero( X ), T =
% 0.94/1.53 c_Groups_Otimes__class_Otimes( X, Y, Z ) }.
% 0.94/1.53 { ! Z = c_Groups_Ozero__class_Ozero( X ), alpha40( X, Y, Z, T ) }.
% 0.94/1.53 { ! T = c_Groups_Otimes__class_Otimes( X, Y, Z ), alpha40( X, Y, Z, T ) }.
% 0.94/1.53 { ! alpha8( X, Y, Z ), ! Z = c_Groups_Ozero__class_Ozero( X ), Y =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.53 { Z = c_Groups_Ozero__class_Ozero( X ), alpha8( X, Y, Z ) }.
% 0.94/1.53 { ! Y = c_Groups_Ozero__class_Ozero( X ), alpha8( X, Y, Z ) }.
% 0.94/1.53 { ! class_Fields_Ofield__inverse__zero( X ), ! T =
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( X, Z, Y ), alpha41( X, Y, Z, T ) }.
% 0.94/1.53 { ! class_Fields_Ofield__inverse__zero( X ), ! T =
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( X, Z, Y ), alpha9( X, Y, T ) }.
% 0.94/1.53 { ! class_Fields_Ofield__inverse__zero( X ), ! alpha41( X, Y, Z, T ), !
% 0.94/1.53 alpha9( X, Y, T ), T = c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.94/1.53 { ! alpha41( X, Y, Z, T ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.53 c_Groups_Otimes__class_Otimes( X, T, Y ) = Z }.
% 0.94/1.53 { ! Y = c_Groups_Ozero__class_Ozero( X ), alpha41( X, Y, Z, T ) }.
% 0.94/1.53 { ! c_Groups_Otimes__class_Otimes( X, T, Y ) = Z, alpha41( X, Y, Z, T ) }.
% 0.94/1.53 { ! alpha9( X, Y, Z ), ! Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.53 { Y = c_Groups_Ozero__class_Ozero( X ), alpha9( X, Y, Z ) }.
% 0.94/1.53 { ! Z = c_Groups_Ozero__class_Ozero( X ), alpha9( X, Y, Z ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Z, Y ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ),
% 0.94/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.94/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 0.94/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Z, Y ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Z, Y ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 0.94/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ) }.
% 0.94/1.53 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.94/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ), X =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.94/1.53 { ! X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.94/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, c_Int_OBit1
% 0.94/1.53 ( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X )
% 0.94/1.53 }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, c_Int_OBit1(
% 0.94/1.53 X ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.94/1.53 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.94/1.53 ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.94/1.53 c_Int_OBit1( X ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.94/1.53 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.94/1.53 ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.94/1.53 c_Int_OBit1( X ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, c_Int_OBit0
% 0.94/1.53 ( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X )
% 0.94/1.53 }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, c_Int_OBit0(
% 0.94/1.53 X ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( X ),
% 0.94/1.53 c_Int_OPls ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X,
% 0.94/1.53 c_Int_OPls ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( X ),
% 0.94/1.53 c_Int_OPls ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.53 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.94/1.53 tc_Int_Oint ), X ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.94/1.53 ( tc_Int_Oint ), X ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.53 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ) }.
% 0.94/1.53 { ! c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ),
% 0.94/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.94/1.53 { ! c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ),
% 0.94/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.94/1.53 { ! Y = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! X =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ),
% 0.94/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.94/1.53 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ) ),
% 0.94/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, T, Z ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.94/1.53 tc_Int_Oint, Y, T ), c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, Z ) ) }
% 0.94/1.53 .
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.94/1.53 tc_Int_Oint ) ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X )
% 0.94/1.53 }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.94/1.53 tc_Int_Oint ) ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, c_Groups_Oone__class_Oone(
% 0.94/1.53 tc_Int_Oint ) ), X ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X )
% 0.94/1.53 }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, c_Groups_Oone__class_Oone(
% 0.94/1.53 tc_Int_Oint ) ), X ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, c_Groups_Oone__class_Oone(
% 0.94/1.53 tc_Int_Oint ) ), X ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y,
% 0.94/1.53 c_Groups_Ominus__class_Ominus( tc_Int_Oint, X, c_Groups_Oone__class_Oone
% 0.94/1.53 ( tc_Int_Oint ) ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.94/1.53 .
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y,
% 0.94/1.53 c_Groups_Ominus__class_Ominus( tc_Int_Oint, X, c_Groups_Oone__class_Oone
% 0.94/1.53 ( tc_Int_Oint ) ) ) }.
% 0.94/1.53 { c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, hAPP( Z, Y ),
% 0.94/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, hAPP( Z, X ), hAPP( Z, Y
% 0.94/1.53 ) ), c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X, Y ) ), Y ) ) =
% 0.94/1.53 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, hAPP( Z, X ),
% 0.94/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, hAPP( Z, X ), hAPP( Z, Y
% 0.94/1.53 ) ), c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X, Y ) ), X ) ) }
% 0.94/1.53 .
% 0.94/1.53 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 0.94/1.53 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 0.94/1.53 X, Y, Y ) ), c_Groups_Ozero__class_Ozero( X ) ), Z =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.53 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 0.94/1.53 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 0.94/1.53 X, Y, Y ) ), c_Groups_Ozero__class_Ozero( X ) ), Y =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.53 { ! class_Rings_Olinordered__ring__strict( X ), ! Z =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X )
% 0.94/1.53 , c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 0.94/1.53 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 0.94/1.53 X, Y, Y ) ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.53 { ! class_Rings_Olinordered__ring( X ), c_Orderings_Oord__class_Oless__eq(
% 0.94/1.53 X, c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.53 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 0.94/1.53 X, Y, Y ) ) ) }.
% 0.94/1.53 { ! class_Rings_Olinordered__ring( X ), ! c_Orderings_Oord__class_Oless( X
% 0.94/1.53 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z
% 0.94/1.53 ), c_Groups_Otimes__class_Otimes( X, Y, Y ) ),
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.53 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.53 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z )
% 0.94/1.53 , c_Groups_Otimes__class_Otimes( X, Y, Y ) ) ), ! Z =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X )
% 0.94/1.53 }.
% 0.94/1.53 { ! class_Rings_Olinordered__ring__strict( X ), Z =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.53 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 0.94/1.53 X, Y, Y ) ) ) }.
% 0.94/1.53 { ! class_Rings_Olinordered__ring__strict( X ), Y =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.53 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 0.94/1.53 X, Y, Y ) ) ) }.
% 0.94/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.94/1.53 Z, Y ) ), alpha42( X, Y, Z, T ) }.
% 0.94/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.94/1.53 Z, Y ) ), alpha66( X, Y, Z, T ) }.
% 0.94/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha42( X, Y, Z
% 0.94/1.53 , T ), ! alpha66( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, T,
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.94/1.53 { ! alpha66( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ), Y ), alpha78( X, Y, Z, T ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.94/1.53 , alpha66( X, Y, Z, T ) }.
% 0.94/1.53 { ! alpha78( X, Y, Z, T ), alpha66( X, Y, Z, T ) }.
% 0.94/1.53 { ! alpha78( X, Y, Z, T ), alpha90( X, Y, Z, T ) }.
% 0.94/1.53 { ! alpha78( X, Y, Z, T ), alpha10( X, Y, T ) }.
% 0.94/1.53 { ! alpha90( X, Y, Z, T ), ! alpha10( X, Y, T ), alpha78( X, Y, Z, T ) }.
% 0.94/1.53 { ! alpha90( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, Z,
% 0.94/1.53 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.94/1.53 { c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.94/1.53 alpha90( X, Y, Z, T ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Otimes__class_Otimes( X,
% 0.94/1.53 T, Y ) ), alpha90( X, Y, Z, T ) }.
% 0.94/1.53 { ! alpha42( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.53 c_Groups_Otimes__class_Otimes( X, T, Y ), Z ) }.
% 0.94/1.53 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.94/1.53 alpha42( X, Y, Z, T ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T,
% 0.94/1.53 Y ), Z ), alpha42( X, Y, Z, T ) }.
% 0.94/1.53 { ! alpha10( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, Z,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 0.94/1.53 , alpha10( X, Y, Z ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.94/1.53 , alpha10( X, Y, Z ) }.
% 0.94/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.94/1.53 Z ), Y ), alpha43( X, Y, Z, T ) }.
% 0.94/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.94/1.53 Z ), Y ), alpha67( X, Y, Z, T ) }.
% 0.94/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha43( X, Y, Z
% 0.94/1.53 , T ), ! alpha67( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( X, T, Z ), Y ) }.
% 0.94/1.53 { ! alpha67( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ), Z ), alpha79( X, Y, Z, T ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.94/1.53 , alpha67( X, Y, Z, T ) }.
% 0.94/1.53 { ! alpha79( X, Y, Z, T ), alpha67( X, Y, Z, T ) }.
% 0.94/1.53 { ! alpha79( X, Y, Z, T ), alpha91( X, Y, Z, T ) }.
% 0.94/1.53 { ! alpha79( X, Y, Z, T ), alpha11( X, Y, Z ) }.
% 0.94/1.53 { ! alpha91( X, Y, Z, T ), ! alpha11( X, Y, Z ), alpha79( X, Y, Z, T ) }.
% 0.94/1.53 { ! alpha91( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.53 c_Groups_Otimes__class_Otimes( X, Y, Z ), T ) }.
% 0.94/1.53 { c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ),
% 0.94/1.53 alpha91( X, Y, Z, T ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.94/1.53 Z ), T ), alpha91( X, Y, Z, T ) }.
% 0.94/1.53 { ! alpha43( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.53 T, c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.94/1.53 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.94/1.53 alpha43( X, Y, Z, T ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( X, T, c_Groups_Otimes__class_Otimes( X,
% 0.94/1.53 Y, Z ) ), alpha43( X, Y, Z, T ) }.
% 0.94/1.53 { ! alpha11( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.94/1.53 , alpha11( X, Y, Z ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.94/1.53 , alpha11( X, Y, Z ) }.
% 0.94/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.53 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.94/1.53 ( X, T, c_Rings_Oinverse__class_Odivide( X, Z, Y ) ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Y
% 0.94/1.53 ), Z ) }.
% 0.94/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.53 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.94/1.53 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ), Z ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.94/1.53 Z, Y ) ) }.
% 0.94/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.53 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.94/1.53 ( X, c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, T, c_Groups_Otimes__class_Otimes( X, Z
% 0.94/1.53 , Y ) ) }.
% 0.94/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.53 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.94/1.53 ( X, T, c_Groups_Otimes__class_Otimes( X, Z, Y ) ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.94/1.53 Y ), Z ) }.
% 0.94/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.53 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.94/1.53 ( X, T, c_Groups_Otimes__class_Otimes( X, Z, Y ) ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.94/1.53 Y ), Z ) }.
% 0.94/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.53 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.94/1.53 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ), Z ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.94/1.53 Z, Y ) ) }.
% 0.94/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.53 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.94/1.53 ( X, T, c_Rings_Oinverse__class_Odivide( X, Z, Y ) ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, Z, c_Groups_Otimes__class_Otimes( X, T
% 0.94/1.53 , Y ) ) }.
% 0.94/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.53 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.94/1.53 ( X, Z, c_Groups_Otimes__class_Otimes( X, T, Y ) ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.94/1.53 Z, Y ) ) }.
% 0.94/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.53 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.94/1.53 ( X, c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.94/1.53 ), T ) }.
% 0.94/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.53 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.94/1.53 ( X, c_Groups_Otimes__class_Otimes( X, Z, Y ), T ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.94/1.53 Y ), Z ) }.
% 0.94/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.53 X, Z, Y ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ), T ), ! c_Orderings_Oord__class_Oless( X
% 0.94/1.53 , c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Y,
% 0.94/1.53 Z ) ), c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide
% 0.94/1.53 ( X, T, Y ), c_Rings_Oinverse__class_Odivide( X, T, Z ) ) }.
% 0.94/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.53 X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, T,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.94/1.53 ) ), c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide(
% 0.94/1.53 X, T, Z ), c_Rings_Oinverse__class_Odivide( X, T, Y ) ) }.
% 0.94/1.53 { ! class_Rings_Oring__1( X ), c_Groups_Ominus__class_Ominus( X,
% 0.94/1.53 c_Groups_Otimes__class_Otimes( X, Y, Y ), c_Groups_Oone__class_Oone( X )
% 0.94/1.53 ) = c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, Y
% 0.94/1.53 , c_Groups_Oone__class_Oone( X ) ), c_Groups_Ominus__class_Ominus( X, Y,
% 0.94/1.53 c_Groups_Oone__class_Oone( X ) ) ) }.
% 0.94/1.53 { ! class_Fields_Ofield__inverse__zero( X ), Y =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, T,
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.94/1.53 c_Groups_Otimes__class_Otimes( X, T, Y ) ), Y ) }.
% 0.94/1.53 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.53 c_Groups_Oplus__class_Oplus( X, T, c_Rings_Oinverse__class_Odivide( X, Z
% 0.94/1.53 , Y ) ) = c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus
% 0.94/1.53 ( X, c_Groups_Otimes__class_Otimes( X, Y, T ), Z ), Y ) }.
% 0.94/1.53 { ! class_Fields_Ofield__inverse__zero( X ), Y =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ) =
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.94/1.53 c_Groups_Otimes__class_Otimes( X, Z, Y ) ), Y ) }.
% 0.94/1.53 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.53 c_Groups_Oplus__class_Oplus( X, c_Rings_Oinverse__class_Odivide( X, T, Y
% 0.94/1.53 ), Z ) = c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus
% 0.94/1.53 ( X, T, c_Groups_Otimes__class_Otimes( X, Y, Z ) ), Y ) }.
% 0.94/1.53 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( X, U, Y ),
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( X, T, Z ) ) =
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X,
% 0.94/1.53 c_Groups_Otimes__class_Otimes( X, U, Z ), c_Groups_Otimes__class_Otimes(
% 0.94/1.53 X, T, Y ) ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.94/1.53 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), ! T
% 0.94/1.53 = c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of
% 0.94/1.53 ( X, Y ) ), alpha44( X, Y, Z, T ) }.
% 0.94/1.53 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), ! T
% 0.94/1.53 = c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of
% 0.94/1.53 ( X, Y ) ), alpha12( X, Y, T ) }.
% 0.94/1.53 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.94/1.53 alpha44( X, Y, Z, T ), ! alpha12( X, Y, T ), T =
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.94/1.53 X, Y ) ) }.
% 0.94/1.53 { ! alpha44( X, Y, Z, T ), c_Int_Onumber__class_Onumber__of( X, Y ) =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, T,
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( X, Y ) ) = Z }.
% 0.94/1.53 { ! c_Int_Onumber__class_Onumber__of( X, Y ) = c_Groups_Ozero__class_Ozero
% 0.94/1.53 ( X ), alpha44( X, Y, Z, T ) }.
% 0.94/1.53 { ! c_Groups_Otimes__class_Otimes( X, T, c_Int_Onumber__class_Onumber__of(
% 0.94/1.53 X, Y ) ) = Z, alpha44( X, Y, Z, T ) }.
% 0.94/1.53 { ! alpha12( X, Y, Z ), ! c_Int_Onumber__class_Onumber__of( X, Y ) =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ) }
% 0.94/1.53 .
% 0.94/1.53 { c_Int_Onumber__class_Onumber__of( X, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.94/1.53 ), alpha12( X, Y, Z ) }.
% 0.94/1.53 { ! Z = c_Groups_Ozero__class_Ozero( X ), alpha12( X, Y, Z ) }.
% 0.94/1.53 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( X, T ) =
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( X, Z, Y ), alpha45( X, Y, Z, T ) }.
% 0.94/1.53 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( X, T ) =
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( X, Z, Y ), alpha13( X, Y, T ) }.
% 0.94/1.53 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.94/1.53 alpha45( X, Y, Z, T ), ! alpha13( X, Y, T ),
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( X, T ) =
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.94/1.53 { ! alpha45( X, Y, Z, T ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.53 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.94/1.53 ), Y ) = Z }.
% 0.94/1.53 { ! Y = c_Groups_Ozero__class_Ozero( X ), alpha45( X, Y, Z, T ) }.
% 0.94/1.53 { ! c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X,
% 0.94/1.53 T ), Y ) = Z, alpha45( X, Y, Z, T ) }.
% 0.94/1.53 { ! alpha13( X, Y, Z ), ! Y = c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( X, Z ) = c_Groups_Ozero__class_Ozero( X
% 0.94/1.53 ) }.
% 0.94/1.53 { Y = c_Groups_Ozero__class_Ozero( X ), alpha13( X, Y, Z ) }.
% 0.94/1.53 { ! c_Int_Onumber__class_Onumber__of( X, Z ) = c_Groups_Ozero__class_Ozero
% 0.94/1.53 ( X ), alpha13( X, Y, Z ) }.
% 0.94/1.53 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( X, T, Z ) =
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( X, Y ), alpha46( X, Y, Z, T ) }.
% 0.94/1.53 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( X, T, Z ) =
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( X, Y ), alpha14( X, Y, Z ) }.
% 0.94/1.53 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.94/1.53 alpha46( X, Y, Z, T ), ! alpha14( X, Y, Z ),
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( X, T, Z ) =
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( X, Y ) }.
% 0.94/1.53 { ! alpha46( X, Y, Z, T ), Z = c_Groups_Ozero__class_Ozero( X ), T =
% 0.94/1.53 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.94/1.53 ), Z ) }.
% 0.94/1.53 { ! Z = c_Groups_Ozero__class_Ozero( X ), alpha46( X, Y, Z, T ) }.
% 0.94/1.53 { ! T = c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of
% 0.94/1.53 ( X, Y ), Z ), alpha46( X, Y, Z, T ) }.
% 0.94/1.53 { ! alpha14( X, Y, Z ), ! Z = c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( X, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.94/1.53 ) }.
% 0.94/1.53 { Z = c_Groups_Ozero__class_Ozero( X ), alpha14( X, Y, Z ) }.
% 0.94/1.53 { ! c_Int_Onumber__class_Onumber__of( X, Y ) = c_Groups_Ozero__class_Ozero
% 0.94/1.53 ( X ), alpha14( X, Y, Z ) }.
% 0.94/1.53 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 0.94/1.53 X, Z ) ) = Y, alpha47( X, Y, Z, T ) }.
% 0.94/1.53 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 0.94/1.53 X, Z ) ) = Y, alpha15( X, Y, Z ) }.
% 0.94/1.53 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.94/1.53 alpha47( X, Y, Z, T ), ! alpha15( X, Y, Z ),
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 0.94/1.53 X, Z ) ) = Y }.
% 0.94/1.53 { ! alpha47( X, Y, Z, T ), c_Int_Onumber__class_Onumber__of( X, Z ) =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ), T = c_Groups_Otimes__class_Otimes( X, Y
% 0.94/1.53 , c_Int_Onumber__class_Onumber__of( X, Z ) ) }.
% 0.94/1.53 { ! c_Int_Onumber__class_Onumber__of( X, Z ) = c_Groups_Ozero__class_Ozero
% 0.94/1.53 ( X ), alpha47( X, Y, Z, T ) }.
% 0.94/1.53 { ! T = c_Groups_Otimes__class_Otimes( X, Y,
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( X, Z ) ), alpha47( X, Y, Z, T ) }.
% 0.94/1.53 { ! alpha15( X, Y, Z ), ! c_Int_Onumber__class_Onumber__of( X, Z ) =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.94/1.53 .
% 0.94/1.53 { c_Int_Onumber__class_Onumber__of( X, Z ) = c_Groups_Ozero__class_Ozero( X
% 0.94/1.53 ), alpha15( X, Y, Z ) }.
% 0.94/1.53 { ! Y = c_Groups_Ozero__class_Ozero( X ), alpha15( X, Y, Z ) }.
% 0.94/1.53 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.53 c_Groups_Ominus__class_Ominus( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.94/1.53 Z, Y ) ) = c_Rings_Oinverse__class_Odivide( X,
% 0.94/1.53 c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X, Y, T
% 0.94/1.53 ), Z ), Y ) }.
% 0.94/1.53 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.53 c_Groups_Ominus__class_Ominus( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.94/1.53 Y ), Z ) = c_Rings_Oinverse__class_Odivide( X,
% 0.94/1.53 c_Groups_Ominus__class_Ominus( X, T, c_Groups_Otimes__class_Otimes( X, Y
% 0.94/1.53 , Z ) ), Y ) }.
% 0.94/1.53 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( X ), c_Groups_Ominus__class_Ominus( X,
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( X, U, Y ),
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( X, T, Z ) ) =
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X,
% 0.94/1.53 c_Groups_Otimes__class_Otimes( X, U, Z ), c_Groups_Otimes__class_Otimes(
% 0.94/1.53 X, T, Y ) ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.94/1.53 { ! class_RealVector_Oreal__field( X ), c_Rings_Oinverse__class_Odivide( X
% 0.94/1.53 , c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X, W,
% 0.94/1.53 U ), c_Groups_Otimes__class_Otimes( X, T, Z ) ), Y ) =
% 0.94/1.53 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W,
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X, U,
% 0.94/1.53 Z ), Y ) ), c_Groups_Otimes__class_Otimes( X,
% 0.94/1.53 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X, W,
% 0.94/1.53 T ), Y ), Z ) ) }.
% 0.94/1.53 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X, Y,
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit1( c_Int_OPls ) ) ) = Y }
% 0.94/1.53 .
% 0.94/1.53 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit1( c_Int_OPls ) ), Y ) = Y
% 0.94/1.53 }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ),
% 0.94/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z, Y ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z, Y ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ),
% 0.94/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 0.94/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z, Y ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z, Y ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 0.94/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ) }.
% 0.94/1.53 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.94/1.53 c_Groups_Ouminus__class_Ouminus( X, c_Int_Onumber__class_Onumber__of( X,
% 0.94/1.53 Z ) ), Y ) = c_Groups_Otimes__class_Otimes( X,
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( X, c_Groups_Ouminus__class_Ouminus(
% 0.94/1.53 tc_Int_Oint, Z ) ), Y ) }.
% 0.94/1.53 { ! c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) =
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ),
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) =
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) }.
% 0.94/1.53 { ! c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ),
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, c_Int_OBit1( X
% 0.94/1.53 ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, c_Int_OBit1( X )
% 0.94/1.53 ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( X ),
% 0.94/1.53 c_Int_OPls ), c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls )
% 0.94/1.53 }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( X ),
% 0.94/1.53 c_Int_OPls ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.94/1.53 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.94/1.53 ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit1
% 0.94/1.53 ( X ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.94/1.53 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.94/1.53 ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit1
% 0.94/1.53 ( X ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.94/1.53 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.94/1.53 .
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.94/1.53 c_Int_OBit0( X ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.94/1.53 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.94/1.53 .
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.94/1.53 c_Int_OBit0( X ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OPls ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OPls ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.94/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.94/1.53 tc_Int_Oint ), c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.94/1.53 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.53 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Y ),
% 0.94/1.53 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X,
% 0.94/1.53 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Z ) ) ), Y =
% 0.94/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.94/1.53 { ! X = c_Nat_OSuc( X ) }.
% 0.94/1.53 { ! c_Nat_OSuc( X ) = X }.
% 0.94/1.53 { ! c_Nat_OSuc( Y ) = c_Nat_OSuc( X ), Y = X }.
% 0.94/1.53 { ! Y = X, c_Nat_OSuc( Y ) = c_Nat_OSuc( X ) }.
% 0.94/1.53 { ! c_Nat_OSuc( Y ) = c_Nat_OSuc( X ), Y = X }.
% 0.94/1.53 { alpha102( X, Y, Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, Z ),
% 0.94/1.53 hBOOL( hAPP( hAPP( X, Y ), Z ) ) }.
% 0.94/1.53 { alpha102( X, Y, Z ), ! hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP(
% 0.94/1.53 hAPP( X, Y ), Z ) ) }.
% 0.94/1.53 { ! alpha102( X, Y, Z ), alpha104( X, Y, Z ), Z = Y }.
% 0.94/1.53 { ! alpha102( X, Y, Z ), alpha104( X, Y, Z ), ! hBOOL( hAPP( hAPP( X, Y ),
% 0.94/1.53 Z ) ) }.
% 0.94/1.53 { ! alpha104( X, Y, Z ), alpha102( X, Y, Z ) }.
% 0.94/1.53 { ! Z = Y, hBOOL( hAPP( hAPP( X, Y ), Z ) ), alpha102( X, Y, Z ) }.
% 0.94/1.53 { ! alpha104( X, Y, Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y )
% 0.94/1.53 }.
% 0.94/1.53 { ! alpha104( X, Y, Z ), ! hBOOL( hAPP( hAPP( X, Y ), Z ) ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y ), hBOOL( hAPP( hAPP(
% 0.94/1.53 X, Y ), Z ) ), alpha104( X, Y, Z ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! Y = X }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! X = Y }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, X ) }.
% 0.94/1.53 { Y = X, c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ) }.
% 0.94/1.53 { Y = X, c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! Y = X }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ), ! Y = X }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, X ) }.
% 0.94/1.53 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) }.
% 0.94/1.53 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, c_Groups_Oplus__class_Oplus
% 0.94/1.53 ( tc_Nat_Onat, Y, X ) ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y,
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.94/1.53 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.94/1.53 tc_Nat_Onat, Z, Y ), X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z,
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.94/1.53 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) =
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ), Y = X }.
% 0.94/1.53 { ! Y = X, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) =
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) }.
% 0.94/1.53 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) =
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ), Z = X }.
% 0.94/1.53 { ! Z = X, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) =
% 0.94/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Y ), Y = X }.
% 0.94/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Z ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ) }.
% 0.94/1.53 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.94/1.53 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Y ) }.
% 0.94/1.53 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, X ) }.
% 0.94/1.53 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.94/1.53 ( tc_Nat_Onat, Z, Y ), X ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.94/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, X ), Y ) }.
% 0.94/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.53 c_Orderings_Oord__class_Oless__eq( X, T, c_Rings_Oinverse__class_Odivide
% 0.94/1.54 ( X, Z, Y ) ), alpha48( X, Y, Z, T ) }.
% 0.94/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, T, c_Rings_Oinverse__class_Odivide
% 0.94/1.54 ( X, Z, Y ) ), alpha68( X, Y, Z, T ) }.
% 0.94/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha48( X, Y, Z
% 0.94/1.54 , T ), ! alpha68( X, Y, Z, T ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.94/1.54 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.94/1.54 { ! alpha68( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ), Y ), alpha80( X, Y, Z, T ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.94/1.54 , alpha68( X, Y, Z, T ) }.
% 0.94/1.54 { ! alpha80( X, Y, Z, T ), alpha68( X, Y, Z, T ) }.
% 0.94/1.54 { ! alpha80( X, Y, Z, T ), alpha92( X, Y, Z, T ) }.
% 0.94/1.54 { ! alpha80( X, Y, Z, T ), alpha16( X, Y, T ) }.
% 0.94/1.54 { ! alpha92( X, Y, Z, T ), ! alpha16( X, Y, T ), alpha80( X, Y, Z, T ) }.
% 0.94/1.54 { ! alpha92( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.54 , Z, c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.94/1.54 alpha92( X, Y, Z, T ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Otimes__class_Otimes
% 0.94/1.54 ( X, T, Y ) ), alpha92( X, Y, Z, T ) }.
% 0.94/1.54 { ! alpha48( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless__eq
% 0.94/1.54 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ), Z ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.94/1.54 alpha48( X, Y, Z, T ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.94/1.54 , T, Y ), Z ), alpha48( X, Y, Z, T ) }.
% 0.94/1.54 { ! alpha16( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.54 , Z, c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 0.94/1.54 , alpha16( X, Y, Z ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.94/1.54 ) ), alpha16( X, Y, Z ) }.
% 0.94/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.94/1.54 , T, Z ), Y ), alpha49( X, Y, Z, T ) }.
% 0.94/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.94/1.54 , T, Z ), Y ), alpha69( X, Y, Z, T ) }.
% 0.94/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha49( X, Y, Z
% 0.94/1.54 , T ), ! alpha69( X, Y, Z, T ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.54 c_Rings_Oinverse__class_Odivide( X, T, Z ), Y ) }.
% 0.94/1.54 { ! alpha69( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ), Z ), alpha81( X, Y, Z, T ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.94/1.54 , alpha69( X, Y, Z, T ) }.
% 0.94/1.54 { ! alpha81( X, Y, Z, T ), alpha69( X, Y, Z, T ) }.
% 0.94/1.54 { ! alpha81( X, Y, Z, T ), alpha93( X, Y, Z, T ) }.
% 0.94/1.54 { ! alpha81( X, Y, Z, T ), alpha17( X, Y, Z ) }.
% 0.94/1.54 { ! alpha93( X, Y, Z, T ), ! alpha17( X, Y, Z ), alpha81( X, Y, Z, T ) }.
% 0.94/1.54 { ! alpha93( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.54 , c_Groups_Otimes__class_Otimes( X, Y, Z ), T ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ),
% 0.94/1.54 alpha93( X, Y, Z, T ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.94/1.54 , Y, Z ), T ), alpha93( X, Y, Z, T ) }.
% 0.94/1.54 { ! alpha49( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless__eq
% 0.94/1.54 ( X, T, c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.94/1.54 alpha49( X, Y, Z, T ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Otimes__class_Otimes
% 0.94/1.54 ( X, Y, Z ) ), alpha49( X, Y, Z, T ) }.
% 0.94/1.54 { ! alpha17( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.54 , c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.94/1.54 , alpha17( X, Y, Z ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.54 , Y ), alpha17( X, Y, Z ) }.
% 0.94/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.54 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, T, c_Rings_Oinverse__class_Odivide
% 0.94/1.54 ( X, Z, Y ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, T, Y ), Z ) }.
% 0.94/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.54 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, T
% 0.94/1.54 , Y ), Z ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.94/1.54 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.94/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.54 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.94/1.54 , T, Y ), Z ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.94/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.54 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Otimes__class_Otimes( X
% 0.94/1.54 , Z, Y ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.54 c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ) }.
% 0.94/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.54 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Otimes__class_Otimes( X
% 0.94/1.54 , Z, Y ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.54 c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ) }.
% 0.94/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.54 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, T
% 0.94/1.54 , Y ), Z ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.94/1.54 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.94/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.54 X, Y, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, T, c_Rings_Oinverse__class_Odivide
% 0.94/1.54 ( X, Z, Y ) ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.94/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.54 X, Y, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Otimes__class_Otimes( X
% 0.94/1.54 , T, Y ) ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.94/1.54 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.94/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.54 X, Y, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.94/1.54 , T, Y ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, Z, Y ), T ) }.
% 0.94/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.94/1.54 X, Y, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.94/1.54 , Y ), T ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.54 c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ) }.
% 0.94/1.54 { ! class_Fields_Olinordered__field( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.94/1.54 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.54 , c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.94/1.54 , T, Y ), c_Rings_Oinverse__class_Odivide( X, T, Z ) ) }.
% 0.94/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.54 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.54 , c_Groups_Otimes__class_Otimes( X, Z, Y ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.94/1.54 , T, Z ), c_Rings_Oinverse__class_Odivide( X, T, Y ) ) }.
% 0.94/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.54 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X, T,
% 0.94/1.54 c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.94/1.54 X, Y ) ) ), alpha50( X, Y, Z, T ) }.
% 0.94/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.54 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X, T,
% 0.94/1.54 c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.94/1.54 X, Y ) ) ), alpha70( X, Y, Z, T ) }.
% 0.94/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.54 class_Int_Onumber( X ), ! alpha50( X, Y, Z, T ), ! alpha70( X, Y, Z, T )
% 0.94/1.54 , c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X
% 0.94/1.54 , Z, c_Int_Onumber__class_Onumber__of( X, Y ) ) ) }.
% 0.94/1.54 { ! alpha70( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 0.94/1.54 ) ), alpha82( X, Y, Z, T ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha70( X, Y, Z, T ) }.
% 0.94/1.54 { ! alpha82( X, Y, Z, T ), alpha70( X, Y, Z, T ) }.
% 0.94/1.54 { ! alpha82( X, Y, Z, T ), alpha94( X, Y, Z, T ) }.
% 0.94/1.54 { ! alpha82( X, Y, Z, T ), alpha18( X, Y, T ) }.
% 0.94/1.54 { ! alpha94( X, Y, Z, T ), ! alpha18( X, Y, T ), alpha82( X, Y, Z, T ) }.
% 0.94/1.54 { ! alpha94( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Ozero__class_Ozero( X
% 0.94/1.54 ) ), c_Orderings_Oord__class_Oless( X, Z, c_Groups_Otimes__class_Otimes
% 0.94/1.54 ( X, T, c_Int_Onumber__class_Onumber__of( X, Y ) ) ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.94/1.54 ), c_Groups_Ozero__class_Ozero( X ) ), alpha94( X, Y, Z, T ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Otimes__class_Otimes( X,
% 0.94/1.54 T, c_Int_Onumber__class_Onumber__of( X, Y ) ) ), alpha94( X, Y, Z, T ) }
% 0.94/1.54 .
% 0.94/1.54 { ! alpha50( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 0.94/1.54 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X
% 0.94/1.54 , T, c_Int_Onumber__class_Onumber__of( X, Y ) ), Z ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha50( X, Y, Z, T ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T,
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( X, Y ) ), Z ), alpha50( X, Y, Z, T ) }
% 0.94/1.54 .
% 0.94/1.54 { ! alpha18( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Ozero__class_Ozero( X
% 0.94/1.54 ) ), c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.94/1.54 ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X,
% 0.94/1.54 Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha18( X, Y, Z ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.94/1.54 , alpha18( X, Y, Z ) }.
% 0.94/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.54 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( X, T ), c_Rings_Oinverse__class_Odivide
% 0.94/1.54 ( X, Z, Y ) ), alpha51( X, Y, Z, T ) }.
% 0.94/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.54 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( X, T ), c_Rings_Oinverse__class_Odivide
% 0.94/1.54 ( X, Z, Y ) ), alpha71( X, Y, Z, T ) }.
% 0.94/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.54 class_Int_Onumber( X ), ! alpha51( X, Y, Z, T ), ! alpha71( X, Y, Z, T )
% 0.94/1.54 , c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X,
% 0.94/1.54 T ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.94/1.54 { ! alpha71( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ), Y ), alpha83( X, Y, Z, T ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.94/1.54 , alpha71( X, Y, Z, T ) }.
% 0.94/1.54 { ! alpha83( X, Y, Z, T ), alpha71( X, Y, Z, T ) }.
% 0.94/1.54 { ! alpha83( X, Y, Z, T ), alpha95( X, Y, Z, T ) }.
% 0.94/1.54 { ! alpha83( X, Y, Z, T ), alpha19( X, Y, T ) }.
% 0.94/1.54 { ! alpha95( X, Y, Z, T ), ! alpha19( X, Y, T ), alpha83( X, Y, Z, T ) }.
% 0.94/1.54 { ! alpha95( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, Z,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.94/1.54 ), Y ) ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.94/1.54 alpha95( X, Y, Z, T ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Otimes__class_Otimes( X,
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( X, T ), Y ) ), alpha95( X, Y, Z, T ) }
% 0.94/1.54 .
% 0.94/1.54 { ! alpha51( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.94/1.54 ), Y ), Z ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.94/1.54 alpha51( X, Y, Z, T ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X,
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( X, T ), Y ), Z ), alpha51( X, Y, Z, T )
% 0.94/1.54 }.
% 0.94/1.54 { ! alpha19( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero( X
% 0.94/1.54 ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 0.94/1.54 , alpha19( X, Y, Z ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X,
% 0.94/1.54 Z ), c_Groups_Ozero__class_Ozero( X ) ), alpha19( X, Y, Z ) }.
% 0.94/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.54 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.54 c_Rings_Oinverse__class_Odivide( X, T, Z ),
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha52( X, Y, Z, T ) }.
% 0.94/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.54 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.54 c_Rings_Oinverse__class_Odivide( X, T, Z ),
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha72( X, Y, Z, T ) }.
% 0.94/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.54 class_Int_Onumber( X ), ! alpha52( X, Y, Z, T ), ! alpha72( X, Y, Z, T )
% 0.94/1.54 , c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T
% 0.94/1.54 , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.94/1.54 { ! alpha72( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ), Z ), alpha84( X, Y, Z, T ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.94/1.54 , alpha72( X, Y, Z, T ) }.
% 0.94/1.54 { ! alpha84( X, Y, Z, T ), alpha72( X, Y, Z, T ) }.
% 0.94/1.54 { ! alpha84( X, Y, Z, T ), alpha96( X, Y, Z, T ) }.
% 0.94/1.54 { ! alpha84( X, Y, Z, T ), alpha20( X, Y, Z ) }.
% 0.94/1.54 { ! alpha96( X, Y, Z, T ), ! alpha20( X, Y, Z ), alpha84( X, Y, Z, T ) }.
% 0.94/1.54 { ! alpha96( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.94/1.54 ), Z ), T ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ),
% 0.94/1.54 alpha96( X, Y, Z, T ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X,
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( X, Y ), Z ), T ), alpha96( X, Y, Z, T )
% 0.94/1.54 }.
% 0.94/1.54 { ! alpha52( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.54 T, c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X
% 0.94/1.54 , Y ), Z ) ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.94/1.54 alpha52( X, Y, Z, T ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( X, T, c_Groups_Otimes__class_Otimes( X,
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( X, Y ), Z ) ), alpha52( X, Y, Z, T ) }
% 0.94/1.54 .
% 0.94/1.54 { ! alpha20( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 0.94/1.54 ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.94/1.54 , alpha20( X, Y, Z ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha20( X, Y, Z ) }.
% 0.94/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.54 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.54 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 0.94/1.54 X, Z ) ), Y ), alpha53( X, Y, Z, T ) }.
% 0.94/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.54 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.54 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 0.94/1.54 X, Z ) ), Y ), alpha73( X, Y, Z, T ) }.
% 0.94/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.54 class_Int_Onumber( X ), ! alpha53( X, Y, Z, T ), ! alpha73( X, Y, Z, T )
% 0.94/1.54 , c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T
% 0.94/1.54 , c_Int_Onumber__class_Onumber__of( X, Z ) ), Y ) }.
% 0.94/1.54 { ! alpha73( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Z
% 0.94/1.54 ) ), alpha85( X, Y, Z, T ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( X, Z ) ), alpha73( X, Y, Z, T ) }.
% 0.94/1.54 { ! alpha85( X, Y, Z, T ), alpha73( X, Y, Z, T ) }.
% 0.94/1.54 { ! alpha85( X, Y, Z, T ), alpha97( X, Y, Z, T ) }.
% 0.94/1.54 { ! alpha85( X, Y, Z, T ), alpha21( X, Y, Z ) }.
% 0.94/1.54 { ! alpha97( X, Y, Z, T ), ! alpha21( X, Y, Z ), alpha85( X, Y, Z, T ) }.
% 0.94/1.54 { ! alpha97( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero( X
% 0.94/1.54 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X
% 0.94/1.54 , Y, c_Int_Onumber__class_Onumber__of( X, Z ) ), T ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.94/1.54 ), c_Groups_Ozero__class_Ozero( X ) ), alpha97( X, Y, Z, T ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( X, Z ) ), T ), alpha97( X, Y, Z, T ) }
% 0.94/1.54 .
% 0.94/1.54 { ! alpha53( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Z
% 0.94/1.54 ) ), c_Orderings_Oord__class_Oless( X, T, c_Groups_Otimes__class_Otimes
% 0.94/1.54 ( X, Y, c_Int_Onumber__class_Onumber__of( X, Z ) ) ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( X, Z ) ), alpha53( X, Y, Z, T ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( X, T, c_Groups_Otimes__class_Otimes( X,
% 0.94/1.54 Y, c_Int_Onumber__class_Onumber__of( X, Z ) ) ), alpha53( X, Y, Z, T ) }
% 0.94/1.54 .
% 0.94/1.54 { ! alpha21( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero( X
% 0.94/1.54 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.54 , Y ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X,
% 0.94/1.54 Z ), c_Groups_Ozero__class_Ozero( X ) ), alpha21( X, Y, Z ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.94/1.54 , alpha21( X, Y, Z ) }.
% 0.94/1.54 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.94/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ),
% 0.94/1.54 c_Groups_Oone__class_Oone( X ) ), c_Int_Onumber__class_Onumber__of( X, Y
% 0.94/1.54 ) ) = c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( Y ) ) }.
% 0.94/1.54 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.54 c_RealVector_Onorm__class_Onorm( X, Z ), c_Groups_Otimes__class_Otimes(
% 0.94/1.54 tc_RealDef_Oreal, Y, c_RealVector_Onorm__class_Onorm( X, T ) ) ), Z =
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.54 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X, T,
% 0.94/1.54 c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.94/1.54 X, Y ) ) ), alpha54( X, Y, Z, T ) }.
% 0.94/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.54 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X, T,
% 0.94/1.54 c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.94/1.54 X, Y ) ) ), alpha74( X, Y, Z, T ) }.
% 0.94/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.54 class_Int_Onumber( X ), ! alpha54( X, Y, Z, T ), ! alpha74( X, Y, Z, T )
% 0.94/1.54 , c_Orderings_Oord__class_Oless__eq( X, T,
% 0.94/1.54 c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.94/1.54 X, Y ) ) ) }.
% 0.94/1.54 { ! alpha74( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 0.94/1.54 ) ), alpha86( X, Y, Z, T ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha74( X, Y, Z, T ) }.
% 0.94/1.54 { ! alpha86( X, Y, Z, T ), alpha74( X, Y, Z, T ) }.
% 0.94/1.54 { ! alpha86( X, Y, Z, T ), alpha98( X, Y, Z, T ) }.
% 0.94/1.54 { ! alpha86( X, Y, Z, T ), alpha22( X, Y, T ) }.
% 0.94/1.54 { ! alpha98( X, Y, Z, T ), ! alpha22( X, Y, T ), alpha86( X, Y, Z, T ) }.
% 0.94/1.54 { ! alpha98( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Ozero__class_Ozero( X
% 0.94/1.54 ) ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, T, c_Int_Onumber__class_Onumber__of( X
% 0.94/1.54 , Y ) ) ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.94/1.54 ), c_Groups_Ozero__class_Ozero( X ) ), alpha98( X, Y, Z, T ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Otimes__class_Otimes
% 0.94/1.54 ( X, T, c_Int_Onumber__class_Onumber__of( X, Y ) ) ), alpha98( X, Y, Z, T
% 0.94/1.54 ) }.
% 0.94/1.54 { ! alpha54( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 0.94/1.54 ) ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes
% 0.94/1.54 ( X, T, c_Int_Onumber__class_Onumber__of( X, Y ) ), Z ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha54( X, Y, Z, T ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.94/1.54 , T, c_Int_Onumber__class_Onumber__of( X, Y ) ), Z ), alpha54( X, Y, Z, T
% 0.94/1.54 ) }.
% 0.94/1.54 { ! alpha22( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Ozero__class_Ozero( X
% 0.94/1.54 ) ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X,
% 0.94/1.54 Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha22( X, Y, Z ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.94/1.54 ) ), alpha22( X, Y, Z ) }.
% 0.94/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.54 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( X, T ), c_Rings_Oinverse__class_Odivide
% 0.94/1.54 ( X, Z, Y ) ), alpha55( X, Y, Z, T ) }.
% 0.94/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.54 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( X, T ), c_Rings_Oinverse__class_Odivide
% 0.94/1.54 ( X, Z, Y ) ), alpha75( X, Y, Z, T ) }.
% 0.94/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.54 class_Int_Onumber( X ), ! alpha55( X, Y, Z, T ), ! alpha75( X, Y, Z, T )
% 0.94/1.54 , c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of
% 0.94/1.54 ( X, T ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.94/1.54 { ! alpha75( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ), Y ), alpha87( X, Y, Z, T ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.94/1.54 , alpha75( X, Y, Z, T ) }.
% 0.94/1.54 { ! alpha87( X, Y, Z, T ), alpha75( X, Y, Z, T ) }.
% 0.94/1.54 { ! alpha87( X, Y, Z, T ), alpha99( X, Y, Z, T ) }.
% 0.94/1.54 { ! alpha87( X, Y, Z, T ), alpha23( X, Y, T ) }.
% 0.94/1.54 { ! alpha99( X, Y, Z, T ), ! alpha23( X, Y, T ), alpha87( X, Y, Z, T ) }.
% 0.94/1.54 { ! alpha99( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.54 , Z, c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of(
% 0.94/1.54 X, T ), Y ) ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.94/1.54 alpha99( X, Y, Z, T ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Otimes__class_Otimes
% 0.94/1.54 ( X, c_Int_Onumber__class_Onumber__of( X, T ), Y ) ), alpha99( X, Y, Z, T
% 0.94/1.54 ) }.
% 0.94/1.54 { ! alpha55( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless__eq
% 0.94/1.54 ( X, c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of(
% 0.94/1.54 X, T ), Y ), Z ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.94/1.54 alpha55( X, Y, Z, T ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.94/1.54 , c_Int_Onumber__class_Onumber__of( X, T ), Y ), Z ), alpha55( X, Y, Z, T
% 0.94/1.54 ) }.
% 0.94/1.54 { ! alpha23( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.54 , c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero(
% 0.94/1.54 X ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 0.94/1.54 , alpha23( X, Y, Z ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of
% 0.94/1.54 ( X, Z ), c_Groups_Ozero__class_Ozero( X ) ), alpha23( X, Y, Z ) }.
% 0.94/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.54 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.54 c_Rings_Oinverse__class_Odivide( X, T, Z ),
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha56( X, Y, Z, T ) }.
% 0.94/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.54 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.54 c_Rings_Oinverse__class_Odivide( X, T, Z ),
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha76( X, Y, Z, T ) }.
% 0.94/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.54 class_Int_Onumber( X ), ! alpha56( X, Y, Z, T ), ! alpha76( X, Y, Z, T )
% 0.94/1.54 , c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide(
% 0.94/1.54 X, T, Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.94/1.54 { ! alpha76( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ), Z ), alpha88( X, Y, Z, T ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.94/1.54 , alpha76( X, Y, Z, T ) }.
% 0.94/1.54 { ! alpha88( X, Y, Z, T ), alpha76( X, Y, Z, T ) }.
% 0.94/1.54 { ! alpha88( X, Y, Z, T ), alpha100( X, Y, Z, T ) }.
% 0.94/1.54 { ! alpha88( X, Y, Z, T ), alpha24( X, Y, Z ) }.
% 0.94/1.54 { ! alpha100( X, Y, Z, T ), ! alpha24( X, Y, Z ), alpha88( X, Y, Z, T ) }.
% 0.94/1.54 { ! alpha100( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.54 , c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X,
% 0.94/1.54 Y ), Z ), T ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ),
% 0.94/1.54 alpha100( X, Y, Z, T ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.94/1.54 , c_Int_Onumber__class_Onumber__of( X, Y ), Z ), T ), alpha100( X, Y, Z,
% 0.94/1.54 T ) }.
% 0.94/1.54 { ! alpha56( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless__eq
% 0.94/1.54 ( X, T, c_Groups_Otimes__class_Otimes( X,
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( X, Y ), Z ) ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.94/1.54 alpha56( X, Y, Z, T ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Otimes__class_Otimes
% 0.94/1.54 ( X, c_Int_Onumber__class_Onumber__of( X, Y ), Z ) ), alpha56( X, Y, Z, T
% 0.94/1.54 ) }.
% 0.94/1.54 { ! alpha24( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.54 , c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.94/1.54 Y ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.94/1.54 , alpha24( X, Y, Z ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.54 , c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha24( X, Y, Z ) }.
% 0.94/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.54 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.54 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 0.94/1.54 X, Z ) ), Y ), alpha57( X, Y, Z, T ) }.
% 0.94/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.54 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.54 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 0.94/1.54 X, Z ) ), Y ), alpha77( X, Y, Z, T ) }.
% 0.94/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.94/1.54 class_Int_Onumber( X ), ! alpha57( X, Y, Z, T ), ! alpha77( X, Y, Z, T )
% 0.94/1.54 , c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide(
% 0.94/1.54 X, T, c_Int_Onumber__class_Onumber__of( X, Z ) ), Y ) }.
% 0.94/1.54 { ! alpha77( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Z
% 0.94/1.54 ) ), alpha89( X, Y, Z, T ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( X, Z ) ), alpha77( X, Y, Z, T ) }.
% 0.94/1.54 { ! alpha89( X, Y, Z, T ), alpha77( X, Y, Z, T ) }.
% 0.94/1.54 { ! alpha89( X, Y, Z, T ), alpha101( X, Y, Z, T ) }.
% 0.94/1.54 { ! alpha89( X, Y, Z, T ), alpha25( X, Y, Z ) }.
% 0.94/1.54 { ! alpha101( X, Y, Z, T ), ! alpha25( X, Y, Z ), alpha89( X, Y, Z, T ) }.
% 0.94/1.54 { ! alpha101( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero( X
% 0.94/1.54 ) ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes
% 0.94/1.54 ( X, Y, c_Int_Onumber__class_Onumber__of( X, Z ) ), T ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.94/1.54 ), c_Groups_Ozero__class_Ozero( X ) ), alpha101( X, Y, Z, T ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.94/1.54 , Y, c_Int_Onumber__class_Onumber__of( X, Z ) ), T ), alpha101( X, Y, Z,
% 0.94/1.54 T ) }.
% 0.94/1.54 { ! alpha57( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Z
% 0.94/1.54 ) ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, Y, c_Int_Onumber__class_Onumber__of( X
% 0.94/1.54 , Z ) ) ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( X, Z ) ), alpha57( X, Y, Z, T ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Otimes__class_Otimes
% 0.94/1.54 ( X, Y, c_Int_Onumber__class_Onumber__of( X, Z ) ) ), alpha57( X, Y, Z, T
% 0.94/1.54 ) }.
% 0.94/1.54 { ! alpha25( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero( X
% 0.94/1.54 ) ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.94/1.54 X ), Y ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X,
% 0.94/1.54 Z ), c_Groups_Ozero__class_Ozero( X ) ), alpha25( X, Y, Z ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.54 , Y ), alpha25( X, Y, Z ) }.
% 0.94/1.54 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X, Y,
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.94/1.54 ) ) ) ) = c_Groups_Oplus__class_Oplus( X, Y, Y ) }.
% 0.94/1.54 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.94/1.54 ) ) ), Y ) = c_Groups_Oplus__class_Oplus( X, Y, Y ) }.
% 0.94/1.54 { ! Z = c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.94/1.54 c_Int_OBit1( c_Int_OPls ) ) ), X ) ), c_Groups_Otimes__class_Otimes(
% 0.94/1.54 tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 0.94/1.54 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ), Z ) =
% 0.94/1.54 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) }.
% 0.94/1.54 { ! c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.94/1.54 c_Int_OBit1( c_Int_OPls ) ) ), Z ) = c_Rings_Oinverse__class_Odivide(
% 0.94/1.54 tc_RealDef_Oreal, Y, X ), Z = c_Rings_Oinverse__class_Odivide(
% 0.94/1.54 tc_RealDef_Oreal, Y, c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.94/1.54 c_Int_OBit1( c_Int_OPls ) ) ), X ) ) }.
% 0.94/1.54 { ! c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) = c_Nat_OSuc( X ) }.
% 0.94/1.54 { ! c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) = c_Nat_OSuc( X ) }.
% 0.94/1.54 { ! c_Nat_OSuc( X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.54 { ! c_Nat_OSuc( X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.54 { ! c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) = c_Nat_OSuc( X ) }.
% 0.94/1.54 { ! c_Nat_OSuc( X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.54 { c_Groups_Oone__class_Oone( tc_Nat_Onat ) = c_Nat_OSuc(
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.94/1.54 { X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.94/1.54 tc_Nat_Onat ), X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! X =
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.94/1.54 { X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.94/1.54 tc_Nat_Onat ), X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.94/1.54 ( tc_Nat_Onat ), X ), ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }
% 0.94/1.54 .
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc( Y ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc( Y ) ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), Y = X }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.94/1.54 { ! Y = X, c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) )
% 0.94/1.54 }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), c_Nat_OSuc
% 0.94/1.54 ( X ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), c_Nat_OSuc(
% 0.94/1.54 X ) ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ), Y = X }
% 0.94/1.54 .
% 0.94/1.54 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! Y = X,
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ), X = Y }
% 0.94/1.54 .
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), c_Nat_OSuc( Y ) = X
% 0.94/1.54 , c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Z ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), Z ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), Y = X }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), c_Nat_OSuc
% 0.94/1.54 ( X ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.94/1.54 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.94/1.54 tc_Nat_Onat ), X ) = X }.
% 0.94/1.54 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, c_Groups_Ozero__class_Ozero
% 0.94/1.54 ( tc_Nat_Onat ) ) = X }.
% 0.94/1.54 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y =
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.54 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X =
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.54 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), ! X =
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus(
% 0.94/1.54 tc_Nat_Onat, Y, X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.54 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) = Y, X =
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X =
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.54 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.94/1.54 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) =
% 0.94/1.54 c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.94/1.54 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) =
% 0.94/1.54 c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.94/1.54 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) =
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( X ), X ) }
% 0.94/1.54 .
% 0.94/1.54 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( X ), Y ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( X ), Y ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), Y = c_Nat_OSuc( X
% 0.94/1.54 ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.94/1.54 { ! Y = c_Nat_OSuc( X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y
% 0.94/1.54 , c_Nat_OSuc( X ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ),
% 0.94/1.54 c_Nat_OSuc( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X )
% 0.94/1.54 }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ),
% 0.94/1.54 c_Nat_OSuc( X ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), Y = c_Nat_OSuc( X
% 0.94/1.54 ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.94/1.54 ( tc_Nat_Onat, Y, X ), Y ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.94/1.54 ( tc_Nat_Onat, Y, X ), X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.94/1.54 ( tc_Nat_Onat, Z, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) )
% 0.94/1.54 , c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.94/1.54 tc_Nat_Onat, Z, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }
% 0.94/1.54 .
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.94/1.54 tc_Nat_Onat, Y, Z ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }
% 0.94/1.54 .
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, T, Z ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.94/1.54 tc_Nat_Onat, Y, T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }
% 0.94/1.54 .
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, T, X ) =
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, T, Z ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.94/1.54 ( tc_Nat_Onat, Y, Z ), X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y
% 0.94/1.54 , X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.94/1.54 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), Y = X,
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), Y = X }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.94/1.54 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! Y = X }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), Y = X,
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.94/1.54 { ! c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) =
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), !
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) =
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y = X }.
% 0.94/1.54 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, X ) =
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.54 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) = X }.
% 0.94/1.54 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.94/1.54 tc_Nat_Onat ), X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), X =
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, skol12( X, Y ) ) }.
% 0.94/1.54 { ! X = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ),
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ),
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, Z ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, T ),
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ), X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.94/1.54 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Nat_OSuc( Y ), c_Nat_OSuc(
% 0.94/1.54 X ) ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) }.
% 0.94/1.54 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.94/1.54 ( tc_Nat_Onat, c_Nat_OSuc( Z ), Y ), c_Nat_OSuc( X ) ) =
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.94/1.54 ( tc_Nat_Onat, Z, Y ), X ) }.
% 0.94/1.54 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Nat_OSuc( X ),
% 0.94/1.54 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) = X }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, Z ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.94/1.54 ( tc_Nat_Onat, Z, X ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.94/1.54 ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.94/1.54 ( tc_Nat_Onat, Y, Z ), X ) }.
% 0.94/1.54 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.94/1.54 tc_Nat_Onat, Y, X ), X ) = Y }.
% 0.94/1.54 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.94/1.54 tc_Nat_Onat, Y, X ), Y ) = X }.
% 0.94/1.54 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.94/1.54 ( tc_Nat_Onat, Z, Y ), X ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.94/1.54 Z, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.94/1.54 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.94/1.54 tc_Nat_Onat, Z, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) =
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) }.
% 0.94/1.54 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.94/1.54 tc_Nat_Onat, Z, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) =
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ),
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Z ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Z ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ),
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ),
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.94/1.54 ( tc_Nat_Onat, X, Y ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.94/1.54 ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Z ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) =
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ), X = Z }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), ! X = Z,
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) =
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X,
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) = Y }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, Z ),
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Z ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, X ),
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ), Y ) }.
% 0.94/1.54 { ! c_SEQ_Osubseq( X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, Z
% 0.94/1.54 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( X, Y ), hAPP( X, Z
% 0.94/1.54 ) ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, skol13( X ), skol31( X ) ),
% 0.94/1.54 c_SEQ_Osubseq( X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( X, skol13( X ) ),
% 0.94/1.54 hAPP( X, skol31( X ) ) ), c_SEQ_Osubseq( X ) }.
% 0.94/1.54 { ! c_SEQ_Osubseq( X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.94/1.54 hAPP( X, Y ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ), Y =
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), alpha26( X, Y ) }.
% 0.94/1.54 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.94/1.54 { ! alpha26( X, Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 0.94/1.54 c_Nat_OSuc( X ) ) }.
% 0.94/1.54 { ! alpha26( X, Y ), Y = c_Nat_OSuc( skol14( Z, Y ) ) }.
% 0.94/1.54 { ! alpha26( X, Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, skol14( X
% 0.94/1.54 , Y ), X ) }.
% 0.94/1.54 { ! Y = c_Nat_OSuc( Z ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, X
% 0.94/1.54 ), alpha26( X, Y ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc(
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), X =
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.54 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc(
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.94/1.54 ( tc_Nat_Onat ), X ), X = c_Nat_OSuc( skol15( X ) ) }.
% 0.94/1.54 { ! X = c_Nat_OSuc( Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.94/1.54 { ! c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) =
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ), alpha27( X, Y ),
% 0.94/1.54 alpha58( X, Y ) }.
% 0.94/1.54 { ! alpha27( X, Y ), c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat )
% 0.94/1.54 ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) }.
% 0.94/1.54 { ! alpha58( X, Y ), c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat )
% 0.94/1.54 ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) }.
% 0.94/1.54 { ! alpha58( X, Y ), Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.54 { ! alpha58( X, Y ), X = c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 0.94/1.54 tc_Nat_Onat ) ) }.
% 0.94/1.54 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), ! X = c_Nat_OSuc(
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), alpha58( X, Y ) }.
% 0.94/1.54 { ! alpha27( X, Y ), Y = c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 0.94/1.54 tc_Nat_Onat ) ) }.
% 0.94/1.54 { ! alpha27( X, Y ), X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.54 { ! Y = c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), ! X =
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), alpha27( X, Y ) }.
% 0.94/1.54 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) = c_Nat_OSuc(
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), alpha28( X, Y ), alpha59( X
% 0.94/1.54 , Y ) }.
% 0.94/1.54 { ! alpha28( X, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.94/1.54 c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.94/1.54 { ! alpha59( X, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.94/1.54 c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.94/1.54 { ! alpha59( X, Y ), Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.54 { ! alpha59( X, Y ), X = c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 0.94/1.54 tc_Nat_Onat ) ) }.
% 0.94/1.54 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), ! X = c_Nat_OSuc(
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), alpha59( X, Y ) }.
% 0.94/1.54 { ! alpha28( X, Y ), Y = c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 0.94/1.54 tc_Nat_Onat ) ) }.
% 0.94/1.54 { ! alpha28( X, Y ), X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.54 { ! Y = c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), ! X =
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), alpha28( X, Y ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.94/1.54 ( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.94/1.54 tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.94/1.54 ( tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus(
% 0.94/1.54 tc_Nat_Onat, Y, X ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.94/1.54 ( tc_Nat_Onat ), X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus(
% 0.94/1.54 tc_Nat_Onat, Y, X ) ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc(
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc(
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), X = c_Nat_OSuc(
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, skol16( X, Y ) ) ) }.
% 0.94/1.54 { ! X = c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc( Y ) ), X = Y }
% 0.94/1.54 .
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), ! X = Y,
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc( Y ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.94/1.54 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.94/1.54 ( tc_Nat_Onat, Y, X ), Y ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.94/1.54 ( tc_Nat_Onat ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.94/1.54 tc_Nat_Onat ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.94/1.54 ( tc_Nat_Onat, Y, X ), c_Nat_OSuc( Y ) ) }.
% 0.94/1.54 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y,
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) =
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) =
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.54 { ! c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) =
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) =
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Nat_OSuc( X ), Y ) =
% 0.94/1.54 c_Nat_OSuc( c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) = Y }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z,
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.94/1.54 tc_Nat_Onat, Z, X ), Y ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.94/1.54 ( tc_Nat_Onat, Z, X ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z
% 0.94/1.54 , c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.94/1.54 ( tc_Nat_Onat, X, Y ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.94/1.54 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Z ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Z ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.94/1.54 ( tc_Nat_Onat, X, Y ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.94/1.54 ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, Y ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.94/1.54 ( tc_Nat_Onat, Y, Z ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Z )
% 0.94/1.54 ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.94/1.54 tc_Nat_Onat, X, Z ), Y ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), Z ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus(
% 0.94/1.54 tc_Nat_Onat, X, Y ), Z ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ), Y ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.94/1.54 tc_Nat_Onat, Z, X ), Y ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z,
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) = Z, X =
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), ! X =
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ),
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) = Z }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus(
% 0.94/1.54 tc_Nat_Onat, X, Y ), Y ) = X }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z,
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) =
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.94/1.54 tc_Nat_Onat, Z, X ), Y ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y,
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) = X }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.94/1.54 tc_Nat_Onat, X, Z ), Y ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ), X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ), X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z,
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) =
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.94/1.54 tc_Nat_Onat, Z, Y ), X ) }.
% 0.94/1.54 { ! c_SEQ_Osubseq( X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( X
% 0.94/1.54 , Y ), hAPP( X, c_Nat_OSuc( Y ) ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( X, skol17( X ) ),
% 0.94/1.54 hAPP( X, c_Nat_OSuc( skol17( X ) ) ) ), c_SEQ_Osubseq( X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.94/1.54 ( tc_Nat_Onat ), X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, c_Nat_OSuc( Y ) ), X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.94/1.54 ( tc_Nat_Onat ), X ), c_Nat_OSuc( c_Groups_Ominus__class_Ominus(
% 0.94/1.54 tc_Nat_Onat, X, c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) )
% 0.94/1.54 ) ) = X }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.94/1.54 ( tc_Nat_Onat ), X ), c_Nat_OSuc( c_Groups_Ominus__class_Ominus(
% 0.94/1.54 tc_Nat_Onat, X, c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) ) = X }.
% 0.94/1.54 { ! hBOOL( hAPP( Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) )
% 0.94/1.54 , alpha29( X, Y, Z ) }.
% 0.94/1.54 { ! hBOOL( hAPP( Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) )
% 0.94/1.54 , alpha60( X, Y, Z ) }.
% 0.94/1.54 { ! alpha29( X, Y, Z ), ! alpha60( X, Y, Z ), hBOOL( hAPP( Z,
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) ) }.
% 0.94/1.54 { ! alpha60( X, Y, Z ), ! Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.94/1.54 T ), hBOOL( hAPP( Z, T ) ) }.
% 0.94/1.54 { ! hBOOL( hAPP( Z, skol18( T, U, Z ) ) ), alpha60( X, Y, Z ) }.
% 0.94/1.54 { Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, skol18( X, Y, Z ) ),
% 0.94/1.54 alpha60( X, Y, Z ) }.
% 0.94/1.54 { ! alpha29( X, Y, Z ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X
% 0.94/1.54 ), hBOOL( hAPP( Z, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), alpha29( X, Y, Z ) }
% 0.94/1.54 .
% 0.94/1.54 { ! hBOOL( hAPP( Z, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), alpha29
% 0.94/1.54 ( X, Y, Z ) }.
% 0.94/1.54 { ! hBOOL( hAPP( Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) )
% 0.94/1.54 , ! alpha30( X, Y, Z ) }.
% 0.94/1.54 { ! hBOOL( hAPP( Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) )
% 0.94/1.54 , ! alpha61( X, Y, Z ) }.
% 0.94/1.54 { alpha30( X, Y, Z ), alpha61( X, Y, Z ), hBOOL( hAPP( Z,
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) ) }.
% 0.94/1.54 { ! alpha61( X, Y, Z ), ! hBOOL( hAPP( Z, skol19( T, U, Z ) ) ) }.
% 0.94/1.54 { ! alpha61( X, Y, Z ), Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.94/1.54 skol19( X, Y, Z ) ) }.
% 0.94/1.54 { ! Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, T ), hBOOL( hAPP( Z, T
% 0.94/1.54 ) ), alpha61( X, Y, Z ) }.
% 0.94/1.54 { ! alpha30( X, Y, Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X )
% 0.94/1.54 }.
% 0.94/1.54 { ! alpha30( X, Y, Z ), ! hBOOL( hAPP( Z, c_Groups_Ozero__class_Ozero(
% 0.94/1.54 tc_Nat_Onat ) ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), hBOOL( hAPP( Z,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), alpha30( X, Y, Z ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, c_Nat_OSuc(
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) ) =
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.94/1.54 tc_Nat_Onat, Z, Y ), c_Nat_OSuc( X ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Nat_OSuc(
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ), Z ) =
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Nat_OSuc( X ),
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ) ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.54 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, skol20( Y ) ), v_r
% 0.94/1.54 ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.54 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.94/1.54 ( tc_Complex_Ocomplex, v_p, skol20( X ) ) ), c_Groups_Oplus__class_Oplus
% 0.94/1.54 ( tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.94/1.54 v_s____ ), c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.94/1.54 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.94/1.54 tc_Nat_Onat, c_Nat_OSuc( X ) ) ) ) ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.54 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP( skol21, X ) )
% 0.94/1.54 , v_r ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.54 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.94/1.54 ( tc_Complex_Ocomplex, v_p, hAPP( skol21, X ) ) ),
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.94/1.54 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 0.94/1.54 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.94/1.54 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.94/1.54 tc_Nat_Onat, c_Nat_OSuc( X ) ) ) ) ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.54 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, skol22( Y ) ), v_r
% 0.94/1.54 ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.54 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.94/1.54 ( tc_Complex_Ocomplex, v_p, skol22( X ) ) ), c_Groups_Oplus__class_Oplus
% 0.94/1.54 ( tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.94/1.54 v_s____ ), c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.94/1.54 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.94/1.54 tc_Nat_Onat, c_Nat_OSuc( X ) ) ) ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.54 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, Y ), v_r ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.54 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.94/1.54 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.94/1.54 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.94/1.54 ( tc_Complex_Ocomplex, v_p, Y ) ) ) ), X ), c_Orderings_Oord__class_Oless
% 0.94/1.54 ( tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.94/1.54 v_s____ ), X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.54 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ), X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.54 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, skol23( Y ) ), v_r
% 0.94/1.54 ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.54 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ), X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.54 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.94/1.54 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.94/1.54 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.94/1.54 ( tc_Complex_Ocomplex, v_p, skol23( X ) ) ) ) ), X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.54 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, Y ), v_r ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.54 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.94/1.54 ( tc_Complex_Ocomplex, v_p, Y ) ), X ), c_Orderings_Oord__class_Oless(
% 0.94/1.54 tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.94/1.54 v_s____ ), X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.54 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ), X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.54 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, skol24( Y ) ), v_r
% 0.94/1.54 ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.54 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ), X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.54 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.94/1.54 ( tc_Complex_Ocomplex, v_p, skol24( X ) ) ), X ) }.
% 0.94/1.54 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.94/1.54 tc_Nat_Onat ), X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.54 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) =
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.54 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y =
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X =
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.54 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.54 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.54 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ), Y = X, Z =
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.54 { ! Y = X, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) }.
% 0.94/1.54 { ! Z = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) }.
% 0.94/1.54 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ), Z = X, Y =
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.54 { ! Z = X, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) }.
% 0.94/1.54 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, X ) ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, X ) ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, Z ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, Z ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, T ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ) ) }.
% 0.94/1.54 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), Y ) =
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), X ), Y = X }
% 0.94/1.54 .
% 0.94/1.54 { ! Y = X, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), Y )
% 0.94/1.54 = c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), X ) }.
% 0.94/1.54 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.94/1.54 tc_Nat_Onat, Z, Y ), X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.94/1.54 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z,
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) =
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.94/1.54 tc_Nat_Onat, Z, Y ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) )
% 0.94/1.54 }.
% 0.94/1.54 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) =
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Int_Oint, X, Y ) }.
% 0.94/1.54 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Groups_Otimes__class_Otimes
% 0.94/1.54 ( tc_Int_Oint, Z, Y ), X ) = c_Groups_Otimes__class_Otimes( tc_Int_Oint,
% 0.94/1.54 Z, c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 0.94/1.54 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Int_OPls, X ) = c_Int_OPls
% 0.94/1.54 }.
% 0.94/1.54 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Int_OBit0( Y ), X ) =
% 0.94/1.54 c_Int_OBit0( c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 0.94/1.54 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, X, c_Groups_Oone__class_Oone
% 0.94/1.54 ( tc_Int_Oint ) ) = X }.
% 0.94/1.54 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Groups_Oone__class_Oone(
% 0.94/1.54 tc_Int_Oint ), X ) = X }.
% 0.94/1.54 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.94/1.54 tc_Int_Oint, Z, Y ), X ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, X ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 0.94/1.54 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z,
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) =
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Otimes__class_Otimes(
% 0.94/1.54 tc_Int_Oint, Z, Y ), c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, X ) )
% 0.94/1.54 }.
% 0.94/1.54 { c_Groups_Otimes__class_Otimes( tc_Int_Oint,
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) =
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( tc_Int_Oint,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 0.94/1.54 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.94/1.54 ( tc_Nat_Onat, Z, Y ), X ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.94/1.54 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z,
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) =
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes
% 0.94/1.54 ( tc_Nat_Onat, Z, Y ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X )
% 0.94/1.54 ) }.
% 0.94/1.54 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Oone__class_Oone(
% 0.94/1.54 tc_Nat_Onat ), X ) = X }.
% 0.94/1.54 { ! c_Groups_Oone__class_Oone( tc_Nat_Onat ) =
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ), Y =
% 0.94/1.54 c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.94/1.54 { ! c_Groups_Oone__class_Oone( tc_Nat_Onat ) =
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ), X =
% 0.94/1.54 c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.94/1.54 { ! Y = c_Groups_Oone__class_Oone( tc_Nat_Onat ), ! X =
% 0.94/1.54 c_Groups_Oone__class_Oone( tc_Nat_Onat ), c_Groups_Oone__class_Oone(
% 0.94/1.54 tc_Nat_Onat ) = c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) }.
% 0.94/1.54 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, c_Groups_Oone__class_Oone
% 0.94/1.54 ( tc_Nat_Onat ) ) = X }.
% 0.94/1.54 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.94/1.54 c_Groups_Oone__class_Oone( tc_Nat_Onat ), Y = c_Groups_Oone__class_Oone(
% 0.94/1.54 tc_Nat_Onat ) }.
% 0.94/1.54 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.94/1.54 c_Groups_Oone__class_Oone( tc_Nat_Onat ), X = c_Groups_Oone__class_Oone(
% 0.94/1.54 tc_Nat_Onat ) }.
% 0.94/1.54 { ! Y = c_Groups_Oone__class_Oone( tc_Nat_Onat ), ! X =
% 0.94/1.54 c_Groups_Oone__class_Oone( tc_Nat_Onat ), c_Groups_Otimes__class_Otimes(
% 0.94/1.54 tc_Nat_Onat, Y, X ) = c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.94/1.54 { c_Groups_Otimes__class_Otimes( tc_Int_Oint,
% 0.94/1.54 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y ), X ) =
% 0.94/1.54 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 0.94/1.54 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Groups_Ominus__class_Ominus
% 0.94/1.54 ( tc_Int_Oint, Z, Y ), X ) = c_Groups_Ominus__class_Ominus( tc_Int_Oint,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, X ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 0.94/1.54 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z,
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X ) ) =
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Groups_Otimes__class_Otimes
% 0.94/1.54 ( tc_Int_Oint, Z, Y ), c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, X )
% 0.94/1.54 ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, c_Int_OPls ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Z ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ), X ) ) =
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, c_Int_OPls ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Z ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ), X ) ) =
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ) ), X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) =
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) =
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 0.94/1.54 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) = c_Nat_OSuc(
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), Y = c_Nat_OSuc(
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.94/1.54 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) = c_Nat_OSuc(
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X = c_Nat_OSuc(
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.94/1.54 { ! Y = c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), ! X =
% 0.94/1.54 c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) = c_Nat_OSuc(
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.94/1.54 ( tc_Nat_Onat ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.94/1.54 tc_Nat_Onat ), Y ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.94/1.54 ( tc_Nat_Onat ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.94/1.54 tc_Nat_Onat ), X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.94/1.54 ( tc_Nat_Onat ), Y ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.94/1.54 tc_Nat_Onat ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.94/1.54 tc_Nat_Onat ), Z ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.94/1.54 ( tc_Nat_Onat ), Z ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X
% 0.94/1.54 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.94/1.54 tc_Nat_Onat ), Y ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.94/1.54 ( tc_Nat_Onat ), Y ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, X
% 0.94/1.54 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.94/1.54 tc_Nat_Onat ), Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, Z ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.94/1.54 tc_Nat_Onat ), Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), Y ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), X ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Otimes__class_Otimes
% 0.94/1.54 ( tc_Nat_Onat, c_Nat_OSuc( Z ), Y ), c_Groups_Otimes__class_Otimes(
% 0.94/1.54 tc_Nat_Onat, c_Nat_OSuc( Z ), X ) ) }.
% 0.94/1.54 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) =
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.94/1.54 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) =
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), Y ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), X ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), Y ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), X ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.94/1.54 tc_Int_Oint ), Z ), c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, X ) ) }.
% 0.94/1.54 { ! Y = c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ), X =
% 0.94/1.54 c_Groups_Oone__class_Oone( tc_Nat_Onat ), Y = c_Groups_Ozero__class_Ozero
% 0.94/1.54 ( tc_Nat_Onat ) }.
% 0.94/1.54 { c_RealDef_Oreal( tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat
% 0.94/1.54 , Y, X ) ) = c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.94/1.54 c_RealDef_Oreal( tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ) }
% 0.94/1.54 .
% 0.94/1.54 { ! c_Groups_Oabs__class_Oabs( tc_Int_Oint, c_Groups_Otimes__class_Otimes(
% 0.94/1.54 tc_Int_Oint, X, Y ) ) = c_Groups_Oone__class_Oone( tc_Int_Oint ),
% 0.94/1.54 c_Groups_Oabs__class_Oabs( tc_Int_Oint, X ) = c_Groups_Oone__class_Oone(
% 0.94/1.54 tc_Int_Oint ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc(
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc(
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), Y ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc(
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc(
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc(
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), Y ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc(
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc(
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), Y ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc(
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc(
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), Y ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc(
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc(
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc(
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), Y ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc(
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc(
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.94/1.54 tc_Nat_Onat ), Z ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X
% 0.94/1.54 ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.94/1.54 tc_Nat_Onat ), Z ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.94/1.54 tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, X
% 0.94/1.54 ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.94/1.54 tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ) }.
% 0.94/1.54 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Int_OBit1( Y ), X ) =
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OBit0(
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ), X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.94/1.54 ( tc_Int_Oint ), X ), ! c_Groups_Otimes__class_Otimes( tc_Int_Oint, X, Y
% 0.94/1.54 ) = c_Groups_Oone__class_Oone( tc_Int_Oint ), X =
% 0.94/1.54 c_Groups_Oone__class_Oone( tc_Int_Oint ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.94/1.54 ( tc_Int_Oint ), X ), ! c_Groups_Otimes__class_Otimes( tc_Int_Oint, X, Y
% 0.94/1.54 ) = c_Groups_Oone__class_Oone( tc_Int_Oint ), Y =
% 0.94/1.54 c_Groups_Oone__class_Oone( tc_Int_Oint ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.94/1.54 ( tc_Int_Oint ), X ), ! X = c_Groups_Oone__class_Oone( tc_Int_Oint ), ! Y
% 0.94/1.54 = c_Groups_Oone__class_Oone( tc_Int_Oint ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Int_Oint, X, Y ) =
% 0.94/1.54 c_Groups_Oone__class_Oone( tc_Int_Oint ) }.
% 0.94/1.54 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.94/1.54 { Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.94/1.54 ( tc_Nat_Onat, Y, c_Groups_Oone__class_Oone( tc_Nat_Onat ) ), X ) ) }.
% 0.94/1.54 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.54 c_Int_OPls ) ) ), X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, X )
% 0.94/1.54 }.
% 0.94/1.54 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X,
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.54 c_Int_OPls ) ) ) ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.54 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ), v_r ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.54 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.94/1.54 ( tc_Complex_Ocomplex, v_p, X ) ), c_Groups_Ouminus__class_Ouminus(
% 0.94/1.54 tc_RealDef_Oreal, v_s____ ) ), c_Orderings_Oord__class_Oless(
% 0.94/1.54 tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.94/1.54 v_s____ ), c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) )
% 0.94/1.54 }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.54 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 0.94/1.54 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.54 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, skol25 ), v_r ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.54 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 0.94/1.54 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.54 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.94/1.54 ( tc_Complex_Ocomplex, v_p, skol25 ) ), c_Groups_Ouminus__class_Ouminus(
% 0.94/1.54 tc_RealDef_Oreal, v_s____ ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.54 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, Y ), v_r ), !
% 0.94/1.54 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.94/1.54 ( tc_Complex_Ocomplex, v_p, Y ) ) = c_Groups_Ouminus__class_Ouminus(
% 0.94/1.54 tc_RealDef_Oreal, X ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X
% 0.94/1.54 , skol26 ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), v_r ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.54 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ), v_r ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.54 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.94/1.54 ( tc_Complex_Ocomplex, v_p, skol27 ) ), c_RealVector_Onorm__class_Onorm(
% 0.94/1.54 tc_Complex_Ocomplex, c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p, X ) )
% 0.94/1.54 ) }.
% 0.94/1.54 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Otimes__class_Otimes
% 0.94/1.54 ( tc_Nat_Onat, Z, Y ), X ) = c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.94/1.54 Z, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.94/1.54 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) }.
% 0.94/1.54 { c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.94/1.54 tc_Nat_Onat, X ), c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 0.94/1.54 c_Int_OBit0( c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) =
% 0.94/1.54 c_RealDef_Oreal( tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat
% 0.94/1.54 , c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit0
% 0.94/1.54 ( c_Int_OBit1( c_Int_OPls ) ) ) ), X ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.54 c_Int_OPls ) ) ) ), X = c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X =
% 0.94/1.54 c_Groups_Oone__class_Oone( tc_Int_Oint ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc( c_Nat_OSuc(
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) ), X =
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X = c_Nat_OSuc(
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.94/1.54 ( tc_Int_Oint ), X ), c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Z,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.94/1.54 tc_Int_Oint, c_Groups_Oabs__class_Oabs( tc_Int_Oint,
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Z, Y ) ),
% 0.94/1.54 c_Groups_Oone__class_Oone( tc_Int_Oint ) ), X ) ), Y ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.94/1.54 ( tc_Int_Oint ), X ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Z,
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.94/1.54 tc_Int_Oint, c_Groups_Oabs__class_Oabs( tc_Int_Oint,
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, Z ) ),
% 0.94/1.54 c_Groups_Oone__class_Oone( tc_Int_Oint ) ), X ) ) ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OPls ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit0( X ) ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit1( X ) ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.94/1.54 ( tc_Int_Oint ), X ), ! X = c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Int_Oint, X, Y ) ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Groups_Oone__class_Oone
% 0.94/1.54 ( tc_Int_Oint ), Y ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.94/1.54 ( tc_Int_Oint ), X ), ! X = c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Int_Oint, X, Y ) ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Z ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y,
% 0.94/1.54 c_Groups_Oone__class_Oone( tc_Int_Oint ) ) }.
% 0.94/1.54 { ! c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Otimes__class_Otimes
% 0.94/1.54 ( tc_Int_Oint, W, U ), T ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ), X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.94/1.54 tc_Int_Oint, c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ), X ),
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Int_Oint, T, W ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.94/1.54 tc_Int_Oint ), Z ), ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Z,
% 0.94/1.54 W ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, U ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Otimes__class_Otimes(
% 0.94/1.54 tc_Int_Oint, U, T ), Z ), c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Int_Oint, U, Y ), X ) ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Int_Oint, U, X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Int_Oint, U, Z ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, T ) }.
% 0.94/1.54 { ! c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Otimes__class_Otimes
% 0.94/1.54 ( tc_Int_Oint, W, U ), T ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ), X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Oplus__class_Oplus(
% 0.94/1.54 tc_Int_Oint, c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ), X ) ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, Z ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), T ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.94/1.54 tc_Int_Oint ), Z ), ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Z,
% 0.94/1.54 W ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, U, Y ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Otimes__class_Otimes(
% 0.94/1.54 tc_Int_Oint, U, T ), Z ), c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Int_Oint, U, Y ), X ) ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Z ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, U ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, U ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, T, Y ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus
% 0.94/1.54 ( tc_Int_Oint, c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ), X ),
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.94/1.54 tc_Int_Oint ), Z ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Oplus__class_Oplus(
% 0.94/1.54 tc_Int_Oint, c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ), X ) ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, Z ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.94/1.54 tc_Int_Oint ), Z ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.54 c_Int_OPls ) ) ) ) }.
% 0.94/1.54 { ! class_Rings_Olinordered__semiring__1__strict( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.94/1.54 ( X, T, Y ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ), U ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), W
% 0.94/1.54 ), ! c_Groups_Oplus__class_Oplus( X, U, W ) = c_Groups_Oone__class_Oone
% 0.94/1.54 ( X ), c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, U, Z ), c_Groups_Otimes__class_Otimes(
% 0.94/1.54 X, W, T ) ), Y ) }.
% 0.94/1.54 { ! class_Rings_Olinordered__idom( X ), Z = Y,
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.94/1.54 X, Y, Z ) }.
% 0.94/1.54 { ! class_Rings_Omult__zero( X ), c_Groups_Otimes__class_Otimes( X,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.94/1.54 }.
% 0.94/1.54 { ! class_Rings_Omult__zero( X ), c_Groups_Otimes__class_Otimes( X, Y,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.54 { ! class_Rings_Oring__no__zero__divisors( X ), !
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, Z, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.94/1.54 ), Z = c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero
% 0.94/1.54 ( X ) }.
% 0.94/1.54 { ! class_Rings_Oring__no__zero__divisors( X ), ! Z =
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.94/1.54 ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.54 { ! class_Rings_Oring__no__zero__divisors( X ), ! Y =
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.94/1.54 ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.54 { ! class_Rings_Ono__zero__divisors( X ), Y = c_Groups_Ozero__class_Ozero(
% 0.94/1.54 X ), Z = c_Groups_Ozero__class_Ozero( X ), !
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, Y, Z ) = c_Groups_Ozero__class_Ozero( X
% 0.94/1.54 ) }.
% 0.94/1.54 { ! class_Rings_Ono__zero__divisors( X ), ! c_Groups_Otimes__class_Otimes(
% 0.94/1.54 X, Z, Y ) = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.94/1.54 .
% 0.94/1.54 { ! class_Rings_Ozero__neq__one( X ), ! c_Groups_Ozero__class_Ozero( X ) =
% 0.94/1.54 c_Groups_Oone__class_Oone( X ) }.
% 0.94/1.54 { ! class_Rings_Ozero__neq__one( X ), ! c_Groups_Oone__class_Oone( X ) =
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.54 { ! class_Rings_Osemiring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Oplus__class_Oplus( X
% 0.94/1.54 , c_Groups_Otimes__class_Otimes( X, Z, T ), Y ) ) =
% 0.94/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.94/1.54 c_Groups_Oplus__class_Oplus( X, U, Z ), T ), Y ) }.
% 0.94/1.54 { ! class_Rings_Ocomm__semiring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.94/1.54 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.94/1.54 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.94/1.54 { ! class_Rings_Oidom( X ), ! c_Groups_Otimes__class_Otimes( X, Z, Z ) =
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, Y, Y ), Z = Y, Z =
% 0.94/1.54 c_Groups_Ouminus__class_Ouminus( X, Y ) }.
% 0.94/1.54 { ! class_Rings_Oidom( X ), ! Z = Y, c_Groups_Otimes__class_Otimes( X, Z, Z
% 0.94/1.54 ) = c_Groups_Otimes__class_Otimes( X, Y, Y ) }.
% 0.94/1.54 { ! class_Rings_Oidom( X ), ! Z = c_Groups_Ouminus__class_Ouminus( X, Y ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, Z, Z ) = c_Groups_Otimes__class_Otimes
% 0.94/1.54 ( X, Y, Y ) }.
% 0.94/1.54 { ! class_Rings_Oring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.94/1.54 c_Groups_Ouminus__class_Ouminus( X, Z ), c_Groups_Ouminus__class_Ouminus
% 0.94/1.54 ( X, Y ) ) = c_Groups_Otimes__class_Otimes( X, Z, Y ) }.
% 0.94/1.54 { ! class_Rings_Oring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.94/1.54 c_Groups_Ouminus__class_Ouminus( X, Z ), Y ) =
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, Z, c_Groups_Ouminus__class_Ouminus( X,
% 0.94/1.54 Y ) ) }.
% 0.94/1.54 { ! class_Rings_Oring( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, c_Groups_Ouminus__class_Ouminus( X, Z )
% 0.94/1.54 , Y ) }.
% 0.94/1.54 { ! class_Rings_Oring( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, Z, c_Groups_Ouminus__class_Ouminus( X,
% 0.94/1.54 Y ) ) }.
% 0.94/1.54 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.94/1.54 }.
% 0.94/1.54 { ! class_Rings_Odivision__ring__inverse__zero( X ),
% 0.94/1.54 c_Rings_Oinverse__class_Odivide( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 0.94/1.54 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.54 { ! class_Rings_Odivision__ring( X ), c_Groups_Otimes__class_Otimes( X, T,
% 0.94/1.54 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 0.94/1.54 c_Rings_Oinverse__class_Odivide( X, c_Groups_Otimes__class_Otimes( X, T,
% 0.94/1.54 Z ), Y ) }.
% 0.94/1.54 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.94/1.54 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.94/1.54 ( X, c_Rings_Oinverse__class_Odivide( X, T, Y ),
% 0.94/1.54 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.94/1.54 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.94/1.54 c_Groups_Ominus__class_Ominus( X, T, Z ), Y ) =
% 0.94/1.54 c_Groups_Ominus__class_Ominus( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.94/1.54 Y ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.94/1.54 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X, Y
% 0.94/1.54 , c_Groups_Oone__class_Oone( X ) ) = Y }.
% 0.94/1.54 { ! class_Rings_Olinordered__idom( X ), c_Groups_Otimes__class_Otimes( X,
% 0.94/1.54 c_Groups_Oabs__class_Oabs( X, Y ), c_Groups_Oabs__class_Oabs( X, Y ) ) =
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, Y, Y ) }.
% 0.94/1.54 { ! class_Rings_Olinordered__idom( X ), c_Groups_Oabs__class_Oabs( X,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 0.94/1.54 c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.94/1.54 { ! class_Rings_Odivision__ring( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.94/1.54 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 0.94/1.54 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ouminus__class_Ouminus( X, Z
% 0.94/1.54 ), Y ) }.
% 0.94/1.54 { ! class_Rings_Olinordered__idom( X ), c_Groups_Oabs__class_Oabs( X,
% 0.94/1.54 c_Groups_Oone__class_Oone( X ) ) = c_Groups_Oone__class_Oone( X ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Ozero__class_Ozero(
% 0.94/1.54 tc_Int_Oint ) ) }.
% 0.94/1.54 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.94/1.54 ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.54 , c_Groups_Otimes__class_Otimes( X, Z, Y ), c_Groups_Ozero__class_Ozero(
% 0.94/1.54 X ) ) }.
% 0.94/1.54 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.54 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.94/1.54 X ), Y ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, Z, Y ), c_Groups_Ozero__class_Ozero( X
% 0.94/1.54 ) ) }.
% 0.94/1.54 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.54 , c_Groups_Ozero__class_Ozero( X ), Z ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.94/1.54 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.94/1.54 ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.94/1.54 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.54 , Z, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.54 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.94/1.54 ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.94/1.54 { ! class_Rings_Oordered__semiring( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, U, T ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.94/1.54 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.94/1.54 X ), U ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, Z, U ), c_Groups_Otimes__class_Otimes(
% 0.94/1.54 X, Y, T ) ) }.
% 0.94/1.54 { ! class_Rings_Oordered__semiring( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, U, T ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.94/1.54 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.94/1.54 X ), U ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, Z, U ), c_Groups_Otimes__class_Otimes(
% 0.94/1.54 X, Y, T ) ) }.
% 0.94/1.54 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.54 , Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, T,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.54 , c_Groups_Otimes__class_Otimes( X, T, Y ), c_Groups_Otimes__class_Otimes
% 0.94/1.54 ( X, T, Z ) ) }.
% 0.94/1.54 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.54 , Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, T,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.54 , c_Groups_Otimes__class_Otimes( X, Y, T ), c_Groups_Otimes__class_Otimes
% 0.94/1.54 ( X, Z, T ) ) }.
% 0.94/1.54 { ! class_Rings_Oordered__comm__semiring( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.94/1.54 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes(
% 0.94/1.54 X, T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.94/1.54 { ! class_Rings_Oordered__semiring( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.94/1.54 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes(
% 0.94/1.54 X, T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.94/1.54 { ! class_Rings_Oordered__semiring( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.94/1.54 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes(
% 0.94/1.54 X, Z, T ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.94/1.54 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.54 , Y, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.54 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.94/1.54 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.94/1.54 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.54 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.94/1.54 X ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, Y, Z ), c_Groups_Ozero__class_Ozero( X
% 0.94/1.54 ) ) }.
% 0.94/1.54 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.94/1.54 ), ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.54 , c_Groups_Otimes__class_Otimes( X, Z, Y ), c_Groups_Ozero__class_Ozero(
% 0.94/1.54 X ) ) }.
% 0.94/1.54 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.94/1.54 ), ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.54 , c_Groups_Otimes__class_Otimes( X, Y, Z ), c_Groups_Ozero__class_Ozero(
% 0.94/1.54 X ) ) }.
% 0.94/1.54 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.94/1.54 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.94/1.54 X ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Y, Z
% 0.94/1.54 ) ) }.
% 0.94/1.54 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.94/1.54 , Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha31( X, Y, Z ), alpha62( X
% 0.94/1.54 , Y, Z ) }.
% 0.94/1.54 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha31( X, Y, Z ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.94/1.54 , Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.54 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha62( X, Y, Z ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.94/1.54 , Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.54 { ! alpha62( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.54 { ! alpha62( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.94/1.54 ) ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero
% 0.94/1.54 ( X ), Y ), alpha62( X, Y, Z ) }.
% 0.94/1.54 { ! alpha31( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.94/1.54 { ! alpha31( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.54 , Z ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ) ), alpha31( X, Y, Z ) }.
% 0.94/1.54 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, Z, Y ) ), alpha32( X, Y, Z ), alpha63(
% 0.94/1.54 X, Y, Z ) }.
% 0.94/1.54 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha32( X, Y, Z ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.94/1.54 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha63( X, Y, Z ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.94/1.54 { ! alpha63( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.54 { ! alpha63( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.94/1.54 ) ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ) ), alpha63( X, Y, Z ) }.
% 0.94/1.54 { ! alpha32( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.94/1.54 { ! alpha32( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.54 , Z ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ), Y ), alpha32( X, Y, Z ) }.
% 0.94/1.54 { ! class_Rings_Olinordered__ring( X ), c_Orderings_Oord__class_Oless__eq(
% 0.94/1.54 X, c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Y
% 0.94/1.54 , Y ) ) }.
% 0.94/1.54 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.94/1.54 ( X, T, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 0.94/1.54 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, T, Z ) ) }.
% 0.94/1.54 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.94/1.54 ( X, T, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 0.94/1.54 ( X, c_Groups_Otimes__class_Otimes( X, Y, T ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, Z, T ) ) }.
% 0.94/1.54 { ! class_Rings_Olinordered__comm__semiring__strict( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.94/1.54 ( X, c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless
% 0.94/1.54 ( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.94/1.54 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.94/1.54 ( X, c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless
% 0.94/1.54 ( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.94/1.54 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.94/1.54 ( X, c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless
% 0.94/1.54 ( X, c_Groups_Otimes__class_Otimes( X, Z, T ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.94/1.54 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.94/1.54 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.94/1.54 , c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.94/1.54 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.94/1.54 ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.94/1.54 , c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.94/1.54 Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.54 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.94/1.54 ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.94/1.54 T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.94/1.54 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.94/1.54 ! c_Orderings_Oord__class_Oless( X, Z, T ), c_Orderings_Oord__class_Oless
% 0.94/1.54 ( X, c_Groups_Otimes__class_Otimes( X, Y, T ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.94/1.54 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, Z, Y ) ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ) }
% 0.94/1.54 .
% 0.94/1.54 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, Z, Y ) ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ) }
% 0.94/1.54 .
% 0.94/1.54 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.94/1.54 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.94/1.54 , c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z,
% 0.94/1.54 Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.54 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.94/1.54 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.94/1.54 , c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.94/1.54 Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.54 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.94/1.54 ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.94/1.54 , c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.94/1.54 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.94/1.54 ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.94/1.54 T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, T, Z ) }.
% 0.94/1.54 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.94/1.54 ! c_Orderings_Oord__class_Oless( X, T, Z ), c_Orderings_Oord__class_Oless
% 0.94/1.54 ( X, c_Groups_Otimes__class_Otimes( X, Y, T ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.94/1.54 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.94/1.54 ), c_Groups_Otimes__class_Otimes( X, T, Y ) ), alpha33( X, Y, Z, T ),
% 0.94/1.54 alpha64( X, Y, Z, T ) }.
% 0.94/1.54 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha33( X, Y, Z, T ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.94/1.54 ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.94/1.54 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha64( X, Y, Z, T ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.94/1.54 ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.94/1.54 { ! alpha64( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, T,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.54 { ! alpha64( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( X, T, c_Groups_Ozero__class_Ozero( X ) )
% 0.94/1.54 , ! c_Orderings_Oord__class_Oless( X, Y, Z ), alpha64( X, Y, Z, T ) }.
% 0.94/1.54 { ! alpha33( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ), T ) }.
% 0.94/1.54 { ! alpha33( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T )
% 0.94/1.54 , ! c_Orderings_Oord__class_Oless( X, Z, Y ), alpha33( X, Y, Z, T ) }.
% 0.94/1.54 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.94/1.54 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ), alpha34( X, Y, Z, T ),
% 0.94/1.54 alpha65( X, Y, Z, T ) }.
% 0.94/1.54 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha34( X, Y, Z, T ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.94/1.54 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.94/1.54 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha65( X, Y, Z, T ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.94/1.54 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.94/1.54 { ! alpha65( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, Z,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.54 { ! alpha65( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, Y, T ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.94/1.54 , ! c_Orderings_Oord__class_Oless( X, Y, T ), alpha65( X, Y, Z, T ) }.
% 0.94/1.54 { ! alpha34( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.94/1.54 { ! alpha34( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.94/1.54 , ! c_Orderings_Oord__class_Oless( X, T, Y ), alpha34( X, Y, Z, T ) }.
% 0.94/1.54 { ! class_Rings_Olinordered__ring( X ), ! c_Orderings_Oord__class_Oless( X
% 0.94/1.54 , c_Groups_Otimes__class_Otimes( X, Y, Y ), c_Groups_Ozero__class_Ozero(
% 0.94/1.54 X ) ) }.
% 0.94/1.54 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.94/1.54 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, T, Z ), c_Orderings_Oord__class_Oless(
% 0.94/1.54 X, T, c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.94/1.54 { ! class_Rings_Olinordered__semidom( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ),
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.54 { ! class_Rings_Olinordered__semidom( X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.54 c_Groups_Oone__class_Oone( X ) ) }.
% 0.94/1.54 { ! class_Rings_Olinordered__semidom( X ), c_Orderings_Oord__class_Oless( X
% 0.94/1.54 , c_Groups_Ozero__class_Ozero( X ), c_Groups_Oone__class_Oone( X ) ) }.
% 0.94/1.54 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.94/1.54 ( X, c_Groups_Oone__class_Oone( X ), c_Groups_Ozero__class_Ozero( X ) ) }
% 0.94/1.54 .
% 0.94/1.54 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.94/1.54 , Y, c_Groups_Ouminus__class_Ouminus( X, Y ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ) }
% 0.94/1.54 .
% 0.94/1.54 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.94/1.54 , Y, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 0.94/1.54 , Y, c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.94/1.54 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.94/1.54 ( X, c_Groups_Oone__class_Oone( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.94/1.54 ( X, c_Groups_Oone__class_Oone( X ), Z ), c_Orderings_Oord__class_Oless(
% 0.94/1.54 X, c_Groups_Oone__class_Oone( X ), c_Groups_Otimes__class_Otimes( X, Y, Z
% 0.94/1.54 ) ) }.
% 0.94/1.54 { ! class_Rings_Olinordered__semidom( X ), c_Orderings_Oord__class_Oless( X
% 0.94/1.54 , Y, c_Groups_Oplus__class_Oplus( X, Y, c_Groups_Oone__class_Oone( X ) )
% 0.94/1.54 ) }.
% 0.94/1.54 { ! class_Rings_Oring( X ), ! c_Groups_Oplus__class_Oplus( X,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, W, U ), T ) =
% 0.94/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.94/1.54 , Y ), T = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes
% 0.94/1.54 ( X, c_Groups_Ominus__class_Ominus( X, Z, W ), U ), Y ) }.
% 0.94/1.54 { ! class_Rings_Oring( X ), ! T = c_Groups_Oplus__class_Oplus( X,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, Z, W
% 0.94/1.54 ), U ), Y ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, W, U ), T ) =
% 0.94/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.94/1.54 , Y ) }.
% 0.94/1.54 { ! class_Rings_Oring( X ), ! c_Groups_Oplus__class_Oplus( X,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, W, U ), T ) =
% 0.94/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.94/1.54 , Y ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.94/1.54 c_Groups_Ominus__class_Ominus( X, W, Z ), U ), T ) = Y }.
% 0.94/1.54 { ! class_Rings_Oring( X ), ! c_Groups_Oplus__class_Oplus( X,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, W, Z
% 0.94/1.54 ), U ), T ) = Y, c_Groups_Oplus__class_Oplus( X,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, W, U ), T ) =
% 0.94/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.94/1.54 , Y ) }.
% 0.94/1.54 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.94/1.54 , ! c_Groups_Otimes__class_Otimes( X, T, Y ) = Z, T =
% 0.94/1.54 c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.94/1.54 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.94/1.54 , ! T = c_Groups_Otimes__class_Otimes( X, Z, Y ),
% 0.94/1.54 c_Rings_Oinverse__class_Odivide( X, T, Y ) = Z }.
% 0.94/1.54 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.94/1.54 , ! c_Rings_Oinverse__class_Odivide( X, T, Y ) = Z, T =
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, Z, Y ) }.
% 0.94/1.54 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.94/1.54 , ! T = c_Groups_Otimes__class_Otimes( X, Z, Y ),
% 0.94/1.54 c_Rings_Oinverse__class_Odivide( X, T, Y ) = Z }.
% 0.94/1.54 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.94/1.54 , ! T = c_Rings_Oinverse__class_Odivide( X, Z, Y ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, T, Y ) = Z }.
% 0.94/1.54 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.94/1.54 , ! c_Groups_Otimes__class_Otimes( X, T, Y ) = Z, T =
% 0.94/1.54 c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.94/1.54 { ! class_Rings_Oring__1__no__zero__divisors( X ), !
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, Y, Y ) = c_Groups_Oone__class_Oone( X )
% 0.94/1.54 , Y = c_Groups_Oone__class_Oone( X ), Y = c_Groups_Ouminus__class_Ouminus
% 0.94/1.54 ( X, c_Groups_Oone__class_Oone( X ) ) }.
% 0.94/1.54 { ! class_Rings_Oring__1__no__zero__divisors( X ), ! Y =
% 0.94/1.54 c_Groups_Oone__class_Oone( X ), c_Groups_Otimes__class_Otimes( X, Y, Y )
% 0.94/1.54 = c_Groups_Oone__class_Oone( X ) }.
% 0.94/1.54 { ! class_Rings_Oring__1__no__zero__divisors( X ), ! Y =
% 0.94/1.54 c_Groups_Ouminus__class_Ouminus( X, c_Groups_Oone__class_Oone( X ) ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, Y, Y ) = c_Groups_Oone__class_Oone( X )
% 0.94/1.54 }.
% 0.94/1.54 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.94/1.54 , ! c_Rings_Oinverse__class_Odivide( X, Z, Y ) =
% 0.94/1.54 c_Groups_Oone__class_Oone( X ), Z = Y }.
% 0.94/1.54 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.94/1.54 , ! Z = Y, c_Rings_Oinverse__class_Odivide( X, Z, Y ) =
% 0.94/1.54 c_Groups_Oone__class_Oone( X ) }.
% 0.94/1.54 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.94/1.54 , c_Rings_Oinverse__class_Odivide( X, Y, Y ) = c_Groups_Oone__class_Oone
% 0.94/1.54 ( X ) }.
% 0.94/1.54 { ! class_Rings_Odivision__ring__inverse__zero( X ), ! Y =
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 0.94/1.54 Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.54 { ! class_Rings_Odivision__ring__inverse__zero( X ), Y =
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 0.94/1.54 Y ) = c_Groups_Oone__class_Oone( X ) }.
% 0.94/1.54 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.94/1.54 , c_Groups_Oabs__class_Oabs( X, Z ), Y ), ! c_Orderings_Oord__class_Oless
% 0.94/1.54 ( X, c_Groups_Oabs__class_Oabs( X, U ), T ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X,
% 0.94/1.54 c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, U ) ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.94/1.54 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.94/1.54 , c_Groups_Ouminus__class_Ouminus( X, c_Rings_Oinverse__class_Odivide( X
% 0.94/1.54 , Z, Y ) ) = c_Rings_Oinverse__class_Odivide( X, Z,
% 0.94/1.54 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.94/1.54 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.94/1.54 , c_Rings_Oinverse__class_Odivide( X, c_Groups_Ouminus__class_Ouminus( X
% 0.94/1.54 , Z ), c_Groups_Ouminus__class_Ouminus( X, Y ) ) =
% 0.94/1.54 c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.94/1.54 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.94/1.54 , c_Groups_Oabs__class_Oabs( X, Z ), Y ), c_Orderings_Oord__class_Oless(
% 0.94/1.54 X, Z, Y ) }.
% 0.94/1.54 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.94/1.54 , c_Groups_Oabs__class_Oabs( X, Z ), Y ), c_Orderings_Oord__class_Oless(
% 0.94/1.54 X, c_Groups_Ouminus__class_Ouminus( X, Z ), Y ) }.
% 0.94/1.54 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.94/1.54 , Z, Y ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.54 c_Groups_Ouminus__class_Ouminus( X, Z ), Y ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Oabs__class_Oabs( X, Z ), Y )
% 0.94/1.54 }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Oone__class_Oone(
% 0.94/1.54 tc_Int_Oint ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Oplus__class_Oplus(
% 0.94/1.54 tc_Int_Oint, X, Y ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Otimes__class_Otimes
% 0.94/1.54 ( tc_Int_Oint, X, Y ) ) }.
% 0.94/1.54 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, T
% 0.94/1.54 , Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.94/1.54 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, T
% 0.94/1.54 , Z ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.94/1.54 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.94/1.54 ), c_Groups_Otimes__class_Otimes( X, T, Y ) ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.94/1.54 ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.94/1.54 { ! class_Rings_Olinordered__semiring( X ), ! c_Orderings_Oord__class_Oless
% 0.94/1.54 ( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, T, Y ) ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.94/1.54 ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.94/1.54 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.94/1.54 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.94/1.54 ), c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.94/1.54 { ! class_Rings_Olinordered__semiring( X ), ! c_Orderings_Oord__class_Oless
% 0.94/1.54 ( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, Y, Z ) ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.94/1.54 ), c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.94/1.54 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, U, T ), ! c_Orderings_Oord__class_Oless
% 0.94/1.54 ( X, c_Groups_Ozero__class_Ozero( X ), Z ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), U
% 0.94/1.54 ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.94/1.54 , U ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.94/1.54 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, Z, Y ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, U, T ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.94/1.54 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.54 , U ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X
% 0.94/1.54 , Z, U ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.94/1.54 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.94/1.54 ( X, U, T ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ), Z ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), U
% 0.94/1.54 ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.94/1.54 , U ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.94/1.54 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.94/1.54 ( X, U, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), U
% 0.94/1.54 ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.94/1.54 , U ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.94/1.54 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.94/1.54 ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.94/1.54 , Y, T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.94/1.54 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.94/1.54 ! c_Orderings_Oord__class_Oless__eq( X, Z, T ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Y
% 0.94/1.54 , T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.94/1.54 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.94/1.54 ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.94/1.54 , Y, T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, T, Z ) }.
% 0.94/1.54 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.94/1.54 ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Y
% 0.94/1.54 , T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.94/1.54 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq
% 0.94/1.54 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.94/1.54 ), ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Oone__class_Oone
% 0.94/1.54 ( X ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, Y, Z ), Y ) }.
% 0.94/1.54 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq
% 0.94/1.54 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.94/1.54 ), ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Oone__class_Oone
% 0.94/1.54 ( X ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, Z, Y ), Y ) }.
% 0.94/1.54 { ! class_Rings_Olinordered__semidom( X ), c_Orderings_Oord__class_Oless( X
% 0.94/1.54 , c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.54 c_Groups_Oone__class_Oone( X ), c_Groups_Oone__class_Oone( X ) ) ) }.
% 0.94/1.54 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.54 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W, U
% 0.94/1.54 ), T ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 0.94/1.54 , Z, U ), Y ) ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.94/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.94/1.54 c_Groups_Ominus__class_Ominus( X, Z, W ), U ), Y ) ) }.
% 0.94/1.54 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.54 , T, c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.94/1.54 c_Groups_Ominus__class_Ominus( X, Z, W ), U ), Y ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, W, U ), T ),
% 0.94/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.94/1.54 , Y ) ) }.
% 0.94/1.54 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.54 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W, U
% 0.94/1.54 ), T ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 0.94/1.54 , Z, U ), Y ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.94/1.54 c_Groups_Ominus__class_Ominus( X, W, Z ), U ), T ), Y ) }.
% 0.94/1.54 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.94/1.54 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.94/1.54 c_Groups_Ominus__class_Ominus( X, W, Z ), U ), T ), Y ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, W, U ), T ),
% 0.94/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.94/1.54 , Y ) ) }.
% 0.94/1.54 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W, U )
% 0.94/1.54 , T ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.94/1.54 Z, U ), Y ) ), c_Orderings_Oord__class_Oless( X, T,
% 0.94/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.94/1.54 c_Groups_Ominus__class_Ominus( X, Z, W ), U ), Y ) ) }.
% 0.94/1.54 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless( X, T
% 0.94/1.54 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.94/1.54 c_Groups_Ominus__class_Ominus( X, Z, W ), U ), Y ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, W, U ), T ),
% 0.94/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.94/1.54 , Y ) ) }.
% 0.94/1.54 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W, U )
% 0.94/1.54 , T ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.94/1.54 Z, U ), Y ) ), c_Orderings_Oord__class_Oless( X,
% 0.94/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.94/1.54 c_Groups_Ominus__class_Ominus( X, W, Z ), U ), T ), Y ) }.
% 0.94/1.54 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.94/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.94/1.54 c_Groups_Ominus__class_Ominus( X, W, Z ), U ), T ), Y ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, W, U ), T ),
% 0.94/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.94/1.54 , Y ) ) }.
% 0.94/1.54 { ! class_Rings_Oordered__ring__abs( X ), alpha103( X, Z ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.94/1.54 ), c_Groups_Oabs__class_Oabs( X, c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.94/1.54 ) ) = c_Groups_Otimes__class_Otimes( X, c_Groups_Oabs__class_Oabs( X, Z
% 0.94/1.54 ), c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.94/1.54 { ! class_Rings_Oordered__ring__abs( X ), alpha103( X, Z ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.94/1.54 ), c_Groups_Oabs__class_Oabs( X, c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.94/1.54 ) ) = c_Groups_Otimes__class_Otimes( X, c_Groups_Oabs__class_Oabs( X, Z
% 0.94/1.54 ), c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.94/1.54 { ! alpha103( X, Y ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.94/1.54 { ! alpha103( X, Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.94/1.54 ), c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero
% 0.94/1.54 ( X ) ), alpha103( X, Y ) }.
% 0.94/1.54 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq
% 0.94/1.54 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), c_Groups_Otimes__class_Otimes
% 0.94/1.54 ( X, c_Groups_Oabs__class_Oabs( X, Z ), Y ) = c_Groups_Oabs__class_Oabs(
% 0.94/1.54 X, c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.94/1.54 { ! class_Rings_Olinordered__semiring__1( X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, T, Y ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), U
% 0.94/1.54 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.94/1.54 X ), W ), ! c_Groups_Oplus__class_Oplus( X, U, W ) =
% 0.94/1.54 c_Groups_Oone__class_Oone( X ), c_Orderings_Oord__class_Oless__eq( X,
% 0.94/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, U, Z )
% 0.94/1.54 , c_Groups_Otimes__class_Otimes( X, W, T ) ), Y ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit1( c_Int_OBit1(
% 0.94/1.54 c_Int_OPls ) ) ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.94/1.54 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), T ),
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.94/1.54 tc_Nat_Onat, Y, U ), Z ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.94/1.54 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), T )
% 0.94/1.54 , Z ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.94/1.54 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), T ), Z ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.94/1.54 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), T ),
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.94/1.54 tc_Nat_Onat, Y, U ), Z ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.94/1.54 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, U ), T ),
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.94/1.54 tc_Nat_Onat, X, U ), Z ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, T
% 0.94/1.54 , c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes
% 0.94/1.54 ( tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), Z
% 0.94/1.54 ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, T,
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.94/1.54 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), Z )
% 0.94/1.54 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.94/1.54 tc_Nat_Onat, Y, U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), Z ) ) }.
% 0.94/1.54 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ), Z =
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y = X }.
% 0.94/1.54 { ! Z = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) }.
% 0.94/1.54 { ! Y = X, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) }.
% 0.94/1.54 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.94/1.54 tc_Nat_Onat, T, Z ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, Z ), X ) ) =
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.94/1.54 tc_Nat_Onat, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, T, Y ), Z ), X ) }
% 0.94/1.54 .
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.94/1.54 ( tc_Nat_Onat ), X ), ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z
% 0.94/1.54 ) = c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ), Z = Y }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.94/1.54 ( tc_Nat_Onat ), X ), ! Z = Y, c_Groups_Otimes__class_Otimes( tc_Nat_Onat
% 0.94/1.54 , X, Z ) = c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.94/1.54 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.94/1.54 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y
% 0.94/1.54 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.94/1.54 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, Y ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.94/1.54 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z
% 0.94/1.54 , Y ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.94/1.54 tc_Nat_Onat, Y, U ), T ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), Z ), T =
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.94/1.54 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), Z )
% 0.94/1.54 }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), ! T =
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.94/1.54 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), Z )
% 0.94/1.54 , c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes
% 0.94/1.54 ( tc_Nat_Onat, Y, U ), T ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), Z ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.94/1.54 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, U ), T ),
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.94/1.54 tc_Nat_Onat, X, U ), Z ) ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.94/1.54 T, c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.94/1.54 ( tc_Nat_Onat, X, Y ), U ), Z ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.94/1.54 tc_Nat_Onat, Y, U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), Z ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T,
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.94/1.54 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), Z )
% 0.94/1.54 ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T,
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.94/1.54 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), Z )
% 0.94/1.54 ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.94/1.54 tc_Nat_Onat, Y, U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), Z ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.94/1.54 tc_Nat_Onat, X, U ), T ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, U ), Z ),
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.94/1.54 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), T )
% 0.94/1.54 = Z }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.94/1.54 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), T )
% 0.94/1.54 = Z, c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), T ) =
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.94/1.54 tc_Nat_Onat, Y, U ), Z ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.94/1.54 tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, U ), T ),
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.94/1.54 tc_Nat_Onat, Y, U ), Z ) ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.94/1.54 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), T )
% 0.94/1.54 , Z ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.94/1.54 tc_Nat_Onat, X, U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, U ), Z ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.94/1.54 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), T )
% 0.94/1.54 , Z ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.94/1.54 tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), U ), T )
% 0.94/1.54 , Z ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.94/1.54 tc_Nat_Onat, X, U ), T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, U ), Z ) ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.94/1.54 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Complex_Ocomplex, Y, X ) ),
% 0.94/1.54 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, Y ) ),
% 0.94/1.54 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, skol28, X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.54 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, v_g____( hAPP(
% 0.94/1.54 v_f____, X ) ), v_z____ ) ), v_d____ ) }.
% 0.94/1.54 { c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, Y, X ) =
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Complex_Ocomplex, Y,
% 0.94/1.54 c_Groups_Ouminus__class_Ouminus( tc_Complex_Ocomplex, X ) ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.54 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.94/1.54 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ) ),
% 0.94/1.54 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ) ) }.
% 0.94/1.54 { ! class_Rings_Ocomm__ring__1( X ), c_Groups_Ominus__class_Ominus( X, Z, Y
% 0.94/1.54 ) = c_Groups_Oplus__class_Oplus( X, Z, c_Groups_Ouminus__class_Ouminus(
% 0.94/1.54 X, Y ) ) }.
% 0.94/1.54 { ! class_Rings_Ocomm__ring__1( X ), c_Groups_Ouminus__class_Ouminus( X, Y
% 0.94/1.54 ) = c_Groups_Otimes__class_Otimes( X, c_Groups_Ouminus__class_Ouminus( X
% 0.94/1.54 , c_Groups_Oone__class_Oone( X ) ), Y ) }.
% 0.94/1.54 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.94/1.54 Z, Y ) = c_Groups_Otimes__class_Otimes( X, Y, Z ) }.
% 0.94/1.54 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.94/1.54 T, c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, Z, c_Groups_Otimes__class_Otimes( X, T
% 0.94/1.54 , Y ) ) }.
% 0.94/1.54 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.94/1.54 T, c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.94/1.54 ), Y ) }.
% 0.94/1.54 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) =
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Otimes__class_Otimes( X, Z
% 0.94/1.54 , Y ) ) }.
% 0.94/1.54 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) =
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X, T, Y
% 0.94/1.54 ), Z ) }.
% 0.94/1.54 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.94/1.54 X, Z, Y ) ) = c_Groups_Otimes__class_Otimes( X, U,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Otimes__class_Otimes( X, Z
% 0.94/1.54 , Y ) ) ) }.
% 0.94/1.54 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.94/1.54 X, Z, Y ) ) = c_Groups_Otimes__class_Otimes( X, Z,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X, U, T
% 0.94/1.54 ), Y ) ) }.
% 0.94/1.54 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.94/1.54 X, Z, Y ) ) = c_Groups_Otimes__class_Otimes( X,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, U, Z ), c_Groups_Otimes__class_Otimes(
% 0.94/1.54 X, T, Y ) ) }.
% 0.94/1.54 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.54 c_Groups_Oplus__class_Oplus( X, U, T ), c_Groups_Oplus__class_Oplus( X, Z
% 0.94/1.54 , Y ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Oplus__class_Oplus( X
% 0.94/1.54 , U, Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.94/1.54 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.54 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.94/1.54 ( X, c_Groups_Oplus__class_Oplus( X, T, Y ), Z ) }.
% 0.94/1.54 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.54 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.94/1.54 ( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y ) ) }.
% 0.94/1.54 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, T
% 0.94/1.54 , c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus
% 0.94/1.54 ( X, c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) }.
% 0.94/1.54 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, T
% 0.94/1.54 , c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus
% 0.94/1.54 ( X, Z, c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.94/1.54 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, Z
% 0.94/1.54 , Y ) = c_Groups_Oplus__class_Oplus( X, Y, Z ) }.
% 0.94/1.54 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.94/1.54 Y, c_Groups_Ozero__class_Ozero( X ) ) = c_Groups_Ozero__class_Ozero( X )
% 0.94/1.54 }.
% 0.94/1.54 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.94/1.54 }.
% 0.94/1.54 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.94/1.54 ( X ), ! Z = c_Groups_Oplus__class_Oplus( X, Z, Y ), Y =
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.54 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.94/1.54 ( X ), ! Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.94/1.54 c_Groups_Oplus__class_Oplus( X, Z, Y ) }.
% 0.94/1.54 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, Y
% 0.94/1.54 , c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.94/1.54 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ), Y ) = Y }.
% 0.94/1.54 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.94/1.54 T, c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus
% 0.94/1.54 ( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.94/1.54 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.94/1.54 ( X ), U = T, Z = Y, ! c_Groups_Oplus__class_Oplus( X,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, U, Z ), c_Groups_Otimes__class_Otimes(
% 0.94/1.54 X, T, Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, U, Y ), c_Groups_Otimes__class_Otimes(
% 0.94/1.54 X, T, Z ) ) }.
% 0.94/1.54 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.94/1.54 ( X ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.94/1.54 U, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) =
% 0.94/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, U, Y )
% 0.94/1.54 , c_Groups_Otimes__class_Otimes( X, T, Z ) ), ! U = T }.
% 0.94/1.54 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.94/1.54 ( X ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.94/1.54 U, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) =
% 0.94/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, U, Y )
% 0.94/1.54 , c_Groups_Otimes__class_Otimes( X, T, Z ) ), ! Z = Y }.
% 0.94/1.54 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.94/1.54 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.94/1.54 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.94/1.54 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, T, Z ), c_Groups_Otimes__class_Otimes(
% 0.94/1.54 X, Y, Z ) ) = c_Groups_Otimes__class_Otimes( X,
% 0.94/1.54 c_Groups_Oplus__class_Oplus( X, T, Y ), Z ) }.
% 0.94/1.54 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.94/1.54 ( X ), ! c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 0.94/1.54 , U, T ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.94/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, U, Y )
% 0.94/1.54 , c_Groups_Otimes__class_Otimes( X, Z, T ) ), U = Z, T = Y }.
% 0.94/1.54 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.94/1.54 ( X ), ! U = Z, c_Groups_Oplus__class_Oplus( X,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.94/1.54 X, Z, Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, U, Y ), c_Groups_Otimes__class_Otimes(
% 0.94/1.54 X, Z, T ) ) }.
% 0.94/1.54 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.94/1.54 ( X ), ! T = Y, c_Groups_Oplus__class_Oplus( X,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.94/1.54 X, Z, Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, U, Y ), c_Groups_Otimes__class_Otimes(
% 0.94/1.54 X, Z, T ) ) }.
% 0.94/1.54 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.94/1.54 Y, c_Groups_Oone__class_Oone( X ) ) = Y }.
% 0.94/1.54 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.94/1.54 c_Groups_Oone__class_Oone( X ), Y ) = Y }.
% 0.94/1.54 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.94/1.54 ( X ), Y = c_Groups_Ozero__class_Ozero( X ), ! W = U, T = Z, !
% 0.94/1.54 c_Groups_Oplus__class_Oplus( X, W, c_Groups_Otimes__class_Otimes( X, Y, T
% 0.94/1.54 ) ) = c_Groups_Oplus__class_Oplus( X, U, c_Groups_Otimes__class_Otimes(
% 0.94/1.54 X, Y, Z ) ) }.
% 0.94/1.54 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, Z, Y ), Y ) =
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.94/1.54 c_Groups_Oone__class_Oone( X ) ), Y ) }.
% 0.94/1.54 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, Z
% 0.94/1.54 , c_Groups_Otimes__class_Otimes( X, Y, Z ) ) =
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, Y,
% 0.94/1.54 c_Groups_Oone__class_Oone( X ) ), Z ) }.
% 0.94/1.54 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, Y
% 0.94/1.54 , Y ) = c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X
% 0.94/1.54 , c_Groups_Oone__class_Oone( X ), c_Groups_Oone__class_Oone( X ) ), Y ) }
% 0.94/1.54 .
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.54 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ),
% 0.94/1.54 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.54 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Y ),
% 0.94/1.54 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Transcendental_Oarctan(
% 0.94/1.54 X ), c_Transcendental_Oarctan( Y ) ) = c_Transcendental_Oarctan(
% 0.94/1.54 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, X, Y ),
% 0.94/1.54 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.94/1.54 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ),
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) ) ) ) }.
% 0.94/1.54 { ! class_Int_Onumber__ring( X ), ! c_Int_Onumber__class_Onumber__of( X, Y
% 0.94/1.54 ) = c_Groups_Oone__class_Oone( X ), c_Int_Oiszero( X,
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.94/1.54 tc_Int_Oint, Y, c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Int_OBit1
% 0.94/1.54 ( c_Int_OPls ) ) ) ) ) }.
% 0.94/1.54 { ! class_Int_Onumber__ring( X ), ! c_Int_Oiszero( X,
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.94/1.54 tc_Int_Oint, Y, c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Int_OBit1
% 0.94/1.54 ( c_Int_OPls ) ) ) ) ), c_Int_Onumber__class_Onumber__of( X, Y ) =
% 0.94/1.54 c_Groups_Oone__class_Oone( X ) }.
% 0.94/1.54 { c_Transcendental_Oarctan( c_Groups_Ouminus__class_Ouminus(
% 0.94/1.54 tc_RealDef_Oreal, X ) ) = c_Groups_Ouminus__class_Ouminus(
% 0.94/1.54 tc_RealDef_Oreal, c_Transcendental_Oarctan( X ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.94/1.54 c_Transcendental_Oarctan( Y ), c_Transcendental_Oarctan( X ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_Transcendental_Oarctan
% 0.94/1.54 ( Y ), c_Transcendental_Oarctan( X ) ) }.
% 0.94/1.54 { c_Transcendental_Oarctan( c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal )
% 0.94/1.54 ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.94/1.54 { ! class_Rings_Osemiring__1( X ), c_Int_Oiszero( X,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.94/1.54 { ! class_Rings_Osemiring__1( X ), ! c_Int_Oiszero( X, Y ), Y =
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.54 { ! class_Rings_Osemiring__1( X ), ! Y = c_Groups_Ozero__class_Ozero( X ),
% 0.94/1.54 c_Int_Oiszero( X, Y ) }.
% 0.94/1.54 { ! class_Rings_Osemiring__1( X ), ! c_Int_Oiszero( X,
% 0.94/1.54 c_Groups_Oone__class_Oone( X ) ) }.
% 0.94/1.54 { ! class_Int_Onumber__ring( X ), ! class_Int_Oring__char__0( X ), !
% 0.94/1.54 c_Int_Oiszero( X, c_Int_Onumber__class_Onumber__of( X, c_Int_OBit1( Y ) )
% 0.94/1.54 ) }.
% 0.94/1.54 { ! class_Int_Onumber__ring( X ), c_Int_Oiszero( X,
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( X, c_Int_OPls ) ) }.
% 0.94/1.54 { ! class_Int_Onumber__ring( X ), ! class_Int_Oring__char__0( X ), !
% 0.94/1.54 c_Int_Oiszero( X, c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( Y ) )
% 0.94/1.54 ), c_Int_Oiszero( X, c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.94/1.54 { ! class_Int_Onumber__ring( X ), ! class_Int_Oring__char__0( X ), !
% 0.94/1.54 c_Int_Oiszero( X, c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.94/1.54 c_Int_Oiszero( X, c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( Y ) )
% 0.94/1.54 ) }.
% 0.94/1.54 { ! class_Int_Onumber__ring( X ), ! c_Int_Oiszero( X,
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit1( c_Int_OPls ) ) ) }.
% 0.94/1.54 { ! class_Int_Onumber__ring( X ), ! c_Int_Onumber__class_Onumber__of( X, Z
% 0.94/1.54 ) = c_Int_Onumber__class_Onumber__of( X, Y ), c_Int_Oiszero( X,
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.94/1.54 tc_Int_Oint, Z, c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y ) ) ) ) }
% 0.94/1.54 .
% 0.94/1.54 { ! class_Int_Onumber__ring( X ), ! c_Int_Oiszero( X,
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.94/1.54 tc_Int_Oint, Z, c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y ) ) ) ),
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( X, Z ) =
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( X, Y ) }.
% 0.94/1.54 { ! class_Int_Onumber__ring( X ), ! c_Int_Onumber__class_Onumber__of( X, Y
% 0.94/1.54 ) = c_Groups_Ozero__class_Ozero( X ), c_Int_Oiszero( X,
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.94/1.54 tc_Int_Oint, Y, c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Int_OPls
% 0.94/1.54 ) ) ) ) }.
% 0.94/1.54 { ! class_Int_Onumber__ring( X ), ! c_Int_Oiszero( X,
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.94/1.54 tc_Int_Oint, Y, c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Int_OPls
% 0.94/1.54 ) ) ) ), c_Int_Onumber__class_Onumber__of( X, Y ) =
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.54 { ! class_Int_Onumber__ring( X ), ! c_Groups_Ozero__class_Ozero( X ) =
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( X, Y ), c_Int_Oiszero( X,
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.94/1.54 tc_Int_Oint, c_Int_OPls, c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y
% 0.94/1.54 ) ) ) ) }.
% 0.94/1.54 { ! class_Int_Onumber__ring( X ), ! c_Int_Oiszero( X,
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.94/1.54 tc_Int_Oint, c_Int_OPls, c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y
% 0.94/1.54 ) ) ) ), c_Groups_Ozero__class_Ozero( X ) =
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( X, Y ) }.
% 0.94/1.54 { ! class_Int_Onumber__ring( X ), ! c_Groups_Oone__class_Oone( X ) =
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( X, Y ), c_Int_Oiszero( X,
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.94/1.54 tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), c_Groups_Ouminus__class_Ouminus(
% 0.94/1.54 tc_Int_Oint, Y ) ) ) ) }.
% 0.94/1.54 { ! class_Int_Onumber__ring( X ), ! c_Int_Oiszero( X,
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.94/1.54 tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), c_Groups_Ouminus__class_Ouminus(
% 0.94/1.54 tc_Int_Oint, Y ) ) ) ), c_Groups_Oone__class_Oone( X ) =
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( X, Y ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ) ),
% 0.94/1.54 c_Divides_Odiv__class_Omod( tc_Int_Oint, c_Int_Onumber__class_Onumber__of
% 0.94/1.54 ( tc_Int_Oint, c_Int_OBit1( X ) ), c_Int_Onumber__class_Onumber__of(
% 0.94/1.54 tc_Int_Oint, c_Int_OBit0( Y ) ) ) = c_Groups_Oplus__class_Oplus(
% 0.94/1.54 tc_Int_Oint, c_Groups_Otimes__class_Otimes( tc_Int_Oint,
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.54 c_Int_OPls ) ) ), c_Divides_Odiv__class_Omod( tc_Int_Oint,
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ),
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ) ) ),
% 0.94/1.54 c_Groups_Oone__class_Oone( tc_Int_Oint ) ) }.
% 0.94/1.54 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ) ),
% 0.94/1.54 c_Divides_Odiv__class_Omod( tc_Int_Oint, c_Int_Onumber__class_Onumber__of
% 0.94/1.54 ( tc_Int_Oint, c_Int_OBit1( X ) ), c_Int_Onumber__class_Onumber__of(
% 0.94/1.54 tc_Int_Oint, c_Int_OBit0( Y ) ) ) = c_Groups_Ominus__class_Ominus(
% 0.94/1.54 tc_Int_Oint, c_Groups_Otimes__class_Otimes( tc_Int_Oint,
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.54 c_Int_OPls ) ) ), c_Divides_Odiv__class_Omod( tc_Int_Oint,
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ),
% 0.94/1.54 c_Groups_Oone__class_Oone( tc_Int_Oint ) ),
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ) ) ),
% 0.94/1.54 c_Groups_Oone__class_Oone( tc_Int_Oint ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), c_Divides_Odiv__class_Omod
% 0.94/1.54 ( tc_Int_Oint, c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.94/1.54 c_Groups_Oone__class_Oone( tc_Int_Oint ), c_Groups_Otimes__class_Otimes(
% 0.94/1.54 tc_Int_Oint, c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit0(
% 0.94/1.54 c_Int_OBit1( c_Int_OPls ) ) ), Y ) ), c_Groups_Otimes__class_Otimes(
% 0.94/1.54 tc_Int_Oint, c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit0(
% 0.94/1.54 c_Int_OBit1( c_Int_OPls ) ) ), X ) ) = c_Groups_Ominus__class_Ominus(
% 0.94/1.54 tc_Int_Oint, c_Groups_Otimes__class_Otimes( tc_Int_Oint,
% 0.94/1.54 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit0( c_Int_OBit1(
% 0.94/1.54 c_Int_OPls ) ) ), c_Divides_Odiv__class_Omod( tc_Int_Oint,
% 0.94/1.54 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, c_Groups_Oone__class_Oone(
% 0.94/1.54 tc_Int_Oint ) ), X ) ), c_Groups_Oone__class_Oone( tc_Int_Oint ) ) }.
% 0.94/1.54 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X, Y,
% 0.94/1.54 c_Groups_Oone__class_Oone( X ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.54 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.94/1.54 }.
% 0.94/1.54 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X, Y,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.94/1.54 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X, Y, Y
% 0.94/1.54 ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.94/1.54 { c_Divides_Odiv__class_Omod( tc_Int_Oint, X, X ) =
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.94/1.54 { c_Divides_Odiv__class_Omod( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.94/1.54 tc_Int_Oint ), X ) = c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Divides_Odiv__class_Omod(
% 0.94/1.54 tc_Int_Oint, X, Y ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ),
% 0.94/1.54 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.94/1.54 c_Divides_Odiv__class_Omod( tc_Int_Oint, X, Y ), X ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.94/1.54 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.94/1.54 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Divides_Odiv__class_Omod
% 0.94/1.54 ( tc_Int_Oint, Y, X ) ) }.
% 0.94/1.54 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.94/1.54 ( tc_Int_Oint ), X ), c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.94/1.54 c_Divides_Odiv__class_Omod( tc_Int_Oint, Y, X ), X ) }.
% 0.94/1.54 { ! class_Divides_Oring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.94/1.54 c_Groups_Ominus__class_Ominus( X, T, Z ), Y ) =
% 0.94/1.54 c_Divides_Odiv__class_Omod( X, c_Groups_Ominus__class_Ominus( X, T,
% 0.94/1.54 c_Divides_Odiv__class_Omod( X, Z, Y ) ), Y ) }.
% 0.94/1.54 { ! class_Divides_Oring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.94/1.54 c_Groups_Ominus__class_Ominus( X, T, Z ), Y ) =
% 0.94/1.54 c_Divides_Odiv__class_Omod( X, c_Groups_Ominus__class_Ominus( X,
% 0.94/1.54 c_Divides_Odiv__class_Omod( X, T, Y ), Z ), Y ) }.
% 0.94/1.54 { ! class_Divides_Oring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.94/1.54 c_Groups_Ominus__class_Ominus( X, T, Z ), Y ) =
% 0.94/1.54 c_Divides_Odiv__class_Omod( X, c_Groups_Ominus__class_Ominus( X,
% 0.94/1.54 c_Divides_Odiv__class_Omod( X, T, Y ), c_Divides_Odiv__class_Omod( X, Z,
% 0.94/1.54 Y ) ), Y ) }.
% 0.94/1.54 { ! class_Divides_Oring__div( X ), ! c_Divides_Odiv__class_Omod( X, T, Z )
% 0.94/1.54 = c_Divides_Odiv__class_Omod( X, Y, Z ), ! c_Divides_Odiv__class_Omod( X
% 0.94/1.54 , W, Z ) = c_Divides_Odiv__class_Omod( X, U, Z ),
% 0.94/1.54 c_Divides_Odiv__class_Omod( X, c_Groups_Ominus__class_Ominus( X, T, W ),
% 0.94/1.54 Z ) = c_Divides_Odiv__class_Omod( X, c_Groups_Ominus__class_Ominus( X, Y
% 0.94/1.54 , U ), Z ) }.
% 0.94/1.54 { c_Divides_Odiv__class_Omod( tc_Int_Oint, c_Groups_Ominus__class_Ominus(
% 0.94/1.54 tc_Int_Oint, c_Divides_Odiv__class_Omod( tc_Int_Oint, Z, Y ), X ), Y ) =
% 0.94/1.54 c_Divides_Odiv__class_Omod( tc_Int_Oint, c_Groups_Ominus__class_Ominus(
% 0.94/1.54 tc_Int_Oint, Z, X ), Y ) }.
% 0.94/1.54 { c_Divides_Odiv__class_Omod( tc_Int_Oint, c_Groups_Ominus__class_Ominus(
% 0.94/1.54 tc_Int_Oint, Z, c_Divides_Odiv__class_Omod( tc_Int_Oint, Y, X ) ), X ) =
% 0.94/1.54 c_Divides_Odiv__class_Omod( tc_Int_Oint, c_Groups_Ominus__class_Ominus(
% 0.94/1.54 tc_Int_Oint, Z, Y ), X ) }.
% 0.94/1.54 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.94/1.54 c_Divides_Odiv__class_Omod( X, Z, Y ), Y ) = c_Divides_Odiv__class_Omod(
% 0.94/1.54 X, Z, Y ) }.
% 0.94/1.54 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.94/1.54 c_Groups_Oplus__class_Oplus( X, Z, Y ), Y ) = c_Divides_Odiv__class_Omod
% 0.94/1.54 ( X, Z, Y ) }.
% 0.94/1.54 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.94/1.54 c_Groups_Oplus__class_Oplus( X, Z, Y ), Z ) = c_Divides_Odiv__class_Omod
% 0.94/1.54 ( X, Y, Z ) }.
% 0.94/1.54 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.94/1.54 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Divides_Odiv__class_Omod
% 0.94/1.54 ( X, c_Groups_Oplus__class_Oplus( X, T, c_Divides_Odiv__class_Omod( X, Z
% 0.94/1.54 , Y ) ), Y ) }.
% 0.94/1.54 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.94/1.54 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Divides_Odiv__class_Omod
% 0.94/1.54 ( X, c_Groups_Oplus__class_Oplus( X, c_Divides_Odiv__class_Omod( X, T, Y
% 0.94/1.54 ), Z ), Y ) }.
% 0.94/1.54 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.94/1.54 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Divides_Odiv__class_Omod
% 0.94/1.54 ( X, c_Groups_Oplus__class_Oplus( X, c_Divides_Odiv__class_Omod( X, T, Y
% 0.94/1.54 ), c_Divides_Odiv__class_Omod( X, Z, Y ) ), Y ) }.
% 0.94/1.54 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.94/1.54 c_Groups_Oplus__class_Oplus( X, T, c_Divides_Odiv__class_Omod( X, Z, Y )
% 0.94/1.54 ), Y ) = c_Divides_Odiv__class_Omod( X, c_Groups_Oplus__class_Oplus( X,
% 0.94/1.54 T, Z ), Y ) }.
% 0.94/1.54 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.94/1.54 c_Groups_Oplus__class_Oplus( X, c_Divides_Odiv__class_Omod( X, T, Z ), Y
% 0.94/1.54 ), Z ) = c_Divides_Odiv__class_Omod( X, c_Groups_Oplus__class_Oplus( X,
% 0.94/1.54 T, Y ), Z ) }.
% 0.94/1.54 { ! class_Divides_Osemiring__div( X ), ! c_Divides_Odiv__class_Omod( X, T,
% 0.94/1.54 Z ) = c_Divides_Odiv__class_Omod( X, Y, Z ), ! c_Divides_Odiv__class_Omod
% 0.94/1.54 ( X, W, Z ) = c_Divides_Odiv__class_Omod( X, U, Z ),
% 0.94/1.54 c_Divides_Odiv__class_Omod( X, c_Groups_Oplus__class_Oplus( X, T, W ), Z
% 0.94/1.54 ) = c_Divides_Odiv__class_Omod( X, c_Groups_Oplus__class_Oplus( X, Y, U
% 0.94/1.54 ), Z ) }.
% 0.94/1.54 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.94/1.54 c_Groups_Oplus__class_Oplus( X, T, c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.94/1.54 ) ), Z ) = c_Divides_Odiv__class_Omod( X, T, Z ) }.
% 0.94/1.54 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.94/1.54 c_Groups_Oplus__class_Oplus( X, T, c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.94/1.54 ) ), Y ) = c_Divides_Odiv__class_Omod( X, T, Y ) }.
% 0.94/1.54 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) =
% 0.94/1.54 c_Divides_Odiv__class_Omod( X, c_Groups_Otimes__class_Otimes( X, T,
% 0.94/1.54 c_Divides_Odiv__class_Omod( X, Z, Y ) ), Y ) }.
% 0.94/1.54 { c_Divides_Odiv__class_Omod( tc_Int_Oint, c_Groups_Otimes__class_Otimes(
% 0.94/1.54 tc_Int_Oint, Z, Y ), X ) = c_Divides_Odiv__class_Omod( tc_Int_Oint,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, c_Divides_Odiv__class_Omod
% 0.94/1.54 ( tc_Int_Oint, Y, X ) ), X ) }.
% 0.94/1.54 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) =
% 0.94/1.54 c_Divides_Odiv__class_Omod( X, c_Groups_Otimes__class_Otimes( X,
% 0.94/1.54 c_Divides_Odiv__class_Omod( X, T, Y ), Z ), Y ) }.
% 0.94/1.54 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) =
% 0.94/1.54 c_Divides_Odiv__class_Omod( X, c_Groups_Otimes__class_Otimes( X,
% 0.94/1.54 c_Divides_Odiv__class_Omod( X, T, Y ), c_Divides_Odiv__class_Omod( X, Z,
% 0.94/1.54 Y ) ), Y ) }.
% 0.94/1.54 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, T, Z ), c_Groups_Otimes__class_Otimes(
% 0.94/1.54 X, T, Y ) ) = c_Groups_Otimes__class_Otimes( X, T,
% 0.94/1.54 c_Divides_Odiv__class_Omod( X, Z, Y ) ) }.
% 0.94/1.54 { ! class_Divides_Osemiring__div( X ), c_Divides_Odiv__class_Omod( X,
% 0.94/1.54 c_Groups_Otimes__class_Otimes( X, T, Z ), c_Groups_Otimes__class_Otimes(
% 0.94/1.54 X, Y, Z ) ) = c_Groups_Otimes__class_Otimes( X,
% 0.94/1.54 c_Divides_Odiv__class_Omod( X, T, Y ), Z ) }.
% 0.94/1.54 { c_Divides_Odiv__class_Omod( tc_Int_Oint, c_Groups_Otimes__class_Otimes(
% 0.94/1.54 tc_Int_Oint, Z, c_Divides_Odiv__class_Omod( tc_Int_Oint, Y, X ) ), X ) =
% 0.94/1.54 c_Divides_Odiv__class_Omod( tc_Int_Oint, c_Groups_Otimes__class_Otimes(
% 0.94/1.54 tc_Int_Oint, Z, Y ), X ) }.
% 0.94/1.54 { class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(
% 0.94/1.54 tc_Int_Oint ) }.
% 0.94/1.54 { class_Groups_Oordered__cancel__ab__semigroup__add( tc_Int_Oint ) }.
% 0.94/1.54 { class_Groups_Oordered__ab__semigroup__add__imp__le( tc_Int_Oint ) }.
% 0.94/1.54 { class_Rings_Olinordered__comm__semiring__strict( tc_Int_Oint ) }.
% 0.94/1.54 { class_Rings_Olinordered__semiring__1__strict( tc_Int_Oint ) }.
% 0.94/1.54 { class_Rings_Olinordered__semiring__strict( tc_Int_Oint ) }.
% 0.94/1.54 { class_Groups_Oordered__ab__semigroup__add( tc_Int_Oint ) }.
% 0.94/1.54 { class_Groups_Oordered__ab__group__add__abs( tc_Int_Oint ) }.
% 0.94/1.54 { class_Groups_Oordered__comm__monoid__add( tc_Int_Oint ) }.
% 0.94/1.54 { class_Groups_Olinordered__ab__group__add( tc_Int_Oint ) }.
% 0.94/1.54 { class_Groups_Ocancel__ab__semigroup__add( tc_Int_Oint ) }.
% 0.94/1.54 { class_Rings_Oring__1__no__zero__divisors( tc_Int_Oint ) }.
% 0.94/1.54 { class_Rings_Oordered__cancel__semiring( tc_Int_Oint ) }.
% 0.94/1.54 { class_Rings_Olinordered__ring__strict( tc_Int_Oint ) }.
% 0.94/1.54 { class_Rings_Oring__no__zero__divisors( tc_Int_Oint ) }.
% 0.94/1.54 { class_Rings_Oordered__comm__semiring( tc_Int_Oint ) }.
% 0.94/1.54 { class_Rings_Olinordered__semiring__1( tc_Int_Oint ) }.
% 0.94/1.54 { class_Groups_Oordered__ab__group__add( tc_Int_Oint ) }.
% 0.94/1.54 { class_Groups_Ocancel__semigroup__add( tc_Int_Oint ) }.
% 0.94/1.54 { class_Rings_Olinordered__semiring( tc_Int_Oint ) }.
% 0.94/1.54 { class_Rings_Olinordered__semidom( tc_Int_Oint ) }.
% 0.94/1.54 { class_Groups_Oab__semigroup__mult( tc_Int_Oint ) }.
% 0.94/1.54 { class_Groups_Ocomm__monoid__mult( tc_Int_Oint ) }.
% 0.94/1.54 { class_Groups_Oab__semigroup__add( tc_Int_Oint ) }.
% 0.94/1.54 { class_Rings_Oordered__semiring( tc_Int_Oint ) }.
% 0.94/1.54 { class_Rings_Oordered__ring__abs( tc_Int_Oint ) }.
% 0.94/1.54 { class_Rings_Ono__zero__divisors( tc_Int_Oint ) }.
% 0.94/1.54 { class_Groups_Ocomm__monoid__add( tc_Int_Oint ) }.
% 0.94/1.54 { class_Rings_Olinordered__ring( tc_Int_Oint ) }.
% 0.94/1.54 { class_Rings_Olinordered__idom( tc_Int_Oint ) }.
% 0.94/1.54 { class_Rings_Ocomm__semiring__1( tc_Int_Oint ) }.
% 0.94/1.54 { class_Divides_Osemiring__div( tc_Int_Oint ) }.
% 0.94/1.54 { class_Rings_Ocomm__semiring( tc_Int_Oint ) }.
% 0.94/1.54 { class_Groups_Oab__group__add( tc_Int_Oint ) }.
% 0.94/1.54 { class_Rings_Ozero__neq__one( tc_Int_Oint ) }.
% 0.94/1.54 { class_Rings_Oordered__ring( tc_Int_Oint ) }.
% 0.94/1.54 { class_Orderings_Olinorder( tc_Int_Oint ) }.
% 0.94/1.54 { class_Groups_Omonoid__mult( tc_Int_Oint ) }.
% 0.94/1.54 { class_Rings_Ocomm__ring__1( tc_Int_Oint ) }.
% 0.94/1.54 { class_Groups_Omonoid__add( tc_Int_Oint ) }.
% 0.94/1.54 { class_Rings_Osemiring__1( tc_Int_Oint ) }.
% 0.94/1.54 { class_Groups_Ogroup__add( tc_Int_Oint ) }.
% 0.94/1.54 { class_Divides_Oring__div( tc_Int_Oint ) }.
% 0.94/1.54 { class_Rings_Omult__zero( tc_Int_Oint ) }.
% 0.94/1.54 { class_Int_Oring__char__0( tc_Int_Oint ) }.
% 0.94/1.54 { class_Int_Onumber__ring( tc_Int_Oint ) }.
% 0.94/1.54 { class_Rings_Osemiring( tc_Int_Oint ) }.
% 0.94/1.54 { class_Groups_Oabs__if( tc_Int_Oint ) }.
% 0.94/1.54 { class_Rings_Oring__1( tc_Int_Oint ) }.
% 0.94/1.54 { class_Groups_Ozero( tc_Int_Oint ) }.
% 0.94/1.54 { class_Rings_Oring( tc_Int_Oint ) }.
% 0.94/1.54 { class_Rings_Oidom( tc_Int_Oint ) }.
% 0.94/1.54 { class_Int_Onumber( tc_Int_Oint ) }.
% 0.94/1.54 { class_Groups_Oone( tc_Int_Oint ) }.
% 0.94/1.54 { class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(
% 0.94/1.54 tc_Nat_Onat ) }.
% 0.94/1.54 { class_Groups_Oordered__cancel__ab__semigroup__add( tc_Nat_Onat ) }.
% 0.94/1.54 { class_Groups_Oordered__ab__semigroup__add__imp__le( tc_Nat_Onat ) }.
% 0.94/1.55 { class_Rings_Olinordered__comm__semiring__strict( tc_Nat_Onat ) }.
% 0.94/1.55 { class_Rings_Olinordered__semiring__strict( tc_Nat_Onat ) }.
% 0.94/1.55 { class_Groups_Oordered__ab__semigroup__add( tc_Nat_Onat ) }.
% 0.94/1.55 { class_Groups_Oordered__comm__monoid__add( tc_Nat_Onat ) }.
% 0.94/1.55 { class_Groups_Ocancel__ab__semigroup__add( tc_Nat_Onat ) }.
% 0.94/1.55 { class_Rings_Oordered__cancel__semiring( tc_Nat_Onat ) }.
% 0.94/1.55 { class_Rings_Oordered__comm__semiring( tc_Nat_Onat ) }.
% 0.94/1.55 { class_Groups_Ocancel__semigroup__add( tc_Nat_Onat ) }.
% 0.94/1.55 { class_Rings_Olinordered__semiring( tc_Nat_Onat ) }.
% 0.94/1.55 { class_Rings_Olinordered__semidom( tc_Nat_Onat ) }.
% 0.94/1.55 { class_Groups_Oab__semigroup__mult( tc_Nat_Onat ) }.
% 0.94/1.55 { class_Groups_Ocomm__monoid__mult( tc_Nat_Onat ) }.
% 0.94/1.55 { class_Groups_Oab__semigroup__add( tc_Nat_Onat ) }.
% 0.94/1.55 { class_Rings_Oordered__semiring( tc_Nat_Onat ) }.
% 0.94/1.55 { class_Rings_Ono__zero__divisors( tc_Nat_Onat ) }.
% 0.94/1.55 { class_Groups_Ocomm__monoid__add( tc_Nat_Onat ) }.
% 0.94/1.55 { class_Rings_Ocomm__semiring__1( tc_Nat_Onat ) }.
% 0.94/1.55 { class_Divides_Osemiring__div( tc_Nat_Onat ) }.
% 0.94/1.55 { class_Rings_Ocomm__semiring( tc_Nat_Onat ) }.
% 0.94/1.55 { class_Rings_Ozero__neq__one( tc_Nat_Onat ) }.
% 0.94/1.55 { class_Orderings_Olinorder( tc_Nat_Onat ) }.
% 0.94/1.55 { class_Groups_Omonoid__mult( tc_Nat_Onat ) }.
% 0.94/1.55 { class_Groups_Omonoid__add( tc_Nat_Onat ) }.
% 0.94/1.55 { class_Rings_Osemiring__1( tc_Nat_Onat ) }.
% 0.94/1.55 { class_Rings_Omult__zero( tc_Nat_Onat ) }.
% 0.94/1.55 { class_Rings_Osemiring( tc_Nat_Onat ) }.
% 0.94/1.55 { class_Groups_Ozero( tc_Nat_Onat ) }.
% 0.94/1.55 { class_Int_Onumber( tc_Nat_Onat ) }.
% 0.94/1.55 { class_Groups_Oone( tc_Nat_Onat ) }.
% 0.94/1.55 { class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(
% 0.94/1.55 tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Groups_Oordered__cancel__ab__semigroup__add( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Groups_Oordered__ab__semigroup__add__imp__le( tc_RealDef_Oreal ) }
% 0.94/1.55 .
% 0.94/1.55 { class_Rings_Olinordered__comm__semiring__strict( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Fields_Olinordered__field__inverse__zero( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Rings_Olinordered__semiring__1__strict( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_RealVector_Oreal__normed__div__algebra( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Rings_Olinordered__semiring__strict( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Rings_Odivision__ring__inverse__zero( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_RealVector_Oreal__normed__algebra__1( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Groups_Oordered__ab__semigroup__add( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Groups_Oordered__ab__group__add__abs( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_RealVector_Oreal__normed__algebra( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Groups_Oordered__comm__monoid__add( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Groups_Olinordered__ab__group__add( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Groups_Ocancel__ab__semigroup__add( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Rings_Oring__1__no__zero__divisors( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Rings_Oordered__cancel__semiring( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_RealVector_Oreal__normed__vector( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Rings_Olinordered__ring__strict( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_RealVector_Oreal__normed__field( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Rings_Oring__no__zero__divisors( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Rings_Oordered__comm__semiring( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Rings_Olinordered__semiring__1( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Groups_Oordered__ab__group__add( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Groups_Ocancel__semigroup__add( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Rings_Olinordered__semiring( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Fields_Ofield__inverse__zero( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Rings_Olinordered__semidom( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Groups_Oab__semigroup__mult( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Groups_Ocomm__monoid__mult( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Groups_Oab__semigroup__add( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Fields_Olinordered__field( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Rings_Oordered__semiring( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Rings_Oordered__ring__abs( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Rings_Ono__zero__divisors( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Groups_Ocomm__monoid__add( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Rings_Olinordered__ring( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Rings_Olinordered__idom( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Rings_Ocomm__semiring__1( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_RealVector_Oreal__field( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Rings_Odivision__ring( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Rings_Ocomm__semiring( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Groups_Oab__group__add( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Rings_Ozero__neq__one( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Rings_Oordered__ring( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Orderings_Olinorder( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Groups_Omonoid__mult( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Rings_Ocomm__ring__1( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Groups_Omonoid__add( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Rings_Osemiring__1( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Groups_Ogroup__add( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Rings_Omult__zero( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Int_Oring__char__0( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Int_Onumber__ring( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Rings_Osemiring( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Groups_Oabs__if( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Rings_Oring__1( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Fields_Ofield( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Groups_Ozero( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Rings_Oring( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Rings_Oidom( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Int_Onumber( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Groups_Oone( tc_RealDef_Oreal ) }.
% 0.94/1.55 { class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(
% 0.94/1.55 tc_Complex_Ocomplex ) }.
% 0.94/1.55 { class_RealVector_Oreal__normed__div__algebra( tc_Complex_Ocomplex ) }.
% 0.94/1.55 { class_Rings_Odivision__ring__inverse__zero( tc_Complex_Ocomplex ) }.
% 0.94/1.55 { class_RealVector_Oreal__normed__algebra__1( tc_Complex_Ocomplex ) }.
% 0.94/1.55 { class_RealVector_Oreal__normed__algebra( tc_Complex_Ocomplex ) }.
% 0.94/1.55 { class_Groups_Ocancel__ab__semigroup__add( tc_Complex_Ocomplex ) }.
% 0.94/1.55 { class_Rings_Oring__1__no__zero__divisors( tc_Complex_Ocomplex ) }.
% 0.94/1.55 { class_RealVector_Oreal__normed__vector( tc_Complex_Ocomplex ) }.
% 0.94/1.55 { class_RealVector_Oreal__normed__field( tc_Complex_Ocomplex ) }.
% 0.94/1.55 { class_Rings_Oring__no__zero__divisors( tc_Complex_Ocomplex ) }.
% 0.94/1.55 { class_Groups_Ocancel__semigroup__add( tc_Complex_Ocomplex ) }.
% 0.94/1.55 { class_Fields_Ofield__inverse__zero( tc_Complex_Ocomplex ) }.
% 0.94/1.55 { class_Groups_Oab__semigroup__mult( tc_Complex_Ocomplex ) }.
% 0.94/1.55 { class_Groups_Ocomm__monoid__mult( tc_Complex_Ocomplex ) }.
% 0.94/1.55 { class_Groups_Oab__semigroup__add( tc_Complex_Ocomplex ) }.
% 0.94/1.55 { class_Rings_Ono__zero__divisors( tc_Complex_Ocomplex ) }.
% 0.94/1.55 { class_Groups_Ocomm__monoid__add( tc_Complex_Ocomplex ) }.
% 0.94/1.55 { class_Rings_Ocomm__semiring__1( tc_Complex_Ocomplex ) }.
% 0.94/1.55 { class_RealVector_Oreal__field( tc_Complex_Ocomplex ) }.
% 0.94/1.55 { class_Rings_Odivision__ring( tc_Complex_Ocomplex ) }.
% 0.94/1.55 { class_Rings_Ocomm__semiring( tc_Complex_Ocomplex ) }.
% 0.94/1.55 { class_Groups_Oab__group__add( tc_Complex_Ocomplex ) }.
% 0.94/1.55 { class_Rings_Ozero__neq__one( tc_Complex_Ocomplex ) }.
% 0.94/1.55 { class_Groups_Omonoid__mult( tc_Complex_Ocomplex ) }.
% 0.94/1.55 { class_Rings_Ocomm__ring__1( tc_Complex_Ocomplex ) }.
% 0.94/1.55 { class_Groups_Omonoid__add( tc_Complex_Ocomplex ) }.
% 0.94/1.55 { class_Rings_Osemiring__1( tc_Complex_Ocomplex ) }.
% 0.94/1.55 { class_Groups_Ogroup__add( tc_Complex_Ocomplex ) }.
% 0.94/1.55 { class_Rings_Omult__zero( tc_Complex_Ocomplex ) }.
% 0.94/1.55 { class_Int_Oring__char__0( tc_Complex_Ocomplex ) }.
% 0.94/1.55 { class_Int_Onumber__ring( tc_Complex_Ocomplex ) }.
% 0.94/1.55 { class_Rings_Osemiring( tc_Complex_Ocomplex ) }.
% 0.94/1.55 { class_Rings_Oring__1( tc_Complex_Ocomplex ) }.
% 0.94/1.55 { class_Fields_Ofield( tc_Complex_Ocomplex ) }.
% 0.94/1.55 { class_Groups_Ozero( tc_Complex_Ocomplex ) }.
% 0.94/1.55 { class_Rings_Oring( tc_Complex_Ocomplex ) }.
% 0.94/1.55 { class_Rings_Oidom( tc_Complex_Ocomplex ) }.
% 0.94/1.55 { class_Int_Onumber( tc_Complex_Ocomplex ) }.
% 0.94/1.55 { class_Groups_Oone( tc_Complex_Ocomplex ) }.
% 0.94/1.55 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.94/1.55 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.94/1.55 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.94/1.55 c_Int_OBit1( c_Int_OPls ) ) ), c_Groups_Oabs__class_Oabs(
% 0.94/1.55 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.94/1.55 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, c_Polynomial_Opoly
% 0.94/1.55 ( tc_Complex_Ocomplex, v_p, v_z____ ) ), c_Groups_Ouminus__class_Ouminus
% 0.94/1.55 ( tc_RealDef_Oreal, v_s____ ) ) ) ), c_RealDef_Oreal( tc_Nat_Onat,
% 0.94/1.55 c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat, v_N1____, v_N2____
% 0.94/1.55 ) ) ) ) }.
% 0.94/1.55
% 0.94/1.55 *** allocated 15000 integers for clauses
% 0.94/1.55 *** allocated 22500 integers for clauses
% 0.94/1.55 *** allocated 33750 integers for clauses
% 0.94/1.55 *** allocated 50625 integers for clauses
% 0.94/1.55 *** allocated 75937 integers for clauses
% 0.94/1.55 *** allocated 113905 integers for clauses
% 0.94/1.55 percentage equality = 0.228586, percentage horn = 0.904517
% 0.94/1.55 This is a problem with some equality
% 0.94/1.55
% 0.94/1.55
% 0.94/1.55
% 0.94/1.55 Options Used:
% 0.94/1.55
% 0.94/1.55 useres = 1
% 0.94/1.55 useparamod = 1
% 0.94/1.55 useeqrefl = 1
% 0.94/1.55 useeqfact = 1
% 0.94/1.55 usefactor = 1
% 0.94/1.55 usesimpsplitting = 0
% 0.94/1.55 usesimpdemod = 5
% 0.94/1.55 usesimpres = 3
% 0.94/1.55
% 0.94/1.55 resimpinuse = 1000
% 0.94/1.55 resimpclauses = 20000
% 0.94/1.55 substype = eqrewr
% 0.94/1.55 backwardsubs = 1
% 0.94/1.55 selectoldest = 5
% 0.94/1.55
% 0.94/1.55 litorderings [0] = split
% 0.94/1.55 litorderings [1] = extend the termordering, first sorting on arguments
% 0.94/1.55
% 0.94/1.55 termordering = kbo
% 0.94/1.55
% 0.94/1.55 litapriori = 0
% 0.94/1.55 termapriori = 1
% 0.94/1.55 litaposteriori = 0
% 0.94/1.55 termaposteriori = 0
% 0.94/1.55 demodaposteriori = 0
% 0.94/1.55 ordereqreflfact = 0
% 0.94/1.55
% 0.94/1.55 litselect = negord
% 0.94/1.55
% 0.94/1.55 maxweight = 15
% 0.94/1.55 maxdepth = 30000
% 0.94/1.55 maxlength = 115
% 0.94/1.55 maxnrvars = 195
% 0.94/1.55 excuselevel = 1
% 0.94/1.55 increasemaxweight = 1
% 0.94/1.55
% 0.94/1.55 maxselected = 10000000
% 0.94/1.55 maxnrclauses = 10000000
% 0.94/1.55
% 0.94/1.55 showgenerated = 0
% 0.94/1.55 showkept = 0
% 0.94/1.55 showselected = 0
% 0.94/1.55 showdeleted = 0
% 0.94/1.55 showresimp = 1
% 0.94/1.55 showstatus = 2000
% 0.94/1.55
% 0.94/1.55 prologoutput = 0
% 0.94/1.55 nrgoals = 5000000
% 0.94/1.55 totalproof = 1
% 0.94/1.55
% 0.94/1.55 Symbols occurring in the translation:
% 0.94/1.55
% 0.94/1.55 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.94/1.55 . [1, 2] (w:1, o:209, a:1, s:1, b:0),
% 0.94/1.55 ! [4, 1] (w:0, o:117, a:1, s:1, b:0),
% 0.94/1.55 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.94/1.55 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.94/1.55 tc_RealDef_Oreal [35, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.94/1.55 c_Int_OPls [36, 0] (w:1, o:17, a:1, s:1, b:0),
% 0.94/1.55 c_Int_OBit1 [37, 1] (w:1, o:123, a:1, s:1, b:0),
% 0.94/1.55 c_Int_OBit0 [38, 1] (w:1, o:122, a:1, s:1, b:0),
% 0.94/1.55 c_Int_Onumber__class_Onumber__of [39, 2] (w:1, o:233, a:1, s:1, b:0)
% 0.94/1.55 ,
% 0.94/1.55 tc_Complex_Ocomplex [40, 0] (w:1, o:18, a:1, s:1, b:0),
% 0.94/1.55 v_p [41, 0] (w:1, o:19, a:1, s:1, b:0),
% 0.94/1.55 v_z____ [42, 0] (w:1, o:20, a:1, s:1, b:0),
% 0.94/1.55 c_Polynomial_Opoly [43, 3] (w:1, o:259, a:1, s:1, b:0),
% 0.94/1.55 c_RealVector_Onorm__class_Onorm [44, 2] (w:1, o:234, a:1, s:1, b:0),
% 0.94/1.55
% 0.94/1.55 v_s____ [45, 0] (w:1, o:22, a:1, s:1, b:0),
% 0.94/1.55 c_Groups_Ouminus__class_Ouminus [46, 2] (w:1, o:235, a:1, s:1, b:0),
% 0.94/1.55
% 0.94/1.55 c_Groups_Ominus__class_Ominus [47, 3] (w:1, o:260, a:1, s:1, b:0),
% 0.94/1.55 c_Groups_Oabs__class_Oabs [48, 2] (w:1, o:236, a:1, s:1, b:0),
% 0.94/1.55 c_Rings_Oinverse__class_Odivide [49, 3] (w:1, o:261, a:1, s:1, b:0),
% 0.94/1.55
% 0.94/1.55 tc_Nat_Onat [50, 0] (w:1, o:23, a:1, s:1, b:0),
% 0.94/1.55 v_N2____ [51, 0] (w:1, o:25, a:1, s:1, b:0),
% 0.94/1.55 c_RealDef_Oreal [52, 2] (w:1, o:237, a:1, s:1, b:0),
% 0.94/1.55 c_Orderings_Oord__class_Oless [53, 3] (w:1, o:257, a:1, s:1, b:0),
% 0.94/1.55 c_Groups_Ozero__class_Ozero [54, 1] (w:1, o:124, a:1, s:1, b:0),
% 0.94/1.55 v_N1____ [57, 0] (w:1, o:24, a:1, s:1, b:0),
% 0.94/1.55 c_Groups_Oplus__class_Oplus [58, 3] (w:1, o:262, a:1, s:1, b:0),
% 0.94/1.55 c_Nat_OSuc [59, 1] (w:1, o:125, a:1, s:1, b:0),
% 0.94/1.55 v_d____ [61, 0] (w:1, o:38, a:1, s:1, b:0),
% 0.94/1.55 class_Int_Onumber__ring [64, 1] (w:1, o:126, a:1, s:1, b:0),
% 0.94/1.55 class_RealVector_Oreal__normed__algebra__1 [65, 1] (w:1, o:127, a:1
% 0.94/1.55 , s:1, b:0),
% 0.94/1.55 class_Fields_Ofield [67, 1] (w:1, o:128, a:1, s:1, b:0),
% 0.94/1.55 class_Rings_Olinordered__idom [72, 1] (w:1, o:129, a:1, s:1, b:0),
% 0.94/1.55 class_Fields_Ofield__inverse__zero [75, 1] (w:1, o:130, a:1, s:1, b:0
% 0.94/1.55 ),
% 0.94/1.55 class_RealVector_Oreal__normed__field [76, 1] (w:1, o:131, a:1, s:1
% 0.94/1.55 , b:0),
% 0.94/1.55 class_RealVector_Oreal__normed__vector [80, 1] (w:1, o:132, a:1, s:1
% 0.94/1.55 , b:0),
% 0.94/1.55 tc_Int_Oint [82, 0] (w:1, o:63, a:1, s:1, b:0),
% 0.94/1.55 class_Groups_Olinordered__ab__group__add [88, 1] (w:1, o:135, a:1, s:
% 0.94/1.55 1, b:0),
% 0.94/1.55 class_Int_Oring__char__0 [90, 1] (w:1, o:136, a:1, s:1, b:0),
% 0.94/1.55 class_Int_Onumber [91, 1] (w:1, o:137, a:1, s:1, b:0),
% 0.94/1.55 class_Fields_Olinordered__field__inverse__zero [92, 1] (w:1, o:133
% 0.94/1.55 , a:1, s:1, b:0),
% 0.94/1.55 v_f____ [98, 0] (w:1, o:76, a:1, s:1, b:0),
% 0.94/1.55 hAPP [99, 2] (w:1, o:238, a:1, s:1, b:0),
% 0.94/1.55 v_g____ [100, 1] (w:1, o:138, a:1, s:1, b:0),
% 0.94/1.55 c_Groups_Oone__class_Oone [102, 1] (w:1, o:139, a:1, s:1, b:0),
% 0.94/1.55 c_SEQ_Osubseq [103, 1] (w:1, o:140, a:1, s:1, b:0),
% 0.94/1.55 c_Orderings_Oord__class_Oless__eq [104, 3] (w:1, o:258, a:1, s:1, b:0
% 0.94/1.55 ),
% 0.94/1.55 class_Groups_Oab__group__add [115, 1] (w:1, o:141, a:1, s:1, b:0),
% 0.94/1.55 class_Groups_Ogroup__add [117, 1] (w:1, o:142, a:1, s:1, b:0),
% 0.94/1.55 class_Groups_Oabs__if [122, 1] (w:1, o:143, a:1, s:1, b:0),
% 0.94/1.55 v_r [124, 0] (w:1, o:21, a:1, s:1, b:0),
% 0.94/1.55 class_Groups_Oordered__ab__semigroup__add__imp__le [125, 1] (w:1, o:
% 0.94/1.55 144, a:1, s:1, b:0),
% 0.94/1.55 class_Groups_Oordered__ab__semigroup__add [126, 1] (w:1, o:145, a:1
% 0.94/1.55 , s:1, b:0),
% 0.94/1.55 class_Groups_Oordered__ab__group__add [130, 1] (w:1, o:146, a:1, s:1
% 0.94/1.55 , b:0),
% 0.94/1.55 class_Groups_Oordered__ab__group__add__abs [131, 1] (w:1, o:147, a:1
% 0.94/1.55 , s:1, b:0),
% 0.94/1.55 class_Groups_Oordered__comm__monoid__add [133, 1] (w:1, o:148, a:1
% 0.94/1.55 , s:1, b:0),
% 0.94/1.55 class_Groups_Oordered__cancel__ab__semigroup__add [134, 1] (w:1, o:
% 0.94/1.55 149, a:1, s:1, b:0),
% 0.94/1.55 class_Fields_Olinordered__field [135, 1] (w:1, o:134, a:1, s:1, b:0)
% 0.94/1.55 ,
% 0.94/1.55 class_Orderings_Olinorder [136, 1] (w:1, o:150, a:1, s:1, b:0),
% 0.94/1.55 class_Groups_Ozero [137, 1] (w:1, o:151, a:1, s:1, b:0),
% 0.94/1.55 class_Groups_Ocancel__semigroup__add [138, 1] (w:1, o:152, a:1, s:1
% 0.94/1.55 , b:0),
% 0.94/1.55 class_Groups_Ocancel__ab__semigroup__add [139, 1] (w:1, o:153, a:1
% 0.94/1.55 , s:1, b:0),
% 0.94/1.55 class_Groups_Oab__semigroup__add [140, 1] (w:1, o:154, a:1, s:1, b:0)
% 0.94/1.55 ,
% 0.94/1.55 class_Groups_Oone [141, 1] (w:1, o:155, a:1, s:1, b:0),
% 0.94/1.55 class_Groups_Ocomm__monoid__add [142, 1] (w:1, o:156, a:1, s:1, b:0)
% 0.94/1.55 ,
% 0.94/1.55 class_Groups_Omonoid__add [143, 1] (w:1, o:157, a:1, s:1, b:0),
% 0.94/1.55 c_Groups_Otimes__class_Otimes [145, 3] (w:1, o:263, a:1, s:1, b:0),
% 0.94/1.55 v_w____ [149, 0] (w:1, o:100, a:1, s:1, b:0),
% 0.94/1.55 class_Groups_Oab__semigroup__mult [154, 1] (w:1, o:158, a:1, s:1, b:0
% 0.94/1.55 ),
% 0.94/1.55 class_RealVector_Oreal__normed__div__algebra [155, 1] (w:1, o:159, a:
% 0.94/1.55 1, s:1, b:0),
% 0.94/1.55 class_RealVector_Oreal__normed__algebra [156, 1] (w:1, o:160, a:1, s:
% 0.94/1.55 1, b:0),
% 0.94/1.55 class_Groups_Ocomm__monoid__mult [160, 1] (w:1, o:161, a:1, s:1, b:0)
% 0.94/1.55 ,
% 0.94/1.55 class_Groups_Omonoid__mult [161, 1] (w:1, o:162, a:1, s:1, b:0),
% 0.94/1.55 class_Rings_Olinordered__ring__strict [162, 1] (w:1, o:163, a:1, s:1
% 0.94/1.55 , b:0),
% 0.94/1.55 class_Rings_Osemiring [163, 1] (w:1, o:168, a:1, s:1, b:0),
% 0.94/1.55 class_Rings_Oring [164, 1] (w:1, o:164, a:1, s:1, b:0),
% 0.94/1.55 class_Rings_Olinordered__ring [169, 1] (w:1, o:169, a:1, s:1, b:0),
% 0.94/1.55 class_Rings_Oring__1 [170, 1] (w:1, o:165, a:1, s:1, b:0),
% 0.94/1.55 class_RealVector_Oreal__field [172, 1] (w:1, o:170, a:1, s:1, b:0),
% 0.94/1.55 hBOOL [176, 1] (w:1, o:171, a:1, s:1, b:0),
% 0.94/1.55 class_Rings_Olinordered__semiring__1__strict [190, 1] (w:1, o:172, a:
% 0.94/1.55 1, s:1, b:0),
% 0.94/1.55 class_Rings_Omult__zero [191, 1] (w:1, o:178, a:1, s:1, b:0),
% 0.94/1.55 class_Rings_Oring__no__zero__divisors [192, 1] (w:1, o:166, a:1, s:1
% 0.94/1.55 , b:0),
% 0.94/1.55 class_Rings_Ono__zero__divisors [193, 1] (w:1, o:179, a:1, s:1, b:0)
% 0.94/1.55 ,
% 0.94/1.55 class_Rings_Ozero__neq__one [194, 1] (w:1, o:180, a:1, s:1, b:0),
% 0.94/1.55 class_Rings_Ocomm__semiring [195, 1] (w:1, o:182, a:1, s:1, b:0),
% 0.94/1.55 class_Rings_Oidom [196, 1] (w:1, o:183, a:1, s:1, b:0),
% 0.94/1.55 class_Rings_Odivision__ring [197, 1] (w:1, o:185, a:1, s:1, b:0),
% 0.94/1.55 class_Rings_Odivision__ring__inverse__zero [198, 1] (w:1, o:186, a:1
% 0.94/1.55 , s:1, b:0),
% 0.94/1.55 class_Rings_Oordered__cancel__semiring [199, 1] (w:1, o:187, a:1, s:1
% 0.94/1.55 , b:0),
% 0.94/1.55 class_Rings_Oordered__ring [200, 1] (w:1, o:188, a:1, s:1, b:0),
% 0.94/1.55 class_Rings_Oordered__semiring [201, 1] (w:1, o:190, a:1, s:1, b:0),
% 0.94/1.55
% 0.94/1.55 class_Rings_Oordered__comm__semiring [202, 1] (w:1, o:191, a:1, s:1
% 0.94/1.55 , b:0),
% 0.94/1.55 class_Rings_Olinordered__comm__semiring__strict [203, 1] (w:1, o:173
% 0.94/1.55 , a:1, s:1, b:0),
% 0.94/1.55 class_Rings_Olinordered__semiring__strict [204, 1] (w:1, o:174, a:1
% 0.94/1.55 , s:1, b:0),
% 0.94/1.55 class_Rings_Olinordered__semidom [205, 1] (w:1, o:175, a:1, s:1, b:0)
% 0.94/1.55 ,
% 0.94/1.55 class_Rings_Oring__1__no__zero__divisors [207, 1] (w:1, o:167, a:1
% 0.94/1.55 , s:1, b:0),
% 0.94/1.55 class_Rings_Olinordered__semiring [208, 1] (w:1, o:176, a:1, s:1, b:0
% 0.94/1.55 ),
% 0.94/1.55 class_Rings_Oordered__ring__abs [209, 1] (w:1, o:189, a:1, s:1, b:0)
% 0.94/1.55 ,
% 0.94/1.55 class_Rings_Olinordered__semiring__1 [210, 1] (w:1, o:177, a:1, s:1
% 0.94/1.55 , b:0),
% 0.94/1.55 class_Rings_Ocomm__ring__1 [213, 1] (w:1, o:181, a:1, s:1, b:0),
% 0.94/1.55 class_Rings_Ocomm__semiring__1 [214, 1] (w:1, o:184, a:1, s:1, b:0),
% 0.94/1.55
% 0.94/1.55 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct [
% 0.94/1.55 219, 1] (w:1, o:193, a:1, s:1, b:0),
% 0.94/1.55 c_Transcendental_Oarctan [220, 1] (w:1, o:194, a:1, s:1, b:0),
% 0.94/1.55 c_Int_Oiszero [221, 2] (w:1, o:239, a:1, s:1, b:0),
% 0.94/1.55 class_Rings_Osemiring__1 [222, 1] (w:1, o:192, a:1, s:1, b:0),
% 0.94/1.55 c_Divides_Odiv__class_Omod [223, 3] (w:1, o:264, a:1, s:1, b:0),
% 0.94/1.55 class_Divides_Osemiring__div [224, 1] (w:1, o:196, a:1, s:1, b:0),
% 0.94/1.55 class_Divides_Oring__div [225, 1] (w:1, o:195, a:1, s:1, b:0),
% 0.94/1.55 alpha1 [226, 2] (w:1, o:240, a:1, s:1, b:1),
% 0.94/1.55 alpha2 [227, 3] (w:1, o:277, a:1, s:1, b:1),
% 0.94/1.55 alpha3 [228, 3] (w:1, o:285, a:1, s:1, b:1),
% 0.94/1.55 alpha4 [229, 2] (w:1, o:242, a:1, s:1, b:1),
% 0.94/1.55 alpha5 [230, 3] (w:1, o:286, a:1, s:1, b:1),
% 0.94/1.55 alpha6 [231, 3] (w:1, o:287, a:1, s:1, b:1),
% 0.94/1.55 alpha7 [232, 1] (w:1, o:197, a:1, s:1, b:1),
% 0.94/1.55 alpha8 [233, 3] (w:1, o:288, a:1, s:1, b:1),
% 0.94/1.55 alpha9 [234, 3] (w:1, o:289, a:1, s:1, b:1),
% 0.94/1.55 alpha10 [235, 3] (w:1, o:265, a:1, s:1, b:1),
% 0.94/1.55 alpha11 [236, 3] (w:1, o:268, a:1, s:1, b:1),
% 0.94/1.55 alpha12 [237, 3] (w:1, o:269, a:1, s:1, b:1),
% 0.94/1.55 alpha13 [238, 3] (w:1, o:270, a:1, s:1, b:1),
% 0.94/1.55 alpha14 [239, 3] (w:1, o:271, a:1, s:1, b:1),
% 0.94/1.55 alpha15 [240, 3] (w:1, o:272, a:1, s:1, b:1),
% 0.94/1.55 alpha16 [241, 3] (w:1, o:273, a:1, s:1, b:1),
% 0.94/1.55 alpha17 [242, 3] (w:1, o:274, a:1, s:1, b:1),
% 0.94/1.55 alpha18 [243, 3] (w:1, o:275, a:1, s:1, b:1),
% 0.94/1.55 alpha19 [244, 3] (w:1, o:276, a:1, s:1, b:1),
% 2.27/2.63 alpha20 [245, 3] (w:1, o:278, a:1, s:1, b:1),
% 2.27/2.63 alpha21 [246, 3] (w:1, o:279, a:1, s:1, b:1),
% 2.27/2.63 alpha22 [247, 3] (w:1, o:280, a:1, s:1, b:1),
% 2.27/2.63 alpha23 [248, 3] (w:1, o:281, a:1, s:1, b:1),
% 2.27/2.63 alpha24 [249, 3] (w:1, o:282, a:1, s:1, b:1),
% 2.27/2.63 alpha25 [250, 3] (w:1, o:283, a:1, s:1, b:1),
% 2.27/2.63 alpha26 [251, 2] (w:1, o:244, a:1, s:1, b:1),
% 2.27/2.63 alpha27 [252, 2] (w:1, o:245, a:1, s:1, b:1),
% 2.27/2.63 alpha28 [253, 2] (w:1, o:246, a:1, s:1, b:1),
% 2.27/2.63 alpha29 [254, 3] (w:1, o:284, a:1, s:1, b:1),
% 2.27/2.63 alpha30 [255, 3] (w:1, o:290, a:1, s:1, b:1),
% 2.27/2.63 alpha31 [256, 3] (w:1, o:291, a:1, s:1, b:1),
% 2.27/2.63 alpha32 [257, 3] (w:1, o:292, a:1, s:1, b:1),
% 2.27/2.63 alpha33 [258, 4] (w:1, o:307, a:1, s:1, b:1),
% 2.27/2.63 alpha34 [259, 4] (w:1, o:308, a:1, s:1, b:1),
% 2.27/2.63 alpha35 [260, 3] (w:1, o:293, a:1, s:1, b:1),
% 2.27/2.63 alpha36 [261, 3] (w:1, o:294, a:1, s:1, b:1),
% 2.27/2.63 alpha37 [262, 2] (w:1, o:241, a:1, s:1, b:1),
% 2.27/2.63 alpha38 [263, 3] (w:1, o:295, a:1, s:1, b:1),
% 2.27/2.63 alpha39 [264, 3] (w:1, o:296, a:1, s:1, b:1),
% 2.27/2.63 alpha40 [265, 4] (w:1, o:309, a:1, s:1, b:1),
% 2.27/2.63 alpha41 [266, 4] (w:1, o:310, a:1, s:1, b:1),
% 2.27/2.63 alpha42 [267, 4] (w:1, o:311, a:1, s:1, b:1),
% 2.27/2.63 alpha43 [268, 4] (w:1, o:312, a:1, s:1, b:1),
% 2.27/2.63 alpha44 [269, 4] (w:1, o:313, a:1, s:1, b:1),
% 2.27/2.63 alpha45 [270, 4] (w:1, o:314, a:1, s:1, b:1),
% 2.27/2.63 alpha46 [271, 4] (w:1, o:315, a:1, s:1, b:1),
% 2.27/2.63 alpha47 [272, 4] (w:1, o:316, a:1, s:1, b:1),
% 2.27/2.63 alpha48 [273, 4] (w:1, o:317, a:1, s:1, b:1),
% 2.27/2.63 alpha49 [274, 4] (w:1, o:318, a:1, s:1, b:1),
% 2.27/2.63 alpha50 [275, 4] (w:1, o:319, a:1, s:1, b:1),
% 2.27/2.63 alpha51 [276, 4] (w:1, o:320, a:1, s:1, b:1),
% 2.27/2.63 alpha52 [277, 4] (w:1, o:321, a:1, s:1, b:1),
% 2.27/2.63 alpha53 [278, 4] (w:1, o:322, a:1, s:1, b:1),
% 2.27/2.63 alpha54 [279, 4] (w:1, o:323, a:1, s:1, b:1),
% 2.27/2.63 alpha55 [280, 4] (w:1, o:324, a:1, s:1, b:1),
% 2.27/2.63 alpha56 [281, 4] (w:1, o:325, a:1, s:1, b:1),
% 2.27/2.63 alpha57 [282, 4] (w:1, o:326, a:1, s:1, b:1),
% 2.27/2.63 alpha58 [283, 2] (w:1, o:247, a:1, s:1, b:1),
% 2.27/2.63 alpha59 [284, 2] (w:1, o:248, a:1, s:1, b:1),
% 2.27/2.63 alpha60 [285, 3] (w:1, o:297, a:1, s:1, b:1),
% 2.27/2.63 alpha61 [286, 3] (w:1, o:298, a:1, s:1, b:1),
% 2.27/2.63 alpha62 [287, 3] (w:1, o:299, a:1, s:1, b:1),
% 2.27/2.63 alpha63 [288, 3] (w:1, o:300, a:1, s:1, b:1),
% 2.27/2.63 alpha64 [289, 4] (w:1, o:327, a:1, s:1, b:1),
% 2.27/2.63 alpha65 [290, 4] (w:1, o:328, a:1, s:1, b:1),
% 2.27/2.63 alpha66 [291, 4] (w:1, o:329, a:1, s:1, b:1),
% 2.27/2.63 alpha67 [292, 4] (w:1, o:330, a:1, s:1, b:1),
% 2.27/2.63 alpha68 [293, 4] (w:1, o:331, a:1, s:1, b:1),
% 2.27/2.63 alpha69 [294, 4] (w:1, o:332, a:1, s:1, b:1),
% 2.27/2.63 alpha70 [295, 4] (w:1, o:333, a:1, s:1, b:1),
% 2.27/2.63 alpha71 [296, 4] (w:1, o:334, a:1, s:1, b:1),
% 2.27/2.63 alpha72 [297, 4] (w:1, o:335, a:1, s:1, b:1),
% 2.27/2.63 alpha73 [298, 4] (w:1, o:336, a:1, s:1, b:1),
% 2.27/2.63 alpha74 [299, 4] (w:1, o:337, a:1, s:1, b:1),
% 2.27/2.63 alpha75 [300, 4] (w:1, o:338, a:1, s:1, b:1),
% 2.27/2.63 alpha76 [301, 4] (w:1, o:339, a:1, s:1, b:1),
% 2.27/2.63 alpha77 [302, 4] (w:1, o:340, a:1, s:1, b:1),
% 2.27/2.63 alpha78 [303, 4] (w:1, o:341, a:1, s:1, b:1),
% 2.27/2.63 alpha79 [304, 4] (w:1, o:342, a:1, s:1, b:1),
% 2.27/2.63 alpha80 [305, 4] (w:1, o:343, a:1, s:1, b:1),
% 2.27/2.63 alpha81 [306, 4] (w:1, o:344, a:1, s:1, b:1),
% 2.27/2.63 alpha82 [307, 4] (w:1, o:345, a:1, s:1, b:1),
% 2.27/2.63 alpha83 [308, 4] (w:1, o:346, a:1, s:1, b:1),
% 2.27/2.63 alpha84 [309, 4] (w:1, o:347, a:1, s:1, b:1),
% 2.27/2.63 alpha85 [310, 4] (w:1, o:348, a:1, s:1, b:1),
% 2.27/2.63 alpha86 [311, 4] (w:1, o:349, a:1, s:1, b:1),
% 2.27/2.63 alpha87 [312, 4] (w:1, o:350, a:1, s:1, b:1),
% 2.27/2.63 alpha88 [313, 4] (w:1, o:351, a:1, s:1, b:1),
% 2.27/2.63 alpha89 [314, 4] (w:1, o:352, a:1, s:1, b:1),
% 2.27/2.63 alpha90 [315, 4] (w:1, o:353, a:1, s:1, b:1),
% 2.27/2.63 alpha91 [316, 4] (w:1, o:354, a:1, s:1, b:1),
% 2.27/2.63 alpha92 [317, 4] (w:1, o:355, a:1, s:1, b:1),
% 2.27/2.63 alpha93 [318, 4] (w:1, o:356, a:1, s:1, b:1),
% 2.27/2.63 alpha94 [319, 4] (w:1, o:357, a:1, s:1, b:1),
% 2.27/2.63 alpha95 [320, 4] (w:1, o:358, a:1, s:1, b:1),
% 2.27/2.63 alpha96 [321, 4] (w:1, o:359, a:1, s:1, b:1),
% 2.27/2.63 alpha97 [322, 4] (w:1, o:360, a:1, s:1, b:1),
% 13.59/13.99 alpha98 [323, 4] (w:1, o:361, a:1, s:1, b:1),
% 13.59/13.99 alpha99 [324, 4] (w:1, o:362, a:1, s:1, b:1),
% 13.59/13.99 alpha100 [325, 4] (w:1, o:363, a:1, s:1, b:1),
% 13.59/13.99 alpha101 [326, 4] (w:1, o:364, a:1, s:1, b:1),
% 13.59/13.99 alpha102 [327, 3] (w:1, o:266, a:1, s:1, b:1),
% 13.59/13.99 alpha103 [328, 2] (w:1, o:243, a:1, s:1, b:1),
% 13.59/13.99 alpha104 [329, 3] (w:1, o:267, a:1, s:1, b:1),
% 13.59/13.99 skol1 [330, 0] (w:1, o:6, a:1, s:1, b:1),
% 13.59/13.99 skol2 [331, 0] (w:1, o:7, a:1, s:1, b:1),
% 13.59/13.99 skol3 [332, 0] (w:1, o:13, a:1, s:1, b:1),
% 13.59/13.99 skol4 [333, 0] (w:1, o:14, a:1, s:1, b:1),
% 13.59/13.99 skol5 [334, 1] (w:1, o:198, a:1, s:1, b:1),
% 13.59/13.99 skol6 [335, 2] (w:1, o:249, a:1, s:1, b:1),
% 13.59/13.99 skol7 [336, 0] (w:1, o:15, a:1, s:1, b:1),
% 13.59/13.99 skol8 [337, 3] (w:1, o:301, a:1, s:1, b:1),
% 13.59/13.99 skol9 [338, 3] (w:1, o:302, a:1, s:1, b:1),
% 13.59/13.99 skol10 [339, 1] (w:1, o:199, a:1, s:1, b:1),
% 13.59/13.99 skol11 [340, 1] (w:1, o:200, a:1, s:1, b:1),
% 13.59/13.99 skol12 [341, 2] (w:1, o:250, a:1, s:1, b:1),
% 13.59/13.99 skol13 [342, 1] (w:1, o:201, a:1, s:1, b:1),
% 13.59/13.99 skol14 [343, 2] (w:1, o:251, a:1, s:1, b:1),
% 13.59/13.99 skol15 [344, 1] (w:1, o:202, a:1, s:1, b:1),
% 13.59/13.99 skol16 [345, 2] (w:1, o:252, a:1, s:1, b:1),
% 13.59/13.99 skol17 [346, 1] (w:1, o:203, a:1, s:1, b:1),
% 13.59/13.99 skol18 [347, 3] (w:1, o:303, a:1, s:1, b:1),
% 13.59/13.99 skol19 [348, 3] (w:1, o:304, a:1, s:1, b:1),
% 13.59/13.99 skol20 [349, 1] (w:1, o:204, a:1, s:1, b:1),
% 13.59/13.99 skol21 [350, 0] (w:1, o:8, a:1, s:1, b:1),
% 13.59/13.99 skol22 [351, 1] (w:1, o:205, a:1, s:1, b:1),
% 13.59/13.99 skol23 [352, 1] (w:1, o:206, a:1, s:1, b:1),
% 13.59/13.99 skol24 [353, 1] (w:1, o:207, a:1, s:1, b:1),
% 13.59/13.99 skol25 [354, 0] (w:1, o:9, a:1, s:1, b:1),
% 13.59/13.99 skol26 [355, 0] (w:1, o:10, a:1, s:1, b:1),
% 13.59/13.99 skol27 [356, 0] (w:1, o:11, a:1, s:1, b:1),
% 13.59/13.99 skol28 [357, 0] (w:1, o:12, a:1, s:1, b:1),
% 13.59/13.99 skol29 [358, 2] (w:1, o:253, a:1, s:1, b:1),
% 13.59/13.99 skol30 [359, 2] (w:1, o:254, a:1, s:1, b:1),
% 13.59/13.99 skol31 [360, 1] (w:1, o:208, a:1, s:1, b:1),
% 13.59/13.99 skol32 [361, 3] (w:1, o:305, a:1, s:1, b:1),
% 13.59/13.99 skol33 [362, 3] (w:1, o:306, a:1, s:1, b:1),
% 13.59/13.99 skol34 [363, 2] (w:1, o:255, a:1, s:1, b:1),
% 13.59/13.99 skol35 [364, 2] (w:1, o:256, a:1, s:1, b:1).
% 13.59/13.99
% 13.59/13.99
% 13.59/13.99 Starting Search:
% 13.59/13.99
% 13.59/13.99 *** allocated 170857 integers for clauses
% 13.59/13.99 Resimplifying inuse:
% 13.59/13.99 Done
% 13.59/13.99
% 13.59/13.99
% 13.59/13.99 Intermediate Status:
% 13.59/13.99 Generated: 2782
% 13.59/13.99 Kept: 2079
% 13.59/13.99 Inuse: 77
% 13.59/13.99 Deleted: 9
% 13.59/13.99 Deletedinuse: 0
% 13.59/13.99
% 13.59/13.99 *** allocated 256285 integers for clauses
% 13.59/13.99 Resimplifying inuse:
% 13.59/13.99 Done
% 13.59/13.99
% 13.59/13.99 *** allocated 170857 integers for termspace/termends
% 13.59/13.99 *** allocated 384427 integers for clauses
% 13.59/13.99
% 13.59/13.99 Intermediate Status:
% 13.59/13.99 Generated: 6983
% 13.59/13.99 Kept: 4318
% 13.59/13.99 Inuse: 295
% 13.59/13.99 Deleted: 16
% 13.59/13.99 Deletedinuse: 0
% 13.59/13.99
% 13.59/13.99 Resimplifying inuse:
% 13.59/13.99 Done
% 13.59/13.99
% 13.59/13.99 Resimplifying inuse:
% 13.59/13.99 Done
% 13.59/13.99
% 13.59/13.99
% 13.59/13.99 Intermediate Status:
% 13.59/13.99 Generated: 13370
% 13.59/13.99 Kept: 6332
% 13.59/13.99 Inuse: 330
% 13.59/13.99 Deleted: 17
% 13.59/13.99 Deletedinuse: 1
% 13.59/13.99
% 13.59/13.99 *** allocated 256285 integers for termspace/termends
% 13.59/13.99 Resimplifying inuse:
% 13.59/13.99 Done
% 13.59/13.99
% 13.59/13.99 *** allocated 576640 integers for clauses
% 13.59/13.99 Resimplifying inuse:
% 13.59/13.99 Done
% 13.59/13.99
% 13.59/13.99
% 13.59/13.99 Intermediate Status:
% 13.59/13.99 Generated: 19975
% 13.59/13.99 Kept: 8335
% 13.59/13.99 Inuse: 453
% 13.59/13.99 Deleted: 18
% 13.59/13.99 Deletedinuse: 2
% 13.59/13.99
% 13.59/13.99 Resimplifying inuse:
% 13.59/13.99 Done
% 13.59/13.99
% 13.59/13.99 Resimplifying inuse:
% 13.59/13.99 Done
% 13.59/13.99
% 13.59/13.99
% 13.59/13.99 Intermediate Status:
% 13.59/13.99 Generated: 29031
% 13.59/13.99 Kept: 10340
% 13.59/13.99 Inuse: 550
% 13.59/13.99 Deleted: 30
% 13.59/13.99 Deletedinuse: 3
% 13.59/13.99
% 13.59/13.99 *** allocated 864960 integers for clauses
% 13.59/13.99 *** allocated 384427 integers for termspace/termends
% 13.59/13.99 Resimplifying inuse:
% 13.59/13.99 Done
% 13.59/13.99
% 13.59/13.99
% 13.59/13.99 Intermediate Status:
% 13.59/13.99 Generated: 35669
% 13.59/13.99 Kept: 12654
% 13.59/13.99 Inuse: 620
% 13.59/13.99 Deleted: 39
% 13.59/13.99 Deletedinuse: 3
% 13.59/13.99
% 13.59/13.99 Resimplifying inuse:
% 13.59/13.99 Done
% 13.59/13.99
% 13.59/13.99 Resimplifying inuse:
% 13.59/13.99 Done
% 13.59/13.99
% 13.59/13.99
% 13.59/13.99 Intermediate Status:
% 13.59/13.99 Generated: 43336
% 13.59/13.99 Kept: 14666
% 13.59/13.99 Inuse: 711
% 13.59/13.99 Deleted: 43
% 13.59/13.99 Deletedinuse: 3
% 13.59/13.99
% 13.59/13.99 Resimplifying inuse:
% 13.59/13.99 Done
% 13.59/13.99
% 13.59/13.99 Resimplifying inuse:
% 13.59/13.99 Done
% 13.59/13.99
% 13.59/13.99 *** allocated 1297440 integers for clauses
% 13.59/13.99
% 13.59/13.99 Intermediate Status:
% 13.59/13.99 Generated: 50708
% 13.59/13.99 Kept: 16737
% 13.59/13.99 Inuse: 741
% 13.59/13.99 Deleted: 43
% 13.59/13.99 Deletedinuse: 3
% 13.59/13.99
% 13.59/13.99 Resimplifying inuse:
% 13.59/13.99 Done
% 13.59/13.99
% 13.59/13.99 Resimplifying inuse:
% 13.59/13.99 Done
% 13.59/13.99
% 13.59/13.99
% 13.59/13.99 Intermediate Status:
% 13.59/13.99 Generated: 57369
% 13.59/13.99 Kept: 18788
% 13.59/13.99 Inuse: 808
% 13.59/13.99 Deleted: 47
% 13.59/13.99 Deletedinuse: 5
% 13.59/13.99
% 13.59/13.99 *** allocated 576640 integers for termspace/termends
% 51.57/51.90 Resimplifying inuse:
% 51.57/51.90 Done
% 51.57/51.90
% 51.57/51.90 Resimplifying clauses:
% 51.57/51.90 Done
% 51.57/51.90
% 51.57/51.90
% 51.57/51.90 Intermediate Status:
% 51.57/51.90 Generated: 63587
% 51.57/51.90 Kept: 21466
% 51.57/51.90 Inuse: 828
% 51.57/51.90 Deleted: 715
% 51.57/51.90 Deletedinuse: 5
% 51.57/51.90
% 51.57/51.90 Resimplifying inuse:
% 51.57/51.90 Done
% 51.57/51.90
% 51.57/51.90 Resimplifying inuse:
% 51.57/51.90 Done
% 51.57/51.90
% 51.57/51.90
% 51.57/51.90 Intermediate Status:
% 51.57/51.90 Generated: 70577
% 51.57/51.90 Kept: 24421
% 51.57/51.90 Inuse: 871
% 51.57/51.90 Deleted: 716
% 51.57/51.90 Deletedinuse: 6
% 51.57/51.90
% 51.57/51.90 Resimplifying inuse:
% 51.57/51.90 Done
% 51.57/51.90
% 51.57/51.90 *** allocated 1946160 integers for clauses
% 51.57/51.90 Resimplifying inuse:
% 51.57/51.90 Done
% 51.57/51.90
% 51.57/51.90
% 51.57/51.90 Intermediate Status:
% 51.57/51.90 Generated: 76514
% 51.57/51.90 Kept: 26429
% 51.57/51.90 Inuse: 927
% 51.57/51.90 Deleted: 716
% 51.57/51.90 Deletedinuse: 6
% 51.57/51.90
% 51.57/51.90 Resimplifying inuse:
% 51.57/51.90 Done
% 51.57/51.90
% 51.57/51.90
% 51.57/51.90 Intermediate Status:
% 51.57/51.90 Generated: 84308
% 51.57/51.90 Kept: 28611
% 51.57/51.90 Inuse: 933
% 51.57/51.90 Deleted: 716
% 51.57/51.90 Deletedinuse: 6
% 51.57/51.90
% 51.57/51.90 Resimplifying inuse:
% 51.57/51.90 Done
% 51.57/51.90
% 51.57/51.90 *** allocated 864960 integers for termspace/termends
% 51.57/51.90 Resimplifying inuse:
% 51.57/51.90 Done
% 51.57/51.90
% 51.57/51.90
% 51.57/51.90 Intermediate Status:
% 51.57/51.90 Generated: 89812
% 51.57/51.90 Kept: 30632
% 51.57/51.90 Inuse: 996
% 51.57/51.90 Deleted: 716
% 51.57/51.90 Deletedinuse: 6
% 51.57/51.90
% 51.57/51.90 Resimplifying inuse:
% 51.57/51.90 Done
% 51.57/51.90
% 51.57/51.90 Resimplifying inuse:
% 51.57/51.90 Done
% 51.57/51.90
% 51.57/51.90
% 51.57/51.90 Intermediate Status:
% 51.57/51.90 Generated: 100921
% 51.57/51.90 Kept: 36696
% 51.57/51.90 Inuse: 1048
% 51.57/51.90 Deleted: 717
% 51.57/51.90 Deletedinuse: 7
% 51.57/51.90
% 51.57/51.90 Resimplifying inuse:
% 51.57/51.90 Done
% 51.57/51.90
% 51.57/51.90 Resimplifying inuse:
% 51.57/51.90 Done
% 51.57/51.90
% 51.57/51.90
% 51.57/51.90 Intermediate Status:
% 51.57/51.90 Generated: 109480
% 51.57/51.90 Kept: 39260
% 51.57/51.90 Inuse: 1093
% 51.57/51.90 Deleted: 718
% 51.57/51.90 Deletedinuse: 8
% 51.57/51.90
% 51.57/51.90 Resimplifying inuse:
% 51.57/51.90 Done
% 51.57/51.90
% 51.57/51.90 Resimplifying inuse:
% 51.57/51.90 Done
% 51.57/51.90
% 51.57/51.90 Resimplifying clauses:
% 51.57/51.90 Done
% 51.57/51.90
% 51.57/51.90 *** allocated 2919240 integers for clauses
% 51.57/51.90
% 51.57/51.90 Intermediate Status:
% 51.57/51.90 Generated: 117624
% 51.57/51.90 Kept: 41281
% 51.57/51.90 Inuse: 1114
% 51.57/51.90 Deleted: 1031
% 51.57/51.90 Deletedinuse: 8
% 51.57/51.90
% 51.57/51.90 Resimplifying inuse:
% 51.57/51.90 Done
% 51.57/51.90
% 51.57/51.90 Resimplifying inuse:
% 51.57/51.90 Done
% 51.57/51.90
% 51.57/51.90 *** allocated 1297440 integers for termspace/termends
% 51.57/51.90
% 51.57/51.90 Intermediate Status:
% 51.57/51.90 Generated: 122531
% 51.57/51.90 Kept: 43298
% 51.57/51.90 Inuse: 1154
% 51.57/51.90 Deleted: 1037
% 51.57/51.90 Deletedinuse: 14
% 51.57/51.90
% 51.57/51.90 Resimplifying inuse:
% 51.57/51.90 Done
% 51.57/51.90
% 51.57/51.90 Resimplifying inuse:
% 51.57/51.90 Done
% 51.57/51.90
% 51.57/51.90
% 51.57/51.90 Intermediate Status:
% 51.57/51.90 Generated: 128870
% 51.57/51.90 Kept: 45342
% 51.57/51.90 Inuse: 1198
% 51.57/51.90 Deleted: 1042
% 51.57/51.90 Deletedinuse: 19
% 51.57/51.90
% 51.57/51.90 Resimplifying inuse:
% 51.57/51.90 Done
% 51.57/51.90
% 51.57/51.90 Resimplifying inuse:
% 51.57/51.90 Done
% 51.57/51.90
% 51.57/51.90
% 51.57/51.90 Intermediate Status:
% 51.57/51.90 Generated: 134737
% 51.57/51.90 Kept: 47532
% 51.57/51.90 Inuse: 1269
% 51.57/51.90 Deleted: 1046
% 51.57/51.90 Deletedinuse: 19
% 51.57/51.90
% 51.57/51.90 Resimplifying inuse:
% 51.57/51.90 Done
% 51.57/51.90
% 51.57/51.90
% 51.57/51.90 Intermediate Status:
% 51.57/51.90 Generated: 140704
% 51.57/51.90 Kept: 49708
% 51.57/51.90 Inuse: 1284
% 51.57/51.90 Deleted: 1046
% 51.57/51.90 Deletedinuse: 19
% 51.57/51.90
% 51.57/51.90 Resimplifying inuse:
% 51.57/51.90 Done
% 51.57/51.90
% 51.57/51.90
% 51.57/51.90 Intermediate Status:
% 51.57/51.90 Generated: 146348
% 51.57/51.90 Kept: 52541
% 51.57/51.90 Inuse: 1297
% 51.57/51.90 Deleted: 1052
% 51.57/51.90 Deletedinuse: 19
% 51.57/51.90
% 51.57/51.90 Resimplifying inuse:
% 51.57/51.90 Done
% 51.57/51.90
% 51.57/51.90 Resimplifying inuse:
% 51.57/51.90 Done
% 51.57/51.90
% 51.57/51.90
% 51.57/51.90 Intermediate Status:
% 51.57/51.90 Generated: 151239
% 51.57/51.90 Kept: 54556
% 51.57/51.90 Inuse: 1344
% 51.57/51.90 Deleted: 1052
% 51.57/51.90 Deletedinuse: 19
% 51.57/51.90
% 51.57/51.90 Resimplifying inuse:
% 51.57/51.90 Done
% 51.57/51.90
% 51.57/51.90 Resimplifying inuse:
% 51.57/51.90 Done
% 51.57/51.90
% 51.57/51.90
% 51.57/51.90 Intermediate Status:
% 51.57/51.90 Generated: 156292
% 51.57/51.90 Kept: 56580
% 51.57/51.90 Inuse: 1383
% 51.57/51.90 Deleted: 1052
% 51.57/51.90 Deletedinuse: 19
% 51.57/51.90
% 51.57/51.90 Resimplifying inuse:
% 51.57/51.90 Done
% 51.57/51.90
% 51.57/51.90 Resimplifying inuse:
% 51.57/51.90 Done
% 51.57/51.90
% 51.57/51.90
% 51.57/51.90 Intermediate Status:
% 51.57/51.90 Generated: 163511
% 51.57/51.90 Kept: 58607
% 51.57/51.90 Inuse: 1418
% 51.57/51.90 Deleted: 1052
% 51.57/51.90 Deletedinuse: 19
% 51.57/51.90
% 51.57/51.90 Resimplifying inuse:
% 51.57/51.90 Done
% 51.57/51.90
% 51.57/51.90 Resimplifying inuse:
% 51.57/51.90 Done
% 51.57/51.90
% 51.57/51.90 Resimplifying clauses:
% 51.57/51.90 Done
% 51.57/51.90
% 51.57/51.90
% 51.57/51.90 Intermediate Status:
% 51.57/51.90 Generated: 168916
% 51.57/51.90 Kept: 60785
% 51.57/51.90 Inuse: 1458
% 51.57/51.90 Deleted: 2575
% 51.57/51.90 Deletedinuse: 19
% 51.57/51.90
% 51.57/51.90 Resimplifying inuse:
% 51.57/51.90 Done
% 51.57/51.90
% 51.57/51.90 Resimplifying inuse:
% 51.57/51.90 Done
% 51.57/51.90
% 51.57/51.90 *** allocated 1946160 integers for termspace/termends
% 51.57/51.90
% 51.57/51.90 Intermediate Status:
% 51.57/51.90 Generated: 176141
% 51.57/51.90 Kept: 62797
% 51.57/51.90 Inuse: 1483
% 51.57/51.90 Deleted: 2577
% 51.57/51.90 Deletedinuse: 19
% 51.57/51.90
% 51.57/51.90 Resimplifying inuse:
% 51.57/51.90 Done
% 51.57/51.90
% 51.57/51.90 *** allocated 4378860 integers for clauses
% 51.57/51.90
% 51.57/51.90 Intermediate Status:
% 51.57/51.90 Generated: 182919
% 51.57/51.90 Kept: 66376
% 51.57/51.90 Inuse: 1516
% 51.57/51.90 Deleted: 2577
% 51.57/51.90 Deletedinuse: 19
% 51.57/51.90
% 51.57/51.90 Resimplifying inuse:
% 51.57/51.90 Done
% 51.57/51.90
% 51.57/51.90 Resimplifying inuse:
% 51.57/51.90 Done
% 51.57/51.90
% 51.57/51.90
% 51.57/51.90 Intermediate Status:
% 51.57/51.90 Generated: 193040
% 51.57/51.90 Kept: 68393
% 51.57/51.90 Inuse: 1536
% 51.57/51.90 Deleted: 2577
% 51.57/51.90 Deletedinuse: 19
% 51.57/51.90
% 51.57/51.90 Resimplifying inuse:
% 51.57/51.90 Done
% 51.57/51.90
% 51.57/51.90
% 51.57/51.90 Intermediate Status:
% 51.57/51.90 Generated: 203044
% 51.57/51.90 Kept: 71442
% 51.57/51.90 Inuse: 1576
% 51.57/51.90 Deleted: 2577
% 51.57/51.90 Deletedinuse: 19
% 51.57/51.90
% 51.57/51.90 Resimplifying inuse:
% 51.57/51.90 Done
% 51.57/51.90
% 51.57/51.90
% 51.57/51.90 Intermediate Status:
% 51.57/51.90 Generated: 214836
% 51.57/51.90 Kept: 73607
% 51.57/51.90 Inuse: 1596
% 51.57/51.90 Deleted: 2577
% 51.57/51.90 Deletedinuse: 19
% 51.57/51.90
% 51.57/51.90 Resimplifying inuse:
% 51.57/51.90 Done
% 51.57/51.90
% 51.57/51.90 Resimplifying inuse:
% 51.57/51.90 Done
% 51.57/51.90
% 51.57/51.90
% 51.57/51.90 Intermediate Status:
% 51.57/51.90 Generated: 234292
% 51.57/51.90 Kept: 76189
% 177.65/178.08 Inuse: 1606
% 177.65/178.08 Deleted: 2577
% 177.65/178.08 Deletedinuse: 19
% 177.65/178.08
% 177.65/178.08 Resimplifying inuse:
% 177.65/178.08 Done
% 177.65/178.08
% 177.65/178.08 Resimplifying inuse:
% 177.65/178.08 Done
% 177.65/178.08
% 177.65/178.08
% 177.65/178.08 Intermediate Status:
% 177.65/178.08 Generated: 242552
% 177.65/178.08 Kept: 78228
% 177.65/178.08 Inuse: 1655
% 177.65/178.08 Deleted: 2581
% 177.65/178.08 Deletedinuse: 19
% 177.65/178.08
% 177.65/178.08
% 177.65/178.08 Intermediate Status:
% 177.65/178.08 Generated: 254952
% 177.65/178.08 Kept: 81772
% 177.65/178.08 Inuse: 1657
% 177.65/178.08 Deleted: 2581
% 177.65/178.08 Deletedinuse: 19
% 177.65/178.08
% 177.65/178.08 Resimplifying inuse:
% 177.65/178.08 Done
% 177.65/178.08
% 177.65/178.08 Resimplifying clauses:
% 177.65/178.08 Done
% 177.65/178.08
% 177.65/178.08
% 177.65/178.08 Intermediate Status:
% 177.65/178.08 Generated: 264264
% 177.65/178.08 Kept: 84999
% 177.65/178.08 Inuse: 1667
% 177.65/178.08 Deleted: 3121
% 177.65/178.08 Deletedinuse: 19
% 177.65/178.08
% 177.65/178.08 Resimplifying inuse:
% 177.65/178.08 Done
% 177.65/178.08
% 177.65/178.08
% 177.65/178.08 Intermediate Status:
% 177.65/178.08 Generated: 272303
% 177.65/178.08 Kept: 88528
% 177.65/178.08 Inuse: 1688
% 177.65/178.08 Deleted: 3125
% 177.65/178.08 Deletedinuse: 23
% 177.65/178.08
% 177.65/178.08 Resimplifying inuse:
% 177.65/178.08 Done
% 177.65/178.08
% 177.65/178.08 Resimplifying inuse:
% 177.65/178.08 Done
% 177.65/178.08
% 177.65/178.08
% 177.65/178.08 Intermediate Status:
% 177.65/178.08 Generated: 279618
% 177.65/178.08 Kept: 90669
% 177.65/178.08 Inuse: 1737
% 177.65/178.08 Deleted: 3125
% 177.65/178.08 Deletedinuse: 23
% 177.65/178.08
% 177.65/178.08 Resimplifying inuse:
% 177.65/178.08 Done
% 177.65/178.08
% 177.65/178.08 *** allocated 2919240 integers for termspace/termends
% 177.65/178.08
% 177.65/178.08 Intermediate Status:
% 177.65/178.08 Generated: 292603
% 177.65/178.08 Kept: 98654
% 177.65/178.08 Inuse: 1757
% 177.65/178.08 Deleted: 3125
% 177.65/178.08 Deletedinuse: 23
% 177.65/178.08
% 177.65/178.08 Resimplifying inuse:
% 177.65/178.08 Done
% 177.65/178.08
% 177.65/178.08 *** allocated 6568290 integers for clauses
% 177.65/178.08
% 177.65/178.08 Intermediate Status:
% 177.65/178.08 Generated: 304569
% 177.65/178.08 Kept: 106347
% 177.65/178.08 Inuse: 1772
% 177.65/178.08 Deleted: 3125
% 177.65/178.08 Deletedinuse: 23
% 177.65/178.08
% 177.65/178.08 Resimplifying inuse:
% 177.65/178.08 Done
% 177.65/178.08
% 177.65/178.08 Resimplifying clauses:
% 177.65/178.08 Done
% 177.65/178.08
% 177.65/178.08
% 177.65/178.08 Intermediate Status:
% 177.65/178.08 Generated: 312632
% 177.65/178.08 Kept: 110904
% 177.65/178.08 Inuse: 1792
% 177.65/178.08 Deleted: 3682
% 177.65/178.08 Deletedinuse: 23
% 177.65/178.08
% 177.65/178.08 Resimplifying inuse:
% 177.65/178.08 Done
% 177.65/178.08
% 177.65/178.08
% 177.65/178.08 Intermediate Status:
% 177.65/178.08 Generated: 319132
% 177.65/178.08 Kept: 114409
% 177.65/178.08 Inuse: 1802
% 177.65/178.08 Deleted: 3686
% 177.65/178.08 Deletedinuse: 27
% 177.65/178.08
% 177.65/178.08 Resimplifying inuse:
% 177.65/178.08 Done
% 177.65/178.08
% 177.65/178.08 Resimplifying inuse:
% 177.65/178.08 Done
% 177.65/178.08
% 177.65/178.08
% 177.65/178.08 Intermediate Status:
% 177.65/178.08 Generated: 324635
% 177.65/178.08 Kept: 116428
% 177.65/178.08 Inuse: 1837
% 177.65/178.08 Deleted: 3686
% 177.65/178.08 Deletedinuse: 27
% 177.65/178.08
% 177.65/178.08 Resimplifying inuse:
% 177.65/178.08 Done
% 177.65/178.08
% 177.65/178.08 Resimplifying inuse:
% 177.65/178.08 Done
% 177.65/178.08
% 177.65/178.08
% 177.65/178.08 Intermediate Status:
% 177.65/178.08 Generated: 333465
% 177.65/178.08 Kept: 120852
% 177.65/178.08 Inuse: 1862
% 177.65/178.08 Deleted: 3686
% 177.65/178.08 Deletedinuse: 27
% 177.65/178.08
% 177.65/178.08 Resimplifying inuse:
% 177.65/178.08 Done
% 177.65/178.08
% 177.65/178.08 Resimplifying inuse:
% 177.65/178.08 Done
% 177.65/178.08
% 177.65/178.08
% 177.65/178.08 Intermediate Status:
% 177.65/178.08 Generated: 339163
% 177.65/178.08 Kept: 122884
% 177.65/178.08 Inuse: 1900
% 177.65/178.08 Deleted: 3686
% 177.65/178.08 Deletedinuse: 27
% 177.65/178.08
% 177.65/178.08 Resimplifying inuse:
% 177.65/178.08 Done
% 177.65/178.08
% 177.65/178.08 Resimplifying inuse:
% 177.65/178.08 Done
% 177.65/178.08
% 177.65/178.08
% 177.65/178.08 Intermediate Status:
% 177.65/178.08 Generated: 345451
% 177.65/178.08 Kept: 125077
% 177.65/178.08 Inuse: 1932
% 177.65/178.08 Deleted: 3686
% 177.65/178.08 Deletedinuse: 27
% 177.65/178.08
% 177.65/178.08 Resimplifying inuse:
% 177.65/178.08 Done
% 177.65/178.08
% 177.65/178.08 Resimplifying inuse:
% 177.65/178.08 Done
% 177.65/178.08
% 177.65/178.08 Resimplifying clauses:
% 177.65/178.08 Done
% 177.65/178.08
% 177.65/178.08
% 177.65/178.08 Intermediate Status:
% 177.65/178.08 Generated: 351552
% 177.65/178.08 Kept: 127160
% 177.65/178.08 Inuse: 1962
% 177.65/178.08 Deleted: 4336
% 177.65/178.08 Deletedinuse: 27
% 177.65/178.08
% 177.65/178.08 Resimplifying inuse:
% 177.65/178.08 Done
% 177.65/178.08
% 177.65/178.08
% 177.65/178.08 Intermediate Status:
% 177.65/178.08 Generated: 357314
% 177.65/178.08 Kept: 131125
% 177.65/178.08 Inuse: 1963
% 177.65/178.08 Deleted: 4336
% 177.65/178.08 Deletedinuse: 27
% 177.65/178.08
% 177.65/178.08 Resimplifying inuse:
% 177.65/178.08 Done
% 177.65/178.08
% 177.65/178.08
% 177.65/178.08 Intermediate Status:
% 177.65/178.08 Generated: 365180
% 177.65/178.08 Kept: 133466
% 177.65/178.08 Inuse: 1987
% 177.65/178.08 Deleted: 4336
% 177.65/178.08 Deletedinuse: 27
% 177.65/178.08
% 177.65/178.08 Resimplifying inuse:
% 177.65/178.08 Done
% 177.65/178.08
% 177.65/178.08 Resimplifying inuse:
% 177.65/178.08 Done
% 177.65/178.08
% 177.65/178.08
% 177.65/178.08 Intermediate Status:
% 177.65/178.08 Generated: 371256
% 177.65/178.08 Kept: 135617
% 177.65/178.08 Inuse: 2012
% 177.65/178.08 Deleted: 4336
% 177.65/178.08 Deletedinuse: 27
% 177.65/178.08
% 177.65/178.08 Resimplifying inuse:
% 177.65/178.08 Done
% 177.65/178.08
% 177.65/178.08 Resimplifying inuse:
% 177.65/178.08 Done
% 177.65/178.08
% 177.65/178.08
% 177.65/178.08 Intermediate Status:
% 177.65/178.08 Generated: 376091
% 177.65/178.08 Kept: 137623
% 177.65/178.08 Inuse: 2047
% 177.65/178.08 Deleted: 4336
% 177.65/178.08 Deletedinuse: 27
% 177.65/178.08
% 177.65/178.08 Resimplifying inuse:
% 177.65/178.08 Done
% 177.65/178.08
% 177.65/178.08 Resimplifying inuse:
% 177.65/178.08 Done
% 177.65/178.08
% 177.65/178.08
% 177.65/178.08 Intermediate Status:
% 177.65/178.08 Generated: 379950
% 177.65/178.08 Kept: 139641
% 177.65/178.08 Inuse: 2117
% 177.65/178.08 Deleted: 4340
% 177.65/178.08 Deletedinuse: 31
% 177.65/178.08
% 177.65/178.08
% 177.65/178.08 Intermediate Status:
% 177.65/178.08 Generated: 385959
% 177.65/178.08 Kept: 141723
% 177.65/178.08 Inuse: 2122
% 177.65/178.08 Deleted: 4340
% 177.65/178.08 Deletedinuse: 31
% 177.65/178.08
% 177.65/178.08 Resimplifying inuse:
% 177.65/178.08 Done
% 177.65/178.08
% 177.65/178.08 Resimplifying inuse:
% 177.65/178.08 Done
% 177.65/178.08
% 177.65/178.08 *** allocated 4378860 integers for termspace/termends
% 177.65/178.08
% 177.65/178.08 Intermediate Status:
% 177.65/178.08 Generated: 395445
% 177.65/178.08 Kept: 144455
% 177.65/178.08 Inuse: 2147
% 177.65/178.08 Deleted: 4341
% 177.65/178.08 Deletedinuse: 32
% 177.65/178.08
% 177.65/178.08 Resimplifying inuse:
% 177.65/178.08 Done
% 177.65/178.08
% 177.65/178.08 Resimplifying inuse:
% 177.65/178.08 Done
% 177.65/178.08
% 177.65/178.08
% 177.65/178.08 Intermediate Status:
% 177.65/178.08 Generated: 400437
% 177.65/178.08 Kept: 146469
% 177.65/178.08 Inuse: 2168
% 177.65/178.08 Deleted: 4341
% 177.65/178.08 Deletedinuse: 32
% 177.65/178.08
% 177.65/178.08 Resimplifying inuse:
% 177.65/178.08 Done
% 177.65/178.08
% 177.65/178.08 Resimplifying clauses:
% 177.65/178.08 Done
% 177.65/178.08
% 177.65/178.08 Resimplifying inuse:
% 177.65/178.08 Done
% 177.65/178.08
% 177.65/178.08
% 177.65/178.08 Intermediate Status:
% 177.65/178.08 Generated: 412492
% 177.65/178.08 Kept: 148504
% 177.65/178.08 Inuse: 2188
% 177.65/178.08 Deleted: 5183
% 177.65/178.08 Deletedinuse: 33
% 177.65/178.08
% 177.65/178.08 Resimplifying inuse:
% 177.65/178.08 Done
% 177.65/178.08
% 177.65/178.08 Resimplifying inuse:
% 177.65/178.08 Done
% 177.65/178.08
% 177.65/178.08
% 177.65/178.08 Intermediate Status:
% 177.65/178.08 GeneraCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------