TSTP Solution File: SWW222+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWW222+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n023.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 23:21:21 EDT 2022
% Result : Timeout 300.08s 300.44s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW222+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n023.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 : Sat Jun 4 12:23:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.95/1.52 *** allocated 10000 integers for termspace/termends
% 0.95/1.52 *** allocated 10000 integers for clauses
% 0.95/1.52 *** allocated 10000 integers for justifications
% 0.95/1.52 *** allocated 15000 integers for termspace/termends
% 0.95/1.52 *** allocated 22500 integers for termspace/termends
% 0.95/1.52 *** allocated 33750 integers for termspace/termends
% 0.95/1.52 Bliksem 1.12
% 0.95/1.52
% 0.95/1.52
% 0.95/1.52 Automatic Strategy Selection
% 0.95/1.52
% 0.95/1.52 *** allocated 50625 integers for termspace/termends
% 0.95/1.52 *** allocated 75937 integers for termspace/termends
% 0.95/1.52 *** allocated 113905 integers for termspace/termends
% 0.95/1.52
% 0.95/1.52 Clauses:
% 0.95/1.52
% 0.95/1.52 { ! hAPP( Y, skol1( X, Y ) ) = hAPP( X, skol1( X, Y ) ), Y = X }.
% 0.95/1.52 { c_SEQ_Osubseq( v_f____ ) }.
% 0.95/1.52 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.52 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.95/1.52 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, v_wa____, v_z____ ) )
% 0.95/1.52 , v_d____ ) }.
% 0.95/1.52 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.95/1.52 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.95/1.52 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.95/1.52 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.95/1.52 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), v_z____ ) ),
% 0.95/1.52 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) ) ) ) }.
% 0.95/1.52 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.95/1.52 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.95/1.52 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, v_wa____, v_z____ ) )
% 0.95/1.52 ), ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.52 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.95/1.52 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, v_wa____, v_z____ ) )
% 0.95/1.52 , v_d____ ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.52 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.95/1.52 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, hAPP(
% 0.95/1.52 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), v_wa____ ), hAPP(
% 0.95/1.52 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), v_z____ ) ) ),
% 0.95/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.95/1.52 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.95/1.52 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.95/1.52 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.95/1.52 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), v_z____ ) ),
% 0.95/1.52 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) ) ),
% 0.95/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.95/1.52 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.95/1.52 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.95/1.52 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.95/1.52 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, X, v_z____ ) ) ), !
% 0.95/1.52 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.52 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.95/1.52 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, X, v_z____ ) ),
% 0.95/1.52 v_d____ ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.52 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.95/1.52 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, hAPP(
% 0.95/1.52 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), X ), hAPP(
% 0.95/1.52 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), v_z____ ) ) ),
% 0.95/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.95/1.52 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.95/1.52 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.95/1.52 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.95/1.52 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), v_z____ ) ),
% 0.95/1.52 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) ) ),
% 0.95/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.95/1.52 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.95/1.52 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.95/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.95/1.52 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.95/1.52 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.95/1.52 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.95/1.52 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), v_z____ ) ),
% 0.95/1.52 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) ) ),
% 0.95/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.95/1.52 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.95/1.52 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol2 ) }.
% 0.95/1.52 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.95/1.52 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.95/1.52 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, X, v_z____ ) ) ), !
% 0.95/1.52 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.52 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.95/1.52 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, X, v_z____ ) ), skol2
% 0.95/1.52 ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.52 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.95/1.52 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, hAPP(
% 0.95/1.52 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), X ), hAPP(
% 0.95/1.52 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), v_z____ ) ) ),
% 0.95/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.95/1.52 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.95/1.52 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.95/1.52 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.95/1.52 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), v_z____ ) ),
% 0.95/1.52 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) ) ),
% 0.95/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.95/1.52 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.95/1.52 { ! class_Int_Onumber__ring( X ), !
% 0.95/1.52 class_RealVector_Oreal__normed__algebra__1( X ),
% 0.95/1.52 c_RealVector_Onorm__class_Onorm( X, c_Int_Onumber__class_Onumber__of( X,
% 0.95/1.52 Y ) ) = c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.95/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, Y ) ) }.
% 0.95/1.52 { ! class_Fields_Ofield( X ), ! class_Int_Onumber__ring( X ),
% 0.95/1.52 c_Rings_Oinverse__class_Odivide( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.95/1.52 X, c_Int_OBit1( c_Int_OPls ) ) ) = Y }.
% 0.95/1.52 { ! class_Fields_Ofield( X ), ! class_Int_Onumber__ring( X ),
% 0.95/1.52 c_Rings_Oinverse__class_Odivide( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.95/1.52 X, c_Int_OBit1( c_Int_OPls ) ) ) = Y }.
% 0.95/1.52 { ! class_Fields_Ofield__inverse__zero( X ), !
% 0.95/1.52 class_RealVector_Oreal__normed__field( X ),
% 0.95/1.52 c_RealVector_Onorm__class_Onorm( X, c_Rings_Oinverse__class_Odivide( X, Z
% 0.95/1.52 , Y ) ) = c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.95/1.52 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.95/1.52 ( X, Y ) ) }.
% 0.95/1.52 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.95/1.52 , c_Groups_Oabs__class_Oabs( X, Z ), Y ), c_Orderings_Oord__class_Oless(
% 0.95/1.52 X, Z, Y ) }.
% 0.95/1.52 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.95/1.52 , c_Groups_Oabs__class_Oabs( X, Z ), Y ), c_Orderings_Oord__class_Oless(
% 0.95/1.52 X, c_Groups_Ouminus__class_Ouminus( X, Z ), Y ) }.
% 0.95/1.52 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.95/1.52 , Z, Y ), ! c_Orderings_Oord__class_Oless( X,
% 0.95/1.52 c_Groups_Ouminus__class_Ouminus( X, Z ), Y ),
% 0.95/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Oabs__class_Oabs( X, Z ), Y )
% 0.95/1.52 }.
% 0.95/1.52 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol3 ) }.
% 0.95/1.52 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.95/1.52 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.95/1.52 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, X, v_z____ ) ) ), !
% 0.95/1.52 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.52 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.95/1.52 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, X, v_z____ ) ), skol3
% 0.95/1.52 ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.52 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.95/1.52 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, hAPP(
% 0.95/1.52 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), X ), hAPP(
% 0.95/1.52 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), v_z____ ) ) ),
% 0.95/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.95/1.52 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.95/1.52 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.95/1.52 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.95/1.52 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), v_z____ ) ),
% 0.95/1.52 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) ) ),
% 0.95/1.52 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.95/1.52 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.95/1.52 { ! class_RealVector_Oreal__normed__vector( X ), c_Groups_Oabs__class_Oabs
% 0.95/1.52 ( tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm( X, Y ) ) =
% 0.95/1.52 c_RealVector_Onorm__class_Onorm( X, Y ) }.
% 0.95/1.52 { ! class_Rings_Ocomm__ring( X ), hAPP( c_Polynomial_Opoly( X,
% 0.95/1.52 c_Groups_Ouminus__class_Ouminus( tc_Polynomial_Opoly( X ), Z ) ), Y ) =
% 0.95/1.52 c_Groups_Ouminus__class_Ouminus( X, hAPP( c_Polynomial_Opoly( X, Z ), Y )
% 0.95/1.52 ) }.
% 0.95/1.52 { ! class_Rings_Ocomm__ring( X ), hAPP( c_Polynomial_Opoly( X,
% 0.95/1.52 c_Groups_Ominus__class_Ominus( tc_Polynomial_Opoly( X ), T, Z ) ), Y ) =
% 0.95/1.52 c_Groups_Ominus__class_Ominus( X, hAPP( c_Polynomial_Opoly( X, T ), Y ),
% 0.95/1.52 hAPP( c_Polynomial_Opoly( X, Z ), Y ) ) }.
% 0.95/1.52 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), v_d____ ) }.
% 0.95/1.52 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.95/1.52 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ozero__class_Ozero( X ) ) =
% 0.95/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.95/1.52 { ! class_Rings_Ocomm__semiring__0( X ), hAPP( c_Polynomial_Opoly( X,
% 0.95/1.52 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) ), Y ) =
% 0.95/1.52 c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.52 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.95/1.52 c_RealVector_Onorm__class_Onorm( X, Y ) = c_Groups_Ozero__class_Ozero(
% 0.95/1.52 tc_RealDef_Oreal ), Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.52 { ! class_RealVector_Oreal__normed__vector( X ), ! Y =
% 0.95/1.52 c_Groups_Ozero__class_Ozero( X ), c_RealVector_Onorm__class_Onorm( X, Y )
% 0.95/1.52 = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.95/1.52 { c_Groups_Ominus__class_Ominus( tc_Int_Oint, X, c_Int_OPls ) = X }.
% 0.95/1.52 { c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit0
% 0.95/1.52 ( X ) ) = c_Int_OBit0( c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X )
% 0.95/1.52 ) }.
% 0.95/1.52 { c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Int_OPls ) = c_Int_OPls }
% 0.95/1.52 .
% 0.95/1.52 { c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Int_OBit0( X ) ) =
% 0.95/1.52 c_Int_OBit0( c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) }.
% 0.95/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.95/1.52 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.95/1.52 .
% 0.95/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.95/1.52 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit1
% 0.95/1.52 ( X ) ) }.
% 0.95/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.95/1.52 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.95/1.52 .
% 0.95/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.95/1.52 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit1
% 0.95/1.52 ( X ) ) }.
% 0.95/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, c_Int_OPls ) }
% 0.95/1.52 .
% 0.95/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.95/1.52 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.95/1.52 .
% 0.95/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.95/1.52 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit0
% 0.95/1.52 ( X ) ) }.
% 0.95/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.95/1.52 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.95/1.52 .
% 0.95/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.95/1.52 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit0
% 0.95/1.52 ( X ) ) }.
% 0.95/1.52 { c_RealVector_Onorm__class_Onorm( tc_RealDef_Oreal, X ) =
% 0.95/1.52 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) }.
% 0.95/1.52 { ! class_Rings_Odivision__ring__inverse__zero( X ),
% 0.95/1.52 c_Rings_Oinverse__class_Odivide( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 0.95/1.52 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.52 { ! class_RealVector_Oreal__normed__field( X ),
% 0.95/1.52 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.95/1.52 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.52 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.95/1.52 c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.95/1.52 }.
% 0.95/1.52 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.95/1.52 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.52 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.95/1.52 c_RealVector_Onorm__class_Onorm( X, Y ) ), ! Y =
% 0.95/1.52 c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.52 { ! class_RealVector_Oreal__normed__vector( X ), Y =
% 0.95/1.52 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless(
% 0.95/1.52 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.95/1.52 c_RealVector_Onorm__class_Onorm( X, Y ) ) }.
% 0.95/1.52 { c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit1
% 0.95/1.52 ( X ) ) = c_Int_OBit0( c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X )
% 0.95/1.52 ) }.
% 0.95/1.52 { c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit0
% 0.95/1.52 ( X ) ) = c_Int_OBit1( c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X )
% 0.95/1.52 ) }.
% 0.95/1.52 { c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Int_OPls, c_Int_OBit0( X )
% 0.95/1.52 ) = c_Int_OBit0( c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Int_OPls
% 0.95/1.52 , X ) ) }.
% 0.95/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( X ),
% 0.95/1.52 c_Int_OPls ), c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls )
% 0.95/1.52 }.
% 0.95/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ),
% 0.95/1.52 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( X ), c_Int_OPls
% 0.95/1.52 ) }.
% 0.95/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.95/1.52 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.95/1.52 .
% 0.95/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.95/1.52 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit0
% 0.95/1.52 ( X ) ) }.
% 0.95/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.95/1.52 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.95/1.52 .
% 0.95/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.95/1.52 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit0
% 0.95/1.52 ( X ) ) }.
% 0.95/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( X ),
% 0.95/1.52 c_Int_OPls ), c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls )
% 0.95/1.52 }.
% 0.95/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ),
% 0.95/1.52 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( X ), c_Int_OPls
% 0.95/1.52 ) }.
% 0.95/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, c_Int_OBit0( X
% 0.95/1.52 ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ) }.
% 0.95/1.52 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ),
% 0.95/1.52 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, c_Int_OBit0( X )
% 0.95/1.52 ) }.
% 0.95/1.52 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.95/1.52 , Y, c_Groups_Ouminus__class_Ouminus( X, Y ) ),
% 0.95/1.52 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ) }
% 0.95/1.52 .
% 0.95/1.52 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.95/1.52 , Y, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 0.95/1.52 , Y, c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.95/1.52 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.95/1.52 c_Int_OPls ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.52 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.95/1.52 , c_Rings_Oinverse__class_Odivide( X, c_Groups_Ouminus__class_Ouminus( X
% 0.95/1.52 , Z ), c_Groups_Ouminus__class_Ouminus( X, Y ) ) =
% 0.95/1.52 c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.95/1.52 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.95/1.52 , c_Groups_Ouminus__class_Ouminus( X, c_Rings_Oinverse__class_Odivide( X
% 0.95/1.52 , Z, Y ) ) = c_Rings_Oinverse__class_Odivide( X, Z,
% 0.95/1.52 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.95/1.52 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.95/1.52 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.52 c_RealVector_Onorm__class_Onorm( X, Y ), c_Groups_Ozero__class_Ozero(
% 0.95/1.52 tc_RealDef_Oreal ) ) }.
% 0.95/1.52 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.95/1.52 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.95/1.52 ), c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless(
% 0.95/1.52 tc_Int_Oint, Y, c_Int_OPls ) }.
% 0.95/1.52 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.95/1.52 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ),
% 0.95/1.52 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.95/1.52 ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.52 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.95/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.95/1.52 c_Int_Onumber__class_Onumber__of( X, Y ) ), c_Orderings_Oord__class_Oless
% 0.95/1.52 ( tc_Int_Oint, c_Int_OPls, Y ) }.
% 0.95/1.52 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.95/1.52 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, Y ),
% 0.95/1.52 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.95/1.52 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.95/1.52 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber__ring( X )
% 0.95/1.52 , c_Rings_Oinverse__class_Odivide( X, Y, c_Int_Onumber__class_Onumber__of
% 0.95/1.52 ( X, c_Int_OPls ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.52 { ! class_RealVector_Oreal__normed__field( X ), Y =
% 0.95/1.52 c_Groups_Ozero__class_Ozero( X ), c_RealVector_Onorm__class_Onorm( X,
% 0.95/1.52 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 0.95/1.52 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.95/1.52 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.95/1.52 ( X, Y ) ) }.
% 0.95/1.52 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.95/1.52 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.95/1.52 ), c_Groups_Ozero__class_Ozero( X ) ), c_Groups_Oabs__class_Oabs( X,
% 0.95/1.52 c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.95/1.52 c_Groups_Ouminus__class_Ouminus( X, c_Int_Onumber__class_Onumber__of( X,
% 0.95/1.52 Y ) ) }.
% 0.95/1.52 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ),
% 0.95/1.52 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.95/1.52 ), c_Groups_Ozero__class_Ozero( X ) ), c_Groups_Oabs__class_Oabs( X,
% 0.95/1.52 c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.95/1.52 c_Int_Onumber__class_Onumber__of( X, Y ) }.
% 0.95/1.52 { ! class_Rings_Olinordered__idom( X ), Z = Y,
% 0.95/1.52 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.95/1.52 X, Y, Z ) }.
% 0.95/1.52 { ! class_Int_Onumber__ring( X ), ! class_Int_Oring__char__0( X ), !
% 0.95/1.52 c_Int_Onumber__class_Onumber__of( X, Z ) =
% 0.95/1.52 c_Int_Onumber__class_Onumber__of( X, Y ), Z = Y }.
% 0.95/1.52 { ! class_Int_Onumber__ring( X ), ! class_Int_Oring__char__0( X ), ! Z = Y
% 0.95/1.52 , c_Int_Onumber__class_Onumber__of( X, Z ) =
% 0.95/1.52 c_Int_Onumber__class_Onumber__of( X, Y ) }.
% 0.95/1.52 { ! class_Int_Onumber( X ), ! c_Int_Onumber__class_Onumber__of( X, Z ) = Y
% 0.95/1.52 , Y = c_Int_Onumber__class_Onumber__of( X, Z ) }.
% 0.95/1.52 { ! class_Int_Onumber( X ), ! Y = c_Int_Onumber__class_Onumber__of( X, Z )
% 0.95/1.52 , c_Int_Onumber__class_Onumber__of( X, Z ) = Y }.
% 0.95/1.52 { ! c_Int_OBit1( Y ) = c_Int_OBit1( X ), Y = X }.
% 0.95/1.52 { ! Y = X, c_Int_OBit1( Y ) = c_Int_OBit1( X ) }.
% 0.95/1.52 { ! c_Int_OBit0( Y ) = c_Int_OBit0( X ), Y = X }.
% 0.95/1.52 { ! Y = X, c_Int_OBit0( Y ) = c_Int_OBit0( X ) }.
% 0.95/1.52 { ! class_Int_Oring__char__0( X ), ! class_Rings_Oidom( X ), !
% 0.95/1.52 c_Polynomial_Opoly( X, Z ) = c_Polynomial_Opoly( X, Y ), Z = Y }.
% 0.95/1.52 { ! class_Int_Oring__char__0( X ), ! class_Rings_Oidom( X ), ! Z = Y,
% 0.95/1.52 c_Polynomial_Opoly( X, Z ) = c_Polynomial_Opoly( X, Y ) }.
% 0.95/1.52 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.95/1.52 class_Int_Onumber__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.95/1.52 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless( X,
% 0.95/1.52 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 0.95/1.52 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.95/1.52 ) ) ) ) ) }.
% 0.95/1.52 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.95/1.52 class_Int_Onumber__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.95/1.52 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 0.95/1.52 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.95/1.52 ) ) ) ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero
% 0.95/1.52 ( X ), Y ) }.
% 0.95/1.52 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.95/1.52 class_Int_Onumber__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.95/1.52 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless( X,
% 0.95/1.52 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 0.95/1.52 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.95/1.52 ) ) ) ) ) }.
% 0.95/1.52 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.95/1.53 ), c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, Y ) }.
% 0.95/1.53 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, Y ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.95/1.53 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.95/1.53 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Z, Y ) ) =
% 0.95/1.53 c_Groups_Ominus__class_Ominus( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.95/1.53 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.95/1.53 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y ) ) =
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( X, c_Int_Onumber__class_Onumber__of( X,
% 0.95/1.53 Y ) ) }.
% 0.95/1.53 { ! class_Int_Onumber__ring( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( X, c_Groups_Ouminus__class_Ouminus(
% 0.95/1.53 tc_Int_Oint, Y ) ) }.
% 0.95/1.53 { ! class_RealVector_Oreal__normed__field( X ),
% 0.95/1.53 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X, T,
% 0.95/1.53 Z ), Y ) = c_Groups_Ominus__class_Ominus( X,
% 0.95/1.53 c_Rings_Oinverse__class_Odivide( X, T, Y ),
% 0.95/1.53 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.95/1.53 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.95/1.53 c_Groups_Ominus__class_Ominus( X, T, Z ), Y ) =
% 0.95/1.53 c_Groups_Ominus__class_Ominus( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.95/1.53 Y ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.95/1.53 { ! c_Int_OBit1( X ) = c_Int_OPls }.
% 0.95/1.53 { ! c_Int_OPls = c_Int_OBit1( X ) }.
% 0.95/1.53 { ! c_Int_OBit1( Y ) = c_Int_OBit0( X ) }.
% 0.95/1.53 { ! c_Int_OBit0( Y ) = c_Int_OBit1( X ) }.
% 0.95/1.53 { ! c_Int_OBit0( X ) = c_Int_OPls, X = c_Int_OPls }.
% 0.95/1.53 { ! X = c_Int_OPls, c_Int_OBit0( X ) = c_Int_OPls }.
% 0.95/1.53 { ! c_Int_OPls = c_Int_OBit0( X ), c_Int_OPls = X }.
% 0.95/1.53 { ! c_Int_OPls = X, c_Int_OPls = c_Int_OBit0( X ) }.
% 0.95/1.53 { c_Int_OBit0( c_Int_OPls ) = c_Int_OPls }.
% 0.95/1.53 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus( X, Z,
% 0.95/1.53 Y ) ) = c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus
% 0.95/1.53 ( X, Y, Z ) ) }.
% 0.95/1.53 { ! class_RealVector_Oreal__normed__field( X ),
% 0.95/1.53 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ouminus__class_Ouminus( X, Z
% 0.95/1.53 ), Y ) = c_Groups_Ouminus__class_Ouminus( X,
% 0.95/1.53 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.95/1.53 { ! class_Rings_Odivision__ring( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.95/1.53 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 0.95/1.53 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ouminus__class_Ouminus( X, Z
% 0.95/1.53 ), Y ) }.
% 0.95/1.53 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ouminus__class_Ouminus( X, Y
% 0.95/1.53 ) ) = c_RealVector_Onorm__class_Onorm( X, Y ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.95/1.53 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) =
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) }.
% 0.95/1.53 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.95/1.53 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) = X }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.95/1.53 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) =
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) }.
% 0.95/1.53 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.95/1.53 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) = X }.
% 0.95/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.95/1.53 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oabs__class_Oabs( X, Z ), Y
% 0.95/1.53 ) = c_Groups_Oabs__class_Oabs( X, c_Rings_Oinverse__class_Odivide( X, Z
% 0.95/1.53 , Y ) ) }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.95/1.53 c_Groups_Oabs__class_Oabs( X, Y ) = c_Groups_Ouminus__class_Ouminus( X, Y
% 0.95/1.53 ) }.
% 0.95/1.53 { ! class_Groups_Oabs__if( X ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ) ), c_Groups_Oabs__class_Oabs( X, Y ) =
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( X, Y ) }.
% 0.95/1.53 { ! class_Groups_Oabs__if( X ), c_Orderings_Oord__class_Oless( X, Y,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ) ), c_Groups_Oabs__class_Oabs( X, Y ) = Y
% 0.95/1.53 }.
% 0.95/1.53 { ! class_Fields_Olinordered__field( X ), Y = c_Groups_Ozero__class_Ozero(
% 0.95/1.53 X ), c_Groups_Oabs__class_Oabs( X, c_Rings_Oinverse__class_Odivide( X, Z
% 0.95/1.53 , Y ) ) = c_Rings_Oinverse__class_Odivide( X, c_Groups_Oabs__class_Oabs(
% 0.95/1.53 X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.95/1.53 c_Groups_Oabs__class_Oabs( X, Y ) = Y }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.95/1.53 c_Groups_Oabs__class_Oabs( X, Y ) ), ! Y = c_Groups_Ozero__class_Ozero( X
% 0.95/1.53 ) }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ), Y =
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless( X,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Oabs__class_Oabs( X, Y ),
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.53 { ! class_Int_Onumber__ring( X ), c_Groups_Ozero__class_Ozero( X ) =
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( X, c_Int_OPls ) }.
% 0.95/1.53 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ouminus__class_Ouminus(
% 0.95/1.53 X, Y ) }.
% 0.95/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.53 X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, T,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.95/1.53 c_Rings_Oinverse__class_Odivide( X, Y, T ),
% 0.95/1.53 c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.95/1.53 { c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.95/1.53 ( tc_Int_Oint ) ) = c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), c_Groups_Oabs__class_Oabs(
% 0.95/1.53 tc_Int_Oint, X ) = c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) }.
% 0.95/1.53 { c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), c_Groups_Oabs__class_Oabs(
% 0.95/1.53 tc_Int_Oint, X ) = X }.
% 0.95/1.53 { c_Groups_Ouminus__class_Ouminus( tc_Int_Oint,
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) = X }.
% 0.95/1.53 { c_Groups_Ouminus__class_Ouminus( tc_Int_Oint,
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) =
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_Int_Oint,
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ominus__class_Ominus
% 0.95/1.53 ( tc_Int_Oint, Y, X ), c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X ),
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 0.95/1.53 { c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), Y = X,
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, Y ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.95/1.53 ( tc_Nat_Onat ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.95/1.53 tc_Nat_Onat ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) }.
% 0.95/1.53 { c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OPls ) =
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.53 { c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) =
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OPls ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( X ),
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( X ),
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.95/1.53 { c_Int_OPls = c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.95/1.53 { c_Groups_Ozero__class_Ozero( tc_Int_Oint ) =
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OPls ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( X ),
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( X ),
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.95/1.53 { ! class_Int_Oring__char__0( X ), ! class_Rings_Oidom( X ), !
% 0.95/1.53 c_Polynomial_Opoly( X, Y ) = c_Polynomial_Opoly( X,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) ), Y =
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.53 { ! class_Int_Oring__char__0( X ), ! class_Rings_Oidom( X ), ! Y =
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ),
% 0.95/1.53 c_Polynomial_Opoly( X, Y ) = c_Polynomial_Opoly( X,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) ) }.
% 0.95/1.53 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.53 tc_Polynomial_Opoly( X ), Y, c_Groups_Ozero__class_Ozero(
% 0.95/1.53 tc_Polynomial_Opoly( X ) ) ), c_Groups_Oabs__class_Oabs(
% 0.95/1.53 tc_Polynomial_Opoly( X ), Y ) = c_Groups_Ouminus__class_Ouminus(
% 0.95/1.53 tc_Polynomial_Opoly( X ), Y ) }.
% 0.95/1.53 { ! class_Rings_Olinordered__idom( X ), c_Orderings_Oord__class_Oless(
% 0.95/1.53 tc_Polynomial_Opoly( X ), Y, c_Groups_Ozero__class_Ozero(
% 0.95/1.53 tc_Polynomial_Opoly( X ) ) ), c_Groups_Oabs__class_Oabs(
% 0.95/1.53 tc_Polynomial_Opoly( X ), Y ) = Y }.
% 0.95/1.53 { ! class_Groups_Oab__group__add( X ), c_Groups_Ouminus__class_Ouminus(
% 0.95/1.53 tc_Polynomial_Opoly( X ), c_Groups_Ozero__class_Ozero(
% 0.95/1.53 tc_Polynomial_Opoly( X ) ) ) = c_Groups_Ozero__class_Ozero(
% 0.95/1.53 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.53 { ! class_Groups_Oab__group__add( X ), c_Groups_Ominus__class_Ominus(
% 0.95/1.53 tc_Polynomial_Opoly( X ), Y, c_Groups_Ozero__class_Ozero(
% 0.95/1.53 tc_Polynomial_Opoly( X ) ) ) = Y }.
% 0.95/1.53 { ! class_Groups_Oab__group__add( X ), c_Groups_Ominus__class_Ominus(
% 0.95/1.53 tc_Polynomial_Opoly( X ), c_Groups_Ozero__class_Ozero(
% 0.95/1.53 tc_Polynomial_Opoly( X ) ), Y ) = c_Groups_Ouminus__class_Ouminus(
% 0.95/1.53 tc_Polynomial_Opoly( X ), Y ) }.
% 0.95/1.53 { ! class_Groups_Ozero( X ), ! c_Groups_Ozero__class_Ozero( X ) = Y, Y =
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.53 { ! class_Groups_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X ),
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ) = Y }.
% 0.95/1.53 { ! class_Groups_Oab__group__add( X ), ! c_Groups_Ominus__class_Ominus( X,
% 0.95/1.53 U, T ) = c_Groups_Ominus__class_Ominus( X, Z, Y ), ! U = T, Z = Y }.
% 0.95/1.53 { ! class_Groups_Oab__group__add( X ), ! c_Groups_Ominus__class_Ominus( X,
% 0.95/1.53 U, T ) = c_Groups_Ominus__class_Ominus( X, Z, Y ), ! Z = Y, U = T }.
% 0.95/1.53 { ! class_Groups_Ogroup__add( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( X, Y ) ) = Y }.
% 0.95/1.53 { ! class_Groups_Ogroup__add( X ), ! Z = c_Groups_Ouminus__class_Ouminus( X
% 0.95/1.53 , Y ), Y = c_Groups_Ouminus__class_Ouminus( X, Z ) }.
% 0.95/1.53 { ! class_Groups_Ogroup__add( X ), ! Y = c_Groups_Ouminus__class_Ouminus( X
% 0.95/1.53 , Z ), Z = c_Groups_Ouminus__class_Ouminus( X, Y ) }.
% 0.95/1.53 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ouminus__class_Ouminus( X, Z
% 0.95/1.53 ) = Y, c_Groups_Ouminus__class_Ouminus( X, Y ) = Z }.
% 0.95/1.53 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ouminus__class_Ouminus( X, Y
% 0.95/1.53 ) = Z, c_Groups_Ouminus__class_Ouminus( X, Z ) = Y }.
% 0.95/1.53 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ouminus__class_Ouminus( X, Z
% 0.95/1.53 ) = c_Groups_Ouminus__class_Ouminus( X, Y ), Z = Y }.
% 0.95/1.53 { ! class_Groups_Ogroup__add( X ), ! Z = Y, c_Groups_Ouminus__class_Ouminus
% 0.95/1.53 ( X, Z ) = c_Groups_Ouminus__class_Ouminus( X, Y ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ), alpha1( X, Y ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 0.95/1.53 { ! alpha1( X, Y ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) }.
% 0.95/1.53 { ! alpha1( X, Y ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ) }.
% 0.95/1.53 { c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), alpha1( X, Y ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ), alpha1( X
% 0.95/1.53 , Y ) }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.95/1.53 c_Groups_Oabs__class_Oabs( X, c_Groups_Oabs__class_Oabs( X, Y ) ) =
% 0.95/1.53 c_Groups_Oabs__class_Oabs( X, Y ) }.
% 0.95/1.53 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X, Y,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.95/1.53 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X, Y, Y )
% 0.95/1.53 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.53 { ! class_Groups_Oab__group__add( X ), ! Z = Y,
% 0.95/1.53 c_Groups_Ominus__class_Ominus( X, Z, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.95/1.53 ) }.
% 0.95/1.53 { ! class_Groups_Oab__group__add( X ), ! c_Groups_Ominus__class_Ominus( X,
% 0.95/1.53 Z, Y ) = c_Groups_Ozero__class_Ozero( X ), Z = Y }.
% 0.95/1.53 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ominus__class_Ominus( X, Z, Y
% 0.95/1.53 ) = c_Groups_Ozero__class_Ozero( X ), Z = Y }.
% 0.95/1.53 { ! class_Groups_Ogroup__add( X ), ! Z = Y, c_Groups_Ominus__class_Ominus(
% 0.95/1.53 X, Z, Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.95/1.53 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.95/1.53 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, U, T ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.95/1.53 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.95/1.53 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, Z, Y ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( X, U, T ) }.
% 0.95/1.53 { ! class_Groups_Ogroup__add( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.53 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ozero__class_Ozero( X ) =
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( X, Y ), c_Groups_Ozero__class_Ozero( X )
% 0.95/1.53 = Y }.
% 0.95/1.53 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ozero__class_Ozero( X ) = Y,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ) = c_Groups_Ouminus__class_Ouminus( X, Y
% 0.95/1.53 ) }.
% 0.95/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), ! Y =
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( X, Y ), Y = c_Groups_Ozero__class_Ozero
% 0.95/1.53 ( X ) }.
% 0.95/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), ! Y =
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ouminus__class_Ouminus( X
% 0.95/1.53 , Y ) }.
% 0.95/1.53 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ouminus__class_Ouminus( X, Y
% 0.95/1.53 ) = c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X
% 0.95/1.53 ) }.
% 0.95/1.53 { ! class_Groups_Ogroup__add( X ), ! Y = c_Groups_Ozero__class_Ozero( X ),
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( X, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.95/1.53 ) }.
% 0.95/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( X, Y ) = Y, Y =
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), ! Y =
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ), c_Groups_Ouminus__class_Ouminus( X, Y )
% 0.95/1.53 = Y }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ouminus__class_Ouminus( X,
% 0.95/1.53 Y ) ), c_Orderings_Oord__class_Oless( X, Y,
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( X, Z ) ) }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ouminus__class_Ouminus( X,
% 0.95/1.53 Z ) ), c_Orderings_Oord__class_Oless( X, Z,
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Z )
% 0.95/1.53 , Y ), c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus
% 0.95/1.53 ( X, Y ), Z ) }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Y )
% 0.95/1.53 , Z ), c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus
% 0.95/1.53 ( X, Z ), Y ) }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Z )
% 0.95/1.53 , c_Groups_Ouminus__class_Ouminus( X, Y ) ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( X, Y, Z ), c_Orderings_Oord__class_Oless(
% 0.95/1.53 X, c_Groups_Ouminus__class_Ouminus( X, Z ),
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.95/1.53 { ! class_Groups_Oab__group__add( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.95/1.53 c_Groups_Ominus__class_Ominus( X, Z, Y ) ) =
% 0.95/1.53 c_Groups_Ominus__class_Ominus( X, Y, Z ) }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.95/1.53 c_Groups_Oabs__class_Oabs( X, c_Groups_Ozero__class_Ozero( X ) ) =
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.95/1.53 c_Groups_Oabs__class_Oabs( X, Y ) = c_Groups_Ozero__class_Ozero( X ), Y =
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ), ! Y =
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oabs__class_Oabs( X, Y ) =
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.53 { ! class_Fields_Ofield__inverse__zero( X ),
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( X, c_Rings_Oinverse__class_Odivide( X, Z
% 0.95/1.53 , Y ) ) = c_Rings_Oinverse__class_Odivide( X, Z,
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.95/1.53 { ! class_Fields_Ofield__inverse__zero( X ),
% 0.95/1.53 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ouminus__class_Ouminus( X, Z
% 0.95/1.53 ), c_Groups_Ouminus__class_Ouminus( X, Y ) ) =
% 0.95/1.53 c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.95/1.53 c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, Z, Y ) )
% 0.95/1.53 = c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, Y, Z )
% 0.95/1.53 ) }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.95/1.53 c_Groups_Oabs__class_Oabs( X, c_Groups_Ouminus__class_Ouminus( X, Y ) ) =
% 0.95/1.53 c_Groups_Oabs__class_Oabs( X, Y ) }.
% 0.95/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ),
% 0.95/1.53 c_Groups_Oabs__class_Oabs( X, c_Rings_Oinverse__class_Odivide( X, Z, Y )
% 0.95/1.53 ) = c_Rings_Oinverse__class_Odivide( X, c_Groups_Oabs__class_Oabs( X, Z
% 0.95/1.53 ), c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.95/1.53 X, c_Groups_Ominus__class_Ominus( X, Z, Y ), c_Groups_Ozero__class_Ozero
% 0.95/1.53 ( X ) ) }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ominus__class_Ominus( X, Z, Y
% 0.95/1.53 ), c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 0.95/1.53 , Z, Y ) }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( X, Y ) ), c_Orderings_Oord__class_Oless
% 0.95/1.53 ( X, Y, c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Y )
% 0.95/1.53 , c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Y )
% 0.95/1.53 , c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Y )
% 0.95/1.53 , Y ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.95/1.53 , Y ) }.
% 0.95/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Y )
% 0.95/1.53 , Y ) }.
% 0.95/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.95/1.53 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ), alpha2( X, Y, Z ), alpha35
% 0.95/1.53 ( X, Y, Z ) }.
% 0.95/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha2( X, Y, Z
% 0.95/1.53 ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.95/1.53 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.95/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha35( X, Y, Z
% 0.95/1.53 ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.95/1.53 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.95/1.53 { ! alpha35( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.53 { ! alpha35( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.95/1.53 , ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.95/1.53 ), alpha35( X, Y, Z ) }.
% 0.95/1.53 { ! alpha2( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.95/1.53 { ! alpha2( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.95/1.53 , ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.95/1.53 ), alpha2( X, Y, Z ) }.
% 0.95/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, Z,
% 0.95/1.53 Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha3( X, Y, Z ), alpha36( X, Y
% 0.95/1.53 , Z ) }.
% 0.95/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha3( X, Y, Z
% 0.95/1.53 ), c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X
% 0.95/1.53 , Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha36( X, Y, Z
% 0.95/1.53 ), c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X
% 0.95/1.53 , Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.53 { ! alpha36( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.53 { ! alpha36( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.95/1.53 , ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.95/1.53 ), alpha36( X, Y, Z ) }.
% 0.95/1.53 { ! alpha3( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.95/1.53 { ! alpha3( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.95/1.53 , ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.95/1.53 ), alpha3( X, Y, Z ) }.
% 0.95/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.53 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.95/1.53 ( X, c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless
% 0.95/1.53 ( X, c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X
% 0.95/1.53 , Y, Z ) ) }.
% 0.95/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.53 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.95/1.53 ( X, Z, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 0.95/1.53 ( X, c_Rings_Oinverse__class_Odivide( X, Y, Z ),
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.53 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.95/1.53 ( X, c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless
% 0.95/1.53 ( X, c_Rings_Oinverse__class_Odivide( X, Y, Z ),
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.53 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.95/1.53 ( X, Z, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 0.95/1.53 ( X, c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X
% 0.95/1.53 , Y, Z ) ) }.
% 0.95/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.53 X, Z, Y ), ! c_Orderings_Oord__class_Oless( X,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless( X,
% 0.95/1.53 c_Rings_Oinverse__class_Odivide( X, Z, T ),
% 0.95/1.53 c_Rings_Oinverse__class_Odivide( X, Y, T ) ) }.
% 0.95/1.53 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.95/1.53 tc_Nat_Onat ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0
% 0.95/1.53 ( c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, skol4( X ), Y ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, v_g____( hAPP(
% 0.95/1.53 v_f____, Y ) ), v_z____ ) ), X ) }.
% 0.95/1.53 { ! class_Groups_Oab__group__add( X ), c_Groups_Ominus__class_Ominus( X,
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( X, Z ), c_Groups_Ouminus__class_Ouminus
% 0.95/1.53 ( X, Y ) ) = c_Groups_Ouminus__class_Ouminus( X,
% 0.95/1.53 c_Groups_Ominus__class_Ominus( X, Z, Y ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol5( T, U, W ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, T, Z ) ) ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, T, Z ) ), skol5( X, Y
% 0.95/1.53 , Z ) ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, hAPP(
% 0.95/1.53 c_Polynomial_Opoly( tc_Complex_Ocomplex, Y ), T ), hAPP(
% 0.95/1.53 c_Polynomial_Opoly( tc_Complex_Ocomplex, Y ), Z ) ) ), X ) }.
% 0.95/1.53 { ! class_Rings_Oidom( X ), ! hAPP( c_Polynomial_Opoly( X, Z ), Y ) =
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero(
% 0.95/1.53 tc_Polynomial_Opoly( X ) ), ! c_Polynomial_Oorder( X, Y, Z ) =
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.53 { ! class_Rings_Oidom( X ), ! Z = c_Groups_Ozero__class_Ozero(
% 0.95/1.53 tc_Polynomial_Opoly( X ) ), hAPP( c_Polynomial_Opoly( X, Z ), Y ) =
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.53 { ! class_Rings_Oidom( X ), c_Polynomial_Oorder( X, Y, Z ) =
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), hAPP( c_Polynomial_Opoly( X,
% 0.95/1.53 Z ), Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y,
% 0.95/1.53 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.95/1.53 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.53 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.95/1.53 c_Int_OBit1( c_Int_OPls ) ) ) ), X ) }.
% 0.95/1.53 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.95/1.53 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.95/1.53 c_Int_OBit1( c_Int_OPls ) ) ) ) ), c_Groups_Ozero__class_Ozero(
% 0.95/1.53 tc_RealDef_Oreal ) ) }.
% 0.95/1.53 { ! class_Groups_Ozero( X ), !
% 0.95/1.53 c_Fundamental__Theorem__Algebra__Mirabelle_Opsize( X, Y ) =
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y =
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.53 { ! class_Groups_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero(
% 0.95/1.53 tc_Polynomial_Opoly( X ) ),
% 0.95/1.53 c_Fundamental__Theorem__Algebra__Mirabelle_Opsize( X, Y ) =
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.95/1.53 class_Int_Onumber__ring( X ), c_Orderings_Oord__class_Oless( X,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.95/1.53 c_Groups_Oone__class_Oone( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.95/1.53 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.95/1.53 { ! c_Groups_Ozero__class_Ozero( tc_Int_Oint ) = c_Groups_Oone__class_Oone
% 0.95/1.53 ( tc_Int_Oint ) }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( X, Z, Y ) ), c_Groups_Oplus__class_Oplus( X
% 0.95/1.53 , c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) )
% 0.95/1.53 ) }.
% 0.95/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.95/1.53 c_Groups_Oplus__class_Oplus( X, Y, Y ) ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.95/1.53 ) }.
% 0.95/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.95/1.53 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.95/1.53 ), c_Groups_Oplus__class_Oplus( X, Y, Y ) ) }.
% 0.95/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Y,
% 0.95/1.53 Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.95/1.53 ) }.
% 0.95/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.95/1.53 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X
% 0.95/1.53 , Y, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.53 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.95/1.53 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.95/1.53 X ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, Y, Z )
% 0.95/1.53 ) }.
% 0.95/1.53 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.95/1.53 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.95/1.53 X ), Z ), ! c_Groups_Oplus__class_Oplus( X, Y, Z ) =
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.95/1.53 .
% 0.95/1.53 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.95/1.53 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.95/1.53 X ), Z ), ! c_Groups_Oplus__class_Oplus( X, Y, Z ) =
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ) }
% 0.95/1.53 .
% 0.95/1.53 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.95/1.53 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.95/1.53 X ), Z ), ! Y = c_Groups_Ozero__class_Ozero( X ), ! Z =
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, Y, Z )
% 0.95/1.53 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.53 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.95/1.53 ), ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Oplus__class_Oplus( X,
% 0.95/1.53 Y, Z ) ) }.
% 0.95/1.53 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.95/1.53 ), ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Oplus__class_Oplus( X,
% 0.95/1.53 Z, Y ) ) }.
% 0.95/1.53 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.95/1.53 ), ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.95/1.53 , c_Groups_Oplus__class_Oplus( X, Y, Z ), c_Groups_Ozero__class_Ozero( X
% 0.95/1.53 ) ) }.
% 0.95/1.53 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( X, Z, Y ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Z, U )
% 0.95/1.53 , c_Groups_Oplus__class_Oplus( X, Y, T ) ) }.
% 0.95/1.53 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( X, U, T ), c_Orderings_Oord__class_Oless(
% 0.95/1.53 X, c_Groups_Oplus__class_Oplus( X, Z, U ), c_Groups_Oplus__class_Oplus( X
% 0.95/1.53 , Y, T ) ) }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.95/1.53 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.95/1.53 T ), c_Groups_Oplus__class_Oplus( X, Y, T ) ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.95/1.53 { ! class_Groups_Ocancel__semigroup__add( X ), !
% 0.95/1.53 c_Groups_Oplus__class_Oplus( X, Z, T ) = c_Groups_Oplus__class_Oplus( X,
% 0.95/1.53 Y, T ), Z = Y }.
% 0.95/1.53 { ! class_Groups_Ocancel__ab__semigroup__add( X ), !
% 0.95/1.53 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.95/1.53 T, Y ), Z = Y }.
% 0.95/1.53 { ! class_Groups_Ocancel__semigroup__add( X ), !
% 0.95/1.53 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.95/1.53 T, Y ), Z = Y }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__semigroup__add( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.95/1.53 U ), c_Groups_Oplus__class_Oplus( X, Y, T ) ) }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__semigroup__add( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.95/1.53 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__semigroup__add( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.95/1.53 T ), c_Groups_Oplus__class_Oplus( X, Y, T ) ) }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.95/1.53 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.95/1.53 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.95/1.53 Z ), c_Groups_Oplus__class_Oplus( X, Y, Z ) ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, T, Y ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.95/1.53 Z ), c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.95/1.53 { ! class_Groups_Ocancel__semigroup__add( X ), !
% 0.95/1.53 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.95/1.53 Y, Z ), T = Y }.
% 0.95/1.53 { ! class_Groups_Ocancel__semigroup__add( X ), ! T = Y,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.95/1.53 Y, Z ) }.
% 0.95/1.53 { ! class_Groups_Ocancel__semigroup__add( X ), !
% 0.95/1.53 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.95/1.53 T, Y ), Z = Y }.
% 0.95/1.53 { ! class_Groups_Ocancel__semigroup__add( X ), ! Z = Y,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.95/1.53 T, Y ) }.
% 0.95/1.53 { ! class_Groups_Oab__semigroup__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.95/1.53 ( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y ) ) }.
% 0.95/1.53 { ! class_Groups_Oone( X ), ! c_Groups_Oone__class_Oone( X ) = Y, Y =
% 0.95/1.53 c_Groups_Oone__class_Oone( X ) }.
% 0.95/1.53 { ! class_Groups_Oone( X ), ! Y = c_Groups_Oone__class_Oone( X ),
% 0.95/1.53 c_Groups_Oone__class_Oone( X ) = Y }.
% 0.95/1.53 { ! class_Rings_Olinordered__semidom( X ), c_Orderings_Oord__class_Oless( X
% 0.95/1.53 , Y, c_Groups_Oplus__class_Oplus( X, Y, c_Groups_Oone__class_Oone( X ) )
% 0.95/1.53 ) }.
% 0.95/1.53 { ! class_Rings_Olinordered__semidom( X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.95/1.53 c_Groups_Oone__class_Oone( X ) ) }.
% 0.95/1.53 { ! class_Rings_Olinordered__semidom( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ),
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.53 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( X, T ), c_Groups_Oplus__class_Oplus( X
% 0.95/1.53 , c_Int_Onumber__class_Onumber__of( X, Z ), Y ) ) =
% 0.95/1.53 c_Groups_Oplus__class_Oplus( X, c_Int_Onumber__class_Onumber__of( X,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, T, Z ) ), Y ) }.
% 0.95/1.53 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( X, Z ),
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.95/1.53 tc_Int_Oint, Z, Y ) ) }.
% 0.95/1.53 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, Y ) ) =
% 0.95/1.53 c_Groups_Oplus__class_Oplus( X, c_Int_Onumber__class_Onumber__of( X, Z )
% 0.95/1.53 , c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.95/1.53 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.95/1.53 , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Z, Y ) }.
% 0.95/1.53 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Z, Y ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.95/1.53 , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.95/1.53 { ! class_RealVector_Oreal__normed__algebra__1( X ),
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( X, c_Groups_Oone__class_Oone( X ) ) =
% 0.95/1.53 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.95/1.53 { c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) = X }.
% 0.95/1.53 { ! class_Rings_Ocomm__semiring__0( X ), hAPP( c_Polynomial_Opoly( X,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Polynomial_Opoly( X ), T, Z ) ), Y ) =
% 0.95/1.53 c_Groups_Oplus__class_Oplus( X, hAPP( c_Polynomial_Opoly( X, T ), Y ),
% 0.95/1.53 hAPP( c_Polynomial_Opoly( X, Z ), Y ) ) }.
% 0.95/1.53 { ! class_Rings_Ocomm__semiring__1( X ), hAPP( c_Polynomial_Opoly( X,
% 0.95/1.53 c_Groups_Oone__class_Oone( tc_Polynomial_Opoly( X ) ) ), Y ) =
% 0.95/1.53 c_Groups_Oone__class_Oone( X ) }.
% 0.95/1.53 { ! c_Transcendental_Opi = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal )
% 0.95/1.53 }.
% 0.95/1.53 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Oone__class_Oone( X )
% 0.95/1.53 ) = c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.95/1.53 tc_Int_Oint, Y, c_Int_OBit1( c_Int_OPls ) ) ) }.
% 0.95/1.53 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.95/1.53 c_Groups_Oone__class_Oone( X ), c_Int_Onumber__class_Onumber__of( X, Y )
% 0.95/1.53 ) = c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.95/1.53 tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), Y ) ) }.
% 0.95/1.53 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.95/1.53 , Y ), c_Groups_Oone__class_Oone( X ) ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OBit1(
% 0.95/1.53 c_Int_OPls ) ) }.
% 0.95/1.53 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OBit1(
% 0.95/1.53 c_Int_OPls ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Oone__class_Oone( X )
% 0.95/1.53 ) }.
% 0.95/1.53 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ),
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( c_Int_OPls )
% 0.95/1.53 , Y ) }.
% 0.95/1.53 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( c_Int_OPls )
% 0.95/1.53 , Y ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X
% 0.95/1.53 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.95/1.53 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.95/1.53 ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.95/1.53 , Z ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.95/1.53 , c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.95/1.53 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.95/1.53 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.95/1.53 , Z ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.95/1.53 , c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.95/1.53 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.95/1.53 ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( X, T, c_Groups_Oplus__class_Oplus( X, Y, Z
% 0.95/1.53 ) ) }.
% 0.95/1.53 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.95/1.53 ), ! c_Orderings_Oord__class_Oless( X, T, Z ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( X, T, c_Groups_Oplus__class_Oplus( X, Y, Z
% 0.95/1.53 ) ) }.
% 0.95/1.53 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.95/1.53 ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.95/1.53 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y
% 0.95/1.53 , Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.53 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.95/1.53 ), ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.95/1.53 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y
% 0.95/1.53 , Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.53 { ! class_Rings_Olinordered__semidom( X ), c_Orderings_Oord__class_Oless( X
% 0.95/1.53 , c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.95/1.53 c_Groups_Oone__class_Oone( X ), c_Groups_Oone__class_Oone( X ) ) ) }.
% 0.95/1.53 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( X, T ), c_Groups_Ominus__class_Ominus(
% 0.95/1.53 X, c_Int_Onumber__class_Onumber__of( X, Z ), Y ) ) =
% 0.95/1.53 c_Groups_Ominus__class_Ominus( X, c_Int_Onumber__class_Onumber__of( X,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, T, Z ) ), Y ) }.
% 0.95/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.53 X, Z, Y ), c_Orderings_Oord__class_Oless( X,
% 0.95/1.53 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.95/1.53 ), c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ),
% 0.95/1.53 c_Groups_Oone__class_Oone( X ) ) ), Y ) }.
% 0.95/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.53 X, Z, Y ), c_Orderings_Oord__class_Oless( X, Z,
% 0.95/1.53 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.95/1.53 ), c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ),
% 0.95/1.53 c_Groups_Oone__class_Oone( X ) ) ) ) }.
% 0.95/1.53 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.95/1.53 c_Int_OBit1( Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ),
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X,
% 0.95/1.53 c_Groups_Ominus__class_Ominus( X, c_Groups_Oplus__class_Oplus( X, U, T )
% 0.95/1.53 , c_Groups_Oplus__class_Oplus( X, Z, Y ) ) ), c_Groups_Oplus__class_Oplus
% 0.95/1.53 ( X, c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, U, Z
% 0.95/1.53 ) ), c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, T,
% 0.95/1.53 Y ) ) ) ) }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X,
% 0.95/1.53 c_Groups_Ominus__class_Ominus( X, Z, Y ) ), c_Groups_Oplus__class_Oplus(
% 0.95/1.53 X, c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) )
% 0.95/1.53 ) }.
% 0.95/1.53 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( X, Z ), Y ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( X, U ), T ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( X, c_Groups_Oplus__class_Oplus( X, Z, U
% 0.95/1.53 ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, T ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs
% 0.95/1.53 ( tc_RealDef_Oreal, X ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) )
% 0.95/1.53 , X ) }.
% 0.95/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.95/1.53 c_Groups_Oplus__class_Oplus( X, Y, Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.95/1.53 , Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), ! Y =
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.95/1.53 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.53 { ! class_Groups_Omonoid__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ), Y ) = Y }.
% 0.95/1.53 { ! class_Groups_Ocomm__monoid__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ), Y ) = Y }.
% 0.95/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ) = c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.95/1.53 , Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), ! Y =
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ), c_Groups_Ozero__class_Ozero( X ) =
% 0.95/1.53 c_Groups_Oplus__class_Oplus( X, Y, Y ) }.
% 0.95/1.53 { ! class_Groups_Omonoid__add( X ), c_Groups_Oplus__class_Oplus( X, Y,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.95/1.53 { ! class_Groups_Ocomm__monoid__add( X ), c_Groups_Oplus__class_Oplus( X, Y
% 0.95/1.53 , c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.95/1.53 , c_Groups_Oplus__class_Oplus( X, T, Y ) ), c_Orderings_Oord__class_Oless
% 0.95/1.53 ( X, Z, Y ) }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Z, T )
% 0.95/1.53 , c_Groups_Oplus__class_Oplus( X, Y, T ) ), c_Orderings_Oord__class_Oless
% 0.95/1.53 ( X, Z, Y ) }.
% 0.95/1.53 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.95/1.53 ( X, U, T ), c_Orderings_Oord__class_Oless( X,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( X, Z, U ), c_Groups_Oplus__class_Oplus( X, Y
% 0.95/1.53 , T ) ) }.
% 0.95/1.53 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.95/1.53 X, c_Groups_Oplus__class_Oplus( X, T, Z ), c_Groups_Oplus__class_Oplus( X
% 0.95/1.53 , T, Y ) ) }.
% 0.95/1.53 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.95/1.53 X, c_Groups_Oplus__class_Oplus( X, Z, T ), c_Groups_Oplus__class_Oplus( X
% 0.95/1.53 , Y, T ) ) }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.95/1.53 , c_Groups_Oplus__class_Oplus( X, T, Y ) ), c_Orderings_Oord__class_Oless
% 0.95/1.53 ( X, Z, Y ) }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.95/1.53 X, c_Groups_Oplus__class_Oplus( X, T, Z ), c_Groups_Oplus__class_Oplus( X
% 0.95/1.53 , T, Y ) ) }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.95/1.53 , c_Groups_Oplus__class_Oplus( X, Y, Z ) ), c_Orderings_Oord__class_Oless
% 0.95/1.53 ( X, T, Y ) }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( X, T, Y ), c_Orderings_Oord__class_Oless(
% 0.95/1.53 X, c_Groups_Oplus__class_Oplus( X, T, Z ), c_Groups_Oplus__class_Oplus( X
% 0.95/1.53 , Y, Z ) ) }.
% 0.95/1.53 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( X, Z, Y ), Y ) = Z }.
% 0.95/1.53 { ! class_Groups_Ogroup__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.95/1.53 c_Groups_Ominus__class_Ominus( X, Z, Y ), Y ) = Z }.
% 0.95/1.53 { ! class_Rings_Ozero__neq__one( X ), ! c_Groups_Oone__class_Oone( X ) =
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.53 { ! class_Rings_Ozero__neq__one( X ), ! c_Groups_Ozero__class_Ozero( X ) =
% 0.95/1.53 c_Groups_Oone__class_Oone( X ) }.
% 0.95/1.53 { ! class_Groups_Ogroup__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( X, Z ), c_Groups_Oplus__class_Oplus( X,
% 0.95/1.53 Z, Y ) ) = Y }.
% 0.95/1.53 { ! class_Groups_Ogroup__add( X ), c_Groups_Oplus__class_Oplus( X, Z,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( X, c_Groups_Ouminus__class_Ouminus( X, Z ),
% 0.95/1.53 Y ) ) = Y }.
% 0.95/1.53 { ! class_Groups_Ogroup__add( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus( X
% 0.95/1.53 , c_Groups_Ouminus__class_Ouminus( X, Y ),
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( X, Z ) ) }.
% 0.95/1.53 { ! class_Groups_Oab__group__add( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus( X
% 0.95/1.53 , c_Groups_Ouminus__class_Ouminus( X, Z ),
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.95/1.53 { ! class_RealVector_Oreal__normed__field( X ),
% 0.95/1.53 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, T, Z
% 0.95/1.53 ), Y ) = c_Groups_Oplus__class_Oplus( X, c_Rings_Oinverse__class_Odivide
% 0.95/1.53 ( X, T, Y ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.95/1.53 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.95/1.53 ( X, c_Rings_Oinverse__class_Odivide( X, T, Y ),
% 0.95/1.53 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.95/1.53 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.95/1.53 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.95/1.53 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.95/1.53 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, U, T ) }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.95/1.53 , Y ), c_Groups_Ouminus__class_Ouminus( X, Z ) ) }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.95/1.53 , Z ), c_Groups_Ouminus__class_Ouminus( X, Y ) ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, Y, Z ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.95/1.53 , Z ), c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.95/1.53 , Z ), Y ), c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( X, Y ), Z ) }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.95/1.53 , Y ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( X, Z ), Y ) }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ouminus__class_Ouminus
% 0.95/1.53 ( X, Y ) ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( X, Z ) ) }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ouminus__class_Ouminus
% 0.95/1.53 ( X, Z ) ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.95/1.53 c_Groups_Oabs__class_Oabs( X, c_Groups_Oplus__class_Oplus( X,
% 0.95/1.53 c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) ) )
% 0.95/1.53 = c_Groups_Oplus__class_Oplus( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 0.95/1.53 c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.95/1.53 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X, Y
% 0.95/1.53 , c_Groups_Oone__class_Oone( X ) ) = Y }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 0.95/1.53 Y ), c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Oabs__class_Oabs( X, Y
% 0.95/1.53 ) ) }.
% 0.95/1.53 { ! class_Rings_Olinordered__idom( X ), c_Groups_Oabs__class_Oabs( X,
% 0.95/1.53 c_Groups_Oone__class_Oone( X ) ) = c_Groups_Oone__class_Oone( X ) }.
% 0.95/1.53 { ! c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) =
% 0.95/1.53 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oabs__class_Oabs(
% 0.95/1.53 tc_Int_Oint, X ), c_Groups_Oone__class_Oone( tc_Int_Oint ) ), X =
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.95/1.53 { ! X = c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oabs__class_Oabs(
% 0.95/1.53 tc_Int_Oint, X ), c_Groups_Oone__class_Oone( tc_Int_Oint ) ) }.
% 0.95/1.53 { c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.95/1.53 tc_Int_Oint ), c_Groups_Oone__class_Oone( tc_Int_Oint ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.95/1.53 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_Transcendental_Opi ) }
% 0.95/1.53 .
% 0.95/1.53 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.95/1.53 , Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OPls ) }.
% 0.95/1.53 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OPls ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.95/1.53 , Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.53 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, Y ) }.
% 0.95/1.53 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, Y ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.95/1.53 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( X, T ), c_Groups_Ominus__class_Ominus(
% 0.95/1.53 X, Z, c_Int_Onumber__class_Onumber__of( X, Y ) ) ) =
% 0.95/1.53 c_Groups_Oplus__class_Oplus( X, c_Int_Onumber__class_Onumber__of( X,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, T,
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y ) ) ), Z ) }.
% 0.95/1.53 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oone__class_Oone
% 0.95/1.53 ( tc_RealDef_Oreal ), c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) )
% 0.95/1.53 ) }.
% 0.95/1.53 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.95/1.53 c_Groups_Oone__class_Oone( X ), c_Groups_Oone__class_Oone( X ) ) =
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.95/1.53 ) ) ) }.
% 0.95/1.53 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.95/1.53 , c_Groups_Oplus__class_Oplus( X, Y, Y ), c_Groups_Ozero__class_Ozero( X
% 0.95/1.53 ) ), c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X
% 0.95/1.53 ) ) }.
% 0.95/1.53 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.95/1.53 , Y, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 0.95/1.53 , c_Groups_Oplus__class_Oplus( X, Y, Y ), c_Groups_Ozero__class_Ozero( X
% 0.95/1.53 ) ) }.
% 0.95/1.53 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.95/1.53 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( X, T, Z ), c_Orderings_Oord__class_Oless(
% 0.95/1.53 X, T, c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.95/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.95/1.53 c_Groups_Oplus__class_Oplus( X, Y, Y ) ), c_Orderings_Oord__class_Oless(
% 0.95/1.53 X, c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.95/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.95/1.53 c_Groups_Oplus__class_Oplus( X, Y, Y ) ) }.
% 0.95/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.95/1.53 , c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, Y
% 0.95/1.53 , c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.95/1.53 , c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.53 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.95/1.53 ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.95/1.53 , c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.95/1.53 c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.95/1.53 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.95/1.53 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.95/1.53 , c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y, Z
% 0.95/1.53 ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.53 { ! class_Groups_Ogroup__add( X ), c_Groups_Oplus__class_Oplus( X, Y,
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( X, Y ) ) = c_Groups_Ozero__class_Ozero(
% 0.95/1.53 X ) }.
% 0.95/1.53 { ! class_Groups_Ogroup__add( X ), ! Z = c_Groups_Ouminus__class_Ouminus( X
% 0.95/1.53 , Y ), c_Groups_Oplus__class_Oplus( X, Z, Y ) =
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.53 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Oplus__class_Oplus( X, Z, Y )
% 0.95/1.53 = c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ouminus__class_Ouminus
% 0.95/1.53 ( X, Y ) }.
% 0.95/1.53 { ! class_Groups_Ogroup__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( X, Y ), Y ) =
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.53 { ! class_Groups_Oab__group__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( X, Y ), Y ) =
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.53 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Oplus__class_Oplus( X, Z, Y )
% 0.95/1.53 = c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ouminus__class_Ouminus
% 0.95/1.53 ( X, Z ) }.
% 0.95/1.53 { ! class_Groups_Ogroup__add( X ), ! Y = c_Groups_Ouminus__class_Ouminus( X
% 0.95/1.53 , Z ), c_Groups_Oplus__class_Oplus( X, Z, Y ) =
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.53 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Oplus__class_Oplus( X, Z, Y )
% 0.95/1.53 = c_Groups_Ozero__class_Ozero( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.95/1.53 Z ) = Y }.
% 0.95/1.53 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.95/1.53 ( X, c_Groups_Oone__class_Oone( X ), c_Groups_Ozero__class_Ozero( X ) ) }
% 0.95/1.53 .
% 0.95/1.53 { ! class_Rings_Olinordered__semidom( X ), c_Orderings_Oord__class_Oless( X
% 0.95/1.53 , c_Groups_Ozero__class_Ozero( X ), c_Groups_Oone__class_Oone( X ) ) }.
% 0.95/1.53 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X, Z,
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( X, Y ) ) = c_Groups_Oplus__class_Oplus(
% 0.95/1.53 X, Z, Y ) }.
% 0.95/1.53 { ! class_Groups_Oab__group__add( X ), c_Groups_Ominus__class_Ominus( X, Z
% 0.95/1.53 , Y ) = c_Groups_Oplus__class_Oplus( X, Z,
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.95/1.53 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X, Z, Y )
% 0.95/1.53 = c_Groups_Oplus__class_Oplus( X, Z, c_Groups_Ouminus__class_Ouminus( X
% 0.95/1.53 , Y ) ) }.
% 0.95/1.53 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( X, c_Int_OPls ), Y ) = Y }.
% 0.95/1.53 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X, Y,
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( X, c_Int_OPls ) ) = Y }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ominus__class_Ominus( X, Z
% 0.95/1.53 , Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ominus__class_Ominus( X, Z
% 0.95/1.53 , Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.95/1.53 { ! class_Int_Onumber( X ), ! class_Orderings_Olinorder( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.95/1.53 , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.95/1.53 ), c_Int_Onumber__class_Onumber__of( X, Z ) ) }.
% 0.95/1.53 { ! class_Int_Onumber( X ), ! class_Orderings_Olinorder( X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.95/1.53 ), c_Int_Onumber__class_Onumber__of( X, Z ) ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.95/1.53 , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( X, Y ) ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.95/1.53 ) }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.95/1.53 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.95/1.53 ), c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.95/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ouminus__class_Ouminus
% 0.95/1.53 ( X, Y ) ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.95/1.53 ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.95/1.53 , Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.95/1.53 ) }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.95/1.53 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus
% 0.95/1.53 ( X, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.95/1.53 , Y ), Y ), c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.95/1.53 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.95/1.53 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus
% 0.95/1.53 ( X, Y ), Y ) }.
% 0.95/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.95/1.53 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ), alpha4( X, Y, Z ), alpha37
% 0.95/1.53 ( X, Y, Z ) }.
% 0.95/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha4( X, Y, Z
% 0.95/1.53 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.95/1.53 ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.95/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha37( X, Y, Z
% 0.95/1.53 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.95/1.53 ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.95/1.53 { ! alpha37( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.53 { ! alpha37( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.95/1.53 ) ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ) ), alpha37( X, Y, Z ) }.
% 0.95/1.53 { ! alpha4( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.95/1.53 { ! alpha4( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.95/1.53 , Z ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ), Y ), alpha4( X, Y, Z ) }.
% 0.95/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.95/1.53 , Z, Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha5( X, Y, Z ), alpha38
% 0.95/1.53 ( X, Y, Z ) }.
% 0.95/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha5( X, Y, Z
% 0.95/1.53 ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 0.95/1.53 ( X, Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha38( X, Y, Z
% 0.95/1.53 ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 0.95/1.53 ( X, Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.53 { ! alpha38( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.53 { ! alpha38( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.95/1.53 ) ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero
% 0.95/1.53 ( X ), Y ), alpha38( X, Y, Z ) }.
% 0.95/1.53 { ! alpha5( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.95/1.53 { ! alpha5( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.95/1.53 , Z ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ) ), alpha5( X, Y, Z ) }.
% 0.95/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.95/1.53 ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 0.95/1.53 ( X, Z, T ), c_Rings_Oinverse__class_Odivide( X, Y, T ) ) }.
% 0.95/1.53 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Ozero__class_Ozero( X )
% 0.95/1.53 ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 0.95/1.53 ( X, Y, T ), c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.95/1.53 { ! class_Rings_Odivision__ring__inverse__zero( X ), ! Y =
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 0.95/1.53 Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.53 { ! class_Rings_Odivision__ring__inverse__zero( X ), Y =
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 0.95/1.53 Y ) = c_Groups_Oone__class_Oone( X ) }.
% 0.95/1.53 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.95/1.53 , c_Rings_Oinverse__class_Odivide( X, Y, Y ) = c_Groups_Oone__class_Oone
% 0.95/1.53 ( X ) }.
% 0.95/1.53 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.95/1.53 , ! c_Rings_Oinverse__class_Odivide( X, Z, Y ) =
% 0.95/1.53 c_Groups_Oone__class_Oone( X ), Z = Y }.
% 0.95/1.53 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.95/1.53 , ! Z = Y, c_Rings_Oinverse__class_Odivide( X, Z, Y ) =
% 0.95/1.53 c_Groups_Oone__class_Oone( X ) }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.95/1.53 c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X, Y ),
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ) ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.95/1.53 }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ), ! Y =
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.53 c_Groups_Oabs__class_Oabs( X, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.95/1.53 ), c_Groups_Oabs__class_Oabs( X, Y ) = Y }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ominus__class_Ominus( X,
% 0.95/1.53 c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) ),
% 0.95/1.53 c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, Y, Z ) )
% 0.95/1.53 ) }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ominus__class_Ominus( X,
% 0.95/1.53 c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) ),
% 0.95/1.53 c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, Z, Y ) )
% 0.95/1.53 ) }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X,
% 0.95/1.53 c_Groups_Ominus__class_Ominus( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 0.95/1.53 c_Groups_Oabs__class_Oabs( X, Y ) ) ), c_Groups_Oabs__class_Oabs( X,
% 0.95/1.53 c_Groups_Ominus__class_Ominus( X, Z, Y ) ) ) }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 0.95/1.53 Y ), c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( X, Z ), Y ) }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.95/1.53 , Z ), Y ), c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.53 c_Groups_Oabs__class_Oabs( X, Z ), Y ) }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 0.95/1.53 Y ), c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 0.95/1.53 Y ), c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( X, Z ), Y ) }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.95/1.53 , Z ), Y ), c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.53 c_Groups_Oabs__class_Oabs( X, Z ), Y ) }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.95/1.53 , Y ), c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.95/1.53 { ! c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ) =
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X =
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) }.
% 0.95/1.53 { ! X = c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ),
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ) =
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.95/1.53 { ! c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y,
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) ) =
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y = X }.
% 0.95/1.53 { ! Y = X, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y,
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) ) =
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.95/1.53 { c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1( c_Int_OPls )
% 0.95/1.53 ) = c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.95/1.53 { c_Groups_Oone__class_Oone( tc_Nat_Onat ) =
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1( c_Int_OPls )
% 0.95/1.53 ) }.
% 0.95/1.53 { c_Groups_Oone__class_Oone( tc_Int_Oint ) =
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit1( c_Int_OPls )
% 0.95/1.53 ) }.
% 0.95/1.53 { c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, X ) =
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y,
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) ) }.
% 0.95/1.53 { c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, X ) =
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y,
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) ) }.
% 0.95/1.53 { c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus
% 0.95/1.53 ( tc_RealDef_Oreal, Y, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal
% 0.95/1.53 , X ) ) ) = c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, X,
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) ) ) }.
% 0.95/1.53 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.95/1.53 c_Int_OBit0( Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( X, c_Groups_Ozero__class_Ozero( X ),
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.95/1.53 { ! class_Fields_Olinordered__field( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.95/1.53 ), ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.95/1.53 ) ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.95/1.53 X ), c_Rings_Oinverse__class_Odivide( X, Y, Z ) ) }.
% 0.95/1.53 { ! class_Fields_Olinordered__field( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.95/1.53 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.95/1.53 , Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.53 c_Rings_Oinverse__class_Odivide( X, Y, Z ), c_Groups_Ozero__class_Ozero(
% 0.95/1.53 X ) ) }.
% 0.95/1.53 { ! class_Fields_Olinordered__field( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.95/1.53 ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 0.95/1.53 ! c_Orderings_Oord__class_Oless__eq( X, T, U ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.95/1.53 , Y, U ), c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.95/1.53 { ! class_Fields_Olinordered__field( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.95/1.53 ), ! c_Orderings_Oord__class_Oless( X, Y, Z ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 0.95/1.53 ! c_Orderings_Oord__class_Oless__eq( X, T, U ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, Y,
% 0.95/1.53 U ), c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.95/1.53 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.53 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, Y, Z ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 0.95/1.53 ! c_Orderings_Oord__class_Oless( X, T, U ), c_Orderings_Oord__class_Oless
% 0.95/1.53 ( X, c_Rings_Oinverse__class_Odivide( X, Y, U ),
% 0.95/1.53 c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.95/1.53 { ! class_Fields_Olinordered__field( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.95/1.53 ), ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.95/1.53 ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.53 c_Rings_Oinverse__class_Odivide( X, Y, Z ), c_Groups_Ozero__class_Ozero(
% 0.95/1.53 X ) ) }.
% 0.95/1.53 { ! class_Fields_Olinordered__field( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.95/1.53 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.95/1.53 , Z ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero
% 0.95/1.53 ( X ), c_Rings_Oinverse__class_Odivide( X, Y, Z ) ) }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.95/1.53 ), c_Groups_Oabs__class_Oabs( X, Y ) = c_Groups_Ouminus__class_Ouminus(
% 0.95/1.53 X, Y ) }.
% 0.95/1.53 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.95/1.53 , c_Groups_Oabs__class_Oabs( X, Y ) ), c_Groups_Ozero__class_Ozero( X ) )
% 0.95/1.53 }.
% 0.95/1.53 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.95/1.53 c_Int_OBit1( c_Int_OPls ) ) = c_Groups_Oone__class_Oone( X ) }.
% 0.95/1.53 { ! class_Int_Onumber__ring( X ), c_Groups_Oone__class_Oone( X ) =
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit1( c_Int_OPls ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ) ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ), X ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ), X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ) ) }.
% 0.95/1.53 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.95/1.53 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.95/1.53 { ! c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi
% 0.95/1.53 , c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.95/1.53 c_Int_OBit1( c_Int_OPls ) ) ) ) = c_Int_Onumber__class_Onumber__of(
% 0.95/1.53 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) }.
% 0.95/1.53 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.53 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.95/1.53 c_Int_OBit1( c_Int_OPls ) ) ) ), c_Int_Onumber__class_Onumber__of(
% 0.95/1.53 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.95/1.53 { ! c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi
% 0.95/1.53 , c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.95/1.53 c_Int_OBit1( c_Int_OPls ) ) ) ) = c_Groups_Ozero__class_Ozero(
% 0.95/1.53 tc_RealDef_Oreal ) }.
% 0.95/1.53 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.95/1.53 ), c_Groups_Oone__class_Oone( X ) ), c_Orderings_Oord__class_Oless(
% 0.95/1.53 tc_Int_Oint, Y, c_Int_OBit1( c_Int_OPls ) ) }.
% 0.95/1.53 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OBit1( c_Int_OPls )
% 0.95/1.53 ), c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X
% 0.95/1.53 , Y ), c_Groups_Oone__class_Oone( X ) ) }.
% 0.95/1.53 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ),
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( X, Y ) ), c_Orderings_Oord__class_Oless
% 0.95/1.53 ( tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), Y ) }.
% 0.95/1.53 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), Y
% 0.95/1.53 ), c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ),
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.95/1.53 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.95/1.53 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.95/1.53 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.95/1.53 { c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.95/1.53 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.95/1.53 c_Int_OBit1( c_Int_OPls ) ) ) ), X ) = c_Rings_Oinverse__class_Odivide(
% 0.95/1.53 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, X )
% 0.95/1.53 , c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.95/1.53 c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.95/1.53 { c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.95/1.53 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.95/1.53 c_Int_OBit1( c_Int_OPls ) ) ) ), Y ) = c_Rings_Oinverse__class_Odivide(
% 0.95/1.53 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X, Y )
% 0.95/1.53 , c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.95/1.53 c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.95/1.53 { c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.95/1.53 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X,
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.95/1.53 c_Int_OBit1( c_Int_OPls ) ) ) ), c_Rings_Oinverse__class_Odivide(
% 0.95/1.53 tc_RealDef_Oreal, X, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 0.95/1.53 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) = X }.
% 0.95/1.53 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.95/1.53 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.95/1.53 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), v_g____( X ) ) ),
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 0.95/1.53 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.95/1.53 tc_Nat_Onat, c_Nat_OSuc( X ) ) ) ) ) }.
% 0.95/1.53 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.95/1.53 , c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, T, Z )
% 0.95/1.53 ), Y ), c_Orderings_Oord__class_Oless( X, c_Groups_Ominus__class_Ominus
% 0.95/1.53 ( X, Z, Y ), T ) }.
% 0.95/1.53 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.95/1.53 , c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, T, Z )
% 0.95/1.53 ), Y ), c_Orderings_Oord__class_Oless( X, T, c_Groups_Oplus__class_Oplus
% 0.95/1.53 ( X, Z, Y ) ) }.
% 0.95/1.53 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.95/1.53 , c_Groups_Ominus__class_Ominus( X, Z, Y ), T ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.95/1.53 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Oabs__class_Oabs( X,
% 0.95/1.53 c_Groups_Ominus__class_Ominus( X, T, Z ) ), Y ) }.
% 0.95/1.53 { ! class_Rings_Ocomm__ring__1( X ), c_Groups_Ominus__class_Ominus( X, Z, Y
% 0.95/1.53 ) = c_Groups_Oplus__class_Oplus( X, Z, c_Groups_Ouminus__class_Ouminus(
% 0.95/1.53 X, Y ) ) }.
% 0.95/1.53 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), v_r ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), c_Nat_OSuc(
% 0.95/1.53 X ) ) }.
% 0.95/1.53 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc( X ) ) }.
% 0.95/1.53 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.95/1.53 tc_Nat_Onat, X ) ) }.
% 0.95/1.53 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.95/1.53 tc_Nat_Onat ), c_Nat_OSuc( X ) ) }.
% 0.95/1.53 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, v_g____( X ) ), v_r
% 0.95/1.53 ) }.
% 0.95/1.53 { ! c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) = c_Nat_OSuc( X ) }.
% 0.95/1.53 { ! c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) = c_Nat_OSuc( X ) }.
% 0.95/1.53 { ! c_Nat_OSuc( X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.53 { ! c_Nat_OSuc( X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.95/1.53 ( tc_Nat_Onat, Y, X ), Y ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.95/1.53 ( tc_Nat_Onat, Y, X ), X ) }.
% 0.95/1.53 { c_Groups_Oone__class_Oone( tc_Nat_Onat ) = c_Nat_OSuc(
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.95/1.53 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc(
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) ) }.
% 0.95/1.53 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc(
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) ) }.
% 0.95/1.53 { c_RealDef_Oreal( tc_Nat_Onat, c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 0.95/1.53 tc_Nat_Onat ) ) ) = c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.95/1.53 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc( Y ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc( Y ) ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.95/1.53 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.95/1.53 tc_Nat_Onat ), X ) = X }.
% 0.95/1.53 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, c_Groups_Ozero__class_Ozero
% 0.95/1.53 ( tc_Nat_Onat ) ) = X }.
% 0.95/1.53 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.95/1.53 ( tc_Nat_Onat, Y, X ), c_Nat_OSuc( Y ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), X = c_Nat_OSuc(
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, skol6( X, Y ) ) ) }.
% 0.95/1.53 { ! X = c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ) ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z,
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) =
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.95/1.53 tc_Nat_Onat, Z, Y ), X ) }.
% 0.95/1.53 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) = X }.
% 0.95/1.53 { Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) = c_Nat_OSuc(
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus(
% 0.95/1.53 tc_Nat_Onat, Y, c_Groups_Oone__class_Oone( tc_Nat_Onat ) ), X ) ) }.
% 0.95/1.53 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) =
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.95/1.53 ( tc_Nat_Onat, Y, c_Groups_Oone__class_Oone( tc_Nat_Onat ) ), X ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), Y = X }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.95/1.53 { ! Y = X, c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) )
% 0.95/1.53 }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.95/1.53 tc_Int_Oint ) ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X )
% 0.95/1.53 }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.95/1.53 tc_Int_Oint ) ) ) }.
% 0.95/1.53 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) =
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z,
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.95/1.53 tc_Nat_Onat, Z, X ), Y ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.95/1.53 ( tc_Nat_Onat, Z, X ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z
% 0.95/1.53 , c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) }.
% 0.95/1.53 { ! c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) =
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ), alpha6( X, Y ), alpha39
% 0.95/1.53 ( X, Y ) }.
% 0.95/1.53 { ! alpha6( X, Y ), c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat )
% 0.95/1.53 ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) }.
% 0.95/1.53 { ! alpha39( X, Y ), c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat )
% 0.95/1.53 ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) }.
% 0.95/1.53 { ! alpha39( X, Y ), Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.53 { ! alpha39( X, Y ), X = c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 0.95/1.53 tc_Nat_Onat ) ) }.
% 0.95/1.53 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), ! X = c_Nat_OSuc(
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), alpha39( X, Y ) }.
% 0.95/1.53 { ! alpha6( X, Y ), Y = c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 0.95/1.53 tc_Nat_Onat ) ) }.
% 0.95/1.53 { ! alpha6( X, Y ), X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.53 { ! Y = c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), ! X =
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), alpha6( X, Y ) }.
% 0.95/1.53 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Nat_OSuc( X ),
% 0.95/1.53 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) = X }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), c_Nat_OSuc
% 0.95/1.53 ( X ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), c_Nat_OSuc(
% 0.95/1.53 X ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, c_Groups_Oone__class_Oone(
% 0.95/1.53 tc_Int_Oint ) ), X ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X )
% 0.95/1.53 }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, c_Groups_Oone__class_Oone(
% 0.95/1.53 tc_Int_Oint ) ), X ) }.
% 0.95/1.53 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y =
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.53 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X =
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.53 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), ! X =
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus(
% 0.95/1.53 tc_Nat_Onat, Y, X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ), X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ), X ) }.
% 0.95/1.53 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) = c_Nat_OSuc(
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), alpha7( X, Y ), alpha40( X
% 0.95/1.53 , Y ) }.
% 0.95/1.53 { ! alpha7( X, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.95/1.53 c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.95/1.53 { ! alpha40( X, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.95/1.53 c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.95/1.53 { ! alpha40( X, Y ), Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.53 { ! alpha40( X, Y ), X = c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 0.95/1.53 tc_Nat_Onat ) ) }.
% 0.95/1.53 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), ! X = c_Nat_OSuc(
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), alpha40( X, Y ) }.
% 0.95/1.53 { ! alpha7( X, Y ), Y = c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 0.95/1.53 tc_Nat_Onat ) ) }.
% 0.95/1.53 { ! alpha7( X, Y ), X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.53 { ! Y = c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), ! X =
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), alpha7( X, Y ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.95/1.53 ( tc_Nat_Onat, Z, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) )
% 0.95/1.53 , c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.95/1.53 tc_Nat_Onat, Z, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }
% 0.95/1.53 .
% 0.95/1.53 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ), Y = X }
% 0.95/1.53 .
% 0.95/1.53 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! Y = X,
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.95/1.53 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) = Y }.
% 0.95/1.53 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ), X = Y }
% 0.95/1.53 .
% 0.95/1.53 { ! c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) = c_Nat_OSuc( X ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.95/1.53 tc_Nat_Onat, X, Z ), Y ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, c_Groups_Oone__class_Oone(
% 0.95/1.53 tc_Int_Oint ) ), X ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.95/1.53 tc_Nat_Onat, Y, Z ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }
% 0.95/1.53 .
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, c_Nat_OSuc(
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) ) =
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.95/1.53 tc_Nat_Onat, Z, Y ), c_Nat_OSuc( X ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y,
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) = X }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z,
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) =
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.95/1.53 tc_Nat_Onat, Z, X ), Y ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Nat_OSuc( X ), Y ) =
% 0.95/1.53 c_Nat_OSuc( c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Nat_OSuc(
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ), Z ) =
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Nat_OSuc( X ),
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus(
% 0.95/1.53 tc_Nat_Onat, X, Y ), Y ) = X }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) = Z, X =
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), ! X =
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ),
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) = Z }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.95/1.53 tc_Nat_Onat, Z, X ), Y ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z,
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus(
% 0.95/1.53 tc_Nat_Onat, X, Y ), Z ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ), Y ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.95/1.53 tc_Nat_Onat, X, Z ), Y ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), Z ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), c_Nat_OSuc( Y ) = X
% 0.95/1.53 , c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Z ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), Z ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, T, Z ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.95/1.53 tc_Nat_Onat, Y, T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }
% 0.95/1.53 .
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, T, Z ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.95/1.53 tc_Int_Oint, Y, T ), c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, Z ) ) }
% 0.95/1.53 .
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, T, X ) =
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, T, Z ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), Y = X }.
% 0.95/1.53 { ! c_Nat_OSuc( X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), c_Nat_OSuc
% 0.95/1.53 ( X ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.95/1.53 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) = Y, X =
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.95/1.53 ( tc_Nat_Onat, Y, Z ), X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y
% 0.95/1.53 , X ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.95/1.53 tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.95/1.53 tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ) }.
% 0.95/1.53 { c_RealDef_Oreal( tc_Nat_Onat, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y
% 0.95/1.53 , X ) ) = c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_RealDef_Oreal
% 0.95/1.53 ( tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ) }.
% 0.95/1.53 { c_RealDef_Oreal( tc_Nat_Onat, c_Nat_OSuc( X ) ) =
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.95/1.53 tc_Nat_Onat, X ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.95/1.53 { c_Nat_OSuc( X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.95/1.53 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) }.
% 0.95/1.53 { c_Nat_OSuc( X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.95/1.53 c_Groups_Oone__class_Oone( tc_Nat_Onat ), X ) }.
% 0.95/1.53 { c_RealDef_Oreal( tc_Nat_Onat, c_Groups_Oone__class_Oone( tc_Nat_Onat ) )
% 0.95/1.53 = c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( X ), X ) }
% 0.95/1.53 .
% 0.95/1.53 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) }.
% 0.95/1.53 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.95/1.53 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( X ), Y ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( X ), Y ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), X =
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, skol7( X, Y ) ) }.
% 0.95/1.53 { ! X = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.95/1.53 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) =
% 0.95/1.53 c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), Y = c_Nat_OSuc( X
% 0.95/1.53 ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.95/1.53 { ! Y = c_Nat_OSuc( X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y
% 0.95/1.53 , c_Nat_OSuc( X ) ) }.
% 0.95/1.53 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) =
% 0.95/1.53 c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.95/1.53 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) =
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ),
% 0.95/1.53 c_Nat_OSuc( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X )
% 0.95/1.53 }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ),
% 0.95/1.53 c_Nat_OSuc( X ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ),
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ),
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, Z ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, T ),
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), Y = c_Nat_OSuc( X
% 0.95/1.53 ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ), X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, X ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, Y ), Y = X }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, Z ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, Z ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, Y ),
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, X ) ) }.
% 0.95/1.53 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.95/1.53 tc_Int_Oint, Z, Y ), X ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }.
% 0.95/1.53 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, c_Groups_Oplus__class_Oplus
% 0.95/1.53 ( tc_Int_Oint, Y, X ) ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, X ) ) }.
% 0.95/1.53 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, Y ) }.
% 0.95/1.53 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) =
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, Y ) }.
% 0.95/1.53 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, X ) }.
% 0.95/1.53 { ! c_Nat_OSuc( Y ) = c_Nat_OSuc( X ), Y = X }.
% 0.95/1.53 { ! c_Nat_OSuc( Y ) = c_Nat_OSuc( X ), Y = X }.
% 0.95/1.53 { ! Y = X, c_Nat_OSuc( Y ) = c_Nat_OSuc( X ) }.
% 0.95/1.53 { ! c_Nat_OSuc( X ) = X }.
% 0.95/1.53 { ! X = c_Nat_OSuc( X ) }.
% 0.95/1.53 { ! c_RealDef_Oreal( tc_Nat_Onat, Y ) = c_RealDef_Oreal( tc_Nat_Onat, X ),
% 0.95/1.53 Y = X }.
% 0.95/1.53 { ! Y = X, c_RealDef_Oreal( tc_Nat_Onat, Y ) = c_RealDef_Oreal( tc_Nat_Onat
% 0.95/1.53 , X ) }.
% 0.95/1.53 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.95/1.53 ( tc_Nat_Onat, c_Nat_OSuc( Z ), Y ), c_Nat_OSuc( X ) ) =
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.95/1.53 ( tc_Nat_Onat, Z, Y ), X ) }.
% 0.95/1.53 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Nat_OSuc( Y ), c_Nat_OSuc(
% 0.95/1.53 X ) ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) }.
% 0.95/1.53 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.95/1.53 tc_Nat_Onat, c_Nat_OSuc( X ) ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.95/1.53 tc_Nat_Onat, X ), c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), X =
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.53 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.95/1.53 tc_Nat_Onat, X ), c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.95/1.53 tc_Nat_Onat, Y ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.95/1.53 c_RealDef_Oreal( tc_Nat_Onat, X ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.95/1.53 tc_Nat_Onat, Y ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.95/1.53 c_RealDef_Oreal( tc_Nat_Onat, X ) ), c_Orderings_Oord__class_Oless(
% 0.95/1.53 tc_Nat_Onat, Y, X ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.95/1.53 tc_Int_Oint ), c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.95/1.53 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ) ) }.
% 0.95/1.53 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, Y ),
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Complex_Ocomplex, Y, X ) ),
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ) ) ) }.
% 0.95/1.53 { c_Int_OBit1( X ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Oone__class_Oone(
% 0.95/1.53 tc_Int_Oint ), X ), X ) }.
% 0.95/1.53 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Ozero__class_Ozero
% 0.95/1.53 ( tc_Int_Oint ) ) = X }.
% 0.95/1.53 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.95/1.53 tc_Int_Oint ), X ) = X }.
% 0.95/1.53 { ! c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.95/1.53 tc_Int_Oint, c_Groups_Oone__class_Oone( tc_Int_Oint ), X ), X ) =
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.95/1.53 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OPls, X ) = X }.
% 0.95/1.53 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Int_OPls ) = X }.
% 0.95/1.53 { c_Int_OBit0( X ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, X ) }.
% 0.95/1.53 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit0(
% 0.95/1.53 X ) ) = c_Int_OBit0( c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }
% 0.95/1.53 .
% 0.95/1.53 { c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, c_RealDef_Oreal( tc_Nat_Onat
% 0.95/1.53 , X ) ) = c_RealDef_Oreal( tc_Nat_Onat, X ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.95/1.53 tc_Int_Oint, Y, Z ), c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, Z ) ) }
% 0.95/1.53 .
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.95/1.53 tc_Int_Oint ) ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), Y
% 0.95/1.53 = X }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.95/1.53 tc_Int_Oint ) ) ) }.
% 0.95/1.53 { ! Y = X, c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.95/1.53 tc_Int_Oint ) ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.95/1.53 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.95/1.53 ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.95/1.53 c_Int_OBit1( X ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.95/1.53 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.95/1.53 ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.95/1.53 c_Int_OBit1( X ) ) }.
% 0.95/1.53 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, c_Int_OPls )
% 0.95/1.53 }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), X =
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, skol8( X, Y ) ) }.
% 0.95/1.53 { ! X = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.95/1.53 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.95/1.53 ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.95/1.53 c_Int_OBit0( X ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.95/1.53 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.95/1.53 ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.95/1.53 c_Int_OBit0( X ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ), ! Y = X }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ), Y = X,
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ), Y = X }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.95/1.53 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.95/1.53 { c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) =
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_Int_Oint,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), ! Y = X }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), Y = X,
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 0.95/1.53 { ! class_Groups_Ocomm__monoid__add( X ), c_Groups_Oplus__class_Oplus(
% 0.95/1.53 tc_Polynomial_Opoly( X ), c_Groups_Ozero__class_Ozero(
% 0.95/1.53 tc_Polynomial_Opoly( X ) ), Y ) = Y }.
% 0.95/1.53 { ! class_Groups_Ocomm__monoid__add( X ), c_Groups_Oplus__class_Oplus(
% 0.95/1.53 tc_Polynomial_Opoly( X ), Y, c_Groups_Ozero__class_Ozero(
% 0.95/1.53 tc_Polynomial_Opoly( X ) ) ) = Y }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) }.
% 0.95/1.53 { c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Groups_Oplus__class_Oplus
% 0.95/1.53 ( tc_Int_Oint, Y, X ) ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y ),
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Z, Y ),
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Z, X ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.95/1.53 ( tc_Nat_Onat ), X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, c_Nat_OSuc( Y ) ), X ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.95/1.53 ( tc_Nat_Onat ), X ), c_Nat_OSuc( c_Groups_Ominus__class_Ominus(
% 0.95/1.53 tc_Nat_Onat, X, c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) )
% 0.95/1.53 ) ) = X }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.95/1.53 ( tc_Nat_Onat ), X ), c_Nat_OSuc( c_Groups_Ominus__class_Ominus(
% 0.95/1.53 tc_Nat_Onat, X, c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) ) = X }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ), Y =
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), alpha8( X, Y ) }.
% 0.95/1.53 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.95/1.53 { ! alpha8( X, Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 0.95/1.53 c_Nat_OSuc( X ) ) }.
% 0.95/1.53 { ! alpha8( X, Y ), Y = c_Nat_OSuc( skol9( Z, Y ) ) }.
% 0.95/1.53 { ! alpha8( X, Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, skol9( X, Y
% 0.95/1.53 ), X ) }.
% 0.95/1.53 { ! Y = c_Nat_OSuc( Z ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, X
% 0.95/1.53 ), alpha8( X, Y ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc(
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), X =
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.53 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc(
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.95/1.53 ( tc_Nat_Onat ), X ), X = c_Nat_OSuc( skol10( X ) ) }.
% 0.95/1.53 { ! X = c_Nat_OSuc( Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.95/1.53 ( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.95/1.53 tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.95/1.53 ( tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus(
% 0.95/1.53 tc_Nat_Onat, Y, X ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.95/1.53 ( tc_Nat_Onat ), X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus(
% 0.95/1.53 tc_Nat_Onat, Y, X ) ) }.
% 0.95/1.53 { ! hBOOL( hAPP( Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) )
% 0.95/1.53 , alpha9( X, Y, Z ) }.
% 0.95/1.53 { ! hBOOL( hAPP( Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) )
% 0.95/1.53 , alpha41( X, Y, Z ) }.
% 0.95/1.53 { ! alpha9( X, Y, Z ), ! alpha41( X, Y, Z ), hBOOL( hAPP( Z,
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) ) }.
% 0.95/1.53 { ! alpha41( X, Y, Z ), ! Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.95/1.53 T ), hBOOL( hAPP( Z, T ) ) }.
% 0.95/1.53 { ! hBOOL( hAPP( Z, skol11( T, U, Z ) ) ), alpha41( X, Y, Z ) }.
% 0.95/1.53 { Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, skol11( X, Y, Z ) ),
% 0.95/1.53 alpha41( X, Y, Z ) }.
% 0.95/1.53 { ! alpha9( X, Y, Z ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X )
% 0.95/1.53 , hBOOL( hAPP( Z, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) }.
% 0.95/1.53 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), alpha9( X, Y, Z ) }.
% 0.95/1.53 { ! hBOOL( hAPP( Z, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), alpha9
% 0.95/1.53 ( X, Y, Z ) }.
% 0.95/1.53 { ! hBOOL( hAPP( Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) )
% 0.95/1.53 , ! alpha10( X, Y, Z ) }.
% 0.95/1.53 { ! hBOOL( hAPP( Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) )
% 0.95/1.53 , ! alpha42( X, Y, Z ) }.
% 0.95/1.53 { alpha10( X, Y, Z ), alpha42( X, Y, Z ), hBOOL( hAPP( Z,
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) ) }.
% 0.95/1.53 { ! alpha42( X, Y, Z ), ! hBOOL( hAPP( Z, skol12( T, U, Z ) ) ) }.
% 0.95/1.53 { ! alpha42( X, Y, Z ), Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.95/1.53 skol12( X, Y, Z ) ) }.
% 0.95/1.53 { ! Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, T ), hBOOL( hAPP( Z, T
% 0.95/1.53 ) ), alpha42( X, Y, Z ) }.
% 0.95/1.53 { ! alpha10( X, Y, Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X )
% 0.95/1.53 }.
% 0.95/1.53 { ! alpha10( X, Y, Z ), ! hBOOL( hAPP( Z, c_Groups_Ozero__class_Ozero(
% 0.95/1.53 tc_Nat_Onat ) ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), hBOOL( hAPP( Z,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), alpha10( X, Y, Z ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc( Y ) ), X = Y }
% 0.95/1.53 .
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), ! X = Y,
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc( Y ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.95/1.53 { c_Nat_OSuc( c_Nat_OSuc( c_Nat_OSuc( X ) ) ) = c_Groups_Oplus__class_Oplus
% 0.95/1.53 ( tc_Nat_Onat, c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1
% 0.95/1.53 ( c_Int_OBit1( c_Int_OPls ) ) ), X ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ),
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) =
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) }.
% 0.95/1.53 { c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ),
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) =
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ) }.
% 0.95/1.53 { c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ),
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) =
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }.
% 0.95/1.53 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.95/1.53 c_Int_OPls ) ) ) ) = c_Nat_OSuc( c_Nat_OSuc( X ) ) }.
% 0.95/1.53 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.95/1.53 c_Int_OPls ) ) ), X ) = c_Nat_OSuc( c_Nat_OSuc( X ) ) }.
% 0.95/1.53 { c_RealDef_Oreal( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat )
% 0.95/1.53 ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.95/1.53 { ! c_RealDef_Oreal( tc_Nat_Onat, X ) = c_Groups_Ozero__class_Ozero(
% 0.95/1.53 tc_RealDef_Oreal ), X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.53 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_RealDef_Oreal(
% 0.95/1.53 tc_Nat_Onat, X ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.95/1.53 tc_Nat_Onat, X ), c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.95/1.53 tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.95/1.53 tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), c_RealDef_Oreal
% 0.95/1.53 ( tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) =
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.95/1.53 tc_Nat_Onat, X ), c_RealDef_Oreal( tc_Nat_Onat, Y ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.95/1.53 ( tc_Nat_Onat ), X ), X = c_Nat_OSuc( c_Groups_Ominus__class_Ominus(
% 0.95/1.53 tc_Nat_Onat, X, c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) ) }.
% 0.95/1.53 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit1(
% 0.95/1.53 X ) ) = c_Int_OBit1( c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }
% 0.95/1.53 .
% 0.95/1.53 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit0(
% 0.95/1.53 X ) ) = c_Int_OBit1( c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }
% 0.95/1.53 .
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus
% 0.95/1.53 ( tc_Int_Oint, c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.95/1.53 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ), X ),
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.95/1.53 tc_Int_Oint, c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.95/1.53 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ), X ),
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, c_Int_OBit1
% 0.95/1.53 ( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X )
% 0.95/1.53 }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, c_Int_OBit1(
% 0.95/1.53 X ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.95/1.53 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.95/1.53 ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.95/1.53 c_Int_OBit1( X ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.95/1.53 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.95/1.53 ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.95/1.53 c_Int_OBit1( X ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, c_Int_OBit0
% 0.95/1.53 ( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X )
% 0.95/1.53 }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, c_Int_OBit0(
% 0.95/1.53 X ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( X ),
% 0.95/1.53 c_Int_OPls ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X,
% 0.95/1.53 c_Int_OPls ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( X ),
% 0.95/1.53 c_Int_OPls ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.53 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.95/1.53 tc_Int_Oint ), X ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.95/1.53 ( tc_Int_Oint ), X ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.53 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ) }.
% 0.95/1.53 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Ouminus__class_Ouminus
% 0.95/1.53 ( tc_Int_Oint, X ), X ) = c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.95/1.53 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( X, Y ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.95/1.53 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) ), alpha11( X,
% 0.95/1.53 Y ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.95/1.53 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) ), alpha43( X,
% 0.95/1.53 Y ) }.
% 0.95/1.53 { ! alpha11( X, Y ), ! alpha43( X, Y ), c_Orderings_Oord__class_Oless__eq(
% 0.95/1.53 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.95/1.53 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) ) }.
% 0.95/1.53 { ! alpha43( X, Y ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), alpha43( X, Y ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), alpha43( X, Y ) }.
% 0.95/1.53 { ! alpha11( X, Y ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y
% 0.95/1.53 , c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), alpha11( X, Y ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), alpha11( X, Y ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, X ),
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, X ),
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.95/1.53 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_Transcendental_Opi ) }
% 0.95/1.53 .
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y,
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_Int_Oint, X, c_Groups_Oone__class_Oone
% 0.95/1.53 ( tc_Int_Oint ) ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.95/1.53 .
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y,
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_Int_Oint, X, c_Groups_Oone__class_Oone
% 0.95/1.53 ( tc_Int_Oint ) ) ) }.
% 0.95/1.53 { c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X ) =
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y,
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) }.
% 0.95/1.53 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y,
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) =
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Y ), X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ), Y ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Y ), X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ), Y ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Y ), X ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.95/1.53 tc_Nat_Onat, Y ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.95/1.53 c_RealDef_Oreal( tc_Nat_Onat, X ), c_Groups_Oone__class_Oone(
% 0.95/1.53 tc_RealDef_Oreal ) ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.95/1.53 tc_Nat_Onat, Y ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.95/1.53 c_RealDef_Oreal( tc_Nat_Onat, X ), c_Groups_Oone__class_Oone(
% 0.95/1.53 tc_RealDef_Oreal ) ) ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y
% 0.95/1.53 , X ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.95/1.53 ( tc_Nat_Onat ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ),
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) = c_Nat_OSuc(
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ),
% 0.95/1.53 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) ) }.
% 0.95/1.53 { ! class_Int_Onumber__ring( X ), c_Groups_Ominus__class_Ominus( X,
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( X, Z ),
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.95/1.53 tc_Int_Oint, Z, c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y ) ) ) }.
% 0.95/1.53 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( X, Y ), c_Groups_Ozero__class_Ozero(
% 0.95/1.53 tc_RealDef_Oreal ) ), Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.53 { ! class_RealVector_Oreal__normed__vector( X ), ! Y =
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless__eq(
% 0.95/1.53 tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm( X, Y ),
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.95/1.53 { ! c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) =
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ),
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) =
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) }.
% 0.95/1.53 { ! c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) =
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ),
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) =
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, c_Int_OBit1( X
% 0.95/1.53 ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, c_Int_OBit1( X )
% 0.95/1.53 ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( X ),
% 0.95/1.53 c_Int_OPls ), c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls )
% 0.95/1.53 }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( X ),
% 0.95/1.53 c_Int_OPls ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.95/1.53 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.95/1.53 ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit1
% 0.95/1.53 ( X ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.95/1.53 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.95/1.53 ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit1
% 0.95/1.53 ( X ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.95/1.53 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.95/1.53 .
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.95/1.53 c_Int_OBit0( X ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.95/1.53 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.95/1.53 .
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.95/1.53 c_Int_OBit0( X ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OPls ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OPls ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) }.
% 0.95/1.53 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( X, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.95/1.53 ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.95/1.53 ( X, Y ) ) ) }.
% 0.95/1.53 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus( X, Z,
% 0.95/1.53 Y ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.95/1.53 ( X, Y ) ) ) }.
% 0.95/1.53 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.95/1.53 ( X, Y ) ), c_RealVector_Onorm__class_Onorm( X,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( X, Z, Y ) ) ) }.
% 0.95/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( X, U, T ), c_Groups_Oplus__class_Oplus( X, Z
% 0.95/1.53 , Y ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Oplus__class_Oplus( X
% 0.95/1.53 , U, Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.95/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.95/1.53 ( X, c_Groups_Oplus__class_Oplus( X, T, Y ), Z ) }.
% 0.95/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.95/1.53 ( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y ) ) }.
% 0.95/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, T
% 0.95/1.53 , c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus
% 0.95/1.53 ( X, c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) }.
% 0.95/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, T
% 0.95/1.53 , c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus
% 0.95/1.53 ( X, Z, c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.95/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, Z
% 0.95/1.53 , Y ) = c_Groups_Oplus__class_Oplus( X, Y, Z ) }.
% 0.95/1.53 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.95/1.53 ( X, Y ) ), c_RealVector_Onorm__class_Onorm( X,
% 0.95/1.53 c_Groups_Ominus__class_Ominus( X, Z, Y ) ) ) }.
% 0.95/1.53 { c_Groups_Ominus__class_Ominus( tc_Int_Oint,
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) =
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_Int_Oint,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y,
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ) ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ), X ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ), X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ) ) }.
% 0.95/1.53 { ! c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) =
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), !
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) =
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y = X }.
% 0.95/1.53 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, X ) =
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.53 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) = X }.
% 0.95/1.53 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.95/1.53 tc_Nat_Onat ), X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.53 { alpha102( X, Y, Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, Z ),
% 0.95/1.53 hBOOL( hAPP( hAPP( X, Y ), Z ) ) }.
% 0.95/1.53 { alpha102( X, Y, Z ), ! hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP(
% 0.95/1.53 hAPP( X, Y ), Z ) ) }.
% 0.95/1.53 { ! alpha102( X, Y, Z ), alpha104( X, Y, Z ), Z = Y }.
% 0.95/1.53 { ! alpha102( X, Y, Z ), alpha104( X, Y, Z ), ! hBOOL( hAPP( hAPP( X, Y ),
% 0.95/1.53 Z ) ) }.
% 0.95/1.53 { ! alpha104( X, Y, Z ), alpha102( X, Y, Z ) }.
% 0.95/1.53 { ! Z = Y, hBOOL( hAPP( hAPP( X, Y ), Z ) ), alpha102( X, Y, Z ) }.
% 0.95/1.53 { ! alpha104( X, Y, Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y )
% 0.95/1.53 }.
% 0.95/1.53 { ! alpha104( X, Y, Z ), ! hBOOL( hAPP( hAPP( X, Y ), Z ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y ), hBOOL( hAPP( hAPP(
% 0.95/1.53 X, Y ), Z ) ), alpha104( X, Y, Z ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, Z ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.95/1.53 ( tc_Nat_Onat, Z, X ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.95/1.53 ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.95/1.53 ( tc_Nat_Onat, Y, Z ), X ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! Y = X }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! X = Y }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, X ) }.
% 0.95/1.53 { Y = X, c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ) }.
% 0.95/1.53 { Y = X, c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! Y = X }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ), ! Y = X }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, X ) }.
% 0.95/1.53 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus
% 0.95/1.53 ( tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, T, Z )
% 0.95/1.53 , c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ),
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) ) ) ),
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs
% 0.95/1.53 ( tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, T,
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) ) ),
% 0.95/1.53 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus
% 0.95/1.53 ( tc_RealDef_Oreal, Z, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal
% 0.95/1.53 , X ) ) ) ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Y ), Y = X }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Z ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ) }.
% 0.95/1.53 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.95/1.53 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Y ) }.
% 0.95/1.53 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, X ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ),
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Z ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Z ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ),
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ),
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.95/1.53 ( tc_Nat_Onat, X, Y ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.95/1.53 ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Z ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) =
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ), X = Z }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), ! X = Z,
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) =
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X,
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) = Y }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, Z ),
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Z ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, X ),
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) ) }.
% 0.95/1.53 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ), Y ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.95/1.53 tc_Nat_Onat, X ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.95/1.53 ( tc_Nat_Onat ), X ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.95/1.53 tc_Nat_Onat, X ) ) }.
% 0.95/1.53 { c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1( c_Int_OPls )
% 0.95/1.53 ) = c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.95/1.53 { c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1( c_Int_OBit1(
% 0.95/1.53 c_Int_OPls ) ) ) = c_Nat_OSuc( c_Nat_OSuc( c_Nat_OSuc(
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OPls ), X ),
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) =
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y,
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X,
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1( c_Int_OPls )
% 0.95/1.53 ) ) ) }.
% 0.95/1.53 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Oone__class_Oone(
% 0.95/1.53 tc_Nat_Onat ), c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) =
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.95/1.53 c_Int_OPls ) ) ) }.
% 0.95/1.53 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus( X,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( X, U, T ), c_Groups_Oplus__class_Oplus( X, Z
% 0.95/1.53 , Y ) ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus( X, U,
% 0.95/1.53 Z ) ), c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus
% 0.95/1.53 ( X, T, Y ) ) ) ) }.
% 0.95/1.53 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.95/1.53 ( X, Y ) ) ), c_RealVector_Onorm__class_Onorm( X,
% 0.95/1.53 c_Groups_Ominus__class_Ominus( X, Z, Y ) ) ) }.
% 0.95/1.53 { c_Nat_OSuc( c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) =
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.95/1.53 c_Int_OPls ) ) ) }.
% 0.95/1.53 { c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.95/1.53 c_Int_OPls ) ) ) = c_Nat_OSuc( c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 0.95/1.53 tc_Nat_Onat ) ) ) }.
% 0.95/1.53 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.95/1.53 c_Int_OBit1( c_Int_OPls ) ) ), c_Transcendental_Opi ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.95/1.53 c_Int_OPls ) ) ) ), X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X =
% 0.95/1.53 c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.95/1.53 { ! class_Int_Onumber__ring( X ), c_Groups_Ominus__class_Ominus( X,
% 0.95/1.53 c_Groups_Oone__class_Oone( X ), c_Int_Onumber__class_Onumber__of( X, Y )
% 0.95/1.53 ) = c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.95/1.53 tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), c_Groups_Ouminus__class_Ouminus(
% 0.95/1.53 tc_Int_Oint, Y ) ) ) }.
% 0.95/1.53 { ! class_Int_Onumber__ring( X ), c_Groups_Ominus__class_Ominus( X,
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Oone__class_Oone( X )
% 0.95/1.53 ) = c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.95/1.53 tc_Int_Oint, Y, c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Int_OBit1
% 0.95/1.53 ( c_Int_OPls ) ) ) ) }.
% 0.95/1.53 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.95/1.53 c_Int_OBit1( c_Int_OPls ) ) ) ), c_Int_Onumber__class_Onumber__of(
% 0.95/1.53 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.95/1.53 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.95/1.53 ( X ), ! Z = c_Groups_Oplus__class_Oplus( X, Z, Y ), Y =
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.53 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.95/1.53 ( X ), ! Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.95/1.53 c_Groups_Oplus__class_Oplus( X, Z, Y ) }.
% 0.95/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, Y
% 0.95/1.53 , c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.95/1.53 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ), Y ) = Y }.
% 0.95/1.53 { ! class_Groups_Oab__group__add( X ), c_Groups_Ominus__class_Ominus( X,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( X, U, T ), c_Groups_Oplus__class_Oplus( X, Z
% 0.95/1.53 , Y ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Ominus__class_Ominus(
% 0.95/1.53 X, U, Z ), c_Groups_Ominus__class_Ominus( X, T, Y ) ) }.
% 0.95/1.53 { X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.95/1.53 tc_Nat_Onat ), X ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! X =
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.95/1.53 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.95/1.53 ( tc_Nat_Onat, Y, X ), Y ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.95/1.53 ( tc_Nat_Onat ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.95/1.53 tc_Nat_Onat ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) }.
% 0.95/1.53 { X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.95/1.53 tc_Nat_Onat ), X ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.95/1.53 ( tc_Nat_Onat ), X ), ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }
% 0.95/1.53 .
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) =
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.53 { ! c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) =
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) =
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X =
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.53 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.95/1.53 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.95/1.53 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.95/1.53 ( tc_Nat_Onat, X, Y ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.95/1.53 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Z ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Z ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.95/1.53 ( tc_Nat_Onat, X, Y ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.95/1.53 ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, Y ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.95/1.53 ( tc_Nat_Onat, Y, Z ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Z )
% 0.95/1.53 ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), Y = X,
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), Y = X }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.95/1.53 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! Y = X }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), Y = X,
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.95/1.53 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.95/1.53 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.95/1.53 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit0( c_Int_OBit1(
% 0.95/1.53 c_Int_OPls ) ) ) ), X = c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X =
% 0.95/1.53 c_Groups_Oone__class_Oone( tc_Int_Oint ) }.
% 0.95/1.53 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit0( c_Int_OBit1(
% 0.95/1.53 c_Int_OPls ) ) ) ) }.
% 0.95/1.53 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Z ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, skol13( X, Y, Z ) ) ), Z ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, T ) ), c_RealDef_Oreal(
% 0.95/1.53 tc_Nat_Onat, c_Nat_OSuc( skol32( X, Y ) ) ) ) }.
% 0.95/1.53 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, skol35( X, Y, Z ) ) ),
% 0.95/1.53 c_RealDef_Oreal( tc_Nat_Onat, c_Nat_OSuc( Z ) ) ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol37( T, U ) ) }.
% 0.95/1.53 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, skol35( X, Y, Z ) ) ),
% 0.95/1.53 c_RealDef_Oreal( tc_Nat_Onat, c_Nat_OSuc( Z ) ) ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, T ) ), skol37( X, Y ) ) }.
% 0.95/1.53 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Z ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, skol14( X, Y, Z ) ) ), Z ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, T ) ), c_RealDef_Oreal(
% 0.95/1.53 tc_Nat_Onat, c_Nat_OSuc( skol33( X, Y ) ) ) ) }.
% 0.95/1.53 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, skol36( X, Y, Z ) ) ),
% 0.95/1.53 c_RealDef_Oreal( tc_Nat_Onat, c_Nat_OSuc( Z ) ) ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol38( T, U ) ) }.
% 0.95/1.53 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, skol36( X, Y, Z ) ) ),
% 0.95/1.53 c_RealDef_Oreal( tc_Nat_Onat, c_Nat_OSuc( Z ) ) ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, T ) ), skol38( X, Y ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit0( X ) ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit1( X ) ) ) }.
% 0.95/1.53 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit1( c_Int_OBit1(
% 0.95/1.53 c_Int_OPls ) ) ) ) }.
% 0.95/1.53 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, v_w____ ), v_r ) }
% 0.95/1.53 .
% 0.95/1.53 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Complex_Ocomplex ) ), v_r ) }.
% 0.95/1.53 { c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.95/1.53 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ),
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Complex_Ocomplex ) ) ) =
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.95/1.53 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ),
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Complex_Ocomplex ) ) ) ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ), v_r ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.95/1.53 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), X ) ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ), v_r ), !
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.95/1.53 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), X ) ) =
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y,
% 0.95/1.53 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.95/1.53 { ! alpha12( Y ), ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, Y )
% 0.95/1.53 , c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, v_s____ ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, v_s____ ), alpha12
% 0.95/1.53 ( skol15( Y ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, v_s____ ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, skol15( X ) ) }.
% 0.95/1.53 { ! alpha12( X ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, skol16( Y ) ), v_r
% 0.95/1.53 ) }.
% 0.95/1.53 { ! alpha12( X ), c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.95/1.53 hAPP( c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), skol16( X ) ) ) =
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, Y ), v_r ), !
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.95/1.53 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), Y ) ) =
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ), alpha12( X ) }.
% 0.95/1.53 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.95/1.53 tc_Nat_Onat, Y, X ), X ) = Y }.
% 0.95/1.53 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.95/1.53 tc_Nat_Onat, Y, X ), Y ) = X }.
% 0.95/1.53 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.95/1.53 ( tc_Nat_Onat, Z, Y ), X ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.95/1.53 Z, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.95/1.53 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.95/1.53 tc_Nat_Onat, Z, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) =
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) }.
% 0.95/1.53 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.95/1.53 tc_Nat_Onat, Z, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) =
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, X ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, Y ), Y = X }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, Z ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, Z ) }.
% 0.95/1.53 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, Y ) }.
% 0.95/1.53 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, X ) }.
% 0.95/1.53 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) }.
% 0.95/1.53 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, c_Groups_Oplus__class_Oplus
% 0.95/1.53 ( tc_Nat_Onat, Y, X ) ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.95/1.53 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.95/1.53 tc_Nat_Onat, Z, Y ), X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.95/1.53 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) =
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ), Y = X }.
% 0.95/1.53 { ! Y = X, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) =
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) }.
% 0.95/1.53 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) =
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ), Z = X }.
% 0.95/1.53 { ! Z = X, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) =
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) }.
% 0.95/1.53 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.95/1.53 ( tc_Nat_Onat, Z, Y ), X ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, X ), Y ) }.
% 0.95/1.53 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Ozero__class_Ozero(
% 0.95/1.53 tc_Int_Oint ) ) }.
% 0.95/1.53 { ! c_SEQ_Osubseq( X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, Z
% 0.95/1.53 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( X, Y ), hAPP( X, Z
% 0.95/1.53 ) ) }.
% 0.95/1.53 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, skol17( X ), skol34( X ) ),
% 0.95/1.53 c_SEQ_Osubseq( X ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( X, skol17( X ) ),
% 0.95/1.53 hAPP( X, skol34( X ) ) ), c_SEQ_Osubseq( X ) }.
% 0.95/1.53 { ! c_SEQ_Osubseq( X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.95/1.53 hAPP( X, Y ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc( c_Nat_OSuc(
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) ), X =
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X = c_Nat_OSuc(
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.95/1.53 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Oone__class_Oone(
% 0.95/1.53 tc_Int_Oint ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Oplus__class_Oplus(
% 0.95/1.53 tc_Int_Oint, X, Y ) ) }.
% 0.95/1.53 { ! c_SEQ_Osubseq( X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( X
% 0.95/1.53 , Y ), hAPP( X, c_Nat_OSuc( Y ) ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( X, skol18( X ) ),
% 0.95/1.53 hAPP( X, c_Nat_OSuc( skol18( X ) ) ) ), c_SEQ_Osubseq( X ) }.
% 0.95/1.53 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OPls ) ) }.
% 0.95/1.53 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, skol19( Y ) ), v_r
% 0.95/1.53 ) }.
% 0.95/1.53 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.95/1.53 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), skol19( X ) ) ),
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 0.95/1.53 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.95/1.53 tc_Nat_Onat, c_Nat_OSuc( X ) ) ) ) ) }.
% 0.95/1.53 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP( skol20, X ) )
% 0.95/1.53 , v_r ) }.
% 0.95/1.53 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.95/1.53 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), hAPP( skol20, X ) ) ),
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 0.95/1.53 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.95/1.53 tc_Nat_Onat, c_Nat_OSuc( X ) ) ) ) ) }.
% 0.95/1.53 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, skol21( Y ) ), v_r
% 0.95/1.53 ) }.
% 0.95/1.53 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.95/1.53 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), skol21( X ) ) ),
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 0.95/1.53 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.95/1.53 tc_Nat_Onat, c_Nat_OSuc( X ) ) ) ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, Y ), v_r ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.95/1.53 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), Y ) ) ) ), X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ), X ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ), X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, skol22( Y ) ), v_r
% 0.95/1.53 ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ), X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.95/1.53 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), skol22( X ) ) ) ) ), X )
% 0.95/1.53 }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, Y ), v_r ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.95/1.53 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), Y ) ), X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ), X ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ), X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, skol23( Y ) ), v_r
% 0.95/1.53 ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ), X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.95/1.53 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), skol23( X ) ) ), X ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ), v_r ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.95/1.53 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), X ) ),
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, skol24 ), v_r ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.95/1.53 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), skol24 ) ),
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, Y ), v_r ), !
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.95/1.53 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), Y ) ) =
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, skol25 ) }.
% 0.95/1.53 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), v_r ), !
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ), v_r ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.95/1.53 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), skol26 ) ),
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.95/1.53 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), X ) ) ) }.
% 0.95/1.53 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Complex_Ocomplex, Y, X ) ),
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, Y ) ),
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ) ) }.
% 0.95/1.53 { c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, Y, X ) =
% 0.95/1.53 c_Groups_Oplus__class_Oplus( tc_Complex_Ocomplex, Y,
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( tc_Complex_Ocomplex, X ) ) }.
% 0.95/1.53 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ) ),
% 0.95/1.53 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ) ) }.
% 0.95/1.53 { ! class_Int_Onumber__ring( X ), ! c_Groups_Oone__class_Oone( X ) =
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( X, Y ), c_Int_Oiszero( X,
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.95/1.53 tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), c_Groups_Ouminus__class_Ouminus(
% 0.95/1.53 tc_Int_Oint, Y ) ) ) ) }.
% 0.95/1.53 { ! class_Int_Onumber__ring( X ), ! c_Int_Oiszero( X,
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.95/1.53 tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), c_Groups_Ouminus__class_Ouminus(
% 0.95/1.53 tc_Int_Oint, Y ) ) ) ), c_Groups_Oone__class_Oone( X ) =
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( X, Y ) }.
% 0.95/1.53 { ! class_Int_Onumber__ring( X ), ! c_Int_Onumber__class_Onumber__of( X, Y
% 0.95/1.53 ) = c_Groups_Oone__class_Oone( X ), c_Int_Oiszero( X,
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.95/1.53 tc_Int_Oint, Y, c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Int_OBit1
% 0.95/1.53 ( c_Int_OPls ) ) ) ) ) }.
% 0.95/1.53 { ! class_Int_Onumber__ring( X ), ! c_Int_Oiszero( X,
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.95/1.53 tc_Int_Oint, Y, c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Int_OBit1
% 0.95/1.53 ( c_Int_OPls ) ) ) ) ), c_Int_Onumber__class_Onumber__of( X, Y ) =
% 0.95/1.53 c_Groups_Oone__class_Oone( X ) }.
% 0.95/1.53 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.95/1.53 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.95/1.53 c_Int_OBit1( c_Int_OPls ) ) ) ) ), c_Transcendental_Oarctan( X ) ) }.
% 0.95/1.53 { c_Transcendental_Oarctan( c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal )
% 0.95/1.53 ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.95/1.53 { ! class_Rings_Osemiring__1( X ), ! c_Int_Oiszero( X, Y ), Y =
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.53 { ! class_Rings_Osemiring__1( X ), ! Y = c_Groups_Ozero__class_Ozero( X ),
% 0.95/1.53 c_Int_Oiszero( X, Y ) }.
% 0.95/1.53 { ! class_Rings_Osemiring__1( X ), c_Int_Oiszero( X,
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.53 { ! class_Rings_Osemiring__1( X ), ! c_Int_Oiszero( X,
% 0.95/1.53 c_Groups_Oone__class_Oone( X ) ) }.
% 0.95/1.53 { c_Transcendental_Oarctan( c_Groups_Ouminus__class_Ouminus(
% 0.95/1.53 tc_RealDef_Oreal, X ) ) = c_Groups_Ouminus__class_Ouminus(
% 0.95/1.53 tc_RealDef_Oreal, c_Transcendental_Oarctan( X ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_Transcendental_Oarctan
% 0.95/1.53 ( Y ), c_Transcendental_Oarctan( X ) ) }.
% 0.95/1.53 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.95/1.53 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.53 c_Transcendental_Oarctan( Y ), c_Transcendental_Oarctan( X ) ) }.
% 0.95/1.53 { ! class_Int_Onumber__ring( X ), ! class_Int_Oring__char__0( X ), !
% 0.95/1.53 c_Int_Oiszero( X, c_Int_Onumber__class_Onumber__of( X, c_Int_OBit1( Y ) )
% 0.95/1.53 ) }.
% 0.95/1.53 { ! class_Int_Onumber__ring( X ), c_Int_Oiszero( X,
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( X, c_Int_OPls ) ) }.
% 0.95/1.53 { ! class_Int_Onumber__ring( X ), ! class_Int_Oring__char__0( X ), !
% 0.95/1.53 c_Int_Oiszero( X, c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( Y ) )
% 0.95/1.53 ), c_Int_Oiszero( X, c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.95/1.53 { ! class_Int_Onumber__ring( X ), ! class_Int_Oring__char__0( X ), !
% 0.95/1.53 c_Int_Oiszero( X, c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.95/1.53 c_Int_Oiszero( X, c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( Y ) )
% 0.95/1.53 ) }.
% 0.95/1.53 { ! class_Int_Onumber__ring( X ), ! c_Int_Oiszero( X,
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit1( c_Int_OPls ) ) ) }.
% 0.95/1.53 { ! class_Int_Onumber__ring( X ), ! c_Int_Onumber__class_Onumber__of( X, Z
% 0.95/1.53 ) = c_Int_Onumber__class_Onumber__of( X, Y ), c_Int_Oiszero( X,
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.95/1.53 tc_Int_Oint, Z, c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y ) ) ) ) }
% 0.95/1.53 .
% 0.95/1.53 { ! class_Int_Onumber__ring( X ), ! c_Int_Oiszero( X,
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.95/1.53 tc_Int_Oint, Z, c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y ) ) ) ),
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( X, Z ) =
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( X, Y ) }.
% 0.95/1.53 { ! class_Int_Onumber__ring( X ), ! c_Groups_Ozero__class_Ozero( X ) =
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( X, Y ), c_Int_Oiszero( X,
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.95/1.53 tc_Int_Oint, c_Int_OPls, c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y
% 0.95/1.53 ) ) ) ) }.
% 0.95/1.53 { ! class_Int_Onumber__ring( X ), ! c_Int_Oiszero( X,
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.95/1.53 tc_Int_Oint, c_Int_OPls, c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y
% 0.95/1.53 ) ) ) ), c_Groups_Ozero__class_Ozero( X ) =
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( X, Y ) }.
% 0.95/1.53 { ! class_Int_Onumber__ring( X ), ! c_Int_Onumber__class_Onumber__of( X, Y
% 0.95/1.53 ) = c_Groups_Ozero__class_Ozero( X ), c_Int_Oiszero( X,
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.95/1.53 tc_Int_Oint, Y, c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Int_OPls
% 0.95/1.53 ) ) ) ) }.
% 0.95/1.53 { ! class_Int_Onumber__ring( X ), ! c_Int_Oiszero( X,
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.95/1.53 tc_Int_Oint, Y, c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Int_OPls
% 0.95/1.53 ) ) ) ), c_Int_Onumber__class_Onumber__of( X, Y ) =
% 0.95/1.53 c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.53 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_Transcendental_Oarctan
% 0.95/1.53 ( X ), c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.95/1.53 c_Transcendental_Opi, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal
% 0.95/1.53 , c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.95/1.53 { c_Transcendental_Oarctan( c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) )
% 0.95/1.53 = c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.95/1.53 c_Transcendental_Opi, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal
% 0.95/1.53 , c_Int_OBit0( c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.95/1.53 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.53 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.95/1.53 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.95/1.53 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.95/1.54 c_Int_OBit1( c_Int_OPls ) ) ) ) ), c_Transcendental_Oarctan( X ) ) }.
% 0.95/1.54 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_Transcendental_Oarctan
% 0.95/1.54 ( X ), c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.95/1.54 c_Transcendental_Opi, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal
% 0.95/1.54 , c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.95/1.54 c_Int_OBit1( c_Int_OPls ) ) ) ) ), X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.54 tc_RealDef_Oreal, X, c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.95/1.54 c_Transcendental_Opi, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal
% 0.95/1.54 , c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ),
% 0.95/1.54 c_Transcendental_Oarctan( c_Transcendental_Otan( X ) ) = X }.
% 0.95/1.54 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.95/1.54 c_Int_OBit1( c_Int_OPls ) ) ) ) ), c_Transcendental_Oarctan( X ) ) }.
% 0.95/1.54 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_Transcendental_Oarctan
% 0.95/1.54 ( X ), c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.95/1.54 c_Transcendental_Opi, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal
% 0.95/1.54 , c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.95/1.54 { c_Transcendental_Otan( c_Transcendental_Oarctan( X ) ) = X }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, c_Transcendental_Opi )
% 0.95/1.54 , c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.95/1.54 c_Int_OBit1( c_Int_OPls ) ) ) ), X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.54 tc_RealDef_Oreal, X, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.95/1.54 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_Transcendental_Otan( X
% 0.95/1.54 ), c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.95/1.54 { c_Transcendental_Otan( c_Transcendental_Oarctan( X ) ) = X }.
% 0.95/1.54 { c_Transcendental_Otan( c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal
% 0.95/1.54 , X ) ) = c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.95/1.54 c_Transcendental_Otan( X ) ) }.
% 0.95/1.54 { c_Transcendental_Otan( c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) )
% 0.95/1.54 = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.95/1.54 { c_Transcendental_Otan( c_Transcendental_Opi ) =
% 0.95/1.54 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.95/1.54 { c_Transcendental_Otan( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, X,
% 0.95/1.54 c_Transcendental_Opi ) ) = c_Transcendental_Otan( X ) }.
% 0.95/1.54 { c_Transcendental_Otan( c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal
% 0.95/1.54 , c_Transcendental_Opi, c_Int_Onumber__class_Onumber__of(
% 0.95/1.54 tc_RealDef_Oreal, c_Int_OBit0( c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) )
% 0.95/1.54 ) ) ) = c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.95/1.54 c_Int_OBit1( c_Int_OPls ) ) ) ) ), c_Orderings_Oord__class_Oless(
% 0.95/1.54 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.95/1.54 c_Transcendental_Otan( X ) ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.95/1.54 c_Int_OBit1( c_Int_OPls ) ) ) ) ), X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.54 tc_RealDef_Oreal, X, Y ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.54 tc_RealDef_Oreal, Y, c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.95/1.54 c_Transcendental_Opi, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal
% 0.95/1.54 , c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ),
% 0.95/1.54 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_Transcendental_Otan( X
% 0.95/1.54 ), c_Transcendental_Otan( Y ) ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.95/1.54 c_Int_OBit1( c_Int_OPls ) ) ) ) ), X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.54 tc_RealDef_Oreal, X, c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.95/1.54 c_Transcendental_Opi, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal
% 0.95/1.54 , c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.95/1.54 c_Int_OBit1( c_Int_OPls ) ) ) ) ), Y ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.54 tc_RealDef_Oreal, Y, c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.95/1.54 c_Transcendental_Opi, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal
% 0.95/1.54 , c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, Y ),
% 0.95/1.54 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_Transcendental_Otan( X
% 0.95/1.54 ), c_Transcendental_Otan( Y ) ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.95/1.54 c_Int_OBit1( c_Int_OPls ) ) ) ) ), X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.54 tc_RealDef_Oreal, X, c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.95/1.54 c_Transcendental_Opi, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal
% 0.95/1.54 , c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.95/1.54 c_Int_OBit1( c_Int_OPls ) ) ) ) ), Y ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.54 tc_RealDef_Oreal, Y, c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.95/1.54 c_Transcendental_Opi, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal
% 0.95/1.54 , c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_Transcendental_Otan( X
% 0.95/1.54 ), c_Transcendental_Otan( Y ) ), c_Orderings_Oord__class_Oless(
% 0.95/1.54 tc_RealDef_Oreal, X, Y ) }.
% 0.95/1.54 { c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_Transcendental_Otan( X )
% 0.95/1.54 ) = c_Transcendental_Otan( c_Groups_Ominus__class_Ominus(
% 0.95/1.54 tc_RealDef_Oreal, c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.95/1.54 c_Transcendental_Opi, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal
% 0.95/1.54 , c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ), X ) ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ),
% 0.95/1.54 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.95/1.54 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.95/1.54 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) ), skol27( Y ) ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ),
% 0.95/1.54 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.95/1.54 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, skol27( Y ),
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.95/1.54 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ),
% 0.95/1.54 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ), c_Transcendental_Otan(
% 0.95/1.54 skol27( X ) ) = X }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol28( Y ) ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.95/1.54 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, skol28( Y ),
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.95/1.54 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.95/1.54 c_Transcendental_Otan( skol28( X ) ) = X }.
% 0.95/1.54 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.95/1.54 c_Int_OBit1( c_Int_OPls ) ) ) ) ), skol29( Y ) ) }.
% 0.95/1.54 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, skol29( Y ),
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.95/1.54 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.95/1.54 { c_Transcendental_Otan( skol29( X ) ) = X }.
% 0.95/1.54 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.95/1.54 c_Int_OBit1( c_Int_OPls ) ) ) ) ), skol30( Y ) ) }.
% 0.95/1.54 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, skol30( Y ),
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.95/1.54 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.95/1.54 { c_Transcendental_Otan( skol30( X ) ) = X }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.95/1.54 c_Int_OBit1( c_Int_OPls ) ) ) ) ), Y ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.54 tc_RealDef_Oreal, Y, c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.95/1.54 c_Transcendental_Opi, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal
% 0.95/1.54 , c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ), ! c_Transcendental_Otan
% 0.95/1.54 ( Y ) = X, Y = skol30( X ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.95/1.54 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol31( Y ) ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.95/1.54 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, skol31( Y ),
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.95/1.54 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.95/1.54 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, c_Transcendental_Otan
% 0.95/1.54 ( skol31( X ) ) ) }.
% 0.95/1.54 { c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.95/1.54 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) =
% 0.95/1.54 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.95/1.54 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ), c_Transcendental_Oarctan(
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ),
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit1(
% 0.95/1.54 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) ) ),
% 0.95/1.54 c_Transcendental_Oarctan( c_Rings_Oinverse__class_Odivide(
% 0.95/1.54 tc_RealDef_Oreal, c_Groups_Oone__class_Oone( tc_RealDef_Oreal ),
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit1(
% 0.95/1.54 c_Int_OBit1( c_Int_OBit1( c_Int_OBit1( c_Int_OBit0( c_Int_OBit1(
% 0.95/1.54 c_Int_OBit1( c_Int_OBit1( c_Int_OPls ) ) ) ) ) ) ) ) ) ) ) ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.95/1.54 , c_Groups_Oabs__class_Oabs( X, Z ), Y ), ! c_Orderings_Oord__class_Oless
% 0.95/1.54 ( X, c_Groups_Oabs__class_Oabs( X, U ), T ),
% 0.95/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X,
% 0.95/1.54 c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, U ) ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.95/1.54 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ), X =
% 0.95/1.54 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.95/1.54 { ! X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ),
% 0.95/1.54 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Z, Y ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Z, Y ),
% 0.95/1.54 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ),
% 0.95/1.54 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Z, Y ),
% 0.95/1.54 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) ) }.
% 0.95/1.54 { ! class_Rings_Oring( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, Z, c_Groups_Ouminus__class_Ouminus( X,
% 0.95/1.54 Y ) ) }.
% 0.95/1.54 { ! class_Rings_Oring( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, c_Groups_Ouminus__class_Ouminus( X, Z )
% 0.95/1.54 , Y ) }.
% 0.95/1.54 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, Z, c_Groups_Ouminus__class_Ouminus( X,
% 0.95/1.54 Y ) ) = c_Groups_Ouminus__class_Ouminus( X, c_Groups_Otimes__class_Otimes
% 0.95/1.54 ( X, Z, Y ) ) }.
% 0.95/1.54 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, Z, c_Groups_Ouminus__class_Ouminus( X,
% 0.95/1.54 Y ) ) = c_Groups_Ouminus__class_Ouminus( X, c_Groups_Otimes__class_Otimes
% 0.95/1.54 ( X, Z, Y ) ) }.
% 0.95/1.54 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, c_Groups_Ouminus__class_Ouminus( X, Z )
% 0.95/1.54 , Y ) = c_Groups_Ouminus__class_Ouminus( X, c_Groups_Otimes__class_Otimes
% 0.95/1.54 ( X, Z, Y ) ) }.
% 0.95/1.54 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, c_Groups_Ouminus__class_Ouminus( X, Z )
% 0.95/1.54 , Y ) = c_Groups_Ouminus__class_Ouminus( X, c_Groups_Otimes__class_Otimes
% 0.95/1.54 ( X, Z, Y ) ) }.
% 0.95/1.54 { ! class_Rings_Oring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.95/1.54 c_Groups_Ouminus__class_Ouminus( X, Z ), Y ) =
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, Z, c_Groups_Ouminus__class_Ouminus( X,
% 0.95/1.54 Y ) ) }.
% 0.95/1.54 { ! class_Rings_Oring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.95/1.54 c_Groups_Ouminus__class_Ouminus( X, Z ), c_Groups_Ouminus__class_Ouminus
% 0.95/1.54 ( X, Y ) ) = c_Groups_Otimes__class_Otimes( X, Z, Y ) }.
% 0.95/1.54 { ! class_Rings_Oidom( X ), ! c_Groups_Otimes__class_Otimes( X, Z, Z ) =
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, Y, Y ), Z = Y, Z =
% 0.95/1.54 c_Groups_Ouminus__class_Ouminus( X, Y ) }.
% 0.95/1.54 { ! class_Rings_Oidom( X ), ! Z = Y, c_Groups_Otimes__class_Otimes( X, Z, Z
% 0.95/1.54 ) = c_Groups_Otimes__class_Otimes( X, Y, Y ) }.
% 0.95/1.54 { ! class_Rings_Oidom( X ), ! Z = c_Groups_Ouminus__class_Ouminus( X, Y ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, Z, Z ) = c_Groups_Otimes__class_Otimes
% 0.95/1.54 ( X, Y, Y ) }.
% 0.95/1.54 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.54 c_RealVector_Onorm__class_Onorm( X, c_Groups_Otimes__class_Otimes( X, Z,
% 0.95/1.54 Y ) ), c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.95/1.54 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.95/1.54 ( X, Y ) ) ) }.
% 0.95/1.54 { ! class_Rings_Osemiring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Oplus__class_Oplus( X
% 0.95/1.54 , c_Groups_Otimes__class_Otimes( X, Z, T ), Y ) ) =
% 0.95/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.95/1.54 c_Groups_Oplus__class_Oplus( X, U, Z ), T ), Y ) }.
% 0.95/1.54 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.95/1.54 , Y ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 0.95/1.54 , T, Y ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.95/1.54 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.95/1.54 , Y ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 0.95/1.54 , T, Y ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.95/1.54 { ! class_Rings_Ocomm__semiring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.95/1.54 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.95/1.54 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.95/1.54 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.95/1.54 ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.95/1.54 T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.95/1.54 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.95/1.54 ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.95/1.54 T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.95/1.54 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.95/1.54 ( X ), ! c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 0.95/1.54 , U, T ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.95/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, U, Y )
% 0.95/1.54 , c_Groups_Otimes__class_Otimes( X, Z, T ) ), U = Z, T = Y }.
% 0.95/1.54 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.95/1.54 ( X ), ! U = Z, c_Groups_Oplus__class_Oplus( X,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.95/1.54 X, Z, Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, U, Y ), c_Groups_Otimes__class_Otimes(
% 0.95/1.54 X, Z, T ) ) }.
% 0.95/1.54 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.95/1.54 ( X ), ! T = Y, c_Groups_Oplus__class_Oplus( X,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.95/1.54 X, Z, Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, U, Y ), c_Groups_Otimes__class_Otimes(
% 0.95/1.54 X, Z, T ) ) }.
% 0.95/1.54 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, T, Z ), c_Groups_Otimes__class_Otimes(
% 0.95/1.54 X, Y, Z ) ) = c_Groups_Otimes__class_Otimes( X,
% 0.95/1.54 c_Groups_Oplus__class_Oplus( X, T, Y ), Z ) }.
% 0.95/1.54 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.95/1.54 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.95/1.54 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.95/1.54 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.95/1.54 ( X ), U = T, Z = Y, ! c_Groups_Oplus__class_Oplus( X,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, U, Z ), c_Groups_Otimes__class_Otimes(
% 0.95/1.54 X, T, Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, U, Y ), c_Groups_Otimes__class_Otimes(
% 0.95/1.54 X, T, Z ) ) }.
% 0.95/1.54 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.95/1.54 ( X ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.95/1.54 U, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) =
% 0.95/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, U, Y )
% 0.95/1.54 , c_Groups_Otimes__class_Otimes( X, T, Z ) ), ! U = T }.
% 0.95/1.54 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.95/1.54 ( X ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.95/1.54 U, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) =
% 0.95/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, U, Y )
% 0.95/1.54 , c_Groups_Otimes__class_Otimes( X, T, Z ) ), ! Z = Y }.
% 0.95/1.54 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.95/1.54 T, c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus
% 0.95/1.54 ( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.95/1.54 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, T, Z
% 0.95/1.54 ), Y ) = c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes
% 0.95/1.54 ( X, T, Y ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.95/1.54 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, T, Z
% 0.95/1.54 ), Y ) = c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes
% 0.95/1.54 ( X, T, Y ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.95/1.54 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Ominus__class_Ominus( X, Z
% 0.95/1.54 , Y ) ) = c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes
% 0.95/1.54 ( X, T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.95/1.54 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Ominus__class_Ominus( X, Z
% 0.95/1.54 , Y ) ) = c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes
% 0.95/1.54 ( X, T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.95/1.54 { ! class_Groups_Ocomm__monoid__mult( X ), c_Groups_Otimes__class_Otimes( X
% 0.95/1.54 , Y, c_Groups_Oone__class_Oone( X ) ) = Y }.
% 0.95/1.54 { ! class_Groups_Omonoid__mult( X ), c_Groups_Otimes__class_Otimes( X, Y,
% 0.95/1.54 c_Groups_Oone__class_Oone( X ) ) = Y }.
% 0.95/1.54 { ! class_Groups_Ocomm__monoid__mult( X ), c_Groups_Otimes__class_Otimes( X
% 0.95/1.54 , c_Groups_Oone__class_Oone( X ), Y ) = Y }.
% 0.95/1.54 { ! class_Groups_Omonoid__mult( X ), c_Groups_Otimes__class_Otimes( X,
% 0.95/1.54 c_Groups_Oone__class_Oone( X ), Y ) = Y }.
% 0.95/1.54 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.95/1.54 Y, c_Groups_Oone__class_Oone( X ) ) = Y }.
% 0.95/1.54 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.95/1.54 c_Groups_Oone__class_Oone( X ), Y ) = Y }.
% 0.95/1.54 { ! class_Rings_Odivision__ring( X ), c_Groups_Otimes__class_Otimes( X, T,
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( X, c_Groups_Otimes__class_Otimes( X, T,
% 0.95/1.54 Z ), Y ) }.
% 0.95/1.54 { ! class_Fields_Ofield__inverse__zero( X ), c_Groups_Otimes__class_Otimes
% 0.95/1.54 ( X, c_Rings_Oinverse__class_Odivide( X, U, T ),
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( X, c_Groups_Otimes__class_Otimes( X, U,
% 0.95/1.54 Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__idom( X ), c_Groups_Otimes__class_Otimes( X,
% 0.95/1.54 c_Groups_Oabs__class_Oabs( X, Y ), c_Groups_Oabs__class_Oabs( X, Y ) ) =
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, Y, Y ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__idom( X ), c_Groups_Oabs__class_Oabs( X,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 0.95/1.54 c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.95/1.54 { c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ) = X }.
% 0.95/1.54 { c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ) ) =
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X, Y ) }.
% 0.95/1.54 { c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Z, Y ), X ) =
% 0.95/1.54 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ) }.
% 0.95/1.54 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( X, T ), c_Groups_Otimes__class_Otimes(
% 0.95/1.54 X, c_Int_Onumber__class_Onumber__of( X, Z ), Y ) ) =
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Int_Oint, T, Z ) ), Y ) }.
% 0.95/1.54 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( X, Z ),
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( X, c_Groups_Otimes__class_Otimes(
% 0.95/1.54 tc_Int_Oint, Z, Y ) ) }.
% 0.95/1.54 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ) ) =
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.95/1.54 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.95/1.54 { ! class_Rings_Ocomm__semiring__0( X ), hAPP( c_Polynomial_Opoly( X,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Polynomial_Opoly( X ), T, Z ) ), Y ) =
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, hAPP( c_Polynomial_Opoly( X, T ), Y ),
% 0.95/1.54 hAPP( c_Polynomial_Opoly( X, Z ), Y ) ) }.
% 0.95/1.54 { ! class_RealVector_Oreal__normed__div__algebra( X ),
% 0.95/1.54 c_RealVector_Onorm__class_Onorm( X, c_Groups_Otimes__class_Otimes( X, Z,
% 0.95/1.54 Y ) ) = c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.95/1.54 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.95/1.54 ( X, Y ) ) }.
% 0.95/1.54 { c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) =
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) }.
% 0.95/1.54 { ! class_Groups_Oab__semigroup__mult( X ), c_Groups_Otimes__class_Otimes(
% 0.95/1.54 X, c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) =
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Otimes__class_Otimes( X, Z
% 0.95/1.54 , Y ) ) }.
% 0.95/1.54 { c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, Y ), X ) =
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ) }.
% 0.95/1.54 { ! class_RealVector_Oreal__normed__algebra( X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.54 c_RealVector_Onorm__class_Onorm( X, Z ), Y ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.54 c_RealVector_Onorm__class_Onorm( X, U ), T ),
% 0.95/1.54 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.54 c_RealVector_Onorm__class_Onorm( X, c_Groups_Otimes__class_Otimes( X, Z,
% 0.95/1.54 U ) ), c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, T ) ) }.
% 0.95/1.54 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.95/1.54 Z, Y ) = c_Groups_Otimes__class_Otimes( X, Y, Z ) }.
% 0.95/1.54 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.95/1.54 T, c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, Z, c_Groups_Otimes__class_Otimes( X, T
% 0.95/1.54 , Y ) ) }.
% 0.95/1.54 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.95/1.54 T, c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.95/1.54 ), Y ) }.
% 0.95/1.54 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) =
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Otimes__class_Otimes( X, Z
% 0.95/1.54 , Y ) ) }.
% 0.95/1.54 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) =
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X, T, Y
% 0.95/1.54 ), Z ) }.
% 0.95/1.54 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.95/1.54 X, Z, Y ) ) = c_Groups_Otimes__class_Otimes( X, U,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Otimes__class_Otimes( X, Z
% 0.95/1.54 , Y ) ) ) }.
% 0.95/1.54 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.95/1.54 X, Z, Y ) ) = c_Groups_Otimes__class_Otimes( X, Z,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X, U, T
% 0.95/1.54 ), Y ) ) }.
% 0.95/1.54 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.95/1.54 X, Z, Y ) ) = c_Groups_Otimes__class_Otimes( X,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, U, Z ), c_Groups_Otimes__class_Otimes(
% 0.95/1.54 X, T, Y ) ) }.
% 0.95/1.54 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), !
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ) =
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ), Z = Y }.
% 0.95/1.54 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! Z = Y,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ) =
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) }.
% 0.95/1.54 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), !
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ) =
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ), Z = Y }.
% 0.95/1.54 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! Z = Y,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ) =
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) }.
% 0.95/1.54 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.95/1.54 }.
% 0.95/1.54 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.95/1.54 Y, c_Groups_Ozero__class_Ozero( X ) ) = c_Groups_Ozero__class_Ozero( X )
% 0.95/1.54 }.
% 0.95/1.54 { ! class_Rings_Ono__zero__divisors( X ), ! c_Groups_Otimes__class_Otimes(
% 0.95/1.54 X, Z, Y ) = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.95/1.54 .
% 0.95/1.54 { ! class_Rings_Ono__zero__divisors( X ), Y = c_Groups_Ozero__class_Ozero(
% 0.95/1.54 X ), Z = c_Groups_Ozero__class_Ozero( X ), !
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, Y, Z ) = c_Groups_Ozero__class_Ozero( X
% 0.95/1.54 ) }.
% 0.95/1.54 { ! class_Rings_Oring__no__zero__divisors( X ), !
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, Z, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.95/1.54 ), Z = c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero
% 0.95/1.54 ( X ) }.
% 0.95/1.54 { ! class_Rings_Oring__no__zero__divisors( X ), ! Z =
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.95/1.54 ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.54 { ! class_Rings_Oring__no__zero__divisors( X ), ! Y =
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.95/1.54 ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.54 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, Y, c_Groups_Ozero__class_Ozero( X ) ) =
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.54 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, Y, c_Groups_Ozero__class_Ozero( X ) ) =
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.54 { ! class_Rings_Omult__zero( X ), c_Groups_Otimes__class_Otimes( X, Y,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.54 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, c_Groups_Ozero__class_Ozero( X ), Y ) =
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.54 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, c_Groups_Ozero__class_Ozero( X ), Y ) =
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.54 { ! class_Rings_Omult__zero( X ), c_Groups_Otimes__class_Otimes( X,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.95/1.54 }.
% 0.95/1.54 { ! class_Rings_Oring__1__no__zero__divisors( X ), !
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, Y, Y ) = c_Groups_Oone__class_Oone( X )
% 0.95/1.54 , Y = c_Groups_Oone__class_Oone( X ), Y = c_Groups_Ouminus__class_Ouminus
% 0.95/1.54 ( X, c_Groups_Oone__class_Oone( X ) ) }.
% 0.95/1.54 { ! class_Rings_Oring__1__no__zero__divisors( X ), ! Y =
% 0.95/1.54 c_Groups_Oone__class_Oone( X ), c_Groups_Otimes__class_Otimes( X, Y, Y )
% 0.95/1.54 = c_Groups_Oone__class_Oone( X ) }.
% 0.95/1.54 { ! class_Rings_Oring__1__no__zero__divisors( X ), ! Y =
% 0.95/1.54 c_Groups_Ouminus__class_Ouminus( X, c_Groups_Oone__class_Oone( X ) ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, Y, Y ) = c_Groups_Oone__class_Oone( X )
% 0.95/1.54 }.
% 0.95/1.54 { ! class_Rings_Ocomm__ring__1( X ), c_Groups_Ouminus__class_Ouminus( X, Y
% 0.95/1.54 ) = c_Groups_Otimes__class_Otimes( X, c_Groups_Ouminus__class_Ouminus( X
% 0.95/1.54 , c_Groups_Oone__class_Oone( X ) ), Y ) }.
% 0.95/1.54 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.95/1.54 , ! T = c_Rings_Oinverse__class_Odivide( X, Z, Y ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, T, Y ) = Z }.
% 0.95/1.54 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.95/1.54 , ! c_Groups_Otimes__class_Otimes( X, T, Y ) = Z, T =
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.95/1.54 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.95/1.54 , ! c_Rings_Oinverse__class_Odivide( X, T, Y ) = Z, T =
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, Z, Y ) }.
% 0.95/1.54 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.95/1.54 , ! T = c_Groups_Otimes__class_Otimes( X, Z, Y ),
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( X, T, Y ) = Z }.
% 0.95/1.54 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.95/1.54 , ! T = c_Groups_Otimes__class_Otimes( X, Z, Y ),
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( X, T, Y ) = Z }.
% 0.95/1.54 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.95/1.54 , ! c_Groups_Otimes__class_Otimes( X, T, Y ) = Z, T =
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.95/1.54 { ! class_Fields_Ofield__inverse__zero( X ), ! T =
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( X, Z, Y ), alpha44( X, Y, Z, T ) }.
% 0.95/1.54 { ! class_Fields_Ofield__inverse__zero( X ), ! T =
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( X, Z, Y ), alpha13( X, Y, T ) }.
% 0.95/1.54 { ! class_Fields_Ofield__inverse__zero( X ), ! alpha44( X, Y, Z, T ), !
% 0.95/1.54 alpha13( X, Y, T ), T = c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.95/1.54 { ! alpha44( X, Y, Z, T ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, T, Y ) = Z }.
% 0.95/1.54 { ! Y = c_Groups_Ozero__class_Ozero( X ), alpha44( X, Y, Z, T ) }.
% 0.95/1.54 { ! c_Groups_Otimes__class_Otimes( X, T, Y ) = Z, alpha44( X, Y, Z, T ) }.
% 0.95/1.54 { ! alpha13( X, Y, Z ), ! Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.54 { Y = c_Groups_Ozero__class_Ozero( X ), alpha13( X, Y, Z ) }.
% 0.95/1.54 { ! Z = c_Groups_Ozero__class_Ozero( X ), alpha13( X, Y, Z ) }.
% 0.95/1.54 { ! class_Fields_Ofield__inverse__zero( X ), !
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( X, T, Z ) = Y, alpha45( X, Y, Z, T ) }.
% 0.95/1.54 { ! class_Fields_Ofield__inverse__zero( X ), !
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( X, T, Z ) = Y, alpha14( X, Y, Z ) }.
% 0.95/1.54 { ! class_Fields_Ofield__inverse__zero( X ), ! alpha45( X, Y, Z, T ), !
% 0.95/1.54 alpha14( X, Y, Z ), c_Rings_Oinverse__class_Odivide( X, T, Z ) = Y }.
% 0.95/1.54 { ! alpha45( X, Y, Z, T ), Z = c_Groups_Ozero__class_Ozero( X ), T =
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, Y, Z ) }.
% 0.95/1.54 { ! Z = c_Groups_Ozero__class_Ozero( X ), alpha45( X, Y, Z, T ) }.
% 0.95/1.54 { ! T = c_Groups_Otimes__class_Otimes( X, Y, Z ), alpha45( X, Y, Z, T ) }.
% 0.95/1.54 { ! alpha14( X, Y, Z ), ! Z = c_Groups_Ozero__class_Ozero( X ), Y =
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.54 { Z = c_Groups_Ozero__class_Ozero( X ), alpha14( X, Y, Z ) }.
% 0.95/1.54 { ! Y = c_Groups_Ozero__class_Ozero( X ), alpha14( X, Y, Z ) }.
% 0.95/1.54 { ! class_Fields_Ofield__inverse__zero( X ), Y =
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, T, Y ), c_Groups_Otimes__class_Otimes(
% 0.95/1.54 X, Z, Y ) ) = c_Rings_Oinverse__class_Odivide( X, T, Z ) }.
% 0.95/1.54 { ! class_Fields_Ofield__inverse__zero( X ), Y =
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, Y, T ), c_Groups_Otimes__class_Otimes(
% 0.95/1.54 X, Y, Z ) ) = c_Rings_Oinverse__class_Odivide( X, T, Z ) }.
% 0.95/1.54 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ), ! c_Rings_Oinverse__class_Odivide( X, U
% 0.95/1.54 , Y ) = c_Rings_Oinverse__class_Odivide( X, T, Z ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, U, Z ) = c_Groups_Otimes__class_Otimes
% 0.95/1.54 ( X, T, Y ) }.
% 0.95/1.54 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ), ! c_Groups_Otimes__class_Otimes( X, U,
% 0.95/1.54 Z ) = c_Groups_Otimes__class_Otimes( X, T, Y ),
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( X, U, Y ) =
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( X, T, Z ) }.
% 0.95/1.54 { ! class_Int_Onumber( X ), ! class_Rings_Oring( X ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, T, Z
% 0.95/1.54 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.95/1.54 c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X, T,
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( X, Y ) ), c_Groups_Otimes__class_Otimes
% 0.95/1.54 ( X, Z, c_Int_Onumber__class_Onumber__of( X, Y ) ) ) }.
% 0.95/1.54 { ! class_Int_Onumber( X ), ! class_Rings_Oring( X ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.95/1.54 ), c_Groups_Ominus__class_Ominus( X, Z, Y ) ) =
% 0.95/1.54 c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X,
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( X, T ), Z ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.95/1.54 ), Y ) ) }.
% 0.95/1.54 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, Y
% 0.95/1.54 , Y ) = c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X
% 0.95/1.54 , c_Groups_Oone__class_Oone( X ), c_Groups_Oone__class_Oone( X ) ), Y ) }
% 0.95/1.54 .
% 0.95/1.54 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, Z
% 0.95/1.54 , c_Groups_Otimes__class_Otimes( X, Y, Z ) ) =
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, Y,
% 0.95/1.54 c_Groups_Oone__class_Oone( X ) ), Z ) }.
% 0.95/1.54 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, Z, Y ), Y ) =
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.95/1.54 c_Groups_Oone__class_Oone( X ) ), Y ) }.
% 0.95/1.54 { ! class_Rings_Oring( X ), c_Groups_Ominus__class_Ominus( X,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.95/1.54 X, Z, Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, U, c_Groups_Ominus__class_Ominus( X, T
% 0.95/1.54 , Y ) ), c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus
% 0.95/1.54 ( X, U, Z ), Y ) ) }.
% 0.95/1.54 { ! class_Rings_Oring( X ), ! c_Groups_Oplus__class_Oplus( X,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, W, U ), T ) =
% 0.95/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.95/1.54 , Y ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.95/1.54 c_Groups_Ominus__class_Ominus( X, W, Z ), U ), T ) = Y }.
% 0.95/1.54 { ! class_Rings_Oring( X ), ! c_Groups_Oplus__class_Oplus( X,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, W, Z
% 0.95/1.54 ), U ), T ) = Y, c_Groups_Oplus__class_Oplus( X,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, W, U ), T ) =
% 0.95/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.95/1.54 , Y ) }.
% 0.95/1.54 { ! class_Rings_Oring( X ), ! c_Groups_Oplus__class_Oplus( X,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, W, U ), T ) =
% 0.95/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.95/1.54 , Y ), T = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes
% 0.95/1.54 ( X, c_Groups_Ominus__class_Ominus( X, Z, W ), U ), Y ) }.
% 0.95/1.54 { ! class_Rings_Oring( X ), ! T = c_Groups_Oplus__class_Oplus( X,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, Z, W
% 0.95/1.54 ), U ), Y ), c_Groups_Oplus__class_Oplus( X,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, W, U ), T ) =
% 0.95/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.95/1.54 , Y ) }.
% 0.95/1.54 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.95/1.54 c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X, U, T
% 0.95/1.54 ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.95/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Oplus__class_Oplus( X,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, U, Z
% 0.95/1.54 ), c_Groups_Ominus__class_Ominus( X, T, Y ) ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, U, Z
% 0.95/1.54 ), Y ) ), c_Groups_Otimes__class_Otimes( X, Z,
% 0.95/1.54 c_Groups_Ominus__class_Ominus( X, T, Y ) ) ) }.
% 0.95/1.54 { ! class_Int_Onumber( X ), ! class_Rings_Osemiring( X ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.95/1.54 , c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.95/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, T,
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( X, Y ) ), c_Groups_Otimes__class_Otimes
% 0.95/1.54 ( X, Z, c_Int_Onumber__class_Onumber__of( X, Y ) ) ) }.
% 0.95/1.54 { ! class_Int_Onumber( X ), ! class_Rings_Osemiring( X ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.95/1.54 ), c_Groups_Oplus__class_Oplus( X, Z, Y ) ) =
% 0.95/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( X, T ), Z ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.95/1.54 ), Y ) ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.95/1.54 ( X, c_Groups_Oone__class_Oone( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.95/1.54 ( X, c_Groups_Oone__class_Oone( X ), Z ), c_Orderings_Oord__class_Oless(
% 0.95/1.54 X, c_Groups_Oone__class_Oone( X ), c_Groups_Otimes__class_Otimes( X, Y, Z
% 0.95/1.54 ) ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.95/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z )
% 0.95/1.54 , c_Groups_Otimes__class_Otimes( X, Y, Y ) ) =
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ) }
% 0.95/1.54 .
% 0.95/1.54 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.95/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z )
% 0.95/1.54 , c_Groups_Otimes__class_Otimes( X, Y, Y ) ) =
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.95/1.54 .
% 0.95/1.54 { ! class_Rings_Olinordered__ring__strict( X ), ! Z =
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X )
% 0.95/1.54 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z
% 0.95/1.54 ), c_Groups_Otimes__class_Otimes( X, Y, Y ) ) =
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.54 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.95/1.54 ( X ), Y = c_Groups_Ozero__class_Ozero( X ), ! W = U, T = Z, !
% 0.95/1.54 c_Groups_Oplus__class_Oplus( X, W, c_Groups_Otimes__class_Otimes( X, Y, T
% 0.95/1.54 ) ) = c_Groups_Oplus__class_Oplus( X, U, c_Groups_Otimes__class_Otimes(
% 0.95/1.54 X, Y, Z ) ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__ring( X ), ! c_Orderings_Oord__class_Oless( X
% 0.95/1.54 , c_Groups_Otimes__class_Otimes( X, Y, Y ), c_Groups_Ozero__class_Ozero(
% 0.95/1.54 X ) ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.95/1.54 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ), alpha15( X, Y, Z, T ),
% 0.95/1.54 alpha46( X, Y, Z, T ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha15( X, Y, Z, T ),
% 0.95/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.95/1.54 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha46( X, Y, Z, T ),
% 0.95/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.95/1.54 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.95/1.54 { ! alpha46( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, Z,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.54 { ! alpha46( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, Y, T ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.95/1.54 , ! c_Orderings_Oord__class_Oless( X, Y, T ), alpha46( X, Y, Z, T ) }.
% 0.95/1.54 { ! alpha15( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.95/1.54 { ! alpha15( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.95/1.54 , ! c_Orderings_Oord__class_Oless( X, T, Y ), alpha15( X, Y, Z, T ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.95/1.54 ), c_Groups_Otimes__class_Otimes( X, T, Y ) ), alpha16( X, Y, Z, T ),
% 0.95/1.54 alpha47( X, Y, Z, T ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha16( X, Y, Z, T ),
% 0.95/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.95/1.54 ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha47( X, Y, Z, T ),
% 0.95/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.95/1.54 ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.95/1.54 { ! alpha47( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, T,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.54 { ! alpha47( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( X, T, c_Groups_Ozero__class_Ozero( X ) )
% 0.95/1.54 , ! c_Orderings_Oord__class_Oless( X, Y, Z ), alpha47( X, Y, Z, T ) }.
% 0.95/1.54 { ! alpha16( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ), T ) }.
% 0.95/1.54 { ! alpha16( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T )
% 0.95/1.54 , ! c_Orderings_Oord__class_Oless( X, Z, Y ), alpha16( X, Y, Z, T ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.95/1.54 ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.95/1.54 T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 0.95/1.54 c_Orderings_Oord__class_Oless( X, T, Z ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.95/1.54 ! c_Orderings_Oord__class_Oless( X, T, Z ), c_Orderings_Oord__class_Oless
% 0.95/1.54 ( X, c_Groups_Otimes__class_Otimes( X, Y, T ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.95/1.54 ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.95/1.54 , c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.95/1.54 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.95/1.54 , c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.95/1.54 Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.95/1.54 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.95/1.54 , c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z,
% 0.95/1.54 Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, Z, Y ) ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.95/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ) }
% 0.95/1.54 .
% 0.95/1.54 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, Z, Y ) ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.95/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ) }
% 0.95/1.54 .
% 0.95/1.54 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.95/1.54 ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.95/1.54 T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 0.95/1.54 c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.95/1.54 ! c_Orderings_Oord__class_Oless( X, Z, T ), c_Orderings_Oord__class_Oless
% 0.95/1.54 ( X, c_Groups_Otimes__class_Otimes( X, Y, T ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.95/1.54 ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.95/1.54 , c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.95/1.54 Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.95/1.54 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.95/1.54 , c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.95/1.54 ( X, c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless
% 0.95/1.54 ( X, c_Groups_Otimes__class_Otimes( X, Z, T ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.95/1.54 ( X, c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless
% 0.95/1.54 ( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__comm__semiring__strict( X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.95/1.54 ( X, c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless
% 0.95/1.54 ( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.95/1.54 ( X, T, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 0.95/1.54 ( X, c_Groups_Otimes__class_Otimes( X, Y, T ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, Z, T ) ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.95/1.54 ( X, T, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 0.95/1.54 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, T, Z ) ) }.
% 0.95/1.54 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.95/1.54 ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.95/1.54 , c_Groups_Otimes__class_Otimes( X, Z, Y ), c_Groups_Ozero__class_Ozero(
% 0.95/1.54 X ) ) }.
% 0.95/1.54 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X )
% 0.95/1.54 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.95/1.54 X ), Y ), c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, Z, Y ), c_Groups_Ozero__class_Ozero( X
% 0.95/1.54 ) ) }.
% 0.95/1.54 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.95/1.54 , c_Groups_Ozero__class_Ozero( X ), Z ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.95/1.54 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.95/1.54 ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.95/1.54 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.95/1.54 , Z, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.95/1.54 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.95/1.54 ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.95/1.54 { ! class_Rings_Oordered__semiring( X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, U, T ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.95/1.54 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.95/1.54 X ), U ), c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, Z, U ), c_Groups_Otimes__class_Otimes(
% 0.95/1.54 X, Y, T ) ) }.
% 0.95/1.54 { ! class_Rings_Oordered__semiring( X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, U, T ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.95/1.54 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.95/1.54 X ), U ), c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, Z, U ), c_Groups_Otimes__class_Otimes(
% 0.95/1.54 X, Y, T ) ) }.
% 0.95/1.54 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.95/1.54 , Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, T,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.95/1.54 , c_Groups_Otimes__class_Otimes( X, T, Y ), c_Groups_Otimes__class_Otimes
% 0.95/1.54 ( X, T, Z ) ) }.
% 0.95/1.54 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.95/1.54 , Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, T,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.95/1.54 , c_Groups_Otimes__class_Otimes( X, Y, T ), c_Groups_Otimes__class_Otimes
% 0.95/1.54 ( X, Z, T ) ) }.
% 0.95/1.54 { ! class_Rings_Oordered__comm__semiring( X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.95/1.54 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes(
% 0.95/1.54 X, T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.95/1.54 { ! class_Rings_Oordered__semiring( X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.95/1.54 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes(
% 0.95/1.54 X, T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.95/1.54 { ! class_Rings_Oordered__semiring( X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.95/1.54 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes(
% 0.95/1.54 X, Z, T ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.95/1.54 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.95/1.54 , Y, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X )
% 0.95/1.54 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.95/1.54 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.95/1.54 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.95/1.54 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.95/1.54 X ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, Y, Z ), c_Groups_Ozero__class_Ozero( X
% 0.95/1.54 ) ) }.
% 0.95/1.54 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.95/1.54 ), ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.95/1.54 , c_Groups_Otimes__class_Otimes( X, Z, Y ), c_Groups_Ozero__class_Ozero(
% 0.95/1.54 X ) ) }.
% 0.95/1.54 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.95/1.54 ), ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.95/1.54 , c_Groups_Otimes__class_Otimes( X, Y, Z ), c_Groups_Ozero__class_Ozero(
% 0.95/1.54 X ) ) }.
% 0.95/1.54 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.95/1.54 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.95/1.54 X ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Y, Z
% 0.95/1.54 ) ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.95/1.54 , Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha17( X, Y, Z ), alpha48( X
% 0.95/1.54 , Y, Z ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha17( X, Y, Z ),
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.95/1.54 , Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha48( X, Y, Z ),
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.95/1.54 , Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.54 { ! alpha48( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.54 { ! alpha48( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.95/1.54 ) ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero
% 0.95/1.54 ( X ), Y ), alpha48( X, Y, Z ) }.
% 0.95/1.54 { ! alpha17( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.95/1.54 { ! alpha17( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.95/1.54 , Z ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ) ), alpha17( X, Y, Z ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, Z, Y ) ), alpha18( X, Y, Z ), alpha49(
% 0.95/1.54 X, Y, Z ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha18( X, Y, Z ),
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha49( X, Y, Z ),
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.95/1.54 { ! alpha49( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.54 { ! alpha49( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.95/1.54 ) ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ) ), alpha49( X, Y, Z ) }.
% 0.95/1.54 { ! alpha18( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.95/1.54 { ! alpha18( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.95/1.54 , Z ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ), Y ), alpha18( X, Y, Z ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__ring( X ), c_Orderings_Oord__class_Oless__eq(
% 0.95/1.54 X, c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Y
% 0.95/1.54 , Y ) ) }.
% 0.95/1.54 { ! c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) =
% 0.95/1.54 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y =
% 0.95/1.54 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.95/1.54 { ! c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) =
% 0.95/1.54 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X =
% 0.95/1.54 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.95/1.54 { ! Y = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! X =
% 0.95/1.54 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.95/1.54 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) =
% 0.95/1.54 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.95/1.54 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ) ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) }.
% 0.95/1.54 { c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, hAPP( Z, Y ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, hAPP( Z, X ), hAPP( Z, Y
% 0.95/1.54 ) ), c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X, Y ) ), Y ) ) =
% 0.95/1.54 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, hAPP( Z, X ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, hAPP( Z, X ), hAPP( Z, Y
% 0.95/1.54 ) ), c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X, Y ) ), X ) ) }
% 0.95/1.54 .
% 0.95/1.54 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, T
% 0.95/1.54 , Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, T
% 0.95/1.54 , Z ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.95/1.54 ), c_Groups_Otimes__class_Otimes( X, T, Y ) ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.95/1.54 ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__semiring( X ), ! c_Orderings_Oord__class_Oless
% 0.95/1.54 ( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, T, Y ) ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.95/1.54 ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.95/1.54 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.95/1.54 ), c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__semiring( X ), ! c_Orderings_Oord__class_Oless
% 0.95/1.54 ( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, Y, Z ) ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.95/1.54 ), c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless( X, U, T ), ! c_Orderings_Oord__class_Oless
% 0.95/1.54 ( X, c_Groups_Ozero__class_Ozero( X ), Z ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), U
% 0.95/1.54 ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.95/1.54 , U ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless( X, Z, Y ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, U, T ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.95/1.54 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.95/1.54 , U ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X
% 0.95/1.54 , Z, U ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.95/1.54 ( X, U, T ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ), Z ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), U
% 0.95/1.54 ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.95/1.54 , U ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.95/1.54 ( X, U, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), U
% 0.95/1.54 ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.95/1.54 , U ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.95/1.54 ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.95/1.54 , Y, T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.95/1.54 ! c_Orderings_Oord__class_Oless__eq( X, Z, T ),
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Y
% 0.95/1.54 , T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.95/1.54 ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.95/1.54 , Y, T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, T, Z ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.95/1.54 ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Y
% 0.95/1.54 , T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 0.95/1.54 X, Y, Y ) ), c_Groups_Ozero__class_Ozero( X ) ), Z =
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 0.95/1.54 X, Y, Y ) ), c_Groups_Ozero__class_Ozero( X ) ), Y =
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__ring__strict( X ), ! Z =
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X )
% 0.95/1.54 , c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 0.95/1.54 X, Y, Y ) ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__ring( X ), c_Orderings_Oord__class_Oless__eq(
% 0.95/1.54 X, c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 0.95/1.54 X, Y, Y ) ) ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.95/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z )
% 0.95/1.54 , c_Groups_Otimes__class_Otimes( X, Y, Y ) ) ), ! Z =
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X )
% 0.95/1.54 }.
% 0.95/1.54 { ! class_Rings_Olinordered__ring__strict( X ), Z =
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless( X,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 0.95/1.54 X, Y, Y ) ) ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__ring__strict( X ), Y =
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless( X,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, Z, Z ), c_Groups_Otimes__class_Otimes(
% 0.95/1.54 X, Y, Y ) ) ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__ring( X ), ! c_Orderings_Oord__class_Oless( X
% 0.95/1.54 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z
% 0.95/1.54 ), c_Groups_Otimes__class_Otimes( X, Y, Y ) ),
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq
% 0.95/1.54 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.95/1.54 ), ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Oone__class_Oone
% 0.95/1.54 ( X ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, Z, Y ), Y ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq
% 0.95/1.54 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.95/1.54 ), ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Oone__class_Oone
% 0.95/1.54 ( X ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, Y, Z ), Y ) }.
% 0.95/1.54 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.95/1.54 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W, U
% 0.95/1.54 ), T ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 0.95/1.54 , Z, U ), Y ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.95/1.54 c_Groups_Ominus__class_Ominus( X, W, Z ), U ), T ), Y ) }.
% 0.95/1.54 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.95/1.54 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.95/1.54 c_Groups_Ominus__class_Ominus( X, W, Z ), U ), T ), Y ),
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, W, U ), T ),
% 0.95/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.95/1.54 , Y ) ) }.
% 0.95/1.54 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.95/1.54 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W, U
% 0.95/1.54 ), T ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 0.95/1.54 , Z, U ), Y ) ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.95/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.95/1.54 c_Groups_Ominus__class_Ominus( X, Z, W ), U ), Y ) ) }.
% 0.95/1.54 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.95/1.54 , T, c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.95/1.54 c_Groups_Ominus__class_Ominus( X, Z, W ), U ), Y ) ),
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, W, U ), T ),
% 0.95/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.95/1.54 , Y ) ) }.
% 0.95/1.54 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.95/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W, U )
% 0.95/1.54 , T ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.95/1.54 Z, U ), Y ) ), c_Orderings_Oord__class_Oless( X, T,
% 0.95/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.95/1.54 c_Groups_Ominus__class_Ominus( X, Z, W ), U ), Y ) ) }.
% 0.95/1.54 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless( X, T
% 0.95/1.54 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.95/1.54 c_Groups_Ominus__class_Ominus( X, Z, W ), U ), Y ) ),
% 0.95/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, W, U ), T ),
% 0.95/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.95/1.54 , Y ) ) }.
% 0.95/1.54 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.95/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W, U )
% 0.95/1.54 , T ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.95/1.54 Z, U ), Y ) ), c_Orderings_Oord__class_Oless( X,
% 0.95/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.95/1.54 c_Groups_Ominus__class_Ominus( X, W, Z ), U ), T ), Y ) }.
% 0.95/1.54 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.95/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.95/1.54 c_Groups_Ominus__class_Ominus( X, W, Z ), U ), T ), Y ),
% 0.95/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, W, U ), T ),
% 0.95/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.95/1.54 , Y ) ) }.
% 0.95/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.95/1.54 Z, Y ) ), alpha50( X, Y, Z, T ) }.
% 0.95/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.95/1.54 Z, Y ) ), alpha66( X, Y, Z, T ) }.
% 0.95/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha50( X, Y, Z
% 0.95/1.54 , T ), ! alpha66( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, T,
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.95/1.54 { ! alpha66( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ), Y ), alpha78( X, Y, Z, T ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.95/1.54 , alpha66( X, Y, Z, T ) }.
% 0.95/1.54 { ! alpha78( X, Y, Z, T ), alpha66( X, Y, Z, T ) }.
% 0.95/1.54 { ! alpha78( X, Y, Z, T ), alpha90( X, Y, Z, T ) }.
% 0.95/1.54 { ! alpha78( X, Y, Z, T ), alpha19( X, Y, T ) }.
% 0.95/1.54 { ! alpha90( X, Y, Z, T ), ! alpha19( X, Y, T ), alpha78( X, Y, Z, T ) }.
% 0.95/1.54 { ! alpha90( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, Z,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.95/1.54 { c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.95/1.54 alpha90( X, Y, Z, T ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Otimes__class_Otimes( X,
% 0.95/1.54 T, Y ) ), alpha90( X, Y, Z, T ) }.
% 0.95/1.54 { ! alpha50( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless( X,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, T, Y ), Z ) }.
% 0.95/1.54 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.95/1.54 alpha50( X, Y, Z, T ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T,
% 0.95/1.54 Y ), Z ), alpha50( X, Y, Z, T ) }.
% 0.95/1.54 { ! alpha19( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, Z,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 0.95/1.54 , alpha19( X, Y, Z ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.95/1.54 , alpha19( X, Y, Z ) }.
% 0.95/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.95/1.54 Z ), Y ), alpha51( X, Y, Z, T ) }.
% 0.95/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.95/1.54 Z ), Y ), alpha67( X, Y, Z, T ) }.
% 0.95/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha51( X, Y, Z
% 0.95/1.54 , T ), ! alpha67( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( X, T, Z ), Y ) }.
% 0.95/1.54 { ! alpha67( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ), Z ), alpha79( X, Y, Z, T ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.95/1.54 , alpha67( X, Y, Z, T ) }.
% 0.95/1.54 { ! alpha79( X, Y, Z, T ), alpha67( X, Y, Z, T ) }.
% 0.95/1.54 { ! alpha79( X, Y, Z, T ), alpha91( X, Y, Z, T ) }.
% 0.95/1.54 { ! alpha79( X, Y, Z, T ), alpha20( X, Y, Z ) }.
% 0.95/1.54 { ! alpha91( X, Y, Z, T ), ! alpha20( X, Y, Z ), alpha79( X, Y, Z, T ) }.
% 0.95/1.54 { ! alpha91( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, Y, Z ), T ) }.
% 0.95/1.54 { c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ),
% 0.95/1.54 alpha91( X, Y, Z, T ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.95/1.54 Z ), T ), alpha91( X, Y, Z, T ) }.
% 0.95/1.54 { ! alpha51( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless( X,
% 0.95/1.54 T, c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.95/1.54 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.95/1.54 alpha51( X, Y, Z, T ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( X, T, c_Groups_Otimes__class_Otimes( X,
% 0.95/1.54 Y, Z ) ), alpha51( X, Y, Z, T ) }.
% 0.95/1.54 { ! alpha20( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.95/1.54 , alpha20( X, Y, Z ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.95/1.54 , alpha20( X, Y, Z ) }.
% 0.95/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.54 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.95/1.54 ( X, T, c_Rings_Oinverse__class_Odivide( X, Z, Y ) ),
% 0.95/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Y
% 0.95/1.54 ), Z ) }.
% 0.95/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.54 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.95/1.54 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ), Z ),
% 0.95/1.54 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.95/1.54 Z, Y ) ) }.
% 0.95/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.54 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.95/1.54 ( X, c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ),
% 0.95/1.54 c_Orderings_Oord__class_Oless( X, T, c_Groups_Otimes__class_Otimes( X, Z
% 0.95/1.54 , Y ) ) }.
% 0.95/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.54 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.95/1.54 ( X, T, c_Groups_Otimes__class_Otimes( X, Z, Y ) ),
% 0.95/1.54 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.95/1.54 Y ), Z ) }.
% 0.95/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.54 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.95/1.54 ( X, T, c_Groups_Otimes__class_Otimes( X, Z, Y ) ),
% 0.95/1.54 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.95/1.54 Y ), Z ) }.
% 0.95/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.54 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.95/1.54 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ), Z ),
% 0.95/1.54 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.95/1.54 Z, Y ) ) }.
% 0.95/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.54 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.95/1.54 ( X, T, c_Rings_Oinverse__class_Odivide( X, Z, Y ) ),
% 0.95/1.54 c_Orderings_Oord__class_Oless( X, Z, c_Groups_Otimes__class_Otimes( X, T
% 0.95/1.54 , Y ) ) }.
% 0.95/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.54 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.95/1.54 ( X, Z, c_Groups_Otimes__class_Otimes( X, T, Y ) ),
% 0.95/1.54 c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.95/1.54 Z, Y ) ) }.
% 0.95/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.54 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.95/1.54 ( X, c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ),
% 0.95/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.95/1.54 ), T ) }.
% 0.95/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.54 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.95/1.54 ( X, c_Groups_Otimes__class_Otimes( X, Z, Y ), T ),
% 0.95/1.54 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.95/1.54 Y ), Z ) }.
% 0.95/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.54 X, Z, Y ), ! c_Orderings_Oord__class_Oless( X,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ), T ), ! c_Orderings_Oord__class_Oless( X
% 0.95/1.54 , c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Y,
% 0.95/1.54 Z ) ), c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide
% 0.95/1.54 ( X, T, Y ), c_Rings_Oinverse__class_Odivide( X, T, Z ) ) }.
% 0.95/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.54 X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, T,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless( X,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.95/1.54 ) ), c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide(
% 0.95/1.54 X, T, Z ), c_Rings_Oinverse__class_Odivide( X, T, Y ) ) }.
% 0.95/1.54 { ! class_Rings_Oring__1( X ), c_Groups_Ominus__class_Ominus( X,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, Y, Y ), c_Groups_Oone__class_Oone( X )
% 0.95/1.54 ) = c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, Y
% 0.95/1.54 , c_Groups_Oone__class_Oone( X ) ), c_Groups_Ominus__class_Ominus( X, Y,
% 0.95/1.54 c_Groups_Oone__class_Oone( X ) ) ) }.
% 0.95/1.54 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( X, U, Y ),
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( X, T, Z ) ) =
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, U, Z ), c_Groups_Otimes__class_Otimes(
% 0.95/1.54 X, T, Y ) ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.95/1.54 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.95/1.54 c_Groups_Oplus__class_Oplus( X, c_Rings_Oinverse__class_Odivide( X, T, Y
% 0.95/1.54 ), Z ) = c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus
% 0.95/1.54 ( X, T, c_Groups_Otimes__class_Otimes( X, Y, Z ) ), Y ) }.
% 0.95/1.54 { ! class_Fields_Ofield__inverse__zero( X ), Y =
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ) =
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, Z, Y ) ), Y ) }.
% 0.95/1.54 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.95/1.54 c_Groups_Oplus__class_Oplus( X, T, c_Rings_Oinverse__class_Odivide( X, Z
% 0.95/1.54 , Y ) ) = c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus
% 0.95/1.54 ( X, c_Groups_Otimes__class_Otimes( X, Y, T ), Z ), Y ) }.
% 0.95/1.54 { ! class_Fields_Ofield__inverse__zero( X ), Y =
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, T,
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, T, Y ) ), Y ) }.
% 0.95/1.54 { ! class_Rings_Oordered__ring__abs( X ), alpha103( X, Z ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.95/1.54 ), c_Groups_Oabs__class_Oabs( X, c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.95/1.54 ) ) = c_Groups_Otimes__class_Otimes( X, c_Groups_Oabs__class_Oabs( X, Z
% 0.95/1.54 ), c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.95/1.54 { ! class_Rings_Oordered__ring__abs( X ), alpha103( X, Z ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.95/1.54 ), c_Groups_Oabs__class_Oabs( X, c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.95/1.54 ) ) = c_Groups_Otimes__class_Otimes( X, c_Groups_Oabs__class_Oabs( X, Z
% 0.95/1.54 ), c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.95/1.54 { ! alpha103( X, Y ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.95/1.54 { ! alpha103( X, Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.54 { c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.95/1.54 ), c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero
% 0.95/1.54 ( X ) ), alpha103( X, Y ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq
% 0.95/1.54 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), c_Groups_Otimes__class_Otimes
% 0.95/1.54 ( X, c_Groups_Oabs__class_Oabs( X, Z ), Y ) = c_Groups_Oabs__class_Oabs(
% 0.95/1.54 X, c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.95/1.54 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), ! T
% 0.95/1.54 = c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of
% 0.95/1.54 ( X, Y ) ), alpha52( X, Y, Z, T ) }.
% 0.95/1.54 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), ! T
% 0.95/1.54 = c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of
% 0.95/1.54 ( X, Y ) ), alpha21( X, Y, T ) }.
% 0.95/1.54 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.95/1.54 alpha52( X, Y, Z, T ), ! alpha21( X, Y, T ), T =
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.95/1.54 X, Y ) ) }.
% 0.95/1.54 { ! alpha52( X, Y, Z, T ), c_Int_Onumber__class_Onumber__of( X, Y ) =
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, T,
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( X, Y ) ) = Z }.
% 0.95/1.54 { ! c_Int_Onumber__class_Onumber__of( X, Y ) = c_Groups_Ozero__class_Ozero
% 0.95/1.54 ( X ), alpha52( X, Y, Z, T ) }.
% 0.95/1.54 { ! c_Groups_Otimes__class_Otimes( X, T, c_Int_Onumber__class_Onumber__of(
% 0.95/1.54 X, Y ) ) = Z, alpha52( X, Y, Z, T ) }.
% 0.95/1.54 { ! alpha21( X, Y, Z ), ! c_Int_Onumber__class_Onumber__of( X, Y ) =
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ) }
% 0.95/1.54 .
% 0.95/1.54 { c_Int_Onumber__class_Onumber__of( X, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.95/1.54 ), alpha21( X, Y, Z ) }.
% 0.95/1.54 { ! Z = c_Groups_Ozero__class_Ozero( X ), alpha21( X, Y, Z ) }.
% 0.95/1.54 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( X, T ) =
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( X, Z, Y ), alpha53( X, Y, Z, T ) }.
% 0.95/1.54 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( X, T ) =
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( X, Z, Y ), alpha22( X, Y, T ) }.
% 0.95/1.54 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.95/1.54 alpha53( X, Y, Z, T ), ! alpha22( X, Y, T ),
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( X, T ) =
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.95/1.54 { ! alpha53( X, Y, Z, T ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.95/1.54 ), Y ) = Z }.
% 0.95/1.54 { ! Y = c_Groups_Ozero__class_Ozero( X ), alpha53( X, Y, Z, T ) }.
% 0.95/1.54 { ! c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X,
% 0.95/1.54 T ), Y ) = Z, alpha53( X, Y, Z, T ) }.
% 0.95/1.54 { ! alpha22( X, Y, Z ), ! Y = c_Groups_Ozero__class_Ozero( X ),
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( X, Z ) = c_Groups_Ozero__class_Ozero( X
% 0.95/1.54 ) }.
% 0.95/1.54 { Y = c_Groups_Ozero__class_Ozero( X ), alpha22( X, Y, Z ) }.
% 0.95/1.54 { ! c_Int_Onumber__class_Onumber__of( X, Z ) = c_Groups_Ozero__class_Ozero
% 0.95/1.54 ( X ), alpha22( X, Y, Z ) }.
% 0.95/1.54 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( X, T, Z ) =
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( X, Y ), alpha54( X, Y, Z, T ) }.
% 0.95/1.54 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( X, T, Z ) =
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( X, Y ), alpha23( X, Y, Z ) }.
% 0.95/1.54 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.95/1.54 alpha54( X, Y, Z, T ), ! alpha23( X, Y, Z ),
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( X, T, Z ) =
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( X, Y ) }.
% 0.95/1.54 { ! alpha54( X, Y, Z, T ), Z = c_Groups_Ozero__class_Ozero( X ), T =
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.95/1.54 ), Z ) }.
% 0.95/1.54 { ! Z = c_Groups_Ozero__class_Ozero( X ), alpha54( X, Y, Z, T ) }.
% 0.95/1.54 { ! T = c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of
% 0.95/1.54 ( X, Y ), Z ), alpha54( X, Y, Z, T ) }.
% 0.95/1.54 { ! alpha23( X, Y, Z ), ! Z = c_Groups_Ozero__class_Ozero( X ),
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( X, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.95/1.54 ) }.
% 0.95/1.54 { Z = c_Groups_Ozero__class_Ozero( X ), alpha23( X, Y, Z ) }.
% 0.95/1.54 { ! c_Int_Onumber__class_Onumber__of( X, Y ) = c_Groups_Ozero__class_Ozero
% 0.95/1.54 ( X ), alpha23( X, Y, Z ) }.
% 0.95/1.54 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 0.95/1.54 X, Z ) ) = Y, alpha55( X, Y, Z, T ) }.
% 0.95/1.54 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 0.95/1.54 X, Z ) ) = Y, alpha24( X, Y, Z ) }.
% 0.95/1.54 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber( X ), !
% 0.95/1.54 alpha55( X, Y, Z, T ), ! alpha24( X, Y, Z ),
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 0.95/1.54 X, Z ) ) = Y }.
% 0.95/1.54 { ! alpha55( X, Y, Z, T ), c_Int_Onumber__class_Onumber__of( X, Z ) =
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ), T = c_Groups_Otimes__class_Otimes( X, Y
% 0.95/1.54 , c_Int_Onumber__class_Onumber__of( X, Z ) ) }.
% 0.95/1.54 { ! c_Int_Onumber__class_Onumber__of( X, Z ) = c_Groups_Ozero__class_Ozero
% 0.95/1.54 ( X ), alpha55( X, Y, Z, T ) }.
% 0.95/1.54 { ! T = c_Groups_Otimes__class_Otimes( X, Y,
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( X, Z ) ), alpha55( X, Y, Z, T ) }.
% 0.95/1.54 { ! alpha24( X, Y, Z ), ! c_Int_Onumber__class_Onumber__of( X, Z ) =
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.95/1.54 .
% 0.95/1.54 { c_Int_Onumber__class_Onumber__of( X, Z ) = c_Groups_Ozero__class_Ozero( X
% 0.95/1.54 ), alpha24( X, Y, Z ) }.
% 0.95/1.54 { ! Y = c_Groups_Ozero__class_Ozero( X ), alpha24( X, Y, Z ) }.
% 0.95/1.54 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.95/1.54 c_Groups_Ominus__class_Ominus( X, T, c_Rings_Oinverse__class_Odivide( X,
% 0.95/1.54 Z, Y ) ) = c_Rings_Oinverse__class_Odivide( X,
% 0.95/1.54 c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X, Y, T
% 0.95/1.54 ), Z ), Y ) }.
% 0.95/1.54 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.95/1.54 c_Groups_Ominus__class_Ominus( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.95/1.54 Y ), Z ) = c_Rings_Oinverse__class_Odivide( X,
% 0.95/1.54 c_Groups_Ominus__class_Ominus( X, T, c_Groups_Otimes__class_Otimes( X, Y
% 0.95/1.54 , Z ) ), Y ) }.
% 0.95/1.54 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ), c_Groups_Ominus__class_Ominus( X,
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( X, U, Y ),
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( X, T, Z ) ) =
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, U, Z ), c_Groups_Otimes__class_Otimes(
% 0.95/1.54 X, T, Y ) ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.95/1.54 { ! class_RealVector_Oreal__field( X ), c_Rings_Oinverse__class_Odivide( X
% 0.95/1.54 , c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X, W,
% 0.95/1.54 U ), c_Groups_Otimes__class_Otimes( X, T, Z ) ), Y ) =
% 0.95/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, W,
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X, U,
% 0.95/1.54 Z ), Y ) ), c_Groups_Otimes__class_Otimes( X,
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X, W,
% 0.95/1.54 T ), Y ), Z ) ) }.
% 0.95/1.54 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X, Y,
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit1( c_Int_OPls ) ) ) = Y }
% 0.95/1.54 .
% 0.95/1.54 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit1( c_Int_OPls ) ), Y ) = Y
% 0.95/1.54 }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) ),
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z, Y ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z, Y ),
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ),
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z, Y ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Z, Y ),
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ) }.
% 0.95/1.54 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.95/1.54 c_Groups_Ouminus__class_Ouminus( X, c_Int_Onumber__class_Onumber__of( X,
% 0.95/1.54 Z ) ), Y ) = c_Groups_Otimes__class_Otimes( X,
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( X, c_Groups_Ouminus__class_Ouminus(
% 0.95/1.54 tc_Int_Oint, Z ) ), Y ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Y ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X,
% 0.95/1.54 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Z ) ) ), Y =
% 0.95/1.54 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__semiring__1( X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, T, Y ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), U
% 0.95/1.54 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.95/1.54 X ), W ), ! c_Groups_Oplus__class_Oplus( X, U, W ) =
% 0.95/1.54 c_Groups_Oone__class_Oone( X ), c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, U, Z )
% 0.95/1.54 , c_Groups_Otimes__class_Otimes( X, W, T ) ), Y ) }.
% 0.95/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, T, c_Rings_Oinverse__class_Odivide
% 0.95/1.54 ( X, Z, Y ) ), alpha56( X, Y, Z, T ) }.
% 0.95/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, T, c_Rings_Oinverse__class_Odivide
% 0.95/1.54 ( X, Z, Y ) ), alpha68( X, Y, Z, T ) }.
% 0.95/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha56( X, Y, Z
% 0.95/1.54 , T ), ! alpha68( X, Y, Z, T ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.95/1.54 { ! alpha68( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ), Y ), alpha80( X, Y, Z, T ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.95/1.54 , alpha68( X, Y, Z, T ) }.
% 0.95/1.54 { ! alpha80( X, Y, Z, T ), alpha68( X, Y, Z, T ) }.
% 0.95/1.54 { ! alpha80( X, Y, Z, T ), alpha92( X, Y, Z, T ) }.
% 0.95/1.54 { ! alpha80( X, Y, Z, T ), alpha25( X, Y, T ) }.
% 0.95/1.54 { ! alpha92( X, Y, Z, T ), ! alpha25( X, Y, T ), alpha80( X, Y, Z, T ) }.
% 0.95/1.54 { ! alpha92( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.95/1.54 , Z, c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.95/1.54 { c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.95/1.54 alpha92( X, Y, Z, T ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Otimes__class_Otimes
% 0.95/1.54 ( X, T, Y ) ), alpha92( X, Y, Z, T ) }.
% 0.95/1.54 { ! alpha56( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless__eq
% 0.95/1.54 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ), Z ) }.
% 0.95/1.54 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.95/1.54 alpha56( X, Y, Z, T ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.95/1.54 , T, Y ), Z ), alpha56( X, Y, Z, T ) }.
% 0.95/1.54 { ! alpha25( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.95/1.54 , Z, c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 0.95/1.54 , alpha25( X, Y, Z ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.95/1.54 ) ), alpha25( X, Y, Z ) }.
% 0.95/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.95/1.54 , T, Z ), Y ), alpha57( X, Y, Z, T ) }.
% 0.95/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.95/1.54 , T, Z ), Y ), alpha69( X, Y, Z, T ) }.
% 0.95/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha57( X, Y, Z
% 0.95/1.54 , T ), ! alpha69( X, Y, Z, T ), c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( X, T, Z ), Y ) }.
% 0.95/1.54 { ! alpha69( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ), Z ), alpha81( X, Y, Z, T ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.95/1.54 , alpha69( X, Y, Z, T ) }.
% 0.95/1.54 { ! alpha81( X, Y, Z, T ), alpha69( X, Y, Z, T ) }.
% 0.95/1.54 { ! alpha81( X, Y, Z, T ), alpha93( X, Y, Z, T ) }.
% 0.95/1.54 { ! alpha81( X, Y, Z, T ), alpha26( X, Y, Z ) }.
% 0.95/1.54 { ! alpha93( X, Y, Z, T ), ! alpha26( X, Y, Z ), alpha81( X, Y, Z, T ) }.
% 0.95/1.54 { ! alpha93( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.95/1.54 , c_Groups_Otimes__class_Otimes( X, Y, Z ), T ) }.
% 0.95/1.54 { c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ),
% 0.95/1.54 alpha93( X, Y, Z, T ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.95/1.54 , Y, Z ), T ), alpha93( X, Y, Z, T ) }.
% 0.95/1.54 { ! alpha57( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless__eq
% 0.95/1.54 ( X, T, c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.95/1.54 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.95/1.54 alpha57( X, Y, Z, T ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Otimes__class_Otimes
% 0.95/1.54 ( X, Y, Z ) ), alpha57( X, Y, Z, T ) }.
% 0.95/1.54 { ! alpha26( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.95/1.54 , c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.95/1.54 , alpha26( X, Y, Z ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.95/1.54 , Y ), alpha26( X, Y, Z ) }.
% 0.95/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.54 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, T, c_Rings_Oinverse__class_Odivide
% 0.95/1.54 ( X, Z, Y ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, T, Y ), Z ) }.
% 0.95/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.54 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, T
% 0.95/1.54 , Y ), Z ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.95/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.54 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.95/1.54 , T, Y ), Z ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.95/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.54 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Otimes__class_Otimes( X
% 0.95/1.54 , Z, Y ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ) }.
% 0.95/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.54 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Otimes__class_Otimes( X
% 0.95/1.54 , Z, Y ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ) }.
% 0.95/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.54 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, T
% 0.95/1.54 , Y ), Z ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.95/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.54 X, Y, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, T, c_Rings_Oinverse__class_Odivide
% 0.95/1.54 ( X, Z, Y ) ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.95/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.54 X, Y, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Otimes__class_Otimes( X
% 0.95/1.54 , T, Y ) ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.95/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.54 X, Y, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.95/1.54 , T, Y ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, Z, Y ), T ) }.
% 0.95/1.54 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.54 X, Y, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.95/1.54 , Y ), T ), c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( X, T, Y ), Z ) }.
% 0.95/1.54 { ! class_Fields_Olinordered__field( X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.95/1.54 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.95/1.54 , c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.95/1.54 , T, Y ), c_Rings_Oinverse__class_Odivide( X, T, Z ) ) }.
% 0.95/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Ozero__class_Ozero( X )
% 0.95/1.54 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.95/1.54 , c_Groups_Otimes__class_Otimes( X, Z, Y ) ),
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.95/1.54 , T, Z ), c_Rings_Oinverse__class_Odivide( X, T, Y ) ) }.
% 0.95/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.95/1.54 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X, T,
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.95/1.54 X, Y ) ) ), alpha58( X, Y, Z, T ) }.
% 0.95/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.95/1.54 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X, T,
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.95/1.54 X, Y ) ) ), alpha70( X, Y, Z, T ) }.
% 0.95/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.95/1.54 class_Int_Onumber( X ), ! alpha58( X, Y, Z, T ), ! alpha70( X, Y, Z, T )
% 0.95/1.54 , c_Orderings_Oord__class_Oless( X, T, c_Rings_Oinverse__class_Odivide( X
% 0.95/1.54 , Z, c_Int_Onumber__class_Onumber__of( X, Y ) ) ) }.
% 0.95/1.54 { ! alpha70( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 0.95/1.54 ) ), alpha82( X, Y, Z, T ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha70( X, Y, Z, T ) }.
% 0.95/1.54 { ! alpha82( X, Y, Z, T ), alpha70( X, Y, Z, T ) }.
% 0.95/1.54 { ! alpha82( X, Y, Z, T ), alpha94( X, Y, Z, T ) }.
% 0.95/1.54 { ! alpha82( X, Y, Z, T ), alpha27( X, Y, T ) }.
% 0.95/1.54 { ! alpha94( X, Y, Z, T ), ! alpha27( X, Y, T ), alpha82( X, Y, Z, T ) }.
% 0.95/1.54 { ! alpha94( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Ozero__class_Ozero( X
% 0.95/1.54 ) ), c_Orderings_Oord__class_Oless( X, Z, c_Groups_Otimes__class_Otimes
% 0.95/1.54 ( X, T, c_Int_Onumber__class_Onumber__of( X, Y ) ) ) }.
% 0.95/1.54 { c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.95/1.54 ), c_Groups_Ozero__class_Ozero( X ) ), alpha94( X, Y, Z, T ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Otimes__class_Otimes( X,
% 0.95/1.54 T, c_Int_Onumber__class_Onumber__of( X, Y ) ) ), alpha94( X, Y, Z, T ) }
% 0.95/1.54 .
% 0.95/1.54 { ! alpha58( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 0.95/1.54 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X
% 0.95/1.54 , T, c_Int_Onumber__class_Onumber__of( X, Y ) ), Z ) }.
% 0.95/1.54 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha58( X, Y, Z, T ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T,
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( X, Y ) ), Z ), alpha58( X, Y, Z, T ) }
% 0.95/1.54 .
% 0.95/1.54 { ! alpha27( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Ozero__class_Ozero( X
% 0.95/1.54 ) ), c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.95/1.54 ) ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X,
% 0.95/1.54 Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha27( X, Y, Z ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.95/1.54 , alpha27( X, Y, Z ) }.
% 0.95/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.95/1.54 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( X, T ), c_Rings_Oinverse__class_Odivide
% 0.95/1.54 ( X, Z, Y ) ), alpha59( X, Y, Z, T ) }.
% 0.95/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.95/1.54 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( X, T ), c_Rings_Oinverse__class_Odivide
% 0.95/1.54 ( X, Z, Y ) ), alpha71( X, Y, Z, T ) }.
% 0.95/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.95/1.54 class_Int_Onumber( X ), ! alpha59( X, Y, Z, T ), ! alpha71( X, Y, Z, T )
% 0.95/1.54 , c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X,
% 0.95/1.54 T ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.95/1.54 { ! alpha71( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ), Y ), alpha83( X, Y, Z, T ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.95/1.54 , alpha71( X, Y, Z, T ) }.
% 0.95/1.54 { ! alpha83( X, Y, Z, T ), alpha71( X, Y, Z, T ) }.
% 0.95/1.54 { ! alpha83( X, Y, Z, T ), alpha95( X, Y, Z, T ) }.
% 0.95/1.54 { ! alpha83( X, Y, Z, T ), alpha28( X, Y, T ) }.
% 0.95/1.54 { ! alpha95( X, Y, Z, T ), ! alpha28( X, Y, T ), alpha83( X, Y, Z, T ) }.
% 0.95/1.54 { ! alpha95( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, Z,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.95/1.54 ), Y ) ) }.
% 0.95/1.54 { c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.95/1.54 alpha95( X, Y, Z, T ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Otimes__class_Otimes( X,
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( X, T ), Y ) ), alpha95( X, Y, Z, T ) }
% 0.95/1.54 .
% 0.95/1.54 { ! alpha59( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless( X,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.95/1.54 ), Y ), Z ) }.
% 0.95/1.54 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.95/1.54 alpha59( X, Y, Z, T ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X,
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( X, T ), Y ), Z ), alpha59( X, Y, Z, T )
% 0.95/1.54 }.
% 0.95/1.54 { ! alpha28( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero( X
% 0.95/1.54 ) ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 0.95/1.54 , alpha28( X, Y, Z ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X,
% 0.95/1.54 Z ), c_Groups_Ozero__class_Ozero( X ) ), alpha28( X, Y, Z ) }.
% 0.95/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.95/1.54 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( X, T, Z ),
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha60( X, Y, Z, T ) }.
% 0.95/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.95/1.54 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( X, T, Z ),
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha72( X, Y, Z, T ) }.
% 0.95/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.95/1.54 class_Int_Onumber( X ), ! alpha60( X, Y, Z, T ), ! alpha72( X, Y, Z, T )
% 0.95/1.54 , c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T
% 0.95/1.54 , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.95/1.54 { ! alpha72( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ), Z ), alpha84( X, Y, Z, T ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.95/1.54 , alpha72( X, Y, Z, T ) }.
% 0.95/1.54 { ! alpha84( X, Y, Z, T ), alpha72( X, Y, Z, T ) }.
% 0.95/1.54 { ! alpha84( X, Y, Z, T ), alpha96( X, Y, Z, T ) }.
% 0.95/1.54 { ! alpha84( X, Y, Z, T ), alpha29( X, Y, Z ) }.
% 0.95/1.54 { ! alpha96( X, Y, Z, T ), ! alpha29( X, Y, Z ), alpha84( X, Y, Z, T ) }.
% 0.95/1.54 { ! alpha96( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.95/1.54 ), Z ), T ) }.
% 0.95/1.54 { c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ),
% 0.95/1.54 alpha96( X, Y, Z, T ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X,
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( X, Y ), Z ), T ), alpha96( X, Y, Z, T )
% 0.95/1.54 }.
% 0.95/1.54 { ! alpha60( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless( X,
% 0.95/1.54 T, c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X
% 0.95/1.54 , Y ), Z ) ) }.
% 0.95/1.54 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.95/1.54 alpha60( X, Y, Z, T ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( X, T, c_Groups_Otimes__class_Otimes( X,
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( X, Y ), Z ) ), alpha60( X, Y, Z, T ) }
% 0.95/1.54 .
% 0.95/1.54 { ! alpha29( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 0.95/1.54 ) ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.95/1.54 , alpha29( X, Y, Z ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha29( X, Y, Z ) }.
% 0.95/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.95/1.54 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 0.95/1.54 X, Z ) ), Y ), alpha61( X, Y, Z, T ) }.
% 0.95/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.95/1.54 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 0.95/1.54 X, Z ) ), Y ), alpha73( X, Y, Z, T ) }.
% 0.95/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.95/1.54 class_Int_Onumber( X ), ! alpha61( X, Y, Z, T ), ! alpha73( X, Y, Z, T )
% 0.95/1.54 , c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, T
% 0.95/1.54 , c_Int_Onumber__class_Onumber__of( X, Z ) ), Y ) }.
% 0.95/1.54 { ! alpha73( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Z
% 0.95/1.54 ) ), alpha85( X, Y, Z, T ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( X, Z ) ), alpha73( X, Y, Z, T ) }.
% 0.95/1.54 { ! alpha85( X, Y, Z, T ), alpha73( X, Y, Z, T ) }.
% 0.95/1.54 { ! alpha85( X, Y, Z, T ), alpha97( X, Y, Z, T ) }.
% 0.95/1.54 { ! alpha85( X, Y, Z, T ), alpha30( X, Y, Z ) }.
% 0.95/1.54 { ! alpha97( X, Y, Z, T ), ! alpha30( X, Y, Z ), alpha85( X, Y, Z, T ) }.
% 0.95/1.54 { ! alpha97( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero( X
% 0.95/1.54 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X
% 0.95/1.54 , Y, c_Int_Onumber__class_Onumber__of( X, Z ) ), T ) }.
% 0.95/1.54 { c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.95/1.54 ), c_Groups_Ozero__class_Ozero( X ) ), alpha97( X, Y, Z, T ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( X, Z ) ), T ), alpha97( X, Y, Z, T ) }
% 0.95/1.54 .
% 0.95/1.54 { ! alpha61( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Z
% 0.95/1.54 ) ), c_Orderings_Oord__class_Oless( X, T, c_Groups_Otimes__class_Otimes
% 0.95/1.54 ( X, Y, c_Int_Onumber__class_Onumber__of( X, Z ) ) ) }.
% 0.95/1.54 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( X, Z ) ), alpha61( X, Y, Z, T ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( X, T, c_Groups_Otimes__class_Otimes( X,
% 0.95/1.54 Y, c_Int_Onumber__class_Onumber__of( X, Z ) ) ), alpha61( X, Y, Z, T ) }
% 0.95/1.54 .
% 0.95/1.54 { ! alpha30( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero( X
% 0.95/1.54 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.95/1.54 , Y ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X,
% 0.95/1.54 Z ), c_Groups_Ozero__class_Ozero( X ) ), alpha30( X, Y, Z ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.95/1.54 , alpha30( X, Y, Z ) }.
% 0.95/1.54 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.95/1.54 c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ),
% 0.95/1.54 c_Groups_Oone__class_Oone( X ) ), c_Int_Onumber__class_Onumber__of( X, Y
% 0.95/1.54 ) ) = c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( Y ) ) }.
% 0.95/1.54 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.54 c_RealVector_Onorm__class_Onorm( X, Z ), c_Groups_Otimes__class_Otimes(
% 0.95/1.54 tc_RealDef_Oreal, Y, c_RealVector_Onorm__class_Onorm( X, T ) ) ), Z =
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.54 { c_Transcendental_Otan( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.95/1.54 c_RealDef_Oreal( tc_Nat_Onat, X ), c_Transcendental_Opi ) ) =
% 0.95/1.54 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.95/1.54 { c_Transcendental_Otan( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, X ),
% 0.95/1.54 c_Transcendental_Opi ) ) ) = c_Transcendental_Otan( Y ) }.
% 0.95/1.54 { c_Transcendental_Otan( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.95/1.54 tc_Nat_Onat, X ), c_Transcendental_Opi ) ) ) = c_Transcendental_Otan( Y )
% 0.95/1.54 }.
% 0.95/1.54 { ! class_Rings_Olinordered__semiring__1__strict( X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.95/1.54 ( X, T, Y ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ), U ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), W
% 0.95/1.54 ), ! c_Groups_Oplus__class_Oplus( X, U, W ) = c_Groups_Oone__class_Oone
% 0.95/1.54 ( X ), c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, U, Z ), c_Groups_Otimes__class_Otimes(
% 0.95/1.54 X, W, T ) ), Y ) }.
% 0.95/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.95/1.54 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X, T,
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.95/1.54 X, Y ) ) ), alpha62( X, Y, Z, T ) }.
% 0.95/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.95/1.54 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X, T,
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.95/1.54 X, Y ) ) ), alpha74( X, Y, Z, T ) }.
% 0.95/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.95/1.54 class_Int_Onumber( X ), ! alpha62( X, Y, Z, T ), ! alpha74( X, Y, Z, T )
% 0.95/1.54 , c_Orderings_Oord__class_Oless__eq( X, T,
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.95/1.54 X, Y ) ) ) }.
% 0.95/1.54 { ! alpha74( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 0.95/1.54 ) ), alpha86( X, Y, Z, T ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha74( X, Y, Z, T ) }.
% 0.95/1.54 { ! alpha86( X, Y, Z, T ), alpha74( X, Y, Z, T ) }.
% 0.95/1.54 { ! alpha86( X, Y, Z, T ), alpha98( X, Y, Z, T ) }.
% 0.95/1.54 { ! alpha86( X, Y, Z, T ), alpha31( X, Y, T ) }.
% 0.95/1.54 { ! alpha98( X, Y, Z, T ), ! alpha31( X, Y, T ), alpha86( X, Y, Z, T ) }.
% 0.95/1.54 { ! alpha98( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Ozero__class_Ozero( X
% 0.95/1.54 ) ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, T, c_Int_Onumber__class_Onumber__of( X
% 0.95/1.54 , Y ) ) ) }.
% 0.95/1.54 { c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.95/1.54 ), c_Groups_Ozero__class_Ozero( X ) ), alpha98( X, Y, Z, T ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Otimes__class_Otimes
% 0.95/1.54 ( X, T, c_Int_Onumber__class_Onumber__of( X, Y ) ) ), alpha98( X, Y, Z, T
% 0.95/1.54 ) }.
% 0.95/1.54 { ! alpha62( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Y
% 0.95/1.54 ) ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes
% 0.95/1.54 ( X, T, c_Int_Onumber__class_Onumber__of( X, Y ) ), Z ) }.
% 0.95/1.54 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha62( X, Y, Z, T ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.95/1.54 , T, c_Int_Onumber__class_Onumber__of( X, Y ) ), Z ), alpha62( X, Y, Z, T
% 0.95/1.54 ) }.
% 0.95/1.54 { ! alpha31( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Ozero__class_Ozero( X
% 0.95/1.54 ) ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X,
% 0.95/1.54 Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha31( X, Y, Z ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.95/1.54 ) ), alpha31( X, Y, Z ) }.
% 0.95/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.95/1.54 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( X, T ), c_Rings_Oinverse__class_Odivide
% 0.95/1.54 ( X, Z, Y ) ), alpha63( X, Y, Z, T ) }.
% 0.95/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.95/1.54 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( X, T ), c_Rings_Oinverse__class_Odivide
% 0.95/1.54 ( X, Z, Y ) ), alpha75( X, Y, Z, T ) }.
% 0.95/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.95/1.54 class_Int_Onumber( X ), ! alpha63( X, Y, Z, T ), ! alpha75( X, Y, Z, T )
% 0.95/1.54 , c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of
% 0.95/1.54 ( X, T ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.95/1.54 { ! alpha75( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ), Y ), alpha87( X, Y, Z, T ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.95/1.54 , alpha75( X, Y, Z, T ) }.
% 0.95/1.54 { ! alpha87( X, Y, Z, T ), alpha75( X, Y, Z, T ) }.
% 0.95/1.54 { ! alpha87( X, Y, Z, T ), alpha99( X, Y, Z, T ) }.
% 0.95/1.54 { ! alpha87( X, Y, Z, T ), alpha32( X, Y, T ) }.
% 0.95/1.54 { ! alpha99( X, Y, Z, T ), ! alpha32( X, Y, T ), alpha87( X, Y, Z, T ) }.
% 0.95/1.54 { ! alpha99( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.95/1.54 , Z, c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of(
% 0.95/1.54 X, T ), Y ) ) }.
% 0.95/1.54 { c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.95/1.54 alpha99( X, Y, Z, T ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Otimes__class_Otimes
% 0.95/1.54 ( X, c_Int_Onumber__class_Onumber__of( X, T ), Y ) ), alpha99( X, Y, Z, T
% 0.95/1.54 ) }.
% 0.95/1.54 { ! alpha63( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless__eq
% 0.95/1.54 ( X, c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of(
% 0.95/1.54 X, T ), Y ), Z ) }.
% 0.95/1.54 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.95/1.54 alpha63( X, Y, Z, T ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.95/1.54 , c_Int_Onumber__class_Onumber__of( X, T ), Y ), Z ), alpha63( X, Y, Z, T
% 0.95/1.54 ) }.
% 0.95/1.54 { ! alpha32( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.95/1.54 , c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero(
% 0.95/1.54 X ) ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 0.95/1.54 , alpha32( X, Y, Z ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of
% 0.95/1.54 ( X, Z ), c_Groups_Ozero__class_Ozero( X ) ), alpha32( X, Y, Z ) }.
% 0.95/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.95/1.54 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( X, T, Z ),
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha64( X, Y, Z, T ) }.
% 0.95/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.95/1.54 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( X, T, Z ),
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha76( X, Y, Z, T ) }.
% 0.95/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.95/1.54 class_Int_Onumber( X ), ! alpha64( X, Y, Z, T ), ! alpha76( X, Y, Z, T )
% 0.95/1.54 , c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide(
% 0.95/1.54 X, T, Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.95/1.54 { ! alpha76( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ), Z ), alpha88( X, Y, Z, T ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.95/1.54 , alpha76( X, Y, Z, T ) }.
% 0.95/1.54 { ! alpha88( X, Y, Z, T ), alpha76( X, Y, Z, T ) }.
% 0.95/1.54 { ! alpha88( X, Y, Z, T ), alpha100( X, Y, Z, T ) }.
% 0.95/1.54 { ! alpha88( X, Y, Z, T ), alpha33( X, Y, Z ) }.
% 0.95/1.54 { ! alpha100( X, Y, Z, T ), ! alpha33( X, Y, Z ), alpha88( X, Y, Z, T ) }.
% 0.95/1.54 { ! alpha100( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.95/1.54 , c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X,
% 0.95/1.54 Y ), Z ), T ) }.
% 0.95/1.54 { c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) ),
% 0.95/1.54 alpha100( X, Y, Z, T ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.95/1.54 , c_Int_Onumber__class_Onumber__of( X, Y ), Z ), T ), alpha100( X, Y, Z,
% 0.95/1.54 T ) }.
% 0.95/1.54 { ! alpha64( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless__eq
% 0.95/1.54 ( X, T, c_Groups_Otimes__class_Otimes( X,
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( X, Y ), Z ) ) }.
% 0.95/1.54 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.95/1.54 alpha64( X, Y, Z, T ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Otimes__class_Otimes
% 0.95/1.54 ( X, c_Int_Onumber__class_Onumber__of( X, Y ), Z ) ), alpha64( X, Y, Z, T
% 0.95/1.54 ) }.
% 0.95/1.54 { ! alpha33( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.95/1.54 , c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.95/1.54 Y ) ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.95/1.54 , alpha33( X, Y, Z ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.95/1.54 , c_Int_Onumber__class_Onumber__of( X, Y ) ), alpha33( X, Y, Z ) }.
% 0.95/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.95/1.54 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 0.95/1.54 X, Z ) ), Y ), alpha65( X, Y, Z, T ) }.
% 0.95/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.95/1.54 class_Int_Onumber( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( X, T, c_Int_Onumber__class_Onumber__of(
% 0.95/1.54 X, Z ) ), Y ), alpha77( X, Y, Z, T ) }.
% 0.95/1.54 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.95/1.54 class_Int_Onumber( X ), ! alpha65( X, Y, Z, T ), ! alpha77( X, Y, Z, T )
% 0.95/1.54 , c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide(
% 0.95/1.54 X, T, c_Int_Onumber__class_Onumber__of( X, Z ) ), Y ) }.
% 0.95/1.54 { ! alpha77( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Z
% 0.95/1.54 ) ), alpha89( X, Y, Z, T ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( X, Z ) ), alpha77( X, Y, Z, T ) }.
% 0.95/1.54 { ! alpha89( X, Y, Z, T ), alpha77( X, Y, Z, T ) }.
% 0.95/1.54 { ! alpha89( X, Y, Z, T ), alpha101( X, Y, Z, T ) }.
% 0.95/1.54 { ! alpha89( X, Y, Z, T ), alpha34( X, Y, Z ) }.
% 0.95/1.54 { ! alpha101( X, Y, Z, T ), ! alpha34( X, Y, Z ), alpha89( X, Y, Z, T ) }.
% 0.95/1.54 { ! alpha101( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero( X
% 0.95/1.54 ) ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes
% 0.95/1.54 ( X, Y, c_Int_Onumber__class_Onumber__of( X, Z ) ), T ) }.
% 0.95/1.54 { c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.95/1.54 ), c_Groups_Ozero__class_Ozero( X ) ), alpha101( X, Y, Z, T ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X
% 0.95/1.54 , Y, c_Int_Onumber__class_Onumber__of( X, Z ) ), T ), alpha101( X, Y, Z,
% 0.95/1.54 T ) }.
% 0.95/1.54 { ! alpha65( X, Y, Z, T ), ! c_Orderings_Oord__class_Oless( X,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of( X, Z
% 0.95/1.54 ) ), c_Orderings_Oord__class_Oless__eq( X, T,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, Y, c_Int_Onumber__class_Onumber__of( X
% 0.95/1.54 , Z ) ) ) }.
% 0.95/1.54 { c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( X, Z ) ), alpha65( X, Y, Z, T ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Otimes__class_Otimes
% 0.95/1.54 ( X, Y, c_Int_Onumber__class_Onumber__of( X, Z ) ) ), alpha65( X, Y, Z, T
% 0.95/1.54 ) }.
% 0.95/1.54 { ! alpha34( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( X, Z ), c_Groups_Ozero__class_Ozero( X
% 0.95/1.54 ) ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.95/1.54 X ), Y ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X,
% 0.95/1.54 Z ), c_Groups_Ozero__class_Ozero( X ) ), alpha34( X, Y, Z ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.95/1.54 , Y ), alpha34( X, Y, Z ) }.
% 0.95/1.54 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X, Y,
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.95/1.54 ) ) ) ) = c_Groups_Oplus__class_Oplus( X, Y, Y ) }.
% 0.95/1.54 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.95/1.54 ) ) ), Y ) = c_Groups_Oplus__class_Oplus( X, Y, Y ) }.
% 0.95/1.54 { ! Z = c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.95/1.54 c_Int_OBit1( c_Int_OPls ) ) ), X ) ), c_Groups_Otimes__class_Otimes(
% 0.95/1.54 tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 0.95/1.54 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ), Z ) =
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) }.
% 0.95/1.54 { ! c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.95/1.54 c_Int_OBit1( c_Int_OPls ) ) ), Z ) = c_Rings_Oinverse__class_Odivide(
% 0.95/1.54 tc_RealDef_Oreal, Y, X ), Z = c_Rings_Oinverse__class_Odivide(
% 0.95/1.54 tc_RealDef_Oreal, Y, c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.95/1.54 c_Int_OBit1( c_Int_OPls ) ) ), X ) ) }.
% 0.95/1.54 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.95/1.54 c_Int_OBit1( c_Int_OPls ) ) ), c_Transcendental_Opi ) ),
% 0.95/1.54 c_Transcendental_Opi ) }.
% 0.95/1.54 { c_Transcendental_Otan( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, X,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.95/1.54 c_Int_OBit1( c_Int_OPls ) ) ), c_Transcendental_Opi ) ) ) =
% 0.95/1.54 c_Transcendental_Otan( X ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ),
% 0.95/1.54 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Y ),
% 0.95/1.54 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.95/1.54 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Transcendental_Oarctan(
% 0.95/1.54 X ), c_Transcendental_Oarctan( Y ) ) = c_Transcendental_Oarctan(
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, X, Y ),
% 0.95/1.54 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) ) ) ) }.
% 0.95/1.54 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.95/1.54 c_Transcendental_Oarctan( c_Rings_Oinverse__class_Odivide(
% 0.95/1.54 tc_RealDef_Oreal, c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ) ) =
% 0.95/1.54 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Osgn__class_Osgn( tc_RealDef_Oreal, X ), c_Transcendental_Opi )
% 0.95/1.54 , c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.95/1.54 c_Int_OBit1( c_Int_OPls ) ) ) ), c_Transcendental_Oarctan( X ) ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.95/1.54 tc_Nat_Onat, Y ), X ), ! c_Orderings_Oord__class_Oless__eq(
% 0.95/1.54 tc_RealDef_Oreal, X, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.95/1.54 c_RealDef_Oreal( tc_Nat_Onat, Y ), c_Groups_Oone__class_Oone(
% 0.95/1.54 tc_RealDef_Oreal ) ) ), c_RComplete_Onatceiling( X ) =
% 0.95/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, c_Groups_Oone__class_Oone(
% 0.95/1.54 tc_Nat_Onat ) ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_Transcendental_Opi,
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.95/1.54 c_Int_OBit1( c_Int_OPls ) ) ) ) ), X ), ! c_Orderings_Oord__class_Oless(
% 0.95/1.54 tc_RealDef_Oreal, X, c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.95/1.54 c_Transcendental_Opi, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal
% 0.95/1.54 , c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ),
% 0.95/1.54 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_Transcendental_Ocos( X
% 0.95/1.54 ) ) }.
% 0.95/1.54 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) = c_Nat_OSuc(
% 0.95/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), Y = c_Nat_OSuc(
% 0.95/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.95/1.54 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) = c_Nat_OSuc(
% 0.95/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X = c_Nat_OSuc(
% 0.95/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.95/1.54 { ! Y = c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), ! X =
% 0.95/1.54 c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) = c_Nat_OSuc(
% 0.95/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.95/1.54 ( tc_Nat_Onat ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ),
% 0.95/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.95/1.54 tc_Nat_Onat ), Y ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.95/1.54 ( tc_Nat_Onat ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ),
% 0.95/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.95/1.54 tc_Nat_Onat ), X ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.95/1.54 ( tc_Nat_Onat ), Y ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ),
% 0.95/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.95/1.54 tc_Nat_Onat ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ),
% 0.95/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.95/1.54 tc_Nat_Onat ), Z ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ),
% 0.95/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.95/1.54 ( tc_Nat_Onat ), Z ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X
% 0.95/1.54 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ),
% 0.95/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.95/1.54 tc_Nat_Onat ), Y ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ),
% 0.95/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, X ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.95/1.54 ( tc_Nat_Onat ), Y ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, X
% 0.95/1.54 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.95/1.54 tc_Nat_Onat ), Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, Z ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ) ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.95/1.54 tc_Nat_Onat ), Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), Y ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), X ) ),
% 0.95/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.95/1.54 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Otimes__class_Otimes
% 0.95/1.54 ( tc_Nat_Onat, c_Nat_OSuc( Z ), Y ), c_Groups_Otimes__class_Otimes(
% 0.95/1.54 tc_Nat_Onat, c_Nat_OSuc( Z ), X ) ) }.
% 0.95/1.54 { c_Groups_Otimes__class_Otimes( tc_Int_Oint,
% 0.95/1.54 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y ), X ) =
% 0.95/1.54 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 0.95/1.54 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z,
% 0.95/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) =
% 0.95/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes(
% 0.95/1.54 tc_Nat_Onat, Z, Y ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) )
% 0.95/1.54 }.
% 0.95/1.54 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.95/1.54 tc_Nat_Onat, Z, Y ), X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.95/1.54 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.95/1.54 ( tc_Nat_Onat, Z, Y ), X ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.95/1.54 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z,
% 0.95/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) =
% 0.95/1.54 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Otimes__class_Otimes
% 0.95/1.54 ( tc_Nat_Onat, Z, Y ), c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X )
% 0.95/1.54 ) }.
% 0.95/1.54 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Int_OPls, X ) = c_Int_OPls
% 0.95/1.54 }.
% 0.95/1.54 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), Y ) =
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), X ), Y = X }
% 0.95/1.54 .
% 0.95/1.54 { ! Y = X, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), Y )
% 0.95/1.54 = c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), X ) }.
% 0.95/1.54 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Int_OBit0( Y ), X ) =
% 0.95/1.54 c_Int_OBit0( c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, Z ),
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, T ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ) ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, Z ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Z ) ) }.
% 0.95/1.54 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, X ) ) ) }.
% 0.95/1.54 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, X ) ) }.
% 0.95/1.54 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Groups_Oone__class_Oone(
% 0.95/1.54 tc_Int_Oint ), X ) = X }.
% 0.95/1.54 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, X, c_Groups_Oone__class_Oone
% 0.95/1.54 ( tc_Int_Oint ) ) = X }.
% 0.95/1.54 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z,
% 0.95/1.54 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) =
% 0.95/1.54 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Otimes__class_Otimes(
% 0.95/1.54 tc_Int_Oint, Z, Y ), c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, X ) )
% 0.95/1.54 }.
% 0.95/1.54 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.95/1.54 tc_Int_Oint, Z, Y ), X ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, X ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 0.95/1.54 { c_Groups_Otimes__class_Otimes( tc_Int_Oint,
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) =
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( tc_Int_Oint,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 0.95/1.54 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.95/1.54 c_Groups_Oone__class_Oone( tc_Nat_Onat ), Y = c_Groups_Oone__class_Oone(
% 0.95/1.54 tc_Nat_Onat ) }.
% 0.95/1.54 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.95/1.54 c_Groups_Oone__class_Oone( tc_Nat_Onat ), X = c_Groups_Oone__class_Oone(
% 0.95/1.54 tc_Nat_Onat ) }.
% 0.95/1.54 { ! Y = c_Groups_Oone__class_Oone( tc_Nat_Onat ), ! X =
% 0.95/1.54 c_Groups_Oone__class_Oone( tc_Nat_Onat ), c_Groups_Otimes__class_Otimes(
% 0.95/1.54 tc_Nat_Onat, Y, X ) = c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.95/1.54 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, c_Groups_Oone__class_Oone
% 0.95/1.54 ( tc_Nat_Onat ) ) = X }.
% 0.95/1.54 { ! c_Groups_Oone__class_Oone( tc_Nat_Onat ) =
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ), Y =
% 0.95/1.54 c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.95/1.54 { ! c_Groups_Oone__class_Oone( tc_Nat_Onat ) =
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ), X =
% 0.95/1.54 c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.95/1.54 { ! Y = c_Groups_Oone__class_Oone( tc_Nat_Onat ), ! X =
% 0.95/1.54 c_Groups_Oone__class_Oone( tc_Nat_Onat ), c_Groups_Oone__class_Oone(
% 0.95/1.54 tc_Nat_Onat ) = c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) }.
% 0.95/1.54 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Oone__class_Oone(
% 0.95/1.54 tc_Nat_Onat ), X ) = X }.
% 0.95/1.54 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Groups_Ominus__class_Ominus
% 0.95/1.54 ( tc_Int_Oint, Z, Y ), X ) = c_Groups_Ominus__class_Ominus( tc_Int_Oint,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, X ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 0.95/1.54 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z,
% 0.95/1.54 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X ) ) =
% 0.95/1.54 c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Groups_Otimes__class_Otimes
% 0.95/1.54 ( tc_Int_Oint, Z, Y ), c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, X )
% 0.95/1.54 ) }.
% 0.95/1.54 { ! class_Rings_Ocomm__semiring__0( X ), c_Groups_Otimes__class_Otimes(
% 0.95/1.54 tc_Polynomial_Opoly( X ), c_Groups_Oplus__class_Oplus(
% 0.95/1.54 tc_Polynomial_Opoly( X ), T, Z ), Y ) = c_Groups_Oplus__class_Oplus(
% 0.95/1.54 tc_Polynomial_Opoly( X ), c_Groups_Otimes__class_Otimes(
% 0.95/1.54 tc_Polynomial_Opoly( X ), T, Y ), c_Groups_Otimes__class_Otimes(
% 0.95/1.54 tc_Polynomial_Opoly( X ), Z, Y ) ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__idom( X ), c_Groups_Osgn__class_Osgn( X,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, c_Groups_Osgn__class_Osgn( X, Z ),
% 0.95/1.54 c_Groups_Osgn__class_Osgn( X, Y ) ) }.
% 0.95/1.54 { ! class_RealVector_Oreal__normed__div__algebra( X ),
% 0.95/1.54 c_Groups_Osgn__class_Osgn( X, c_Groups_Otimes__class_Otimes( X, Z, Y ) )
% 0.95/1.54 = c_Groups_Otimes__class_Otimes( X, c_Groups_Osgn__class_Osgn( X, Z ),
% 0.95/1.54 c_Groups_Osgn__class_Osgn( X, Y ) ) }.
% 0.95/1.54 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) =
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Int_Oint, X, Y ) }.
% 0.95/1.54 { c_Groups_Otimes__class_Otimes( tc_Int_Oint, c_Groups_Otimes__class_Otimes
% 0.95/1.54 ( tc_Int_Oint, Z, Y ), X ) = c_Groups_Otimes__class_Otimes( tc_Int_Oint,
% 0.95/1.54 Z, c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, c_Int_OPls ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Z ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ), X ) ) =
% 0.95/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.54 { c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, c_Int_OPls ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Z ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ), X ) ) =
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ) ), X ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) =
% 0.95/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.54 { c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) =
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Y, X ) ) }.
% 0.95/1.54 { ! class_Rings_Ocomm__semiring__0( X ), c_Groups_Otimes__class_Otimes(
% 0.95/1.54 tc_Polynomial_Opoly( X ), c_Groups_Ozero__class_Ozero(
% 0.95/1.54 tc_Polynomial_Opoly( X ) ), Y ) = c_Groups_Ozero__class_Ozero(
% 0.95/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.54 { ! class_Rings_Ocomm__semiring__0( X ), c_Groups_Otimes__class_Otimes(
% 0.95/1.54 tc_Polynomial_Opoly( X ), Y, c_Groups_Ozero__class_Ozero(
% 0.95/1.54 tc_Polynomial_Opoly( X ) ) ) = c_Groups_Ozero__class_Ozero(
% 0.95/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.54 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.95/1.54 tc_Nat_Onat ), X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.54 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) =
% 0.95/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.54 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.95/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y =
% 0.95/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X =
% 0.95/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.54 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.95/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.54 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) =
% 0.95/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.54 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ), Y = X, Z =
% 0.95/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.54 { ! Y = X, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) }.
% 0.95/1.54 { ! Z = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, X ) }.
% 0.95/1.54 { ! c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ), Z = X, Y =
% 0.95/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.54 { ! Z = X, c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) }.
% 0.95/1.54 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Z, Y ) =
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, X, Y ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ),
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Otimes__class_Otimes
% 0.95/1.54 ( tc_Int_Oint, X, Y ) ) }.
% 0.95/1.54 { ! c_Transcendental_Ocos( c_Transcendental_Oarctan( X ) ) =
% 0.95/1.54 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.95/1.54 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) =
% 0.95/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.95/1.54 { c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) =
% 0.95/1.54 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ) ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.95/1.54 tc_Int_Oint ), Z ), c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, X ) ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), Y ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), X ) ),
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), Y ),
% 0.95/1.54 c_Groups_Otimes__class_Otimes( tc_Nat_Onat, c_Nat_OSuc( Z ), X ) ) }.
% 0.95/1.54 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.54 c_Transcendental_Ocos( X ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal )
% 0.95/1.54 ) }.
% 0.95/1.54 { ! class_RealVector_Oreal__normed__vector( X ), c_Groups_Osgn__class_Osgn
% 0.95/1.54 ( X, c_Groups_Ozero__class_Ozero( X ) ) = c_Groups_Ozero__class_Ozero( X
% 0.95/1.54 ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__idom( X ), ! c_Groups_Osgn__class_Osgn( X, Y )
% 0.95/1.54 = c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.95/1.54 }.
% 0.95/1.54 { ! class_Rings_Olinordered__idom( X ), ! Y = c_Groups_Ozero__class_Ozero(
% 0.95/1.54 X ), c_Groups_Osgn__class_Osgn( X, Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.95/1.54 }.
% 0.95/1.54 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.95/1.54 c_Groups_Osgn__class_Osgn( X, Y ) = c_Groups_Ozero__class_Ozero( X ), Y =
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.54 { ! class_RealVector_Oreal__normed__vector( X ), ! Y =
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ), c_Groups_Osgn__class_Osgn( X, Y ) =
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.54 { ! class_Groups_Osgn__if( X ), c_Groups_Osgn__class_Osgn( X,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( X ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__idom( X ), c_Groups_Osgn__class_Osgn( X,
% 0.95/1.54 c_Groups_Osgn__class_Osgn( X, Y ) ) = c_Groups_Osgn__class_Osgn( X, Y ) }
% 0.95/1.54 .
% 0.95/1.54 { c_RComplete_Onatceiling( c_RealDef_Oreal( tc_Nat_Onat, X ) ) = X }.
% 0.95/1.54 { ! class_RealVector_Oreal__normed__algebra__1( X ),
% 0.95/1.54 c_Groups_Osgn__class_Osgn( X, c_Groups_Oone__class_Oone( X ) ) =
% 0.95/1.54 c_Groups_Oone__class_Oone( X ) }.
% 0.95/1.54 { c_Transcendental_Ocos( c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) )
% 0.95/1.54 = c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.95/1.54 { c_Transcendental_Ocos( c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal
% 0.95/1.54 , X ) ) = c_Transcendental_Ocos( X ) }.
% 0.95/1.54 { ! class_RealVector_Oreal__normed__vector( X ), c_Groups_Osgn__class_Osgn
% 0.95/1.54 ( X, c_Groups_Ouminus__class_Ouminus( X, Y ) ) =
% 0.95/1.54 c_Groups_Ouminus__class_Ouminus( X, c_Groups_Osgn__class_Osgn( X, Y ) ) }
% 0.95/1.54 .
% 0.95/1.54 { ! Y = c_Groups_Otimes__class_Otimes( tc_Nat_Onat, Y, X ), X =
% 0.95/1.54 c_Groups_Oone__class_Oone( tc_Nat_Onat ), Y = c_Groups_Ozero__class_Ozero
% 0.95/1.54 ( tc_Nat_Onat ) }.
% 0.95/1.54 { c_RealDef_Oreal( tc_Nat_Onat, c_Groups_Otimes__class_Otimes( tc_Nat_Onat
% 0.95/1.54 , Y, X ) ) = c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.95/1.54 c_RealDef_Oreal( tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ) }
% 0.95/1.54 .
% 0.95/1.54 { ! c_Groups_Oabs__class_Oabs( tc_Int_Oint, c_Groups_Otimes__class_Otimes(
% 0.95/1.54 tc_Int_Oint, X, Y ) ) = c_Groups_Oone__class_Oone( tc_Int_Oint ),
% 0.95/1.54 c_Groups_Oabs__class_Oabs( tc_Int_Oint, X ) = c_Groups_Oone__class_Oone(
% 0.95/1.54 tc_Int_Oint ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.95/1.54 , c_Groups_Ozero__class_Ozero( X ), c_Groups_Osgn__class_Osgn( X, Y ) ),
% 0.95/1.54 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ) }
% 0.95/1.54 .
% 0.95/1.54 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.95/1.54 , c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless( X
% 0.95/1.54 , c_Groups_Ozero__class_Ozero( X ), c_Groups_Osgn__class_Osgn( X, Y ) ) }
% 0.95/1.54 .
% 0.95/1.54 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.95/1.54 , c_Groups_Osgn__class_Osgn( X, Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 0.95/1.54 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ) }
% 0.95/1.54 .
% 0.95/1.54 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.95/1.54 , Y, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 0.95/1.54 , c_Groups_Osgn__class_Osgn( X, Y ), c_Groups_Ozero__class_Ozero( X ) ) }
% 0.95/1.54 .
% 0.95/1.54 { c_Groups_Osgn__class_Osgn( tc_RealDef_Oreal, X ) =
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X,
% 0.95/1.54 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__idom( X ), c_Groups_Otimes__class_Otimes( X,
% 0.95/1.54 c_Groups_Osgn__class_Osgn( X, Y ), c_Groups_Oabs__class_Oabs( X, Y ) ) =
% 0.95/1.54 Y }.
% 0.95/1.54 { ! class_Rings_Olinordered__idom( X ), c_Groups_Oabs__class_Oabs( X, Y ) =
% 0.95/1.54 c_Groups_Otimes__class_Otimes( X, Y, c_Groups_Osgn__class_Osgn( X, Y ) )
% 0.95/1.54 }.
% 0.95/1.54 { c_RComplete_Onatceiling( c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal )
% 0.95/1.54 ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.95/1.54 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_RComplete_Onatceiling( X )
% 0.95/1.54 ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_RComplete_Onatceiling(
% 0.95/1.54 Y ), c_RComplete_Onatceiling( X ) ) }.
% 0.95/1.54 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, c_RealDef_Oreal(
% 0.95/1.54 tc_Nat_Onat, c_RComplete_Onatceiling( X ) ) ) }.
% 0.95/1.54 { c_RComplete_Onatceiling( c_Int_Onumber__class_Onumber__of(
% 0.95/1.54 tc_RealDef_Oreal, X ) ) = c_Int_Onumber__class_Onumber__of( tc_Nat_Onat,
% 0.95/1.54 X ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, Y ), !
% 0.95/1.54 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y,
% 0.95/1.54 c_Transcendental_Opi ), c_Orderings_Oord__class_Oless__eq(
% 0.95/1.54 tc_RealDef_Oreal, c_Transcendental_Ocos( Y ), c_Transcendental_Ocos( X )
% 0.95/1.54 ) }.
% 0.95/1.54 { ! class_Groups_Ocancel__comm__monoid__add( X ),
% 0.95/1.54 class_Groups_Ocancel__comm__monoid__add( tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.54 { class_Groups_Ocancel__comm__monoid__add( tc_Complex_Ocomplex ) }.
% 0.95/1.54 { class_Groups_Ocancel__comm__monoid__add( tc_RealDef_Oreal ) }.
% 0.95/1.54 { class_Groups_Ocancel__comm__monoid__add( tc_Nat_Onat ) }.
% 0.95/1.54 { class_Groups_Ocancel__comm__monoid__add( tc_Int_Oint ) }.
% 0.95/1.54 { class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(
% 0.95/1.54 tc_Int_Oint ) }.
% 0.95/1.54 { class_Groups_Oordered__cancel__ab__semigroup__add( tc_Int_Oint ) }.
% 0.95/1.54 { class_Groups_Oordered__ab__semigroup__add__imp__le( tc_Int_Oint ) }.
% 0.95/1.54 { class_Rings_Olinordered__comm__semiring__strict( tc_Int_Oint ) }.
% 0.95/1.54 { class_Rings_Olinordered__semiring__1__strict( tc_Int_Oint ) }.
% 0.95/1.54 { class_Rings_Olinordered__semiring__strict( tc_Int_Oint ) }.
% 0.95/1.54 { class_Groups_Oordered__ab__semigroup__add( tc_Int_Oint ) }.
% 0.95/1.54 { class_Groups_Oordered__ab__group__add__abs( tc_Int_Oint ) }.
% 0.95/1.54 { class_Groups_Oordered__comm__monoid__add( tc_Int_Oint ) }.
% 0.95/1.54 { class_Groups_Olinordered__ab__group__add( tc_Int_Oint ) }.
% 0.95/1.54 { class_Groups_Ocancel__ab__semigroup__add( tc_Int_Oint ) }.
% 0.95/1.54 { class_Rings_Oring__1__no__zero__divisors( tc_Int_Oint ) }.
% 0.95/1.54 { class_Rings_Oordered__cancel__semiring( tc_Int_Oint ) }.
% 0.95/1.54 { class_Rings_Olinordered__ring__strict( tc_Int_Oint ) }.
% 0.95/1.54 { class_Rings_Oring__no__zero__divisors( tc_Int_Oint ) }.
% 0.95/1.54 { class_Rings_Oordered__comm__semiring( tc_Int_Oint ) }.
% 0.95/1.54 { class_Rings_Olinordered__semiring__1( tc_Int_Oint ) }.
% 0.95/1.54 { class_Groups_Oordered__ab__group__add( tc_Int_Oint ) }.
% 0.95/1.54 { class_Groups_Ocancel__semigroup__add( tc_Int_Oint ) }.
% 0.95/1.54 { class_Rings_Olinordered__semiring( tc_Int_Oint ) }.
% 0.95/1.54 { class_Rings_Olinordered__semidom( tc_Int_Oint ) }.
% 0.95/1.54 { class_Groups_Oab__semigroup__mult( tc_Int_Oint ) }.
% 0.95/1.54 { class_Groups_Ocomm__monoid__mult( tc_Int_Oint ) }.
% 0.95/1.54 { class_Groups_Oab__semigroup__add( tc_Int_Oint ) }.
% 0.95/1.54 { class_Rings_Oordered__semiring( tc_Int_Oint ) }.
% 0.95/1.54 { class_Rings_Oordered__ring__abs( tc_Int_Oint ) }.
% 0.95/1.54 { class_Rings_Ono__zero__divisors( tc_Int_Oint ) }.
% 0.95/1.54 { class_Groups_Ocomm__monoid__add( tc_Int_Oint ) }.
% 0.95/1.54 { class_Rings_Olinordered__ring( tc_Int_Oint ) }.
% 0.95/1.54 { class_Rings_Olinordered__idom( tc_Int_Oint ) }.
% 0.95/1.54 { class_Rings_Ocomm__semiring__1( tc_Int_Oint ) }.
% 0.95/1.54 { class_Rings_Ocomm__semiring__0( tc_Int_Oint ) }.
% 0.95/1.54 { class_Rings_Ocomm__semiring( tc_Int_Oint ) }.
% 0.95/1.54 { class_Groups_Oab__group__add( tc_Int_Oint ) }.
% 0.95/1.54 { class_Rings_Ozero__neq__one( tc_Int_Oint ) }.
% 0.95/1.54 { class_Rings_Oordered__ring( tc_Int_Oint ) }.
% 0.95/1.54 { class_Orderings_Olinorder( tc_Int_Oint ) }.
% 0.95/1.54 { class_Groups_Omonoid__mult( tc_Int_Oint ) }.
% 0.95/1.54 { class_Rings_Ocomm__ring__1( tc_Int_Oint ) }.
% 0.95/1.54 { class_Groups_Omonoid__add( tc_Int_Oint ) }.
% 0.95/1.54 { class_Rings_Osemiring__1( tc_Int_Oint ) }.
% 0.95/1.54 { class_Groups_Ogroup__add( tc_Int_Oint ) }.
% 0.95/1.54 { class_Rings_Omult__zero( tc_Int_Oint ) }.
% 0.95/1.54 { class_Rings_Ocomm__ring( tc_Int_Oint ) }.
% 0.95/1.54 { class_Int_Oring__char__0( tc_Int_Oint ) }.
% 0.95/1.54 { class_Int_Onumber__ring( tc_Int_Oint ) }.
% 0.95/1.54 { class_Rings_Osemiring( tc_Int_Oint ) }.
% 0.95/1.54 { class_Groups_Osgn__if( tc_Int_Oint ) }.
% 0.95/1.54 { class_Groups_Oabs__if( tc_Int_Oint ) }.
% 0.95/1.54 { class_Rings_Oring__1( tc_Int_Oint ) }.
% 0.95/1.54 { class_Groups_Ozero( tc_Int_Oint ) }.
% 0.95/1.54 { class_Rings_Oring( tc_Int_Oint ) }.
% 0.95/1.54 { class_Rings_Oidom( tc_Int_Oint ) }.
% 0.95/1.54 { class_Int_Onumber( tc_Int_Oint ) }.
% 0.95/1.54 { class_Groups_Oone( tc_Int_Oint ) }.
% 0.95/1.54 { class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(
% 0.95/1.54 tc_Nat_Onat ) }.
% 0.95/1.54 { class_Groups_Oordered__cancel__ab__semigroup__add( tc_Nat_Onat ) }.
% 0.95/1.54 { class_Groups_Oordered__ab__semigroup__add__imp__le( tc_Nat_Onat ) }.
% 0.95/1.54 { class_Rings_Olinordered__comm__semiring__strict( tc_Nat_Onat ) }.
% 0.95/1.54 { class_Rings_Olinordered__semiring__strict( tc_Nat_Onat ) }.
% 0.95/1.54 { class_Groups_Oordered__ab__semigroup__add( tc_Nat_Onat ) }.
% 0.95/1.54 { class_Groups_Oordered__comm__monoid__add( tc_Nat_Onat ) }.
% 0.95/1.54 { class_Groups_Ocancel__ab__semigroup__add( tc_Nat_Onat ) }.
% 0.95/1.54 { class_Rings_Oordered__cancel__semiring( tc_Nat_Onat ) }.
% 0.95/1.54 { class_Rings_Oordered__comm__semiring( tc_Nat_Onat ) }.
% 0.95/1.54 { class_Groups_Ocancel__semigroup__add( tc_Nat_Onat ) }.
% 0.95/1.54 { class_Rings_Olinordered__semiring( tc_Nat_Onat ) }.
% 0.95/1.54 { class_Rings_Olinordered__semidom( tc_Nat_Onat ) }.
% 0.95/1.54 { class_Groups_Oab__semigroup__mult( tc_Nat_Onat ) }.
% 0.95/1.54 { class_Groups_Ocomm__monoid__mult( tc_Nat_Onat ) }.
% 0.95/1.54 { class_Groups_Oab__semigroup__add( tc_Nat_Onat ) }.
% 0.95/1.54 { class_Rings_Oordered__semiring( tc_Nat_Onat ) }.
% 0.95/1.54 { class_Rings_Ono__zero__divisors( tc_Nat_Onat ) }.
% 0.95/1.54 { class_Groups_Ocomm__monoid__add( tc_Nat_Onat ) }.
% 0.95/1.54 { class_Rings_Ocomm__semiring__1( tc_Nat_Onat ) }.
% 0.95/1.54 { class_Rings_Ocomm__semiring__0( tc_Nat_Onat ) }.
% 0.95/1.54 { class_Rings_Ocomm__semiring( tc_Nat_Onat ) }.
% 0.95/1.54 { class_Rings_Ozero__neq__one( tc_Nat_Onat ) }.
% 0.95/1.54 { class_Orderings_Olinorder( tc_Nat_Onat ) }.
% 0.95/1.54 { class_Groups_Omonoid__mult( tc_Nat_Onat ) }.
% 0.95/1.54 { class_Groups_Omonoid__add( tc_Nat_Onat ) }.
% 0.95/1.54 { class_Rings_Osemiring__1( tc_Nat_Onat ) }.
% 0.95/1.54 { class_Rings_Omult__zero( tc_Nat_Onat ) }.
% 0.95/1.54 { class_Rings_Osemiring( tc_Nat_Onat ) }.
% 0.95/1.54 { class_Groups_Ozero( tc_Nat_Onat ) }.
% 0.95/1.54 { class_Int_Onumber( tc_Nat_Onat ) }.
% 0.95/1.54 { class_Groups_Oone( tc_Nat_Onat ) }.
% 0.95/1.54 { class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(
% 0.95/1.54 tc_RealDef_Oreal ) }.
% 0.95/1.54 { class_Groups_Oordered__cancel__ab__semigroup__add( tc_RealDef_Oreal ) }.
% 0.95/1.54 { class_Groups_Oordered__ab__semigroup__add__imp__le( tc_RealDef_Oreal ) }
% 0.95/1.54 .
% 0.95/1.54 { class_Rings_Olinordered__comm__semiring__strict( tc_RealDef_Oreal ) }.
% 0.95/1.54 { class_Fields_Olinordered__field__inverse__zero( tc_RealDef_Oreal ) }.
% 0.95/1.54 { class_Rings_Olinordered__semiring__1__strict( tc_RealDef_Oreal ) }.
% 0.95/1.54 { class_RealVector_Oreal__normed__div__algebra( tc_RealDef_Oreal ) }.
% 0.95/1.54 { class_Rings_Olinordered__semiring__strict( tc_RealDef_Oreal ) }.
% 0.95/1.54 { class_Rings_Odivision__ring__inverse__zero( tc_RealDef_Oreal ) }.
% 0.95/1.54 { class_RealVector_Oreal__normed__algebra__1( tc_RealDef_Oreal ) }.
% 0.95/1.54 { class_Groups_Oordered__ab__semigroup__add( tc_RealDef_Oreal ) }.
% 0.95/1.54 { class_Groups_Oordered__ab__group__add__abs( tc_RealDef_Oreal ) }.
% 0.95/1.54 { class_RealVector_Oreal__normed__algebra( tc_RealDef_Oreal ) }.
% 0.95/1.54 { class_Groups_Oordered__comm__monoid__add( tc_RealDef_Oreal ) }.
% 0.95/1.54 { class_Groups_Olinordered__ab__group__add( tc_RealDef_Oreal ) }.
% 0.95/1.54 { class_Groups_Ocancel__ab__semigroup__add( tc_RealDef_Oreal ) }.
% 0.95/1.54 { class_Rings_Oring__1__no__zero__divisors( tc_RealDef_Oreal ) }.
% 0.95/1.54 { class_Rings_Oordered__cancel__semiring( tc_RealDef_Oreal ) }.
% 0.95/1.54 { class_RealVector_Oreal__normed__vector( tc_RealDef_Oreal ) }.
% 0.95/1.54 { class_Rings_Olinordered__ring__strict( tc_RealDef_Oreal ) }.
% 0.95/1.54 { class_RealVector_Oreal__normed__field( tc_RealDef_Oreal ) }.
% 0.95/1.54 { class_Rings_Oring__no__zero__divisors( tc_RealDef_Oreal ) }.
% 0.95/1.54 { class_Rings_Oordered__comm__semiring( tc_RealDef_Oreal ) }.
% 0.95/1.54 { class_Rings_Olinordered__semiring__1( tc_RealDef_Oreal ) }.
% 0.95/1.54 { class_Groups_Oordered__ab__group__add( tc_RealDef_Oreal ) }.
% 0.95/1.54 { class_Groups_Ocancel__semigroup__add( tc_RealDef_Oreal ) }.
% 0.95/1.54 { class_Rings_Olinordered__semiring( tc_RealDef_Oreal ) }.
% 0.95/1.54 { class_Fields_Ofield__inverse__zero( tc_RealDef_Oreal ) }.
% 0.95/1.54 { class_Rings_Olinordered__semidom( tc_RealDef_Oreal ) }.
% 0.95/1.54 { class_Groups_Oab__semigroup__mult( tc_RealDef_Oreal ) }.
% 0.95/1.54 { class_Groups_Ocomm__monoid__mult( tc_RealDef_Oreal ) }.
% 0.95/1.54 { class_Groups_Oab__semigroup__add( tc_RealDef_Oreal ) }.
% 0.95/1.54 { class_Fields_Olinordered__field( tc_RealDef_Oreal ) }.
% 0.95/1.54 { class_Rings_Oordered__semiring( tc_RealDef_Oreal ) }.
% 0.95/1.54 { class_Rings_Oordered__ring__abs( tc_RealDef_Oreal ) }.
% 0.95/1.54 { class_Rings_Ono__zero__divisors( tc_RealDef_Oreal ) }.
% 0.95/1.54 { class_Groups_Ocomm__monoid__add( tc_RealDef_Oreal ) }.
% 0.95/1.54 { class_Rings_Olinordered__ring( tc_RealDef_Oreal ) }.
% 0.95/1.54 { class_Rings_Olinordered__idom( tc_RealDef_Oreal ) }.
% 0.95/1.54 { class_Rings_Ocomm__semiring__1( tc_RealDef_Oreal ) }.
% 0.95/1.54 { class_Rings_Ocomm__semiring__0( tc_RealDef_Oreal ) }.
% 0.95/1.54 { class_RealVector_Oreal__field( tc_RealDef_Oreal ) }.
% 0.95/1.54 { class_Rings_Odivision__ring( tc_RealDef_Oreal ) }.
% 0.95/1.54 { class_Rings_Ocomm__semiring( tc_RealDef_Oreal ) }.
% 0.95/1.54 { class_Groups_Oab__group__add( tc_RealDef_Oreal ) }.
% 0.95/1.54 { class_Rings_Ozero__neq__one( tc_RealDef_Oreal ) }.
% 0.95/1.54 { class_Rings_Oordered__ring( tc_RealDef_Oreal ) }.
% 0.95/1.54 { class_Orderings_Olinorder( tc_RealDef_Oreal ) }.
% 0.95/1.54 { class_Groups_Omonoid__mult( tc_RealDef_Oreal ) }.
% 0.95/1.54 { class_Rings_Ocomm__ring__1( tc_RealDef_Oreal ) }.
% 0.95/1.54 { class_Groups_Omonoid__add( tc_RealDef_Oreal ) }.
% 0.95/1.54 { class_Rings_Osemiring__1( tc_RealDef_Oreal ) }.
% 0.95/1.54 { class_Groups_Ogroup__add( tc_RealDef_Oreal ) }.
% 0.95/1.54 { class_Rings_Omult__zero( tc_RealDef_Oreal ) }.
% 0.95/1.54 { class_Rings_Ocomm__ring( tc_RealDef_Oreal ) }.
% 0.95/1.54 { class_Int_Oring__char__0( tc_RealDef_Oreal ) }.
% 0.95/1.54 { class_Int_Onumber__ring( tc_RealDef_Oreal ) }.
% 0.95/1.54 { class_Rings_Osemiring( tc_RealDef_Oreal ) }.
% 0.95/1.54 { class_Groups_Osgn__if( tc_RealDef_Oreal ) }.
% 0.95/1.54 { class_Groups_Oabs__if( tc_RealDef_Oreal ) }.
% 0.95/1.54 { class_Rings_Oring__1( tc_RealDef_Oreal ) }.
% 0.95/1.54 { class_Fields_Ofield( tc_RealDef_Oreal ) }.
% 0.95/1.54 { class_Groups_Ozero( tc_RealDef_Oreal ) }.
% 0.95/1.54 { class_Rings_Oring( tc_RealDef_Oreal ) }.
% 0.95/1.54 { class_Rings_Oidom( tc_RealDef_Oreal ) }.
% 0.95/1.54 { class_Int_Onumber( tc_RealDef_Oreal ) }.
% 0.95/1.54 { class_Groups_Oone( tc_RealDef_Oreal ) }.
% 0.95/1.54 { class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(
% 0.95/1.54 tc_Complex_Ocomplex ) }.
% 0.95/1.54 { class_RealVector_Oreal__normed__div__algebra( tc_Complex_Ocomplex ) }.
% 0.95/1.54 { class_Rings_Odivision__ring__inverse__zero( tc_Complex_Ocomplex ) }.
% 0.95/1.54 { class_RealVector_Oreal__normed__algebra__1( tc_Complex_Ocomplex ) }.
% 0.95/1.54 { class_RealVector_Oreal__normed__algebra( tc_Complex_Ocomplex ) }.
% 0.95/1.54 { class_Groups_Ocancel__ab__semigroup__add( tc_Complex_Ocomplex ) }.
% 0.95/1.54 { class_Rings_Oring__1__no__zero__divisors( tc_Complex_Ocomplex ) }.
% 0.95/1.54 { class_RealVector_Oreal__normed__vector( tc_Complex_Ocomplex ) }.
% 0.95/1.54 { class_RealVector_Oreal__normed__field( tc_Complex_Ocomplex ) }.
% 0.95/1.54 { class_Rings_Oring__no__zero__divisors( tc_Complex_Ocomplex ) }.
% 0.95/1.54 { class_Groups_Ocancel__semigroup__add( tc_Complex_Ocomplex ) }.
% 0.95/1.54 { class_Fields_Ofield__inverse__zero( tc_Complex_Ocomplex ) }.
% 0.95/1.54 { class_Groups_Oab__semigroup__mult( tc_Complex_Ocomplex ) }.
% 0.95/1.54 { class_Groups_Ocomm__monoid__mult( tc_Complex_Ocomplex ) }.
% 0.95/1.54 { class_Groups_Oab__semigroup__add( tc_Complex_Ocomplex ) }.
% 0.95/1.54 { class_Rings_Ono__zero__divisors( tc_Complex_Ocomplex ) }.
% 0.95/1.54 { class_Groups_Ocomm__monoid__add( tc_Complex_Ocomplex ) }.
% 0.95/1.54 { class_Rings_Ocomm__semiring__1( tc_Complex_Ocomplex ) }.
% 0.95/1.54 { class_Rings_Ocomm__semiring__0( tc_Complex_Ocomplex ) }.
% 0.95/1.54 { class_RealVector_Oreal__field( tc_Complex_Ocomplex ) }.
% 0.95/1.54 { class_Rings_Odivision__ring( tc_Complex_Ocomplex ) }.
% 0.95/1.54 { class_Rings_Ocomm__semiring( tc_Complex_Ocomplex ) }.
% 0.95/1.54 { class_Groups_Oab__group__add( tc_Complex_Ocomplex ) }.
% 0.95/1.54 { class_Rings_Ozero__neq__one( tc_Complex_Ocomplex ) }.
% 0.95/1.54 { class_Groups_Omonoid__mult( tc_Complex_Ocomplex ) }.
% 0.95/1.54 { class_Rings_Ocomm__ring__1( tc_Complex_Ocomplex ) }.
% 0.95/1.54 { class_Groups_Omonoid__add( tc_Complex_Ocomplex ) }.
% 0.95/1.54 { class_Rings_Osemiring__1( tc_Complex_Ocomplex ) }.
% 0.95/1.54 { class_Groups_Ogroup__add( tc_Complex_Ocomplex ) }.
% 0.95/1.54 { class_Rings_Omult__zero( tc_Complex_Ocomplex ) }.
% 0.95/1.54 { class_Rings_Ocomm__ring( tc_Complex_Ocomplex ) }.
% 0.95/1.54 { class_Int_Oring__char__0( tc_Complex_Ocomplex ) }.
% 0.95/1.54 { class_Int_Onumber__ring( tc_Complex_Ocomplex ) }.
% 0.95/1.54 { class_Rings_Osemiring( tc_Complex_Ocomplex ) }.
% 0.95/1.54 { class_Rings_Oring__1( tc_Complex_Ocomplex ) }.
% 0.95/1.54 { class_Fields_Ofield( tc_Complex_Ocomplex ) }.
% 0.95/1.54 { class_Groups_Ozero( tc_Complex_Ocomplex ) }.
% 0.95/1.54 { class_Rings_Oring( tc_Complex_Ocomplex ) }.
% 0.95/1.54 { class_Rings_Oidom( tc_Complex_Ocomplex ) }.
% 0.95/1.54 { class_Int_Onumber( tc_Complex_Ocomplex ) }.
% 0.95/1.54 { class_Groups_Oone( tc_Complex_Ocomplex ) }.
% 0.95/1.54 { ! class_Rings_Oidom( X ),
% 0.95/1.54 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(
% 0.95/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__idom( X ),
% 0.95/1.54 class_Groups_Oordered__cancel__ab__semigroup__add( tc_Polynomial_Opoly( X
% 0.95/1.54 ) ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__idom( X ),
% 0.95/1.54 class_Groups_Oordered__ab__semigroup__add__imp__le( tc_Polynomial_Opoly(
% 0.95/1.54 X ) ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__idom( X ),
% 0.95/1.54 class_Rings_Olinordered__comm__semiring__strict( tc_Polynomial_Opoly( X )
% 0.95/1.54 ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__idom( X ),
% 0.95/1.54 class_Rings_Olinordered__semiring__1__strict( tc_Polynomial_Opoly( X ) )
% 0.95/1.54 }.
% 0.95/1.54 { ! class_Rings_Olinordered__idom( X ),
% 0.95/1.54 class_Rings_Olinordered__semiring__strict( tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__idom( X ),
% 0.95/1.54 class_Groups_Oordered__ab__semigroup__add( tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__idom( X ),
% 0.95/1.54 class_Groups_Oordered__ab__group__add__abs( tc_Polynomial_Opoly( X ) ) }
% 0.95/1.54 .
% 0.95/1.54 { ! class_Rings_Olinordered__idom( X ),
% 0.95/1.54 class_Groups_Oordered__comm__monoid__add( tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__idom( X ),
% 0.95/1.54 class_Groups_Olinordered__ab__group__add( tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.54 { ! class_Groups_Ocancel__comm__monoid__add( X ),
% 0.95/1.54 class_Groups_Ocancel__ab__semigroup__add( tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.54 { ! class_Rings_Oidom( X ), class_Rings_Oring__1__no__zero__divisors(
% 0.95/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__idom( X ),
% 0.95/1.54 class_Rings_Oordered__cancel__semiring( tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__idom( X ),
% 0.95/1.54 class_Rings_Olinordered__ring__strict( tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.54 { ! class_Rings_Oidom( X ), class_Rings_Oring__no__zero__divisors(
% 0.95/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__idom( X ),
% 0.95/1.54 class_Rings_Oordered__comm__semiring( tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__idom( X ),
% 0.95/1.54 class_Rings_Olinordered__semiring__1( tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__idom( X ),
% 0.95/1.54 class_Groups_Oordered__ab__group__add( tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.54 { ! class_Groups_Ocancel__comm__monoid__add( X ),
% 0.95/1.54 class_Groups_Ocancel__semigroup__add( tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__idom( X ), class_Rings_Olinordered__semiring(
% 0.95/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__idom( X ), class_Rings_Olinordered__semidom(
% 0.95/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.54 { ! class_Rings_Ocomm__semiring__0( X ), class_Groups_Oab__semigroup__mult
% 0.95/1.54 ( tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.54 { ! class_Rings_Ocomm__semiring__1( X ), class_Groups_Ocomm__monoid__mult(
% 0.95/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.54 { ! class_Groups_Ocomm__monoid__add( X ), class_Groups_Oab__semigroup__add
% 0.95/1.54 ( tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__idom( X ), class_Rings_Oordered__semiring(
% 0.95/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__idom( X ), class_Rings_Oordered__ring__abs(
% 0.95/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.54 { ! class_Rings_Oidom( X ), class_Rings_Ono__zero__divisors(
% 0.95/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.54 { ! class_Groups_Ocomm__monoid__add( X ), class_Groups_Ocomm__monoid__add(
% 0.95/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__idom( X ), class_Rings_Olinordered__ring(
% 0.95/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__idom( X ), class_Rings_Olinordered__idom(
% 0.95/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.54 { ! class_Rings_Ocomm__semiring__1( X ), class_Rings_Ocomm__semiring__1(
% 0.95/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.54 { ! class_Rings_Ocomm__semiring__0( X ), class_Rings_Ocomm__semiring__0(
% 0.95/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.54 { ! class_Rings_Ocomm__semiring__0( X ), class_Rings_Ocomm__semiring(
% 0.95/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.54 { ! class_Groups_Oab__group__add( X ), class_Groups_Oab__group__add(
% 0.95/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.54 { ! class_Rings_Ocomm__semiring__1( X ), class_Rings_Ozero__neq__one(
% 0.95/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__idom( X ), class_Rings_Oordered__ring(
% 0.95/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__idom( X ), class_Orderings_Olinorder(
% 0.95/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.54 { ! class_Rings_Ocomm__semiring__1( X ), class_Groups_Omonoid__mult(
% 0.95/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.54 { ! class_Rings_Ocomm__ring__1( X ), class_Rings_Ocomm__ring__1(
% 0.95/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.54 { ! class_Groups_Ocomm__monoid__add( X ), class_Groups_Omonoid__add(
% 0.95/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.54 { ! class_Rings_Ocomm__semiring__1( X ), class_Rings_Osemiring__1(
% 0.95/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.54 { ! class_Groups_Oab__group__add( X ), class_Groups_Ogroup__add(
% 0.95/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.54 { ! class_Rings_Ocomm__semiring__0( X ), class_Rings_Omult__zero(
% 0.95/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.54 { ! class_Rings_Ocomm__ring( X ), class_Rings_Ocomm__ring(
% 0.95/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__idom( X ), class_Int_Oring__char__0(
% 0.95/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.54 { ! class_Rings_Ocomm__ring__1( X ), class_Int_Onumber__ring(
% 0.95/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.54 { ! class_Rings_Ocomm__semiring__0( X ), class_Rings_Osemiring(
% 0.95/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__idom( X ), class_Groups_Osgn__if(
% 0.95/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.54 { ! class_Rings_Olinordered__idom( X ), class_Groups_Oabs__if(
% 0.95/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.54 { ! class_Rings_Ocomm__ring__1( X ), class_Rings_Oring__1(
% 0.95/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.54 { ! class_Groups_Ozero( X ), class_Groups_Ozero( tc_Polynomial_Opoly( X ) )
% 0.95/1.54 }.
% 0.95/1.54 { ! class_Rings_Ocomm__ring( X ), class_Rings_Oring( tc_Polynomial_Opoly( X
% 0.95/1.54 ) ) }.
% 0.95/1.54 { ! class_Rings_Oidom( X ), class_Rings_Oidom( tc_Polynomial_Opoly( X ) ) }
% 0.95/1.54 .
% 0.95/1.54 { ! class_Rings_Ocomm__ring__1( X ), class_Int_Onumber( tc_Polynomial_Opoly
% 0.95/1.54 ( X ) ) }.
% 0.95/1.54 { ! class_Rings_Ocomm__semiring__1( X ), class_Groups_Oone(
% 0.95/1.54 tc_Polynomial_Opoly( X ) ) }.
% 0.95/1.54 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.95/1.54 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.95/1.54 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, hAPP(
% 0.95/1.54 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), v_wa____ ), hAPP(
% 0.95/1.54 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), v_z____ ) ) ),
% 0.95/1.54 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.95/1.54 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.95/1.54 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.95/1.54 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), v_z____ ) ),
% 0.95/1.54 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) ) ),
% 0.95/1.54 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.95/1.54 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.95/1.54
% 0.95/1.54 *** allocated 15000 integers for clauses
% 0.95/1.54 *** allocated 22500 integers for clauses
% 0.95/1.54 *** allocated 33750 integers for clauses
% 0.95/1.54 *** allocated 50625 integers for clauses
% 0.95/1.54 *** allocated 75937 integers for clauses
% 0.95/1.54 *** allocated 113905 integers for clauses
% 0.95/1.54 percentage equality = 0.226248, percentage horn = 0.909141
% 0.95/1.54 This is a problem with some equality
% 0.95/1.54
% 0.95/1.54
% 0.95/1.54
% 0.95/1.54 Options Used:
% 0.95/1.54
% 0.95/1.54 useres = 1
% 0.95/1.54 useparamod = 1
% 0.95/1.54 useeqrefl = 1
% 0.95/1.54 useeqfact = 1
% 0.95/1.54 usefactor = 1
% 0.95/1.54 usesimpsplitting = 0
% 0.95/1.54 usesimpdemod = 5
% 0.95/1.54 usesimpres = 3
% 0.95/1.54
% 0.95/1.54 resimpinuse = 1000
% 0.95/1.54 resimpclauses = 20000
% 0.95/1.54 substype = eqrewr
% 0.95/1.54 backwardsubs = 1
% 0.95/1.54 selectoldest = 5
% 0.95/1.54
% 0.95/1.54 litorderings [0] = split
% 0.95/1.54 litorderings [1] = extend the termordering, first sorting on arguments
% 0.95/1.54
% 0.95/1.54 termordering = kbo
% 0.95/1.54
% 0.95/1.54 litapriori = 0
% 0.95/1.54 termapriori = 1
% 0.95/1.54 litaposteriori = 0
% 0.95/1.54 termaposteriori = 0
% 0.95/1.54 demodaposteriori = 0
% 0.95/1.54 ordereqreflfact = 0
% 0.95/1.54
% 0.95/1.54 litselect = negord
% 0.95/1.54
% 0.95/1.54 maxweight = 15
% 0.95/1.54 maxdepth = 30000
% 0.95/1.54 maxlength = 115
% 0.95/1.54 maxnrvars = 195
% 0.95/1.54 excuselevel = 1
% 0.95/1.54 increasemaxweight = 1
% 0.95/1.54
% 0.95/1.54 maxselected = 10000000
% 0.95/1.54 maxnrclauses = 10000000
% 0.95/1.54
% 0.95/1.54 showgenerated = 0
% 0.95/1.54 showkept = 0
% 0.95/1.54 showselected = 0
% 0.95/1.54 showdeleted = 0
% 0.95/1.54 showresimp = 1
% 0.95/1.54 showstatus = 2000
% 0.95/1.54
% 0.95/1.54 prologoutput = 0
% 0.95/1.54 nrgoals = 5000000
% 0.95/1.54 totalproof = 1
% 0.95/1.54
% 0.95/1.54 Symbols occurring in the translation:
% 0.95/1.54
% 0.95/1.54 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.95/1.54 . [1, 2] (w:1, o:214, a:1, s:1, b:0),
% 0.95/1.54 ! [4, 1] (w:0, o:111, a:1, s:1, b:0),
% 0.95/1.54 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.95/1.54 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.95/1.54 hAPP [38, 2] (w:1, o:238, a:1, s:1, b:0),
% 0.95/1.54 v_f____ [39, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.95/1.54 c_SEQ_Osubseq [40, 1] (w:1, o:117, a:1, s:1, b:0),
% 0.95/1.54 tc_RealDef_Oreal [41, 0] (w:1, o:20, a:1, s:1, b:0),
% 0.95/1.54 tc_Complex_Ocomplex [42, 0] (w:1, o:21, a:1, s:1, b:0),
% 0.95/1.54 v_wa____ [43, 0] (w:1, o:22, a:1, s:1, b:0),
% 0.95/1.54 v_z____ [44, 0] (w:1, o:23, a:1, s:1, b:0),
% 0.95/1.54 c_Groups_Ominus__class_Ominus [45, 3] (w:1, o:266, a:1, s:1, b:0),
% 0.95/1.54 c_RealVector_Onorm__class_Onorm [46, 2] (w:1, o:239, a:1, s:1, b:0),
% 0.95/1.54
% 0.95/1.54 v_d____ [47, 0] (w:1, o:24, a:1, s:1, b:0),
% 0.95/1.54 c_Orderings_Oord__class_Oless [48, 3] (w:1, o:267, a:1, s:1, b:0),
% 0.95/1.54 c_Groups_Ozero__class_Ozero [49, 1] (w:1, o:118, a:1, s:1, b:0),
% 0.95/1.54 v_p [50, 0] (w:1, o:25, a:1, s:1, b:0),
% 0.95/1.54 c_Polynomial_Opoly [51, 2] (w:1, o:240, a:1, s:1, b:0),
% 0.95/1.54 v_s____ [52, 0] (w:1, o:27, a:1, s:1, b:0),
% 0.95/1.54 c_Groups_Ouminus__class_Ouminus [53, 2] (w:1, o:242, a:1, s:1, b:0),
% 0.95/1.55
% 0.95/1.55 c_Groups_Oabs__class_Oabs [54, 2] (w:1, o:243, a:1, s:1, b:0),
% 0.95/1.55 c_Int_OPls [55, 0] (w:1, o:28, a:1, s:1, b:0),
% 0.95/1.55 c_Int_OBit1 [56, 1] (w:1, o:120, a:1, s:1, b:0),
% 0.95/1.55 c_Int_OBit0 [57, 1] (w:1, o:119, a:1, s:1, b:0),
% 0.95/1.55 c_Int_Onumber__class_Onumber__of [58, 2] (w:1, o:244, a:1, s:1, b:0)
% 0.95/1.55 ,
% 0.95/1.55 c_Rings_Oinverse__class_Odivide [59, 3] (w:1, o:268, a:1, s:1, b:0),
% 0.95/1.55
% 0.95/1.55 class_Int_Onumber__ring [64, 1] (w:1, o:121, a:1, s:1, b:0),
% 0.95/1.55 class_RealVector_Oreal__normed__algebra__1 [65, 1] (w:1, o:122, a:1
% 0.95/1.55 , s:1, b:0),
% 0.95/1.55 class_Fields_Ofield [67, 1] (w:1, o:123, a:1, s:1, b:0),
% 0.95/1.55 class_Fields_Ofield__inverse__zero [70, 1] (w:1, o:124, a:1, s:1, b:0
% 0.95/1.55 ),
% 0.95/1.55 class_RealVector_Oreal__normed__field [71, 1] (w:1, o:125, a:1, s:1
% 0.95/1.55 , b:0),
% 0.95/1.55 class_Rings_Olinordered__idom [74, 1] (w:1, o:126, a:1, s:1, b:0),
% 0.95/1.55 class_RealVector_Oreal__normed__vector [75, 1] (w:1, o:127, a:1, s:1
% 0.95/1.55 , b:0),
% 0.95/1.55 class_Rings_Ocomm__ring [77, 1] (w:1, o:128, a:1, s:1, b:0),
% 0.95/1.55 tc_Polynomial_Opoly [78, 1] (w:1, o:145, a:1, s:1, b:0),
% 0.95/1.55 class_Rings_Ocomm__semiring__0 [80, 1] (w:1, o:147, a:1, s:1, b:0),
% 0.95/1.55 tc_Int_Oint [83, 0] (w:1, o:54, a:1, s:1, b:0),
% 0.95/1.55 class_Rings_Odivision__ring__inverse__zero [90, 1] (w:1, o:150, a:1
% 0.95/1.55 , s:1, b:0),
% 0.95/1.55 class_Rings_Odivision__ring [92, 1] (w:1, o:151, a:1, s:1, b:0),
% 0.95/1.55 class_Int_Oring__char__0 [94, 1] (w:1, o:152, a:1, s:1, b:0),
% 0.95/1.55 class_Int_Onumber [96, 1] (w:1, o:153, a:1, s:1, b:0),
% 0.95/1.55 class_Rings_Oidom [99, 1] (w:1, o:154, a:1, s:1, b:0),
% 0.95/1.55 class_Fields_Olinordered__field__inverse__zero [100, 1] (w:1, o:155
% 0.95/1.55 , a:1, s:1, b:0),
% 0.95/1.55 class_Groups_Oordered__ab__group__add__abs [105, 1] (w:1, o:157, a:1
% 0.95/1.55 , s:1, b:0),
% 0.95/1.55 class_Groups_Oabs__if [106, 1] (w:1, o:158, a:1, s:1, b:0),
% 0.95/1.55 class_Fields_Olinordered__field [107, 1] (w:1, o:156, a:1, s:1, b:0)
% 0.95/1.55 ,
% 0.95/1.55 class_Groups_Ogroup__add [108, 1] (w:1, o:159, a:1, s:1, b:0),
% 0.95/1.55 tc_Nat_Onat [112, 0] (w:1, o:71, a:1, s:1, b:0),
% 0.95/1.55 class_Groups_Oab__group__add [113, 1] (w:1, o:160, a:1, s:1, b:0),
% 0.95/1.55 class_Groups_Ozero [114, 1] (w:1, o:161, a:1, s:1, b:0),
% 0.95/1.55 class_Groups_Oordered__ab__group__add [118, 1] (w:1, o:162, a:1, s:1
% 0.95/1.55 , b:0),
% 0.95/1.55 class_Groups_Olinordered__ab__group__add [119, 1] (w:1, o:163, a:1
% 0.95/1.55 , s:1, b:0),
% 0.95/1.55 c_Orderings_Oord__class_Oless__eq [123, 3] (w:1, o:269, a:1, s:1, b:0
% 0.95/1.55 ),
% 0.95/1.55 v_g____ [124, 1] (w:1, o:164, a:1, s:1, b:0),
% 0.95/1.55 c_Polynomial_Oorder [126, 3] (w:1, o:270, a:1, s:1, b:0),
% 0.95/1.55 c_Groups_Oplus__class_Oplus [127, 3] (w:1, o:271, a:1, s:1, b:0),
% 0.95/1.55 c_Transcendental_Opi [128, 0] (w:1, o:78, a:1, s:1, b:0),
% 0.95/1.55 c_Fundamental__Theorem__Algebra__Mirabelle_Opsize [129, 2] (w:1, o:
% 0.95/1.55 241, a:1, s:1, b:0),
% 0.95/1.55 c_Groups_Oone__class_Oone [130, 1] (w:1, o:165, a:1, s:1, b:0),
% 0.95/1.55 class_Groups_Oordered__comm__monoid__add [131, 1] (w:1, o:166, a:1
% 0.95/1.55 , s:1, b:0),
% 0.95/1.55 class_Groups_Oordered__cancel__ab__semigroup__add [133, 1] (w:1, o:
% 0.95/1.55 167, a:1, s:1, b:0),
% 0.95/1.55 class_Groups_Oordered__ab__semigroup__add__imp__le [134, 1] (w:1, o:
% 0.95/1.55 168, a:1, s:1, b:0),
% 0.95/1.55 class_Groups_Ocancel__semigroup__add [135, 1] (w:1, o:169, a:1, s:1
% 0.95/1.55 , b:0),
% 0.95/1.55 class_Groups_Ocancel__ab__semigroup__add [136, 1] (w:1, o:170, a:1
% 0.95/1.55 , s:1, b:0),
% 0.95/1.55 class_Groups_Oordered__ab__semigroup__add [137, 1] (w:1, o:171, a:1
% 0.95/1.55 , s:1, b:0),
% 0.95/1.55 class_Groups_Oab__semigroup__add [138, 1] (w:1, o:172, a:1, s:1, b:0)
% 0.95/1.55 ,
% 0.95/1.55 class_Groups_Oone [139, 1] (w:1, o:173, a:1, s:1, b:0),
% 0.95/1.55 class_Rings_Olinordered__semidom [140, 1] (w:1, o:176, a:1, s:1, b:0)
% 0.95/1.55 ,
% 0.95/1.55 class_Rings_Ocomm__semiring__1 [141, 1] (w:1, o:148, a:1, s:1, b:0),
% 0.95/1.55
% 0.95/1.55 class_Groups_Omonoid__add [143, 1] (w:1, o:177, a:1, s:1, b:0),
% 0.95/1.55 class_Groups_Ocomm__monoid__add [144, 1] (w:1, o:178, a:1, s:1, b:0)
% 0.95/1.55 ,
% 0.95/1.55 class_Rings_Ozero__neq__one [145, 1] (w:1, o:179, a:1, s:1, b:0),
% 0.95/1.55 class_Orderings_Olinorder [147, 1] (w:1, o:180, a:1, s:1, b:0),
% 0.95/1.55 c_Nat_OSuc [149, 1] (w:1, o:181, a:1, s:1, b:0),
% 0.95/1.55 c_RealDef_Oreal [150, 2] (w:1, o:245, a:1, s:1, b:0),
% 0.95/1.55 class_Rings_Ocomm__ring__1 [151, 1] (w:1, o:146, a:1, s:1, b:0),
% 0.95/1.55 v_r [152, 0] (w:1, o:26, a:1, s:1, b:0),
% 0.95/1.55 hBOOL [172, 1] (w:1, o:182, a:1, s:1, b:0),
% 0.95/1.55 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct [
% 0.95/1.55 175, 1] (w:1, o:204, a:1, s:1, b:0),
% 0.95/1.55 v_w____ [179, 0] (w:1, o:104, a:1, s:1, b:0),
% 0.95/1.55 c_Int_Oiszero [185, 2] (w:1, o:246, a:1, s:1, b:0),
% 0.95/1.55 c_Transcendental_Oarctan [186, 1] (w:1, o:205, a:1, s:1, b:0),
% 0.95/1.55 class_Rings_Osemiring__1 [187, 1] (w:1, o:187, a:1, s:1, b:0),
% 0.95/1.55 c_Transcendental_Otan [188, 1] (w:1, o:206, a:1, s:1, b:0),
% 0.95/1.55 c_Groups_Otimes__class_Otimes [189, 3] (w:1, o:272, a:1, s:1, b:0),
% 0.95/1.55 class_Rings_Oring [190, 1] (w:1, o:183, a:1, s:1, b:0),
% 0.95/1.55 class_RealVector_Oreal__normed__algebra [191, 1] (w:1, o:188, a:1, s:
% 0.95/1.55 1, b:0),
% 0.95/1.55 class_Rings_Osemiring [193, 1] (w:1, o:189, a:1, s:1, b:0),
% 0.95/1.55 class_Rings_Ocomm__semiring [195, 1] (w:1, o:149, a:1, s:1, b:0),
% 0.95/1.55 class_Groups_Ocomm__monoid__mult [197, 1] (w:1, o:207, a:1, s:1, b:0)
% 0.95/1.55 ,
% 0.95/1.55 class_Groups_Omonoid__mult [198, 1] (w:1, o:208, a:1, s:1, b:0),
% 0.95/1.55 class_RealVector_Oreal__normed__div__algebra [199, 1] (w:1, o:190, a:
% 0.95/1.55 1, s:1, b:0),
% 0.95/1.55 class_Groups_Oab__semigroup__mult [200, 1] (w:1, o:209, a:1, s:1, b:0
% 0.95/1.55 ),
% 0.95/1.55 class_Rings_Ono__zero__divisors [205, 1] (w:1, o:197, a:1, s:1, b:0)
% 0.95/1.55 ,
% 0.95/1.55 class_Rings_Oring__no__zero__divisors [206, 1] (w:1, o:184, a:1, s:1
% 0.95/1.55 , b:0),
% 0.95/1.55 class_Rings_Omult__zero [207, 1] (w:1, o:196, a:1, s:1, b:0),
% 0.95/1.55 class_Rings_Oring__1__no__zero__divisors [208, 1] (w:1, o:185, a:1
% 0.95/1.55 , s:1, b:0),
% 0.95/1.55 class_Rings_Olinordered__ring__strict [210, 1] (w:1, o:174, a:1, s:1
% 0.95/1.55 , b:0),
% 0.95/1.55 class_Rings_Olinordered__ring [211, 1] (w:1, o:175, a:1, s:1, b:0),
% 0.95/1.55 class_Rings_Olinordered__semiring__strict [212, 1] (w:1, o:191, a:1
% 0.95/1.55 , s:1, b:0),
% 0.95/1.55 class_Rings_Olinordered__comm__semiring__strict [213, 1] (w:1, o:192
% 0.95/1.55 , a:1, s:1, b:0),
% 0.95/1.55 class_Rings_Oordered__cancel__semiring [214, 1] (w:1, o:198, a:1, s:1
% 0.95/1.55 , b:0),
% 0.95/1.55 class_Rings_Oordered__ring [215, 1] (w:1, o:199, a:1, s:1, b:0),
% 0.95/1.55 class_Rings_Oordered__semiring [216, 1] (w:1, o:201, a:1, s:1, b:0),
% 0.95/1.55
% 0.95/1.55 class_Rings_Oordered__comm__semiring [217, 1] (w:1, o:202, a:1, s:1
% 0.95/1.55 , b:0),
% 0.95/1.55 class_Rings_Olinordered__semiring [219, 1] (w:1, o:193, a:1, s:1, b:0
% 0.95/1.55 ),
% 0.95/1.55 class_Rings_Oring__1 [220, 1] (w:1, o:186, a:1, s:1, b:0),
% 0.95/1.55 class_Rings_Oordered__ring__abs [221, 1] (w:1, o:200, a:1, s:1, b:0)
% 0.95/1.55 ,
% 0.95/1.55 class_RealVector_Oreal__field [223, 1] (w:1, o:203, a:1, s:1, b:0),
% 0.95/1.55 class_Rings_Olinordered__semiring__1 [224, 1] (w:1, o:194, a:1, s:1
% 0.95/1.55 , b:0),
% 0.95/1.55 class_Rings_Olinordered__semiring__1__strict [225, 1] (w:1, o:195, a:
% 0.95/1.55 1, s:1, b:0),
% 0.95/1.55 c_Groups_Osgn__class_Osgn [226, 2] (w:1, o:247, a:1, s:1, b:0),
% 0.95/1.55 c_RComplete_Onatceiling [227, 1] (w:1, o:116, a:1, s:1, b:0),
% 0.95/1.55 c_Transcendental_Ocos [228, 1] (w:1, o:210, a:1, s:1, b:0),
% 0.95/1.55 class_Groups_Osgn__if [229, 1] (w:1, o:211, a:1, s:1, b:0),
% 0.95/1.55 class_Groups_Ocancel__comm__monoid__add [231, 1] (w:1, o:212, a:1, s:
% 0.95/1.55 1, b:0),
% 0.95/1.55 alpha1 [232, 2] (w:1, o:248, a:1, s:1, b:1),
% 0.95/1.55 alpha2 [233, 3] (w:1, o:281, a:1, s:1, b:1),
% 0.95/1.55 alpha3 [234, 3] (w:1, o:292, a:1, s:1, b:1),
% 0.95/1.55 alpha4 [235, 3] (w:1, o:302, a:1, s:1, b:1),
% 0.95/1.55 alpha5 [236, 3] (w:1, o:307, a:1, s:1, b:1),
% 0.95/1.55 alpha6 [237, 2] (w:1, o:249, a:1, s:1, b:1),
% 0.95/1.55 alpha7 [238, 2] (w:1, o:250, a:1, s:1, b:1),
% 0.95/1.55 alpha8 [239, 2] (w:1, o:251, a:1, s:1, b:1),
% 0.95/1.55 alpha9 [240, 3] (w:1, o:308, a:1, s:1, b:1),
% 0.95/1.55 alpha10 [241, 3] (w:1, o:273, a:1, s:1, b:1),
% 0.95/1.55 alpha11 [242, 2] (w:1, o:253, a:1, s:1, b:1),
% 0.95/1.55 alpha12 [243, 1] (w:1, o:213, a:1, s:1, b:1),
% 0.95/1.55 alpha13 [244, 3] (w:1, o:274, a:1, s:1, b:1),
% 0.95/1.55 alpha14 [245, 3] (w:1, o:275, a:1, s:1, b:1),
% 0.95/1.55 alpha15 [246, 4] (w:1, o:316, a:1, s:1, b:1),
% 0.95/1.55 alpha16 [247, 4] (w:1, o:317, a:1, s:1, b:1),
% 0.95/1.55 alpha17 [248, 3] (w:1, o:276, a:1, s:1, b:1),
% 0.95/1.55 alpha18 [249, 3] (w:1, o:277, a:1, s:1, b:1),
% 1.83/2.20 alpha19 [250, 3] (w:1, o:278, a:1, s:1, b:1),
% 1.83/2.20 alpha20 [251, 3] (w:1, o:282, a:1, s:1, b:1),
% 1.83/2.20 alpha21 [252, 3] (w:1, o:283, a:1, s:1, b:1),
% 1.83/2.20 alpha22 [253, 3] (w:1, o:284, a:1, s:1, b:1),
% 1.83/2.20 alpha23 [254, 3] (w:1, o:285, a:1, s:1, b:1),
% 1.83/2.20 alpha24 [255, 3] (w:1, o:286, a:1, s:1, b:1),
% 1.83/2.20 alpha25 [256, 3] (w:1, o:287, a:1, s:1, b:1),
% 1.83/2.20 alpha26 [257, 3] (w:1, o:288, a:1, s:1, b:1),
% 1.83/2.20 alpha27 [258, 3] (w:1, o:289, a:1, s:1, b:1),
% 1.83/2.20 alpha28 [259, 3] (w:1, o:290, a:1, s:1, b:1),
% 1.83/2.20 alpha29 [260, 3] (w:1, o:291, a:1, s:1, b:1),
% 1.83/2.20 alpha30 [261, 3] (w:1, o:293, a:1, s:1, b:1),
% 1.83/2.20 alpha31 [262, 3] (w:1, o:294, a:1, s:1, b:1),
% 1.83/2.20 alpha32 [263, 3] (w:1, o:295, a:1, s:1, b:1),
% 1.83/2.20 alpha33 [264, 3] (w:1, o:296, a:1, s:1, b:1),
% 1.83/2.20 alpha34 [265, 3] (w:1, o:297, a:1, s:1, b:1),
% 1.83/2.20 alpha35 [266, 3] (w:1, o:298, a:1, s:1, b:1),
% 1.83/2.20 alpha36 [267, 3] (w:1, o:299, a:1, s:1, b:1),
% 1.83/2.20 alpha37 [268, 3] (w:1, o:300, a:1, s:1, b:1),
% 1.83/2.20 alpha38 [269, 3] (w:1, o:301, a:1, s:1, b:1),
% 1.83/2.20 alpha39 [270, 2] (w:1, o:254, a:1, s:1, b:1),
% 1.83/2.20 alpha40 [271, 2] (w:1, o:255, a:1, s:1, b:1),
% 1.83/2.20 alpha41 [272, 3] (w:1, o:303, a:1, s:1, b:1),
% 1.83/2.20 alpha42 [273, 3] (w:1, o:304, a:1, s:1, b:1),
% 1.83/2.20 alpha43 [274, 2] (w:1, o:256, a:1, s:1, b:1),
% 1.83/2.20 alpha44 [275, 4] (w:1, o:318, a:1, s:1, b:1),
% 1.83/2.20 alpha45 [276, 4] (w:1, o:319, a:1, s:1, b:1),
% 1.83/2.20 alpha46 [277, 4] (w:1, o:320, a:1, s:1, b:1),
% 1.83/2.20 alpha47 [278, 4] (w:1, o:321, a:1, s:1, b:1),
% 1.83/2.20 alpha48 [279, 3] (w:1, o:305, a:1, s:1, b:1),
% 1.83/2.20 alpha49 [280, 3] (w:1, o:306, a:1, s:1, b:1),
% 1.83/2.20 alpha50 [281, 4] (w:1, o:322, a:1, s:1, b:1),
% 1.83/2.20 alpha51 [282, 4] (w:1, o:323, a:1, s:1, b:1),
% 1.83/2.20 alpha52 [283, 4] (w:1, o:324, a:1, s:1, b:1),
% 1.83/2.20 alpha53 [284, 4] (w:1, o:325, a:1, s:1, b:1),
% 1.83/2.20 alpha54 [285, 4] (w:1, o:326, a:1, s:1, b:1),
% 1.83/2.20 alpha55 [286, 4] (w:1, o:327, a:1, s:1, b:1),
% 1.83/2.20 alpha56 [287, 4] (w:1, o:328, a:1, s:1, b:1),
% 1.83/2.20 alpha57 [288, 4] (w:1, o:329, a:1, s:1, b:1),
% 1.83/2.20 alpha58 [289, 4] (w:1, o:330, a:1, s:1, b:1),
% 1.83/2.20 alpha59 [290, 4] (w:1, o:331, a:1, s:1, b:1),
% 1.83/2.20 alpha60 [291, 4] (w:1, o:332, a:1, s:1, b:1),
% 1.83/2.20 alpha61 [292, 4] (w:1, o:333, a:1, s:1, b:1),
% 1.83/2.20 alpha62 [293, 4] (w:1, o:334, a:1, s:1, b:1),
% 1.83/2.20 alpha63 [294, 4] (w:1, o:335, a:1, s:1, b:1),
% 1.83/2.20 alpha64 [295, 4] (w:1, o:336, a:1, s:1, b:1),
% 1.83/2.20 alpha65 [296, 4] (w:1, o:337, a:1, s:1, b:1),
% 1.83/2.20 alpha66 [297, 4] (w:1, o:338, a:1, s:1, b:1),
% 1.83/2.20 alpha67 [298, 4] (w:1, o:339, a:1, s:1, b:1),
% 1.83/2.20 alpha68 [299, 4] (w:1, o:340, a:1, s:1, b:1),
% 1.83/2.20 alpha69 [300, 4] (w:1, o:341, a:1, s:1, b:1),
% 1.83/2.20 alpha70 [301, 4] (w:1, o:342, a:1, s:1, b:1),
% 1.83/2.20 alpha71 [302, 4] (w:1, o:343, a:1, s:1, b:1),
% 1.83/2.20 alpha72 [303, 4] (w:1, o:344, a:1, s:1, b:1),
% 1.83/2.20 alpha73 [304, 4] (w:1, o:345, a:1, s:1, b:1),
% 1.83/2.20 alpha74 [305, 4] (w:1, o:346, a:1, s:1, b:1),
% 1.83/2.20 alpha75 [306, 4] (w:1, o:347, a:1, s:1, b:1),
% 1.83/2.20 alpha76 [307, 4] (w:1, o:348, a:1, s:1, b:1),
% 1.83/2.20 alpha77 [308, 4] (w:1, o:349, a:1, s:1, b:1),
% 1.83/2.20 alpha78 [309, 4] (w:1, o:350, a:1, s:1, b:1),
% 1.83/2.20 alpha79 [310, 4] (w:1, o:351, a:1, s:1, b:1),
% 1.83/2.20 alpha80 [311, 4] (w:1, o:352, a:1, s:1, b:1),
% 1.83/2.20 alpha81 [312, 4] (w:1, o:353, a:1, s:1, b:1),
% 1.83/2.20 alpha82 [313, 4] (w:1, o:354, a:1, s:1, b:1),
% 1.83/2.20 alpha83 [314, 4] (w:1, o:355, a:1, s:1, b:1),
% 1.83/2.20 alpha84 [315, 4] (w:1, o:356, a:1, s:1, b:1),
% 1.83/2.20 alpha85 [316, 4] (w:1, o:357, a:1, s:1, b:1),
% 1.83/2.20 alpha86 [317, 4] (w:1, o:358, a:1, s:1, b:1),
% 1.83/2.20 alpha87 [318, 4] (w:1, o:359, a:1, s:1, b:1),
% 1.83/2.20 alpha88 [319, 4] (w:1, o:360, a:1, s:1, b:1),
% 1.83/2.20 alpha89 [320, 4] (w:1, o:361, a:1, s:1, b:1),
% 1.83/2.20 alpha90 [321, 4] (w:1, o:362, a:1, s:1, b:1),
% 1.83/2.20 alpha91 [322, 4] (w:1, o:363, a:1, s:1, b:1),
% 1.83/2.20 alpha92 [323, 4] (w:1, o:364, a:1, s:1, b:1),
% 1.83/2.20 alpha93 [324, 4] (w:1, o:365, a:1, s:1, b:1),
% 1.83/2.20 alpha94 [325, 4] (w:1, o:366, a:1, s:1, b:1),
% 1.83/2.20 alpha95 [326, 4] (w:1, o:367, a:1, s:1, b:1),
% 9.03/9.38 alpha96 [327, 4] (w:1, o:368, a:1, s:1, b:1),
% 9.03/9.38 alpha97 [328, 4] (w:1, o:369, a:1, s:1, b:1),
% 9.03/9.38 alpha98 [329, 4] (w:1, o:370, a:1, s:1, b:1),
% 9.03/9.38 alpha99 [330, 4] (w:1, o:371, a:1, s:1, b:1),
% 9.03/9.38 alpha100 [331, 4] (w:1, o:372, a:1, s:1, b:1),
% 9.03/9.38 alpha101 [332, 4] (w:1, o:373, a:1, s:1, b:1),
% 9.03/9.38 alpha102 [333, 3] (w:1, o:279, a:1, s:1, b:1),
% 9.03/9.38 alpha103 [334, 2] (w:1, o:252, a:1, s:1, b:1),
% 9.03/9.38 alpha104 [335, 3] (w:1, o:280, a:1, s:1, b:1),
% 9.03/9.38 skol1 [336, 2] (w:1, o:257, a:1, s:1, b:1),
% 9.03/9.38 skol2 [337, 0] (w:1, o:14, a:1, s:1, b:1),
% 9.03/9.38 skol3 [338, 0] (w:1, o:19, a:1, s:1, b:1),
% 9.03/9.38 skol4 [339, 1] (w:1, o:132, a:1, s:1, b:1),
% 9.03/9.38 skol5 [340, 3] (w:1, o:309, a:1, s:1, b:1),
% 9.03/9.38 skol6 [341, 2] (w:1, o:258, a:1, s:1, b:1),
% 9.03/9.38 skol7 [342, 2] (w:1, o:259, a:1, s:1, b:1),
% 9.03/9.38 skol8 [343, 2] (w:1, o:260, a:1, s:1, b:1),
% 9.03/9.38 skol9 [344, 2] (w:1, o:261, a:1, s:1, b:1),
% 9.03/9.38 skol10 [345, 1] (w:1, o:133, a:1, s:1, b:1),
% 9.03/9.38 skol11 [346, 3] (w:1, o:310, a:1, s:1, b:1),
% 9.03/9.38 skol12 [347, 3] (w:1, o:311, a:1, s:1, b:1),
% 9.03/9.38 skol13 [348, 3] (w:1, o:312, a:1, s:1, b:1),
% 9.03/9.38 skol14 [349, 3] (w:1, o:313, a:1, s:1, b:1),
% 9.03/9.38 skol15 [350, 1] (w:1, o:134, a:1, s:1, b:1),
% 9.03/9.38 skol16 [351, 1] (w:1, o:135, a:1, s:1, b:1),
% 9.03/9.38 skol17 [352, 1] (w:1, o:136, a:1, s:1, b:1),
% 9.03/9.38 skol18 [353, 1] (w:1, o:137, a:1, s:1, b:1),
% 9.03/9.38 skol19 [354, 1] (w:1, o:138, a:1, s:1, b:1),
% 9.03/9.38 skol20 [355, 0] (w:1, o:15, a:1, s:1, b:1),
% 9.03/9.38 skol21 [356, 1] (w:1, o:139, a:1, s:1, b:1),
% 9.03/9.38 skol22 [357, 1] (w:1, o:140, a:1, s:1, b:1),
% 9.03/9.38 skol23 [358, 1] (w:1, o:141, a:1, s:1, b:1),
% 9.03/9.38 skol24 [359, 0] (w:1, o:16, a:1, s:1, b:1),
% 9.03/9.38 skol25 [360, 0] (w:1, o:17, a:1, s:1, b:1),
% 9.03/9.38 skol26 [361, 0] (w:1, o:18, a:1, s:1, b:1),
% 9.03/9.38 skol27 [362, 1] (w:1, o:142, a:1, s:1, b:1),
% 9.03/9.38 skol28 [363, 1] (w:1, o:143, a:1, s:1, b:1),
% 9.03/9.38 skol29 [364, 1] (w:1, o:144, a:1, s:1, b:1),
% 9.03/9.38 skol30 [365, 1] (w:1, o:129, a:1, s:1, b:1),
% 9.03/9.38 skol31 [366, 1] (w:1, o:130, a:1, s:1, b:1),
% 9.03/9.38 skol32 [367, 2] (w:1, o:262, a:1, s:1, b:1),
% 9.03/9.38 skol33 [368, 2] (w:1, o:263, a:1, s:1, b:1),
% 9.03/9.38 skol34 [369, 1] (w:1, o:131, a:1, s:1, b:1),
% 9.03/9.38 skol35 [370, 3] (w:1, o:314, a:1, s:1, b:1),
% 9.03/9.38 skol36 [371, 3] (w:1, o:315, a:1, s:1, b:1),
% 9.03/9.38 skol37 [372, 2] (w:1, o:264, a:1, s:1, b:1),
% 9.03/9.38 skol38 [373, 2] (w:1, o:265, a:1, s:1, b:1).
% 9.03/9.38
% 9.03/9.38
% 9.03/9.38 Starting Search:
% 9.03/9.38
% 9.03/9.38 *** allocated 170857 integers for clauses
% 9.03/9.38
% 9.03/9.38 Intermediate Status:
% 9.03/9.38 Generated: 2664
% 9.03/9.38 Kept: 2051
% 9.03/9.38 Inuse: 0
% 9.03/9.38 Deleted: 0
% 9.03/9.38 Deletedinuse: 0
% 9.03/9.38
% 9.03/9.38 Resimplifying inuse:
% 9.03/9.38 Done
% 9.03/9.38
% 9.03/9.38 *** allocated 256285 integers for clauses
% 9.03/9.38 Resimplifying inuse:
% 9.03/9.38 Done
% 9.03/9.38
% 9.03/9.38 *** allocated 170857 integers for termspace/termends
% 9.03/9.38
% 9.03/9.38 Intermediate Status:
% 9.03/9.38 Generated: 5961
% 9.03/9.38 Kept: 4062
% 9.03/9.38 Inuse: 269
% 9.03/9.38 Deleted: 13
% 9.03/9.38 Deletedinuse: 0
% 9.03/9.38
% 9.03/9.38 Resimplifying inuse:
% 9.03/9.38 Done
% 9.03/9.38
% 9.03/9.38 *** allocated 384427 integers for clauses
% 9.03/9.38 Resimplifying inuse:
% 9.03/9.38 Done
% 9.03/9.38
% 9.03/9.38 *** allocated 256285 integers for termspace/termends
% 9.03/9.38
% 9.03/9.38 Intermediate Status:
% 9.03/9.38 Generated: 11760
% 9.03/9.38 Kept: 6525
% 9.03/9.39 Inuse: 331
% 9.03/9.39 Deleted: 15
% 9.03/9.39 Deletedinuse: 0
% 9.03/9.39
% 9.03/9.39 Resimplifying inuse:
% 9.03/9.39 Done
% 9.03/9.39
% 9.03/9.39 *** allocated 576640 integers for clauses
% 9.03/9.39 Resimplifying inuse:
% 9.03/9.39 Done
% 9.03/9.39
% 9.03/9.39
% 9.03/9.39 Intermediate Status:
% 9.03/9.39 Generated: 18092
% 9.03/9.39 Kept: 8526
% 9.03/9.39 Inuse: 359
% 9.03/9.39 Deleted: 16
% 9.03/9.39 Deletedinuse: 1
% 9.03/9.39
% 9.03/9.39 Resimplifying inuse:
% 9.03/9.39 Done
% 9.03/9.39
% 9.03/9.39 Resimplifying inuse:
% 9.03/9.39 Done
% 9.03/9.39
% 9.03/9.39
% 9.03/9.39 Intermediate Status:
% 9.03/9.39 Generated: 22619
% 9.03/9.39 Kept: 10551
% 9.03/9.39 Inuse: 416
% 9.03/9.39 Deleted: 16
% 9.03/9.39 Deletedinuse: 1
% 9.03/9.39
% 9.03/9.39 *** allocated 864960 integers for clauses
% 9.03/9.39 Resimplifying inuse:
% 9.03/9.39 Done
% 9.03/9.39
% 9.03/9.39 *** allocated 384427 integers for termspace/termends
% 9.03/9.39 Resimplifying inuse:
% 9.03/9.39 Done
% 9.03/9.39
% 9.03/9.39
% 9.03/9.39 Intermediate Status:
% 9.03/9.39 Generated: 28788
% 9.03/9.39 Kept: 13375
% 9.03/9.39 Inuse: 480
% 9.03/9.39 Deleted: 17
% 9.03/9.39 Deletedinuse: 1
% 9.03/9.39
% 9.03/9.39 Resimplifying inuse:
% 9.03/9.39 Done
% 9.03/9.39
% 9.03/9.39 Resimplifying inuse:
% 9.03/9.39 Done
% 9.03/9.39
% 9.03/9.39
% 9.03/9.39 Intermediate Status:
% 9.03/9.39 Generated: 35764
% 9.03/9.39 Kept: 15751
% 9.03/9.39 Inuse: 529
% 9.03/9.39 Deleted: 24
% 9.03/9.39 Deletedinuse: 2
% 9.03/9.39
% 9.03/9.39 Resimplifying inuse:
% 9.03/9.39 Done
% 9.03/9.39
% 9.03/9.39 Resimplifying inuse:
% 9.03/9.39 Done
% 9.03/9.39
% 9.03/9.39 *** allocated 1297440 integers for clauses
% 9.03/9.39
% 9.03/9.39 Intermediate Status:
% 9.03/9.39 Generated: 40985
% 9.03/9.39 Kept: 17774
% 40.81/41.14 Inuse: 596
% 40.81/41.14 Deleted: 30
% 40.81/41.14 Deletedinuse: 2
% 40.81/41.14
% 40.81/41.14 Resimplifying inuse:
% 40.81/41.14 Done
% 40.81/41.14
% 40.81/41.14 Resimplifying inuse:
% 40.81/41.14 Done
% 40.81/41.14
% 40.81/41.14 *** allocated 576640 integers for termspace/termends
% 40.81/41.14
% 40.81/41.14 Intermediate Status:
% 40.81/41.14 Generated: 47912
% 40.81/41.14 Kept: 20334
% 40.81/41.14 Inuse: 608
% 40.81/41.14 Deleted: 30
% 40.81/41.14 Deletedinuse: 2
% 40.81/41.14
% 40.81/41.14 Resimplifying inuse:
% 40.81/41.14 Done
% 40.81/41.14
% 40.81/41.14 Resimplifying clauses:
% 40.81/41.14 Done
% 40.81/41.14
% 40.81/41.14 Resimplifying inuse:
% 40.81/41.14 Done
% 40.81/41.14
% 40.81/41.14
% 40.81/41.14 Intermediate Status:
% 40.81/41.14 Generated: 55684
% 40.81/41.14 Kept: 24698
% 40.81/41.14 Inuse: 668
% 40.81/41.14 Deleted: 221
% 40.81/41.14 Deletedinuse: 2
% 40.81/41.14
% 40.81/41.14 Resimplifying inuse:
% 40.81/41.14 Done
% 40.81/41.14
% 40.81/41.14
% 40.81/41.14 Intermediate Status:
% 40.81/41.14 Generated: 58878
% 40.81/41.14 Kept: 27308
% 40.81/41.14 Inuse: 673
% 40.81/41.14 Deleted: 221
% 40.81/41.14 Deletedinuse: 2
% 40.81/41.14
% 40.81/41.14 Resimplifying inuse:
% 40.81/41.14 Done
% 40.81/41.14
% 40.81/41.14 *** allocated 1946160 integers for clauses
% 40.81/41.14
% 40.81/41.14 Intermediate Status:
% 40.81/41.14 Generated: 62506
% 40.81/41.14 Kept: 29563
% 40.81/41.14 Inuse: 693
% 40.81/41.14 Deleted: 221
% 40.81/41.14 Deletedinuse: 2
% 40.81/41.14
% 40.81/41.14 Resimplifying inuse:
% 40.81/41.14 Done
% 40.81/41.14
% 40.81/41.14 *** allocated 864960 integers for termspace/termends
% 40.81/41.14 Resimplifying inuse:
% 40.81/41.14 Done
% 40.81/41.14
% 40.81/41.14
% 40.81/41.14 Intermediate Status:
% 40.81/41.14 Generated: 65651
% 40.81/41.14 Kept: 31589
% 40.81/41.14 Inuse: 708
% 40.81/41.14 Deleted: 221
% 40.81/41.14 Deletedinuse: 2
% 40.81/41.14
% 40.81/41.14 Resimplifying inuse:
% 40.81/41.14 Done
% 40.81/41.14
% 40.81/41.14
% 40.81/41.14 Intermediate Status:
% 40.81/41.14 Generated: 70897
% 40.81/41.14 Kept: 34792
% 40.81/41.14 Inuse: 743
% 40.81/41.14 Deleted: 221
% 40.81/41.14 Deletedinuse: 2
% 40.81/41.14
% 40.81/41.14 Resimplifying inuse:
% 40.81/41.14 Done
% 40.81/41.14
% 40.81/41.14 Resimplifying inuse:
% 40.81/41.14 Done
% 40.81/41.14
% 40.81/41.14
% 40.81/41.14 Intermediate Status:
% 40.81/41.14 Generated: 75569
% 40.81/41.14 Kept: 36808
% 40.81/41.14 Inuse: 779
% 40.81/41.14 Deleted: 221
% 40.81/41.14 Deletedinuse: 2
% 40.81/41.14
% 40.81/41.14 Resimplifying inuse:
% 40.81/41.14 Done
% 40.81/41.14
% 40.81/41.14 Resimplifying inuse:
% 40.81/41.14 Done
% 40.81/41.14
% 40.81/41.14
% 40.81/41.14 Intermediate Status:
% 40.81/41.14 Generated: 80184
% 40.81/41.14 Kept: 38837
% 40.81/41.14 Inuse: 808
% 40.81/41.14 Deleted: 221
% 40.81/41.14 Deletedinuse: 2
% 40.81/41.14
% 40.81/41.14 Resimplifying inuse:
% 40.81/41.14 Done
% 40.81/41.14
% 40.81/41.14 Resimplifying inuse:
% 40.81/41.14 Done
% 40.81/41.14
% 40.81/41.14 Resimplifying clauses:
% 40.81/41.14 Done
% 40.81/41.14
% 40.81/41.14
% 40.81/41.14 Intermediate Status:
% 40.81/41.14 Generated: 84354
% 40.81/41.14 Kept: 40860
% 40.81/41.14 Inuse: 853
% 40.81/41.14 Deleted: 315
% 40.81/41.14 Deletedinuse: 2
% 40.81/41.14
% 40.81/41.14 Resimplifying inuse:
% 40.81/41.14 Done
% 40.81/41.14
% 40.81/41.14 Resimplifying inuse:
% 40.81/41.14 Done
% 40.81/41.14
% 40.81/41.14 *** allocated 2919240 integers for clauses
% 40.81/41.14
% 40.81/41.14 Intermediate Status:
% 40.81/41.14 Generated: 88592
% 40.81/41.14 Kept: 42899
% 40.81/41.14 Inuse: 897
% 40.81/41.14 Deleted: 315
% 40.81/41.14 Deletedinuse: 2
% 40.81/41.14
% 40.81/41.14 Resimplifying inuse:
% 40.81/41.14 Done
% 40.81/41.14
% 40.81/41.14 Resimplifying inuse:
% 40.81/41.14 Done
% 40.81/41.14
% 40.81/41.14
% 40.81/41.14 Intermediate Status:
% 40.81/41.14 Generated: 93749
% 40.81/41.14 Kept: 45120
% 40.81/41.14 Inuse: 928
% 40.81/41.14 Deleted: 316
% 40.81/41.14 Deletedinuse: 3
% 40.81/41.14
% 40.81/41.14 Resimplifying inuse:
% 40.81/41.14 Done
% 40.81/41.14
% 40.81/41.14 Resimplifying inuse:
% 40.81/41.14 Done
% 40.81/41.14
% 40.81/41.14 *** allocated 1297440 integers for termspace/termends
% 40.81/41.14
% 40.81/41.14 Intermediate Status:
% 40.81/41.14 Generated: 101058
% 40.81/41.14 Kept: 47726
% 40.81/41.14 Inuse: 948
% 40.81/41.14 Deleted: 317
% 40.81/41.14 Deletedinuse: 4
% 40.81/41.14
% 40.81/41.14 Resimplifying inuse:
% 40.81/41.14 Done
% 40.81/41.14
% 40.81/41.14 Resimplifying inuse:
% 40.81/41.14 Done
% 40.81/41.14
% 40.81/41.14
% 40.81/41.14 Intermediate Status:
% 40.81/41.14 Generated: 106131
% 40.81/41.14 Kept: 49890
% 40.81/41.14 Inuse: 973
% 40.81/41.14 Deleted: 317
% 40.81/41.14 Deletedinuse: 4
% 40.81/41.14
% 40.81/41.14 Resimplifying inuse:
% 40.81/41.14 Done
% 40.81/41.14
% 40.81/41.14
% 40.81/41.14 Intermediate Status:
% 40.81/41.14 Generated: 109378
% 40.81/41.14 Kept: 52363
% 40.81/41.14 Inuse: 978
% 40.81/41.14 Deleted: 317
% 40.81/41.14 Deletedinuse: 4
% 40.81/41.14
% 40.81/41.14 Resimplifying inuse:
% 40.81/41.14 Done
% 40.81/41.14
% 40.81/41.14 Resimplifying inuse:
% 40.81/41.14 Done
% 40.81/41.14
% 40.81/41.14
% 40.81/41.14 Intermediate Status:
% 40.81/41.14 Generated: 113768
% 40.81/41.14 Kept: 54365
% 40.81/41.14 Inuse: 1003
% 40.81/41.14 Deleted: 317
% 40.81/41.14 Deletedinuse: 4
% 40.81/41.14
% 40.81/41.14 Resimplifying inuse:
% 40.81/41.14 Done
% 40.81/41.14
% 40.81/41.14 Resimplifying inuse:
% 40.81/41.14 Done
% 40.81/41.14
% 40.81/41.14
% 40.81/41.14 Intermediate Status:
% 40.81/41.14 Generated: 126356
% 40.81/41.14 Kept: 58015
% 40.81/41.14 Inuse: 1017
% 40.81/41.14 Deleted: 319
% 40.81/41.14 Deletedinuse: 4
% 40.81/41.14
% 40.81/41.14 Resimplifying inuse:
% 40.81/41.14 Done
% 40.81/41.14
% 40.81/41.14 Resimplifying inuse:
% 40.81/41.14 Done
% 40.81/41.14
% 40.81/41.14
% 40.81/41.14 Intermediate Status:
% 40.81/41.14 Generated: 134153
% 40.81/41.14 Kept: 60040
% 40.81/41.14 Inuse: 1046
% 40.81/41.14 Deleted: 319
% 40.81/41.14 Deletedinuse: 4
% 40.81/41.14
% 40.81/41.14 Resimplifying inuse:
% 40.81/41.14 Done
% 40.81/41.14
% 40.81/41.14 Resimplifying clauses:
% 40.81/41.14 Done
% 40.81/41.14
% 40.81/41.14
% 40.81/41.14 Intermediate Status:
% 40.81/41.14 Generated: 142991
% 40.81/41.14 Kept: 62325
% 40.81/41.14 Inuse: 1066
% 40.81/41.14 Deleted: 826
% 40.81/41.14 Deletedinuse: 4
% 40.81/41.14
% 40.81/41.14 Resimplifying inuse:
% 40.81/41.14 Done
% 40.81/41.14
% 40.81/41.14 Resimplifying inuse:
% 40.81/41.14 Done
% 40.81/41.14
% 40.81/41.14 *** allocated 4378860 integers for clauses
% 40.81/41.14
% 40.81/41.14 Intermediate Status:
% 40.81/41.14 Generated: 157494
% 40.81/41.14 Kept: 65727
% 40.81/41.14 Inuse: 1076
% 40.81/41.14 Deleted: 826
% 40.81/41.14 Deletedinuse: 4
% 40.81/41.14
% 40.81/41.14 Resimplifying inuse:
% 40.81/41.14 Done
% 40.81/41.14
% 40.81/41.14 *** allocated 1946160 integers for termspace/termends
% 40.81/41.14 Resimplifying inuse:
% 40.81/41.14 Done
% 40.81/41.14
% 40.81/41.14
% 40.81/41.14 Intermediate Status:
% 40.81/41.14 Generated: 164591
% 40.81/41.14 Kept: 67841
% 40.81/41.14 Inuse: 1136
% 40.81/41.14 Deleted: 826
% 40.81/41.14 Deletedinuse: 4
% 40.81/41.14
% 40.81/41.14 Resimplifying inuse:
% 40.81/41.14 Done
% 40.81/41.14
% 40.81/41.14 Resimplifying inuse:
% 40.81/41.14 Done
% 40.81/41.14
% 40.81/41.14
% 40.81/41.14 Intermediate Status:
% 40.81/41.14 Generated: 170216
% 40.81/41.14 Kept: 69849
% 40.81/41.14 Inuse: 1176
% 40.81/41.14 Deleted: 826
% 40.81/41.14 Deletedinuse: 4
% 40.81/41.14
% 40.81/41.14 Resimplifying inuse:
% 40.81/41.14 Done
% 40.81/41.14
% 40.81/41.14 Resimplifying inuse:
% 40.81/41.14 Done
% 40.81/41.14
% 40.81/41.14
% 40.81/41.14 Intermediate Status:
% 40.81/41.14 Generated: 176138
% 40.81/41.14 Kept: 71964
% 40.81/41.14 Inuse: 1216
% 40.81/41.14 Deleted: 826
% 40.81/41.14 Deletedinuse: 4
% 40.81/41.14
% 40.81/41.14 Resimplifying inuse:
% 112.02/112.41 Done
% 112.02/112.41
% 112.02/112.41 Resimplifying inuse:
% 112.02/112.41 Done
% 112.02/112.41
% 112.02/112.41
% 112.02/112.41 Intermediate Status:
% 112.02/112.41 Generated: 182414
% 112.02/112.41 Kept: 74192
% 112.02/112.41 Inuse: 1255
% 112.02/112.41 Deleted: 827
% 112.02/112.41 Deletedinuse: 4
% 112.02/112.41
% 112.02/112.41 Resimplifying inuse:
% 112.02/112.41 Done
% 112.02/112.41
% 112.02/112.41
% 112.02/112.41 Intermediate Status:
% 112.02/112.41 Generated: 187077
% 112.02/112.41 Kept: 76484
% 112.02/112.41 Inuse: 1265
% 112.02/112.41 Deleted: 827
% 112.02/112.41 Deletedinuse: 4
% 112.02/112.41
% 112.02/112.41 Resimplifying inuse:
% 112.02/112.41 Done
% 112.02/112.41
% 112.02/112.41 Resimplifying inuse:
% 112.02/112.41 Done
% 112.02/112.41
% 112.02/112.41
% 112.02/112.41 Intermediate Status:
% 112.02/112.41 Generated: 193115
% 112.02/112.41 Kept: 78529
% 112.02/112.41 Inuse: 1304
% 112.02/112.41 Deleted: 827
% 112.02/112.41 Deletedinuse: 4
% 112.02/112.41
% 112.02/112.41 Resimplifying inuse:
% 112.02/112.41 Done
% 112.02/112.41
% 112.02/112.41 Resimplifying inuse:
% 112.02/112.41 Done
% 112.02/112.41
% 112.02/112.41 Resimplifying clauses:
% 112.02/112.41 Done
% 112.02/112.41
% 112.02/112.41
% 112.02/112.41 Intermediate Status:
% 112.02/112.41 Generated: 199993
% 112.02/112.41 Kept: 80561
% 112.02/112.41 Inuse: 1330
% 112.02/112.41 Deleted: 1078
% 112.02/112.41 Deletedinuse: 4
% 112.02/112.41
% 112.02/112.41 Resimplifying inuse:
% 112.02/112.41 Done
% 112.02/112.41
% 112.02/112.41 Resimplifying inuse:
% 112.02/112.41 Done
% 112.02/112.41
% 112.02/112.41
% 112.02/112.41 Intermediate Status:
% 112.02/112.41 Generated: 206071
% 112.02/112.41 Kept: 82585
% 112.02/112.41 Inuse: 1367
% 112.02/112.41 Deleted: 1078
% 112.02/112.41 Deletedinuse: 4
% 112.02/112.41
% 112.02/112.41 Resimplifying inuse:
% 112.02/112.41 Done
% 112.02/112.41
% 112.02/112.41 Resimplifying inuse:
% 112.02/112.41 Done
% 112.02/112.41
% 112.02/112.41
% 112.02/112.41 Intermediate Status:
% 112.02/112.41 Generated: 213643
% 112.02/112.41 Kept: 84613
% 112.02/112.41 Inuse: 1413
% 112.02/112.41 Deleted: 1078
% 112.02/112.41 Deletedinuse: 4
% 112.02/112.41
% 112.02/112.41 Resimplifying inuse:
% 112.02/112.41 Done
% 112.02/112.41
% 112.02/112.41 Resimplifying inuse:
% 112.02/112.41 Done
% 112.02/112.41
% 112.02/112.41
% 112.02/112.41 Intermediate Status:
% 112.02/112.41 Generated: 220987
% 112.02/112.41 Kept: 86615
% 112.02/112.41 Inuse: 1452
% 112.02/112.41 Deleted: 1078
% 112.02/112.41 Deletedinuse: 4
% 112.02/112.41
% 112.02/112.41 Resimplifying inuse:
% 112.02/112.41 Done
% 112.02/112.41
% 112.02/112.41 Resimplifying inuse:
% 112.02/112.41 Done
% 112.02/112.41
% 112.02/112.41
% 112.02/112.41 Intermediate Status:
% 112.02/112.41 Generated: 228446
% 112.02/112.41 Kept: 88711
% 112.02/112.41 Inuse: 1485
% 112.02/112.41 Deleted: 1078
% 112.02/112.41 Deletedinuse: 4
% 112.02/112.41
% 112.02/112.41 Resimplifying inuse:
% 112.02/112.41 Done
% 112.02/112.41
% 112.02/112.41
% 112.02/112.41 Intermediate Status:
% 112.02/112.41 Generated: 233857
% 112.02/112.41 Kept: 91030
% 112.02/112.41 Inuse: 1495
% 112.02/112.41 Deleted: 1078
% 112.02/112.41 Deletedinuse: 4
% 112.02/112.41
% 112.02/112.41 Resimplifying inuse:
% 112.02/112.41 Done
% 112.02/112.41
% 112.02/112.41
% 112.02/112.41 Intermediate Status:
% 112.02/112.41 Generated: 239926
% 112.02/112.41 Kept: 93442
% 112.02/112.41 Inuse: 1510
% 112.02/112.41 Deleted: 1078
% 112.02/112.41 Deletedinuse: 4
% 112.02/112.41
% 112.02/112.41 Resimplifying inuse:
% 112.02/112.41 Done
% 112.02/112.41
% 112.02/112.41 Resimplifying inuse:
% 112.02/112.41 Done
% 112.02/112.41
% 112.02/112.41 *** allocated 2919240 integers for termspace/termends
% 112.02/112.41
% 112.02/112.41 Intermediate Status:
% 112.02/112.41 Generated: 248637
% 112.02/112.41 Kept: 95469
% 112.02/112.41 Inuse: 1559
% 112.02/112.41 Deleted: 1078
% 112.02/112.41 Deletedinuse: 4
% 112.02/112.41
% 112.02/112.41 Resimplifying inuse:
% 112.02/112.41 Done
% 112.02/112.41
% 112.02/112.41 Resimplifying inuse:
% 112.02/112.41 Done
% 112.02/112.41
% 112.02/112.41
% 112.02/112.41 Intermediate Status:
% 112.02/112.41 Generated: 255834
% 112.02/112.41 Kept: 97487
% 112.02/112.41 Inuse: 1598
% 112.02/112.41 Deleted: 1078
% 112.02/112.41 Deletedinuse: 4
% 112.02/112.41
% 112.02/112.41 Resimplifying inuse:
% 112.02/112.41 Done
% 112.02/112.41
% 112.02/112.41 *** allocated 6568290 integers for clauses
% 112.02/112.41 Resimplifying inuse:
% 112.02/112.41 Done
% 112.02/112.41
% 112.02/112.41
% 112.02/112.41 Intermediate Status:
% 112.02/112.41 Generated: 262863
% 112.02/112.41 Kept: 99495
% 112.02/112.41 Inuse: 1643
% 112.02/112.41 Deleted: 1078
% 112.02/112.41 Deletedinuse: 4
% 112.02/112.41
% 112.02/112.41 Resimplifying inuse:
% 112.02/112.41 Done
% 112.02/112.41
% 112.02/112.41 Resimplifying clauses:
% 112.02/112.41 Done
% 112.02/112.41
% 112.02/112.41 Resimplifying inuse:
% 112.02/112.41 Done
% 112.02/112.41
% 112.02/112.41
% 112.02/112.41 Intermediate Status:
% 112.02/112.41 Generated: 269840
% 112.02/112.41 Kept: 101510
% 112.02/112.41 Inuse: 1689
% 112.02/112.41 Deleted: 1310
% 112.02/112.41 Deletedinuse: 4
% 112.02/112.41
% 112.02/112.41 Resimplifying inuse:
% 112.02/112.41 Done
% 112.02/112.41
% 112.02/112.41 Resimplifying inuse:
% 112.02/112.41 Done
% 112.02/112.41
% 112.02/112.41
% 112.02/112.41 Intermediate Status:
% 112.02/112.41 Generated: 278995
% 112.02/112.41 Kept: 105135
% 112.02/112.41 Inuse: 1715
% 112.02/112.41 Deleted: 1310
% 112.02/112.41 Deletedinuse: 4
% 112.02/112.41
% 112.02/112.41 Resimplifying inuse:
% 112.02/112.41 Done
% 112.02/112.41
% 112.02/112.41
% 112.02/112.41 Intermediate Status:
% 112.02/112.41 Generated: 284419
% 112.02/112.41 Kept: 107552
% 112.02/112.41 Inuse: 1720
% 112.02/112.41 Deleted: 1310
% 112.02/112.41 Deletedinuse: 4
% 112.02/112.41
% 112.02/112.41 Resimplifying inuse:
% 112.02/112.41 Done
% 112.02/112.41
% 112.02/112.41
% 112.02/112.41 Intermediate Status:
% 112.02/112.41 Generated: 301712
% 112.02/112.41 Kept: 111050
% 112.02/112.41 Inuse: 1725
% 112.02/112.41 Deleted: 1310
% 112.02/112.41 Deletedinuse: 4
% 112.02/112.41
% 112.02/112.41 Resimplifying inuse:
% 112.02/112.41 Done
% 112.02/112.41
% 112.02/112.41 Resimplifying inuse:
% 112.02/112.41 Done
% 112.02/112.41
% 112.02/112.41
% 112.02/112.41 Intermediate Status:
% 112.02/112.41 Generated: 315226
% 112.02/112.41 Kept: 116007
% 112.02/112.41 Inuse: 1740
% 112.02/112.41 Deleted: 1310
% 112.02/112.41 Deletedinuse: 4
% 112.02/112.41
% 112.02/112.41 Resimplifying inuse:
% 112.02/112.41 Done
% 112.02/112.41
% 112.02/112.41 Resimplifying inuse:
% 112.02/112.41 Done
% 112.02/112.41
% 112.02/112.41
% 112.02/112.41 Intermediate Status:
% 112.02/112.41 Generated: 320676
% 112.02/112.41 Kept: 118044
% 112.02/112.41 Inuse: 1777
% 112.02/112.41 Deleted: 1310
% 112.02/112.41 Deletedinuse: 4
% 112.02/112.41
% 112.02/112.41
% 112.02/112.41 Intermediate Status:
% 112.02/112.41 Generated: 326509
% 112.02/112.41 Kept: 121727
% 112.02/112.41 Inuse: 1780
% 112.02/112.41 Deleted: 1310
% 112.02/112.41 Deletedinuse: 4
% 112.02/112.41
% 112.02/112.41 Resimplifying inuse:
% 112.02/112.41 Done
% 112.02/112.41
% 112.02/112.41 Resimplifying clauses:
% 112.02/112.41 Done
% 112.02/112.41
% 112.02/112.41 Resimplifying inuse:
% 112.02/112.41 Done
% 112.02/112.41
% 112.02/112.41
% 112.02/112.41 Intermediate Status:
% 112.02/112.41 Generated: 336052
% 112.02/112.41 Kept: 124073
% 112.02/112.41 Inuse: 1815
% 112.02/112.41 Deleted: 1438
% 112.02/112.41 Deletedinuse: 4
% 112.02/112.41
% 112.02/112.41 Resimplifying inuse:
% 112.02/112.41 Done
% 112.02/112.41
% 112.02/112.41 Resimplifying inuse:
% 112.02/112.41 Done
% 112.02/112.41
% 112.02/112.41
% 112.02/112.41 Intermediate Status:
% 112.02/112.41 Generated: 342770
% 112.02/112.41 Kept: 126083
% 112.02/112.41 Inuse: 1833
% 112.02/112.41 Deleted: 1438
% 112.02/112.41 Deletedinuse: 4
% 112.02/112.41
% 112.02/112.41 Resimplifying inuse:
% 112.02/112.41 Done
% 112.02/112.41
% 112.02/112.41 Resimplifying inuse:
% 112.02/112.41 Done
% 112.02/112.41
% 112.02/112.41
% 112.02/112.41 Intermediate Status:
% 112.02/112.41 Generated: 349032
% 112.02/112.41 Kept: 128088
% 112.02/112.41 Inuse: 1858
% 112.02/112.41 Deleted: 1438
% 112.02/112.41 Deletedinuse: 4
% 112.02/112.41
% 112.02/112.41 Resimplifying inuse:
% 112.02/112.41 Done
% 112.02/112.41
% 112.02/112.41 Resimplifying inuse:
% 112.02/112.41 Done
% 112.02/112.41
% 112.02/112.41
% 112.02/112.41 Intermediate Status:
% 112.02/112.41 Generated: 355633
% 112.02/112.41 Kept: 130299
% 112.02/112.41 Inuse: 1880
% 112.02/112.41 Deleted: 1438
% 231.65/232.03 Deletedinuse: 4
% 231.65/232.03
% 231.65/232.03 Resimplifying inuse:
% 231.65/232.03 Done
% 231.65/232.03
% 231.65/232.03 Resimplifying inuse:
% 231.65/232.03 Done
% 231.65/232.03
% 231.65/232.03
% 231.65/232.03 Intermediate Status:
% 231.65/232.03 Generated: 361621
% 231.65/232.03 Kept: 132339
% 231.65/232.03 Inuse: 1901
% 231.65/232.03 Deleted: 1438
% 231.65/232.03 Deletedinuse: 4
% 231.65/232.03
% 231.65/232.03 Resimplifying inuse:
% 231.65/232.03 Done
% 231.65/232.03
% 231.65/232.03 Resimplifying inuse:
% 231.65/232.03 Done
% 231.65/232.03
% 231.65/232.03
% 231.65/232.03 Intermediate Status:
% 231.65/232.03 Generated: 367459
% 231.65/232.03 Kept: 134387
% 231.65/232.03 Inuse: 1921
% 231.65/232.03 Deleted: 1438
% 231.65/232.03 Deletedinuse: 4
% 231.65/232.03
% 231.65/232.03 Resimplifying inuse:
% 231.65/232.03 Done
% 231.65/232.03
% 231.65/232.03 Resimplifying inuse:
% 231.65/232.03 Done
% 231.65/232.03
% 231.65/232.03
% 231.65/232.03 Intermediate Status:
% 231.65/232.03 Generated: 373069
% 231.65/232.03 Kept: 136413
% 231.65/232.03 Inuse: 1939
% 231.65/232.03 Deleted: 1438
% 231.65/232.03 Deletedinuse: 4
% 231.65/232.03
% 231.65/232.03 *** allocated 4378860 integers for termspace/termends
% 231.65/232.03 Resimplifying inuse:
% 231.65/232.03 Done
% 231.65/232.03
% 231.65/232.03
% 231.65/232.03 Intermediate Status:
% 231.65/232.03 Generated: 378543
% 231.65/232.03 Kept: 138416
% 231.65/232.03 Inuse: 1960
% 231.65/232.03 Deleted: 1438
% 231.65/232.03 Deletedinuse: 4
% 231.65/232.03
% 231.65/232.03 Resimplifying inuse:
% 231.65/232.03 Done
% 231.65/232.03
% 231.65/232.03 Resimplifying inuse:
% 231.65/232.03 Done
% 231.65/232.03
% 231.65/232.03
% 231.65/232.03 Intermediate Status:
% 231.65/232.03 Generated: 384781
% 231.65/232.03 Kept: 140520
% 231.65/232.03 Inuse: 1990
% 231.65/232.03 Deleted: 1439
% 231.65/232.03 Deletedinuse: 5
% 231.65/232.03
% 231.65/232.03 Resimplifying inuse:
% 231.65/232.03 Done
% 231.65/232.03
% 231.65/232.03 Resimplifying inuse:
% 231.65/232.03 Done
% 231.65/232.03
% 231.65/232.03 Resimplifying clauses:
% 231.65/232.03 Done
% 231.65/232.03
% 231.65/232.03
% 231.65/232.03 Intermediate Status:
% 231.65/232.03 Generated: 391896
% 231.65/232.03 Kept: 142533
% 231.65/232.03 Inuse: 2020
% 231.65/232.03 Deleted: 1728
% 231.65/232.03 Deletedinuse: 5
% 231.65/232.03
% 231.65/232.03 Resimplifying inuse:
% 231.65/232.03 Done
% 231.65/232.03
% 231.65/232.03 Resimplifying inuse:
% 231.65/232.03 Done
% 231.65/232.03
% 231.65/232.03
% 231.65/232.03 Intermediate Status:
% 231.65/232.03 Generated: 404497
% 231.65/232.03 Kept: 145760
% 231.65/232.03 Inuse: 2045
% 231.65/232.03 Deleted: 1728
% 231.65/232.03 Deletedinuse: 5
% 231.65/232.03
% 231.65/232.03 Resimplifying inuse:
% 231.65/232.03 Done
% 231.65/232.03
% 231.65/232.03 *** allocated 9852435 integers for clauses
% 231.65/232.03
% 231.65/232.03 Intermediate Status:
% 231.65/232.03 Generated: 419457
% 231.65/232.03 Kept: 153393
% 231.65/232.03 Inuse: 2055
% 231.65/232.03 Deleted: 1728
% 231.65/232.03 Deletedinuse: 5
% 231.65/232.03
% 231.65/232.03 Resimplifying inuse:
% 231.65/232.03 Done
% 231.65/232.03
% 231.65/232.03 Resimplifying inuse:
% 231.65/232.03 Done
% 231.65/232.03
% 231.65/232.03
% 231.65/232.03 Intermediate Status:
% 231.65/232.03 Generated: 427479
% 231.65/232.03 Kept: 155593
% 231.65/232.03 Inuse: 2085
% 231.65/232.03 Deleted: 1729
% 231.65/232.03 Deletedinuse: 6
% 231.65/232.03
% 231.65/232.03 Resimplifying inuse:
% 231.65/232.03 Done
% 231.65/232.03
% 231.65/232.03
% 231.65/232.03 Intermediate Status:
% 231.65/232.03 Generated: 438170
% 231.65/232.03 Kept: 161181
% 231.65/232.03 Inuse: 2105
% 231.65/232.03 Deleted: 1729
% 231.65/232.03 Deletedinuse: 6
% 231.65/232.03
% 231.65/232.03 Resimplifying inuse:
% 231.65/232.03 Done
% 231.65/232.03
% 231.65/232.03
% 231.65/232.03 Intermediate Status:
% 231.65/232.03 Generated: 444240
% 231.65/232.03 Kept: 164943
% 231.65/232.03 Inuse: 2109
% 231.65/232.03 Deleted: 1730
% 231.65/232.03 Deletedinuse: 6
% 231.65/232.03
% 231.65/232.03 Resimplifying inuse:
% 231.65/232.03 Done
% 231.65/232.03
% 231.65/232.03 Resimplifying clauses:
% 231.65/232.03 Done
% 231.65/232.03
% 231.65/232.03
% 231.65/232.03 Intermediate Status:
% 231.65/232.03 Generated: 451332
% 231.65/232.03 Kept: 168898
% 231.65/232.03 Inuse: 2119
% 231.65/232.03 Deleted: 2010
% 231.65/232.03 Deletedinuse: 6
% 231.65/232.03
% 231.65/232.03 Resimplifying inuse:
% 231.65/232.03 Done
% 231.65/232.03
% 231.65/232.03
% 231.65/232.03 Intermediate Status:
% 231.65/232.03 Generated: 457978
% 231.65/232.03 Kept: 173561
% 231.65/232.03 Inuse: 2124
% 231.65/232.03 Deleted: 2010
% 231.65/232.03 Deletedinuse: 6
% 231.65/232.03
% 231.65/232.03 Resimplifying inuse:
% 231.65/232.03 Done
% 231.65/232.03
% 231.65/232.03 Resimplifying inuse:
% 231.65/232.03 Done
% 231.65/232.03
% 231.65/232.03
% 231.65/232.03 Intermediate Status:
% 231.65/232.03 Generated: 470120
% 231.65/232.03 Kept: 179578
% 231.65/232.03 Inuse: 2153
% 231.65/232.03 Deleted: 2013
% 231.65/232.03 Deletedinuse: 8
% 231.65/232.03
% 231.65/232.03 Resimplifying inuse:
% 231.65/232.03 Done
% 231.65/232.03
% 231.65/232.03
% 231.65/232.03 Intermediate Status:
% 231.65/232.03 Generated: 477682
% 231.65/232.03 Kept: 184431
% 231.65/232.03 Inuse: 2158
% 231.65/232.03 Deleted: 2013
% 231.65/232.03 Deletedinuse: 8
% 231.65/232.03
% 231.65/232.03 Resimplifying inuse:
% 231.65/232.03 Done
% 231.65/232.03
% 231.65/232.03 Resimplifying clauses:
% 231.65/232.03 Done
% 231.65/232.03
% 231.65/232.03 Resimplifying inuse:
% 231.65/232.03 Done
% 231.65/232.03
% 231.65/232.03
% 231.65/232.03 Intermediate Status:
% 231.65/232.03 Generated: 490318
% 231.65/232.03 Kept: 190856
% 231.65/232.03 Inuse: 2188
% 231.65/232.03 Deleted: 2281
% 231.65/232.03 Deletedinuse: 8
% 231.65/232.03
% 231.65/232.03 Resimplifying inuse:
% 231.65/232.03 Done
% 231.65/232.03
% 231.65/232.03
% 231.65/232.03 Intermediate Status:
% 231.65/232.03 Generated: 496575
% 231.65/232.03 Kept: 194751
% 231.65/232.03 Inuse: 2192
% 231.65/232.03 Deleted: 2282
% 231.65/232.03 Deletedinuse: 8
% 231.65/232.03
% 231.65/232.03 Resimplifying inuse:
% 231.65/232.03 Done
% 231.65/232.03
% 231.65/232.03
% 231.65/232.03 Intermediate Status:
% 231.65/232.03 Generated: 503322
% 231.65/232.03 Kept: 198732
% 231.65/232.03 Inuse: 2202
% 231.65/232.03 Deleted: 2282
% 231.65/232.03 Deletedinuse: 8
% 231.65/232.03
% 231.65/232.03 Resimplifying inuse:
% 231.65/232.03 Done
% 231.65/232.03
% 231.65/232.03
% 231.65/232.03 Intermediate Status:
% 231.65/232.03 Generated: 510182
% 231.65/232.03 Kept: 203511
% 231.65/232.03 Inuse: 2207
% 231.65/232.03 Deleted: 2282
% 231.65/232.03 Deletedinuse: 8
% 231.65/232.03
% 231.65/232.03 Resimplifying inuse:
% 231.65/232.03 Done
% 231.65/232.03
% 231.65/232.03 Resimplifying inuse:
% 231.65/232.03 Done
% 231.65/232.03
% 231.65/232.03 Resimplifying clauses:
% 231.65/232.03 Done
% 231.65/232.03
% 231.65/232.03
% 231.65/232.03 Intermediate Status:
% 231.65/232.03 Generated: 517230
% 231.65/232.03 Kept: 205710
% 231.65/232.03 Inuse: 2241
% 231.65/232.03 Deleted: 2578
% 231.65/232.03 Deletedinuse: 8
% 231.65/232.03
% 231.65/232.03 Resimplifying inuse:
% 231.65/232.03 Done
% 231.65/232.03
% 231.65/232.03 Resimplifying inuse:
% 231.65/232.03 Done
% 231.65/232.03
% 231.65/232.03
% 231.65/232.03 Intermediate Status:
% 231.65/232.03 Generated: 523941
% 231.65/232.03 Kept: 207760
% 231.65/232.03 Inuse: 2266
% 231.65/232.03 Deleted: 2578
% 231.65/232.03 Deletedinuse: 8
% 231.65/232.03
% 231.65/232.03 Resimplifying inuse:
% 231.65/232.03 Done
% 231.65/232.03
% 231.65/232.03
% 231.65/232.03 Intermediate Status:
% 231.65/232.03 Generated: 533841
% 231.65/232.03 Kept: 210157
% 231.65/232.03 Inuse: 2276
% 231.65/232.03 Deleted: 2578
% 231.65/232.03 Deletedinuse: 8
% 231.65/232.03
% 231.65/232.03 Resimplifying inuse:
% 231.65/232.03 Done
% 231.65/232.03
% 231.65/232.03 Resimplifying inuse:
% 231.65/232.03 Done
% 231.65/232.03
% 231.65/232.03
% 231.65/232.03 Intermediate Status:
% 231.65/232.03 Generated: 543868
% 231.65/232.03 Kept: 212235
% 231.65/232.03 Inuse: 2286
% 231.65/232.03 Deleted: 2578
% 231.65/232.03 Deletedinuse: 8
% 231.65/232.03
% 231.65/232.03
% 231.65/232.03 Intermediate Status:
% 231.65/232.03 Generated: 551546
% 231.65/232.03 Kept: 215027
% 231.65/232.03 Inuse: 2291
% 231.65/232.03 Deleted: 2578
% 231.65/232.03 Deletedinuse: 8
% 231.65/232.03
% 231.65/232.03 Resimplifying inuse:
% 231.65/232.03 Done
% 231.65/232.03
% 231.65/232.03 Resimplifying inuse:
% 231.65/232.03 Done
% 300.08/300.44 Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------