TSTP Solution File: SWW221+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWW221+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n027.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 23:21:20 EDT 2022
% Result : Timeout 300.03s 300.45s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW221+1 : TPTP v8.1.0. Released v5.2.0.
% 0.13/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Sun Jun 5 16:48:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.93/1.49 *** allocated 10000 integers for termspace/termends
% 0.93/1.49 *** allocated 10000 integers for clauses
% 0.93/1.49 *** allocated 10000 integers for justifications
% 0.93/1.49 *** allocated 15000 integers for termspace/termends
% 0.93/1.49 *** allocated 22500 integers for termspace/termends
% 0.93/1.49 *** allocated 33750 integers for termspace/termends
% 0.93/1.49 Bliksem 1.12
% 0.93/1.49
% 0.93/1.49
% 0.93/1.49 Automatic Strategy Selection
% 0.93/1.49
% 0.93/1.49 *** allocated 50625 integers for termspace/termends
% 0.93/1.49 *** allocated 75937 integers for termspace/termends
% 0.93/1.49 *** allocated 113905 integers for termspace/termends
% 0.93/1.49
% 0.93/1.49 Clauses:
% 0.93/1.49
% 0.93/1.49 { ! hAPP( Y, skol1( X, Y ) ) = hAPP( X, skol1( X, Y ) ), Y = X }.
% 0.93/1.49 { c_SEQ_Osubseq( v_f____ ) }.
% 0.93/1.49 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.93/1.49 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.93/1.49 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), v_z____ ) ),
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) ) ) ) }.
% 0.93/1.49 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol2 ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.93/1.49 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, X, v_z____ ) ) ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.93/1.49 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, X, v_z____ ) ), skol2
% 0.93/1.49 ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.93/1.49 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, hAPP(
% 0.93/1.49 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), X ), hAPP(
% 0.93/1.49 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), v_z____ ) ) ),
% 0.93/1.49 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.93/1.49 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), v_z____ ) ),
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) ) ),
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.93/1.49 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.93/1.49 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.93/1.49 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.93/1.49 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), v_z____ ) ),
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) ) ),
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.93/1.49 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.93/1.49 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.93/1.49 class_Int_Onumber__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.93/1.49 ) ) ) ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero
% 0.93/1.49 ( X ), Y ) }.
% 0.93/1.49 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.93/1.49 class_Int_Onumber__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless( X,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.93/1.49 ) ) ) ) ) }.
% 0.93/1.49 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.93/1.49 class_Int_Onumber__ring( X ), ! c_Orderings_Oord__class_Oless( X,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless( X,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.93/1.49 ) ) ) ) ) }.
% 0.93/1.49 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.93/1.49 ), c_Groups_Ozero__class_Ozero( X ) ), c_Groups_Oabs__class_Oabs( X,
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( X, c_Int_Onumber__class_Onumber__of( X,
% 0.93/1.49 Y ) ) }.
% 0.93/1.49 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.93/1.49 ), c_Groups_Ozero__class_Ozero( X ) ), c_Groups_Oabs__class_Oabs( X,
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( X, Y ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.93/1.49 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) =
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) }.
% 0.93/1.49 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.93/1.49 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) = X }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.93/1.49 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) =
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) }.
% 0.93/1.49 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.93/1.49 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) = X }.
% 0.93/1.49 { ! class_Int_Onumber__ring( X ), !
% 0.93/1.49 class_RealVector_Oreal__normed__algebra__1( X ),
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( X, c_Int_Onumber__class_Onumber__of( X,
% 0.93/1.49 Y ) ) = c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, Y ) ) }.
% 0.93/1.49 { ! class_RealVector_Oreal__normed__field( X ), Y =
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ), c_RealVector_Onorm__class_Onorm( X,
% 0.93/1.49 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 0.93/1.49 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.93/1.49 ( X, Y ) ) }.
% 0.93/1.49 { ! class_Fields_Ofield( X ), ! class_Int_Onumber__ring( X ),
% 0.93/1.49 c_Rings_Oinverse__class_Odivide( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.93/1.49 X, c_Int_OBit1( c_Int_OPls ) ) ) = Y }.
% 0.93/1.49 { ! class_Fields_Ofield( X ), ! class_Int_Onumber__ring( X ),
% 0.93/1.49 c_Rings_Oinverse__class_Odivide( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.93/1.49 X, c_Int_OBit1( c_Int_OPls ) ) ) = Y }.
% 0.93/1.49 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( X, Y ) ), ! Y =
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.49 { ! class_RealVector_Oreal__normed__vector( X ), Y =
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless(
% 0.93/1.49 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( X, Y ) ) }.
% 0.93/1.49 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.93/1.49 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oabs__class_Oabs( X, Z ), Y
% 0.93/1.49 ) = c_Groups_Oabs__class_Oabs( X, c_Rings_Oinverse__class_Odivide( X, Z
% 0.93/1.49 , Y ) ) }.
% 0.93/1.49 { ! class_Fields_Ofield__inverse__zero( X ), ! class_Int_Onumber__ring( X )
% 0.93/1.49 , c_Rings_Oinverse__class_Odivide( X, Y, c_Int_Onumber__class_Onumber__of
% 0.93/1.49 ( X, c_Int_OPls ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.49 { c_Groups_Ozero__class_Ozero( tc_Int_Oint ) =
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OPls ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( X ),
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( X ),
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( X ),
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( X ),
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.93/1.49 { c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Int_OPls ) = c_Int_OPls }
% 0.93/1.49 .
% 0.93/1.49 { c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Int_OBit0( X ) ) =
% 0.93/1.49 c_Int_OBit0( c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.93/1.49 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.93/1.49 .
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit1
% 0.93/1.49 ( X ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.93/1.49 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.93/1.49 .
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit1
% 0.93/1.49 ( X ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, c_Int_OPls ) }
% 0.93/1.49 .
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.93/1.49 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.93/1.49 .
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit0
% 0.93/1.49 ( X ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.93/1.49 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.93/1.49 .
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit0
% 0.93/1.49 ( X ) ) }.
% 0.93/1.49 { c_RealVector_Onorm__class_Onorm( tc_RealDef_Oreal, X ) =
% 0.93/1.49 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) }.
% 0.93/1.49 { c_Int_OPls = c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( X ),
% 0.93/1.49 c_Int_OPls ), c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls )
% 0.93/1.49 }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( X ), c_Int_OPls
% 0.93/1.49 ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.93/1.49 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.93/1.49 .
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit0
% 0.93/1.49 ( X ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.93/1.49 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.93/1.49 .
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit0
% 0.93/1.49 ( X ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( X ),
% 0.93/1.49 c_Int_OPls ), c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls )
% 0.93/1.49 }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( X ), c_Int_OPls
% 0.93/1.49 ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, c_Int_OBit0( X
% 0.93/1.49 ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, c_Int_OBit0( X )
% 0.93/1.49 ) }.
% 0.93/1.49 { ! class_Int_Onumber__ring( X ), ! class_Int_Oring__char__0( X ), !
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( X, Z ) =
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( X, Y ), Z = Y }.
% 0.93/1.49 { ! class_Int_Onumber__ring( X ), ! class_Int_Oring__char__0( X ), ! Z = Y
% 0.93/1.49 , c_Int_Onumber__class_Onumber__of( X, Z ) =
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( X, Y ) }.
% 0.93/1.49 { ! class_Int_Onumber( X ), ! c_Int_Onumber__class_Onumber__of( X, Z ) = Y
% 0.93/1.49 , Y = c_Int_Onumber__class_Onumber__of( X, Z ) }.
% 0.93/1.49 { ! class_Int_Onumber( X ), ! Y = c_Int_Onumber__class_Onumber__of( X, Z )
% 0.93/1.49 , c_Int_Onumber__class_Onumber__of( X, Z ) = Y }.
% 0.93/1.49 { ! c_Int_OBit1( Y ) = c_Int_OBit1( X ), Y = X }.
% 0.93/1.49 { ! Y = X, c_Int_OBit1( Y ) = c_Int_OBit1( X ) }.
% 0.93/1.49 { ! c_Int_OBit0( Y ) = c_Int_OBit0( X ), Y = X }.
% 0.93/1.49 { ! Y = X, c_Int_OBit0( Y ) = c_Int_OBit0( X ) }.
% 0.93/1.49 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.93/1.49 ), c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, Y ) }.
% 0.93/1.49 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Int_Oint, Z, Y ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.93/1.49 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.93/1.49 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.93/1.49 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Z, Y ) ) =
% 0.93/1.49 c_Groups_Ominus__class_Ominus( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.93/1.49 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.93/1.49 { ! class_RealVector_Oreal__normed__field( X ),
% 0.93/1.49 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ozero__class_Ozero( X ), Y )
% 0.93/1.49 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.49 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y ) ) =
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( X, c_Int_Onumber__class_Onumber__of( X,
% 0.93/1.49 Y ) ) }.
% 0.93/1.49 { ! class_Int_Onumber__ring( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( X, c_Groups_Ouminus__class_Ouminus(
% 0.93/1.49 tc_Int_Oint, Y ) ) }.
% 0.93/1.49 { ! class_RealVector_Oreal__normed__field( X ),
% 0.93/1.49 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ominus__class_Ominus( X, T,
% 0.93/1.49 Z ), Y ) = c_Groups_Ominus__class_Ominus( X,
% 0.93/1.49 c_Rings_Oinverse__class_Odivide( X, T, Y ),
% 0.93/1.49 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.93/1.49 { ! c_Int_OBit1( X ) = c_Int_OPls }.
% 0.93/1.49 { ! c_Int_OPls = c_Int_OBit1( X ) }.
% 0.93/1.49 { ! c_Int_OBit1( Y ) = c_Int_OBit0( X ) }.
% 0.93/1.49 { ! c_Int_OBit0( Y ) = c_Int_OBit1( X ) }.
% 0.93/1.49 { ! c_Int_OBit0( X ) = c_Int_OPls, X = c_Int_OPls }.
% 0.93/1.49 { ! X = c_Int_OPls, c_Int_OBit0( X ) = c_Int_OPls }.
% 0.93/1.49 { ! c_Int_OPls = c_Int_OBit0( X ), c_Int_OPls = X }.
% 0.93/1.49 { ! c_Int_OPls = X, c_Int_OPls = c_Int_OBit0( X ) }.
% 0.93/1.49 { c_Int_OBit0( c_Int_OPls ) = c_Int_OPls }.
% 0.93/1.49 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus( X, Z,
% 0.93/1.49 Y ) ) = c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus
% 0.93/1.49 ( X, Y, Z ) ) }.
% 0.93/1.49 { ! class_Fields_Ofield__inverse__zero( X ),
% 0.93/1.49 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ouminus__class_Ouminus( X, Z
% 0.93/1.49 ), c_Groups_Ouminus__class_Ouminus( X, Y ) ) =
% 0.93/1.49 c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.93/1.49 { ! class_RealVector_Oreal__normed__field( X ),
% 0.93/1.49 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ouminus__class_Ouminus( X, Z
% 0.93/1.49 ), Y ) = c_Groups_Ouminus__class_Ouminus( X,
% 0.93/1.49 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.93/1.49 { ! class_Fields_Ofield__inverse__zero( X ),
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( X, c_Rings_Oinverse__class_Odivide( X, Z
% 0.93/1.49 , Y ) ) = c_Rings_Oinverse__class_Odivide( X, Z,
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.93/1.49 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ouminus__class_Ouminus( X, Y
% 0.93/1.49 ) ) = c_RealVector_Onorm__class_Onorm( X, Y ) }.
% 0.93/1.49 { ! class_Fields_Olinordered__field__inverse__zero( X ),
% 0.93/1.49 c_Groups_Oabs__class_Oabs( X, c_Rings_Oinverse__class_Odivide( X, Z, Y )
% 0.93/1.49 ) = c_Rings_Oinverse__class_Odivide( X, c_Groups_Oabs__class_Oabs( X, Z
% 0.93/1.49 ), c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.93/1.49 { ! class_RealVector_Oreal__normed__vector( X ), c_Groups_Oabs__class_Oabs
% 0.93/1.49 ( tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm( X, Y ) ) =
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( X, Y ) }.
% 0.93/1.49 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.93/1.49 X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, T,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.93/1.49 c_Rings_Oinverse__class_Odivide( X, Y, T ),
% 0.93/1.49 c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.93/1.49 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.93/1.49 X, Z, Y ), ! c_Orderings_Oord__class_Oless( X,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless( X,
% 0.93/1.49 c_Rings_Oinverse__class_Odivide( X, Z, T ),
% 0.93/1.49 c_Rings_Oinverse__class_Odivide( X, Y, T ) ) }.
% 0.93/1.49 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.93/1.49 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.93/1.49 ( X, Z, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 0.93/1.49 ( X, c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X
% 0.93/1.49 , Y, Z ) ) }.
% 0.93/1.49 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.93/1.49 X, Y, c_Groups_Ozero__class_Ozero( X ) ), ! c_Orderings_Oord__class_Oless
% 0.93/1.49 ( X, c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless
% 0.93/1.49 ( X, c_Rings_Oinverse__class_Odivide( X, Y, Z ),
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.93/1.49 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.93/1.49 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.93/1.49 ( X, Z, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 0.93/1.49 ( X, c_Rings_Oinverse__class_Odivide( X, Y, Z ),
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.93/1.49 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.93/1.49 X, c_Groups_Ozero__class_Ozero( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.93/1.49 ( X, c_Groups_Ozero__class_Ozero( X ), Z ), c_Orderings_Oord__class_Oless
% 0.93/1.49 ( X, c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X
% 0.93/1.49 , Y, Z ) ) }.
% 0.93/1.49 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, Z,
% 0.93/1.49 Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha1( X, Y, Z ), alpha20( X, Y
% 0.93/1.49 , Z ) }.
% 0.93/1.49 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha1( X, Y, Z
% 0.93/1.49 ), c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X
% 0.93/1.49 , Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.93/1.49 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha20( X, Y, Z
% 0.93/1.49 ), c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X
% 0.93/1.49 , Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.93/1.49 { ! alpha20( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.93/1.49 { ! alpha20( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.93/1.49 , ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.93/1.49 ), alpha20( X, Y, Z ) }.
% 0.93/1.49 { ! alpha1( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.93/1.49 { ! alpha1( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.93/1.49 , ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.93/1.49 ), alpha1( X, Y, Z ) }.
% 0.93/1.49 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.93/1.49 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ), alpha2( X, Y, Z ), alpha21
% 0.93/1.49 ( X, Y, Z ) }.
% 0.93/1.49 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha2( X, Y, Z
% 0.93/1.49 ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.93/1.49 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.93/1.49 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha21( X, Y, Z
% 0.93/1.49 ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.93/1.49 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.93/1.49 { ! alpha21( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Z,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.93/1.49 { ! alpha21( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.93/1.49 , ! c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.93/1.49 ), alpha21( X, Y, Z ) }.
% 0.93/1.49 { ! alpha2( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.93/1.49 { ! alpha2( X, Y, Z ), c_Orderings_Oord__class_Oless( X,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.93/1.49 , ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.93/1.49 ), alpha2( X, Y, Z ) }.
% 0.93/1.49 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.93/1.49 c_Int_OPls ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.49 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ozero__class_Ozero( X ) ) =
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.93/1.49 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( X, Y ) = c_Groups_Ozero__class_Ozero(
% 0.93/1.49 tc_RealDef_Oreal ), Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.49 { ! class_RealVector_Oreal__normed__vector( X ), ! Y =
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ), c_RealVector_Onorm__class_Onorm( X, Y )
% 0.93/1.49 = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.93/1.49 { ! class_Fields_Olinordered__field( X ), Y = c_Groups_Ozero__class_Ozero(
% 0.93/1.49 X ), c_Groups_Oabs__class_Oabs( X, c_Rings_Oinverse__class_Odivide( X, Z
% 0.93/1.49 , Y ) ) = c_Rings_Oinverse__class_Odivide( X, c_Groups_Oabs__class_Oabs(
% 0.93/1.49 X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.93/1.49 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( X, Y ), c_Groups_Ozero__class_Ozero(
% 0.93/1.49 tc_RealDef_Oreal ) ) }.
% 0.93/1.49 { ! class_Fields_Ofield__inverse__zero( X ), !
% 0.93/1.49 class_RealVector_Oreal__normed__field( X ),
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( X, c_Rings_Oinverse__class_Odivide( X, Z
% 0.93/1.49 , Y ) ) = c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.93/1.49 ( X, Y ) ) }.
% 0.93/1.49 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.93/1.49 ), c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless(
% 0.93/1.49 tc_Int_Oint, Y, c_Int_OPls ) }.
% 0.93/1.49 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.93/1.49 ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.93/1.49 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( X, Y ) ), c_Orderings_Oord__class_Oless
% 0.93/1.49 ( tc_Int_Oint, c_Int_OPls, Y ) }.
% 0.93/1.49 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, Y ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.93/1.49 c_Groups_Oabs__class_Oabs( X, Y ) = c_Groups_Ouminus__class_Ouminus( X, Y
% 0.93/1.49 ) }.
% 0.93/1.49 { ! class_Groups_Oabs__if( X ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ) ), c_Groups_Oabs__class_Oabs( X, Y ) =
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( X, Y ) }.
% 0.93/1.49 { ! class_Groups_Oabs__if( X ), c_Orderings_Oord__class_Oless( X, Y,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ) ), c_Groups_Oabs__class_Oabs( X, Y ) = Y
% 0.93/1.49 }.
% 0.93/1.49 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.93/1.49 tc_Nat_Onat ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0
% 0.93/1.49 ( c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.93/1.49 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.93/1.49 , c_Groups_Oabs__class_Oabs( X, Z ), Y ), c_Orderings_Oord__class_Oless(
% 0.93/1.49 X, Z, Y ) }.
% 0.93/1.49 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.93/1.49 , c_Groups_Oabs__class_Oabs( X, Z ), Y ), c_Orderings_Oord__class_Oless(
% 0.93/1.49 X, c_Groups_Ouminus__class_Ouminus( X, Z ), Y ) }.
% 0.93/1.49 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.93/1.49 , Z, Y ), ! c_Orderings_Oord__class_Oless( X,
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( X, Z ), Y ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Oabs__class_Oabs( X, Z ), Y )
% 0.93/1.49 }.
% 0.93/1.49 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.93/1.49 , c_Rings_Oinverse__class_Odivide( X, c_Groups_Ouminus__class_Ouminus( X
% 0.93/1.49 , Z ), c_Groups_Ouminus__class_Ouminus( X, Y ) ) =
% 0.93/1.49 c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.93/1.49 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.93/1.49 , c_Groups_Ouminus__class_Ouminus( X, c_Rings_Oinverse__class_Odivide( X
% 0.93/1.49 , Z, Y ) ) = c_Rings_Oinverse__class_Odivide( X, Z,
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.93/1.49 c_Groups_Oabs__class_Oabs( X, Y ) = Y }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.93/1.49 c_Groups_Oabs__class_Oabs( X, Y ) ), ! Y = c_Groups_Ozero__class_Ozero( X
% 0.93/1.49 ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__group__add__abs( X ), Y =
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless( X,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Oabs__class_Oabs( X, Y ),
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.93/1.49 { ! class_Int_Onumber__ring( X ), c_Groups_Ozero__class_Ozero( X ) =
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( X, c_Int_OPls ) }.
% 0.93/1.49 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ouminus__class_Ouminus(
% 0.93/1.49 X, Y ) }.
% 0.93/1.49 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Y )
% 0.93/1.49 , Y ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.93/1.49 , Y ) }.
% 0.93/1.49 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Y )
% 0.93/1.49 , Y ) }.
% 0.93/1.49 { c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.93/1.49 ( tc_Int_Oint ) ) = c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.93/1.49 { c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) = X }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), c_Groups_Oabs__class_Oabs(
% 0.93/1.49 tc_Int_Oint, X ) = c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) }.
% 0.93/1.49 { c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ), c_Groups_Oabs__class_Oabs(
% 0.93/1.49 tc_Int_Oint, X ) = X }.
% 0.93/1.49 { c_Groups_Ouminus__class_Ouminus( tc_Int_Oint,
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) = X }.
% 0.93/1.49 { c_Groups_Ouminus__class_Ouminus( tc_Int_Oint,
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) =
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( tc_Int_Oint,
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ominus__class_Ominus
% 0.93/1.49 ( tc_Int_Oint, Y, X ), c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.93/1.49 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X ),
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 0.93/1.49 { c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), Y = X,
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, Y ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Int_Oint,
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) }.
% 0.93/1.49 { c_Groups_Ominus__class_Ominus( tc_Int_Oint, X, c_Int_OPls ) = X }.
% 0.93/1.49 { c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit0
% 0.93/1.49 ( X ) ) = c_Int_OBit0( c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X )
% 0.93/1.49 ) }.
% 0.93/1.49 { c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit0
% 0.93/1.49 ( X ) ) = c_Int_OBit1( c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X )
% 0.93/1.49 ) }.
% 0.93/1.49 { c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit1
% 0.93/1.49 ( X ) ) = c_Int_OBit0( c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X )
% 0.93/1.49 ) }.
% 0.93/1.49 { c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Int_OPls, c_Int_OBit0( X )
% 0.93/1.49 ) = c_Int_OBit0( c_Groups_Ominus__class_Ominus( tc_Int_Oint, c_Int_OPls
% 0.93/1.49 , X ) ) }.
% 0.93/1.49 { ! class_Groups_Ozero( X ), ! c_Groups_Ozero__class_Ozero( X ) = Y, Y =
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.49 { ! class_Groups_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X ),
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ) = Y }.
% 0.93/1.49 { ! class_Rings_Olinordered__idom( X ), Z = Y,
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.93/1.49 X, Y, Z ) }.
% 0.93/1.49 { ! class_Groups_Oab__group__add( X ), ! c_Groups_Ominus__class_Ominus( X,
% 0.93/1.49 U, T ) = c_Groups_Ominus__class_Ominus( X, Z, Y ), ! U = T, Z = Y }.
% 0.93/1.49 { ! class_Groups_Oab__group__add( X ), ! c_Groups_Ominus__class_Ominus( X,
% 0.93/1.49 U, T ) = c_Groups_Ominus__class_Ominus( X, Z, Y ), ! Z = Y, U = T }.
% 0.93/1.49 { ! class_Groups_Ogroup__add( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( X, Y ) ) = Y }.
% 0.93/1.49 { ! class_Groups_Ogroup__add( X ), ! Z = c_Groups_Ouminus__class_Ouminus( X
% 0.93/1.49 , Y ), Y = c_Groups_Ouminus__class_Ouminus( X, Z ) }.
% 0.93/1.49 { ! class_Groups_Ogroup__add( X ), ! Y = c_Groups_Ouminus__class_Ouminus( X
% 0.93/1.49 , Z ), Z = c_Groups_Ouminus__class_Ouminus( X, Y ) }.
% 0.93/1.49 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ouminus__class_Ouminus( X, Z
% 0.93/1.49 ) = Y, c_Groups_Ouminus__class_Ouminus( X, Y ) = Z }.
% 0.93/1.49 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ouminus__class_Ouminus( X, Y
% 0.93/1.49 ) = Z, c_Groups_Ouminus__class_Ouminus( X, Z ) = Y }.
% 0.93/1.49 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ouminus__class_Ouminus( X, Z
% 0.93/1.49 ) = c_Groups_Ouminus__class_Ouminus( X, Y ), Z = Y }.
% 0.93/1.49 { ! class_Groups_Ogroup__add( X ), ! Z = Y, c_Groups_Ouminus__class_Ouminus
% 0.93/1.49 ( X, Z ) = c_Groups_Ouminus__class_Ouminus( X, Y ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ), alpha3( X, Y ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 0.93/1.49 { ! alpha3( X, Y ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) }.
% 0.93/1.49 { ! alpha3( X, Y ), ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ) }.
% 0.93/1.49 { c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), alpha3( X, Y ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ), alpha3( X
% 0.93/1.49 , Y ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.93/1.49 ( tc_Nat_Onat ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.93/1.49 tc_Nat_Onat ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) }.
% 0.93/1.49 { c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OPls ) =
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.93/1.49 { c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) =
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OPls ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.93/1.49 c_Groups_Oabs__class_Oabs( X, c_Groups_Oabs__class_Oabs( X, Y ) ) =
% 0.93/1.49 c_Groups_Oabs__class_Oabs( X, Y ) }.
% 0.93/1.49 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X, Y,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.93/1.49 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X, Y, Y )
% 0.93/1.49 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.49 { ! class_Groups_Oab__group__add( X ), ! Z = Y,
% 0.93/1.49 c_Groups_Ominus__class_Ominus( X, Z, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.93/1.49 ) }.
% 0.93/1.49 { ! class_Groups_Oab__group__add( X ), ! c_Groups_Ominus__class_Ominus( X,
% 0.93/1.49 Z, Y ) = c_Groups_Ozero__class_Ozero( X ), Z = Y }.
% 0.93/1.49 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ominus__class_Ominus( X, Z, Y
% 0.93/1.49 ) = c_Groups_Ozero__class_Ozero( X ), Z = Y }.
% 0.93/1.49 { ! class_Groups_Ogroup__add( X ), ! Z = Y, c_Groups_Ominus__class_Ominus(
% 0.93/1.49 X, Z, Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.93/1.49 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.93/1.49 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, U, T ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.93/1.49 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.93/1.49 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless( X, Z, Y ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, U, T ) }.
% 0.93/1.49 { ! class_Groups_Ogroup__add( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.49 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ozero__class_Ozero( X ) =
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( X, Y ), c_Groups_Ozero__class_Ozero( X )
% 0.93/1.49 = Y }.
% 0.93/1.49 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ozero__class_Ozero( X ) = Y,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ) = c_Groups_Ouminus__class_Ouminus( X, Y
% 0.93/1.49 ) }.
% 0.93/1.49 { ! class_Groups_Olinordered__ab__group__add( X ), ! Y =
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( X, Y ), Y = c_Groups_Ozero__class_Ozero
% 0.93/1.49 ( X ) }.
% 0.93/1.49 { ! class_Groups_Olinordered__ab__group__add( X ), ! Y =
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ouminus__class_Ouminus( X
% 0.93/1.49 , Y ) }.
% 0.93/1.49 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Ouminus__class_Ouminus( X, Y
% 0.93/1.49 ) = c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X
% 0.93/1.49 ) }.
% 0.93/1.49 { ! class_Groups_Ogroup__add( X ), ! Y = c_Groups_Ozero__class_Ozero( X ),
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( X, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.93/1.49 ) }.
% 0.93/1.49 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( X, Y ) = Y, Y =
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.49 { ! class_Groups_Olinordered__ab__group__add( X ), ! Y =
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ), c_Groups_Ouminus__class_Ouminus( X, Y )
% 0.93/1.49 = Y }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ouminus__class_Ouminus( X,
% 0.93/1.49 Y ) ), c_Orderings_Oord__class_Oless( X, Y,
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( X, Z ) ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ouminus__class_Ouminus( X,
% 0.93/1.49 Z ) ), c_Orderings_Oord__class_Oless( X, Z,
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Z )
% 0.93/1.49 , Y ), c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus
% 0.93/1.49 ( X, Y ), Z ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Y )
% 0.93/1.49 , Z ), c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus
% 0.93/1.49 ( X, Z ), Y ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Z )
% 0.93/1.49 , c_Groups_Ouminus__class_Ouminus( X, Y ) ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, Y, Z ), c_Orderings_Oord__class_Oless(
% 0.93/1.49 X, c_Groups_Ouminus__class_Ouminus( X, Z ),
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.93/1.49 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.93/1.49 }.
% 0.93/1.49 { ! class_Rings_Odivision__ring__inverse__zero( X ),
% 0.93/1.49 c_Rings_Oinverse__class_Odivide( X, Y, c_Groups_Ozero__class_Ozero( X ) )
% 0.93/1.49 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.49 { ! class_Groups_Oab__group__add( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.93/1.49 c_Groups_Ominus__class_Ominus( X, Z, Y ) ) =
% 0.93/1.49 c_Groups_Ominus__class_Ominus( X, Y, Z ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.93/1.49 c_Groups_Oabs__class_Oabs( X, c_Groups_Ozero__class_Ozero( X ) ) =
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.93/1.49 c_Groups_Oabs__class_Oabs( X, Y ) = c_Groups_Ozero__class_Ozero( X ), Y =
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__group__add__abs( X ), ! Y =
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oabs__class_Oabs( X, Y ) =
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.49 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.93/1.49 c_Groups_Ominus__class_Ominus( X, T, Z ), Y ) =
% 0.93/1.49 c_Groups_Ominus__class_Ominus( X, c_Rings_Oinverse__class_Odivide( X, T,
% 0.93/1.49 Y ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.93/1.49 { ! class_Rings_Odivision__ring( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.93/1.49 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 0.93/1.49 c_Rings_Oinverse__class_Odivide( X, c_Groups_Ouminus__class_Ouminus( X, Z
% 0.93/1.49 ), Y ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.93/1.49 c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, Z, Y ) )
% 0.93/1.49 = c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, Y, Z )
% 0.93/1.49 ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.93/1.49 c_Groups_Oabs__class_Oabs( X, c_Groups_Ouminus__class_Ouminus( X, Y ) ) =
% 0.93/1.49 c_Groups_Oabs__class_Oabs( X, Y ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.93/1.49 X, c_Groups_Ominus__class_Ominus( X, Z, Y ), c_Groups_Ozero__class_Ozero
% 0.93/1.49 ( X ) ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ominus__class_Ominus( X, Z, Y
% 0.93/1.49 ), c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 0.93/1.49 , Z, Y ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( X, Y ) ), c_Orderings_Oord__class_Oless
% 0.93/1.49 ( X, Y, c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.93/1.49 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.93/1.49 , Y, c_Groups_Ouminus__class_Ouminus( X, Y ) ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ) }
% 0.93/1.49 .
% 0.93/1.49 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.93/1.49 , Y, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 0.93/1.49 , Y, c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Y )
% 0.93/1.49 , c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ouminus__class_Ouminus( X, Y )
% 0.93/1.49 , c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.93/1.49 { ! c_SEQ_Osubseq( X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, Z
% 0.93/1.49 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( X, Y ), hAPP( X, Z
% 0.93/1.49 ) ) }.
% 0.93/1.49 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, skol3( X ), skol33( X ) ),
% 0.93/1.49 c_SEQ_Osubseq( X ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( X, skol3( X ) ), hAPP
% 0.93/1.49 ( X, skol33( X ) ) ), c_SEQ_Osubseq( X ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, skol4( X ), Y ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.93/1.49 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, v_g____( hAPP(
% 0.93/1.49 v_f____, Y ) ), v_z____ ) ), X ) }.
% 0.93/1.49 { ! class_Rings_Ocomm__ring( X ), hAPP( c_Polynomial_Opoly( X,
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( tc_Polynomial_Opoly( X ), Z ) ), Y ) =
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( X, hAPP( c_Polynomial_Opoly( X, Z ), Y )
% 0.93/1.49 ) }.
% 0.93/1.49 { ! class_Rings_Ocomm__ring( X ), hAPP( c_Polynomial_Opoly( X,
% 0.93/1.49 c_Groups_Ominus__class_Ominus( tc_Polynomial_Opoly( X ), T, Z ) ), Y ) =
% 0.93/1.49 c_Groups_Ominus__class_Ominus( X, hAPP( c_Polynomial_Opoly( X, T ), Y ),
% 0.93/1.49 hAPP( c_Polynomial_Opoly( X, Z ), Y ) ) }.
% 0.93/1.49 { ! class_Rings_Ocomm__semiring__0( X ), hAPP( c_Polynomial_Opoly( X,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) ), Y ) =
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.93/1.49 { X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.93/1.49 tc_Nat_Onat ), X ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.93/1.49 ( tc_Nat_Onat ), X ), ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }
% 0.93/1.49 .
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.93/1.49 ( tc_Nat_Onat ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.93/1.49 tc_Nat_Onat ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.93/1.49 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.93/1.49 { ! class_Groups_Oab__group__add( X ), c_Groups_Ouminus__class_Ouminus(
% 0.93/1.49 tc_Polynomial_Opoly( X ), c_Groups_Ozero__class_Ozero(
% 0.93/1.49 tc_Polynomial_Opoly( X ) ) ) = c_Groups_Ozero__class_Ozero(
% 0.93/1.49 tc_Polynomial_Opoly( X ) ) }.
% 0.93/1.49 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless(
% 0.93/1.49 tc_Polynomial_Opoly( X ), Y, c_Groups_Ozero__class_Ozero(
% 0.93/1.49 tc_Polynomial_Opoly( X ) ) ), c_Groups_Oabs__class_Oabs(
% 0.93/1.49 tc_Polynomial_Opoly( X ), Y ) = c_Groups_Ouminus__class_Ouminus(
% 0.93/1.49 tc_Polynomial_Opoly( X ), Y ) }.
% 0.93/1.49 { ! class_Rings_Olinordered__idom( X ), c_Orderings_Oord__class_Oless(
% 0.93/1.49 tc_Polynomial_Opoly( X ), Y, c_Groups_Ozero__class_Ozero(
% 0.93/1.49 tc_Polynomial_Opoly( X ) ) ), c_Groups_Oabs__class_Oabs(
% 0.93/1.49 tc_Polynomial_Opoly( X ), Y ) = Y }.
% 0.93/1.49 { ! class_Groups_Oab__group__add( X ), c_Groups_Ominus__class_Ominus(
% 0.93/1.49 tc_Polynomial_Opoly( X ), c_Groups_Ozero__class_Ozero(
% 0.93/1.49 tc_Polynomial_Opoly( X ) ), Y ) = c_Groups_Ouminus__class_Ouminus(
% 0.93/1.49 tc_Polynomial_Opoly( X ), Y ) }.
% 0.93/1.49 { ! class_Groups_Oab__group__add( X ), c_Groups_Ominus__class_Ominus(
% 0.93/1.49 tc_Polynomial_Opoly( X ), Y, c_Groups_Ozero__class_Ozero(
% 0.93/1.49 tc_Polynomial_Opoly( X ) ) ) = Y }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.93/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ),
% 0.93/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Z ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Z ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.93/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ),
% 0.93/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ),
% 0.93/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.93/1.49 ( tc_Nat_Onat, X, Y ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.93/1.49 ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Z ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.93/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) =
% 0.93/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ), X = Z }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), ! X = Z,
% 0.93/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) =
% 0.93/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.93/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X,
% 0.93/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) = Y }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.93/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, Z ),
% 0.93/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Z ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.93/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, X ),
% 0.93/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ) ) }.
% 0.93/1.49 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.93/1.49 ( tc_Nat_Onat, Z, Y ), X ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.93/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, X ), Y ) }.
% 0.93/1.49 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.93/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ), Y ) }.
% 0.93/1.49 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.93/1.49 , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Z, Y ) }.
% 0.93/1.49 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Z, Y ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.93/1.49 , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.93/1.49 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, X ) }.
% 0.93/1.49 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Y ) }.
% 0.93/1.49 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Z ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X, Y ), Y = X }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.93/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) =
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.93/1.49 { ! c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) =
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.93/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) =
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X =
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.93/1.49 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, X,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.93/1.49 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.93/1.49 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.93/1.49 ( tc_Nat_Onat, X, Y ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.93/1.49 ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Z ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, Z ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Z ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.93/1.49 ( tc_Nat_Onat, X, Y ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.93/1.49 ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, Y ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.93/1.49 ( tc_Nat_Onat, Y, Z ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Z )
% 0.93/1.49 ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), Y = X,
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), Y = X }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.93/1.49 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! Y = X }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), Y = X,
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.93/1.49 { ! c_SEQ_Osubseq( X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.93/1.49 hAPP( X, Y ) ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.93/1.49 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.93/1.49 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.93/1.49 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.93/1.49 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, U, T ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.93/1.49 , Y ), c_Groups_Ouminus__class_Ouminus( X, Z ) ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.93/1.49 , Z ), c_Groups_Ouminus__class_Ouminus( X, Y ) ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, Y, Z ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.93/1.49 , Z ), c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.93/1.49 , Z ), Y ), c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( X, Y ), Z ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.93/1.49 , Y ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( X, Z ), Y ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ouminus__class_Ouminus
% 0.93/1.49 ( X, Y ) ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( X, Z ) ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ouminus__class_Ouminus
% 0.93/1.49 ( X, Z ) ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 0.93/1.49 Y ), c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Oabs__class_Oabs( X, Y
% 0.93/1.49 ) ) }.
% 0.93/1.49 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.93/1.49 , Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OPls ) }.
% 0.93/1.49 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OPls ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.93/1.49 , Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.93/1.49 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, Y ) }.
% 0.93/1.49 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, Y ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ominus__class_Ominus( X, Z
% 0.93/1.49 , Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ominus__class_Ominus( X, Z
% 0.93/1.49 , Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.93/1.49 { ! class_Int_Onumber( X ), ! class_Orderings_Olinorder( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.93/1.49 , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.93/1.49 ), c_Int_Onumber__class_Onumber__of( X, Z ) ) }.
% 0.93/1.49 { ! class_Int_Onumber( X ), ! class_Orderings_Olinorder( X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.93/1.49 ), c_Int_Onumber__class_Onumber__of( X, Z ) ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.93/1.49 , Z ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.93/1.49 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.93/1.49 , Y ), Y ), c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.93/1.49 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.93/1.49 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus
% 0.93/1.49 ( X, Y ), Y ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.93/1.49 , Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.93/1.49 ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.93/1.49 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus
% 0.93/1.49 ( X, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.93/1.49 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ouminus__class_Ouminus
% 0.93/1.49 ( X, Y ) ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.93/1.49 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.93/1.49 ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( X, Y ) ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.93/1.49 ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.93/1.49 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.93/1.49 ), c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.93/1.49 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Ozero__class_Ozero( X )
% 0.93/1.49 ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 0.93/1.49 ( X, Y, T ), c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.93/1.49 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.93/1.49 ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 0.93/1.49 ( X, Z, T ), c_Rings_Oinverse__class_Odivide( X, Y, T ) ) }.
% 0.93/1.49 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.93/1.49 , Z, Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha4( X, Y, Z ), alpha22
% 0.93/1.49 ( X, Y, Z ) }.
% 0.93/1.49 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha4( X, Y, Z
% 0.93/1.49 ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 0.93/1.49 ( X, Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.93/1.49 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha22( X, Y, Z
% 0.93/1.49 ), c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide
% 0.93/1.49 ( X, Z, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.93/1.49 { ! alpha22( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.93/1.49 { ! alpha22( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.93/1.49 ) ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero
% 0.93/1.49 ( X ), Y ), alpha22( X, Y, Z ) }.
% 0.93/1.49 { ! alpha4( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.93/1.49 { ! alpha4( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.93/1.49 , Z ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ) ), alpha4( X, Y, Z ) }.
% 0.93/1.49 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.93/1.49 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ), alpha5( X, Y, Z ), alpha23
% 0.93/1.49 ( X, Y, Z ) }.
% 0.93/1.49 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha5( X, Y, Z
% 0.93/1.49 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.93/1.49 ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.93/1.49 { ! class_Fields_Olinordered__field__inverse__zero( X ), ! alpha23( X, Y, Z
% 0.93/1.49 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.93/1.49 ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.93/1.49 { ! alpha23( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.93/1.49 { ! alpha23( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.93/1.49 ) ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ) ), alpha23( X, Y, Z ) }.
% 0.93/1.49 { ! alpha5( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.93/1.49 { ! alpha5( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.93/1.49 , Z ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ), Y ), alpha5( X, Y, Z ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.93/1.49 ), c_Groups_Oabs__class_Oabs( X, Y ) = Y }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X, Y ),
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ) ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.93/1.49 }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__group__add__abs( X ), ! Y =
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.49 c_Groups_Oabs__class_Oabs( X, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.93/1.49 c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ominus__class_Ominus( X,
% 0.93/1.49 c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) ),
% 0.93/1.49 c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, Y, Z ) )
% 0.93/1.49 ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ominus__class_Ominus( X,
% 0.93/1.49 c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) ),
% 0.93/1.49 c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, Z, Y ) )
% 0.93/1.49 ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X,
% 0.93/1.49 c_Groups_Ominus__class_Ominus( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 0.93/1.49 c_Groups_Oabs__class_Oabs( X, Y ) ) ), c_Groups_Oabs__class_Oabs( X,
% 0.93/1.49 c_Groups_Ominus__class_Ominus( X, Z, Y ) ) ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 0.93/1.49 Y ), c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( X, Z ), Y ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.93/1.49 , Z ), Y ), c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.49 c_Groups_Oabs__class_Oabs( X, Z ), Y ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 0.93/1.49 Y ), c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 0.93/1.49 Y ), c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( X, Z ), Y ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.93/1.49 , Z ), Y ), c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.49 c_Groups_Oabs__class_Oabs( X, Z ), Y ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.93/1.49 , Y ), c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.93/1.49 { ! class_Fields_Olinordered__field( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.93/1.49 ), ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.93/1.49 ) ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.93/1.49 X ), c_Rings_Oinverse__class_Odivide( X, Y, Z ) ) }.
% 0.93/1.49 { ! class_Fields_Olinordered__field( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.93/1.49 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.93/1.49 , Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.49 c_Rings_Oinverse__class_Odivide( X, Y, Z ), c_Groups_Ozero__class_Ozero(
% 0.93/1.49 X ) ) }.
% 0.93/1.49 { ! class_Fields_Olinordered__field( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.93/1.49 ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 0.93/1.49 ! c_Orderings_Oord__class_Oless__eq( X, T, U ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Rings_Oinverse__class_Odivide( X
% 0.93/1.49 , Y, U ), c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.93/1.49 { ! class_Fields_Olinordered__field( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.93/1.49 ), ! c_Orderings_Oord__class_Oless( X, Y, Z ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 0.93/1.49 ! c_Orderings_Oord__class_Oless__eq( X, T, U ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, c_Rings_Oinverse__class_Odivide( X, Y,
% 0.93/1.49 U ), c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.93/1.49 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.93/1.49 X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, Y, Z ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T ),
% 0.93/1.49 ! c_Orderings_Oord__class_Oless( X, T, U ), c_Orderings_Oord__class_Oless
% 0.93/1.49 ( X, c_Rings_Oinverse__class_Odivide( X, Y, U ),
% 0.93/1.49 c_Rings_Oinverse__class_Odivide( X, Z, T ) ) }.
% 0.93/1.49 { ! class_Fields_Olinordered__field( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.93/1.49 ), ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.93/1.49 ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.49 c_Rings_Oinverse__class_Odivide( X, Y, Z ), c_Groups_Ozero__class_Ozero(
% 0.93/1.49 X ) ) }.
% 0.93/1.49 { ! class_Fields_Olinordered__field( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.93/1.49 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.93/1.49 , Z ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero
% 0.93/1.49 ( X ), c_Rings_Oinverse__class_Odivide( X, Y, Z ) ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__group__add__abs( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.93/1.49 ), c_Groups_Oabs__class_Oabs( X, Y ) = c_Groups_Ouminus__class_Ouminus(
% 0.93/1.49 X, Y ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.93/1.49 , c_Groups_Oabs__class_Oabs( X, Y ) ), c_Groups_Ozero__class_Ozero( X ) )
% 0.93/1.49 }.
% 0.93/1.49 { ! c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) =
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), !
% 0.93/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) =
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y = X }.
% 0.93/1.49 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, X ) =
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.93/1.49 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) = X }.
% 0.93/1.49 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.93/1.49 tc_Nat_Onat ), X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.93/1.49 { alpha35( X, Y, Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, Z ),
% 0.93/1.49 hBOOL( hAPP( hAPP( X, Y ), Z ) ) }.
% 0.93/1.49 { alpha35( X, Y, Z ), ! hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP
% 0.93/1.49 ( X, Y ), Z ) ) }.
% 0.93/1.49 { ! alpha35( X, Y, Z ), alpha36( X, Y, Z ), Z = Y }.
% 0.93/1.49 { ! alpha35( X, Y, Z ), alpha36( X, Y, Z ), ! hBOOL( hAPP( hAPP( X, Y ), Z
% 0.93/1.49 ) ) }.
% 0.93/1.49 { ! alpha36( X, Y, Z ), alpha35( X, Y, Z ) }.
% 0.93/1.49 { ! Z = Y, hBOOL( hAPP( hAPP( X, Y ), Z ) ), alpha35( X, Y, Z ) }.
% 0.93/1.49 { ! alpha36( X, Y, Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y )
% 0.93/1.49 }.
% 0.93/1.49 { ! alpha36( X, Y, Z ), ! hBOOL( hAPP( hAPP( X, Y ), Z ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y ), hBOOL( hAPP( hAPP(
% 0.93/1.49 X, Y ), Z ) ), alpha36( X, Y, Z ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, Z ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.93/1.49 ( tc_Nat_Onat, Z, X ), c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y )
% 0.93/1.49 ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.93/1.49 ( tc_Nat_Onat, Y, Z ), X ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! Y = X }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! X = Y }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, X ) }.
% 0.93/1.49 { Y = X, c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ) }.
% 0.93/1.49 { Y = X, c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! Y = X }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Y ), ! Y = X }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, X ) }.
% 0.93/1.49 { ! class_Int_Oring__char__0( X ), ! class_Rings_Oidom( X ), !
% 0.93/1.49 c_Polynomial_Opoly( X, Y ) = c_Polynomial_Opoly( X,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) ), Y =
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) }.
% 0.93/1.49 { ! class_Int_Oring__char__0( X ), ! class_Rings_Oidom( X ), ! Y =
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ),
% 0.93/1.49 c_Polynomial_Opoly( X, Y ) = c_Polynomial_Opoly( X,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) ) }.
% 0.93/1.49 { ! class_Int_Oring__char__0( X ), ! class_Rings_Oidom( X ), !
% 0.93/1.49 c_Polynomial_Opoly( X, Z ) = c_Polynomial_Opoly( X, Y ), Z = Y }.
% 0.93/1.49 { ! class_Int_Oring__char__0( X ), ! class_Rings_Oidom( X ), ! Z = Y,
% 0.93/1.49 c_Polynomial_Opoly( X, Z ) = c_Polynomial_Opoly( X, Y ) }.
% 0.93/1.49 { X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.93/1.49 tc_Nat_Onat ), X ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! X =
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.93/1.49 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.93/1.49 ( tc_Nat_Onat, Y, X ), Y ) }.
% 0.93/1.49 { ! class_Groups_Ozero( X ), !
% 0.93/1.49 c_Fundamental__Theorem__Algebra__Mirabelle_Opsize( X, Y ) =
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y =
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Polynomial_Opoly( X ) ) }.
% 0.93/1.49 { ! class_Groups_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero(
% 0.93/1.49 tc_Polynomial_Opoly( X ) ),
% 0.93/1.49 c_Fundamental__Theorem__Algebra__Mirabelle_Opsize( X, Y ) =
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.93/1.49 { ! class_Rings_Oidom( X ), ! hAPP( c_Polynomial_Opoly( X, Z ), Y ) =
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero(
% 0.93/1.49 tc_Polynomial_Opoly( X ) ), ! c_Polynomial_Oorder( X, Y, Z ) =
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.93/1.49 { ! class_Rings_Oidom( X ), ! Z = c_Groups_Ozero__class_Ozero(
% 0.93/1.49 tc_Polynomial_Opoly( X ) ), hAPP( c_Polynomial_Opoly( X, Z ), Y ) =
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.49 { ! class_Rings_Oidom( X ), c_Polynomial_Oorder( X, Y, Z ) =
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), hAPP( c_Polynomial_Opoly( X,
% 0.93/1.49 Z ), Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.49 { ! class_Orderings_Opreorder( X ), c_Orderings_Oord__class_Oless__eq( X, Y
% 0.93/1.49 , Y ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol5( T, U, W ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.93/1.49 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, T, Z ) ) ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.93/1.49 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, T, Z ) ), skol5( X, Y
% 0.93/1.49 , Z ) ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.93/1.49 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, hAPP(
% 0.93/1.49 c_Polynomial_Opoly( tc_Complex_Ocomplex, Y ), T ), hAPP(
% 0.93/1.49 c_Polynomial_Opoly( tc_Complex_Ocomplex, Y ), Z ) ) ), X ) }.
% 0.93/1.49 { ! class_Groups_Oab__group__add( X ), c_Groups_Ominus__class_Ominus( X,
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( X, Z ), c_Groups_Ouminus__class_Ouminus
% 0.93/1.49 ( X, Y ) ) = c_Groups_Ouminus__class_Ouminus( X,
% 0.93/1.49 c_Groups_Ominus__class_Ominus( X, Z, Y ) ) }.
% 0.93/1.49 { ! class_Orderings_Oorder( X ), ! c_SEQ_Odecseq( X, Y ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, T ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, hAPP( Y, T ), hAPP( Y, Z ) ) }.
% 0.93/1.49 { ! class_Orderings_Oorder( X ), c_Orderings_Oord__class_Oless__eq(
% 0.93/1.49 tc_Nat_Onat, skol6( X, Y ), skol34( X, Y ) ), c_SEQ_Odecseq( X, Y ) }.
% 0.93/1.49 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.49 hAPP( Y, skol34( X, Y ) ), hAPP( Y, skol6( X, Y ) ) ), c_SEQ_Odecseq( X,
% 0.93/1.49 Y ) }.
% 0.93/1.49 { ! class_Lattices_Oboolean__algebra( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.93/1.49 , Y ), c_Groups_Ouminus__class_Ouminus( X, Z ) ) }.
% 0.93/1.49 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), v_r ) }.
% 0.93/1.49 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, v_g____( X ) ), v_r
% 0.93/1.49 ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, Y ), Y = X }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, Z ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, Z ) }.
% 0.93/1.49 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, Y ) }.
% 0.93/1.49 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, X ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.93/1.49 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.93/1.49 ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.93/1.49 c_Int_OBit1( X ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.93/1.49 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.93/1.49 ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.93/1.49 c_Int_OBit1( X ) ) }.
% 0.93/1.49 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, c_Int_OPls )
% 0.93/1.49 }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.93/1.49 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.93/1.49 ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.93/1.49 c_Int_OBit0( X ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.93/1.49 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.93/1.49 ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.93/1.49 c_Int_OBit0( X ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ), ! Y = X }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ), Y = X,
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ), Y = X }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.93/1.49 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), ! Y = X }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ), Y = X,
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, c_Int_OBit1
% 0.93/1.49 ( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X )
% 0.93/1.49 }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, c_Int_OBit1(
% 0.93/1.49 X ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.93/1.49 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.93/1.49 ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.93/1.49 c_Int_OBit1( X ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.93/1.49 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.93/1.49 ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.93/1.49 c_Int_OBit1( X ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, c_Int_OBit0
% 0.93/1.49 ( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X )
% 0.93/1.49 }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, c_Int_OBit0(
% 0.93/1.49 X ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( X ),
% 0.93/1.49 c_Int_OPls ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X,
% 0.93/1.49 c_Int_OPls ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit0( X ),
% 0.93/1.49 c_Int_OPls ) }.
% 0.93/1.49 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( X, Y ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.93/1.49 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) ), alpha6( X, Y
% 0.93/1.49 ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.93/1.49 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) ), alpha24( X,
% 0.93/1.49 Y ) }.
% 0.93/1.49 { ! alpha6( X, Y ), ! alpha24( X, Y ), c_Orderings_Oord__class_Oless__eq(
% 0.93/1.49 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.93/1.49 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X ) ) }.
% 0.93/1.49 { ! alpha24( X, Y ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), alpha24( X, Y ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), alpha24( X, Y ) }.
% 0.93/1.49 { ! alpha6( X, Y ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y
% 0.93/1.49 , c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), alpha6( X, Y ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), alpha6( X, Y ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, X ),
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, X ),
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Y ), X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ), Y ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Y ), X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ), Y ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Y ), X ) }.
% 0.93/1.49 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( X, Y ), c_Groups_Ozero__class_Ozero(
% 0.93/1.49 tc_RealDef_Oreal ) ), Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.49 { ! class_RealVector_Oreal__normed__vector( X ), ! Y =
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ), c_Orderings_Oord__class_Oless__eq(
% 0.93/1.49 tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm( X, Y ),
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.93/1.49 { ! c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) =
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ),
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) =
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.93/1.49 { ! c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) =
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, X, c_Int_OPls ),
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) =
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, c_Int_OBit1( X
% 0.93/1.49 ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OPls, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OPls, c_Int_OBit1( X )
% 0.93/1.49 ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( X ),
% 0.93/1.49 c_Int_OPls ), c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls )
% 0.93/1.49 }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( X ),
% 0.93/1.49 c_Int_OPls ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.93/1.49 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.93/1.49 ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit1
% 0.93/1.49 ( X ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ),
% 0.93/1.49 c_Int_OBit1( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X
% 0.93/1.49 ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit1
% 0.93/1.49 ( X ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.93/1.49 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.93/1.49 .
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.93/1.49 c_Int_OBit0( X ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.93/1.49 c_Int_OBit0( X ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.93/1.49 .
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( Y ),
% 0.93/1.49 c_Int_OBit0( X ) ) }.
% 0.93/1.49 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.93/1.49 , Y ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.93/1.49 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.93/1.49 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( X, hAPP( Z, U ),
% 0.93/1.49 hAPP( Y, U ) ) }.
% 0.93/1.49 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.93/1.49 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.93/1.49 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.93/1.49 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Y = Z }.
% 0.93/1.49 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.93/1.49 , Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, T ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.93/1.49 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.93/1.49 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Z = Y }.
% 0.93/1.49 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.93/1.49 , Y ), ! Z = T, c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.93/1.49 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y
% 0.93/1.49 ), ! Y = T, c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.93/1.49 { ! class_Orderings_Oorder( X ), ! Z = Y, !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, T, Y ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, T, Z ) }.
% 0.93/1.49 { ! class_Orderings_Oord( X ), ! Z = Y, ! c_Orderings_Oord__class_Oless__eq
% 0.93/1.49 ( X, Y, T ), c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.93/1.49 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.93/1.49 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Y = Z }.
% 0.93/1.49 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.93/1.49 , Y ), ! Y = Z, c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.93/1.49 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.93/1.49 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( X, hAPP( Z, U ),
% 0.93/1.49 hAPP( Y, U ) ) }.
% 0.93/1.49 { ! class_Orderings_Opreorder( X ), ! Z = Y,
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.93/1.49 { ! class_Orderings_Oorder( X ), ! Z = Y, c_Orderings_Oord__class_Oless__eq
% 0.93/1.49 ( X, Z, Y ) }.
% 0.93/1.49 { ! class_Orderings_Oorder( X ), ! Z = Y, c_Orderings_Oord__class_Oless__eq
% 0.93/1.49 ( X, Y, Z ) }.
% 0.93/1.49 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.93/1.49 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Z = Y }.
% 0.93/1.49 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.93/1.49 , Y ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.93/1.49 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.93/1.49 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( X, hAPP( Z, U ),
% 0.93/1.49 hAPP( Y, U ) ) }.
% 0.93/1.49 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( X, hAPP
% 0.93/1.49 ( Z, skol7( X, Y, Z ) ), hAPP( Y, skol7( X, Y, Z ) ) ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Z, Y ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OPls ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OPls ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) }.
% 0.93/1.49 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.93/1.49 Y ) }.
% 0.93/1.49 { ! class_Orderings_Olinorder( X ), Z = Y, c_Orderings_Oord__class_Oless( X
% 0.93/1.49 , Z, Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.93/1.49 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.93/1.49 Y ), ! Z = Y }.
% 0.93/1.49 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.93/1.49 Z ), ! Z = Y }.
% 0.93/1.49 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.93/1.49 ), c_Orderings_Oord__class_Oless( X, Y, Z ), Z = Y }.
% 0.93/1.49 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.93/1.49 Z ), ! c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.93/1.49 { ! class_Orderings_Olinorder( X ), ! Z = Y, !
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.93/1.49 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.93/1.49 ), Z = Y, c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.93/1.49 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.93/1.49 ), c_Orderings_Oord__class_Oless( X, Y, Z ), Y = Z }.
% 0.93/1.49 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.93/1.49 ), ! Y = Z, ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.93/1.49 { ! class_Orderings_Olinorder( X ), Z = Y, c_Orderings_Oord__class_Oless( X
% 0.93/1.49 , Z, Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.93/1.49 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.93/1.49 , ! Z = Y }.
% 0.93/1.49 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.93/1.49 Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.93/1.49 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.93/1.49 Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.93/1.49 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.93/1.49 , ! Z = Y }.
% 0.93/1.49 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.93/1.49 , ! Y = Z }.
% 0.93/1.49 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.93/1.49 Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.93/1.49 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.93/1.49 , ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.93/1.49 { ! class_Orderings_Oord( X ), ! Z = Y, ! c_Orderings_Oord__class_Oless( X
% 0.93/1.49 , Y, T ), c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.93/1.49 { ! class_Orderings_Oorder( X ), ! Z = Y, ! c_Orderings_Oord__class_Oless(
% 0.93/1.49 X, T, Y ), c_Orderings_Oord__class_Oless( X, T, Z ) }.
% 0.93/1.49 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y ),
% 0.93/1.49 ! Y = T, c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.93/1.49 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.93/1.49 , ! Z = T, c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.93/1.49 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.93/1.49 Y ), ! c_Orderings_Oord__class_Oless( X, Y, T ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.93/1.49 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.93/1.49 , ! c_Orderings_Oord__class_Oless( X, T, Z ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.93/1.49 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.93/1.49 Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.93/1.49 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.93/1.49 ), Z = Y, c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.93/1.49 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.93/1.49 ( X, Y ) ), c_RealVector_Onorm__class_Onorm( X,
% 0.93/1.49 c_Groups_Ominus__class_Ominus( X, Z, Y ) ) ) }.
% 0.93/1.49 { ! class_Groups_Ominus( X ), hAPP( c_Groups_Ominus__class_Ominus( tc_fun(
% 0.93/1.49 U, X ), T, Z ), Y ) = c_Groups_Ominus__class_Ominus( X, hAPP( T, Y ),
% 0.93/1.49 hAPP( Z, Y ) ) }.
% 0.93/1.49 { ! class_Lattices_Oboolean__algebra( X ), c_Groups_Ouminus__class_Ouminus
% 0.93/1.49 ( X, c_Groups_Ouminus__class_Ouminus( X, Y ) ) = Y }.
% 0.93/1.49 { ! class_Groups_Ouminus( X ), hAPP( c_Groups_Ouminus__class_Ouminus(
% 0.93/1.49 tc_fun( T, X ), Z ), Y ) = c_Groups_Ouminus__class_Ouminus( X, hAPP( Z, Y
% 0.93/1.49 ) ) }.
% 0.93/1.49 { ! class_Lattices_Oboolean__algebra( X ), !
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( X, Z ) = c_Groups_Ouminus__class_Ouminus
% 0.93/1.49 ( X, Y ), Z = Y }.
% 0.93/1.49 { ! class_Lattices_Oboolean__algebra( X ), ! Z = Y,
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( X, Z ) = c_Groups_Ouminus__class_Ouminus
% 0.93/1.49 ( X, Y ) }.
% 0.93/1.49 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.93/1.49 ( X, Y ) ) ), c_RealVector_Onorm__class_Onorm( X,
% 0.93/1.49 c_Groups_Ominus__class_Ominus( X, Z, Y ) ) ) }.
% 0.93/1.49 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.93/1.49 ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.93/1.49 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.93/1.49 , Y, Z ), ! c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.93/1.49 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.93/1.49 , Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.93/1.49 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless( X, Y,
% 0.93/1.49 Z ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.93/1.49 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.93/1.49 , Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.93/1.49 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.93/1.49 , c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.93/1.49 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.93/1.49 , ! Z = Y }.
% 0.93/1.49 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.93/1.49 , Y ), Z = Y, c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.93/1.49 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.93/1.49 Y ), c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.93/1.49 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.93/1.49 Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.93/1.49 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.93/1.49 , Z, Y ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.93/1.49 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.93/1.49 , Y ), c_Orderings_Oord__class_Oless( X, Z, Y ), Z = Y }.
% 0.93/1.49 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.93/1.49 , c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.93/1.49 { ! class_Orderings_Oorder( X ), ! Z = Y, c_Orderings_Oord__class_Oless__eq
% 0.93/1.49 ( X, Z, Y ) }.
% 0.93/1.49 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.93/1.49 ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.93/1.49 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.93/1.49 , Y ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.93/1.49 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.93/1.49 ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ), Z = Y }.
% 0.93/1.49 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless( X, Z, Y
% 0.93/1.49 ), ! Z = Y, c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.93/1.49 { ! class_Orderings_Oorder( X ), Z = Y, ! c_Orderings_Oord__class_Oless__eq
% 0.93/1.49 ( X, Z, Y ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.93/1.49 { ! class_Orderings_Oorder( X ), Z = Y, ! c_Orderings_Oord__class_Oless__eq
% 0.93/1.49 ( X, Y, Z ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.93/1.49 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.93/1.49 , Z, Y ), ! c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.93/1.49 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.93/1.49 Y ), c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.93/1.49 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.93/1.49 , Z, Y ), c_Orderings_Oord__class_Oless( X, Z, Y ), Z = Y }.
% 0.93/1.49 { ! class_Orderings_Olinorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.93/1.49 , Z, Y ), ! Z = Y, ! c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.93/1.49 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.93/1.49 , Y ), c_Orderings_Oord__class_Oless( X, Z, Y ), Z = Y }.
% 0.93/1.49 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.93/1.49 , Y ), Z = Y, c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.93/1.49 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.93/1.49 , Y ), Y = Z, c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.93/1.49 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless( X, Z,
% 0.93/1.49 Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, T ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.93/1.49 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless( X, Z, Y )
% 0.93/1.49 , ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.93/1.49 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.93/1.49 , Z, Y ), ! c_Orderings_Oord__class_Oless( X, Y, T ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.93/1.49 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.93/1.49 , Y ), ! c_Orderings_Oord__class_Oless( X, T, Z ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.93/1.49 { ! class_Lattices_Oboolean__algebra( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.93/1.49 , Z ), c_Groups_Ouminus__class_Ouminus( X, Y ) ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.93/1.49 { ! class_Lattices_Oboolean__algebra( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, Y, Z ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ouminus__class_Ouminus( X
% 0.93/1.49 , Z ), c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.93/1.49 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.49 c_Int_OPls ) ) ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit0( X ) ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit1( X ) ) ) }.
% 0.93/1.49 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit1( c_Int_OBit1(
% 0.93/1.49 c_Int_OPls ) ) ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ), v_r ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.93/1.49 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), X ) ) ) }.
% 0.93/1.49 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OPls ) ) }.
% 0.93/1.49 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Complex_Ocomplex ) ), v_r ) }.
% 0.93/1.49 { c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.93/1.49 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ),
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Complex_Ocomplex ) ) ) =
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.93/1.49 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ),
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Complex_Ocomplex ) ) ) ) ) }.
% 0.93/1.49 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, v_w____ ), v_r ) }
% 0.93/1.49 .
% 0.93/1.49 { ! alpha7( Y ), ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, Y )
% 0.93/1.49 , c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, v_s____ ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, v_s____ ), alpha7(
% 0.93/1.49 skol8( Y ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, v_s____ ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, skol8( X ) ) }.
% 0.93/1.49 { ! alpha7( X ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, skol9( Y ) ), v_r )
% 0.93/1.49 }.
% 0.93/1.49 { ! alpha7( X ), c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP
% 0.93/1.49 ( c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), skol9( X ) ) ) =
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, Y ), v_r ), !
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.93/1.49 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), Y ) ) =
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ), alpha7( X ) }.
% 0.93/1.49 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless( tc_fun( T,
% 0.93/1.49 X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Z, Y ) }
% 0.93/1.49 .
% 0.93/1.49 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless( tc_fun( T,
% 0.93/1.49 X ), Z, Y ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Y, Z )
% 0.93/1.49 }.
% 0.93/1.49 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.93/1.49 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Y, Z
% 0.93/1.49 ), c_Orderings_Oord__class_Oless( tc_fun( T, X ), Z, Y ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, Y ), Y = X }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, Z ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, Z ) }.
% 0.93/1.49 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, Y ) }.
% 0.93/1.49 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X, X ) }.
% 0.93/1.49 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Ozero__class_Ozero(
% 0.93/1.49 tc_Int_Oint ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ), v_r ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.93/1.49 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), X ) ),
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, skol10 ), v_r ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.93/1.49 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), skol10 ) ),
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, Y ), v_r ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.93/1.49 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), Y ) ), X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ), X ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ), X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, skol11( Y ) ), v_r
% 0.93/1.49 ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ), X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.93/1.49 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), skol11( X ) ) ), X ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, Y ), v_r ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.93/1.49 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), Y ) ) ) ), X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ), X ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ), X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, skol12( Y ) ), v_r
% 0.93/1.49 ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ), X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.93/1.49 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), skol12( X ) ) ) ) ), X )
% 0.93/1.49 }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, Y ), v_r ), !
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.93/1.49 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), Y ) ) =
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, skol13 ) }.
% 0.93/1.49 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), v_r ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ), v_r ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.93/1.49 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), skol14 ) ),
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.93/1.49 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), X ) ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ), v_r ), !
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.93/1.49 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), X ) ) =
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y,
% 0.93/1.49 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.93/1.49 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ) ),
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ) ) }.
% 0.93/1.49 { ! alpha8( Y ), ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, Y )
% 0.93/1.49 , c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, skol15 ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, skol15 ), alpha8(
% 0.93/1.49 skol35( Y ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, skol15 ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X, skol35( X ) ) }.
% 0.93/1.49 { ! alpha8( X ), c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, skol16( Y ) ), v_r
% 0.93/1.49 ) }.
% 0.93/1.49 { ! alpha8( X ), c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP
% 0.93/1.49 ( c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), skol16( X ) ) ) =
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, Y ), v_r ), !
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.93/1.49 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), Y ) ) =
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ), alpha8( X ) }.
% 0.93/1.49 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, skol17 ), v_r ) }.
% 0.93/1.49 { c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.93/1.49 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), skol17 ) ) =
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, skol36 ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.93/1.49 c_Nat__Transfer_Otsub( X, Y ) = c_Groups_Ominus__class_Ominus(
% 0.93/1.49 tc_Int_Oint, X, Y ) }.
% 0.93/1.49 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.93/1.49 c_Nat__Transfer_Otsub( X, Y ) = c_Groups_Ozero__class_Ozero( tc_Int_Oint
% 0.93/1.49 ) }.
% 0.93/1.49 { ! class_Groups_Oone( X ), ! c_Groups_Oone__class_Oone( X ) = Y, Y =
% 0.93/1.49 c_Groups_Oone__class_Oone( X ) }.
% 0.93/1.49 { ! class_Groups_Oone( X ), ! Y = c_Groups_Oone__class_Oone( X ),
% 0.93/1.49 c_Groups_Oone__class_Oone( X ) = Y }.
% 0.93/1.49 { ! class_RealVector_Oreal__normed__algebra__1( X ),
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( X, c_Groups_Oone__class_Oone( X ) ) =
% 0.93/1.49 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.93/1.49 { ! class_Rings_Ocomm__semiring__1( X ), hAPP( c_Polynomial_Opoly( X,
% 0.93/1.49 c_Groups_Oone__class_Oone( tc_Polynomial_Opoly( X ) ) ), Y ) =
% 0.93/1.49 c_Groups_Oone__class_Oone( X ) }.
% 0.93/1.49 { ! class_Rings_Ozero__neq__one( X ), ! c_Groups_Ozero__class_Ozero( X ) =
% 0.93/1.49 c_Groups_Oone__class_Oone( X ) }.
% 0.93/1.49 { ! class_Rings_Ozero__neq__one( X ), ! c_Groups_Oone__class_Oone( X ) =
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.49 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X, Y
% 0.93/1.49 , c_Groups_Oone__class_Oone( X ) ) = Y }.
% 0.93/1.49 { ! class_Rings_Olinordered__idom( X ), c_Groups_Oabs__class_Oabs( X,
% 0.93/1.49 c_Groups_Oone__class_Oone( X ) ) = c_Groups_Oone__class_Oone( X ) }.
% 0.93/1.49 { ! c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) =
% 0.93/1.49 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.93/1.49 { ! class_Rings_Olinordered__semidom( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ),
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.93/1.49 { ! class_Rings_Olinordered__semidom( X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.93/1.49 c_Groups_Oone__class_Oone( X ) ) }.
% 0.93/1.49 { ! class_Rings_Olinordered__semidom( X ), c_Orderings_Oord__class_Oless( X
% 0.93/1.49 , c_Groups_Ozero__class_Ozero( X ), c_Groups_Oone__class_Oone( X ) ) }.
% 0.93/1.49 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.93/1.49 ( X, c_Groups_Oone__class_Oone( X ), c_Groups_Ozero__class_Ozero( X ) ) }
% 0.93/1.49 .
% 0.93/1.49 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.93/1.49 , ! c_Rings_Oinverse__class_Odivide( X, Z, Y ) =
% 0.93/1.49 c_Groups_Oone__class_Oone( X ), Z = Y }.
% 0.93/1.49 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.93/1.49 , ! Z = Y, c_Rings_Oinverse__class_Odivide( X, Z, Y ) =
% 0.93/1.49 c_Groups_Oone__class_Oone( X ) }.
% 0.93/1.49 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.93/1.49 , c_Rings_Oinverse__class_Odivide( X, Y, Y ) = c_Groups_Oone__class_Oone
% 0.93/1.49 ( X ) }.
% 0.93/1.49 { ! class_Rings_Odivision__ring__inverse__zero( X ), ! Y =
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 0.93/1.49 Y ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.49 { ! class_Rings_Odivision__ring__inverse__zero( X ), Y =
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X, Y,
% 0.93/1.49 Y ) = c_Groups_Oone__class_Oone( X ) }.
% 0.93/1.49 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.93/1.49 c_Int_OBit1( c_Int_OPls ) ) = c_Groups_Oone__class_Oone( X ) }.
% 0.93/1.49 { ! class_Int_Onumber__ring( X ), c_Groups_Oone__class_Oone( X ) =
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit1( c_Int_OPls ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Nat__Transfer_Otsub( X, Y )
% 0.93/1.49 ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.93/1.49 c_Nat__Transfer_Otsub( X, Y ) = c_Groups_Ominus__class_Ominus(
% 0.93/1.49 tc_Int_Oint, X, Y ) }.
% 0.93/1.49 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Int_Onumber__class_Onumber__of( X
% 0.93/1.49 , Y ), c_Groups_Oone__class_Oone( X ) ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OBit1(
% 0.93/1.49 c_Int_OPls ) ) }.
% 0.93/1.49 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, c_Int_OBit1(
% 0.93/1.49 c_Int_OPls ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Oone__class_Oone( X )
% 0.93/1.49 ) }.
% 0.93/1.49 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ),
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( c_Int_OPls )
% 0.93/1.49 , Y ) }.
% 0.93/1.49 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, c_Int_OBit1( c_Int_OPls )
% 0.93/1.49 , Y ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X
% 0.93/1.49 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.93/1.49 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X, Y
% 0.93/1.49 ), c_Groups_Oone__class_Oone( X ) ), c_Orderings_Oord__class_Oless(
% 0.93/1.49 tc_Int_Oint, Y, c_Int_OBit1( c_Int_OPls ) ) }.
% 0.93/1.49 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OBit1( c_Int_OPls )
% 0.93/1.49 ), c_Orderings_Oord__class_Oless( X, c_Int_Onumber__class_Onumber__of( X
% 0.93/1.49 , Y ), c_Groups_Oone__class_Oone( X ) ) }.
% 0.93/1.49 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ),
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( X, Y ) ), c_Orderings_Oord__class_Oless
% 0.93/1.49 ( tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), Y ) }.
% 0.93/1.49 { ! class_Int_Onumber__ring( X ), ! class_Rings_Olinordered__idom( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), Y
% 0.93/1.49 ), c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ),
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.93/1.49 { ! class_Fields_Olinordered__field__inverse__zero( X ), !
% 0.93/1.49 class_Int_Onumber__ring( X ), c_Orderings_Oord__class_Oless( X,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.93/1.49 c_Groups_Oone__class_Oone( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.93/1.49 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.93/1.49 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.93/1.49 ( X, c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of
% 0.93/1.49 ( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ),
% 0.93/1.49 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.93/1.49 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.93/1.49 ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.93/1.49 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.93/1.49 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), v_g____( X ) ) ),
% 0.93/1.49 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 0.93/1.49 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.93/1.49 tc_Nat_Onat, c_Nat_OSuc( X ) ) ) ) ) }.
% 0.93/1.49 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol18( Z, T ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, Z ), Y ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.93/1.49 c_Polynomial_Opoly( tc_Complex_Ocomplex, X ), Z ) ), skol18( X, Y ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.49 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X, c_NthRoot_Osqrt(
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.93/1.49 c_Int_OBit1( c_Int_OPls ) ) ) ) ), X ) }.
% 0.93/1.49 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc( X ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), c_Nat_OSuc(
% 0.93/1.49 X ) ) }.
% 0.93/1.49 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.93/1.49 tc_Nat_Onat ), c_Nat_OSuc( X ) ) }.
% 0.93/1.49 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.93/1.49 tc_Nat_Onat, X ) ) }.
% 0.93/1.49 { ! c_NthRoot_Osqrt( X ) = c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X
% 0.93/1.49 = c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.93/1.49 { ! X = c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X )
% 0.93/1.49 = c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.93/1.49 { c_NthRoot_Osqrt( c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) =
% 0.93/1.49 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.93/1.49 { c_RealDef_Oreal( tc_Nat_Onat, c_Nat_OSuc( X ) ) =
% 0.93/1.49 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.93/1.49 tc_Nat_Onat, X ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.93/1.49 { c_RealDef_Oreal( tc_Nat_Onat, c_Groups_Oone__class_Oone( tc_Nat_Onat ) )
% 0.93/1.49 = c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.93/1.49 { c_Groups_Oone__class_Oone( tc_Nat_Onat ) = c_Nat_OSuc(
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.93/1.49 { c_RealDef_Oreal( tc_Nat_Onat, c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 0.93/1.49 tc_Nat_Onat ) ) ) = c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) }.
% 0.93/1.49 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Nat_OSuc( X ),
% 0.93/1.49 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) = X }.
% 0.93/1.49 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) =
% 0.93/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.93/1.49 ( tc_Nat_Onat, Y, c_Groups_Oone__class_Oone( tc_Nat_Onat ) ), X ) }.
% 0.93/1.49 { ! class_RealVector_Oreal__normed__algebra__1( X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( X, c_Power_Opower__class_Opower( X, Z, Y
% 0.93/1.49 ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal,
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( X, Z ), Y ) ) }.
% 0.93/1.49 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( X, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.93/1.49 ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.93/1.49 ( X, Y ) ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_NthRoot_Osqrt( Y )
% 0.93/1.49 , c_NthRoot_Osqrt( X ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_NthRoot_Osqrt( Y
% 0.93/1.49 ), c_NthRoot_Osqrt( X ) ), c_Orderings_Oord__class_Oless__eq(
% 0.93/1.49 tc_RealDef_Oreal, Y, X ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_NthRoot_Osqrt( Y )
% 0.93/1.49 , c_NthRoot_Osqrt( X ) ) }.
% 0.93/1.49 { ! class_Rings_Oidom( X ), ! c_Power_Opower__class_Opower( X, Z,
% 0.93/1.49 c_Nat_OSuc( c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) )
% 0.93/1.49 = c_Power_Opower__class_Opower( X, Y, c_Nat_OSuc( c_Nat_OSuc(
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) ), Z = Y, Z =
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( X, Y ) }.
% 0.93/1.49 { ! class_Rings_Oidom( X ), ! Z = Y, c_Power_Opower__class_Opower( X, Z,
% 0.93/1.49 c_Nat_OSuc( c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) )
% 0.93/1.49 = c_Power_Opower__class_Opower( X, Y, c_Nat_OSuc( c_Nat_OSuc(
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) ) }.
% 0.93/1.49 { ! class_Rings_Oidom( X ), ! Z = c_Groups_Ouminus__class_Ouminus( X, Y ),
% 0.93/1.49 c_Power_Opower__class_Opower( X, Z, c_Nat_OSuc( c_Nat_OSuc(
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) ) =
% 0.93/1.49 c_Power_Opower__class_Opower( X, Y, c_Nat_OSuc( c_Nat_OSuc(
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) ) }.
% 0.93/1.49 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( X, T ), c_Groups_Ominus__class_Ominus(
% 0.93/1.49 X, c_Int_Onumber__class_Onumber__of( X, Z ), Y ) ) =
% 0.93/1.49 c_Groups_Ominus__class_Ominus( X, c_Int_Onumber__class_Onumber__of( X,
% 0.93/1.49 c_Groups_Oplus__class_Oplus( tc_Int_Oint, T, Z ) ), Y ) }.
% 0.93/1.49 { ! c_NthRoot_Osqrt( X ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal )
% 0.93/1.49 , X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.93/1.49 { ! X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X
% 0.93/1.49 ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.93/1.49 { c_NthRoot_Osqrt( c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) =
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.93/1.49 { ! X = c_Nat_OSuc( X ) }.
% 0.93/1.49 { ! c_Nat_OSuc( X ) = X }.
% 0.93/1.49 { ! c_Nat_OSuc( Y ) = c_Nat_OSuc( X ), Y = X }.
% 0.93/1.49 { ! Y = X, c_Nat_OSuc( Y ) = c_Nat_OSuc( X ) }.
% 0.93/1.49 { ! class_Rings_Ocomm__semiring__1( X ), hAPP( c_Polynomial_Opoly( X,
% 0.93/1.49 c_Power_Opower__class_Opower( tc_Polynomial_Opoly( X ), T, Z ) ), Y ) =
% 0.93/1.49 c_Power_Opower__class_Opower( X, hAPP( c_Polynomial_Opoly( X, T ), Y ), Z
% 0.93/1.49 ) }.
% 0.93/1.49 { ! class_Rings_Ocomm__semiring__0( X ), hAPP( c_Polynomial_Opoly( X,
% 0.93/1.49 c_Groups_Oplus__class_Oplus( tc_Polynomial_Opoly( X ), T, Z ) ), Y ) =
% 0.93/1.49 c_Groups_Oplus__class_Oplus( X, hAPP( c_Polynomial_Opoly( X, T ), Y ),
% 0.93/1.49 hAPP( c_Polynomial_Opoly( X, Z ), Y ) ) }.
% 0.93/1.49 { ! c_Nat_OSuc( Y ) = c_Nat_OSuc( X ), Y = X }.
% 0.93/1.49 { c_RealDef_Oreal( tc_Nat_Onat, c_Power_Opower__class_Opower( tc_Nat_Onat,
% 0.93/1.49 Y, X ) ) = c_Power_Opower__class_Opower( tc_RealDef_Oreal,
% 0.93/1.49 c_RealDef_Oreal( tc_Nat_Onat, Y ), X ) }.
% 0.93/1.49 { c_Power_Opower__class_Opower( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.93/1.49 tc_Nat_Onat, Y ), X ) = c_RealDef_Oreal( tc_Nat_Onat,
% 0.93/1.49 c_Power_Opower__class_Opower( tc_Nat_Onat, Y, X ) ) }.
% 0.93/1.49 { ! c_RealDef_Oreal( tc_Nat_Onat, Y ) = c_RealDef_Oreal( tc_Nat_Onat, X ),
% 0.93/1.49 Y = X }.
% 0.93/1.49 { ! Y = X, c_RealDef_Oreal( tc_Nat_Onat, Y ) = c_RealDef_Oreal( tc_Nat_Onat
% 0.93/1.49 , X ) }.
% 0.93/1.49 { ! class_RealVector_Oreal__normed__div__algebra( X ),
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( X, c_Power_Opower__class_Opower( X, Z, Y
% 0.93/1.49 ) ) = c_Power_Opower__class_Opower( tc_RealDef_Oreal,
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( X, Z ), Y ) }.
% 0.93/1.49 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.93/1.49 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, Y ) ) =
% 0.93/1.49 c_Groups_Oplus__class_Oplus( X, c_Int_Onumber__class_Onumber__of( X, Z )
% 0.93/1.49 , c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.93/1.49 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( X, Z ),
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.93/1.49 tc_Int_Oint, Z, Y ) ) }.
% 0.93/1.49 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( X, T ), c_Groups_Oplus__class_Oplus( X
% 0.93/1.49 , c_Int_Onumber__class_Onumber__of( X, Z ), Y ) ) =
% 0.93/1.49 c_Groups_Oplus__class_Oplus( X, c_Int_Onumber__class_Onumber__of( X,
% 0.93/1.49 c_Groups_Oplus__class_Oplus( tc_Int_Oint, T, Z ) ), Y ) }.
% 0.93/1.49 { c_NthRoot_Osqrt( c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y, X ) )
% 0.93/1.49 = c_Power_Opower__class_Opower( tc_RealDef_Oreal, c_NthRoot_Osqrt( Y ),
% 0.93/1.49 X ) }.
% 0.93/1.49 { ! c_NthRoot_Osqrt( Y ) = c_NthRoot_Osqrt( X ), Y = X }.
% 0.93/1.49 { ! Y = X, c_NthRoot_Osqrt( Y ) = c_NthRoot_Osqrt( X ) }.
% 0.93/1.49 { ! class_Groups_Oab__semigroup__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.93/1.49 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.93/1.49 ( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y ) ) }.
% 0.93/1.49 { ! class_Groups_Ocancel__semigroup__add( X ), !
% 0.93/1.49 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.93/1.49 T, Y ), Z = Y }.
% 0.93/1.49 { ! class_Groups_Ocancel__semigroup__add( X ), ! Z = Y,
% 0.93/1.49 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.93/1.49 T, Y ) }.
% 0.93/1.49 { ! class_Groups_Ocancel__semigroup__add( X ), !
% 0.93/1.49 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.93/1.49 Y, Z ), T = Y }.
% 0.93/1.49 { ! class_Groups_Ocancel__semigroup__add( X ), ! T = Y,
% 0.93/1.49 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.93/1.49 Y, Z ) }.
% 0.93/1.49 { ! class_Groups_Ocancel__semigroup__add( X ), !
% 0.93/1.49 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.93/1.49 T, Y ), Z = Y }.
% 0.93/1.49 { ! class_Groups_Ocancel__ab__semigroup__add( X ), !
% 0.93/1.49 c_Groups_Oplus__class_Oplus( X, T, Z ) = c_Groups_Oplus__class_Oplus( X,
% 0.93/1.49 T, Y ), Z = Y }.
% 0.93/1.49 { ! class_Groups_Ocancel__semigroup__add( X ), !
% 0.93/1.49 c_Groups_Oplus__class_Oplus( X, Z, T ) = c_Groups_Oplus__class_Oplus( X,
% 0.93/1.49 Y, T ), Z = Y }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.93/1.49 , c_Groups_Oplus__class_Oplus( X, T, Y ) ), c_Orderings_Oord__class_Oless
% 0.93/1.49 ( X, Z, Y ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Z, T )
% 0.93/1.49 , c_Groups_Oplus__class_Oplus( X, Y, T ) ), c_Orderings_Oord__class_Oless
% 0.93/1.49 ( X, Z, Y ) }.
% 0.93/1.49 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.93/1.49 ( X, U, T ), c_Orderings_Oord__class_Oless( X,
% 0.93/1.49 c_Groups_Oplus__class_Oplus( X, Z, U ), c_Groups_Oplus__class_Oplus( X, Y
% 0.93/1.49 , T ) ) }.
% 0.93/1.49 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.93/1.49 X, c_Groups_Oplus__class_Oplus( X, T, Z ), c_Groups_Oplus__class_Oplus( X
% 0.93/1.49 , T, Y ) ) }.
% 0.93/1.49 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.93/1.49 X, c_Groups_Oplus__class_Oplus( X, Z, T ), c_Groups_Oplus__class_Oplus( X
% 0.93/1.49 , Y, T ) ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.93/1.49 , c_Groups_Oplus__class_Oplus( X, T, Y ) ), c_Orderings_Oord__class_Oless
% 0.93/1.49 ( X, Z, Y ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, Z, Y ), c_Orderings_Oord__class_Oless(
% 0.93/1.49 X, c_Groups_Oplus__class_Oplus( X, T, Z ), c_Groups_Oplus__class_Oplus( X
% 0.93/1.49 , T, Y ) ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.93/1.49 , c_Groups_Oplus__class_Oplus( X, Y, Z ) ), c_Orderings_Oord__class_Oless
% 0.93/1.49 ( X, T, Y ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, T, Y ), c_Orderings_Oord__class_Oless(
% 0.93/1.49 X, c_Groups_Oplus__class_Oplus( X, T, Z ), c_Groups_Oplus__class_Oplus( X
% 0.93/1.49 , Y, Z ) ) }.
% 0.93/1.49 { c_NthRoot_Osqrt( c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) )
% 0.93/1.49 = c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, c_NthRoot_Osqrt( X
% 0.93/1.49 ) ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.93/1.49 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.93/1.49 T ), c_Groups_Oplus__class_Oplus( X, Y, T ) ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__semigroup__add( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.93/1.49 U ), c_Groups_Oplus__class_Oplus( X, Y, T ) ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__semigroup__add( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.93/1.49 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__semigroup__add( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Z,
% 0.93/1.49 T ), c_Groups_Oplus__class_Oplus( X, Y, T ) ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.93/1.49 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.93/1.49 Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.93/1.49 Z ), c_Groups_Oplus__class_Oplus( X, Y, Z ) ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__semigroup__add__imp__le( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, T, Y ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, T,
% 0.93/1.49 Z ), c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.93/1.49 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.93/1.49 c_Groups_Oplus__class_Oplus( X, Y, Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.93/1.49 , Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.49 { ! class_Groups_Olinordered__ab__group__add( X ), ! Y =
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.93/1.49 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.49 { ! class_Groups_Ocomm__monoid__add( X ), c_Groups_Oplus__class_Oplus( X, Y
% 0.93/1.49 , c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.93/1.49 { ! class_Groups_Omonoid__add( X ), c_Groups_Oplus__class_Oplus( X, Y,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.93/1.49 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ) = c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.93/1.49 , Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.49 { ! class_Groups_Olinordered__ab__group__add( X ), ! Y =
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ), c_Groups_Ozero__class_Ozero( X ) =
% 0.93/1.49 c_Groups_Oplus__class_Oplus( X, Y, Y ) }.
% 0.93/1.49 { ! class_Groups_Ocomm__monoid__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ), Y ) = Y }.
% 0.93/1.49 { ! class_Groups_Omonoid__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ), Y ) = Y }.
% 0.93/1.49 { c_NthRoot_Osqrt( c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, X
% 0.93/1.49 ) ) = c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, c_NthRoot_Osqrt
% 0.93/1.49 ( Y ), c_NthRoot_Osqrt( X ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_NthRoot_Osqrt( Y ),
% 0.93/1.49 c_NthRoot_Osqrt( X ) ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.49 Y, X ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_NthRoot_Osqrt( Y ),
% 0.93/1.49 c_NthRoot_Osqrt( X ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_NthRoot_Osqrt( Y ),
% 0.93/1.49 c_NthRoot_Osqrt( X ) ) }.
% 0.93/1.49 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( X, Z ), Y ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( X, U ), T ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( X, c_Groups_Oplus__class_Oplus( X, Z, U
% 0.93/1.49 ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, T ) ) }.
% 0.93/1.49 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.93/1.49 tc_Nat_Onat, c_Nat_OSuc( X ) ) ) }.
% 0.93/1.49 { ! class_Groups_Ogroup__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.93/1.49 c_Groups_Ominus__class_Ominus( X, Z, Y ), Y ) = Z }.
% 0.93/1.49 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X,
% 0.93/1.49 c_Groups_Oplus__class_Oplus( X, Z, Y ), Y ) = Z }.
% 0.93/1.49 { ! class_Groups_Oab__group__add( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.93/1.49 c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus( X
% 0.93/1.49 , c_Groups_Ouminus__class_Ouminus( X, Z ),
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.93/1.49 { ! class_Groups_Ogroup__add( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.93/1.49 c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus( X
% 0.93/1.49 , c_Groups_Ouminus__class_Ouminus( X, Y ),
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( X, Z ) ) }.
% 0.93/1.49 { ! class_Groups_Ogroup__add( X ), c_Groups_Oplus__class_Oplus( X, Z,
% 0.93/1.49 c_Groups_Oplus__class_Oplus( X, c_Groups_Ouminus__class_Ouminus( X, Z ),
% 0.93/1.49 Y ) ) = Y }.
% 0.93/1.49 { ! class_Groups_Ogroup__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( X, Z ), c_Groups_Oplus__class_Oplus( X,
% 0.93/1.49 Z, Y ) ) = Y }.
% 0.93/1.49 { ! c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) = c_Nat_OSuc( X ) }.
% 0.93/1.49 { ! c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) = c_Nat_OSuc( X ) }.
% 0.93/1.49 { ! c_Nat_OSuc( X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.93/1.49 { ! c_Nat_OSuc( X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.93/1.49 { ! c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) = c_Nat_OSuc( X ) }.
% 0.93/1.49 { ! c_Nat_OSuc( X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.93/1.49 { ! class_Rings_Odivision__ring( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.93/1.49 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.93/1.49 ( X, c_Rings_Oinverse__class_Odivide( X, T, Y ),
% 0.93/1.49 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.93/1.49 { ! class_RealVector_Oreal__normed__field( X ),
% 0.93/1.49 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, T, Z
% 0.93/1.49 ), Y ) = c_Groups_Oplus__class_Oplus( X, c_Rings_Oinverse__class_Odivide
% 0.93/1.49 ( X, T, Y ), c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Z, Y ),
% 0.93/1.49 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Z, X ) ) }.
% 0.93/1.49 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc( Y ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc( Y ) ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), Y = X }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.93/1.49 { ! Y = X, c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) )
% 0.93/1.49 }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), c_Nat_OSuc
% 0.93/1.49 ( X ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), c_Nat_OSuc(
% 0.93/1.49 X ) ) }.
% 0.93/1.49 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ), Y = X }
% 0.93/1.49 .
% 0.93/1.49 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), ! Y = X,
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.93/1.49 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ), X = Y }
% 0.93/1.49 .
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), c_Nat_OSuc( Y ) = X
% 0.93/1.49 , c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, Z ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), Z ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), Y = X }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Nat_OSuc( Y ), c_Nat_OSuc
% 0.93/1.49 ( X ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.93/1.49 c_Groups_Oabs__class_Oabs( X, c_Groups_Oplus__class_Oplus( X,
% 0.93/1.49 c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) ) )
% 0.93/1.49 = c_Groups_Oplus__class_Oplus( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 0.93/1.49 c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.93/1.49 { c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, c_RealDef_Oreal( tc_Nat_Onat
% 0.93/1.49 , X ) ) = c_RealDef_Oreal( tc_Nat_Onat, X ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), Y = c_Nat_OSuc( X
% 0.93/1.49 ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ),
% 0.93/1.49 c_Nat_OSuc( X ) ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X )
% 0.93/1.49 }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ),
% 0.93/1.49 c_Nat_OSuc( X ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), Y = c_Nat_OSuc( X
% 0.93/1.49 ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.93/1.49 { ! Y = c_Nat_OSuc( X ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y
% 0.93/1.49 , c_Nat_OSuc( X ) ) }.
% 0.93/1.49 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( X ), Y ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( X ), Y ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( X ), X ) }
% 0.93/1.49 .
% 0.93/1.49 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Nat_OSuc( Y ), c_Nat_OSuc(
% 0.93/1.49 X ) ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) }.
% 0.93/1.49 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.93/1.49 ( tc_Nat_Onat, c_Nat_OSuc( Z ), Y ), c_Nat_OSuc( X ) ) =
% 0.93/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.93/1.49 ( tc_Nat_Onat, Z, Y ), X ) }.
% 0.93/1.49 { ! c_Groups_Ozero__class_Ozero( tc_Int_Oint ) = c_Groups_Oone__class_Oone
% 0.93/1.49 ( tc_Int_Oint ) }.
% 0.93/1.49 { ! class_Rings_Olinordered__semidom( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.93/1.49 ), ! c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Oone__class_Oone
% 0.93/1.49 ( X ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.49 c_Power_Opower__class_Opower( X, Y, c_Nat_OSuc( Z ) ), Y ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.93/1.49 tc_Nat_Onat, Y ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.93/1.49 c_RealDef_Oreal( tc_Nat_Onat, X ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.93/1.49 tc_Nat_Onat, Y ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.93/1.49 c_RealDef_Oreal( tc_Nat_Onat, X ) ), c_Orderings_Oord__class_Oless(
% 0.93/1.49 tc_Nat_Onat, Y, X ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.93/1.49 tc_Nat_Onat, Y ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.93/1.49 c_RealDef_Oreal( tc_Nat_Onat, X ), c_Groups_Oone__class_Oone(
% 0.93/1.49 tc_RealDef_Oreal ) ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.93/1.49 tc_Nat_Onat, Y ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.93/1.49 c_RealDef_Oreal( tc_Nat_Onat, X ), c_Groups_Oone__class_Oone(
% 0.93/1.49 tc_RealDef_Oreal ) ) ), c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y
% 0.93/1.49 , X ) }.
% 0.93/1.49 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus( X,
% 0.93/1.49 c_Groups_Oplus__class_Oplus( X, U, T ), c_Groups_Oplus__class_Oplus( X, Z
% 0.93/1.49 , Y ) ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus( X, U,
% 0.93/1.49 Z ) ), c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus
% 0.93/1.49 ( X, T, Y ) ) ) ) }.
% 0.93/1.49 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( X, T ), c_Groups_Ominus__class_Ominus(
% 0.93/1.49 X, Z, c_Int_Onumber__class_Onumber__of( X, Y ) ) ) =
% 0.93/1.49 c_Groups_Oplus__class_Oplus( X, c_Int_Onumber__class_Onumber__of( X,
% 0.93/1.49 c_Groups_Oplus__class_Oplus( tc_Int_Oint, T,
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y ) ) ), Z ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.93/1.49 ( tc_Nat_Onat ), X ), X = c_Nat_OSuc( c_Groups_Ominus__class_Ominus(
% 0.93/1.49 tc_Nat_Onat, X, c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.93/1.49 ( tc_Nat_Onat ), X ), c_Nat_OSuc( c_Groups_Ominus__class_Ominus(
% 0.93/1.49 tc_Nat_Onat, X, c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) ) = X }.
% 0.93/1.49 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_NthRoot_Osqrt(
% 0.93/1.49 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.93/1.49 c_Power_Opower__class_Opower( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, T, Z ),
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.49 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.49 c_Int_OPls ) ) ) ) ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.93/1.49 c_NthRoot_Osqrt( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.93/1.49 c_Power_Opower__class_Opower( tc_RealDef_Oreal, T,
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.49 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.49 c_Int_OPls ) ) ) ) ) ), c_NthRoot_Osqrt( c_Groups_Oplus__class_Oplus(
% 0.93/1.49 tc_RealDef_Oreal, c_Power_Opower__class_Opower( tc_RealDef_Oreal, Z,
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.49 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.49 c_Int_OPls ) ) ) ) ) ) ) ) }.
% 0.93/1.49 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, c_NthRoot_Osqrt(
% 0.93/1.49 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.93/1.49 c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.49 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.49 c_Int_OPls ) ) ) ) ) ) ) }.
% 0.93/1.49 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, Y, c_NthRoot_Osqrt(
% 0.93/1.49 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.93/1.49 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.49 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.49 c_Int_OPls ) ) ) ) ) ) ) }.
% 0.93/1.49 { ! c_NthRoot_Osqrt( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.93/1.49 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.49 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.49 c_Int_OPls ) ) ) ) ) ) = Y, X = c_Groups_Ozero__class_Ozero(
% 0.93/1.49 tc_RealDef_Oreal ) }.
% 0.93/1.49 { ! c_NthRoot_Osqrt( c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.93/1.49 c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.49 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.49 c_Int_OPls ) ) ) ) ) ) = Y, X = c_Groups_Ozero__class_Ozero(
% 0.93/1.49 tc_RealDef_Oreal ) }.
% 0.93/1.49 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_NthRoot_Osqrt(
% 0.93/1.49 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.93/1.49 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.49 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.49 c_Int_OPls ) ) ) ) ) ) ) }.
% 0.93/1.49 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Y ), c_NthRoot_Osqrt(
% 0.93/1.49 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.93/1.49 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.49 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.49 c_Int_OPls ) ) ) ) ) ) ) }.
% 0.93/1.49 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Y ), c_NthRoot_Osqrt(
% 0.93/1.49 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.93/1.49 c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.49 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.49 c_Int_OPls ) ) ) ) ) ) ) }.
% 0.93/1.49 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Z ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, skol19( X, Y, Z ) ) ), Z ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, T ) ), c_RealDef_Oreal(
% 0.93/1.49 tc_Nat_Onat, c_Nat_OSuc( skol37( X, Y ) ) ) ) }.
% 0.93/1.49 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, skol39( X, Y, Z ) ) ),
% 0.93/1.49 c_RealDef_Oreal( tc_Nat_Onat, c_Nat_OSuc( Z ) ) ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol41( T, U ) ) }.
% 0.93/1.49 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, skol39( X, Y, Z ) ) ),
% 0.93/1.49 c_RealDef_Oreal( tc_Nat_Onat, c_Nat_OSuc( Z ) ) ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, T ) ), skol41( X, Y ) ) }.
% 0.93/1.49 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Z ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, skol20( X, Y, Z ) ) ), Z ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, T ) ), c_RealDef_Oreal(
% 0.93/1.49 tc_Nat_Onat, c_Nat_OSuc( skol38( X, Y ) ) ) ) }.
% 0.93/1.49 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, skol40( X, Y, Z ) ) ),
% 0.93/1.49 c_RealDef_Oreal( tc_Nat_Onat, c_Nat_OSuc( Z ) ) ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), skol42( T, U ) ) }.
% 0.93/1.49 { ! class_RealVector_Oreal__normed__vector( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, skol40( X, Y, Z ) ) ),
% 0.93/1.49 c_RealDef_Oreal( tc_Nat_Onat, c_Nat_OSuc( Z ) ) ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_RealVector_Onorm__class_Onorm( X, hAPP( Y, T ) ), skol42( X, Y ) ) }.
% 0.93/1.49 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Oone__class_Oone( X )
% 0.93/1.49 ) = c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.93/1.49 tc_Int_Oint, Y, c_Int_OBit1( c_Int_OPls ) ) ) }.
% 0.93/1.49 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.93/1.49 c_Groups_Oone__class_Oone( X ), c_Int_Onumber__class_Onumber__of( X, Y )
% 0.93/1.49 ) = c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.93/1.49 tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), Y ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X ) ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X ) ) }
% 0.93/1.49 .
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_NthRoot_Osqrt( X
% 0.93/1.49 ), c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_NthRoot_Osqrt( X )
% 0.93/1.49 , c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X ) ) }
% 0.93/1.49 .
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), ! c_NthRoot_Osqrt(
% 0.93/1.49 X ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X =
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X ) ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X ) ) }
% 0.93/1.49 .
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_NthRoot_Osqrt( X ),
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_NthRoot_Osqrt( X ),
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), ! c_NthRoot_Osqrt(
% 0.93/1.49 X ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X ) ) }
% 0.93/1.49 .
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_NthRoot_Osqrt( X
% 0.93/1.49 ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.93/1.49 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.93/1.49 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_NthRoot_Osqrt( X )
% 0.93/1.49 , c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X ) ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_NthRoot_Osqrt( X ),
% 0.93/1.49 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.93/1.49 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.93/1.49 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_NthRoot_Osqrt( X ),
% 0.93/1.49 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X ) ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.49 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_NthRoot_Osqrt( X ) ) }.
% 0.93/1.49 { ! c_RealDef_Oreal( tc_Nat_Onat, X ) = c_Groups_Ozero__class_Ozero(
% 0.93/1.49 tc_RealDef_Oreal ), X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.93/1.49 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_RealDef_Oreal(
% 0.93/1.49 tc_Nat_Onat, X ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.93/1.49 { c_RealDef_Oreal( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat )
% 0.93/1.49 ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.93/1.49 tc_Nat_Onat, X ), c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.93/1.49 ( tc_Nat_Onat ), c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ),
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) = c_Nat_OSuc(
% 0.93/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ),
% 0.93/1.49 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.93/1.49 tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.93/1.49 tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ) }.
% 0.93/1.49 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.93/1.49 ), ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.93/1.49 , c_Groups_Oplus__class_Oplus( X, Y, Z ), c_Groups_Ozero__class_Ozero( X
% 0.93/1.49 ) ) }.
% 0.93/1.49 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.93/1.49 ), ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Oplus__class_Oplus( X,
% 0.93/1.49 Z, Y ) ) }.
% 0.93/1.49 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.93/1.49 ), ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Oplus__class_Oplus( X,
% 0.93/1.49 Y, Z ) ) }.
% 0.93/1.49 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.93/1.49 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.93/1.49 X ), Z ), ! c_Groups_Oplus__class_Oplus( X, Y, Z ) =
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.93/1.49 .
% 0.93/1.49 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.93/1.49 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.93/1.49 X ), Z ), ! c_Groups_Oplus__class_Oplus( X, Y, Z ) =
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ) }
% 0.93/1.49 .
% 0.93/1.49 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.93/1.49 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.93/1.49 X ), Z ), ! Y = c_Groups_Ozero__class_Ozero( X ), ! Z =
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, Y, Z )
% 0.93/1.49 = c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.49 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.93/1.49 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.93/1.49 X ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X, Y, Z )
% 0.93/1.49 ) }.
% 0.93/1.49 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X, Y,
% 0.93/1.49 Y ), c_Groups_Ozero__class_Ozero( X ) ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.93/1.49 ) }.
% 0.93/1.49 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.93/1.49 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X
% 0.93/1.49 , Y, Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.93/1.49 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.93/1.49 c_Groups_Oplus__class_Oplus( X, Y, Y ) ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.93/1.49 ) }.
% 0.93/1.49 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.93/1.49 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.93/1.49 ), c_Groups_Oplus__class_Oplus( X, Y, Y ) ) }.
% 0.93/1.49 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.93/1.49 c_Groups_Oplus__class_Oplus( X, Y, Y ) ), c_Orderings_Oord__class_Oless(
% 0.93/1.49 X, c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.93/1.49 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.93/1.49 c_Groups_Oplus__class_Oplus( X, Y, Y ) ) }.
% 0.93/1.49 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.93/1.49 , c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X, Y
% 0.93/1.49 , c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.93/1.49 { ! class_Groups_Olinordered__ab__group__add( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y, Y )
% 0.93/1.49 , c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.93/1.49 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.93/1.49 ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.93/1.49 , c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.93/1.49 c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.93/1.49 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.93/1.49 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, T, Z ), c_Orderings_Oord__class_Oless(
% 0.93/1.49 X, T, c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.93/1.49 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.93/1.49 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.93/1.49 , c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y, Z
% 0.93/1.49 ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.93/1.49 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.93/1.49 , c_Groups_Oplus__class_Oplus( X, Y, Y ), c_Groups_Ozero__class_Ozero( X
% 0.93/1.49 ) ), c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X
% 0.93/1.49 ) ) }.
% 0.93/1.49 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.93/1.49 , Y, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless( X
% 0.93/1.49 , c_Groups_Oplus__class_Oplus( X, Y, Y ), c_Groups_Ozero__class_Ozero( X
% 0.93/1.49 ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.93/1.49 tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.93/1.49 tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ) }.
% 0.93/1.49 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, U, T ), c_Orderings_Oord__class_Oless(
% 0.93/1.49 X, c_Groups_Oplus__class_Oplus( X, Z, U ), c_Groups_Oplus__class_Oplus( X
% 0.93/1.49 , Y, T ) ) }.
% 0.93/1.49 { ! class_Groups_Oordered__cancel__ab__semigroup__add( X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, Z, Y ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Z, U )
% 0.93/1.49 , c_Groups_Oplus__class_Oplus( X, Y, T ) ) }.
% 0.93/1.49 { ! class_Rings_Olinordered__semidom( X ), c_Orderings_Oord__class_Oless( X
% 0.93/1.49 , Y, c_Groups_Oplus__class_Oplus( X, Y, c_Groups_Oone__class_Oone( X ) )
% 0.93/1.49 ) }.
% 0.93/1.49 { ! class_Groups_Ogroup__add( X ), c_Groups_Oplus__class_Oplus( X, Y,
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( X, Y ) ) = c_Groups_Ozero__class_Ozero(
% 0.93/1.49 X ) }.
% 0.93/1.49 { ! class_Groups_Ogroup__add( X ), ! Z = c_Groups_Ouminus__class_Ouminus( X
% 0.93/1.49 , Y ), c_Groups_Oplus__class_Oplus( X, Z, Y ) =
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.49 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Oplus__class_Oplus( X, Z, Y )
% 0.93/1.49 = c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ouminus__class_Ouminus
% 0.93/1.49 ( X, Y ) }.
% 0.93/1.49 { ! class_Groups_Ogroup__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( X, Y ), Y ) =
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.49 { ! class_Groups_Oab__group__add( X ), c_Groups_Oplus__class_Oplus( X,
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( X, Y ), Y ) =
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.49 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Oplus__class_Oplus( X, Z, Y )
% 0.93/1.49 = c_Groups_Ozero__class_Ozero( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.93/1.49 Z ) = Y }.
% 0.93/1.49 { ! class_Groups_Ogroup__add( X ), ! c_Groups_Oplus__class_Oplus( X, Z, Y )
% 0.93/1.49 = c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ouminus__class_Ouminus
% 0.93/1.49 ( X, Z ) }.
% 0.93/1.49 { ! class_Groups_Ogroup__add( X ), ! Y = c_Groups_Ouminus__class_Ouminus( X
% 0.93/1.49 , Z ), c_Groups_Oplus__class_Oplus( X, Z, Y ) =
% 0.93/1.49 c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.49 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X, Z, Y )
% 0.93/1.49 = c_Groups_Oplus__class_Oplus( X, Z, c_Groups_Ouminus__class_Ouminus( X
% 0.93/1.49 , Y ) ) }.
% 0.93/1.49 { ! class_Groups_Oab__group__add( X ), c_Groups_Ominus__class_Ominus( X, Z
% 0.93/1.49 , Y ) = c_Groups_Oplus__class_Oplus( X, Z,
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( X, Y ) ) }.
% 0.93/1.49 { ! class_Groups_Ogroup__add( X ), c_Groups_Ominus__class_Ominus( X, Z,
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( X, Y ) ) = c_Groups_Oplus__class_Oplus(
% 0.93/1.49 X, Z, Y ) }.
% 0.93/1.49 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X, Y,
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( X, c_Int_OPls ) ) = Y }.
% 0.93/1.49 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.93/1.49 c_Int_Onumber__class_Onumber__of( X, c_Int_OPls ), Y ) = Y }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Power_Opower__class_Opower
% 0.93/1.49 ( tc_Int_Oint, X, Y ) ) }.
% 0.93/1.49 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X,
% 0.93/1.49 c_Groups_Oplus__class_Oplus( X, Z, Y ) ), c_Groups_Oplus__class_Oplus( X
% 0.93/1.49 , c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) )
% 0.93/1.49 ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.93/1.49 ( tc_Nat_Onat ), X ), X = c_Nat_OSuc( skol21( X ) ) }.
% 0.93/1.49 { ! X = c_Nat_OSuc( Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc(
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), X =
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.93/1.49 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc(
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ), Y =
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), alpha9( X, Y ) }.
% 0.93/1.49 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.93/1.49 { ! alpha9( X, Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 0.93/1.49 c_Nat_OSuc( X ) ) }.
% 0.93/1.49 { ! alpha9( X, Y ), Y = c_Nat_OSuc( skol22( Z, Y ) ) }.
% 0.93/1.49 { ! alpha9( X, Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, skol22( X,
% 0.93/1.49 Y ), X ) }.
% 0.93/1.49 { ! Y = c_Nat_OSuc( Z ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, X
% 0.93/1.49 ), alpha9( X, Y ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc( Y ) ), X = Y }
% 0.93/1.49 .
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), ! X = Y,
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc( Y ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc( Y ), X ),
% 0.93/1.49 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.93/1.49 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.93/1.49 ( tc_Nat_Onat, Y, X ), c_Nat_OSuc( Y ) ) }.
% 0.93/1.49 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.93/1.49 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Nat_OSuc( X ), Y ) =
% 0.93/1.49 c_Nat_OSuc( c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) }.
% 0.93/1.49 { ! c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ) =
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X =
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) }.
% 0.93/1.49 { ! X = c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ),
% 0.93/1.49 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ) =
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.93/1.49 { ! c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y,
% 0.93/1.49 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) ) =
% 0.93/1.49 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y = X }.
% 0.93/1.50 { ! Y = X, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y,
% 0.93/1.50 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) ) =
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.93/1.50 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Oone__class_Oone(
% 0.93/1.50 tc_Int_Oint ) ) }.
% 0.93/1.50 { c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.93/1.50 tc_Int_Oint ), c_Groups_Oone__class_Oone( tc_Int_Oint ) ) }.
% 0.93/1.50 { c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, X ) =
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y,
% 0.93/1.50 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) ) }.
% 0.93/1.50 { c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, X ) =
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y,
% 0.93/1.50 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) ) }.
% 0.93/1.50 { c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus
% 0.93/1.50 ( tc_RealDef_Oreal, Y, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal
% 0.93/1.50 , X ) ) ) = c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, X,
% 0.93/1.50 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) ) ) }.
% 0.93/1.50 { c_NthRoot_Osqrt( c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.50 c_Int_OPls ) ) ) ) ) = c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) }
% 0.93/1.50 .
% 0.93/1.50 { ! class_Rings_Olinordered__idom( X ), ! c_Groups_Oplus__class_Oplus( X,
% 0.93/1.50 c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.93/1.50 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ),
% 0.93/1.50 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.93/1.50 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) =
% 0.93/1.50 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ) }
% 0.93/1.50 .
% 0.93/1.50 { ! class_Rings_Olinordered__idom( X ), ! c_Groups_Oplus__class_Oplus( X,
% 0.93/1.50 c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.93/1.50 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ),
% 0.93/1.50 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.93/1.50 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) =
% 0.93/1.50 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.93/1.50 .
% 0.93/1.50 { ! class_Rings_Olinordered__idom( X ), ! Z = c_Groups_Ozero__class_Ozero(
% 0.93/1.50 X ), ! Y = c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus
% 0.93/1.50 ( X, c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of
% 0.93/1.50 ( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ),
% 0.93/1.50 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.93/1.50 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) =
% 0.93/1.50 c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.50 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.93/1.50 tc_Nat_Onat, X ), c_Power_Opower__class_Opower( tc_RealDef_Oreal,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.93/1.50 c_Int_OBit1( c_Int_OPls ) ) ), X ) ) }.
% 0.93/1.50 { ! c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.93/1.50 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.50 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.50 c_Int_OPls ) ) ) ) ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y
% 0.93/1.50 = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.93/1.50 { ! c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.93/1.50 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.50 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.50 c_Int_OPls ) ) ) ) ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X
% 0.93/1.50 = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.93/1.50 { ! Y = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! X =
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.93/1.50 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.50 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.50 c_Int_OPls ) ) ) ) ) = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }
% 0.93/1.50 .
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Y ),
% 0.93/1.50 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X, c_NthRoot_Osqrt(
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.93/1.50 c_Int_OBit1( c_Int_OPls ) ) ) ) ) ), ! c_Orderings_Oord__class_Oless(
% 0.93/1.50 tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, Z ),
% 0.93/1.50 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X, c_NthRoot_Osqrt(
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.93/1.50 c_Int_OBit1( c_Int_OPls ) ) ) ) ) ), c_Orderings_Oord__class_Oless(
% 0.93/1.50 tc_RealDef_Oreal, c_NthRoot_Osqrt( c_Groups_Oplus__class_Oplus(
% 0.93/1.50 tc_RealDef_Oreal, c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.50 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, Z,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.50 c_Int_OPls ) ) ) ) ) ), X ) }.
% 0.93/1.50 { ! c_SEQ_Osubseq( X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( X
% 0.93/1.50 , Y ), hAPP( X, c_Nat_OSuc( Y ) ) ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, hAPP( X, skol23( X ) ),
% 0.93/1.50 hAPP( X, c_Nat_OSuc( skol23( X ) ) ) ), c_SEQ_Osubseq( X ) }.
% 0.93/1.50 { ! c_Power_Opower__class_Opower( tc_RealDef_Oreal, c_NthRoot_Osqrt( X ),
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.50 c_Int_OPls ) ) ) ) = X, c_Orderings_Oord__class_Oless__eq(
% 0.93/1.50 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ) }
% 0.93/1.50 .
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.93/1.50 c_Power_Opower__class_Opower( tc_RealDef_Oreal, c_NthRoot_Osqrt( X ),
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.50 c_Int_OPls ) ) ) ) = X }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.93/1.50 c_Power_Opower__class_Opower( tc_RealDef_Oreal, c_NthRoot_Osqrt( X ),
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.50 c_Int_OPls ) ) ) ) = X }.
% 0.93/1.50 { ! c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.50 c_Int_OPls ) ) ) ) = X, ! c_Orderings_Oord__class_Oless__eq(
% 0.93/1.50 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ),
% 0.93/1.50 c_NthRoot_Osqrt( X ) = Y }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.93/1.50 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.93/1.50 c_Power_Opower__class_Opower( tc_RealDef_Oreal, c_NthRoot_Osqrt( X ),
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.50 c_Int_OPls ) ) ) ) ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y,
% 0.93/1.50 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.93/1.50 c_Int_OBit1( c_Int_OPls ) ) ) ) ), ! c_Orderings_Oord__class_Oless(
% 0.93/1.50 tc_RealDef_Oreal, Z, c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X
% 0.93/1.50 , c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.93/1.50 c_Int_OBit1( c_Int_OPls ) ) ) ) ), ! c_Orderings_Oord__class_Oless__eq(
% 0.93/1.50 tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Z ),
% 0.93/1.50 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_NthRoot_Osqrt(
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.93/1.50 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.50 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, Z,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.50 c_Int_OPls ) ) ) ) ) ), X ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__idom( X ), c_Orderings_Oord__class_Oless__eq(
% 0.93/1.50 X, c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.93/1.50 c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.93/1.50 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ),
% 0.93/1.50 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.93/1.50 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq
% 0.93/1.50 ( X, c_Groups_Oplus__class_Oplus( X, c_Power_Opower__class_Opower( X, Z,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.50 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( X, Y,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.50 c_Int_OPls ) ) ) ) ), c_Groups_Ozero__class_Ozero( X ) ), Z =
% 0.93/1.50 c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless__eq
% 0.93/1.50 ( X, c_Groups_Oplus__class_Oplus( X, c_Power_Opower__class_Opower( X, Z,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.50 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( X, Y,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.50 c_Int_OPls ) ) ) ) ), c_Groups_Ozero__class_Ozero( X ) ), Y =
% 0.93/1.50 c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__idom( X ), ! Z = c_Groups_Ozero__class_Ozero(
% 0.93/1.50 X ), ! Y = c_Groups_Ozero__class_Ozero( X ),
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oplus__class_Oplus( X,
% 0.93/1.50 c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.93/1.50 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ),
% 0.93/1.50 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.93/1.50 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ),
% 0.93/1.50 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.93/1.50 , c_Groups_Oplus__class_Oplus( X, c_Power_Opower__class_Opower( X, Z,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.50 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( X, Y,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.50 c_Int_OPls ) ) ) ) ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.93/1.50 , c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.93/1.50 c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of(
% 0.93/1.50 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ),
% 0.93/1.50 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.93/1.50 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) ), ! Z =
% 0.93/1.50 c_Groups_Ozero__class_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X )
% 0.93/1.50 }.
% 0.93/1.50 { ! class_Rings_Olinordered__idom( X ), Z = c_Groups_Ozero__class_Ozero( X
% 0.93/1.50 ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.93/1.50 c_Groups_Oplus__class_Oplus( X, c_Power_Opower__class_Opower( X, Z,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.50 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( X, Y,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.50 c_Int_OPls ) ) ) ) ) ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__idom( X ), Y = c_Groups_Ozero__class_Ozero( X
% 0.93/1.50 ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.93/1.50 c_Groups_Oplus__class_Oplus( X, c_Power_Opower__class_Opower( X, Z,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.50 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( X, Y,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.50 c_Int_OPls ) ) ) ) ) ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.93/1.50 tc_Nat_Onat, X ), c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ), X =
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.93/1.50 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.93/1.50 tc_Nat_Onat, X ), c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.93/1.50 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.93/1.50 ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.93/1.50 , Z ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.93/1.50 , c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.93/1.50 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.93/1.50 ), ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.93/1.50 , Z ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X )
% 0.93/1.50 , c_Groups_Oplus__class_Oplus( X, Y, Z ) ) }.
% 0.93/1.50 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.93/1.50 ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.93/1.50 c_Orderings_Oord__class_Oless( X, T, c_Groups_Oplus__class_Oplus( X, Y, Z
% 0.93/1.50 ) ) }.
% 0.93/1.50 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.93/1.50 ), ! c_Orderings_Oord__class_Oless( X, T, Z ),
% 0.93/1.50 c_Orderings_Oord__class_Oless( X, T, c_Groups_Oplus__class_Oplus( X, Y, Z
% 0.93/1.50 ) ) }.
% 0.93/1.50 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.93/1.50 ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.93/1.50 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y
% 0.93/1.50 , Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.93/1.50 { ! class_Groups_Oordered__comm__monoid__add( X ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.93/1.50 ), ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.93/1.50 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Oplus__class_Oplus( X, Y
% 0.93/1.50 , Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__semidom( X ), c_Orderings_Oord__class_Oless( X
% 0.93/1.50 , c_Groups_Ozero__class_Ozero( X ), c_Groups_Oplus__class_Oplus( X,
% 0.93/1.50 c_Groups_Oone__class_Oone( X ), c_Groups_Oone__class_Oone( X ) ) ) }.
% 0.93/1.50 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.93/1.50 c_Int_OBit0( Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.93/1.50 c_Groups_Oplus__class_Oplus( X, c_Groups_Ozero__class_Ozero( X ),
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.93/1.50 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.93/1.50 X, Z, Y ), c_Orderings_Oord__class_Oless( X, Z,
% 0.93/1.50 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.93/1.50 ), c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ),
% 0.93/1.50 c_Groups_Oone__class_Oone( X ) ) ) ) }.
% 0.93/1.50 { ! class_Fields_Olinordered__field( X ), ! c_Orderings_Oord__class_Oless(
% 0.93/1.50 X, Z, Y ), c_Orderings_Oord__class_Oless( X,
% 0.93/1.50 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.93/1.50 ), c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ),
% 0.93/1.50 c_Groups_Oone__class_Oone( X ) ) ), Y ) }.
% 0.93/1.50 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.93/1.50 c_Int_OBit1( Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.93/1.50 c_Groups_Oplus__class_Oplus( X, c_Groups_Oone__class_Oone( X ),
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.93/1.50 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X,
% 0.93/1.50 c_Groups_Ominus__class_Ominus( X, Z, Y ) ), c_Groups_Oplus__class_Oplus(
% 0.93/1.50 X, c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, Y ) )
% 0.93/1.50 ) }.
% 0.93/1.50 { ! class_Groups_Oordered__ab__group__add__abs( X ),
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oabs__class_Oabs( X,
% 0.93/1.50 c_Groups_Ominus__class_Ominus( X, c_Groups_Oplus__class_Oplus( X, U, T )
% 0.93/1.50 , c_Groups_Oplus__class_Oplus( X, Z, Y ) ) ), c_Groups_Oplus__class_Oplus
% 0.93/1.50 ( X, c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, U, Z
% 0.93/1.50 ) ), c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, T,
% 0.93/1.50 Y ) ) ) ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), c_RealDef_Oreal
% 0.93/1.50 ( tc_Nat_Onat, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) =
% 0.93/1.50 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.93/1.50 tc_Nat_Onat, X ), c_RealDef_Oreal( tc_Nat_Onat, Y ) ) }.
% 0.93/1.50 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.50 c_RealVector_Onorm__class_Onorm( X, c_Groups_Ominus__class_Ominus( X, Z,
% 0.93/1.50 Y ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.93/1.50 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.93/1.50 ( X, Y ) ) ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.93/1.50 ( tc_Nat_Onat ), X ), c_Nat_OSuc( c_Groups_Ominus__class_Ominus(
% 0.93/1.50 tc_Nat_Onat, X, c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) )
% 0.93/1.50 ) ) = X }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.93/1.50 ( tc_Nat_Onat ), X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.93/1.50 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, c_Nat_OSuc( Y ) ), X ) }.
% 0.93/1.50 { c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Power_Opower__class_Opower
% 0.93/1.50 ( tc_Int_Oint, c_Groups_Oabs__class_Oabs( tc_Int_Oint, Y ), X ) ) }.
% 0.93/1.50 { ! class_RealVector_Oreal__normed__vector( X ),
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.93/1.50 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.93/1.50 ( X, Y ) ), c_RealVector_Onorm__class_Onorm( X,
% 0.93/1.50 c_Groups_Oplus__class_Oplus( X, Z, Y ) ) ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ) ),
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ), X ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ), X ),
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ) ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.93/1.50 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal, X,
% 0.93/1.50 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) ),
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ) ),
% 0.93/1.50 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ), X ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ), X ),
% 0.93/1.50 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ) ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ),
% 0.93/1.50 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.93/1.50 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, X,
% 0.93/1.50 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) ),
% 0.93/1.50 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs
% 0.93/1.50 ( tc_RealDef_Oreal, X ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) )
% 0.93/1.50 , X ) }.
% 0.93/1.50 { c_Groups_Oone__class_Oone( tc_Nat_Onat ) =
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1( c_Int_OPls )
% 0.93/1.50 ) }.
% 0.93/1.50 { c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1( c_Int_OPls )
% 0.93/1.50 ) = c_Groups_Oone__class_Oone( tc_Nat_Onat ) }.
% 0.93/1.50 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus
% 0.93/1.50 ( tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, T, Z )
% 0.93/1.50 , c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ),
% 0.93/1.50 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, X ) ) ) ),
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs
% 0.93/1.50 ( tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, T,
% 0.93/1.50 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, Y ) ) ),
% 0.93/1.50 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus
% 0.93/1.50 ( tc_RealDef_Oreal, Z, c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal
% 0.93/1.50 , X ) ) ) ) ) }.
% 0.93/1.50 { c_Groups_Oone__class_Oone( tc_Int_Oint ) =
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit1( c_Int_OPls )
% 0.93/1.50 ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.93/1.50 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ),
% 0.93/1.50 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.93/1.50 tc_Int_Oint ), X ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.93/1.50 ( tc_Int_Oint ), X ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.93/1.50 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y,
% 0.93/1.50 c_Groups_Ominus__class_Ominus( tc_Int_Oint, X, c_Groups_Oone__class_Oone
% 0.93/1.50 ( tc_Int_Oint ) ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ) }
% 0.93/1.50 .
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y,
% 0.93/1.50 c_Groups_Ominus__class_Ominus( tc_Int_Oint, X, c_Groups_Oone__class_Oone
% 0.93/1.50 ( tc_Int_Oint ) ) ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oabs__class_Oabs(
% 0.93/1.50 tc_Int_Oint, X ), c_Groups_Oone__class_Oone( tc_Int_Oint ) ), X =
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.93/1.50 { ! X = c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.93/1.50 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oabs__class_Oabs(
% 0.93/1.50 tc_Int_Oint, X ), c_Groups_Oone__class_Oone( tc_Int_Oint ) ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.93/1.50 tc_Nat_Onat, X ) ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.93/1.50 ( tc_Nat_Onat ), X ), c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.93/1.50 tc_Nat_Onat, X ) ) }.
% 0.93/1.50 { c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1( c_Int_OPls )
% 0.93/1.50 ) = c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.93/1.50 { c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1( c_Int_OBit1(
% 0.93/1.50 c_Int_OPls ) ) ) = c_Nat_OSuc( c_Nat_OSuc( c_Nat_OSuc(
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero
% 0.93/1.50 ( tc_Int_Oint ), c_Power_Opower__class_Opower( tc_Int_Oint,
% 0.93/1.50 c_Groups_Oabs__class_Oabs( tc_Int_Oint, Y ), X ) ), ! Y =
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X =
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.93/1.50 { Y = c_Groups_Ozero__class_Ozero( tc_Int_Oint ),
% 0.93/1.50 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.93/1.50 tc_Int_Oint ), c_Power_Opower__class_Opower( tc_Int_Oint,
% 0.93/1.50 c_Groups_Oabs__class_Oabs( tc_Int_Oint, Y ), X ) ) }.
% 0.93/1.50 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.93/1.50 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.93/1.50 tc_Int_Oint ), c_Power_Opower__class_Opower( tc_Int_Oint,
% 0.93/1.50 c_Groups_Oabs__class_Oabs( tc_Int_Oint, Y ), X ) ) }.
% 0.93/1.50 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_Groups_Oone__class_Oone
% 0.93/1.50 ( tc_RealDef_Oreal ), c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) )
% 0.93/1.50 ) }.
% 0.93/1.50 { ! class_Rings_Osemiring__1( X ), c_Power_Opower__class_Opower( X,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of(
% 0.93/1.50 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) =
% 0.93/1.50 c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.50 { ! class_Rings_Oring__1__no__zero__divisors( X ), !
% 0.93/1.50 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.93/1.50 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) =
% 0.93/1.50 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.93/1.50 .
% 0.93/1.50 { ! class_Rings_Oring__1__no__zero__divisors( X ), ! Y =
% 0.93/1.50 c_Groups_Ozero__class_Ozero( X ), c_Power_Opower__class_Opower( X, Y,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.50 c_Int_OPls ) ) ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.50 { ! class_Rings_Osemiring__1( X ), c_Power_Opower__class_Opower( X,
% 0.93/1.50 c_Groups_Oone__class_Oone( X ), c_Int_Onumber__class_Onumber__of(
% 0.93/1.50 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) =
% 0.93/1.50 c_Groups_Oone__class_Oone( X ) }.
% 0.93/1.50 { ! class_Rings_Oring__1( X ), c_Power_Opower__class_Opower( X,
% 0.93/1.50 c_Groups_Ouminus__class_Ouminus( X, Y ), c_Int_Onumber__class_Onumber__of
% 0.93/1.50 ( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) =
% 0.93/1.50 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.93/1.50 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__idom( X ), c_Groups_Oabs__class_Oabs( X,
% 0.93/1.50 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.93/1.50 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) =
% 0.93/1.50 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.93/1.50 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__idom( X ), c_Power_Opower__class_Opower( X,
% 0.93/1.50 c_Groups_Oabs__class_Oabs( X, Y ), c_Int_Onumber__class_Onumber__of(
% 0.93/1.50 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) =
% 0.93/1.50 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.93/1.50 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.93/1.50 { ! class_Int_Onumber__ring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.93/1.50 c_Groups_Oone__class_Oone( X ), c_Groups_Oone__class_Oone( X ) ) =
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( c_Int_OBit1( c_Int_OPls
% 0.93/1.50 ) ) ) }.
% 0.93/1.50 { c_Nat_OSuc( c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) =
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.50 c_Int_OPls ) ) ) }.
% 0.93/1.50 { c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.50 c_Int_OPls ) ) ) = c_Nat_OSuc( c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 0.93/1.50 tc_Nat_Onat ) ) ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OPls ), X ),
% 0.93/1.50 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) =
% 0.93/1.50 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y,
% 0.93/1.50 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1( c_Int_OPls )
% 0.93/1.50 ) ) ) }.
% 0.93/1.50 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_NthRoot_Osqrt(
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.93/1.50 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.93/1.50 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_NthRoot_Osqrt(
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.93/1.50 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.93/1.50 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_NthRoot_Osqrt(
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.93/1.50 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__idom( X ), c_Orderings_Oord__class_Oless__eq(
% 0.93/1.50 X, c_Groups_Ozero__class_Ozero( X ), c_Power_Opower__class_Opower( X, Y,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.50 c_Int_OPls ) ) ) ) ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__semidom( X ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( X, c_Power_Opower__class_Opower( X, Z
% 0.93/1.50 , c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1
% 0.93/1.50 ( c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( X, Y,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.50 c_Int_OPls ) ) ) ) ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless__eq
% 0.93/1.50 ( X, Z, Y ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__semidom( X ), ! c_Power_Opower__class_Opower(
% 0.93/1.50 X, Z, c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0(
% 0.93/1.50 c_Int_OBit1( c_Int_OPls ) ) ) ) = c_Power_Opower__class_Opower( X, Y,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.50 c_Int_OPls ) ) ) ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( X ), Z ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.93/1.50 ), Z = Y }.
% 0.93/1.50 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.93/1.50 , c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.93/1.50 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ),
% 0.93/1.50 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.93/1.50 , c_Groups_Ozero__class_Ozero( X ), c_Power_Opower__class_Opower( X, Y,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.50 c_Int_OPls ) ) ) ) ), ! Y = c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__idom( X ), Y = c_Groups_Ozero__class_Ozero( X
% 0.93/1.50 ), c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.93/1.50 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.93/1.50 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.93/1.50 { ! class_Rings_Oring__1__no__zero__divisors( X ), !
% 0.93/1.50 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.93/1.50 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) =
% 0.93/1.50 c_Groups_Oone__class_Oone( X ), Y = c_Groups_Oone__class_Oone( X ), Y =
% 0.93/1.50 c_Groups_Ouminus__class_Ouminus( X, c_Groups_Oone__class_Oone( X ) ) }.
% 0.93/1.50 { ! class_Rings_Oring__1__no__zero__divisors( X ), ! Y =
% 0.93/1.50 c_Groups_Oone__class_Oone( X ), c_Power_Opower__class_Opower( X, Y,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.50 c_Int_OPls ) ) ) ) = c_Groups_Oone__class_Oone( X ) }.
% 0.93/1.50 { ! class_Rings_Oring__1__no__zero__divisors( X ), ! Y =
% 0.93/1.50 c_Groups_Ouminus__class_Ouminus( X, c_Groups_Oone__class_Oone( X ) ),
% 0.93/1.50 c_Power_Opower__class_Opower( X, Y, c_Int_Onumber__class_Onumber__of(
% 0.93/1.50 tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) =
% 0.93/1.50 c_Groups_Oone__class_Oone( X ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.50 c_Int_OPls ) ) ) ), X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X =
% 0.93/1.50 c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.93/1.50 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ),
% 0.93/1.50 c_Power_Opower__class_Opower( tc_RealDef_Oreal,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.93/1.50 c_Int_OBit1( c_Int_OPls ) ) ), X ) ) }.
% 0.93/1.50 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.93/1.50 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.50 c_Int_OPls ) ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.50 c_Int_OPls ) ) ) ) ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.93/1.50 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y,
% 0.93/1.50 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.93/1.50 c_Int_OBit1( c_Int_OPls ) ) ) ) ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Y, X ),
% 0.93/1.50 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.50 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.93/1.50 c_Int_OBit1( c_Int_OPls ) ) ) ), X ) }.
% 0.93/1.50 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.50 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, skol24( Y ) ), v_r
% 0.93/1.50 ) }.
% 0.93/1.50 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.50 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.93/1.50 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), skol24( X ) ) ),
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 0.93/1.50 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.93/1.50 tc_Nat_Onat, c_Nat_OSuc( X ) ) ) ) ) }.
% 0.93/1.50 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.50 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP( skol25, X ) )
% 0.93/1.50 , v_r ) }.
% 0.93/1.50 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.50 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.93/1.50 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), hAPP( skol25, X ) ) ),
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 0.93/1.50 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.93/1.50 tc_Nat_Onat, c_Nat_OSuc( X ) ) ) ) ) }.
% 0.93/1.50 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.50 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, skol26( Y ) ), v_r
% 0.93/1.50 ) }.
% 0.93/1.50 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.50 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.93/1.50 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), skol26( X ) ) ),
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ),
% 0.93/1.50 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), c_RealDef_Oreal(
% 0.93/1.50 tc_Nat_Onat, c_Nat_OSuc( X ) ) ) ) ) }.
% 0.93/1.50 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.93/1.50 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, Y, c_NthRoot_Osqrt(
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.93/1.50 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.50 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.50 c_Int_OPls ) ) ) ) ) ) ) ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal )
% 0.93/1.50 ) }.
% 0.93/1.50 { c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.93/1.50 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.93/1.50 c_Int_OBit1( c_Int_OPls ) ) ) ), Y ) = c_Rings_Oinverse__class_Odivide(
% 0.93/1.50 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X, Y )
% 0.93/1.50 , c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.93/1.50 c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.93/1.50 tc_Int_Oint ) ) ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), Y
% 0.93/1.50 = X }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.93/1.50 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.93/1.50 tc_Int_Oint ) ) ) }.
% 0.93/1.50 { ! Y = X, c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.93/1.50 tc_Int_Oint ) ) ) }.
% 0.93/1.50 { c_Nat_OSuc( X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.93/1.50 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) }.
% 0.93/1.50 { c_Nat_OSuc( X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.93/1.50 c_Groups_Oone__class_Oone( tc_Nat_Onat ), X ) }.
% 0.93/1.50 { c_Int_OBit1( X ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Oone__class_Oone(
% 0.93/1.50 tc_Int_Oint ), X ), X ) }.
% 0.93/1.50 { ! c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.93/1.50 tc_Int_Oint, c_Groups_Oone__class_Oone( tc_Int_Oint ), X ), X ) =
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), X =
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, skol27( X, Y ) ) }.
% 0.93/1.50 { ! X = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.93/1.50 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) =
% 0.93/1.50 c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.93/1.50 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) =
% 0.93/1.50 c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.93/1.50 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Nat_OSuc( Y ), X ) =
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, c_Nat_OSuc( X ) ) }.
% 0.93/1.50 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) =
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, Y ) }.
% 0.93/1.50 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, c_Groups_Oplus__class_Oplus
% 0.93/1.50 ( tc_Int_Oint, Y, X ) ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y,
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, X ) ) }.
% 0.93/1.50 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.93/1.50 tc_Int_Oint, Z, Y ), X ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z,
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }.
% 0.93/1.50 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.93/1.50 tc_Nat_Onat ), X ) = X }.
% 0.93/1.50 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, c_Groups_Ozero__class_Ozero
% 0.93/1.50 ( tc_Nat_Onat ) ) = X }.
% 0.93/1.50 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y =
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.93/1.50 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X =
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.93/1.50 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), ! X =
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus(
% 0.93/1.50 tc_Nat_Onat, Y, X ) = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.93/1.50 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) = Y, X =
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.93/1.50 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.93/1.50 tc_Int_Oint ), X ) = X }.
% 0.93/1.50 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Ozero__class_Ozero
% 0.93/1.50 ( tc_Int_Oint ) ) = X }.
% 0.93/1.50 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OPls, X ) = X }.
% 0.93/1.50 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Int_OPls ) = X }.
% 0.93/1.50 { c_Int_OBit0( X ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, X ) }.
% 0.93/1.50 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit0(
% 0.93/1.50 X ) ) = c_Int_OBit0( c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }
% 0.93/1.50 .
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.93/1.50 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.93/1.50 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.93/1.50 ( tc_Nat_Onat, Y, X ), Y ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.93/1.50 ( tc_Nat_Onat, Y, X ), X ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.93/1.50 ( tc_Nat_Onat, Z, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) )
% 0.93/1.50 , c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.93/1.50 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.93/1.50 tc_Nat_Onat, Z, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }
% 0.93/1.50 .
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.93/1.50 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.93/1.50 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y,
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.93/1.50 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.93/1.50 tc_Nat_Onat, Y, Z ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }
% 0.93/1.50 .
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless( tc_Nat_Onat, T, Z ),
% 0.93/1.50 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.93/1.50 tc_Nat_Onat, Y, T ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }
% 0.93/1.50 .
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), !
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, T, X ) =
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 0.93/1.50 c_Orderings_Oord__class_Oless( tc_Nat_Onat, T, Z ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.93/1.50 ( tc_Nat_Onat, Y, Z ), X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y
% 0.93/1.50 , X ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, Y ),
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Z, X ) ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.93/1.50 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.93/1.50 tc_Int_Oint, Y, Z ), c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, Z ) ) }
% 0.93/1.50 .
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, X ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ), X ),
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, Z ),
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, T ),
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ) ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ),
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ),
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ),
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), X =
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, skol28( X, Y ) ) }.
% 0.93/1.50 { ! X = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ),
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ) }.
% 0.93/1.50 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.93/1.50 { c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y,
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) }.
% 0.93/1.50 { c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) =
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Int_Oint,
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }.
% 0.93/1.50 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.93/1.50 tc_Nat_Onat, Z, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) =
% 0.93/1.50 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, X ) }.
% 0.93/1.50 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.93/1.50 tc_Nat_Onat, Z, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) =
% 0.93/1.50 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) }.
% 0.93/1.50 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus
% 0.93/1.50 ( tc_Nat_Onat, Z, Y ), X ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.93/1.50 Z, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.93/1.50 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.93/1.50 tc_Nat_Onat, Y, X ), Y ) = X }.
% 0.93/1.50 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.93/1.50 tc_Nat_Onat, Y, X ), X ) = Y }.
% 0.93/1.50 { ! class_Groups_Ocomm__monoid__add( X ), c_Groups_Oplus__class_Oplus(
% 0.93/1.50 tc_Polynomial_Opoly( X ), c_Groups_Ozero__class_Ozero(
% 0.93/1.50 tc_Polynomial_Opoly( X ) ), Y ) = Y }.
% 0.93/1.50 { ! class_Groups_Ocomm__monoid__add( X ), c_Groups_Oplus__class_Oplus(
% 0.93/1.50 tc_Polynomial_Opoly( X ), Y, c_Groups_Ozero__class_Ozero(
% 0.93/1.50 tc_Polynomial_Opoly( X ) ) ) = Y }.
% 0.93/1.50 { c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Groups_Oplus__class_Oplus
% 0.93/1.50 ( tc_Int_Oint, Y, X ) ) = c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.93/1.50 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y ),
% 0.93/1.50 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) }.
% 0.93/1.50 { c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, Y, X ) =
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Complex_Ocomplex, Y,
% 0.93/1.50 c_Groups_Ouminus__class_Ouminus( tc_Complex_Ocomplex, X ) ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ),
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) =
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) }.
% 0.93/1.50 { c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ),
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) =
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ) }.
% 0.93/1.50 { c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, c_Int_OPls ),
% 0.93/1.50 c_Orderings_Oord__class_Oless( tc_Int_Oint, X, c_Int_OPls ),
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ),
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) =
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat,
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }.
% 0.93/1.50 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OBit1( Y ), c_Int_OBit0(
% 0.93/1.50 X ) ) = c_Int_OBit1( c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }
% 0.93/1.50 .
% 0.93/1.50 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Int_OBit0( Y ), c_Int_OBit1(
% 0.93/1.50 X ) ) = c_Int_OBit1( c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, X ) ) }
% 0.93/1.50 .
% 0.93/1.50 { ! c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) =
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ), alpha10( X, Y ),
% 0.93/1.50 alpha25( X, Y ) }.
% 0.93/1.50 { ! alpha10( X, Y ), c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat )
% 0.93/1.50 ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) }.
% 0.93/1.50 { ! alpha25( X, Y ), c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat )
% 0.93/1.50 ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) }.
% 0.93/1.50 { ! alpha25( X, Y ), Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.93/1.50 { ! alpha25( X, Y ), X = c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 0.93/1.50 tc_Nat_Onat ) ) }.
% 0.93/1.50 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), ! X = c_Nat_OSuc(
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), alpha25( X, Y ) }.
% 0.93/1.50 { ! alpha10( X, Y ), Y = c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 0.93/1.50 tc_Nat_Onat ) ) }.
% 0.93/1.50 { ! alpha10( X, Y ), X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.93/1.50 { ! Y = c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), ! X =
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), alpha10( X, Y ) }.
% 0.93/1.50 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) = c_Nat_OSuc(
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), alpha11( X, Y ), alpha26( X
% 0.93/1.50 , Y ) }.
% 0.93/1.50 { ! alpha11( X, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.93/1.50 c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.93/1.50 { ! alpha26( X, Y ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.93/1.50 c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.93/1.50 { ! alpha26( X, Y ), Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.93/1.50 { ! alpha26( X, Y ), X = c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 0.93/1.50 tc_Nat_Onat ) ) }.
% 0.93/1.50 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), ! X = c_Nat_OSuc(
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), alpha26( X, Y ) }.
% 0.93/1.50 { ! alpha11( X, Y ), Y = c_Nat_OSuc( c_Groups_Ozero__class_Ozero(
% 0.93/1.50 tc_Nat_Onat ) ) }.
% 0.93/1.50 { ! alpha11( X, Y ), X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.93/1.50 { ! Y = c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), ! X =
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), alpha11( X, Y ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.93/1.50 ( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ),
% 0.93/1.50 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.93/1.50 tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.93/1.50 ( tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus(
% 0.93/1.50 tc_Nat_Onat, Y, X ) ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.93/1.50 ( tc_Nat_Onat ), X ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Groups_Oplus__class_Oplus(
% 0.93/1.50 tc_Nat_Onat, Y, X ) ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), Y ),
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), c_Groups_Oplus__class_Oplus(
% 0.93/1.50 tc_Int_Oint, X, Y ) ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), X = c_Nat_OSuc(
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, skol29( X, Y ) ) ) }.
% 0.93/1.50 { ! X = c_Nat_OSuc( c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ) ),
% 0.93/1.50 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ) }.
% 0.93/1.50 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc(
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) ) }.
% 0.93/1.50 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, c_Nat_OSuc(
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus
% 0.93/1.50 ( tc_Int_Oint, c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.93/1.50 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ), X ),
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.93/1.50 c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ),
% 0.93/1.50 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.93/1.50 tc_Int_Oint, c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.93/1.50 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ), X ),
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_Int_Oint ) ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, T, Z ),
% 0.93/1.50 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Oplus__class_Oplus(
% 0.93/1.50 tc_Int_Oint, Y, T ), c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, Z ) ) }
% 0.93/1.50 .
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.93/1.50 tc_Int_Oint ) ) ), c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X )
% 0.93/1.50 }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint, Y, X ),
% 0.93/1.50 c_Orderings_Oord__class_Oless( tc_Int_Oint, Y,
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Int_Oint, X, c_Groups_Oone__class_Oone(
% 0.93/1.50 tc_Int_Oint ) ) ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, c_Groups_Oone__class_Oone(
% 0.93/1.50 tc_Int_Oint ) ), X ), c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X )
% 0.93/1.50 }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, c_Groups_Oone__class_Oone(
% 0.93/1.50 tc_Int_Oint ) ), X ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( tc_Int_Oint, Y, X ),
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y, c_Groups_Oone__class_Oone(
% 0.93/1.50 tc_Int_Oint ) ), X ) }.
% 0.93/1.50 { c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y,
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) =
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.93/1.50 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ),
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.93/1.50 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) = Y }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z,
% 0.93/1.50 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ),
% 0.93/1.50 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.93/1.50 tc_Nat_Onat, Z, X ), Y ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Oplus__class_Oplus
% 0.93/1.50 ( tc_Nat_Onat, Z, X ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z
% 0.93/1.50 , c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.93/1.50 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.93/1.50 tc_Nat_Onat, X, Z ), Y ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.93/1.50 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ), Z ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus(
% 0.93/1.50 tc_Nat_Onat, X, Y ), Z ) = c_Groups_Ominus__class_Ominus( tc_Nat_Onat,
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Z ), Y ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.93/1.50 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.93/1.50 tc_Nat_Onat, Z, X ), Y ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z,
% 0.93/1.50 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.93/1.50 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) = Z, X =
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), ! X =
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ),
% 0.93/1.50 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) = Z }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus(
% 0.93/1.50 tc_Nat_Onat, X, Y ), Y ) = X }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.93/1.50 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ),
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ), X ),
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.93/1.50 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z,
% 0.93/1.50 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) =
% 0.93/1.50 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.93/1.50 tc_Nat_Onat, Z, X ), Y ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y,
% 0.93/1.50 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) = X }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.93/1.50 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.93/1.50 tc_Nat_Onat, X, Z ), Y ) ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.93/1.50 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ), X ),
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z,
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) ),
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat,
% 0.93/1.50 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, Y ), X ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.93/1.50 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z,
% 0.93/1.50 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) =
% 0.93/1.50 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.93/1.50 tc_Nat_Onat, Z, Y ), X ) }.
% 0.93/1.50 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, c_Groups_Ouminus__class_Ouminus
% 0.93/1.50 ( tc_Int_Oint, X ), X ) = c_Groups_Ozero__class_Ozero( tc_Int_Oint ) }.
% 0.93/1.50 { c_RealDef_Oreal( tc_Nat_Onat, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y
% 0.93/1.50 , X ) ) = c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, c_RealDef_Oreal
% 0.93/1.50 ( tc_Nat_Onat, Y ), c_RealDef_Oreal( tc_Nat_Onat, X ) ) }.
% 0.93/1.50 { c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y,
% 0.93/1.50 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) =
% 0.93/1.50 c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X ) }.
% 0.93/1.50 { c_Groups_Ominus__class_Ominus( tc_Int_Oint, Y, X ) =
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y,
% 0.93/1.50 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) }.
% 0.93/1.50 { ! class_Int_Onumber__ring( X ), c_Groups_Ominus__class_Ominus( X,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( X, Z ),
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.93/1.50 tc_Int_Oint, Z, c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y ) ) ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ),
% 0.93/1.50 c_Orderings_Oord__class_Oless( tc_Int_Oint, c_Groups_Ozero__class_Ozero(
% 0.93/1.50 tc_Int_Oint ), c_Groups_Oplus__class_Oplus( tc_Int_Oint,
% 0.93/1.50 c_Groups_Oone__class_Oone( tc_Int_Oint ), X ) ) }.
% 0.93/1.50 { ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) = X }.
% 0.93/1.50 { Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) = c_Nat_OSuc(
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Ominus__class_Ominus(
% 0.93/1.50 tc_Nat_Onat, Y, c_Groups_Oone__class_Oone( tc_Nat_Onat ) ), X ) ) }.
% 0.93/1.50 { ! hBOOL( hAPP( Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) )
% 0.93/1.50 , alpha12( X, Y, Z ) }.
% 0.93/1.50 { ! hBOOL( hAPP( Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) )
% 0.93/1.50 , alpha27( X, Y, Z ) }.
% 0.93/1.50 { ! alpha12( X, Y, Z ), ! alpha27( X, Y, Z ), hBOOL( hAPP( Z,
% 0.93/1.50 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) ) }.
% 0.93/1.50 { ! alpha27( X, Y, Z ), ! Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.93/1.50 T ), hBOOL( hAPP( Z, T ) ) }.
% 0.93/1.50 { ! hBOOL( hAPP( Z, skol30( T, U, Z ) ) ), alpha27( X, Y, Z ) }.
% 0.93/1.50 { Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, skol30( X, Y, Z ) ),
% 0.93/1.50 alpha27( X, Y, Z ) }.
% 0.93/1.50 { ! alpha12( X, Y, Z ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X
% 0.93/1.50 ), hBOOL( hAPP( Z, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) }.
% 0.93/1.50 { c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), alpha12( X, Y, Z ) }
% 0.93/1.50 .
% 0.93/1.50 { ! hBOOL( hAPP( Z, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), alpha12
% 0.93/1.50 ( X, Y, Z ) }.
% 0.93/1.50 { ! hBOOL( hAPP( Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) )
% 0.93/1.50 , ! alpha13( X, Y, Z ) }.
% 0.93/1.50 { ! hBOOL( hAPP( Z, c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) )
% 0.93/1.50 , ! alpha28( X, Y, Z ) }.
% 0.93/1.50 { alpha13( X, Y, Z ), alpha28( X, Y, Z ), hBOOL( hAPP( Z,
% 0.93/1.50 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Y, X ) ) ) }.
% 0.93/1.50 { ! alpha28( X, Y, Z ), ! hBOOL( hAPP( Z, skol31( T, U, Z ) ) ) }.
% 0.93/1.50 { ! alpha28( X, Y, Z ), Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.93/1.50 skol31( X, Y, Z ) ) }.
% 0.93/1.50 { ! Y = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, T ), hBOOL( hAPP( Z, T
% 0.93/1.50 ) ), alpha28( X, Y, Z ) }.
% 0.93/1.50 { ! alpha13( X, Y, Z ), c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X )
% 0.93/1.50 }.
% 0.93/1.50 { ! alpha13( X, Y, Z ), ! hBOOL( hAPP( Z, c_Groups_Ozero__class_Ozero(
% 0.93/1.50 tc_Nat_Onat ) ) ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, Y, X ), hBOOL( hAPP( Z,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ), alpha13( X, Y, Z ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.93/1.50 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, Z, c_Nat_OSuc(
% 0.93/1.50 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ) ) =
% 0.93/1.50 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.93/1.50 tc_Nat_Onat, Z, Y ), c_Nat_OSuc( X ) ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Y, X ),
% 0.93/1.50 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Nat_OSuc(
% 0.93/1.50 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, X, Y ) ), Z ) =
% 0.93/1.50 c_Groups_Ominus__class_Ominus( tc_Nat_Onat, c_Nat_OSuc( X ),
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, Z ) ) }.
% 0.93/1.50 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.50 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, Y ),
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.93/1.50 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Complex_Ocomplex, Y, X ) ),
% 0.93/1.50 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ) ) ) }.
% 0.93/1.50 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.93/1.50 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Complex_Ocomplex, Y, X ) ),
% 0.93/1.50 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, Y ) ),
% 0.93/1.50 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, X ) ) }.
% 0.93/1.50 { c_Groups_Ominus__class_Ominus( tc_Int_Oint,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, Y ),
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, X ) ) =
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Int_Oint,
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Int_Oint, Y,
% 0.93/1.50 c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, X ) ) ) }.
% 0.93/1.50 { c_Nat_OSuc( c_Nat_OSuc( c_Nat_OSuc( X ) ) ) = c_Groups_Oplus__class_Oplus
% 0.93/1.50 ( tc_Nat_Onat, c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit1
% 0.93/1.50 ( c_Int_OBit1( c_Int_OPls ) ) ), X ) }.
% 0.93/1.50 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Oone__class_Oone(
% 0.93/1.50 tc_Nat_Onat ), c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) =
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.50 c_Int_OPls ) ) ) }.
% 0.93/1.50 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.50 c_Int_OPls ) ) ), X ) = c_Nat_OSuc( c_Nat_OSuc( X ) ) }.
% 0.93/1.50 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.50 c_Int_OPls ) ) ) ) = c_Nat_OSuc( c_Nat_OSuc( X ) ) }.
% 0.93/1.50 { ! class_Int_Onumber__ring( X ), c_Groups_Ominus__class_Ominus( X,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( X, Y ), c_Groups_Oone__class_Oone( X )
% 0.93/1.50 ) = c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.93/1.50 tc_Int_Oint, Y, c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Int_OBit1
% 0.93/1.50 ( c_Int_OPls ) ) ) ) }.
% 0.93/1.50 { ! class_Int_Onumber__ring( X ), c_Groups_Ominus__class_Ominus( X,
% 0.93/1.50 c_Groups_Oone__class_Oone( X ), c_Int_Onumber__class_Onumber__of( X, Y )
% 0.93/1.50 ) = c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.93/1.50 tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), c_Groups_Ouminus__class_Ouminus(
% 0.93/1.50 tc_Int_Oint, Y ) ) ) }.
% 0.93/1.50 { ! class_Groups_Oab__group__add( X ), c_Groups_Ominus__class_Ominus( X,
% 0.93/1.50 c_Groups_Oplus__class_Oplus( X, U, T ), c_Groups_Oplus__class_Oplus( X, Z
% 0.93/1.50 , Y ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Ominus__class_Ominus(
% 0.93/1.50 X, U, Z ), c_Groups_Ominus__class_Ominus( X, T, Y ) ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ),
% 0.93/1.50 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ),
% 0.93/1.50 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.50 c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.50 c_Int_OPls ) ) ) ), c_Groups_Oone__class_Oone( tc_RealDef_Oreal ) ) }.
% 0.93/1.50 { c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.93/1.50 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Y, X ),
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.93/1.50 c_Int_OBit1( c_Int_OPls ) ) ) ), X ) = c_Rings_Oinverse__class_Odivide(
% 0.93/1.50 tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, Y, X )
% 0.93/1.50 , c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.93/1.50 c_Int_OBit1( c_Int_OPls ) ) ) ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_Int_Oint,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless( tc_Int_Oint, X,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Int_Oint, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.50 c_Int_OPls ) ) ) ), X = c_Groups_Ozero__class_Ozero( tc_Int_Oint ), X =
% 0.93/1.50 c_Groups_Oone__class_Oone( tc_Int_Oint ) }.
% 0.93/1.50 { c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.93/1.50 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.93/1.50 c_Int_OBit1( c_Int_OPls ) ) ) ), c_Rings_Oinverse__class_Odivide(
% 0.93/1.50 tc_RealDef_Oreal, X, c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal,
% 0.93/1.50 c_Int_OBit0( c_Int_OBit1( c_Int_OPls ) ) ) ) ) = X }.
% 0.93/1.50 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.93/1.50 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( X ), Z ), ! c_Orderings_Oord__class_Oless(
% 0.93/1.50 tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), T ),
% 0.93/1.50 c_Orderings_Oord__class_Oless( X, c_Power_Opower__class_Opower( X, Z, T )
% 0.93/1.50 , c_Power_Opower__class_Opower( X, Y, T ) ) }.
% 0.93/1.50 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) =
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) }.
% 0.93/1.50 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, c_Groups_Oplus__class_Oplus
% 0.93/1.50 ( tc_Nat_Onat, Y, X ) ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y,
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) ) }.
% 0.93/1.50 { c_Groups_Oplus__class_Oplus( tc_Nat_Onat, c_Groups_Oplus__class_Oplus(
% 0.93/1.50 tc_Nat_Onat, Z, Y ), X ) = c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z,
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, X ) ) }.
% 0.93/1.50 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) =
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ), Y = X }.
% 0.93/1.50 { ! Y = X, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) =
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, X ) }.
% 0.93/1.50 { ! c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) =
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ), Z = X }.
% 0.93/1.50 { ! Z = X, c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Z, Y ) =
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, X, Y ) }.
% 0.93/1.50 { ! class_Rings_Oring__1__no__zero__divisors( X ), Y =
% 0.93/1.50 c_Groups_Ozero__class_Ozero( X ), ! c_Power_Opower__class_Opower( X, Y, Z
% 0.93/1.50 ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.50 { ! class_Groups_Omonoid__mult( X ), c_Power_Opower__class_Opower( X,
% 0.93/1.50 c_Groups_Oone__class_Oone( X ), Y ) = c_Groups_Oone__class_Oone( X ) }.
% 0.93/1.50 { ! class_Fields_Ofield__inverse__zero( X ), c_Power_Opower__class_Opower(
% 0.93/1.50 X, c_Rings_Oinverse__class_Odivide( X, T, Z ), Y ) =
% 0.93/1.50 c_Rings_Oinverse__class_Odivide( X, c_Power_Opower__class_Opower( X, T, Y
% 0.93/1.50 ), c_Power_Opower__class_Opower( X, Z, Y ) ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__idom( X ), c_Groups_Oabs__class_Oabs( X,
% 0.93/1.50 c_Power_Opower__class_Opower( X, Z, Y ) ) = c_Power_Opower__class_Opower
% 0.93/1.50 ( X, c_Groups_Oabs__class_Oabs( X, Z ), Y ) }.
% 0.93/1.50 { ! class_Groups_Omonoid__mult( X ), c_Power_Opower__class_Opower( X, Y,
% 0.93/1.50 c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) = Y }.
% 0.93/1.50 { ! class_Rings_Olinordered__semidom( X ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.93/1.50 ), c_Orderings_Oord__class_Oless__eq( X, c_Power_Opower__class_Opower( X
% 0.93/1.50 , Z, T ), c_Power_Opower__class_Opower( X, Y, T ) ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__semidom( X ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.93/1.50 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.93/1.50 ), c_Power_Opower__class_Opower( X, Y, Z ) ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.93/1.50 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), c_Orderings_Oord__class_Oless
% 0.93/1.50 ( X, c_Groups_Ozero__class_Ozero( X ), c_Power_Opower__class_Opower( X, Y
% 0.93/1.50 , Z ) ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__semidom( X ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ), Y )
% 0.93/1.50 , c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ),
% 0.93/1.50 c_Power_Opower__class_Opower( X, Y, Z ) ) }.
% 0.93/1.50 { ! class_Power_Opower( X ), ! class_Rings_Omult__zero( X ), !
% 0.93/1.50 class_Rings_Ono__zero__divisors( X ), ! class_Rings_Ozero__neq__one( X )
% 0.93/1.50 , ! c_Power_Opower__class_Opower( X, Z, Y ) = c_Groups_Ozero__class_Ozero
% 0.93/1.50 ( X ), Z = c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.50 { ! class_Power_Opower( X ), ! class_Rings_Omult__zero( X ), !
% 0.93/1.50 class_Rings_Ono__zero__divisors( X ), ! class_Rings_Ozero__neq__one( X )
% 0.93/1.50 , ! c_Power_Opower__class_Opower( X, Z, Y ) = c_Groups_Ozero__class_Ozero
% 0.93/1.50 ( X ), ! Y = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.93/1.50 { ! class_Power_Opower( X ), ! class_Rings_Omult__zero( X ), !
% 0.93/1.50 class_Rings_Ono__zero__divisors( X ), ! class_Rings_Ozero__neq__one( X )
% 0.93/1.50 , ! Z = c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero
% 0.93/1.50 ( tc_Nat_Onat ), c_Power_Opower__class_Opower( X, Z, Y ) =
% 0.93/1.50 c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.93/1.50 ( X, c_Groups_Oone__class_Oone( X ), Y ), ! c_Power_Opower__class_Opower
% 0.93/1.50 ( X, Y, T ) = c_Power_Opower__class_Opower( X, Y, Z ), T = Z }.
% 0.93/1.50 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.93/1.50 ( X, c_Groups_Oone__class_Oone( X ), Y ), ! T = Z,
% 0.93/1.50 c_Power_Opower__class_Opower( X, Y, T ) = c_Power_Opower__class_Opower( X
% 0.93/1.50 , Y, Z ) }.
% 0.93/1.50 { ! class_Power_Opower( X ), ! class_Rings_Osemiring__0( X ),
% 0.93/1.50 c_Power_Opower__class_Opower( X, c_Groups_Ozero__class_Ozero( X ),
% 0.93/1.50 c_Nat_OSuc( Y ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.50 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.93/1.50 c_Power_Opower__class_Opower( X, c_Rings_Oinverse__class_Odivide( X, T, Y
% 0.93/1.50 ), Z ) = c_Rings_Oinverse__class_Odivide( X,
% 0.93/1.50 c_Power_Opower__class_Opower( X, T, Z ), c_Power_Opower__class_Opower( X
% 0.93/1.50 , Y, Z ) ) }.
% 0.93/1.50 { ! class_Power_Opower( X ), c_Power_Opower__class_Opower( X, Y,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) = c_Groups_Oone__class_Oone
% 0.93/1.50 ( X ) }.
% 0.93/1.50 { ! class_Fields_Ofield__inverse__zero( X ),
% 0.93/1.50 c_Rings_Oinverse__class_Odivide( X, c_Groups_Oone__class_Oone( X ),
% 0.93/1.50 c_Power_Opower__class_Opower( X, Z, Y ) ) = c_Power_Opower__class_Opower
% 0.93/1.50 ( X, c_Rings_Oinverse__class_Odivide( X, c_Groups_Oone__class_Oone( X ),
% 0.93/1.50 Z ), Y ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, X, c_Nat_OSuc( c_Nat_OSuc(
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) ) ), X =
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), X = c_Nat_OSuc(
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__idom( X ), c_Groups_Oabs__class_Oabs( X,
% 0.93/1.50 c_Power_Opower__class_Opower( X, c_Groups_Ouminus__class_Ouminus( X, Z )
% 0.93/1.50 , Y ) ) = c_Groups_Oabs__class_Oabs( X, c_Power_Opower__class_Opower( X,
% 0.93/1.50 Z, Y ) ) }.
% 0.93/1.50 { ! c_Power_Opower__class_Opower( tc_Nat_Onat, Y, X ) = c_Nat_OSuc(
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X =
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y = c_Nat_OSuc(
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.93/1.50 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.93/1.50 c_Power_Opower__class_Opower( tc_Nat_Onat, Y, X ) = c_Nat_OSuc(
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.93/1.50 { ! Y = c_Nat_OSuc( c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ),
% 0.93/1.50 c_Power_Opower__class_Opower( tc_Nat_Onat, Y, X ) = c_Nat_OSuc(
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.93/1.50 { c_Power_Opower__class_Opower( tc_Nat_Onat, c_Nat_OSuc(
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X ) = c_Nat_OSuc(
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.93/1.50 ( tc_Nat_Onat ), c_Power_Opower__class_Opower( tc_Nat_Onat, Y, X ) ),
% 0.93/1.50 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.93/1.50 tc_Nat_Onat ), Y ), X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.93/1.50 ( tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Power_Opower__class_Opower
% 0.93/1.50 ( tc_Nat_Onat, Y, X ) ) }.
% 0.93/1.50 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.93/1.50 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.93/1.50 tc_Nat_Onat ), c_Power_Opower__class_Opower( tc_Nat_Onat, Y, X ) ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.93/1.50 ( tc_Nat_Onat ), c_Power_Opower__class_Opower( tc_Nat_Onat, Y, X ) ), X =
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.93/1.50 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.93/1.50 tc_Nat_Onat ), Y ) }.
% 0.93/1.50 { ! X = c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.93/1.50 c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero(
% 0.93/1.50 tc_Nat_Onat ), c_Power_Opower__class_Opower( tc_Nat_Onat, Y, X ) ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.93/1.50 ( tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Power_Opower__class_Opower
% 0.93/1.50 ( tc_Nat_Onat, Y, X ) ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.93/1.50 ( tc_Nat_Onat ), X ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.93/1.50 c_Power_Opower__class_Opower( tc_Nat_Onat, X, Z ),
% 0.93/1.50 c_Power_Opower__class_Opower( tc_Nat_Onat, X, Y ) ),
% 0.93/1.50 c_Orderings_Oord__class_Oless( tc_Nat_Onat, Z, Y ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.93/1.50 ( X, c_Power_Opower__class_Opower( X, Z, T ),
% 0.93/1.50 c_Power_Opower__class_Opower( X, Y, T ) ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.93/1.50 ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__semidom( X ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( X, c_Power_Opower__class_Opower( X, Z
% 0.93/1.50 , c_Nat_OSuc( T ) ), c_Power_Opower__class_Opower( X, Y, c_Nat_OSuc( T )
% 0.93/1.50 ) ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero
% 0.93/1.50 ( X ), Y ), c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__semidom( X ), ! c_Power_Opower__class_Opower(
% 0.93/1.50 X, Z, c_Nat_OSuc( T ) ) = c_Power_Opower__class_Opower( X, Y, c_Nat_OSuc
% 0.93/1.50 ( T ) ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( X ), Z ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.93/1.50 ), Z = Y }.
% 0.93/1.50 { ! class_Power_Opower( X ), ! class_Rings_Osemiring__0( X ), ! Y =
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Power_Opower__class_Opower
% 0.93/1.50 ( X, c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Oone__class_Oone( X
% 0.93/1.50 ) }.
% 0.93/1.50 { ! class_Power_Opower( X ), ! class_Rings_Osemiring__0( X ), Y =
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Power_Opower__class_Opower
% 0.93/1.50 ( X, c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ozero__class_Ozero
% 0.93/1.50 ( X ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__idom( X ), c_Orderings_Oord__class_Oless__eq(
% 0.93/1.50 X, c_Groups_Ozero__class_Ozero( X ), c_Power_Opower__class_Opower( X,
% 0.93/1.50 c_Groups_Oabs__class_Oabs( X, Z ), Y ) ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.93/1.50 ( X, c_Groups_Oone__class_Oone( X ), Y ), c_Orderings_Oord__class_Oless(
% 0.93/1.50 X, c_Groups_Oone__class_Oone( X ), c_Power_Opower__class_Opower( X, Y,
% 0.93/1.50 c_Nat_OSuc( Z ) ) ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.93/1.50 , c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, T, Z )
% 0.93/1.50 ), Y ), c_Orderings_Oord__class_Oless( X, c_Groups_Ominus__class_Ominus
% 0.93/1.50 ( X, Z, Y ), T ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.93/1.50 , c_Groups_Oabs__class_Oabs( X, c_Groups_Ominus__class_Ominus( X, T, Z )
% 0.93/1.50 ), Y ), c_Orderings_Oord__class_Oless( X, T, c_Groups_Oplus__class_Oplus
% 0.93/1.50 ( X, Z, Y ) ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.93/1.50 , c_Groups_Ominus__class_Ominus( X, Z, Y ), T ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.93/1.50 ) ), c_Orderings_Oord__class_Oless( X, c_Groups_Oabs__class_Oabs( X,
% 0.93/1.50 c_Groups_Ominus__class_Ominus( X, T, Z ) ), Y ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.93/1.50 ( X, c_Groups_Oone__class_Oone( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.93/1.50 ( X, c_Power_Opower__class_Opower( X, Y, T ),
% 0.93/1.50 c_Power_Opower__class_Opower( X, Y, Z ) ), c_Orderings_Oord__class_Oless
% 0.93/1.50 ( tc_Nat_Onat, T, Z ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.93/1.50 ( X, c_Groups_Oone__class_Oone( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.93/1.50 ( tc_Nat_Onat, T, Z ), c_Orderings_Oord__class_Oless( X,
% 0.93/1.50 c_Power_Opower__class_Opower( X, Y, T ), c_Power_Opower__class_Opower( X
% 0.93/1.50 , Y, Z ) ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.93/1.50 ( X, c_Groups_Oone__class_Oone( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.93/1.50 ( X, c_Power_Opower__class_Opower( X, Y, T ),
% 0.93/1.50 c_Power_Opower__class_Opower( X, Y, Z ) ), c_Orderings_Oord__class_Oless
% 0.93/1.50 ( tc_Nat_Onat, T, Z ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.93/1.50 ( tc_Nat_Onat, Z, Y ), ! c_Orderings_Oord__class_Oless( X,
% 0.93/1.50 c_Groups_Oone__class_Oone( X ), T ), c_Orderings_Oord__class_Oless( X,
% 0.93/1.50 c_Power_Opower__class_Opower( X, T, Z ), c_Power_Opower__class_Opower( X
% 0.93/1.50 , T, Y ) ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__semidom( X ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, Y ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Oone__class_Oone( X ), T )
% 0.93/1.50 , c_Orderings_Oord__class_Oless__eq( X, c_Power_Opower__class_Opower( X,
% 0.93/1.50 T, Z ), c_Power_Opower__class_Opower( X, T, Y ) ) }.
% 0.93/1.50 { ! class_Power_Opower( X ), ! class_Rings_Omult__zero( X ), !
% 0.93/1.50 class_Rings_Ono__zero__divisors( X ), ! class_Rings_Ozero__neq__one( X )
% 0.93/1.50 , ! c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of
% 0.93/1.50 ( tc_Nat_Onat, Y ) ) = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.93/1.50 c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.50 { ! class_Power_Opower( X ), ! class_Rings_Omult__zero( X ), !
% 0.93/1.50 class_Rings_Ono__zero__divisors( X ), ! class_Rings_Ozero__neq__one( X )
% 0.93/1.50 , ! c_Power_Opower__class_Opower( X, Z, c_Int_Onumber__class_Onumber__of
% 0.93/1.50 ( tc_Nat_Onat, Y ) ) = c_Groups_Ozero__class_Ozero( X ), !
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ) =
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) }.
% 0.93/1.50 { ! class_Power_Opower( X ), ! class_Rings_Omult__zero( X ), !
% 0.93/1.50 class_Rings_Ono__zero__divisors( X ), ! class_Rings_Ozero__neq__one( X )
% 0.93/1.50 , ! Z = c_Groups_Ozero__class_Ozero( X ),
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ) =
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Power_Opower__class_Opower
% 0.93/1.50 ( X, Z, c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ) ) =
% 0.93/1.50 c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc(
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ), X ),
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, c_Nat_OSuc(
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ),
% 0.93/1.50 c_Power_Opower__class_Opower( tc_Nat_Onat, X, Y ) ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.93/1.50 ( tc_Nat_Onat ), c_Power_Opower__class_Opower( tc_Nat_Onat, Y,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) ),
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) =
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Orderings_Oord__class_Oless
% 0.93/1.50 ( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Y ) }.
% 0.93/1.50 { ! c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) =
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Orderings_Oord__class_Oless
% 0.93/1.50 ( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ),
% 0.93/1.50 c_Power_Opower__class_Opower( tc_Nat_Onat, Y,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( tc_Nat_Onat, c_Groups_Ozero__class_Ozero
% 0.93/1.50 ( tc_Nat_Onat ), Y ), c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Power_Opower__class_Opower
% 0.93/1.50 ( tc_Nat_Onat, Y, c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, X ) ) )
% 0.93/1.50 }.
% 0.93/1.50 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.93/1.50 ( X, c_Groups_Ozero__class_Ozero( X ), Y ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Oone__class_Oone( X ) ),
% 0.93/1.50 c_Orderings_Oord__class_Oless( X, c_Power_Opower__class_Opower( X, Y,
% 0.93/1.50 c_Nat_OSuc( Z ) ), c_Groups_Oone__class_Oone( X ) ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.93/1.50 ( tc_Nat_Onat, Z, Y ), ! c_Orderings_Oord__class_Oless( X,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( X ), T ), ! c_Orderings_Oord__class_Oless( X
% 0.93/1.50 , T, c_Groups_Oone__class_Oone( X ) ), c_Orderings_Oord__class_Oless( X,
% 0.93/1.50 c_Power_Opower__class_Opower( X, T, Y ), c_Power_Opower__class_Opower( X
% 0.93/1.50 , T, Z ) ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__semidom( X ), ! c_Power_Opower__class_Opower(
% 0.93/1.50 X, T, Z ) = c_Power_Opower__class_Opower( X, Y, Z ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.93/1.50 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.93/1.50 X ), Y ), ! c_Orderings_Oord__class_Oless( tc_Nat_Onat,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Z ), T = Y }.
% 0.93/1.50 { ! class_Rings_Olinordered__semidom( X ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, Z, Y ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.93/1.50 ), ! c_Orderings_Oord__class_Oless__eq( X, T, c_Groups_Oone__class_Oone
% 0.93/1.50 ( X ) ), c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.50 c_Power_Opower__class_Opower( X, T, Y ), c_Power_Opower__class_Opower( X
% 0.93/1.50 , T, Z ) ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.93/1.50 ( X, c_Groups_Oone__class_Oone( X ), Y ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( X, c_Power_Opower__class_Opower( X, Y
% 0.93/1.50 , T ), c_Power_Opower__class_Opower( X, Y, Z ) ),
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, Z ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.93/1.50 ( X, c_Groups_Oone__class_Oone( X ), Y ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( X, c_Power_Opower__class_Opower( X, Y
% 0.93/1.50 , T ), c_Power_Opower__class_Opower( X, Y, Z ) ),
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, Z ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.93/1.50 ( X, c_Groups_Oone__class_Oone( X ), Y ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, Z ),
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( X, c_Power_Opower__class_Opower( X, Y
% 0.93/1.50 , T ), c_Power_Opower__class_Opower( X, Y, Z ) ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.93/1.50 ( X, c_Groups_Oone__class_Oone( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.93/1.50 ( tc_Nat_Onat, c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), Z ),
% 0.93/1.50 c_Orderings_Oord__class_Oless( X, c_Groups_Oone__class_Oone( X ),
% 0.93/1.50 c_Power_Opower__class_Opower( X, Y, Z ) ) }.
% 0.93/1.50 { ! class_Power_Opower( X ), ! class_Rings_Osemiring__0( X ), !
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ) =
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Power_Opower__class_Opower
% 0.93/1.50 ( X, c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of(
% 0.93/1.50 tc_Nat_Onat, Y ) ) = c_Groups_Oone__class_Oone( X ) }.
% 0.93/1.50 { ! class_Power_Opower( X ), ! class_Rings_Osemiring__0( X ),
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, Y ) =
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_Nat_Onat ), c_Power_Opower__class_Opower
% 0.93/1.50 ( X, c_Groups_Ozero__class_Ozero( X ), c_Int_Onumber__class_Onumber__of(
% 0.93/1.50 tc_Nat_Onat, Y ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.50 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, T, Z ),
% 0.93/1.50 c_Power_Opower__class_Opower( X, Y, c_Groups_Ominus__class_Ominus(
% 0.93/1.50 tc_Nat_Onat, Z, T ) ) = c_Rings_Oinverse__class_Odivide( X,
% 0.93/1.50 c_Power_Opower__class_Opower( X, Y, Z ), c_Power_Opower__class_Opower( X
% 0.93/1.50 , Y, T ) ) }.
% 0.93/1.50 { c_Power_Opower__class_Opower( tc_Complex_Ocomplex,
% 0.93/1.50 c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt( X ),
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.50 c_Int_OPls ) ) ) ) = X }.
% 0.93/1.50 { ! class_Rings_Ocomm__semiring__1( X ), c_Power_Opower__class_Opower( X, Y
% 0.93/1.50 , c_Groups_Ozero__class_Ozero( tc_Nat_Onat ) ) =
% 0.93/1.50 c_Groups_Oone__class_Oone( X ) }.
% 0.93/1.50 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, Z
% 0.93/1.50 , Y ) = c_Groups_Oplus__class_Oplus( X, Y, Z ) }.
% 0.93/1.50 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, T
% 0.93/1.50 , c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus
% 0.93/1.50 ( X, Z, c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.93/1.50 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, T
% 0.93/1.50 , c_Groups_Oplus__class_Oplus( X, Z, Y ) ) = c_Groups_Oplus__class_Oplus
% 0.93/1.50 ( X, c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) }.
% 0.93/1.50 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.93/1.50 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.93/1.50 ( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y ) ) }.
% 0.93/1.50 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.93/1.50 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.93/1.50 ( X, c_Groups_Oplus__class_Oplus( X, T, Y ), Z ) }.
% 0.93/1.50 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.93/1.50 c_Groups_Oplus__class_Oplus( X, U, T ), c_Groups_Oplus__class_Oplus( X, Z
% 0.93/1.50 , Y ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Oplus__class_Oplus( X
% 0.93/1.50 , U, Z ), c_Groups_Oplus__class_Oplus( X, T, Y ) ) }.
% 0.93/1.50 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.93/1.50 ( X ), ! Z = c_Groups_Oplus__class_Oplus( X, Z, Y ), Y =
% 0.93/1.50 c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.50 { ! class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct
% 0.93/1.50 ( X ), ! Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.93/1.50 c_Groups_Oplus__class_Oplus( X, Z, Y ) }.
% 0.93/1.50 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X, Y
% 0.93/1.50 , c_Groups_Ozero__class_Ozero( X ) ) = Y }.
% 0.93/1.50 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Oplus__class_Oplus( X,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( X ), Y ) = Y }.
% 0.93/1.50 { ! class_Rings_Ocomm__semiring__1( X ), c_Power_Opower__class_Opower( X, Y
% 0.93/1.50 , c_Groups_Oone__class_Oone( tc_Nat_Onat ) ) = Y }.
% 0.93/1.50 { ! class_Rings_Ocomm__ring__1( X ), c_Groups_Ominus__class_Ominus( X, Z, Y
% 0.93/1.50 ) = c_Groups_Oplus__class_Oplus( X, Z, c_Groups_Ouminus__class_Ouminus(
% 0.93/1.50 X, Y ) ) }.
% 0.93/1.50 { ! class_Int_Onumber__ring( X ), ! c_Int_Onumber__class_Onumber__of( X, Y
% 0.93/1.50 ) = c_Groups_Oone__class_Oone( X ), c_Int_Oiszero( X,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.93/1.50 tc_Int_Oint, Y, c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Int_OBit1
% 0.93/1.50 ( c_Int_OPls ) ) ) ) ) }.
% 0.93/1.50 { ! class_Int_Onumber__ring( X ), ! c_Int_Oiszero( X,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.93/1.50 tc_Int_Oint, Y, c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Int_OBit1
% 0.93/1.50 ( c_Int_OPls ) ) ) ) ), c_Int_Onumber__class_Onumber__of( X, Y ) =
% 0.93/1.50 c_Groups_Oone__class_Oone( X ) }.
% 0.93/1.50 { ! class_Int_Onumber__ring( X ), ! c_Groups_Oone__class_Oone( X ) =
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( X, Y ), c_Int_Oiszero( X,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.93/1.50 tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), c_Groups_Ouminus__class_Ouminus(
% 0.93/1.50 tc_Int_Oint, Y ) ) ) ) }.
% 0.93/1.50 { ! class_Int_Onumber__ring( X ), ! c_Int_Oiszero( X,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.93/1.50 tc_Int_Oint, c_Int_OBit1( c_Int_OPls ), c_Groups_Ouminus__class_Ouminus(
% 0.93/1.50 tc_Int_Oint, Y ) ) ) ), c_Groups_Oone__class_Oone( X ) =
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( X, Y ) }.
% 0.93/1.50 { ! class_Rings_Osemiring__1( X ), ! c_Int_Oiszero( X, Y ), Y =
% 0.93/1.50 c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.50 { ! class_Rings_Osemiring__1( X ), ! Y = c_Groups_Ozero__class_Ozero( X ),
% 0.93/1.50 c_Int_Oiszero( X, Y ) }.
% 0.93/1.50 { ! class_Rings_Osemiring__1( X ), c_Int_Oiszero( X,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.93/1.50 { ! class_Rings_Osemiring__1( X ), ! c_Int_Oiszero( X,
% 0.93/1.50 c_Groups_Oone__class_Oone( X ) ) }.
% 0.93/1.50 { ! class_Int_Onumber__ring( X ), ! class_Int_Oring__char__0( X ), !
% 0.93/1.50 c_Int_Oiszero( X, c_Int_Onumber__class_Onumber__of( X, c_Int_OBit1( Y ) )
% 0.93/1.50 ) }.
% 0.93/1.50 { ! class_Int_Onumber__ring( X ), c_Int_Oiszero( X,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( X, c_Int_OPls ) ) }.
% 0.93/1.50 { ! class_Int_Onumber__ring( X ), ! class_Int_Oring__char__0( X ), !
% 0.93/1.50 c_Int_Oiszero( X, c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( Y ) )
% 0.93/1.50 ), c_Int_Oiszero( X, c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.93/1.50 { ! class_Int_Onumber__ring( X ), ! class_Int_Oring__char__0( X ), !
% 0.93/1.50 c_Int_Oiszero( X, c_Int_Onumber__class_Onumber__of( X, Y ) ),
% 0.93/1.50 c_Int_Oiszero( X, c_Int_Onumber__class_Onumber__of( X, c_Int_OBit0( Y ) )
% 0.93/1.50 ) }.
% 0.93/1.50 { ! class_Int_Onumber__ring( X ), ! c_Int_Oiszero( X,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( X, c_Int_OBit1( c_Int_OPls ) ) ) }.
% 0.93/1.50 { ! class_Int_Onumber__ring( X ), ! c_Int_Onumber__class_Onumber__of( X, Z
% 0.93/1.50 ) = c_Int_Onumber__class_Onumber__of( X, Y ), c_Int_Oiszero( X,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.93/1.50 tc_Int_Oint, Z, c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y ) ) ) ) }
% 0.93/1.50 .
% 0.93/1.50 { ! class_Int_Onumber__ring( X ), ! c_Int_Oiszero( X,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.93/1.50 tc_Int_Oint, Z, c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y ) ) ) ),
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( X, Z ) =
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( X, Y ) }.
% 0.93/1.50 { ! class_Int_Onumber__ring( X ), ! c_Groups_Ozero__class_Ozero( X ) =
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( X, Y ), c_Int_Oiszero( X,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.93/1.50 tc_Int_Oint, c_Int_OPls, c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y
% 0.93/1.50 ) ) ) ) }.
% 0.93/1.50 { ! class_Int_Onumber__ring( X ), ! c_Int_Oiszero( X,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.93/1.50 tc_Int_Oint, c_Int_OPls, c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, Y
% 0.93/1.50 ) ) ) ), c_Groups_Ozero__class_Ozero( X ) =
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( X, Y ) }.
% 0.93/1.50 { ! class_Int_Onumber__ring( X ), ! c_Int_Onumber__class_Onumber__of( X, Y
% 0.93/1.50 ) = c_Groups_Ozero__class_Ozero( X ), c_Int_Oiszero( X,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.93/1.50 tc_Int_Oint, Y, c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Int_OPls
% 0.93/1.50 ) ) ) ) }.
% 0.93/1.50 { ! class_Int_Onumber__ring( X ), ! c_Int_Oiszero( X,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( X, c_Groups_Oplus__class_Oplus(
% 0.93/1.50 tc_Int_Oint, Y, c_Groups_Ouminus__class_Ouminus( tc_Int_Oint, c_Int_OPls
% 0.93/1.50 ) ) ) ), c_Int_Onumber__class_Onumber__of( X, Y ) =
% 0.93/1.50 c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, c_RealDef_Oreal(
% 0.93/1.50 tc_Nat_Onat, Y ), X ), ! c_Orderings_Oord__class_Oless__eq(
% 0.93/1.50 tc_RealDef_Oreal, X, c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.93/1.50 c_RealDef_Oreal( tc_Nat_Onat, Y ), c_Groups_Oone__class_Oone(
% 0.93/1.50 tc_RealDef_Oreal ) ) ), c_RComplete_Onatceiling( X ) =
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_Nat_Onat, Y, c_Groups_Oone__class_Oone(
% 0.93/1.50 tc_Nat_Onat ) ) }.
% 0.93/1.50 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), c_NthRoot_Osqrt(
% 0.93/1.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.93/1.50 c_Power_Opower__class_Opower( tc_RealDef_Oreal, T,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.50 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, Z,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.50 c_Int_OPls ) ) ) ) ), c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.93/1.50 c_Power_Opower__class_Opower( tc_RealDef_Oreal, Y,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.50 c_Int_OPls ) ) ) ), c_Power_Opower__class_Opower( tc_RealDef_Oreal, X,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.50 c_Int_OPls ) ) ) ) ) ) ) ) }.
% 0.93/1.50 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.93/1.50 ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.93/1.50 T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.93/1.50 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Oplus__class_Oplus( X, Z, Y
% 0.93/1.50 ) ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.93/1.50 T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.93/1.50 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.93/1.50 , Y ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 0.93/1.50 , T, Y ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.93/1.50 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.93/1.50 , Y ) = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X
% 0.93/1.50 , T, Y ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.93/1.50 { ! class_Rings_Ocomm__semiring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.93/1.50 c_Groups_Oplus__class_Oplus( X, T, Z ), Y ) = c_Groups_Oplus__class_Oplus
% 0.93/1.50 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ),
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.93/1.50 { ! class_Rings_Osemiring( X ), c_Groups_Oplus__class_Oplus( X,
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Oplus__class_Oplus( X
% 0.93/1.50 , c_Groups_Otimes__class_Otimes( X, Z, T ), Y ) ) =
% 0.93/1.50 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.93/1.50 c_Groups_Oplus__class_Oplus( X, U, Z ), T ), Y ) }.
% 0.93/1.50 { c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal, Z, Y ), X ) =
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 0.93/1.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.93/1.50 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z )
% 0.93/1.50 , c_Groups_Otimes__class_Otimes( X, Y, Y ) ) =
% 0.93/1.50 c_Groups_Ozero__class_Ozero( X ), Z = c_Groups_Ozero__class_Ozero( X ) }
% 0.93/1.50 .
% 0.93/1.50 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.93/1.50 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z )
% 0.93/1.50 , c_Groups_Otimes__class_Otimes( X, Y, Y ) ) =
% 0.93/1.50 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.93/1.50 .
% 0.93/1.50 { ! class_Rings_Olinordered__ring__strict( X ), ! Z =
% 0.93/1.50 c_Groups_Ozero__class_Ozero( X ), ! Y = c_Groups_Ozero__class_Ozero( X )
% 0.93/1.50 , c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, Z
% 0.93/1.50 ), c_Groups_Otimes__class_Otimes( X, Y, Y ) ) =
% 0.93/1.50 c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.50 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, c_Groups_Ouminus__class_Ouminus( X, Z )
% 0.93/1.50 , Y ) = c_Groups_Ouminus__class_Ouminus( X, c_Groups_Otimes__class_Otimes
% 0.93/1.50 ( X, Z, Y ) ) }.
% 0.93/1.50 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, c_Groups_Ouminus__class_Ouminus( X, Z )
% 0.93/1.50 , Y ) = c_Groups_Ouminus__class_Ouminus( X, c_Groups_Otimes__class_Otimes
% 0.93/1.50 ( X, Z, Y ) ) }.
% 0.93/1.50 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, Z, c_Groups_Ouminus__class_Ouminus( X,
% 0.93/1.50 Y ) ) = c_Groups_Ouminus__class_Ouminus( X, c_Groups_Otimes__class_Otimes
% 0.93/1.50 ( X, Z, Y ) ) }.
% 0.93/1.50 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, Z, c_Groups_Ouminus__class_Ouminus( X,
% 0.93/1.50 Y ) ) = c_Groups_Ouminus__class_Ouminus( X, c_Groups_Otimes__class_Otimes
% 0.93/1.50 ( X, Z, Y ) ) }.
% 0.93/1.50 { ! class_Rings_Oidom( X ), ! c_Groups_Otimes__class_Otimes( X, Z, Z ) =
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, Y, Y ), Z = Y, Z =
% 0.93/1.50 c_Groups_Ouminus__class_Ouminus( X, Y ) }.
% 0.93/1.50 { ! class_Rings_Oidom( X ), ! Z = Y, c_Groups_Otimes__class_Otimes( X, Z, Z
% 0.93/1.50 ) = c_Groups_Otimes__class_Otimes( X, Y, Y ) }.
% 0.93/1.50 { ! class_Rings_Oidom( X ), ! Z = c_Groups_Ouminus__class_Ouminus( X, Y ),
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, Z, Z ) = c_Groups_Otimes__class_Otimes
% 0.93/1.50 ( X, Y, Y ) }.
% 0.93/1.50 { ! class_Rings_Oring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.93/1.50 c_Groups_Ouminus__class_Ouminus( X, Z ), c_Groups_Ouminus__class_Ouminus
% 0.93/1.50 ( X, Y ) ) = c_Groups_Otimes__class_Otimes( X, Z, Y ) }.
% 0.93/1.50 { ! class_Rings_Oring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.93/1.50 c_Groups_Ouminus__class_Ouminus( X, Z ), Y ) =
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, Z, c_Groups_Ouminus__class_Ouminus( X,
% 0.93/1.50 Y ) ) }.
% 0.93/1.50 { ! class_Rings_Oring( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, c_Groups_Ouminus__class_Ouminus( X, Z )
% 0.93/1.50 , Y ) }.
% 0.93/1.50 { ! class_Rings_Oring( X ), c_Groups_Ouminus__class_Ouminus( X,
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, Z, c_Groups_Ouminus__class_Ouminus( X,
% 0.93/1.50 Y ) ) }.
% 0.93/1.50 { c_RComplete_Onatceiling( c_RealDef_Oreal( tc_Nat_Onat, X ) ) = X }.
% 0.93/1.50 { ! class_Rings_Olinordered__semidom( X ), ! c_Orderings_Oord__class_Oless
% 0.93/1.50 ( X, c_Groups_Oone__class_Oone( X ), Y ), ! c_Orderings_Oord__class_Oless
% 0.93/1.50 ( X, c_Groups_Oone__class_Oone( X ), Z ), c_Orderings_Oord__class_Oless(
% 0.93/1.50 X, c_Groups_Oone__class_Oone( X ), c_Groups_Otimes__class_Otimes( X, Y, Z
% 0.93/1.50 ) ) }.
% 0.93/1.50 { ! class_Int_Onumber( X ), ! class_Rings_Osemiring( X ),
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.93/1.50 ), c_Groups_Oplus__class_Oplus( X, Z, Y ) ) =
% 0.93/1.50 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( X, T ), Z ),
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.93/1.50 ), Y ) ) }.
% 0.93/1.50 { ! class_Int_Onumber( X ), ! class_Rings_Osemiring( X ),
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, c_Groups_Oplus__class_Oplus( X, T, Z )
% 0.93/1.50 , c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.93/1.50 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, T,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( X, Y ) ), c_Groups_Otimes__class_Otimes
% 0.93/1.50 ( X, Z, c_Int_Onumber__class_Onumber__of( X, Y ) ) ) }.
% 0.93/1.50 { ! class_Rings_Oring( X ), c_Groups_Ominus__class_Ominus( X,
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.93/1.50 X, Z, Y ) ) = c_Groups_Oplus__class_Oplus( X,
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, U, c_Groups_Ominus__class_Ominus( X, T
% 0.93/1.50 , Y ) ), c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus
% 0.93/1.50 ( X, U, Z ), Y ) ) }.
% 0.93/1.50 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.93/1.50 c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X, U, T
% 0.93/1.50 ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.93/1.50 c_Groups_Oplus__class_Oplus( X, c_Groups_Oplus__class_Oplus( X,
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, U, Z
% 0.93/1.50 ), c_Groups_Ominus__class_Ominus( X, T, Y ) ),
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, U, Z
% 0.93/1.50 ), Y ) ), c_Groups_Otimes__class_Otimes( X, Z,
% 0.93/1.50 c_Groups_Ominus__class_Ominus( X, T, Y ) ) ) }.
% 0.93/1.50 { ! class_Rings_Oring( X ), ! c_Groups_Oplus__class_Oplus( X,
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, W, U ), T ) =
% 0.93/1.50 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.93/1.50 , Y ), T = c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes
% 0.93/1.50 ( X, c_Groups_Ominus__class_Ominus( X, Z, W ), U ), Y ) }.
% 0.93/1.50 { ! class_Rings_Oring( X ), ! T = c_Groups_Oplus__class_Oplus( X,
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, Z, W
% 0.93/1.50 ), U ), Y ), c_Groups_Oplus__class_Oplus( X,
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, W, U ), T ) =
% 0.93/1.50 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.93/1.50 , Y ) }.
% 0.93/1.50 { ! class_Rings_Oring( X ), ! c_Groups_Oplus__class_Oplus( X,
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, W, U ), T ) =
% 0.93/1.50 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.93/1.50 , Y ), c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X,
% 0.93/1.50 c_Groups_Ominus__class_Ominus( X, W, Z ), U ), T ) = Y }.
% 0.93/1.50 { ! class_Rings_Oring( X ), ! c_Groups_Oplus__class_Oplus( X,
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, W, Z
% 0.93/1.50 ), U ), T ) = Y, c_Groups_Oplus__class_Oplus( X,
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, W, U ), T ) =
% 0.93/1.50 c_Groups_Oplus__class_Oplus( X, c_Groups_Otimes__class_Otimes( X, Z, U )
% 0.93/1.50 , Y ) }.
% 0.93/1.50 { ! class_Int_Onumber( X ), ! class_Rings_Oring( X ),
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.93/1.50 ), c_Groups_Ominus__class_Ominus( X, Z, Y ) ) =
% 0.93/1.50 c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( X, T ), Z ),
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, T
% 0.93/1.50 ), Y ) ) }.
% 0.93/1.50 { ! class_Int_Onumber( X ), ! class_Rings_Oring( X ),
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, T, Z
% 0.93/1.50 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.93/1.50 c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes( X, T,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( X, Y ) ), c_Groups_Otimes__class_Otimes
% 0.93/1.50 ( X, Z, c_Int_Onumber__class_Onumber__of( X, Y ) ) ) }.
% 0.93/1.50 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.93/1.50 , ! T = c_Rings_Oinverse__class_Odivide( X, Z, Y ),
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, T, Y ) = Z }.
% 0.93/1.50 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.93/1.50 , ! c_Groups_Otimes__class_Otimes( X, T, Y ) = Z, T =
% 0.93/1.50 c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.93/1.50 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.93/1.50 , ! c_Rings_Oinverse__class_Odivide( X, T, Y ) = Z, T =
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, Z, Y ) }.
% 0.93/1.50 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.93/1.50 , ! T = c_Groups_Otimes__class_Otimes( X, Z, Y ),
% 0.93/1.50 c_Rings_Oinverse__class_Odivide( X, T, Y ) = Z }.
% 0.93/1.50 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.93/1.50 , ! T = c_Groups_Otimes__class_Otimes( X, Z, Y ),
% 0.93/1.50 c_Rings_Oinverse__class_Odivide( X, T, Y ) = Z }.
% 0.93/1.50 { ! class_Rings_Odivision__ring( X ), Y = c_Groups_Ozero__class_Ozero( X )
% 0.93/1.50 , ! c_Groups_Otimes__class_Otimes( X, T, Y ) = Z, T =
% 0.93/1.50 c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.93/1.50 { ! class_Fields_Ofield__inverse__zero( X ), ! T =
% 0.93/1.50 c_Rings_Oinverse__class_Odivide( X, Z, Y ), alpha29( X, Y, Z, T ) }.
% 0.93/1.50 { ! class_Fields_Ofield__inverse__zero( X ), ! T =
% 0.93/1.50 c_Rings_Oinverse__class_Odivide( X, Z, Y ), alpha14( X, Y, T ) }.
% 0.93/1.50 { ! class_Fields_Ofield__inverse__zero( X ), ! alpha29( X, Y, Z, T ), !
% 0.93/1.50 alpha14( X, Y, T ), T = c_Rings_Oinverse__class_Odivide( X, Z, Y ) }.
% 0.93/1.50 { ! alpha29( X, Y, Z, T ), Y = c_Groups_Ozero__class_Ozero( X ),
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, T, Y ) = Z }.
% 0.93/1.50 { ! Y = c_Groups_Ozero__class_Ozero( X ), alpha29( X, Y, Z, T ) }.
% 0.93/1.50 { ! c_Groups_Otimes__class_Otimes( X, T, Y ) = Z, alpha29( X, Y, Z, T ) }.
% 0.93/1.50 { ! alpha14( X, Y, Z ), ! Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.93/1.50 c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.50 { Y = c_Groups_Ozero__class_Ozero( X ), alpha14( X, Y, Z ) }.
% 0.93/1.50 { ! Z = c_Groups_Ozero__class_Ozero( X ), alpha14( X, Y, Z ) }.
% 0.93/1.50 { ! class_Fields_Ofield__inverse__zero( X ), !
% 0.93/1.50 c_Rings_Oinverse__class_Odivide( X, T, Z ) = Y, alpha30( X, Y, Z, T ) }.
% 0.93/1.50 { ! class_Fields_Ofield__inverse__zero( X ), !
% 0.93/1.50 c_Rings_Oinverse__class_Odivide( X, T, Z ) = Y, alpha15( X, Y, Z ) }.
% 0.93/1.50 { ! class_Fields_Ofield__inverse__zero( X ), ! alpha30( X, Y, Z, T ), !
% 0.93/1.50 alpha15( X, Y, Z ), c_Rings_Oinverse__class_Odivide( X, T, Z ) = Y }.
% 0.93/1.50 { ! alpha30( X, Y, Z, T ), Z = c_Groups_Ozero__class_Ozero( X ), T =
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, Y, Z ) }.
% 0.93/1.50 { ! Z = c_Groups_Ozero__class_Ozero( X ), alpha30( X, Y, Z, T ) }.
% 0.93/1.50 { ! T = c_Groups_Otimes__class_Otimes( X, Y, Z ), alpha30( X, Y, Z, T ) }.
% 0.93/1.50 { ! alpha15( X, Y, Z ), ! Z = c_Groups_Ozero__class_Ozero( X ), Y =
% 0.93/1.50 c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.50 { Z = c_Groups_Ozero__class_Ozero( X ), alpha15( X, Y, Z ) }.
% 0.93/1.50 { ! Y = c_Groups_Ozero__class_Ozero( X ), alpha15( X, Y, Z ) }.
% 0.93/1.50 { ! class_Fields_Ofield__inverse__zero( X ), Y =
% 0.93/1.50 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, T, Y ), c_Groups_Otimes__class_Otimes(
% 0.93/1.50 X, Z, Y ) ) = c_Rings_Oinverse__class_Odivide( X, T, Z ) }.
% 0.93/1.50 { ! class_Fields_Ofield__inverse__zero( X ), Y =
% 0.93/1.50 c_Groups_Ozero__class_Ozero( X ), c_Rings_Oinverse__class_Odivide( X,
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, Y, T ), c_Groups_Otimes__class_Otimes(
% 0.93/1.50 X, Y, Z ) ) = c_Rings_Oinverse__class_Odivide( X, T, Z ) }.
% 0.93/1.50 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.93/1.50 c_Groups_Ozero__class_Ozero( X ), ! c_Rings_Oinverse__class_Odivide( X, U
% 0.93/1.50 , Y ) = c_Rings_Oinverse__class_Odivide( X, T, Z ),
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, U, Z ) = c_Groups_Otimes__class_Otimes
% 0.93/1.50 ( X, T, Y ) }.
% 0.93/1.50 { ! class_Fields_Ofield( X ), Y = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.93/1.50 c_Groups_Ozero__class_Ozero( X ), ! c_Groups_Otimes__class_Otimes( X, U,
% 0.93/1.50 Z ) = c_Groups_Otimes__class_Otimes( X, T, Y ),
% 0.93/1.50 c_Rings_Oinverse__class_Odivide( X, U, Y ) =
% 0.93/1.50 c_Rings_Oinverse__class_Odivide( X, T, Z ) }.
% 0.93/1.50 { ! class_Rings_Oring__1__no__zero__divisors( X ), !
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, Y, Y ) = c_Groups_Oone__class_Oone( X )
% 0.93/1.50 , Y = c_Groups_Oone__class_Oone( X ), Y = c_Groups_Ouminus__class_Ouminus
% 0.93/1.50 ( X, c_Groups_Oone__class_Oone( X ) ) }.
% 0.93/1.50 { ! class_Rings_Oring__1__no__zero__divisors( X ), ! Y =
% 0.93/1.50 c_Groups_Oone__class_Oone( X ), c_Groups_Otimes__class_Otimes( X, Y, Y )
% 0.93/1.50 = c_Groups_Oone__class_Oone( X ) }.
% 0.93/1.50 { ! class_Rings_Oring__1__no__zero__divisors( X ), ! Y =
% 0.93/1.50 c_Groups_Ouminus__class_Ouminus( X, c_Groups_Oone__class_Oone( X ) ),
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, Y, Y ) = c_Groups_Oone__class_Oone( X )
% 0.93/1.50 }.
% 0.93/1.50 { ! class_Rings_Olinordered__idom( X ), ! c_Orderings_Oord__class_Oless( X
% 0.93/1.50 , c_Groups_Oabs__class_Oabs( X, Z ), Y ), ! c_Orderings_Oord__class_Oless
% 0.93/1.50 ( X, c_Groups_Oabs__class_Oabs( X, U ), T ),
% 0.93/1.50 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X,
% 0.93/1.50 c_Groups_Oabs__class_Oabs( X, Z ), c_Groups_Oabs__class_Oabs( X, U ) ),
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.93/1.50 { c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.93/1.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ), X =
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.93/1.50 { ! X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.93/1.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 0.93/1.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ),
% 0.93/1.50 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Z, Y ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Z, Y ),
% 0.93/1.50 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ),
% 0.93/1.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y ),
% 0.93/1.50 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.93/1.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal, Z, Y ),
% 0.93/1.50 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ),
% 0.93/1.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) ) }.
% 0.93/1.50 { ! c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ),
% 0.93/1.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) =
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), Y =
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.93/1.50 { ! c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ),
% 0.93/1.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) =
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X =
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.93/1.50 { ! Y = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! X =
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.93/1.50 c_Groups_Oplus__class_Oplus( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ),
% 0.93/1.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) =
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ) }.
% 0.93/1.50 { c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ) ),
% 0.93/1.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X ) ) }.
% 0.93/1.50 { c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, hAPP( Z, Y ),
% 0.93/1.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.93/1.50 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, hAPP( Z, X ), hAPP( Z, Y
% 0.93/1.50 ) ), c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X, Y ) ), Y ) ) =
% 0.93/1.50 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, hAPP( Z, X ),
% 0.93/1.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.93/1.50 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, hAPP( Z, X ), hAPP( Z, Y
% 0.93/1.50 ) ), c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal, X, Y ) ), X ) ) }
% 0.93/1.50 .
% 0.93/1.50 { c_NthRoot_Osqrt( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, X )
% 0.93/1.50 ) = c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal, X ) }.
% 0.93/1.50 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Ominus__class_Ominus( X, Z
% 0.93/1.50 , Y ) ) = c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes
% 0.93/1.50 ( X, T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.93/1.50 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Ominus__class_Ominus( X, Z
% 0.93/1.50 , Y ) ) = c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes
% 0.93/1.50 ( X, T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.93/1.50 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, T, Z
% 0.93/1.50 ), Y ) = c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes
% 0.93/1.50 ( X, T, Y ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.93/1.50 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, c_Groups_Ominus__class_Ominus( X, T, Z
% 0.93/1.50 ), Y ) = c_Groups_Ominus__class_Ominus( X, c_Groups_Otimes__class_Otimes
% 0.93/1.50 ( X, T, Y ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.93/1.50 { ! class_Rings_Odivision__ring( X ), c_Groups_Otimes__class_Otimes( X, T,
% 0.93/1.50 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 0.93/1.50 c_Rings_Oinverse__class_Odivide( X, c_Groups_Otimes__class_Otimes( X, T,
% 0.93/1.50 Z ), Y ) }.
% 0.93/1.50 { ! class_Fields_Ofield__inverse__zero( X ), c_Groups_Otimes__class_Otimes
% 0.93/1.50 ( X, c_Rings_Oinverse__class_Odivide( X, U, T ),
% 0.93/1.50 c_Rings_Oinverse__class_Odivide( X, Z, Y ) ) =
% 0.93/1.50 c_Rings_Oinverse__class_Odivide( X, c_Groups_Otimes__class_Otimes( X, U,
% 0.93/1.50 Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.93/1.50 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), !
% 0.93/1.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ) =
% 0.93/1.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ), Z = Y }.
% 0.93/1.50 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! Z = Y,
% 0.93/1.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, X ) =
% 0.93/1.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) }.
% 0.93/1.50 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), !
% 0.93/1.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ) =
% 0.93/1.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ), Z = Y }.
% 0.93/1.50 { X = c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), ! Z = Y,
% 0.93/1.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Z ) =
% 0.93/1.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__idom( X ), c_Groups_Oabs__class_Oabs( X,
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, c_Groups_Oabs__class_Oabs( X, Z ),
% 0.93/1.50 c_Groups_Oabs__class_Oabs( X, Y ) ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__idom( X ), c_Groups_Otimes__class_Otimes( X,
% 0.93/1.50 c_Groups_Oabs__class_Oabs( X, Y ), c_Groups_Oabs__class_Oabs( X, Y ) ) =
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, Y, Y ) }.
% 0.93/1.50 { ! class_RealVector_Oreal__normed__algebra( X ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.50 c_RealVector_Onorm__class_Onorm( X, Z ), Y ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.50 c_RealVector_Onorm__class_Onorm( X, U ), T ),
% 0.93/1.50 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.50 c_RealVector_Onorm__class_Onorm( X, c_Groups_Otimes__class_Otimes( X, Z,
% 0.93/1.50 U ) ), c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, T ) ) }.
% 0.93/1.50 { ! class_Lattices_Oab__semigroup__idem__mult( X ),
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, Z, c_Groups_Otimes__class_Otimes( X, Z
% 0.93/1.50 , Y ) ) = c_Groups_Otimes__class_Otimes( X, Z, Y ) }.
% 0.93/1.50 { ! class_Lattices_Oab__semigroup__idem__mult( X ),
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, Y, Y ) = Y }.
% 0.93/1.50 { ! class_Lattices_Oab__semigroup__idem__mult( X ),
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, Y, Y ) = Y }.
% 0.93/1.50 { ! class_Groups_Oab__semigroup__mult( X ), c_Groups_Otimes__class_Otimes(
% 0.93/1.50 X, c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) =
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Otimes__class_Otimes( X, Z
% 0.93/1.50 , Y ) ) }.
% 0.93/1.50 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( X, T ), c_Groups_Otimes__class_Otimes(
% 0.93/1.50 X, c_Int_Onumber__class_Onumber__of( X, Z ), Y ) ) =
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X,
% 0.93/1.50 c_Groups_Otimes__class_Otimes( tc_Int_Oint, T, Z ) ), Y ) }.
% 0.93/1.50 { ! class_Int_Onumber__ring( X ), c_Groups_Otimes__class_Otimes( X,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( X, Z ),
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( X, Y ) ) =
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( X, c_Groups_Otimes__class_Otimes(
% 0.93/1.50 tc_Int_Oint, Z, Y ) ) }.
% 0.93/1.50 { ! class_Int_Onumber__ring( X ), c_Int_Onumber__class_Onumber__of( X,
% 0.93/1.50 c_Groups_Otimes__class_Otimes( tc_Int_Oint, Z, Y ) ) =
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, c_Int_Onumber__class_Onumber__of( X, Z
% 0.93/1.50 ), c_Int_Onumber__class_Onumber__of( X, Y ) ) }.
% 0.93/1.50 { ! class_RealVector_Oreal__normed__div__algebra( X ),
% 0.93/1.50 c_RealVector_Onorm__class_Onorm( X, c_Groups_Otimes__class_Otimes( X, Z,
% 0.93/1.50 Y ) ) = c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.93/1.50 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.93/1.50 ( X, Y ) ) }.
% 0.93/1.50 { c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z, Y ), X ) =
% 0.93/1.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Z,
% 0.93/1.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) ) }.
% 0.93/1.50 { c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ) =
% 0.93/1.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, X, Y ) }.
% 0.93/1.50 { ! class_Rings_Ocomm__semiring__0( X ), hAPP( c_Polynomial_Opoly( X,
% 0.93/1.50 c_Groups_Otimes__class_Otimes( tc_Polynomial_Opoly( X ), T, Z ) ), Y ) =
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, hAPP( c_Polynomial_Opoly( X, T ), Y ),
% 0.93/1.50 hAPP( c_Polynomial_Opoly( X, Z ), Y ) ) }.
% 0.93/1.50 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( tc_RealDef_Oreal,
% 0.93/1.50 c_RealVector_Onorm__class_Onorm( X, c_Groups_Otimes__class_Otimes( X, Z,
% 0.93/1.50 Y ) ), c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.93/1.50 c_RealVector_Onorm__class_Onorm( X, Z ), c_RealVector_Onorm__class_Onorm
% 0.93/1.50 ( X, Y ) ) ) }.
% 0.93/1.50 { ! class_Rings_Omult__zero( X ), c_Groups_Otimes__class_Otimes( X,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.93/1.50 }.
% 0.93/1.50 { ! class_Rings_Omult__zero( X ), c_Groups_Otimes__class_Otimes( X, Y,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( X ) ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.50 { ! class_Rings_Oring__no__zero__divisors( X ), !
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, Z, Y ) = c_Groups_Ozero__class_Ozero( X
% 0.93/1.50 ), Z = c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero
% 0.93/1.50 ( X ) }.
% 0.93/1.50 { ! class_Rings_Oring__no__zero__divisors( X ), ! Z =
% 0.93/1.50 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.93/1.50 ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.50 { ! class_Rings_Oring__no__zero__divisors( X ), ! Y =
% 0.93/1.50 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Z, Y
% 0.93/1.50 ) = c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.50 { ! class_Rings_Ono__zero__divisors( X ), Y = c_Groups_Ozero__class_Ozero(
% 0.93/1.50 X ), Z = c_Groups_Ozero__class_Ozero( X ), !
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, Y, Z ) = c_Groups_Ozero__class_Ozero( X
% 0.93/1.50 ) }.
% 0.93/1.50 { ! class_Rings_Ono__zero__divisors( X ), ! c_Groups_Otimes__class_Otimes(
% 0.93/1.50 X, Z, Y ) = c_Groups_Ozero__class_Ozero( X ), Z =
% 0.93/1.50 c_Groups_Ozero__class_Ozero( X ), Y = c_Groups_Ozero__class_Ozero( X ) }
% 0.93/1.50 .
% 0.93/1.50 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, c_Groups_Ozero__class_Ozero( X ), Y ) =
% 0.93/1.50 c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.50 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, c_Groups_Ozero__class_Ozero( X ), Y ) =
% 0.93/1.50 c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.50 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, Y, c_Groups_Ozero__class_Ozero( X ) ) =
% 0.93/1.50 c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.50 { ! class_RealVector_Oreal__normed__algebra( X ),
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, Y, c_Groups_Ozero__class_Ozero( X ) ) =
% 0.93/1.50 c_Groups_Ozero__class_Ozero( X ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__ring( X ), ! c_Orderings_Oord__class_Oless( X
% 0.93/1.50 , c_Groups_Otimes__class_Otimes( X, Y, Y ), c_Groups_Ozero__class_Ozero(
% 0.93/1.50 X ) ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.93/1.50 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ), alpha16( X, Y, Z, T ),
% 0.93/1.50 alpha31( X, Y, Z, T ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha16( X, Y, Z, T ),
% 0.93/1.50 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.93/1.50 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha31( X, Y, Z, T ),
% 0.93/1.50 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.93/1.50 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.93/1.50 { ! alpha31( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, Z,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.93/1.50 { ! alpha31( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, Y, T ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.93/1.50 , ! c_Orderings_Oord__class_Oless( X, Y, T ), alpha31( X, Y, Z, T ) }.
% 0.93/1.50 { ! alpha16( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.93/1.50 { ! alpha16( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, T, Y ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.93/1.50 , ! c_Orderings_Oord__class_Oless( X, T, Y ), alpha16( X, Y, Z, T ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.93/1.50 ), c_Groups_Otimes__class_Otimes( X, T, Y ) ), alpha17( X, Y, Z, T ),
% 0.93/1.50 alpha32( X, Y, Z, T ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha17( X, Y, Z, T ),
% 0.93/1.50 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.93/1.50 ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha32( X, Y, Z, T ),
% 0.93/1.50 c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.93/1.50 ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.93/1.50 { ! alpha32( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, T,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.93/1.50 { ! alpha32( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, Y, Z ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( X, T, c_Groups_Ozero__class_Ozero( X ) )
% 0.93/1.50 , ! c_Orderings_Oord__class_Oless( X, Y, Z ), alpha32( X, Y, Z, T ) }.
% 0.93/1.50 { ! alpha17( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( X ), T ) }.
% 0.93/1.50 { ! alpha17( X, Y, Z, T ), c_Orderings_Oord__class_Oless( X, Z, Y ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), T )
% 0.93/1.50 , ! c_Orderings_Oord__class_Oless( X, Z, Y ), alpha17( X, Y, Z, T ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.93/1.50 ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.93/1.50 T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 0.93/1.50 c_Orderings_Oord__class_Oless( X, T, Z ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.93/1.50 ! c_Orderings_Oord__class_Oless( X, T, Z ), c_Orderings_Oord__class_Oless
% 0.93/1.50 ( X, c_Groups_Otimes__class_Otimes( X, Y, T ),
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.93/1.50 ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.93/1.50 , c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.93/1.50 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.93/1.50 , c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.93/1.50 Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.93/1.50 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.93/1.50 , c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Z,
% 0.93/1.50 Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, Z, Y ) ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ),
% 0.93/1.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ) }
% 0.93/1.50 .
% 0.93/1.50 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, Z, Y ) ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Y ),
% 0.93/1.50 c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z ) }
% 0.93/1.50 .
% 0.93/1.50 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.93/1.50 ! c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.93/1.50 T ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ),
% 0.93/1.50 c_Orderings_Oord__class_Oless( X, Z, T ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.93/1.50 ! c_Orderings_Oord__class_Oless( X, Z, T ), c_Orderings_Oord__class_Oless
% 0.93/1.50 ( X, c_Groups_Otimes__class_Otimes( X, Y, T ),
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.93/1.50 ! c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ), Z )
% 0.93/1.50 , c_Orderings_Oord__class_Oless( X, c_Groups_Otimes__class_Otimes( X, Y,
% 0.93/1.50 Z ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless( X, Y, c_Groups_Ozero__class_Ozero( X ) ),
% 0.93/1.50 ! c_Orderings_Oord__class_Oless( X, Z, c_Groups_Ozero__class_Ozero( X ) )
% 0.93/1.50 , c_Orderings_Oord__class_Oless( X, c_Groups_Ozero__class_Ozero( X ),
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.93/1.50 ( X, c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless
% 0.93/1.50 ( X, c_Groups_Otimes__class_Otimes( X, Z, T ),
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__semiring__strict( X ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.93/1.50 ( X, c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless
% 0.93/1.50 ( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__comm__semiring__strict( X ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.93/1.50 ( X, c_Groups_Ozero__class_Ozero( X ), T ), c_Orderings_Oord__class_Oless
% 0.93/1.50 ( X, c_Groups_Otimes__class_Otimes( X, T, Z ),
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.93/1.50 ( X, T, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 0.93/1.50 ( X, c_Groups_Otimes__class_Otimes( X, Y, T ),
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, Z, T ) ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless( X, Z, Y ), ! c_Orderings_Oord__class_Oless
% 0.93/1.50 ( X, T, c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless
% 0.93/1.50 ( X, c_Groups_Otimes__class_Otimes( X, T, Y ),
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, T, Z ) ) }.
% 0.93/1.50 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.93/1.50 ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.93/1.50 , c_Groups_Otimes__class_Otimes( X, Z, Y ), c_Groups_Ozero__class_Ozero(
% 0.93/1.50 X ) ) }.
% 0.93/1.50 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X )
% 0.93/1.50 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.93/1.50 X ), Y ), c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, Z, Y ), c_Groups_Ozero__class_Ozero( X
% 0.93/1.50 ) ) }.
% 0.93/1.50 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.93/1.50 , c_Groups_Ozero__class_Ozero( X ), Z ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.93/1.50 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.93/1.50 ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.93/1.50 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.93/1.50 , Z, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.93/1.50 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.93/1.50 ), c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.93/1.50 { ! class_Rings_Oordered__semiring( X ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( X, U, T ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.93/1.50 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.93/1.50 X ), U ), c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, Z, U ), c_Groups_Otimes__class_Otimes(
% 0.93/1.50 X, Y, T ) ) }.
% 0.93/1.50 { ! class_Rings_Oordered__semiring( X ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( X, U, T ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Z
% 0.93/1.50 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.93/1.50 X ), U ), c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, Z, U ), c_Groups_Otimes__class_Otimes(
% 0.93/1.50 X, Y, T ) ) }.
% 0.93/1.50 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.93/1.50 , Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, T,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.93/1.50 , c_Groups_Otimes__class_Otimes( X, T, Y ), c_Groups_Otimes__class_Otimes
% 0.93/1.50 ( X, T, Z ) ) }.
% 0.93/1.50 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.93/1.50 , Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, T,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.93/1.50 , c_Groups_Otimes__class_Otimes( X, Y, T ), c_Groups_Otimes__class_Otimes
% 0.93/1.50 ( X, Z, T ) ) }.
% 0.93/1.50 { ! class_Rings_Oordered__comm__semiring( X ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.93/1.50 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes(
% 0.93/1.50 X, T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.93/1.50 { ! class_Rings_Oordered__semiring( X ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.93/1.50 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes(
% 0.93/1.50 X, T, Z ), c_Groups_Otimes__class_Otimes( X, T, Y ) ) }.
% 0.93/1.50 { ! class_Rings_Oordered__semiring( X ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), T
% 0.93/1.50 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes(
% 0.93/1.50 X, Z, T ), c_Groups_Otimes__class_Otimes( X, Y, T ) ) }.
% 0.93/1.50 { ! class_Rings_Oordered__ring( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.93/1.50 , Y, c_Groups_Ozero__class_Ozero( X ) ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X )
% 0.93/1.50 ), c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X
% 0.93/1.50 ), c_Groups_Otimes__class_Otimes( X, Y, Z ) ) }.
% 0.93/1.50 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( X, Y, c_Groups_Ozero__class_Ozero( X )
% 0.93/1.50 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.93/1.50 X ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, Y, Z ), c_Groups_Ozero__class_Ozero( X
% 0.93/1.50 ) ) }.
% 0.93/1.50 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.93/1.50 ), ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.93/1.50 , c_Groups_Otimes__class_Otimes( X, Z, Y ), c_Groups_Ozero__class_Ozero(
% 0.93/1.50 X ) ) }.
% 0.93/1.50 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.93/1.50 ), ! c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( X ) ), c_Orderings_Oord__class_Oless__eq( X
% 0.93/1.50 , c_Groups_Otimes__class_Otimes( X, Y, Z ), c_Groups_Ozero__class_Ozero(
% 0.93/1.50 X ) ) }.
% 0.93/1.50 { ! class_Rings_Oordered__cancel__semiring( X ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ), Y
% 0.93/1.50 ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero(
% 0.93/1.50 X ), Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Y, Z
% 0.93/1.50 ) ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.93/1.50 , Y ), c_Groups_Ozero__class_Ozero( X ) ), alpha18( X, Y, Z ), alpha33( X
% 0.93/1.50 , Y, Z ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha18( X, Y, Z ),
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.93/1.50 , Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha33( X, Y, Z ),
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Otimes__class_Otimes( X, Z
% 0.93/1.50 , Y ), c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.93/1.50 { ! alpha33( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.93/1.50 { ! alpha33( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.93/1.50 ) ), ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero
% 0.93/1.50 ( X ), Y ), alpha33( X, Y, Z ) }.
% 0.93/1.50 { ! alpha18( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.93/1.50 { ! alpha18( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.93/1.50 , Z ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( X ) ), alpha18( X, Y, Z ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__ring__strict( X ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, Z, Y ) ), alpha19( X, Y, Z ), alpha34(
% 0.93/1.50 X, Y, Z ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha19( X, Y, Z ),
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__ring__strict( X ), ! alpha34( X, Y, Z ),
% 0.93/1.50 c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X ),
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, Z, Y ) ) }.
% 0.93/1.50 { ! alpha34( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.93/1.50 { ! alpha34( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( X ) ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless__eq( X, Z, c_Groups_Ozero__class_Ozero( X
% 0.93/1.50 ) ), ! c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( X ) ), alpha34( X, Y, Z ) }.
% 0.93/1.50 { ! alpha19( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( X ), Z ) }.
% 0.93/1.50 { ! alpha19( X, Y, Z ), c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( X ), Y ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless__eq( X, c_Groups_Ozero__class_Ozero( X )
% 0.93/1.50 , Z ), ! c_Orderings_Oord__class_Oless__eq( X,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( X ), Y ), alpha19( X, Y, Z ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__ring( X ), c_Orderings_Oord__class_Oless__eq(
% 0.93/1.50 X, c_Groups_Ozero__class_Ozero( X ), c_Groups_Otimes__class_Otimes( X, Y
% 0.93/1.50 , Y ) ) }.
% 0.93/1.50 { c_NthRoot_Osqrt( c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X )
% 0.93/1.50 ) = c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, c_NthRoot_Osqrt( Y
% 0.93/1.50 ), c_NthRoot_Osqrt( X ) ) }.
% 0.93/1.50 { c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, X ),
% 0.93/1.50 c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal, Y, Y ) ) =
% 0.93/1.50 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal, X, Y ) }.
% 0.93/1.50 { c_Groups_Otimes__class_Otimes( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Oone__class_Oone( tc_RealDef_Oreal ), X ) = X }.
% 0.93/1.50 { ! class_Groups_Ocomm__monoid__mult( X ), c_Groups_Otimes__class_Otimes( X
% 0.93/1.50 , Y, c_Groups_Oone__class_Oone( X ) ) = Y }.
% 0.93/1.50 { ! class_Groups_Omonoid__mult( X ), c_Groups_Otimes__class_Otimes( X, Y,
% 0.93/1.50 c_Groups_Oone__class_Oone( X ) ) = Y }.
% 0.93/1.50 { ! class_Groups_Ocomm__monoid__mult( X ), c_Groups_Otimes__class_Otimes( X
% 0.93/1.50 , c_Groups_Oone__class_Oone( X ), Y ) = Y }.
% 0.93/1.50 { ! class_Groups_Omonoid__mult( X ), c_Groups_Otimes__class_Otimes( X,
% 0.93/1.50 c_Groups_Oone__class_Oone( X ), Y ) = Y }.
% 0.93/1.50 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.93/1.50 c_Groups_Oone__class_Oone( X ), Y ) = Y }.
% 0.93/1.50 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.93/1.50 Y, c_Groups_Oone__class_Oone( X ) ) = Y }.
% 0.93/1.50 { ! class_Rings_Ocomm__semiring__1( X ), c_Power_Opower__class_Opower( X,
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) =
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, c_Power_Opower__class_Opower( X, T, Y )
% 0.93/1.50 , c_Power_Opower__class_Opower( X, Z, Y ) ) }.
% 0.93/1.50 { ! class_Rings_Ocomm__semiring__1( X ), c_Power_Opower__class_Opower( X, Z
% 0.93/1.50 , c_Nat_OSuc( Y ) ) = c_Groups_Otimes__class_Otimes( X, Z,
% 0.93/1.50 c_Power_Opower__class_Opower( X, Z, Y ) ) }.
% 0.93/1.50 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.93/1.50 Z, c_Power_Opower__class_Opower( X, Z, Y ) ) =
% 0.93/1.50 c_Power_Opower__class_Opower( X, Z, c_Nat_OSuc( Y ) ) }.
% 0.93/1.50 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.93/1.50 c_Power_Opower__class_Opower( X, Z, Y ), Z ) =
% 0.93/1.50 c_Power_Opower__class_Opower( X, Z, c_Nat_OSuc( Y ) ) }.
% 0.93/1.50 { ! class_Rings_Ocomm__semiring__1( X ), c_Power_Opower__class_Opower( X, Z
% 0.93/1.50 , c_Groups_Otimes__class_Otimes( tc_Nat_Onat,
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_Nat_Onat, c_Int_OBit0( c_Int_OBit1(
% 0.93/1.50 c_Int_OPls ) ) ), Y ) ) = c_Groups_Otimes__class_Otimes( X,
% 0.93/1.50 c_Power_Opower__class_Opower( X, Z, Y ), c_Power_Opower__class_Opower( X
% 0.93/1.50 , Z, Y ) ) }.
% 0.93/1.50 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( X ), Y ) = c_Groups_Ozero__class_Ozero( X )
% 0.93/1.50 }.
% 0.93/1.50 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.93/1.50 Y, c_Groups_Ozero__class_Ozero( X ) ) = c_Groups_Ozero__class_Ozero( X )
% 0.93/1.50 }.
% 0.93/1.50 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.93/1.50 X, Z, Y ) ) = c_Groups_Otimes__class_Otimes( X,
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, U, Z ), c_Groups_Otimes__class_Otimes(
% 0.93/1.50 X, T, Y ) ) }.
% 0.93/1.50 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.93/1.50 X, Z, Y ) ) = c_Groups_Otimes__class_Otimes( X, Z,
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X, U, T
% 0.93/1.50 ), Y ) ) }.
% 0.93/1.50 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, U, T ), c_Groups_Otimes__class_Otimes(
% 0.93/1.50 X, Z, Y ) ) = c_Groups_Otimes__class_Otimes( X, U,
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Otimes__class_Otimes( X, Z
% 0.93/1.50 , Y ) ) ) }.
% 0.93/1.50 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) =
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X, T, Y
% 0.93/1.50 ), Z ) }.
% 0.93/1.50 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, T, Z ), Y ) =
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, T, c_Groups_Otimes__class_Otimes( X, Z
% 0.93/1.50 , Y ) ) }.
% 0.93/1.50 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.93/1.50 T, c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, c_Groups_Otimes__class_Otimes( X, T, Z
% 0.93/1.50 ), Y ) }.
% 0.93/1.50 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.93/1.50 T, c_Groups_Otimes__class_Otimes( X, Z, Y ) ) =
% 0.93/1.50 c_Groups_Otimes__class_Otimes( X, Z, c_Groups_Otimes__class_Otimes( X, T
% 0.93/1.50 , Y ) ) }.
% 0.93/1.50 { ! class_Rings_Ocomm__semiring__1( X ), c_Groups_Otimes__class_Otimes( X,
% 0.93/1.50 Z, Y ) = c_Groups_Otimes__class_Otimes( X, Y, Z ) }.
% 0.93/1.50 { ! class_Groups_Omonoid__mult( X ), c_Power_Opower__class_Opower( X, Z,
% 0.93/1.50 c_Nat_OSuc( Y ) ) = c_Groups_Otimes__class_Otimes( X,
% 0.93/1.50 c_Power_Opower__class_Opower( X, Z, Y ), Z ) }.
% 0.93/1.50 { ! class_Power_Opower( X ), c_Power_Opower__class_Opower( X, Z, c_Nat_OSuc
% 0.93/1.50 ( Y ) ) = c_Groups_Otimes__class_Otimes( X, Z,
% 0.93/1.50 c_Power_Opower__class_Opower( X, Z, Y ) ) }.
% 0.93/1.50 { ! class_Rings_Ocomm__ring__1( X ), c_Groups_Ouminus__class_Ouminus( X, Y
% 0.93/1.50 ) = c_Groups_Otimes__class_Otimes( X, c_Groups_Ouminus__class_Ouminus( X
% 0.93/1.50 , c_Groups_Oone__class_Oone( X ) ), Y ) }.
% 0.93/1.50 { ! class_Groups_Ocancel__comm__monoid__add( X ),
% 0.93/1.50 class_Groups_Ocancel__comm__monoid__add( tc_Polynomial_Opoly( X ) ) }.
% 0.93/1.50 { class_Groups_Ocancel__comm__monoid__add( tc_Complex_Ocomplex ) }.
% 0.93/1.50 { class_Groups_Ocancel__comm__monoid__add( tc_RealDef_Oreal ) }.
% 0.93/1.50 { class_Groups_Ocancel__comm__monoid__add( tc_Nat_Onat ) }.
% 0.93/1.50 { class_Groups_Ocancel__comm__monoid__add( tc_Int_Oint ) }.
% 0.93/1.50 { ! class_Lattices_Oboolean__algebra( X ), class_Lattices_Oboolean__algebra
% 0.93/1.50 ( tc_fun( Y, X ) ) }.
% 0.93/1.50 { ! class_Orderings_Opreorder( X ), class_Orderings_Opreorder( tc_fun( Y, X
% 0.93/1.50 ) ) }.
% 0.93/1.50 { ! class_Orderings_Oorder( X ), class_Orderings_Oorder( tc_fun( Y, X ) ) }
% 0.93/1.50 .
% 0.93/1.50 { ! class_Orderings_Oord( X ), class_Orderings_Oord( tc_fun( Y, X ) ) }.
% 0.93/1.50 { ! class_Groups_Ouminus( X ), class_Groups_Ouminus( tc_fun( Y, X ) ) }.
% 0.93/1.50 { ! class_Groups_Ominus( X ), class_Groups_Ominus( tc_fun( Y, X ) ) }.
% 0.93/1.50 { class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(
% 0.93/1.50 tc_Int_Oint ) }.
% 0.93/1.50 { class_Groups_Oordered__cancel__ab__semigroup__add( tc_Int_Oint ) }.
% 0.93/1.50 { class_Groups_Oordered__ab__semigroup__add__imp__le( tc_Int_Oint ) }.
% 0.93/1.50 { class_Rings_Olinordered__comm__semiring__strict( tc_Int_Oint ) }.
% 0.93/1.50 { class_Rings_Olinordered__semiring__strict( tc_Int_Oint ) }.
% 0.93/1.50 { class_Groups_Oordered__ab__semigroup__add( tc_Int_Oint ) }.
% 0.93/1.50 { class_Groups_Oordered__ab__group__add__abs( tc_Int_Oint ) }.
% 0.93/1.50 { class_Groups_Oordered__comm__monoid__add( tc_Int_Oint ) }.
% 0.93/1.50 { class_Groups_Olinordered__ab__group__add( tc_Int_Oint ) }.
% 0.93/1.50 { class_Groups_Ocancel__ab__semigroup__add( tc_Int_Oint ) }.
% 0.93/1.50 { class_Rings_Oring__1__no__zero__divisors( tc_Int_Oint ) }.
% 0.93/1.50 { class_Rings_Oordered__cancel__semiring( tc_Int_Oint ) }.
% 0.93/1.50 { class_Rings_Olinordered__ring__strict( tc_Int_Oint ) }.
% 0.93/1.50 { class_Rings_Oring__no__zero__divisors( tc_Int_Oint ) }.
% 0.93/1.50 { class_Rings_Oordered__comm__semiring( tc_Int_Oint ) }.
% 0.93/1.50 { class_Groups_Oordered__ab__group__add( tc_Int_Oint ) }.
% 0.93/1.50 { class_Groups_Ocancel__semigroup__add( tc_Int_Oint ) }.
% 0.93/1.50 { class_Rings_Olinordered__semidom( tc_Int_Oint ) }.
% 0.93/1.50 { class_Groups_Oab__semigroup__mult( tc_Int_Oint ) }.
% 0.93/1.50 { class_Groups_Ocomm__monoid__mult( tc_Int_Oint ) }.
% 0.93/1.50 { class_Groups_Oab__semigroup__add( tc_Int_Oint ) }.
% 0.93/1.50 { class_Rings_Oordered__semiring( tc_Int_Oint ) }.
% 0.93/1.50 { class_Rings_Ono__zero__divisors( tc_Int_Oint ) }.
% 0.93/1.50 { class_Groups_Ocomm__monoid__add( tc_Int_Oint ) }.
% 0.93/1.50 { class_Rings_Olinordered__ring( tc_Int_Oint ) }.
% 0.93/1.50 { class_Rings_Olinordered__idom( tc_Int_Oint ) }.
% 0.93/1.50 { class_Rings_Ocomm__semiring__1( tc_Int_Oint ) }.
% 0.93/1.50 { class_Rings_Ocomm__semiring__0( tc_Int_Oint ) }.
% 0.93/1.50 { class_Rings_Ocomm__semiring( tc_Int_Oint ) }.
% 0.93/1.50 { class_Groups_Oab__group__add( tc_Int_Oint ) }.
% 0.93/1.50 { class_Rings_Ozero__neq__one( tc_Int_Oint ) }.
% 0.93/1.50 { class_Rings_Oordered__ring( tc_Int_Oint ) }.
% 0.93/1.50 { class_Orderings_Opreorder( tc_Int_Oint ) }.
% 0.93/1.50 { class_Orderings_Olinorder( tc_Int_Oint ) }.
% 0.93/1.50 { class_Groups_Omonoid__mult( tc_Int_Oint ) }.
% 0.93/1.50 { class_Rings_Ocomm__ring__1( tc_Int_Oint ) }.
% 0.93/1.50 { class_Groups_Omonoid__add( tc_Int_Oint ) }.
% 0.93/1.50 { class_Rings_Osemiring__1( tc_Int_Oint ) }.
% 0.93/1.50 { class_Rings_Osemiring__0( tc_Int_Oint ) }.
% 0.93/1.50 { class_Groups_Ogroup__add( tc_Int_Oint ) }.
% 0.93/1.50 { class_Rings_Omult__zero( tc_Int_Oint ) }.
% 0.93/1.50 { class_Rings_Ocomm__ring( tc_Int_Oint ) }.
% 0.93/1.50 { class_Orderings_Oorder( tc_Int_Oint ) }.
% 0.93/1.50 { class_Int_Oring__char__0( tc_Int_Oint ) }.
% 0.93/1.50 { class_Int_Onumber__ring( tc_Int_Oint ) }.
% 0.93/1.50 { class_Rings_Osemiring( tc_Int_Oint ) }.
% 0.93/1.50 { class_Orderings_Oord( tc_Int_Oint ) }.
% 0.93/1.50 { class_Groups_Ouminus( tc_Int_Oint ) }.
% 0.93/1.50 { class_Groups_Oabs__if( tc_Int_Oint ) }.
% 0.93/1.50 { class_Rings_Oring__1( tc_Int_Oint ) }.
% 0.93/1.50 { class_Groups_Ominus( tc_Int_Oint ) }.
% 0.93/1.50 { class_Power_Opower( tc_Int_Oint ) }.
% 0.93/1.50 { class_Groups_Ozero( tc_Int_Oint ) }.
% 0.93/1.50 { class_Rings_Oring( tc_Int_Oint ) }.
% 0.93/1.50 { class_Rings_Oidom( tc_Int_Oint ) }.
% 0.93/1.50 { class_Int_Onumber( tc_Int_Oint ) }.
% 0.93/1.50 { class_Groups_Oone( tc_Int_Oint ) }.
% 0.93/1.50 { class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(
% 0.93/1.50 tc_Nat_Onat ) }.
% 0.93/1.50 { class_Groups_Oordered__cancel__ab__semigroup__add( tc_Nat_Onat ) }.
% 0.93/1.50 { class_Groups_Oordered__ab__semigroup__add__imp__le( tc_Nat_Onat ) }.
% 0.93/1.50 { class_Rings_Olinordered__comm__semiring__strict( tc_Nat_Onat ) }.
% 0.93/1.50 { class_Rings_Olinordered__semiring__strict( tc_Nat_Onat ) }.
% 0.93/1.50 { class_Groups_Oordered__ab__semigroup__add( tc_Nat_Onat ) }.
% 0.93/1.50 { class_Groups_Oordered__comm__monoid__add( tc_Nat_Onat ) }.
% 0.93/1.50 { class_Groups_Ocancel__ab__semigroup__add( tc_Nat_Onat ) }.
% 0.93/1.50 { class_Rings_Oordered__cancel__semiring( tc_Nat_Onat ) }.
% 0.93/1.50 { class_Rings_Oordered__comm__semiring( tc_Nat_Onat ) }.
% 0.93/1.50 { class_Groups_Ocancel__semigroup__add( tc_Nat_Onat ) }.
% 0.93/1.50 { class_Rings_Olinordered__semidom( tc_Nat_Onat ) }.
% 0.93/1.50 { class_Groups_Oab__semigroup__mult( tc_Nat_Onat ) }.
% 0.93/1.50 { class_Groups_Ocomm__monoid__mult( tc_Nat_Onat ) }.
% 0.93/1.50 { class_Groups_Oab__semigroup__add( tc_Nat_Onat ) }.
% 0.93/1.50 { class_Rings_Oordered__semiring( tc_Nat_Onat ) }.
% 0.93/1.50 { class_Rings_Ono__zero__divisors( tc_Nat_Onat ) }.
% 0.93/1.50 { class_Groups_Ocomm__monoid__add( tc_Nat_Onat ) }.
% 0.93/1.50 { class_Rings_Ocomm__semiring__1( tc_Nat_Onat ) }.
% 0.93/1.50 { class_Rings_Ocomm__semiring__0( tc_Nat_Onat ) }.
% 0.93/1.50 { class_Rings_Ocomm__semiring( tc_Nat_Onat ) }.
% 0.93/1.50 { class_Rings_Ozero__neq__one( tc_Nat_Onat ) }.
% 0.93/1.50 { class_Orderings_Opreorder( tc_Nat_Onat ) }.
% 0.93/1.50 { class_Orderings_Olinorder( tc_Nat_Onat ) }.
% 0.93/1.50 { class_Groups_Omonoid__mult( tc_Nat_Onat ) }.
% 0.93/1.50 { class_Groups_Omonoid__add( tc_Nat_Onat ) }.
% 0.93/1.50 { class_Rings_Osemiring__1( tc_Nat_Onat ) }.
% 0.93/1.50 { class_Rings_Osemiring__0( tc_Nat_Onat ) }.
% 0.93/1.50 { class_Rings_Omult__zero( tc_Nat_Onat ) }.
% 0.93/1.50 { class_Orderings_Oorder( tc_Nat_Onat ) }.
% 0.93/1.50 { class_Rings_Osemiring( tc_Nat_Onat ) }.
% 0.93/1.50 { class_Orderings_Oord( tc_Nat_Onat ) }.
% 0.93/1.50 { class_Groups_Ominus( tc_Nat_Onat ) }.
% 0.93/1.50 { class_Power_Opower( tc_Nat_Onat ) }.
% 0.93/1.50 { class_Groups_Ozero( tc_Nat_Onat ) }.
% 0.93/1.50 { class_Int_Onumber( tc_Nat_Onat ) }.
% 0.93/1.50 { class_Groups_Oone( tc_Nat_Onat ) }.
% 0.93/1.50 { class_Lattices_Oboolean__algebra( tc_HOL_Obool ) }.
% 0.93/1.50 { class_Orderings_Opreorder( tc_HOL_Obool ) }.
% 0.93/1.50 { class_Orderings_Oorder( tc_HOL_Obool ) }.
% 0.93/1.50 { class_Orderings_Oord( tc_HOL_Obool ) }.
% 0.93/1.50 { class_Groups_Ouminus( tc_HOL_Obool ) }.
% 0.93/1.50 { class_Groups_Ominus( tc_HOL_Obool ) }.
% 0.93/1.50 { class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(
% 0.93/1.50 tc_RealDef_Oreal ) }.
% 0.93/1.50 { class_Groups_Oordered__cancel__ab__semigroup__add( tc_RealDef_Oreal ) }.
% 0.93/1.50 { class_Groups_Oordered__ab__semigroup__add__imp__le( tc_RealDef_Oreal ) }
% 0.93/1.50 .
% 0.93/1.50 { class_Rings_Olinordered__comm__semiring__strict( tc_RealDef_Oreal ) }.
% 0.93/1.50 { class_Fields_Olinordered__field__inverse__zero( tc_RealDef_Oreal ) }.
% 0.93/1.50 { class_RealVector_Oreal__normed__div__algebra( tc_RealDef_Oreal ) }.
% 0.93/1.50 { class_Rings_Olinordered__semiring__strict( tc_RealDef_Oreal ) }.
% 0.93/1.50 { class_Rings_Odivision__ring__inverse__zero( tc_RealDef_Oreal ) }.
% 0.93/1.50 { class_RealVector_Oreal__normed__algebra__1( tc_RealDef_Oreal ) }.
% 0.93/1.50 { class_Groups_Oordered__ab__semigroup__add( tc_RealDef_Oreal ) }.
% 0.93/1.50 { class_Groups_Oordered__ab__group__add__abs( tc_RealDef_Oreal ) }.
% 0.93/1.50 { class_RealVector_Oreal__normed__algebra( tc_RealDef_Oreal ) }.
% 0.93/1.50 { class_Groups_Oordered__comm__monoid__add( tc_RealDef_Oreal ) }.
% 0.93/1.50 { class_Groups_Olinordered__ab__group__add( tc_RealDef_Oreal ) }.
% 0.93/1.50 { class_Groups_Ocancel__ab__semigroup__add( tc_RealDef_Oreal ) }.
% 0.93/1.50 { class_Rings_Oring__1__no__zero__divisors( tc_RealDef_Oreal ) }.
% 0.93/1.50 { class_Rings_Oordered__cancel__semiring( tc_RealDef_Oreal ) }.
% 0.93/1.50 { class_RealVector_Oreal__normed__vector( tc_RealDef_Oreal ) }.
% 0.93/1.50 { class_Rings_Olinordered__ring__strict( tc_RealDef_Oreal ) }.
% 0.93/1.50 { class_RealVector_Oreal__normed__field( tc_RealDef_Oreal ) }.
% 0.93/1.50 { class_Rings_Oring__no__zero__divisors( tc_RealDef_Oreal ) }.
% 0.93/1.50 { class_Rings_Oordered__comm__semiring( tc_RealDef_Oreal ) }.
% 0.93/1.50 { class_Groups_Oordered__ab__group__add( tc_RealDef_Oreal ) }.
% 0.93/1.50 { class_Groups_Ocancel__semigroup__add( tc_RealDef_Oreal ) }.
% 0.93/1.50 { class_Fields_Ofield__inverse__zero( tc_RealDef_Oreal ) }.
% 0.93/1.50 { class_Rings_Olinordered__semidom( tc_RealDef_Oreal ) }.
% 0.93/1.50 { class_Groups_Oab__semigroup__mult( tc_RealDef_Oreal ) }.
% 0.93/1.50 { class_Groups_Ocomm__monoid__mult( tc_RealDef_Oreal ) }.
% 0.93/1.50 { class_Groups_Oab__semigroup__add( tc_RealDef_Oreal ) }.
% 0.93/1.50 { class_Fields_Olinordered__field( tc_RealDef_Oreal ) }.
% 0.93/1.50 { class_Rings_Oordered__semiring( tc_RealDef_Oreal ) }.
% 0.93/1.50 { class_Rings_Ono__zero__divisors( tc_RealDef_Oreal ) }.
% 0.93/1.50 { class_Groups_Ocomm__monoid__add( tc_RealDef_Oreal ) }.
% 0.93/1.50 { class_Rings_Olinordered__ring( tc_RealDef_Oreal ) }.
% 0.93/1.50 { class_Rings_Olinordered__idom( tc_RealDef_Oreal ) }.
% 0.93/1.50 { class_Rings_Ocomm__semiring__1( tc_RealDef_Oreal ) }.
% 0.93/1.50 { class_Rings_Ocomm__semiring__0( tc_RealDef_Oreal ) }.
% 0.93/1.50 { class_Rings_Odivision__ring( tc_RealDef_Oreal ) }.
% 0.93/1.50 { class_Rings_Ocomm__semiring( tc_RealDef_Oreal ) }.
% 0.93/1.50 { class_Groups_Oab__group__add( tc_RealDef_Oreal ) }.
% 0.93/1.50 { class_Rings_Ozero__neq__one( tc_RealDef_Oreal ) }.
% 0.93/1.50 { class_Rings_Oordered__ring( tc_RealDef_Oreal ) }.
% 0.93/1.50 { class_Orderings_Opreorder( tc_RealDef_Oreal ) }.
% 0.93/1.50 { class_Orderings_Olinorder( tc_RealDef_Oreal ) }.
% 0.93/1.50 { class_Groups_Omonoid__mult( tc_RealDef_Oreal ) }.
% 0.93/1.50 { class_Rings_Ocomm__ring__1( tc_RealDef_Oreal ) }.
% 0.93/1.50 { class_Groups_Omonoid__add( tc_RealDef_Oreal ) }.
% 0.93/1.50 { class_Rings_Osemiring__1( tc_RealDef_Oreal ) }.
% 0.93/1.50 { class_Rings_Osemiring__0( tc_RealDef_Oreal ) }.
% 0.93/1.50 { class_Groups_Ogroup__add( tc_RealDef_Oreal ) }.
% 0.93/1.50 { class_Rings_Omult__zero( tc_RealDef_Oreal ) }.
% 0.93/1.50 { class_Rings_Ocomm__ring( tc_RealDef_Oreal ) }.
% 0.93/1.50 { class_Orderings_Oorder( tc_RealDef_Oreal ) }.
% 0.93/1.50 { class_Int_Oring__char__0( tc_RealDef_Oreal ) }.
% 0.93/1.50 { class_Int_Onumber__ring( tc_RealDef_Oreal ) }.
% 0.93/1.50 { class_Rings_Osemiring( tc_RealDef_Oreal ) }.
% 0.93/1.50 { class_Orderings_Oord( tc_RealDef_Oreal ) }.
% 0.93/1.50 { class_Groups_Ouminus( tc_RealDef_Oreal ) }.
% 0.93/1.50 { class_Groups_Oabs__if( tc_RealDef_Oreal ) }.
% 0.93/1.50 { class_Rings_Oring__1( tc_RealDef_Oreal ) }.
% 0.93/1.50 { class_Groups_Ominus( tc_RealDef_Oreal ) }.
% 0.93/1.50 { class_Fields_Ofield( tc_RealDef_Oreal ) }.
% 0.93/1.50 { class_Power_Opower( tc_RealDef_Oreal ) }.
% 0.93/1.50 { class_Groups_Ozero( tc_RealDef_Oreal ) }.
% 0.93/1.50 { class_Rings_Oring( tc_RealDef_Oreal ) }.
% 0.93/1.50 { class_Rings_Oidom( tc_RealDef_Oreal ) }.
% 0.93/1.50 { class_Int_Onumber( tc_RealDef_Oreal ) }.
% 0.93/1.50 { class_Groups_Oone( tc_RealDef_Oreal ) }.
% 0.93/1.50 { class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(
% 0.93/1.50 tc_Complex_Ocomplex ) }.
% 0.93/1.50 { class_RealVector_Oreal__normed__div__algebra( tc_Complex_Ocomplex ) }.
% 0.93/1.50 { class_Rings_Odivision__ring__inverse__zero( tc_Complex_Ocomplex ) }.
% 0.93/1.50 { class_RealVector_Oreal__normed__algebra__1( tc_Complex_Ocomplex ) }.
% 0.93/1.50 { class_RealVector_Oreal__normed__algebra( tc_Complex_Ocomplex ) }.
% 0.93/1.50 { class_Groups_Ocancel__ab__semigroup__add( tc_Complex_Ocomplex ) }.
% 0.93/1.50 { class_Rings_Oring__1__no__zero__divisors( tc_Complex_Ocomplex ) }.
% 0.93/1.50 { class_RealVector_Oreal__normed__vector( tc_Complex_Ocomplex ) }.
% 0.93/1.50 { class_RealVector_Oreal__normed__field( tc_Complex_Ocomplex ) }.
% 0.93/1.50 { class_Rings_Oring__no__zero__divisors( tc_Complex_Ocomplex ) }.
% 0.93/1.50 { class_Groups_Ocancel__semigroup__add( tc_Complex_Ocomplex ) }.
% 0.93/1.50 { class_Fields_Ofield__inverse__zero( tc_Complex_Ocomplex ) }.
% 0.93/1.50 { class_Groups_Oab__semigroup__mult( tc_Complex_Ocomplex ) }.
% 0.93/1.50 { class_Groups_Ocomm__monoid__mult( tc_Complex_Ocomplex ) }.
% 0.93/1.50 { class_Groups_Oab__semigroup__add( tc_Complex_Ocomplex ) }.
% 0.93/1.50 { class_Rings_Ono__zero__divisors( tc_Complex_Ocomplex ) }.
% 0.93/1.50 { class_Groups_Ocomm__monoid__add( tc_Complex_Ocomplex ) }.
% 0.93/1.50 { class_Rings_Ocomm__semiring__1( tc_Complex_Ocomplex ) }.
% 0.93/1.50 { class_Rings_Ocomm__semiring__0( tc_Complex_Ocomplex ) }.
% 0.93/1.50 { class_Rings_Odivision__ring( tc_Complex_Ocomplex ) }.
% 0.93/1.50 { class_Rings_Ocomm__semiring( tc_Complex_Ocomplex ) }.
% 0.93/1.50 { class_Groups_Oab__group__add( tc_Complex_Ocomplex ) }.
% 0.93/1.50 { class_Rings_Ozero__neq__one( tc_Complex_Ocomplex ) }.
% 0.93/1.50 { class_Groups_Omonoid__mult( tc_Complex_Ocomplex ) }.
% 0.93/1.50 { class_Rings_Ocomm__ring__1( tc_Complex_Ocomplex ) }.
% 0.93/1.50 { class_Groups_Omonoid__add( tc_Complex_Ocomplex ) }.
% 0.93/1.50 { class_Rings_Osemiring__1( tc_Complex_Ocomplex ) }.
% 0.93/1.50 { class_Rings_Osemiring__0( tc_Complex_Ocomplex ) }.
% 0.93/1.50 { class_Groups_Ogroup__add( tc_Complex_Ocomplex ) }.
% 0.93/1.50 { class_Rings_Omult__zero( tc_Complex_Ocomplex ) }.
% 0.93/1.50 { class_Rings_Ocomm__ring( tc_Complex_Ocomplex ) }.
% 0.93/1.50 { class_Int_Oring__char__0( tc_Complex_Ocomplex ) }.
% 0.93/1.50 { class_Int_Onumber__ring( tc_Complex_Ocomplex ) }.
% 0.93/1.50 { class_Rings_Osemiring( tc_Complex_Ocomplex ) }.
% 0.93/1.50 { class_Groups_Ouminus( tc_Complex_Ocomplex ) }.
% 0.93/1.50 { class_Rings_Oring__1( tc_Complex_Ocomplex ) }.
% 0.93/1.50 { class_Groups_Ominus( tc_Complex_Ocomplex ) }.
% 0.93/1.50 { class_Fields_Ofield( tc_Complex_Ocomplex ) }.
% 0.93/1.50 { class_Power_Opower( tc_Complex_Ocomplex ) }.
% 0.93/1.50 { class_Groups_Ozero( tc_Complex_Ocomplex ) }.
% 0.93/1.50 { class_Rings_Oring( tc_Complex_Ocomplex ) }.
% 0.93/1.50 { class_Rings_Oidom( tc_Complex_Ocomplex ) }.
% 0.93/1.50 { class_Int_Onumber( tc_Complex_Ocomplex ) }.
% 0.93/1.50 { class_Groups_Oone( tc_Complex_Ocomplex ) }.
% 0.93/1.50 { ! class_Rings_Oidom( X ),
% 0.93/1.50 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(
% 0.93/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__idom( X ),
% 0.93/1.50 class_Groups_Oordered__cancel__ab__semigroup__add( tc_Polynomial_Opoly( X
% 0.93/1.50 ) ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__idom( X ),
% 0.93/1.50 class_Groups_Oordered__ab__semigroup__add__imp__le( tc_Polynomial_Opoly(
% 0.93/1.50 X ) ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__idom( X ),
% 0.93/1.50 class_Rings_Olinordered__comm__semiring__strict( tc_Polynomial_Opoly( X )
% 0.93/1.50 ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__idom( X ),
% 0.93/1.50 class_Rings_Olinordered__semiring__strict( tc_Polynomial_Opoly( X ) ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__idom( X ),
% 0.93/1.50 class_Groups_Oordered__ab__semigroup__add( tc_Polynomial_Opoly( X ) ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__idom( X ),
% 0.93/1.50 class_Groups_Oordered__ab__group__add__abs( tc_Polynomial_Opoly( X ) ) }
% 0.93/1.50 .
% 0.93/1.50 { ! class_Rings_Olinordered__idom( X ),
% 0.93/1.50 class_Groups_Oordered__comm__monoid__add( tc_Polynomial_Opoly( X ) ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__idom( X ),
% 0.93/1.50 class_Groups_Olinordered__ab__group__add( tc_Polynomial_Opoly( X ) ) }.
% 0.93/1.50 { ! class_Groups_Ocancel__comm__monoid__add( X ),
% 0.93/1.50 class_Groups_Ocancel__ab__semigroup__add( tc_Polynomial_Opoly( X ) ) }.
% 0.93/1.50 { ! class_Rings_Oidom( X ), class_Rings_Oring__1__no__zero__divisors(
% 0.93/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__idom( X ),
% 0.93/1.50 class_Rings_Oordered__cancel__semiring( tc_Polynomial_Opoly( X ) ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__idom( X ),
% 0.93/1.50 class_Rings_Olinordered__ring__strict( tc_Polynomial_Opoly( X ) ) }.
% 0.93/1.50 { ! class_Rings_Oidom( X ), class_Rings_Oring__no__zero__divisors(
% 0.93/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__idom( X ),
% 0.93/1.50 class_Rings_Oordered__comm__semiring( tc_Polynomial_Opoly( X ) ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__idom( X ),
% 0.93/1.50 class_Groups_Oordered__ab__group__add( tc_Polynomial_Opoly( X ) ) }.
% 0.93/1.50 { ! class_Groups_Ocancel__comm__monoid__add( X ),
% 0.93/1.50 class_Groups_Ocancel__semigroup__add( tc_Polynomial_Opoly( X ) ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__idom( X ), class_Rings_Olinordered__semidom(
% 0.93/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.93/1.50 { ! class_Rings_Ocomm__semiring__0( X ), class_Groups_Oab__semigroup__mult
% 0.93/1.50 ( tc_Polynomial_Opoly( X ) ) }.
% 0.93/1.50 { ! class_Rings_Ocomm__semiring__1( X ), class_Groups_Ocomm__monoid__mult(
% 0.93/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.93/1.50 { ! class_Groups_Ocomm__monoid__add( X ), class_Groups_Oab__semigroup__add
% 0.93/1.50 ( tc_Polynomial_Opoly( X ) ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__idom( X ), class_Rings_Oordered__semiring(
% 0.93/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.93/1.50 { ! class_Rings_Oidom( X ), class_Rings_Ono__zero__divisors(
% 0.93/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.93/1.50 { ! class_Groups_Ocomm__monoid__add( X ), class_Groups_Ocomm__monoid__add(
% 0.93/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__idom( X ), class_Rings_Olinordered__ring(
% 0.93/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__idom( X ), class_Rings_Olinordered__idom(
% 0.93/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.93/1.50 { ! class_Rings_Ocomm__semiring__1( X ), class_Rings_Ocomm__semiring__1(
% 0.93/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.93/1.50 { ! class_Rings_Ocomm__semiring__0( X ), class_Rings_Ocomm__semiring__0(
% 0.93/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.93/1.50 { ! class_Rings_Ocomm__semiring__0( X ), class_Rings_Ocomm__semiring(
% 0.93/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.93/1.50 { ! class_Groups_Oab__group__add( X ), class_Groups_Oab__group__add(
% 0.93/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.93/1.50 { ! class_Rings_Ocomm__semiring__1( X ), class_Rings_Ozero__neq__one(
% 0.93/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__idom( X ), class_Rings_Oordered__ring(
% 0.93/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__idom( X ), class_Orderings_Opreorder(
% 0.93/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__idom( X ), class_Orderings_Olinorder(
% 0.93/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.93/1.50 { ! class_Rings_Ocomm__semiring__1( X ), class_Groups_Omonoid__mult(
% 0.93/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.93/1.50 { ! class_Rings_Ocomm__ring__1( X ), class_Rings_Ocomm__ring__1(
% 0.93/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.93/1.50 { ! class_Groups_Ocomm__monoid__add( X ), class_Groups_Omonoid__add(
% 0.93/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.93/1.50 { ! class_Rings_Ocomm__semiring__1( X ), class_Rings_Osemiring__1(
% 0.93/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.93/1.50 { ! class_Rings_Ocomm__semiring__0( X ), class_Rings_Osemiring__0(
% 0.93/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.93/1.50 { ! class_Groups_Oab__group__add( X ), class_Groups_Ogroup__add(
% 0.93/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.93/1.50 { ! class_Rings_Ocomm__semiring__0( X ), class_Rings_Omult__zero(
% 0.93/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.93/1.50 { ! class_Rings_Ocomm__ring( X ), class_Rings_Ocomm__ring(
% 0.93/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__idom( X ), class_Orderings_Oorder(
% 0.93/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__idom( X ), class_Int_Oring__char__0(
% 0.93/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.93/1.50 { ! class_Rings_Ocomm__ring__1( X ), class_Int_Onumber__ring(
% 0.93/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.93/1.50 { ! class_Rings_Ocomm__semiring__0( X ), class_Rings_Osemiring(
% 0.93/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__idom( X ), class_Orderings_Oord(
% 0.93/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.93/1.50 { ! class_Groups_Oab__group__add( X ), class_Groups_Ouminus(
% 0.93/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.93/1.50 { ! class_Rings_Olinordered__idom( X ), class_Groups_Oabs__if(
% 0.93/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.93/1.50 { ! class_Rings_Ocomm__ring__1( X ), class_Rings_Oring__1(
% 0.93/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.93/1.50 { ! class_Groups_Oab__group__add( X ), class_Groups_Ominus(
% 0.93/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.93/1.50 { ! class_Rings_Ocomm__semiring__1( X ), class_Power_Opower(
% 0.93/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.93/1.50 { ! class_Groups_Ozero( X ), class_Groups_Ozero( tc_Polynomial_Opoly( X ) )
% 0.93/1.50 }.
% 0.93/1.50 { ! class_Rings_Ocomm__ring( X ), class_Rings_Oring( tc_Polynomial_Opoly( X
% 0.93/1.50 ) ) }.
% 0.93/1.50 { ! class_Rings_Oidom( X ), class_Rings_Oidom( tc_Polynomial_Opoly( X ) ) }
% 0.93/1.50 .
% 0.93/1.50 { ! class_Rings_Ocomm__ring__1( X ), class_Int_Onumber( tc_Polynomial_Opoly
% 0.93/1.50 ( X ) ) }.
% 0.93/1.50 { ! class_Rings_Ocomm__semiring__1( X ), class_Groups_Oone(
% 0.93/1.50 tc_Polynomial_Opoly( X ) ) }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.93/1.50 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ),
% 0.93/1.50 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.93/1.50 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, skol32( Y ), v_z____
% 0.93/1.50 ) ) ), v_thesis____ }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ), !
% 0.93/1.50 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.50 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.93/1.50 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, hAPP(
% 0.93/1.50 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), skol32( Y ) ), hAPP(
% 0.93/1.50 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), v_z____ ) ) ),
% 0.93/1.50 c_Rings_Oinverse__class_Odivide( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Oabs__class_Oabs( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Ominus__class_Ominus( tc_RealDef_Oreal,
% 0.93/1.50 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex, hAPP(
% 0.93/1.50 c_Polynomial_Opoly( tc_Complex_Ocomplex, v_p ), v_z____ ) ),
% 0.93/1.50 c_Groups_Ouminus__class_Ouminus( tc_RealDef_Oreal, v_s____ ) ) ),
% 0.93/1.50 c_Int_Onumber__class_Onumber__of( tc_RealDef_Oreal, c_Int_OBit0(
% 0.93/1.50 c_Int_OBit1( c_Int_OPls ) ) ) ) ), v_thesis____ }.
% 0.93/1.50 { ! c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.50 c_Groups_Ozero__class_Ozero( tc_RealDef_Oreal ), X ),
% 0.93/1.50 c_Orderings_Oord__class_Oless( tc_RealDef_Oreal,
% 0.93/1.50 c_RealVector_Onorm__class_Onorm( tc_Complex_Ocomplex,
% 0.93/1.50 c_Groups_Ominus__class_Ominus( tc_Complex_Ocomplex, skol32( X ), v_z____
% 0.93/1.50 ) ), X ), v_thesis____ }.
% 0.93/1.50 { ! v_thesis____ }.
% 0.93/1.50
% 0.93/1.50 *** allocated 15000 integers for clauses
% 0.93/1.50 *** allocated 22500 integers for clauses
% 0.93/1.50 *** allocated 33750 integers for clauses
% 0.93/1.50 *** allocated 50625 integers for clauses
% 0.93/1.50 *** allocated 75937 integers for clauses
% 0.93/1.50 percentage equality = 0.249087, percentage horn = 0.928796
% 0.93/1.50 This is a problem with some equality
% 0.93/1.50
% 0.93/1.50
% 0.93/1.50
% 0.93/1.50 Options Used:
% 0.93/1.50
% 0.93/1.50 useres = 1
% 0.93/1.50 useparamod = 1
% 0.93/1.50 useeqrefl = 1
% 0.93/1.50 useeqfact = 1
% 0.93/1.50 usefactor = 1
% 0.93/1.50 usesimpsplitting = 0
% 0.93/1.50 usesimpdemod = 5
% 0.93/1.50 usesimpres = 3
% 0.93/1.50
% 0.93/1.50 resimpinuse = 1000
% 0.93/1.50 resimpclauses = 20000
% 0.93/1.50 substype = eqrewr
% 0.93/1.50 backwardsubs = 1
% 0.93/1.50 selectoldest = 5
% 0.93/1.50
% 0.93/1.50 litorderings [0] = split
% 0.93/1.50 litorderings [1] = extend the termordering, first sorting on arguments
% 0.93/1.50
% 0.93/1.50 termordering = kbo
% 0.93/1.50
% 0.93/1.50 litapriori = 0
% 0.93/1.50 termapriori = 1
% 0.93/1.50 litaposteriori = 0
% 0.93/1.50 termaposteriori = 0
% 0.93/1.50 demodaposteriori = 0
% 0.93/1.50 ordereqreflfact = 0
% 0.93/1.50
% 0.93/1.50 litselect = negord
% 0.93/1.50
% 0.93/1.50 maxweight = 15
% 0.93/1.50 maxdepth = 30000
% 0.93/1.50 maxlength = 115
% 0.93/1.50 maxnrvars = 195
% 0.93/1.50 excuselevel = 1
% 0.93/1.50 increasemaxweight = 1
% 0.93/1.50
% 0.93/1.50 maxselected = 10000000
% 0.93/1.50 maxnrclauses = 10000000
% 0.93/1.50
% 0.93/1.50 showgenerated = 0
% 0.93/1.50 showkept = 0
% 0.93/1.50 showselected = 0
% 0.93/1.50 showdeleted = 0
% 0.93/1.50 showresimp = 1
% 0.93/1.50 showstatus = 2000
% 0.93/1.50
% 0.93/1.50 prologoutput = 0
% 0.93/1.50 nrgoals = 5000000
% 0.93/1.50 totalproof = 1
% 0.93/1.50
% 0.93/1.50 Symbols occurring in the translation:
% 0.93/1.50
% 0.93/1.50 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.93/1.50 . [1, 2] (w:1, o:220, a:1, s:1, b:0),
% 0.93/1.50 ! [4, 1] (w:0, o:116, a:1, s:1, b:0),
% 0.93/1.50 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.93/1.50 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.93/1.50 hAPP [38, 2] (w:1, o:244, a:1, s:1, b:0),
% 0.93/1.50 v_f____ [39, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.93/1.50 c_SEQ_Osubseq [40, 1] (w:1, o:122, a:1, s:1, b:0),
% 0.93/1.50 tc_RealDef_Oreal [41, 0] (w:1, o:22, a:1, s:1, b:0),
% 0.93/1.50 c_Groups_Ozero__class_Ozero [42, 1] (w:1, o:124, a:1, s:1, b:0),
% 0.93/1.50 tc_Complex_Ocomplex [43, 0] (w:1, o:23, a:1, s:1, b:0),
% 0.93/1.50 v_p [44, 0] (w:1, o:24, a:1, s:1, b:0),
% 0.93/1.50 c_Polynomial_Opoly [45, 2] (w:1, o:245, a:1, s:1, b:0),
% 0.93/1.50 v_z____ [46, 0] (w:1, o:25, a:1, s:1, b:0),
% 0.93/1.50 c_RealVector_Onorm__class_Onorm [47, 2] (w:1, o:246, a:1, s:1, b:0),
% 0.93/1.50
% 0.93/1.50 v_s____ [48, 0] (w:1, o:27, a:1, s:1, b:0),
% 0.93/1.50 c_Groups_Ouminus__class_Ouminus [49, 2] (w:1, o:248, a:1, s:1, b:0),
% 0.93/1.50
% 0.93/1.50 c_Groups_Ominus__class_Ominus [50, 3] (w:1, o:276, a:1, s:1, b:0),
% 0.93/1.50 c_Groups_Oabs__class_Oabs [51, 2] (w:1, o:249, a:1, s:1, b:0),
% 0.93/1.50 c_Orderings_Oord__class_Oless [52, 3] (w:1, o:277, a:1, s:1, b:0),
% 0.93/1.50 c_Int_OPls [55, 0] (w:1, o:29, a:1, s:1, b:0),
% 0.93/1.50 c_Int_OBit1 [56, 1] (w:1, o:126, a:1, s:1, b:0),
% 0.93/1.50 c_Int_OBit0 [57, 1] (w:1, o:125, a:1, s:1, b:0),
% 0.93/1.50 c_Int_Onumber__class_Onumber__of [58, 2] (w:1, o:250, a:1, s:1, b:0)
% 0.93/1.50 ,
% 0.93/1.50 c_Rings_Oinverse__class_Odivide [59, 3] (w:1, o:278, a:1, s:1, b:0),
% 0.93/1.50
% 0.93/1.50 class_Fields_Olinordered__field__inverse__zero [62, 1] (w:1, o:127
% 0.93/1.50 , a:1, s:1, b:0),
% 0.93/1.50 class_Int_Onumber__ring [63, 1] (w:1, o:128, a:1, s:1, b:0),
% 0.93/1.50 class_Rings_Olinordered__idom [66, 1] (w:1, o:129, a:1, s:1, b:0),
% 0.93/1.50 class_RealVector_Oreal__normed__algebra__1 [69, 1] (w:1, o:130, a:1
% 0.93/1.50 , s:1, b:0),
% 0.93/1.50 class_RealVector_Oreal__normed__field [71, 1] (w:1, o:131, a:1, s:1
% 0.93/1.50 , b:0),
% 0.93/1.50 class_Fields_Ofield [72, 1] (w:1, o:132, a:1, s:1, b:0),
% 0.93/1.51 class_RealVector_Oreal__normed__vector [74, 1] (w:1, o:133, a:1, s:1
% 0.93/1.51 , b:0),
% 0.93/1.51 class_Fields_Ofield__inverse__zero [76, 1] (w:1, o:134, a:1, s:1, b:0
% 0.93/1.51 ),
% 0.93/1.51 tc_Int_Oint [77, 0] (w:1, o:53, a:1, s:1, b:0),
% 0.93/1.51 class_Int_Oring__char__0 [85, 1] (w:1, o:135, a:1, s:1, b:0),
% 0.93/1.51 class_Int_Onumber [86, 1] (w:1, o:136, a:1, s:1, b:0),
% 0.93/1.51 class_Fields_Olinordered__field [91, 1] (w:1, o:137, a:1, s:1, b:0),
% 0.93/1.51
% 0.93/1.51 class_Groups_Oordered__ab__group__add__abs [94, 1] (w:1, o:138, a:1
% 0.93/1.51 , s:1, b:0),
% 0.93/1.51 class_Groups_Oabs__if [95, 1] (w:1, o:139, a:1, s:1, b:0),
% 0.93/1.51 tc_Nat_Onat [96, 0] (w:1, o:68, a:1, s:1, b:0),
% 0.93/1.51 class_Rings_Odivision__ring [97, 1] (w:1, o:145, a:1, s:1, b:0),
% 0.93/1.51 class_Groups_Ogroup__add [98, 1] (w:1, o:146, a:1, s:1, b:0),
% 0.93/1.51 class_Groups_Olinordered__ab__group__add [99, 1] (w:1, o:147, a:1, s:
% 0.93/1.51 1, b:0),
% 0.93/1.51 class_Groups_Ozero [102, 1] (w:1, o:148, a:1, s:1, b:0),
% 0.93/1.51 class_Groups_Oab__group__add [105, 1] (w:1, o:149, a:1, s:1, b:0),
% 0.93/1.51 class_Groups_Oordered__ab__group__add [108, 1] (w:1, o:150, a:1, s:1
% 0.93/1.51 , b:0),
% 0.93/1.51 class_Rings_Odivision__ring__inverse__zero [109, 1] (w:1, o:151, a:1
% 0.93/1.51 , s:1, b:0),
% 0.93/1.51 c_Orderings_Oord__class_Oless__eq [115, 3] (w:1, o:279, a:1, s:1, b:0
% 0.93/1.51 ),
% 0.93/1.51 v_g____ [116, 1] (w:1, o:152, a:1, s:1, b:0),
% 0.93/1.51 class_Rings_Ocomm__ring [118, 1] (w:1, o:140, a:1, s:1, b:0),
% 0.93/1.51 tc_Polynomial_Opoly [119, 1] (w:1, o:167, a:1, s:1, b:0),
% 0.93/1.51 class_Rings_Ocomm__semiring__0 [121, 1] (w:1, o:142, a:1, s:1, b:0),
% 0.93/1.51
% 0.93/1.51 class_Orderings_Olinorder [126, 1] (w:1, o:168, a:1, s:1, b:0),
% 0.93/1.51 hBOOL [128, 1] (w:1, o:169, a:1, s:1, b:0),
% 0.93/1.51 class_Rings_Oidom [132, 1] (w:1, o:170, a:1, s:1, b:0),
% 0.93/1.51 c_Fundamental__Theorem__Algebra__Mirabelle_Opsize [134, 2] (w:1, o:
% 0.93/1.51 247, a:1, s:1, b:0),
% 0.93/1.51 c_Polynomial_Oorder [135, 3] (w:1, o:280, a:1, s:1, b:0),
% 0.93/1.51 class_Orderings_Opreorder [136, 1] (w:1, o:173, a:1, s:1, b:0),
% 0.93/1.51 class_Orderings_Oorder [139, 1] (w:1, o:171, a:1, s:1, b:0),
% 0.93/1.51 c_SEQ_Odecseq [140, 2] (w:1, o:252, a:1, s:1, b:0),
% 0.93/1.51 class_Lattices_Oboolean__algebra [141, 1] (w:1, o:175, a:1, s:1, b:0)
% 0.93/1.51 ,
% 0.93/1.51 v_r [142, 0] (w:1, o:26, a:1, s:1, b:0),
% 0.93/1.51 class_Orderings_Oord [145, 1] (w:1, o:172, a:1, s:1, b:0),
% 0.93/1.51 tc_fun [146, 2] (w:1, o:265, a:1, s:1, b:0),
% 0.93/1.51 class_Groups_Ominus [149, 1] (w:1, o:176, a:1, s:1, b:0),
% 0.93/1.51 class_Groups_Ouminus [150, 1] (w:1, o:177, a:1, s:1, b:0),
% 0.93/1.51 v_w____ [151, 0] (w:1, o:94, a:1, s:1, b:0),
% 0.93/1.51 c_Groups_Oone__class_Oone [156, 1] (w:1, o:178, a:1, s:1, b:0),
% 0.93/1.51 c_Nat__Transfer_Otsub [158, 2] (w:1, o:266, a:1, s:1, b:0),
% 0.93/1.51 class_Groups_Oone [159, 1] (w:1, o:179, a:1, s:1, b:0),
% 0.93/1.51 class_Rings_Ocomm__semiring__1 [160, 1] (w:1, o:143, a:1, s:1, b:0),
% 0.93/1.51
% 0.93/1.51 class_Rings_Ozero__neq__one [161, 1] (w:1, o:180, a:1, s:1, b:0),
% 0.93/1.51 class_Rings_Olinordered__semidom [162, 1] (w:1, o:183, a:1, s:1, b:0)
% 0.93/1.51 ,
% 0.93/1.51 c_Power_Opower__class_Opower [163, 3] (w:1, o:281, a:1, s:1, b:0),
% 0.93/1.51 c_Nat_OSuc [164, 1] (w:1, o:184, a:1, s:1, b:0),
% 0.93/1.51 c_RealDef_Oreal [165, 2] (w:1, o:251, a:1, s:1, b:0),
% 0.93/1.51 c_Groups_Oplus__class_Oplus [166, 3] (w:1, o:282, a:1, s:1, b:0),
% 0.93/1.51 c_NthRoot_Osqrt [168, 1] (w:1, o:185, a:1, s:1, b:0),
% 0.93/1.51 class_RealVector_Oreal__normed__div__algebra [171, 1] (w:1, o:186, a:
% 0.93/1.51 1, s:1, b:0),
% 0.93/1.51 class_Groups_Oab__semigroup__add [172, 1] (w:1, o:187, a:1, s:1, b:0)
% 0.93/1.51 ,
% 0.93/1.51 class_Groups_Ocancel__semigroup__add [173, 1] (w:1, o:188, a:1, s:1
% 0.93/1.51 , b:0),
% 0.93/1.51 class_Groups_Ocancel__ab__semigroup__add [174, 1] (w:1, o:189, a:1
% 0.93/1.51 , s:1, b:0),
% 0.93/1.51 class_Groups_Oordered__ab__semigroup__add__imp__le [175, 1] (w:1, o:
% 0.93/1.51 190, a:1, s:1, b:0),
% 0.93/1.51 class_Groups_Oordered__cancel__ab__semigroup__add [177, 1] (w:1, o:
% 0.93/1.51 191, a:1, s:1, b:0),
% 0.93/1.51 class_Groups_Oordered__ab__semigroup__add [178, 1] (w:1, o:192, a:1
% 0.93/1.51 , s:1, b:0),
% 0.93/1.51 class_Groups_Ocomm__monoid__add [179, 1] (w:1, o:193, a:1, s:1, b:0)
% 0.93/1.51 ,
% 0.93/1.51 class_Groups_Omonoid__add [180, 1] (w:1, o:194, a:1, s:1, b:0),
% 0.93/1.51 class_Groups_Oordered__comm__monoid__add [184, 1] (w:1, o:195, a:1
% 1.56/1.96 , s:1, b:0),
% 1.56/1.96 class_Rings_Osemiring__1 [186, 1] (w:1, o:201, a:1, s:1, b:0),
% 1.56/1.96 class_Rings_Oring__1__no__zero__divisors [187, 1] (w:1, o:196, a:1
% 1.56/1.96 , s:1, b:0),
% 1.56/1.96 class_Rings_Oring__1 [188, 1] (w:1, o:197, a:1, s:1, b:0),
% 1.56/1.96 class_Groups_Omonoid__mult [199, 1] (w:1, o:202, a:1, s:1, b:0),
% 1.56/1.96 class_Power_Opower [200, 1] (w:1, o:203, a:1, s:1, b:0),
% 1.56/1.96 class_Rings_Omult__zero [201, 1] (w:1, o:206, a:1, s:1, b:0),
% 1.56/1.96 class_Rings_Ono__zero__divisors [202, 1] (w:1, o:207, a:1, s:1, b:0)
% 1.56/1.96 ,
% 1.56/1.96 class_Rings_Osemiring__0 [203, 1] (w:1, o:200, a:1, s:1, b:0),
% 1.56/1.96 c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt [205, 1] (w:1, o:
% 1.56/1.96 123, a:1, s:1, b:0),
% 1.56/1.96 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct [
% 1.56/1.96 206, 1] (w:1, o:214, a:1, s:1, b:0),
% 1.56/1.96 class_Rings_Ocomm__ring__1 [207, 1] (w:1, o:141, a:1, s:1, b:0),
% 1.56/1.96 c_Int_Oiszero [208, 2] (w:1, o:267, a:1, s:1, b:0),
% 1.56/1.96 c_RComplete_Onatceiling [209, 1] (w:1, o:121, a:1, s:1, b:0),
% 1.56/1.96 c_Groups_Otimes__class_Otimes [211, 3] (w:1, o:283, a:1, s:1, b:0),
% 1.56/1.96 class_RealVector_Oreal__normed__algebra [213, 1] (w:1, o:208, a:1, s:
% 1.56/1.96 1, b:0),
% 1.56/1.96 class_Rings_Ocomm__semiring [215, 1] (w:1, o:144, a:1, s:1, b:0),
% 1.56/1.96 class_Rings_Osemiring [216, 1] (w:1, o:209, a:1, s:1, b:0),
% 1.56/1.96 class_Rings_Olinordered__ring__strict [217, 1] (w:1, o:181, a:1, s:1
% 1.56/1.96 , b:0),
% 1.56/1.96 class_Rings_Oring [218, 1] (w:1, o:198, a:1, s:1, b:0),
% 1.56/1.96 class_Lattices_Oab__semigroup__idem__mult [220, 1] (w:1, o:174, a:1
% 1.56/1.96 , s:1, b:0),
% 1.56/1.96 class_Groups_Oab__semigroup__mult [221, 1] (w:1, o:215, a:1, s:1, b:0
% 1.56/1.96 ),
% 1.56/1.96 class_Rings_Oring__no__zero__divisors [222, 1] (w:1, o:199, a:1, s:1
% 1.56/1.96 , b:0),
% 1.56/1.96 class_Rings_Olinordered__ring [223, 1] (w:1, o:182, a:1, s:1, b:0),
% 1.56/1.96 class_Rings_Olinordered__semiring__strict [224, 1] (w:1, o:204, a:1
% 1.56/1.96 , s:1, b:0),
% 1.56/1.96 class_Rings_Olinordered__comm__semiring__strict [225, 1] (w:1, o:205
% 1.56/1.96 , a:1, s:1, b:0),
% 1.56/1.96 class_Rings_Oordered__cancel__semiring [226, 1] (w:1, o:210, a:1, s:1
% 1.56/1.96 , b:0),
% 1.56/1.96 class_Rings_Oordered__ring [227, 1] (w:1, o:211, a:1, s:1, b:0),
% 1.56/1.96 class_Rings_Oordered__semiring [228, 1] (w:1, o:212, a:1, s:1, b:0),
% 1.56/1.96
% 1.56/1.96 class_Rings_Oordered__comm__semiring [229, 1] (w:1, o:213, a:1, s:1
% 1.56/1.96 , b:0),
% 1.56/1.96 class_Groups_Ocomm__monoid__mult [230, 1] (w:1, o:216, a:1, s:1, b:0)
% 1.56/1.96 ,
% 1.56/1.96 class_Groups_Ocancel__comm__monoid__add [236, 1] (w:1, o:217, a:1, s:
% 1.56/1.96 1, b:0),
% 1.56/1.96 tc_HOL_Obool [238, 0] (w:1, o:52, a:1, s:1, b:0),
% 1.56/1.96 v_thesis____ [239, 0] (w:1, o:115, a:1, s:1, b:0),
% 1.56/1.96 alpha1 [240, 3] (w:1, o:284, a:1, s:1, b:1),
% 1.56/1.96 alpha2 [241, 3] (w:1, o:291, a:1, s:1, b:1),
% 1.56/1.96 alpha3 [242, 2] (w:1, o:271, a:1, s:1, b:1),
% 1.56/1.96 alpha4 [243, 3] (w:1, o:296, a:1, s:1, b:1),
% 1.56/1.96 alpha5 [244, 3] (w:1, o:297, a:1, s:1, b:1),
% 1.56/1.96 alpha6 [245, 2] (w:1, o:272, a:1, s:1, b:1),
% 1.56/1.96 alpha7 [246, 1] (w:1, o:218, a:1, s:1, b:1),
% 1.56/1.96 alpha8 [247, 1] (w:1, o:219, a:1, s:1, b:1),
% 1.56/1.96 alpha9 [248, 2] (w:1, o:273, a:1, s:1, b:1),
% 1.56/1.96 alpha10 [249, 2] (w:1, o:274, a:1, s:1, b:1),
% 1.56/1.96 alpha11 [250, 2] (w:1, o:275, a:1, s:1, b:1),
% 1.56/1.96 alpha12 [251, 3] (w:1, o:285, a:1, s:1, b:1),
% 1.56/1.96 alpha13 [252, 3] (w:1, o:286, a:1, s:1, b:1),
% 1.56/1.96 alpha14 [253, 3] (w:1, o:287, a:1, s:1, b:1),
% 1.56/1.96 alpha15 [254, 3] (w:1, o:288, a:1, s:1, b:1),
% 1.56/1.96 alpha16 [255, 4] (w:1, o:312, a:1, s:1, b:1),
% 1.56/1.96 alpha17 [256, 4] (w:1, o:313, a:1, s:1, b:1),
% 1.56/1.96 alpha18 [257, 3] (w:1, o:289, a:1, s:1, b:1),
% 1.56/1.96 alpha19 [258, 3] (w:1, o:290, a:1, s:1, b:1),
% 1.56/1.96 alpha20 [259, 3] (w:1, o:298, a:1, s:1, b:1),
% 1.56/1.96 alpha21 [260, 3] (w:1, o:299, a:1, s:1, b:1),
% 1.56/1.96 alpha22 [261, 3] (w:1, o:300, a:1, s:1, b:1),
% 1.56/1.96 alpha23 [262, 3] (w:1, o:301, a:1, s:1, b:1),
% 1.56/1.96 alpha24 [263, 2] (w:1, o:268, a:1, s:1, b:1),
% 1.56/1.96 alpha25 [264, 2] (w:1, o:269, a:1, s:1, b:1),
% 1.56/1.96 alpha26 [265, 2] (w:1, o:270, a:1, s:1, b:1),
% 1.56/1.96 alpha27 [266, 3] (w:1, o:302, a:1, s:1, b:1),
% 1.56/1.96 alpha28 [267, 3] (w:1, o:303, a:1, s:1, b:1),
% 7.93/8.34 alpha29 [268, 4] (w:1, o:314, a:1, s:1, b:1),
% 7.93/8.34 alpha30 [269, 4] (w:1, o:315, a:1, s:1, b:1),
% 7.93/8.34 alpha31 [270, 4] (w:1, o:316, a:1, s:1, b:1),
% 7.93/8.34 alpha32 [271, 4] (w:1, o:317, a:1, s:1, b:1),
% 7.93/8.34 alpha33 [272, 3] (w:1, o:292, a:1, s:1, b:1),
% 7.93/8.34 alpha34 [273, 3] (w:1, o:293, a:1, s:1, b:1),
% 7.93/8.34 alpha35 [274, 3] (w:1, o:294, a:1, s:1, b:1),
% 7.93/8.34 alpha36 [275, 3] (w:1, o:295, a:1, s:1, b:1),
% 7.93/8.34 skol1 [276, 2] (w:1, o:253, a:1, s:1, b:1),
% 7.93/8.34 skol2 [277, 0] (w:1, o:19, a:1, s:1, b:1),
% 7.93/8.34 skol3 [278, 1] (w:1, o:157, a:1, s:1, b:1),
% 7.93/8.34 skol4 [279, 1] (w:1, o:161, a:1, s:1, b:1),
% 7.93/8.34 skol5 [280, 3] (w:1, o:305, a:1, s:1, b:1),
% 7.93/8.34 skol6 [281, 2] (w:1, o:254, a:1, s:1, b:1),
% 7.93/8.34 skol7 [282, 3] (w:1, o:306, a:1, s:1, b:1),
% 7.93/8.34 skol8 [283, 1] (w:1, o:162, a:1, s:1, b:1),
% 7.93/8.34 skol9 [284, 1] (w:1, o:163, a:1, s:1, b:1),
% 7.93/8.34 skol10 [285, 0] (w:1, o:14, a:1, s:1, b:1),
% 7.93/8.34 skol11 [286, 1] (w:1, o:164, a:1, s:1, b:1),
% 7.93/8.34 skol12 [287, 1] (w:1, o:165, a:1, s:1, b:1),
% 7.93/8.34 skol13 [288, 0] (w:1, o:15, a:1, s:1, b:1),
% 7.93/8.34 skol14 [289, 0] (w:1, o:16, a:1, s:1, b:1),
% 7.93/8.34 skol15 [290, 0] (w:1, o:17, a:1, s:1, b:1),
% 7.93/8.34 skol16 [291, 1] (w:1, o:166, a:1, s:1, b:1),
% 7.93/8.34 skol17 [292, 0] (w:1, o:18, a:1, s:1, b:1),
% 7.93/8.34 skol18 [293, 2] (w:1, o:255, a:1, s:1, b:1),
% 7.93/8.34 skol19 [294, 3] (w:1, o:307, a:1, s:1, b:1),
% 7.93/8.34 skol20 [295, 3] (w:1, o:308, a:1, s:1, b:1),
% 7.93/8.34 skol21 [296, 1] (w:1, o:153, a:1, s:1, b:1),
% 7.93/8.34 skol22 [297, 2] (w:1, o:256, a:1, s:1, b:1),
% 7.93/8.34 skol23 [298, 1] (w:1, o:154, a:1, s:1, b:1),
% 7.93/8.34 skol24 [299, 1] (w:1, o:155, a:1, s:1, b:1),
% 7.93/8.34 skol25 [300, 0] (w:1, o:20, a:1, s:1, b:1),
% 7.93/8.34 skol26 [301, 1] (w:1, o:156, a:1, s:1, b:1),
% 7.93/8.34 skol27 [302, 2] (w:1, o:257, a:1, s:1, b:1),
% 7.93/8.34 skol28 [303, 2] (w:1, o:258, a:1, s:1, b:1),
% 7.93/8.34 skol29 [304, 2] (w:1, o:259, a:1, s:1, b:1),
% 7.93/8.34 skol30 [305, 3] (w:1, o:309, a:1, s:1, b:1),
% 7.93/8.34 skol31 [306, 3] (w:1, o:310, a:1, s:1, b:1),
% 7.93/8.34 skol32 [307, 1] (w:1, o:158, a:1, s:1, b:1),
% 7.93/8.34 skol33 [308, 1] (w:1, o:159, a:1, s:1, b:1),
% 7.93/8.34 skol34 [309, 2] (w:1, o:260, a:1, s:1, b:1),
% 7.93/8.34 skol35 [310, 1] (w:1, o:160, a:1, s:1, b:1),
% 7.93/8.34 skol36 [311, 0] (w:1, o:21, a:1, s:1, b:1),
% 7.93/8.34 skol37 [312, 2] (w:1, o:261, a:1, s:1, b:1),
% 7.93/8.34 skol38 [313, 2] (w:1, o:262, a:1, s:1, b:1),
% 7.93/8.34 skol39 [314, 3] (w:1, o:311, a:1, s:1, b:1),
% 7.93/8.34 skol40 [315, 3] (w:1, o:304, a:1, s:1, b:1),
% 7.93/8.34 skol41 [316, 2] (w:1, o:263, a:1, s:1, b:1),
% 7.93/8.34 skol42 [317, 2] (w:1, o:264, a:1, s:1, b:1).
% 7.93/8.34
% 7.93/8.34
% 7.93/8.34 Starting Search:
% 7.93/8.34
% 7.93/8.34 *** allocated 113905 integers for clauses
% 7.93/8.34 *** allocated 170857 integers for clauses
% 7.93/8.34 Resimplifying inuse:
% 7.93/8.34 Done
% 7.93/8.34
% 7.93/8.34
% 7.93/8.34 Intermediate Status:
% 7.93/8.34 Generated: 2862
% 7.93/8.34 Kept: 2002
% 7.93/8.34 Inuse: 69
% 7.93/8.34 Deleted: 6
% 7.93/8.34 Deletedinuse: 0
% 7.93/8.34
% 7.93/8.34 *** allocated 256285 integers for clauses
% 7.93/8.34 Resimplifying inuse:
% 7.93/8.34 Done
% 7.93/8.34
% 7.93/8.34 Resimplifying inuse:
% 7.93/8.34 Done
% 7.93/8.34
% 7.93/8.34 *** allocated 170857 integers for termspace/termends
% 7.93/8.34
% 7.93/8.34 Intermediate Status:
% 7.93/8.34 Generated: 7707
% 7.93/8.34 Kept: 4077
% 7.93/8.34 Inuse: 225
% 7.93/8.34 Deleted: 17
% 7.93/8.34 Deletedinuse: 1
% 7.93/8.34
% 7.93/8.34 *** allocated 384427 integers for clauses
% 7.93/8.34 Resimplifying inuse:
% 7.93/8.34 Done
% 7.93/8.34
% 7.93/8.34 Resimplifying inuse:
% 7.93/8.34 Done
% 7.93/8.34
% 7.93/8.34
% 7.93/8.34 Intermediate Status:
% 7.93/8.34 Generated: 12388
% 7.93/8.34 Kept: 6078
% 7.93/8.34 Inuse: 337
% 7.93/8.34 Deleted: 21
% 7.93/8.34 Deletedinuse: 1
% 7.93/8.34
% 7.93/8.34 Resimplifying inuse:
% 7.93/8.34 Done
% 7.93/8.34
% 7.93/8.34 *** allocated 256285 integers for termspace/termends
% 7.93/8.34 *** allocated 576640 integers for clauses
% 7.93/8.34
% 7.93/8.34 Intermediate Status:
% 7.93/8.34 Generated: 16341
% 7.93/8.34 Kept: 8288
% 7.93/8.34 Inuse: 441
% 7.93/8.34 Deleted: 22
% 7.93/8.34 Deletedinuse: 2
% 7.93/8.34
% 7.93/8.34 Resimplifying inuse:
% 7.93/8.34 Done
% 7.93/8.34
% 7.93/8.34 Resimplifying inuse:
% 7.93/8.34 Done
% 7.93/8.34
% 7.93/8.34
% 7.93/8.34 Intermediate Status:
% 7.93/8.34 Generated: 20888
% 7.93/8.34 Kept: 10346
% 7.93/8.34 Inuse: 510
% 7.93/8.34 Deleted: 23
% 7.93/8.34 Deletedinuse: 2
% 7.93/8.34
% 7.93/8.34 Resimplifying inuse:
% 7.93/8.34 Done
% 7.93/8.34
% 7.93/8.34 Resimplifying inuse:
% 7.93/8.34 Done
% 7.93/8.34
% 7.93/8.34 *** allocated 384427 integers for termspace/termends
% 7.93/8.34 *** allocated 864960 integers for clauses
% 7.93/8.34
% 7.93/8.34 Intermediate Status:
% 7.93/8.34 Generated: 24674
% 7.93/8.34 Kept: 12430
% 7.93/8.34 Inuse: 538
% 7.93/8.34 Deleted: 25
% 7.93/8.34 Deletedinuse: 2
% 7.93/8.34
% 7.93/8.34 Resimplifying inuse:
% 7.93/8.34 Done
% 7.93/8.34
% 7.93/8.34 Resimplifying inuse:
% 7.93/8.34 Done
% 7.93/8.34
% 7.93/8.34
% 7.93/8.34 Intermediate Status:
% 7.93/8.34 Generated: 30990
% 7.93/8.34 Kept: 14587
% 34.27/34.68 Inuse: 588
% 34.27/34.68 Deleted: 25
% 34.27/34.68 Deletedinuse: 2
% 34.27/34.68
% 34.27/34.68 Resimplifying inuse:
% 34.27/34.68 Done
% 34.27/34.68
% 34.27/34.68 Resimplifying inuse:
% 34.27/34.68 Done
% 34.27/34.68
% 34.27/34.68
% 34.27/34.68 Intermediate Status:
% 34.27/34.68 Generated: 37022
% 34.27/34.68 Kept: 16612
% 34.27/34.68 Inuse: 627
% 34.27/34.68 Deleted: 28
% 34.27/34.68 Deletedinuse: 2
% 34.27/34.68
% 34.27/34.68 Resimplifying inuse:
% 34.27/34.68 Done
% 34.27/34.68
% 34.27/34.68 *** allocated 1297440 integers for clauses
% 34.27/34.68
% 34.27/34.68 Intermediate Status:
% 34.27/34.68 Generated: 43739
% 34.27/34.68 Kept: 19108
% 34.27/34.68 Inuse: 640
% 34.27/34.68 Deleted: 28
% 34.27/34.68 Deletedinuse: 2
% 34.27/34.68
% 34.27/34.68 Resimplifying inuse:
% 34.27/34.68 Done
% 34.27/34.68
% 34.27/34.68 *** allocated 576640 integers for termspace/termends
% 34.27/34.68 Resimplifying clauses:
% 34.27/34.68 Done
% 34.27/34.68
% 34.27/34.68 Resimplifying inuse:
% 34.27/34.68 Done
% 34.27/34.68
% 34.27/34.68
% 34.27/34.68 Intermediate Status:
% 34.27/34.68 Generated: 48717
% 34.27/34.68 Kept: 21110
% 34.27/34.68 Inuse: 699
% 34.27/34.68 Deleted: 215
% 34.27/34.68 Deletedinuse: 2
% 34.27/34.68
% 34.27/34.68 Resimplifying inuse:
% 34.27/34.68 Done
% 34.27/34.68
% 34.27/34.68
% 34.27/34.68 Intermediate Status:
% 34.27/34.68 Generated: 52684
% 34.27/34.68 Kept: 24022
% 34.27/34.68 Inuse: 715
% 34.27/34.68 Deleted: 215
% 34.27/34.68 Deletedinuse: 2
% 34.27/34.68
% 34.27/34.68 Resimplifying inuse:
% 34.27/34.68 Done
% 34.27/34.68
% 34.27/34.68
% 34.27/34.68 Intermediate Status:
% 34.27/34.68 Generated: 55928
% 34.27/34.68 Kept: 26660
% 34.27/34.68 Inuse: 720
% 34.27/34.68 Deleted: 215
% 34.27/34.68 Deletedinuse: 2
% 34.27/34.68
% 34.27/34.68 Resimplifying inuse:
% 34.27/34.68 Done
% 34.27/34.68
% 34.27/34.68 *** allocated 1946160 integers for clauses
% 34.27/34.68
% 34.27/34.68 Intermediate Status:
% 34.27/34.68 Generated: 59524
% 34.27/34.68 Kept: 28904
% 34.27/34.68 Inuse: 740
% 34.27/34.68 Deleted: 215
% 34.27/34.68 Deletedinuse: 2
% 34.27/34.68
% 34.27/34.68 Resimplifying inuse:
% 34.27/34.68 Done
% 34.27/34.68
% 34.27/34.68 Resimplifying inuse:
% 34.27/34.68 Done
% 34.27/34.68
% 34.27/34.68
% 34.27/34.68 Intermediate Status:
% 34.27/34.68 Generated: 62598
% 34.27/34.68 Kept: 30926
% 34.27/34.68 Inuse: 756
% 34.27/34.68 Deleted: 215
% 34.27/34.68 Deletedinuse: 2
% 34.27/34.68
% 34.27/34.68 *** allocated 864960 integers for termspace/termends
% 34.27/34.68 Resimplifying inuse:
% 34.27/34.68 Done
% 34.27/34.68
% 34.27/34.68 Resimplifying inuse:
% 34.27/34.68 Done
% 34.27/34.68
% 34.27/34.68
% 34.27/34.68 Intermediate Status:
% 34.27/34.68 Generated: 66551
% 34.27/34.68 Kept: 32946
% 34.27/34.68 Inuse: 798
% 34.27/34.68 Deleted: 215
% 34.27/34.68 Deletedinuse: 2
% 34.27/34.68
% 34.27/34.68 Resimplifying inuse:
% 34.27/34.68 Done
% 34.27/34.68
% 34.27/34.68
% 34.27/34.68 Intermediate Status:
% 34.27/34.68 Generated: 69507
% 34.27/34.68 Kept: 34975
% 34.27/34.68 Inuse: 810
% 34.27/34.68 Deleted: 215
% 34.27/34.68 Deletedinuse: 2
% 34.27/34.68
% 34.27/34.68 Resimplifying inuse:
% 34.27/34.68 Done
% 34.27/34.68
% 34.27/34.68 Resimplifying inuse:
% 34.27/34.68 Done
% 34.27/34.68
% 34.27/34.68
% 34.27/34.68 Intermediate Status:
% 34.27/34.68 Generated: 73779
% 34.27/34.68 Kept: 37013
% 34.27/34.68 Inuse: 842
% 34.27/34.68 Deleted: 215
% 34.27/34.68 Deletedinuse: 2
% 34.27/34.68
% 34.27/34.68 Resimplifying inuse:
% 34.27/34.68 Done
% 34.27/34.68
% 34.27/34.68 Resimplifying inuse:
% 34.27/34.68 Done
% 34.27/34.68
% 34.27/34.68
% 34.27/34.68 Intermediate Status:
% 34.27/34.68 Generated: 78140
% 34.27/34.68 Kept: 39069
% 34.27/34.68 Inuse: 870
% 34.27/34.68 Deleted: 215
% 34.27/34.68 Deletedinuse: 2
% 34.27/34.68
% 34.27/34.68 Resimplifying inuse:
% 34.27/34.68 Done
% 34.27/34.68
% 34.27/34.68 Resimplifying clauses:
% 34.27/34.68 Done
% 34.27/34.68
% 34.27/34.68 Resimplifying inuse:
% 34.27/34.68 Done
% 34.27/34.68
% 34.27/34.68
% 34.27/34.68 Intermediate Status:
% 34.27/34.68 Generated: 82360
% 34.27/34.68 Kept: 41076
% 34.27/34.68 Inuse: 896
% 34.27/34.68 Deleted: 326
% 34.27/34.68 Deletedinuse: 2
% 34.27/34.68
% 34.27/34.68 *** allocated 2919240 integers for clauses
% 34.27/34.68
% 34.27/34.68 Intermediate Status:
% 34.27/34.68 Generated: 85846
% 34.27/34.68 Kept: 43465
% 34.27/34.68 Inuse: 905
% 34.27/34.68 Deleted: 326
% 34.27/34.68 Deletedinuse: 2
% 34.27/34.68
% 34.27/34.68 Resimplifying inuse:
% 34.27/34.68 Done
% 34.27/34.68
% 34.27/34.68 Resimplifying inuse:
% 34.27/34.68 Done
% 34.27/34.68
% 34.27/34.68
% 34.27/34.68 Intermediate Status:
% 34.27/34.68 Generated: 90645
% 34.27/34.68 Kept: 45500
% 34.27/34.68 Inuse: 934
% 34.27/34.68 Deleted: 328
% 34.27/34.68 Deletedinuse: 4
% 34.27/34.68
% 34.27/34.68 Resimplifying inuse:
% 34.27/34.68 Done
% 34.27/34.68
% 34.27/34.68 Resimplifying inuse:
% 34.27/34.68 Done
% 34.27/34.68
% 34.27/34.68
% 34.27/34.68 Intermediate Status:
% 34.27/34.68 Generated: 99736
% 34.27/34.68 Kept: 47523
% 34.27/34.68 Inuse: 954
% 34.27/34.68 Deleted: 328
% 34.27/34.68 Deletedinuse: 4
% 34.27/34.68
% 34.27/34.68 *** allocated 1297440 integers for termspace/termends
% 34.27/34.68 Resimplifying inuse:
% 34.27/34.68 Done
% 34.27/34.68
% 34.27/34.68 Resimplifying inuse:
% 34.27/34.68 Done
% 34.27/34.68
% 34.27/34.68
% 34.27/34.68 Intermediate Status:
% 34.27/34.68 Generated: 104879
% 34.27/34.68 Kept: 49577
% 34.27/34.68 Inuse: 982
% 34.27/34.68 Deleted: 328
% 34.27/34.68 Deletedinuse: 4
% 34.27/34.68
% 34.27/34.68 Resimplifying inuse:
% 34.27/34.68 Done
% 34.27/34.68
% 34.27/34.68 Resimplifying inuse:
% 34.27/34.68 Done
% 34.27/34.68
% 34.27/34.68
% 34.27/34.68 Intermediate Status:
% 34.27/34.68 Generated: 115078
% 34.27/34.68 Kept: 53023
% 34.27/34.68 Inuse: 1005
% 34.27/34.68 Deleted: 328
% 34.27/34.68 Deletedinuse: 4
% 34.27/34.68
% 34.27/34.68 Resimplifying inuse:
% 34.27/34.68 Done
% 34.27/34.68
% 34.27/34.68
% 34.27/34.68 Intermediate Status:
% 34.27/34.68 Generated: 120224
% 34.27/34.68 Kept: 56238
% 34.27/34.68 Inuse: 1020
% 34.27/34.68 Deleted: 328
% 34.27/34.68 Deletedinuse: 4
% 34.27/34.68
% 34.27/34.68 Resimplifying inuse:
% 34.27/34.68 Done
% 34.27/34.68
% 34.27/34.68 Resimplifying inuse:
% 34.27/34.68 Done
% 34.27/34.68
% 34.27/34.68
% 34.27/34.68 Intermediate Status:
% 34.27/34.68 Generated: 138653
% 34.27/34.68 Kept: 61657
% 34.27/34.68 Inuse: 1040
% 34.27/34.68 Deleted: 330
% 34.27/34.68 Deletedinuse: 6
% 34.27/34.68
% 34.27/34.68 Resimplifying inuse:
% 34.27/34.68 Done
% 34.27/34.68
% 34.27/34.68 Resimplifying clauses:
% 34.27/34.68 Done
% 34.27/34.68
% 34.27/34.68
% 34.27/34.68 Intermediate Status:
% 34.27/34.68 Generated: 147612
% 34.27/34.68 Kept: 64552
% 34.27/34.68 Inuse: 1052
% 34.27/34.68 Deleted: 532
% 34.27/34.68 Deletedinuse: 6
% 34.27/34.68
% 34.27/34.68 Resimplifying inuse:
% 34.27/34.68 Done
% 34.27/34.68
% 34.27/34.68 *** allocated 4378860 integers for clauses
% 34.27/34.68 Resimplifying inuse:
% 34.27/34.68 Done
% 34.27/34.68
% 34.27/34.68
% 34.27/34.68 Intermediate Status:
% 34.27/34.68 Generated: 153180
% 34.27/34.68 Kept: 66638
% 34.27/34.68 Inuse: 1100
% 34.27/34.68 Deleted: 532
% 34.27/34.68 Deletedinuse: 6
% 34.27/34.68
% 34.27/34.68 Resimplifying inuse:
% 34.27/34.68 Done
% 34.27/34.68
% 34.27/34.68 Resimplifying inuse:
% 34.27/34.68 Done
% 34.27/34.68
% 34.27/34.68
% 34.27/34.68 Intermediate Status:
% 34.27/34.68 Generated: 159283
% 34.27/34.68 Kept: 68638
% 34.27/34.68 Inuse: 1153
% 34.27/34.68 Deleted: 532
% 34.27/34.68 Deletedinuse: 6
% 34.27/34.68
% 34.27/34.68 Resimplifying inuse:
% 34.27/34.68 Done
% 34.27/34.68
% 34.27/34.68 Resimplifying inuse:
% 34.27/34.68 Done
% 34.27/34.68
% 34.27/34.68
% 34.27/34.68 Intermediate Status:
% 34.27/34.68 Generated: 165104
% 34.27/34.68 Kept: 70644
% 34.27/34.68 Inuse: 1205
% 100.21/100.59 Deleted: 532
% 100.21/100.59 Deletedinuse: 6
% 100.21/100.59
% 100.21/100.59 Resimplifying inuse:
% 100.21/100.59 Done
% 100.21/100.59
% 100.21/100.59 Resimplifying inuse:
% 100.21/100.59 Done
% 100.21/100.59
% 100.21/100.59
% 100.21/100.59 Intermediate Status:
% 100.21/100.59 Generated: 170981
% 100.21/100.59 Kept: 72645
% 100.21/100.59 Inuse: 1261
% 100.21/100.59 Deleted: 532
% 100.21/100.59 Deletedinuse: 6
% 100.21/100.59
% 100.21/100.59 *** allocated 1946160 integers for termspace/termends
% 100.21/100.59
% 100.21/100.59 Intermediate Status:
% 100.21/100.59 Generated: 174715
% 100.21/100.59 Kept: 75440
% 100.21/100.59 Inuse: 1265
% 100.21/100.59 Deleted: 532
% 100.21/100.59 Deletedinuse: 6
% 100.21/100.59
% 100.21/100.59 Resimplifying inuse:
% 100.21/100.59 Done
% 100.21/100.59
% 100.21/100.59 Resimplifying inuse:
% 100.21/100.59 Done
% 100.21/100.59
% 100.21/100.59
% 100.21/100.59 Intermediate Status:
% 100.21/100.59 Generated: 180185
% 100.21/100.59 Kept: 77443
% 100.21/100.59 Inuse: 1305
% 100.21/100.59 Deleted: 532
% 100.21/100.59 Deletedinuse: 6
% 100.21/100.59
% 100.21/100.59 Resimplifying inuse:
% 100.21/100.59 Done
% 100.21/100.59
% 100.21/100.59 Resimplifying inuse:
% 100.21/100.59 Done
% 100.21/100.59
% 100.21/100.59
% 100.21/100.59 Intermediate Status:
% 100.21/100.59 Generated: 187508
% 100.21/100.59 Kept: 79539
% 100.21/100.59 Inuse: 1335
% 100.21/100.59 Deleted: 532
% 100.21/100.59 Deletedinuse: 6
% 100.21/100.59
% 100.21/100.59 Resimplifying inuse:
% 100.21/100.59 Done
% 100.21/100.59
% 100.21/100.59
% 100.21/100.59 Intermediate Status:
% 100.21/100.59 Generated: 197545
% 100.21/100.59 Kept: 81550
% 100.21/100.59 Inuse: 1364
% 100.21/100.59 Deleted: 532
% 100.21/100.59 Deletedinuse: 6
% 100.21/100.59
% 100.21/100.59 Resimplifying clauses:
% 100.21/100.59 Done
% 100.21/100.59
% 100.21/100.59 Resimplifying inuse:
% 100.21/100.59 Done
% 100.21/100.59
% 100.21/100.59
% 100.21/100.59 Intermediate Status:
% 100.21/100.59 Generated: 211338
% 100.21/100.59 Kept: 86995
% 100.21/100.59 Inuse: 1372
% 100.21/100.59 Deleted: 1070
% 100.21/100.59 Deletedinuse: 7
% 100.21/100.59
% 100.21/100.59 Resimplifying inuse:
% 100.21/100.59 Done
% 100.21/100.59
% 100.21/100.59
% 100.21/100.59 Intermediate Status:
% 100.21/100.59 Generated: 222526
% 100.21/100.59 Kept: 90219
% 100.21/100.59 Inuse: 1381
% 100.21/100.59 Deleted: 1101
% 100.21/100.59 Deletedinuse: 7
% 100.21/100.59
% 100.21/100.59 Resimplifying inuse:
% 100.21/100.59 Done
% 100.21/100.59
% 100.21/100.59 Resimplifying inuse:
% 100.21/100.59 Done
% 100.21/100.59
% 100.21/100.59
% 100.21/100.59 Intermediate Status:
% 100.21/100.59 Generated: 232154
% 100.21/100.59 Kept: 92343
% 100.21/100.59 Inuse: 1385
% 100.21/100.59 Deleted: 1117
% 100.21/100.59 Deletedinuse: 7
% 100.21/100.59
% 100.21/100.59
% 100.21/100.59 Intermediate Status:
% 100.21/100.59 Generated: 235902
% 100.21/100.59 Kept: 95260
% 100.21/100.59 Inuse: 1386
% 100.21/100.59 Deleted: 1121
% 100.21/100.59 Deletedinuse: 7
% 100.21/100.59
% 100.21/100.59 Resimplifying inuse:
% 100.21/100.59 Done
% 100.21/100.59
% 100.21/100.59 Resimplifying inuse:
% 100.21/100.59 Done
% 100.21/100.59
% 100.21/100.59
% 100.21/100.59 Intermediate Status:
% 100.21/100.59 Generated: 244058
% 100.21/100.59 Kept: 97690
% 100.21/100.59 Inuse: 1403
% 100.21/100.59 Deleted: 1139
% 100.21/100.59 Deletedinuse: 7
% 100.21/100.59
% 100.21/100.59 Resimplifying inuse:
% 100.21/100.59 Done
% 100.21/100.59
% 100.21/100.59 Resimplifying inuse:
% 100.21/100.59 Done
% 100.21/100.59
% 100.21/100.59 *** allocated 6568290 integers for clauses
% 100.21/100.59
% 100.21/100.59 Intermediate Status:
% 100.21/100.59 Generated: 258059
% 100.21/100.59 Kept: 101895
% 100.21/100.59 Inuse: 1433
% 100.21/100.59 Deleted: 1140
% 100.21/100.59 Deletedinuse: 8
% 100.21/100.59
% 100.21/100.59 Resimplifying inuse:
% 100.21/100.59 Done
% 100.21/100.59
% 100.21/100.59 Resimplifying clauses:
% 100.21/100.59 Done
% 100.21/100.59
% 100.21/100.59 Resimplifying inuse:
% 100.21/100.59 Done
% 100.21/100.59
% 100.21/100.59 *** allocated 2919240 integers for termspace/termends
% 100.21/100.59
% 100.21/100.59 Intermediate Status:
% 100.21/100.59 Generated: 264286
% 100.21/100.59 Kept: 103895
% 100.21/100.59 Inuse: 1464
% 100.21/100.59 Deleted: 1275
% 100.21/100.59 Deletedinuse: 8
% 100.21/100.59
% 100.21/100.59 Resimplifying inuse:
% 100.21/100.59 Done
% 100.21/100.59
% 100.21/100.59
% 100.21/100.59 Intermediate Status:
% 100.21/100.59 Generated: 275095
% 100.21/100.59 Kept: 110509
% 100.21/100.59 Inuse: 1477
% 100.21/100.59 Deleted: 1275
% 100.21/100.59 Deletedinuse: 8
% 100.21/100.59
% 100.21/100.59 Resimplifying inuse:
% 100.21/100.59 Done
% 100.21/100.59
% 100.21/100.59 Resimplifying inuse:
% 100.21/100.59 Done
% 100.21/100.59
% 100.21/100.59
% 100.21/100.59 Intermediate Status:
% 100.21/100.59 Generated: 286349
% 100.21/100.59 Kept: 117428
% 100.21/100.59 Inuse: 1497
% 100.21/100.59 Deleted: 1275
% 100.21/100.59 Deletedinuse: 8
% 100.21/100.59
% 100.21/100.59 Resimplifying inuse:
% 100.21/100.59 Done
% 100.21/100.59
% 100.21/100.59 Resimplifying inuse:
% 100.21/100.59 Done
% 100.21/100.59
% 100.21/100.59
% 100.21/100.59 Intermediate Status:
% 100.21/100.59 Generated: 290753
% 100.21/100.59 Kept: 119487
% 100.21/100.59 Inuse: 1519
% 100.21/100.59 Deleted: 1275
% 100.21/100.59 Deletedinuse: 8
% 100.21/100.59
% 100.21/100.59 Resimplifying inuse:
% 100.21/100.59 Done
% 100.21/100.59
% 100.21/100.59 Resimplifying inuse:
% 100.21/100.59 Done
% 100.21/100.59
% 100.21/100.59
% 100.21/100.59 Intermediate Status:
% 100.21/100.59 Generated: 295842
% 100.21/100.59 Kept: 121500
% 100.21/100.59 Inuse: 1544
% 100.21/100.59 Deleted: 1275
% 100.21/100.59 Deletedinuse: 8
% 100.21/100.59
% 100.21/100.59 Resimplifying inuse:
% 100.21/100.59 Done
% 100.21/100.59
% 100.21/100.59 Resimplifying clauses:
% 100.21/100.59 Done
% 100.21/100.59
% 100.21/100.59 Resimplifying inuse:
% 100.21/100.59 Done
% 100.21/100.59
% 100.21/100.59
% 100.21/100.59 Intermediate Status:
% 100.21/100.59 Generated: 302265
% 100.21/100.59 Kept: 123538
% 100.21/100.59 Inuse: 1577
% 100.21/100.59 Deleted: 1386
% 100.21/100.59 Deletedinuse: 8
% 100.21/100.59
% 100.21/100.59 Resimplifying inuse:
% 100.21/100.59 Done
% 100.21/100.59
% 100.21/100.59 Resimplifying inuse:
% 100.21/100.59 Done
% 100.21/100.59
% 100.21/100.59
% 100.21/100.59 Intermediate Status:
% 100.21/100.59 Generated: 310447
% 100.21/100.59 Kept: 125581
% 100.21/100.59 Inuse: 1612
% 100.21/100.59 Deleted: 1386
% 100.21/100.59 Deletedinuse: 8
% 100.21/100.59
% 100.21/100.59
% 100.21/100.59 Intermediate Status:
% 100.21/100.59 Generated: 315486
% 100.21/100.59 Kept: 128925
% 100.21/100.59 Inuse: 1615
% 100.21/100.59 Deleted: 1386
% 100.21/100.59 Deletedinuse: 8
% 100.21/100.59
% 100.21/100.59 Resimplifying inuse:
% 100.21/100.59 Done
% 100.21/100.59
% 100.21/100.59 Resimplifying inuse:
% 100.21/100.59 Done
% 100.21/100.59
% 100.21/100.59
% 100.21/100.59 Intermediate Status:
% 100.21/100.59 Generated: 322137
% 100.21/100.59 Kept: 130975
% 100.21/100.59 Inuse: 1642
% 100.21/100.59 Deleted: 1386
% 100.21/100.59 Deletedinuse: 8
% 100.21/100.59
% 100.21/100.59 Resimplifying inuse:
% 100.21/100.59 Done
% 100.21/100.59
% 100.21/100.59 Resimplifying inuse:
% 100.21/100.59 Done
% 100.21/100.59
% 100.21/100.59
% 100.21/100.59 Intermediate Status:
% 100.21/100.59 Generated: 328068
% 100.21/100.59 Kept: 132998
% 100.21/100.59 Inuse: 1665
% 100.21/100.59 Deleted: 1386
% 100.21/100.59 Deletedinuse: 8
% 100.21/100.59
% 100.21/100.59 Resimplifying inuse:
% 100.21/100.59 Done
% 100.21/100.59
% 100.21/100.59 Resimplifying inuse:
% 100.21/100.59 Done
% 100.21/100.59
% 100.21/100.59
% 100.21/100.59 Intermediate Status:
% 100.21/100.59 Generated: 343508
% 100.21/100.59 Kept: 136701
% 100.21/100.59 Inuse: 1685
% 100.21/100.59 Deleted: 1386
% 100.21/100.59 Deletedinuse: 8
% 100.21/100.59
% 100.21/100.59 Resimplifying inuse:
% 100.21/100.59 Done
% 100.21/100.59
% 100.21/100.59 Resimplifying inuse:
% 100.21/100.59 Done
% 100.21/100.59
% 100.21/100.59
% 100.21/100.59 Intermediate Status:
% 100.21/100.59 Generated: 350652
% 100.21/100.59 Kept: 138729
% 100.21/100.59 Inuse: 1710
% 100.21/100.59 Deleted: 1386
% 100.21/100.59 Deletedinuse: 8
% 100.21/100.59
% 100.21/100.59 Resimplifying inuse:
% 100.21/100.59 Done
% 100.21/100.59
% 100.21/100.59 Resimplifying inuse:
% 100.21/100.59 Done
% 100.21/100.59
% 100.21/100.59
% 100.21/100.59 Intermediate Status:
% 100.21/100.59 Generated: 357729
% 100.21/100.59 Kept: 140878
% 259.27/259.74 Inuse: 1735
% 259.27/259.74 Deleted: 1386
% 259.27/259.74 Deletedinuse: 8
% 259.27/259.74
% 259.27/259.74 Resimplifying inuse:
% 259.27/259.74 Done
% 259.27/259.74
% 259.27/259.74
% 259.27/259.74 Intermediate Status:
% 259.27/259.74 Generated: 369691
% 259.27/259.74 Kept: 143418
% 259.27/259.74 Inuse: 1740
% 259.27/259.74 Deleted: 1386
% 259.27/259.74 Deletedinuse: 8
% 259.27/259.74
% 259.27/259.74 Resimplifying inuse:
% 259.27/259.74 Done
% 259.27/259.74
% 259.27/259.74 Resimplifying clauses:
% 259.27/259.74 Done
% 259.27/259.74
% 259.27/259.74 Resimplifying inuse:
% 259.27/259.74 Done
% 259.27/259.74
% 259.27/259.74
% 259.27/259.74 Intermediate Status:
% 259.27/259.74 Generated: 377388
% 259.27/259.74 Kept: 145451
% 259.27/259.74 Inuse: 1771
% 259.27/259.74 Deleted: 1544
% 259.27/259.74 Deletedinuse: 8
% 259.27/259.74
% 259.27/259.74 Resimplifying inuse:
% 259.27/259.74 Done
% 259.27/259.74
% 259.27/259.74 Resimplifying inuse:
% 259.27/259.74 Done
% 259.27/259.74
% 259.27/259.74
% 259.27/259.74 Intermediate Status:
% 259.27/259.74 Generated: 384718
% 259.27/259.74 Kept: 147606
% 259.27/259.74 Inuse: 1795
% 259.27/259.74 Deleted: 1544
% 259.27/259.74 Deletedinuse: 8
% 259.27/259.74
% 259.27/259.74 Resimplifying inuse:
% 259.27/259.74 Done
% 259.27/259.74
% 259.27/259.74 Resimplifying inuse:
% 259.27/259.74 Done
% 259.27/259.74
% 259.27/259.74
% 259.27/259.74 Intermediate Status:
% 259.27/259.74 Generated: 391047
% 259.27/259.74 Kept: 149624
% 259.27/259.74 Inuse: 1819
% 259.27/259.74 Deleted: 1544
% 259.27/259.74 Deletedinuse: 8
% 259.27/259.74
% 259.27/259.74
% 259.27/259.74 Intermediate Status:
% 259.27/259.74 Generated: 403979
% 259.27/259.74 Kept: 153256
% 259.27/259.74 Inuse: 1820
% 259.27/259.74 Deleted: 1544
% 259.27/259.74 Deletedinuse: 8
% 259.27/259.74
% 259.27/259.74 Resimplifying inuse:
% 259.27/259.74 Done
% 259.27/259.74
% 259.27/259.74 *** allocated 9852435 integers for clauses
% 259.27/259.74 Resimplifying inuse:
% 259.27/259.74 Done
% 259.27/259.74
% 259.27/259.74
% 259.27/259.74 Intermediate Status:
% 259.27/259.74 Generated: 411349
% 259.27/259.74 Kept: 155294
% 259.27/259.74 Inuse: 1847
% 259.27/259.74 Deleted: 1544
% 259.27/259.74 Deletedinuse: 8
% 259.27/259.74
% 259.27/259.74 Resimplifying inuse:
% 259.27/259.74 Done
% 259.27/259.74
% 259.27/259.74 *** allocated 4378860 integers for termspace/termends
% 259.27/259.74
% 259.27/259.74 Intermediate Status:
% 259.27/259.74 Generated: 421914
% 259.27/259.74 Kept: 160048
% 259.27/259.74 Inuse: 1850
% 259.27/259.74 Deleted: 1544
% 259.27/259.74 Deletedinuse: 8
% 259.27/259.74
% 259.27/259.74 Resimplifying inuse:
% 259.27/259.74 Done
% 259.27/259.74
% 259.27/259.74 Resimplifying inuse:
% 259.27/259.74 Done
% 259.27/259.74
% 259.27/259.74
% 259.27/259.74 Intermediate Status:
% 259.27/259.74 Generated: 437138
% 259.27/259.74 Kept: 165990
% 259.27/259.74 Inuse: 1870
% 259.27/259.74 Deleted: 1544
% 259.27/259.74 Deletedinuse: 8
% 259.27/259.74
% 259.27/259.74 Resimplifying inuse:
% 259.27/259.74 Done
% 259.27/259.74
% 259.27/259.74 Resimplifying clauses:
% 259.27/259.74 Done
% 259.27/259.74
% 259.27/259.74 Resimplifying inuse:
% 259.27/259.74 Done
% 259.27/259.74
% 259.27/259.74
% 259.27/259.74 Intermediate Status:
% 259.27/259.74 Generated: 443854
% 259.27/259.74 Kept: 168045
% 259.27/259.74 Inuse: 1893
% 259.27/259.74 Deleted: 1728
% 259.27/259.74 Deletedinuse: 8
% 259.27/259.74
% 259.27/259.74 Resimplifying inuse:
% 259.27/259.74 Done
% 259.27/259.74
% 259.27/259.74 Resimplifying inuse:
% 259.27/259.74 Done
% 259.27/259.74
% 259.27/259.74
% 259.27/259.74 Intermediate Status:
% 259.27/259.74 Generated: 451186
% 259.27/259.74 Kept: 170171
% 259.27/259.74 Inuse: 1915
% 259.27/259.74 Deleted: 1728
% 259.27/259.74 Deletedinuse: 8
% 259.27/259.74
% 259.27/259.74 Resimplifying inuse:
% 259.27/259.74 Done
% 259.27/259.74
% 259.27/259.74 Resimplifying inuse:
% 259.27/259.74 Done
% 259.27/259.74
% 259.27/259.74
% 259.27/259.74 Intermediate Status:
% 259.27/259.74 Generated: 457603
% 259.27/259.74 Kept: 172294
% 259.27/259.74 Inuse: 1940
% 259.27/259.74 Deleted: 1728
% 259.27/259.74 Deletedinuse: 8
% 259.27/259.74
% 259.27/259.74 Resimplifying inuse:
% 259.27/259.74 Done
% 259.27/259.74
% 259.27/259.74 Resimplifying inuse:
% 259.27/259.74 Done
% 259.27/259.74
% 259.27/259.74
% 259.27/259.74 Intermediate Status:
% 259.27/259.74 Generated: 464068
% 259.27/259.74 Kept: 174434
% 259.27/259.74 Inuse: 1960
% 259.27/259.74 Deleted: 1730
% 259.27/259.74 Deletedinuse: 10
% 259.27/259.74
% 259.27/259.74 Resimplifying inuse:
% 259.27/259.74 Done
% 259.27/259.74
% 259.27/259.74
% 259.27/259.74 Intermediate Status:
% 259.27/259.74 Generated: 479241
% 259.27/259.74 Kept: 178314
% 259.27/259.74 Inuse: 1965
% 259.27/259.74 Deleted: 1730
% 259.27/259.74 Deletedinuse: 10
% 259.27/259.74
% 259.27/259.74 Resimplifying inuse:
% 259.27/259.74 Done
% 259.27/259.74
% 259.27/259.74 Resimplifying inuse:
% 259.27/259.74 Done
% 259.27/259.74
% 259.27/259.74
% 259.27/259.74 Intermediate Status:
% 259.27/259.74 Generated: 486218
% 259.27/259.74 Kept: 180420
% 259.27/259.74 Inuse: 1985
% 259.27/259.74 Deleted: 1730
% 259.27/259.74 Deletedinuse: 10
% 259.27/259.74
% 259.27/259.74 Resimplifying inuse:
% 259.27/259.74 Done
% 259.27/259.74
% 259.27/259.74 Resimplifying inuse:
% 259.27/259.74 Done
% 259.27/259.74
% 259.27/259.74
% 259.27/259.74 Intermediate Status:
% 259.27/259.74 Generated: 492030
% 259.27/259.74 Kept: 182532
% 259.27/259.74 Inuse: 2001
% 259.27/259.74 Deleted: 1730
% 259.27/259.74 Deletedinuse: 10
% 259.27/259.74
% 259.27/259.74 Resimplifying inuse:
% 259.27/259.74 Done
% 259.27/259.74
% 259.27/259.74 Resimplifying inuse:
% 259.27/259.74 Done
% 259.27/259.74
% 259.27/259.74
% 259.27/259.74 Intermediate Status:
% 259.27/259.74 Generated: 497168
% 259.27/259.74 Kept: 184598
% 259.27/259.74 Inuse: 2014
% 259.27/259.74 Deleted: 1730
% 259.27/259.74 Deletedinuse: 10
% 259.27/259.74
% 259.27/259.74 Resimplifying inuse:
% 259.27/259.74 Done
% 259.27/259.74
% 259.27/259.74 Resimplifying clauses:
% 259.27/259.74 Done
% 259.27/259.74
% 259.27/259.74
% 259.27/259.74 Intermediate Status:
% 259.27/259.74 Generated: 504044
% 259.27/259.74 Kept: 186737
% 259.27/259.74 Inuse: 2035
% 259.27/259.74 Deleted: 3892
% 259.27/259.74 Deletedinuse: 10
% 259.27/259.74
% 259.27/259.74 Resimplifying inuse:
% 259.27/259.74 Done
% 259.27/259.74
% 259.27/259.74 Resimplifying inuse:
% 259.27/259.74 Done
% 259.27/259.74
% 259.27/259.74
% 259.27/259.74 Intermediate Status:
% 259.27/259.74 Generated: 509180
% 259.27/259.74 Kept: 188778
% 259.27/259.74 Inuse: 2064
% 259.27/259.74 Deleted: 3907
% 259.27/259.74 Deletedinuse: 24
% 259.27/259.74
% 259.27/259.74 Resimplifying inuse:
% 259.27/259.74 Done
% 259.27/259.74
% 259.27/259.74 Resimplifying inuse:
% 259.27/259.74 Done
% 259.27/259.74
% 259.27/259.74
% 259.27/259.74 Intermediate Status:
% 259.27/259.74 Generated: 515435
% 259.27/259.74 Kept: 190811
% 259.27/259.74 Inuse: 2096
% 259.27/259.74 Deleted: 3912
% 259.27/259.74 Deletedinuse: 27
% 259.27/259.74
% 259.27/259.74
% 259.27/259.74 Intermediate Status:
% 259.27/259.74 Generated: 535244
% 259.27/259.74 Kept: 194857
% 259.27/259.74 Inuse: 2102
% 259.27/259.74 Deleted: 3912
% 259.27/259.74 Deletedinuse: 27
% 259.27/259.74
% 259.27/259.74 Resimplifying inuse:
% 259.27/259.74 Done
% 259.27/259.74
% 259.27/259.74
% 259.27/259.74 Intermediate Status:
% 259.27/259.74 Generated: 543472
% 259.27/259.74 Kept: 196882
% 259.27/259.74 Inuse: 2107
% 259.27/259.74 Deleted: 3912
% 259.27/259.74 Deletedinuse: 27
% 259.27/259.74
% 259.27/259.74 Resimplifying inuse:
% 259.27/259.74 Done
% 259.27/259.74
% 259.27/259.74
% 259.27/259.74 Intermediate Status:
% 259.27/259.74 Generated: 550322
% 259.27/259.74 Kept: 199488
% 259.27/259.74 Inuse: 2112
% 259.27/259.74 Deleted: 3912
% 259.27/259.74 Deletedinuse: 27
% 259.27/259.74
% 259.27/259.74 Resimplifying inuse:
% 259.27/259.74 Done
% 259.27/259.74
% 259.27/259.74
% 259.27/259.74 Intermediate Status:
% 259.27/259.74 Generated: 557018
% 259.27/259.74 Kept: 202333
% 259.27/259.74 Inuse: 2117
% 259.27/259.74 Deleted: 3912
% 259.27/259.74 Deletedinuse: 27
% 259.27/259.74
% 259.27/259.74 Resimplifying inuse:
% 259.27/259.74 Done
% 259.27/259.74
% 259.27/259.74 Resimplifying inuse:
% 259.27/259.74 Done
% 259.27/259.74
% 259.27/259.74
% 259.27/259.74 Intermediate Status:
% 259.27/259.74 Generated: 562696
% 259.27/259.74 Kept: 204358
% 259.27/259.74 Inuse: 2136
% 259.27/259.74 Deleted: 3912
% 259.27/259.74 DeletCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------