TSTP Solution File: SWV333-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV333-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Wed Jul 20 16:24:09 EDT 2022
% Result : Unsatisfiable 1.25s 1.65s
% Output : Refutation 1.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWV333-1 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.13 % Command : bliksem %s
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Thu Jun 16 02:46:50 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.21/1.60 *** allocated 10000 integers for termspace/termends
% 1.21/1.60 *** allocated 10000 integers for clauses
% 1.21/1.60 *** allocated 10000 integers for justifications
% 1.21/1.60 *** allocated 15000 integers for termspace/termends
% 1.21/1.60 *** allocated 22500 integers for termspace/termends
% 1.21/1.60 *** allocated 33750 integers for termspace/termends
% 1.21/1.60 *** allocated 50625 integers for termspace/termends
% 1.21/1.60 Bliksem 1.12
% 1.21/1.60
% 1.21/1.60
% 1.21/1.60 Automatic Strategy Selection
% 1.21/1.60
% 1.21/1.60 Clauses:
% 1.21/1.60 [
% 1.21/1.60 [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ),
% 1.21/1.60 'c_Datatype__Universe_OLeaf'( T, Y, Z ) ) ), =( X, T ) ],
% 1.21/1.60 [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ),
% 1.21/1.60 'c_Datatype__Universe_ONumb'( T, Y, Z ) ) ), =( X, T ) ],
% 1.21/1.60 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U ), 'tc_prod'(
% 1.21/1.60 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.21/1.60 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), =( X, 'c_Pair'(
% 1.21/1.60 'c_Datatype__Universe_OScons'( 'c_Main_OdprodE__1'( X, Y, Z, T, U ),
% 1.21/1.60 'c_Main_OdprodE__2'( X, Y, Z, T, U ), T, U ),
% 1.21/1.60 'c_Datatype__Universe_OScons'( 'c_Main_OdprodE__3'( X, Y, Z, T, U ),
% 1.21/1.60 'c_Main_OdprodE__4'( X, Y, Z, T, U ), T, U ), 'tc_set'(
% 1.21/1.60 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.21/1.60 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.21/1.60 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U ), 'tc_prod'(
% 1.21/1.60 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.21/1.60 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 1.21/1.60 'c_Main_OdprodE__2'( X, Y, Z, T, U ), 'c_Main_OdprodE__4'( X, Y, Z, T, U
% 1.21/1.60 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.21/1.60 'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'(
% 1.21/1.60 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.21/1.60 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.21/1.60 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U ), 'tc_prod'(
% 1.21/1.60 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.21/1.60 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 1.21/1.60 'c_Main_OdprodE__1'( X, Y, Z, T, U ), 'c_Main_OdprodE__3'( X, Y, Z, T, U
% 1.21/1.60 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.21/1.60 'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'(
% 1.21/1.60 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.21/1.60 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.21/1.60 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 1.21/1.60 , T ) ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U,
% 1.21/1.60 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.21/1.60 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), ~( 'c_in'( 'c_Pair'( W, V0
% 1.21/1.60 , 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.21/1.60 'tc_Datatype__Universe_Onode'( Z, T ) ) ), V1, 'tc_prod'( 'tc_set'(
% 1.21/1.60 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.21/1.60 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'(
% 1.21/1.60 'c_Datatype__Universe_OScons'( W, X, Z, T ),
% 1.21/1.60 'c_Datatype__Universe_OScons'( V0, Y, Z, T ), 'tc_set'(
% 1.21/1.60 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.21/1.60 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odprod'(
% 1.21/1.60 V1, U, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.21/1.60 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ],
% 1.21/1.60 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'(
% 1.21/1.60 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.21/1.60 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), =( X, 'c_Pair'(
% 1.21/1.60 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__1'( Y, X, T, U ), T, U ),
% 1.21/1.60 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__2'( Y, X, T, U ), T, U ),
% 1.21/1.60 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.21/1.60 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'(
% 1.21/1.60 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__3'( Z, X, T, U ), T, U ),
% 1.21/1.60 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__4'( Z, X, T, U ), T, U ),
% 1.21/1.60 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.21/1.60 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.21/1.60 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'(
% 1.21/1.60 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.21/1.60 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 1.21/1.60 'c_Main_OdsumE__3'( Z, X, T, U ), 'c_Main_OdsumE__4'( Z, X, T, U ),
% 1.21/1.60 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.21/1.60 'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'(
% 1.21/1.60 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.21/1.60 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'(
% 1.21/1.60 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__1'( Y, X, T, U ), T, U ),
% 1.21/1.60 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__2'( Y, X, T, U ), T, U ),
% 1.21/1.60 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.21/1.60 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.21/1.60 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'(
% 1.21/1.60 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.21/1.60 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 1.21/1.60 'c_Main_OdsumE__1'( Y, X, T, U ), 'c_Main_OdsumE__2'( Y, X, T, U ),
% 1.21/1.60 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.21/1.60 'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'(
% 1.21/1.60 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.21/1.60 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'(
% 1.21/1.60 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__3'( Z, X, T, U ), T, U ),
% 1.21/1.60 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__4'( Z, X, T, U ), T, U ),
% 1.21/1.60 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.21/1.60 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.21/1.60 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'(
% 1.21/1.60 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.21/1.60 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 1.21/1.60 'c_Main_OdsumE__1'( Y, X, T, U ), 'c_Main_OdsumE__2'( Y, X, T, U ),
% 1.21/1.60 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.21/1.60 'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'(
% 1.21/1.60 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.21/1.60 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Pair'(
% 1.21/1.60 'c_Main_OdsumE__3'( Z, X, T, U ), 'c_Main_OdsumE__4'( Z, X, T, U ),
% 1.21/1.60 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.21/1.60 'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'(
% 1.21/1.60 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.21/1.60 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.21/1.60 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 1.21/1.60 , T ) ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U,
% 1.21/1.60 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.21/1.60 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'(
% 1.21/1.60 'c_Datatype__Universe_OIn0'( X, Z, T ), 'c_Datatype__Universe_OIn0'( Y, Z
% 1.21/1.60 , T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.21/1.60 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odsum'(
% 1.21/1.60 U, W, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.21/1.60 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ],
% 1.21/1.60 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 1.21/1.60 , T ) ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U,
% 1.21/1.60 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.21/1.60 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'(
% 1.21/1.60 'c_Datatype__Universe_OIn1'( X, Z, T ), 'c_Datatype__Universe_OIn1'( Y, Z
% 1.21/1.60 , T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.21/1.60 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odsum'(
% 1.21/1.60 W, U, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.21/1.60 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ],
% 1.21/1.60 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U ), 'tc_set'(
% 1.21/1.60 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X,
% 1.21/1.60 'c_Datatype__Universe_OScons'( 'c_Main_OuprodE__1'( Y, Z, X, T, U ),
% 1.21/1.60 'c_Main_OuprodE__2'( Y, Z, X, T, U ), T, U ) ) ],
% 1.21/1.60 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U ), 'tc_set'(
% 1.21/1.60 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OuprodE__2'(
% 1.21/1.60 Y, Z, X, T, U ), Z, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ]
% 1.21/1.60 ,
% 1.21/1.60 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U ), 'tc_set'(
% 1.21/1.60 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OuprodE__1'(
% 1.21/1.60 Y, Z, X, T, U ), Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ]
% 1.21/1.60 ,
% 1.21/1.60 [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 1.21/1.60 , ~( 'c_in'( U, W, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 1.21/1.60 , 'c_in'( 'c_Datatype__Universe_OScons'( U, X, Z, T ),
% 1.21/1.60 'c_Datatype__Universe_Ouprod'( W, Y, Z, T ), 'tc_set'(
% 1.21/1.60 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ],
% 1.21/1.60 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'(
% 1.21/1.60 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X,
% 1.21/1.60 'c_Datatype__Universe_OIn0'( 'c_Main_OusumE__1'( Y, X, T, U ), T, U ) ),
% 1.21/1.60 =( X, 'c_Datatype__Universe_OIn1'( 'c_Main_OusumE__2'( Z, X, T, U ), T, U
% 1.21/1.60 ) ) ],
% 1.21/1.60 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'(
% 1.21/1.60 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OusumE__2'(
% 1.21/1.60 Z, X, T, U ), Z, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ), =(
% 1.21/1.60 X, 'c_Datatype__Universe_OIn0'( 'c_Main_OusumE__1'( Y, X, T, U ), T, U )
% 1.21/1.60 ) ],
% 1.21/1.60 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'(
% 1.21/1.60 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OusumE__1'(
% 1.21/1.60 Y, X, T, U ), Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ), =(
% 1.21/1.60 X, 'c_Datatype__Universe_OIn1'( 'c_Main_OusumE__2'( Z, X, T, U ), T, U )
% 1.21/1.60 ) ],
% 1.21/1.60 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'(
% 1.21/1.60 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OusumE__1'(
% 1.21/1.60 Y, X, T, U ), Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ),
% 1.21/1.60 'c_in'( 'c_Main_OusumE__2'( Z, X, T, U ), Z, 'tc_set'(
% 1.21/1.60 'tc_Datatype__Universe_Onode'( T, U ) ) ) ],
% 1.21/1.60 [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 1.21/1.60 , 'c_in'( 'c_Datatype__Universe_OIn0'( X, Z, T ),
% 1.21/1.60 'c_Datatype__Universe_Ousum'( Y, U, Z, T ), 'tc_set'(
% 1.21/1.60 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ],
% 1.21/1.60 [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 1.21/1.60 , 'c_in'( 'c_Datatype__Universe_OIn1'( X, Z, T ),
% 1.21/1.60 'c_Datatype__Universe_Ousum'( U, Y, Z, T ), 'tc_set'(
% 1.21/1.60 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ],
% 1.21/1.60 [ 'c_Divides_Oop_Advd'( X, 'c_0', 'tc_nat' ) ],
% 1.21/1.60 [ 'c_Divides_Oop_Advd'( 'c_Suc'( 'c_0' ), X, 'tc_nat' ) ],
% 1.21/1.60 [ 'c_Divides_Oop_Advd'( X, 'c_times'( X, Y, 'tc_nat' ), 'tc_nat' ) ]
% 1.21/1.60 ,
% 1.21/1.60 [ 'c_Divides_Oop_Advd'( X, 'c_times'( Y, X, 'tc_nat' ), 'tc_nat' ) ]
% 1.21/1.60 ,
% 1.21/1.60 [ ~( =( 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ), 'c_0' ) ), =( X,
% 1.21/1.60 'c_times'( Y, 'c_Main_Omod__eq__0D__dest__1'( Y, X ), 'tc_nat' ) ) ],
% 1.21/1.60 [ 'c_in'( 'c_emptyset', 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ],
% 1.21/1.60 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'(
% 1.21/1.60 'c_insert'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 1.21/1.60 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'(
% 1.21/1.60 'c_inter'( X, Z, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 1.21/1.60 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'(
% 1.21/1.60 'c_inter'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 1.21/1.60 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'( Y ) ) ) )
% 1.21/1.60 , 'c_in'( 'c_Main_Ofinite__Union__1'( X, Y ), X, 'tc_set'( Y ) ), 'c_in'(
% 1.21/1.60 'c_Union'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 1.21/1.60 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'( Y ) ) ) )
% 1.21/1.60 , ~( 'c_in'( 'c_Main_Ofinite__Union__1'( X, Y ), 'c_Finite__Set_OFinites'
% 1.21/1.60 , 'tc_set'( Y ) ) ), 'c_in'( 'c_Union'( X, Y ), 'c_Finite__Set_OFinites'
% 1.21/1.60 , 'tc_set'( Y ) ) ],
% 1.21/1.60 [ 'c_Divides_Oop_Advd'( 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat'
% 1.21/1.60 ) ), X, 'tc_nat' ) ],
% 1.21/1.60 [ 'c_Divides_Oop_Advd'( 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat'
% 1.21/1.60 ) ), Y, 'tc_nat' ) ],
% 1.21/1.60 [ ~( 'c_Infinite__Set_Oatmost__one'( X, Y ) ), ~( 'c_in'( Z, X, Y ) ),
% 1.21/1.60 ~( 'c_in'( T, X, Y ) ), =( Z, T ) ],
% 1.21/1.60 [ 'c_lessequals'( 'c_uminus'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ),
% 1.21/1.60 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ],
% 1.21/1.60 [ 'c_less'( 'c_uminus'( 'c_IntDef_Oint'( 'c_Suc'( X ) ),
% 1.21/1.60 'tc_IntDef_Oint' ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ],
% 1.21/1.60 [ 'c_Divides_Oop_Advd'( X, 'c_0', 'tc_IntDef_Oint' ) ],
% 1.21/1.60 [ 'c_Divides_Oop_Advd'( 'c_1', X, 'tc_IntDef_Oint' ) ],
% 1.21/1.60 [ 'c_Divides_Oop_Advd'( X, 'c_times'( X, Y, 'tc_IntDef_Oint' ),
% 1.21/1.60 'tc_IntDef_Oint' ) ],
% 1.21/1.60 [ 'c_Divides_Oop_Advd'( X, 'c_times'( Y, X, 'tc_IntDef_Oint' ),
% 1.21/1.60 'tc_IntDef_Oint' ) ],
% 1.21/1.60 [ ~( =( 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' ), 'c_0' ) ), =( X
% 1.21/1.60 , 'c_times'( Y, 'c_Main_Ozmod__eq__0D__dest__1'( Y, X ), 'tc_IntDef_Oint'
% 1.21/1.60 ) ) ],
% 1.21/1.60 [ 'c_List_Odistinct'( 'c_List_Oremdups'( X, Y ), Y ) ],
% 1.21/1.60 [ 'c_in'( 'c_List_Oset'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y )
% 1.21/1.60 ) ],
% 1.21/1.60 [ ~( 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ), ~(
% 1.21/1.60 'c_in'( T, 'c_List_Oset'( X, Z ), Z ) ), 'c_in'( T, Y, Z ) ],
% 1.21/1.60 [ 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ), 'c_in'(
% 1.21/1.60 'c_Main_Oin__listsI__1'( Y, X, Z ), 'c_List_Oset'( X, Z ), Z ) ],
% 1.21/1.60 [ ~( 'c_in'( 'c_Main_Oin__listsI__1'( X, Y, Z ), X, Z ) ), 'c_in'( Y,
% 1.21/1.60 'c_List_Olists'( X, Z ), 'tc_List_Olist'( Z ) ) ],
% 1.21/1.60 [ 'c_lessequals'( 'c_Nat_Osize'( 'c_List_Oremdups'( X, Y ),
% 1.21/1.60 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ),
% 1.21/1.60 'tc_nat' ) ],
% 1.21/1.60 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T,
% 1.21/1.60 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ),
% 1.21/1.60 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), =( T,
% 1.21/1.60 'c_List_Olist_OCons'( 'c_Main_Olistrel__Cons1__1'( U, T, X, Y, Z ),
% 1.21/1.60 'c_Main_Olistrel__Cons1__2'( U, T, X, Y, Z ), Z ) ) ],
% 1.21/1.60 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T,
% 1.21/1.60 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ),
% 1.21/1.60 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'(
% 1.21/1.60 'c_Pair'( Y, 'c_Main_Olistrel__Cons1__2'( U, T, X, Y, Z ),
% 1.21/1.60 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ),
% 1.21/1.60 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ],
% 1.21/1.60 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T,
% 1.21/1.60 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ),
% 1.21/1.60 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'(
% 1.21/1.60 'c_Pair'( X, 'c_Main_Olistrel__Cons1__1'( U, T, X, Y, Z ), Z, Z ), U,
% 1.21/1.60 'tc_prod'( Z, Z ) ) ],
% 1.21/1.60 [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ),
% 1.21/1.60 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ),
% 1.21/1.60 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), =( X,
% 1.21/1.60 'c_List_Olist_OCons'( 'c_Main_Olistrel__Cons2__1'( U, X, Y, Z, T ),
% 1.21/1.60 'c_Main_Olistrel__Cons2__2'( U, X, Y, Z, T ), T ) ) ],
% 1.21/1.60 [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ),
% 1.21/1.60 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ),
% 1.21/1.60 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), 'c_in'(
% 1.21/1.60 'c_Pair'( 'c_Main_Olistrel__Cons2__2'( U, X, Y, Z, T ), Z,
% 1.21/1.60 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ),
% 1.21/1.60 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ],
% 1.21/1.60 [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ),
% 1.21/1.60 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ),
% 1.21/1.60 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), 'c_in'(
% 1.21/1.60 'c_Pair'( 'c_Main_Olistrel__Cons2__1'( U, X, Y, Z, T ), Y, T, T ), U,
% 1.21/1.60 'tc_prod'( T, T ) ) ],
% 1.21/1.60 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X, 'tc_List_Olist'( Y ),
% 1.21/1.60 'tc_List_Olist'( Y ) ), 'c_List_Olistrel'( Z, Y ), 'tc_prod'(
% 1.21/1.60 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X,
% 1.21/1.60 'c_List_Olist_ONil' ) ],
% 1.21/1.60 [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil', 'tc_List_Olist'( Y ),
% 1.21/1.60 'tc_List_Olist'( Y ) ), 'c_List_Olistrel'( Z, Y ), 'tc_prod'(
% 1.21/1.60 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X,
% 1.21/1.60 'c_List_Olist_ONil' ) ],
% 1.21/1.60 [ ~( 'c_in'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olists'( T, Z ),
% 1.21/1.60 'tc_List_Olist'( Z ) ) ), 'c_in'( Y, 'c_List_Olists'( T, Z ),
% 1.21/1.60 'tc_List_Olist'( Z ) ) ],
% 1.21/1.60 [ ~( 'c_in'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olists'( T, Z ),
% 1.21/1.60 'tc_List_Olist'( Z ) ) ), 'c_in'( X, T, Z ) ],
% 1.21/1.60 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( T, 'c_List_Olists'( Y, Z ),
% 1.21/1.60 'tc_List_Olist'( Z ) ) ), 'c_in'( 'c_List_Olist_OCons'( X, T, Z ),
% 1.21/1.60 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ],
% 1.21/1.60 [ 'c_in'( 'c_List_Olist_ONil', 'c_List_Olists'( X, Y ), 'tc_List_Olist'(
% 1.21/1.60 Y ) ) ],
% 1.21/1.60 [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ),
% 1.21/1.60 'c_Wellfounded__Recursion_Owf'( 'c_List_Olenlex'( X, Y ), 'tc_List_Olist'(
% 1.21/1.60 Y ) ) ],
% 1.21/1.60 [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ),
% 1.21/1.60 'c_Wellfounded__Recursion_Owf'( 'c_List_Olex'( X, Y ), 'tc_List_Olist'( Y
% 1.21/1.60 ) ) ],
% 1.21/1.60 [ 'c_lessequals'( 'c_0', X, 'tc_nat' ) ],
% 1.21/1.60 [ 'c_less'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 1.21/1.60 [ ~( 'c_less'( X, X, 'tc_nat' ) ) ],
% 1.21/1.60 [ 'c_less'( 'c_0', 'c_Suc'( X ), 'tc_nat' ) ],
% 1.21/1.60 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.21/1.60 [ ~( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ) ), 'c_in'( 'c_Pair'(
% 1.21/1.60 X, 'c_Main_ODomainE__1'( X, Y, Z, T ), Z, T ), Y, 'tc_prod'( Z, T ) ) ]
% 1.21/1.60 ,
% 1.21/1.60 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'( X
% 1.21/1.60 , 'c_Relation_ODomain'( U, Z, T ), Z ) ],
% 1.21/1.60 [ ~( 'c_in'( X, 'c_Relation_OId', 'tc_prod'( Y, Y ) ) ), =( X, 'c_Pair'(
% 1.21/1.60 'c_Main_OIdE__1'( X, Y ), 'c_Main_OIdE__1'( X, Y ), Y, Y ) ) ],
% 1.21/1.60 [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ), 'c_in'(
% 1.21/1.60 'c_Main_OImageE__1'( Z, X, Y, T, U ), Z, T ) ],
% 1.21/1.60 [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ), 'c_in'(
% 1.21/1.60 'c_Pair'( 'c_Main_OImageE__1'( Z, X, Y, T, U ), X, T, U ), Y, 'tc_prod'(
% 1.21/1.60 T, U ) ) ],
% 1.21/1.60 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( 'c_Pair'( X, T, Z, U ), W,
% 1.21/1.60 'tc_prod'( Z, U ) ) ), 'c_in'( T, 'c_Relation_OImage'( W, Y, Z, U ), U )
% 1.21/1.60 ],
% 1.21/1.60 [ ~( 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ) ), 'c_in'( 'c_Pair'(
% 1.21/1.60 'c_Main_ORangeE__1'( X, Y, T, Z ), X, Z, T ), Y, 'tc_prod'( Z, T ) ) ]
% 1.21/1.60 ,
% 1.21/1.60 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'( Y
% 1.21/1.60 , 'c_Relation_ORange'( U, Z, T ), T ) ],
% 1.21/1.60 [ ~( 'c_in'( X, 'c_Relation_Oconverse'( Y, Z, T ), 'tc_prod'( T, Z ) ) )
% 1.21/1.60 , 'c_in'( 'c_Pair'( 'c_Main_OconverseE__1'( Y, X, Z, T ),
% 1.21/1.60 'c_Main_OconverseE__2'( Y, X, Z, T ), Z, T ), Y, 'tc_prod'( Z, T ) ) ]
% 1.21/1.60 ,
% 1.21/1.60 [ ~( 'c_in'( X, 'c_Relation_Oconverse'( Y, Z, T ), 'tc_prod'( T, Z ) ) )
% 1.21/1.60 , =( X, 'c_Pair'( 'c_Main_OconverseE__2'( Y, X, Z, T ),
% 1.21/1.60 'c_Main_OconverseE__1'( Y, X, Z, T ), T, Z ) ) ],
% 1.21/1.60 [ ~( 'c_in'( X, 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ), =( X
% 1.21/1.60 , 'c_Pair'( 'c_Main_OdiagE__1'( Y, X, Z ), 'c_Main_OdiagE__1'( Y, X, Z )
% 1.21/1.60 , Z, Z ) ) ],
% 1.21/1.60 [ ~( 'c_in'( X, 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ),
% 1.21/1.60 'c_in'( 'c_Main_OdiagE__1'( Y, X, Z ), Y, Z ) ],
% 1.21/1.60 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Pair'( X, X, Z, Z ),
% 1.21/1.60 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ],
% 1.21/1.60 [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 'tc_prod'( W,
% 1.21/1.60 U ) ) ), 'c_in'( 'c_Pair'( 'c_Main_Orel__compE__2'( Y, Z, X, T, U, W ),
% 1.21/1.60 'c_Main_Orel__compE__3'( Y, Z, X, T, U, W ), T, U ), Y, 'tc_prod'( T, U )
% 1.21/1.60 ) ],
% 1.21/1.60 [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 'tc_prod'( W,
% 1.21/1.60 U ) ) ), 'c_in'( 'c_Pair'( 'c_Main_Orel__compE__1'( Y, Z, X, T, U, W ),
% 1.21/1.60 'c_Main_Orel__compE__2'( Y, Z, X, T, U, W ), W, T ), Z, 'tc_prod'( W, T )
% 1.21/1.60 ) ],
% 1.21/1.60 [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 'tc_prod'( W,
% 1.21/1.60 U ) ) ), =( X, 'c_Pair'( 'c_Main_Orel__compE__1'( Y, Z, X, T, U, W ),
% 1.21/1.60 'c_Main_Orel__compE__3'( Y, Z, X, T, U, W ), W, U ) ) ],
% 1.21/1.60 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), ~( 'c_in'(
% 1.21/1.60 'c_Pair'( W, X, V0, Z ), V1, 'tc_prod'( V0, Z ) ) ), 'c_in'( 'c_Pair'( W
% 1.21/1.60 , Y, V0, T ), 'c_Relation_Orel__comp'( U, V1, Z, T, V0 ), 'tc_prod'( V0,
% 1.21/1.60 T ) ) ],
% 1.21/1.60 [ 'c_in'( 'c_SetInterval_OatLeastAtMost'( X, Y, 'tc_nat' ),
% 1.21/1.60 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 1.21/1.60 [ 'c_in'( 'c_SetInterval_OatLeastAtMost'( X, Y, 'tc_IntDef_Oint' ),
% 1.21/1.60 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 1.21/1.60 [ 'c_in'( 'c_SetInterval_OatLeastLessThan'( X, Y, 'tc_nat' ),
% 1.21/1.60 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 1.21/1.60 [ 'c_in'( 'c_SetInterval_OatLeastLessThan'( X, Y, 'tc_IntDef_Oint' ),
% 1.21/1.60 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 1.21/1.60 [ 'c_in'( 'c_SetInterval_OatMost'( X, 'tc_nat' ),
% 1.21/1.60 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 1.21/1.60 [ 'c_in'( 'c_SetInterval_OgreaterThanAtMost'( X, Y, 'tc_nat' ),
% 1.21/1.60 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 1.21/1.60 [ 'c_in'( 'c_SetInterval_OgreaterThanAtMost'( X, Y, 'tc_IntDef_Oint' ),
% 1.21/1.60 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 1.21/1.60 [ 'c_in'( 'c_SetInterval_OgreaterThanLessThan'( X, Y, 'tc_nat' ),
% 1.21/1.60 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 1.21/1.60 [ 'c_in'( 'c_SetInterval_OgreaterThanLessThan'( X, Y, 'tc_IntDef_Oint' )
% 1.21/1.60 , 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 1.21/1.60 [ 'c_in'( 'c_SetInterval_OlessThan'( X, 'tc_nat' ),
% 1.21/1.60 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 1.21/1.60 [ 'c_in'( X, 'c_Inter'( Y, Z ), Z ), 'c_in'( 'c_Main_OInterI__1'( X, Y,
% 1.21/1.60 Z ), Y, 'tc_set'( Z ) ) ],
% 1.21/1.60 [ ~( 'c_in'( X, 'c_Main_OInterI__1'( X, Y, Z ), Z ) ), 'c_in'( X,
% 1.21/1.60 'c_Inter'( Y, Z ), Z ) ],
% 1.21/1.60 [ 'c_in'( X, 'c_UNIV', Y ) ],
% 1.21/1.60 [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( 'c_Main_OUnionE__1'( X
% 1.21/1.60 , Y, Z ), Y, 'tc_set'( Z ) ) ],
% 1.21/1.60 [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( X, 'c_Main_OUnionE__1'(
% 1.21/1.60 X, Y, Z ), Z ) ],
% 1.21/1.60 [ 'c_lessequals'( 'c_emptyset', X, 'tc_set'( Y ) ) ],
% 1.21/1.60 [ ~( 'c_less'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( Y, X,
% 1.21/1.60 'tc_set'( Z ) ) ) ],
% 1.21/1.60 [ ~( 'c_less'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( X, Y, 'tc_set'(
% 1.21/1.60 Z ) ) ],
% 1.21/1.60 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_less'( X, Y, 'tc_set'(
% 1.21/1.60 Z ) ), =( X, Y ) ],
% 1.21/1.60 [ ~( 'c_in'( X, 'c_insert'( Y, 'c_emptyset', Z ), Z ) ), =( X, Y ) ]
% 1.21/1.60 ,
% 1.21/1.60 [ 'c_in'( X, 'c_insert'( X, 'c_emptyset', Y ), Y ) ],
% 1.21/1.60 [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, 'c_emptyset', Y
% 1.21/1.60 ) ) ), =( X, Z ) ],
% 1.21/1.60 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ),
% 1.21/1.60 'c_in'( X, T, Z ) ],
% 1.21/1.60 [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ), 'c_lessequals'( X, Y
% 1.21/1.60 , 'tc_set'( Z ) ) ],
% 1.21/1.60 [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ), 'c_lessequals'(
% 1.21/1.60 X, Y, 'tc_set'( Z ) ) ],
% 1.21/1.60 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( Y, X,
% 1.21/1.60 'tc_set'( Z ) ) ), =( Y, X ) ],
% 1.21/1.60 [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ],
% 1.21/1.60 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Sum__Type_OInl'( X, Z, T ),
% 1.21/1.60 'c_Sum__Type_OPlus'( Y, U, Z, T ), 'tc_sum'( Z, T ) ) ],
% 1.21/1.60 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Sum__Type_OInr'( X, Z, T ),
% 1.21/1.60 'c_Sum__Type_OPlus'( U, Y, T, Z ), 'tc_sum'( T, Z ) ) ],
% 1.21/1.60 [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( T, U ) ) )
% 1.21/1.60 , =( X, 'c_Sum__Type_OInl'( 'c_Main_OPlusE__1'( Y, X, T, U ), T, U ) ),
% 1.21/1.60 =( X, 'c_Sum__Type_OInr'( 'c_Main_OPlusE__2'( Z, X, U, T ), U, T ) ) ]
% 1.21/1.60 ,
% 1.21/1.60 [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( T, U ) ) )
% 1.21/1.60 , 'c_in'( 'c_Main_OPlusE__2'( Z, X, U, T ), Z, U ), =( X,
% 1.21/1.60 'c_Sum__Type_OInl'( 'c_Main_OPlusE__1'( Y, X, T, U ), T, U ) ) ],
% 1.21/1.60 [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( T, U ) ) )
% 1.21/1.60 , 'c_in'( 'c_Main_OPlusE__1'( Y, X, T, U ), Y, T ), =( X,
% 1.21/1.60 'c_Sum__Type_OInr'( 'c_Main_OPlusE__2'( Z, X, U, T ), U, T ) ) ],
% 1.21/1.60 [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( T, U ) ) )
% 1.21/1.60 , 'c_in'( 'c_Main_OPlusE__1'( Y, X, T, U ), Y, T ), 'c_in'(
% 1.21/1.60 'c_Main_OPlusE__2'( Z, X, U, T ), Z, U ) ],
% 1.21/1.60 [ ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ), 'c_in'( X,
% 1.21/1.60 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) ) ],
% 1.21/1.60 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Transitive__Closure_Ortrancl'( Z, Y
% 1.21/1.60 ), 'tc_prod'( Y, Y ) ) ],
% 1.21/1.60 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), 'c_in'(
% 1.21/1.60 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ),
% 1.21/1.60 'tc_prod'( Z, Z ) ) ],
% 1.21/1.60 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T
% 1.21/1.60 , Z ), 'tc_prod'( Z, Z ) ) ), 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 1.21/1.60 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ],
% 1.21/1.60 [ 'c_Wellfounded__Recursion_Owf'( 'c_emptyset', X ) ],
% 1.21/1.60 [ 'c_Relation_Otrans'( 'c_Wellfounded__Relations_Oless__than', 'tc_nat'
% 1.21/1.60 ) ],
% 1.21/1.60 [ ~( 'c_Relation_Otrans'( X, Y ) ), ~( 'c_Relation_Otrans'( Z, T ) ),
% 1.21/1.60 'c_Relation_Otrans'( 'c_Wellfounded__Relations_Olex__prod'( Z, X, T, Y )
% 1.21/1.60 , 'tc_prod'( T, Y ) ) ],
% 1.21/1.60 [ 'c_Wellfounded__Recursion_Owf'( 'c_Wellfounded__Relations_Oless__than'
% 1.21/1.60 , 'tc_nat' ) ],
% 1.21/1.60 [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), ~(
% 1.21/1.60 'c_Wellfounded__Recursion_Owf'( Z, T ) ), 'c_Wellfounded__Recursion_Owf'(
% 1.21/1.60 'c_Wellfounded__Relations_Olex__prod'( Z, X, T, Y ), 'tc_prod'( T, Y ) )
% 1.21/1.60 ],
% 1.21/1.60 [ 'class_Finite__Set_Ofinite'( 'tc_Datatype_Ooption'( X ) ), ~(
% 1.21/1.60 'class_Finite__Set_Ofinite'( X ) ) ],
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% 1.21/1.60 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_IntDef_Oint' ) ],
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% 1.21/1.60 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_IntDef_Oint' ) ],
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% 1.21/1.60 ,
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% 1.21/1.60 ,
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% 1.21/1.60 [ 'class_Ring__and__Field_Oring'( 'tc_IntDef_Oint' ) ],
% 1.21/1.60 [ 'class_HOL_Oplus'( 'tc_IntDef_Oint' ) ],
% 1.21/1.60 [ 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 'tc_IntDef_Oint'
% 1.21/1.60 ) ],
% 1.21/1.60 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_IntDef_Oint' ) ],
% 1.21/1.60 [ 'class_Ring__and__Field_Oaxclass__0__neq__1'( 'tc_IntDef_Oint' ) ]
% 1.21/1.60 ,
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% 1.21/1.60 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_IntDef_Oint' ) ],
% 1.21/1.60 [ 'class_Orderings_Oorder'( 'tc_IntDef_Oint' ) ],
% 1.21/1.60 [ 'class_LOrder_Omeet__semilorder'( 'tc_IntDef_Oint' ) ],
% 1.21/1.60 [ 'class_LOrder_Ojoin__semilorder'( 'tc_IntDef_Oint' ) ],
% 1.21/1.60 [ 'class_LOrder_Olorder'( 'tc_IntDef_Oint' ) ],
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% 1.21/1.60 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
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% 1.21/1.60 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.21/1.60 'tc_IntDef_Oint' ) ],
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% 1.21/1.60 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_IntDef_Oint' ) ]
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% 1.21/1.60 ) ],
% 1.21/1.60 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_IntDef_Oint'
% 1.21/1.60 ) ],
% 1.21/1.60 [ 'class_Ring__and__Field_Opordered__comm__semiring'( 'tc_IntDef_Oint' )
% 1.21/1.60 ],
% 1.21/1.60 [ 'class_Ring__and__Field_Opordered__cancel__comm__semiring'(
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% 1.21/1.60 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_IntDef_Oint' ) ]
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% 1.21/1.60 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_IntDef_Oint' ) ],
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% 1.21/1.60 ,
% 1.21/1.60 [ 'class_OrderedGroup_Olordered__ab__group__meet'( 'tc_IntDef_Oint' ) ]
% 1.21/1.60 ,
% 1.21/1.60 [ 'class_OrderedGroup_Olordered__ab__group__join'( 'tc_IntDef_Oint' ) ]
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% 1.21/1.60 [ 'class_Ring__and__Field_Oaxclass__no__zero__divisors'(
% 1.21/1.60 'tc_IntDef_Oint' ) ],
% 1.21/1.60 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_IntDef_Oint' ) ]
% 1.21/1.60 ,
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% 1.21/1.60 [ 'class_OrderedGroup_Osemigroup__add'( 'tc_IntDef_Oint' ) ],
% 1.21/1.60 [ 'class_Numeral_Onumber__ring'( 'tc_IntDef_Oint' ) ],
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% 1.21/1.60 [ 'class_Nat_Opower'( 'tc_IntDef_Oint' ) ],
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% 1.21/1.60 [ 'class_Parity_Oeven__odd'( 'tc_IntDef_Oint' ) ],
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% 1.21/1.60 [ 'class_OrderedGroup_Osemigroup__mult'( 'tc_IntDef_Oint' ) ],
% 1.21/1.60 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_IntDef_Oint' ) ],
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% 1.21/1.60 [ 'class_Finite__Set_Ofinite'( 'tc_bool' ) ],
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% 1.21/1.60 'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 1.21/1.60 ],
% 1.21/1.60 [ 'class_Nat_Opower'( 'tc_fun'( X, Y ) ) ],
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% 1.21/1.60 [ 'class_HOL_Ozero'( 'tc_nat' ) ],
% 1.21/1.60 [ 'class_HOL_Oplus'( 'tc_nat' ) ],
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% 1.21/1.60 [ 'class_OrderedGroup_Osemigroup__add'( 'tc_nat' ) ],
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% 1.21/1.60 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 1.21/1.60 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
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% 1.21/1.60 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
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% 1.21/1.60 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
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% 1.21/1.60 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
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% 1.21/1.60 ],
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% 1.21/1.60 ) ],
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% 1.21/1.60 ],
% 1.21/1.60 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
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% 1.21/1.60 ,
% 1.21/1.60 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 1.21/1.60 [ 'class_LOrder_Omeet__semilorder'( 'tc_nat' ) ],
% 1.21/1.60 [ 'class_Ring__and__Field_Opordered__comm__semiring'( 'tc_nat' ) ],
% 1.21/1.60 [ 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( 'tc_nat' )
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% 1.21/1.60 [ 'class_Numeral_Onumber'( 'tc_nat' ) ],
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% 1.21/1.60 [ 'class_Wellfounded__Recursion_Owellorder'( 'tc_nat' ) ],
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% 1.21/1.60 'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 1.21/1.60 ],
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% 1.21/1.60 'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 1.21/1.60 ],
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% 1.21/1.60 [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_HOL_Ominus'( X ) ]
% 1.21/1.60 ,
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% 1.21/1.60 ,
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% 1.21/1.60 ],
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% 1.21/1.60 ) ],
% 1.21/1.60 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 1.21/1.60 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
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% 1.21/1.60 ],
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% 1.21/1.60 'class_HOL_Oplus'( X ) ],
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% 1.21/1.60 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
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% 1.21/1.60 'class_OrderedGroup_Osemigroup__add'( X ) ],
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% 1.21/1.60 'class_HOL_Oplus'( X ) ],
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% 1.21/1.60 X ) ],
% 1.21/1.60 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.21/1.60 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.21/1.60 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.21/1.60 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.21/1.60 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'class_HOL_Oplus'(
% 1.21/1.60 X ) ],
% 1.21/1.60 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 'class_HOL_Oone'(
% 1.21/1.60 X ) ],
% 1.21/1.60 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 1.21/1.60 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.21/1.60 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 1.21/1.60 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.21/1.60 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 'class_HOL_Otimes'(
% 1.21/1.60 X ) ],
% 1.21/1.60 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 1.21/1.60 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.21/1.60 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.21/1.60 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.21/1.60 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.21/1.60 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.21/1.60 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.21/1.60 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.21/1.60 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.21/1.60 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.21/1.60 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.21/1.60 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.21/1.60 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.21/1.60 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.21/1.60 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 'class_HOL_Oplus'(
% 1.21/1.60 X ) ],
% 1.21/1.60 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.21/1.60 'class_LOrder_Olorder'( X ) ],
% 1.21/1.60 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.21/1.60 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.21/1.60 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.21/1.60 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.21/1.60 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.21/1.60 'class_HOL_Ominus'( X ) ],
% 1.21/1.60 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.21/1.60 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.21/1.60 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 'class_HOL_Ozero'(
% 1.21/1.60 X ) ],
% 1.21/1.60 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.21/1.60 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.21/1.60 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.21/1.60 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.21/1.60 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.21/1.60 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.21/1.60 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.21/1.60 'class_Orderings_Oorder'( X ) ],
% 1.21/1.60 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.21/1.60 'class_Orderings_Oord'( X ) ],
% 1.21/1.60 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.21/1.60 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 1.21/1.60 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.21/1.60 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.21/1.60 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.21/1.60 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.21/1.60 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.21/1.60 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.21/1.60 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.21/1.60 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.21/1.60 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.21/1.60 'class_HOL_Oplus'( X ) ],
% 1.21/1.60 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.21/1.60 'class_LOrder_Olorder'( X ) ],
% 1.21/1.60 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.21/1.60 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.21/1.60 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.21/1.60 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.21/1.60 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.21/1.60 'class_Orderings_Oorder'( X ) ],
% 1.21/1.60 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.21/1.60 'class_Orderings_Oord'( X ) ],
% 1.21/1.60 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.21/1.60 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.21/1.60 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.21/1.60 'class_HOL_Ominus'( X ) ],
% 1.21/1.60 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.21/1.60 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.21/1.60 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.21/1.60 'class_HOL_Ozero'( X ) ],
% 1.21/1.60 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.21/1.60 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.21/1.61 'class_HOL_Oplus'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.21/1.61 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.21/1.61 'class_LOrder_Olorder'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.21/1.61 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.21/1.61 'class_HOL_Ominus'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.21/1.61 'class_HOL_Ozero'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.21/1.61 'class_Orderings_Oorder'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.21/1.61 'class_Orderings_Oord'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.21/1.61 'class_HOL_Oplus'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.21/1.61 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.21/1.61 'class_LOrder_Olorder'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.21/1.61 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.21/1.61 'class_HOL_Ominus'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.21/1.61 'class_HOL_Ozero'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.21/1.61 'class_Orderings_Oorder'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.21/1.61 'class_Orderings_Oord'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), 'class_HOL_Oone'( X ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), 'class_HOL_Otimes'( X )
% 1.21/1.61 ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.21/1.61 'class_LOrder_Olorder'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.21/1.61 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.21/1.61 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.21/1.61 'class_Orderings_Oorder'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.21/1.61 'class_Orderings_Oord'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.21/1.61 'class_HOL_Oplus'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.21/1.61 'class_Orderings_Olinorder'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.21/1.61 'class_HOL_Ominus'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.21/1.61 'class_Orderings_Oorder'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.21/1.61 'class_Orderings_Oord'( X ) ],
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% 1.21/1.61 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.21/1.61 'class_HOL_Ozero'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.21/1.61 'class_HOL_Oplus'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.21/1.61 'class_Orderings_Oorder'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.21/1.61 'class_Orderings_Oord'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.21/1.61 'class_HOL_Oplus'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.21/1.61 , 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.21/1.61 , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.21/1.61 , 'class_Orderings_Oorder'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.21/1.61 , 'class_Orderings_Oord'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.21/1.61 , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.21/1.61 , 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.21/1.61 , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.21/1.61 , 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.21/1.61 , 'class_HOL_Oplus'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.21/1.61 'class_Orderings_Oorder'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.21/1.61 'class_Orderings_Oord'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.21/1.61 'class_HOL_Oplus'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.21/1.61 [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), 'class_HOL_Oplus'( X )
% 1.21/1.61 ],
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% 1.21/1.61 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
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% 1.21/1.61 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
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% 1.21/1.61 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.21/1.61 'class_HOL_Otimes'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.61 'class_Ring__and__Field_Ofield'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.61 'class_HOL_Oinverse'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.61 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.61 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.61 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.61 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Oone'(
% 1.21/1.61 X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.61 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.61 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.61 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.61 'class_Ring__and__Field_Oidom'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.61 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.61 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.61 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.61 'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Oplus'(
% 1.21/1.61 X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.61 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Ozero'(
% 1.21/1.61 X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Otimes'(
% 1.21/1.61 X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.61 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.61 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.61 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.61 'class_Ring__and__Field_Oordered__ring__strict'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.61 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.61 'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.61 'class_Orderings_Olinorder'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.61 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.61 'class_Ring__and__Field_Olordered__ring'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.61 'class_Ring__and__Field_Opordered__ring'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.61 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.61 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Olordered__ab__group__join'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.61 'class_Ring__and__Field_Oring__1'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.61 'class_LOrder_Olorder'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.61 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.61 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.61 'class_Orderings_Oorder'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.61 'class_Orderings_Oord'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.61 'class_Ring__and__Field_Oring'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.61 'class_Ring__and__Field_Oordered__semidom'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Ominus'(
% 1.21/1.61 X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.21/1.61 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.61 'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.61 'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.61 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.61 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Oone'( X
% 1.21/1.61 ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.61 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.61 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.61 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.61 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.61 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.61 'class_Ring__and__Field_Oring__1'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.61 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Otimes'(
% 1.21/1.61 X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Ozero'(
% 1.21/1.61 X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Oplus'(
% 1.21/1.61 X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.61 'class_Ring__and__Field_Oring'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.61 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.61 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.61 'class_Orderings_Olinorder'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.61 'class_LOrder_Olorder'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.61 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.61 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.61 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.61 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.61 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.61 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.61 'class_Orderings_Oorder'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.61 'class_Orderings_Oord'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.61 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.61 'class_Ring__and__Field_Oordered__ring__strict'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.61 'class_Ring__and__Field_Olordered__ring'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.61 'class_Ring__and__Field_Opordered__ring'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Ominus'(
% 1.21/1.61 X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Olordered__ab__group__join'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.61 'class_Ring__and__Field_Oordered__semidom'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.61 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.61 'class_Ring__and__Field_Oidom'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.61 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.61 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.21/1.61 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.21/1.61 'class_Ring__and__Field_Oring'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.21/1.61 'class_HOL_Oplus'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.21/1.61 'class_HOL_Ozero'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.21/1.61 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.21/1.61 'class_Orderings_Olinorder'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.21/1.61 'class_LOrder_Olorder'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.21/1.61 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.21/1.61 'class_HOL_Ominus'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.21/1.61 'class_LOrder_Omeet__semilorder'( X ) ],
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% 1.21/1.61 'class_Ring__and__Field_Opordered__semiring'( X ) ],
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% 1.21/1.61 'class_Orderings_Oord'( X ) ],
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% 1.21/1.61 'class_HOL_Ominus'( X ) ],
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% 1.21/1.61 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
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% 1.21/1.61 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.21/1.61 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
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% 1.21/1.61 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.21/1.61 'class_Orderings_Oorder'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.21/1.61 'class_Orderings_Oord'( X ) ],
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% 1.21/1.61 'class_Ring__and__Field_Osemiring'( X ) ],
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% 1.21/1.61 'class_HOL_Otimes'( X ) ],
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% 1.21/1.61 X ) ],
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% 1.21/1.61 X ) ],
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% 1.21/1.61 'class_Ring__and__Field_Opordered__semiring'( X ) ],
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% 1.21/1.61 X ) ],
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% 1.21/1.61 X ) ],
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% 1.21/1.61 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.21/1.61 'class_Orderings_Oorder'( X ) ],
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% 1.21/1.61 'class_Orderings_Oord'( X ) ],
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% 1.21/1.61 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.21/1.61 'class_HOL_Otimes'( X ) ],
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% 1.21/1.61 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
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% 1.21/1.61 ,
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% 1.21/1.61 ,
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% 1.21/1.61 ,
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% 1.21/1.61 ,
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% 1.21/1.61 ,
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% 1.21/1.61 ],
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% 1.21/1.61 'class_HOL_Otimes'( X ) ],
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% 1.21/1.61 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
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% 1.21/1.61 'class_HOL_Oone'( X ) ],
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% 1.21/1.61 'class_OrderedGroup_Osemigroup__mult'( X ) ],
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% 1.21/1.61 'class_HOL_Otimes'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.21/1.61 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.21/1.61 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.21/1.61 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.21/1.61 'class_HOL_Ozero'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.21/1.61 'class_HOL_Oplus'( X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.21/1.61 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.21/1.61 [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 1.21/1.61 'class_Orderings_Oord'( X ) ],
% 1.21/1.61 [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 1.21/1.61 'class_Orderings_Oorder'( X ) ],
% 1.21/1.61 [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 1.21/1.61 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.21/1.61 [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 1.21/1.61 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.21/1.61 [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 1.21/1.61 'class_LOrder_Olorder'( X ) ],
% 1.21/1.61 [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 1.21/1.61 'class_Orderings_Olinorder'( X ) ],
% 1.21/1.61 [ =( 'c_Binomial_Obinomial'( 'c_0', 'c_Suc'( X ) ), 'c_0' ) ],
% 1.21/1.61 [ =( 'c_Binomial_Obinomial'( X, 'c_Suc'( 'c_0' ) ), X ) ],
% 1.21/1.61 [ =( 'c_Binomial_Obinomial'( 'c_Suc'( X ), 'c_Suc'( Y ) ), 'c_plus'(
% 1.21/1.61 'c_Binomial_Obinomial'( X, Y ), 'c_Binomial_Obinomial'( X, 'c_Suc'( Y ) )
% 1.21/1.61 , 'tc_nat' ) ) ],
% 1.21/1.61 [ =( 'c_Binomial_Obinomial'( 'c_Suc'( X ), X ), 'c_Suc'( X ) ) ],
% 1.21/1.61 [ =( 'c_Binomial_Obinomial'( X, 'c_0' ), 'c_1' ) ],
% 1.21/1.61 [ =( 'c_Binomial_Obinomial'( X, X ), 'c_1' ) ],
% 1.21/1.61 [ ~( 'c_in'( X, 'c_Datatype_Oo2s'( Y, Z ), Z ) ), =( Y,
% 1.21/1.61 'c_Datatype_Ooption_OSome'( X, Z ) ) ],
% 1.21/1.61 [ 'c_in'( X, 'c_Datatype_Oo2s'( 'c_Datatype_Ooption_OSome'( X, Y ), Y )
% 1.21/1.61 , Y ) ],
% 1.21/1.61 [ =( X, 'c_Datatype_Ooption_ONone' ), =( X, 'c_Datatype_Ooption_OSome'(
% 1.21/1.61 'c_Main_Onot__None__eq__1'( X, Y ), Y ) ) ],
% 1.21/1.61 [ =( X, 'c_Datatype_Ooption_ONone' ), =( X, 'c_Datatype_Ooption_OSome'(
% 1.21/1.61 'c_Main_Onot__Some__eq__1'( X, Y ), Y ) ) ],
% 1.21/1.61 [ =( 'c_Datatype_Oo2s'( 'c_Datatype_Ooption_OSome'( X, Y ), Y ),
% 1.21/1.61 'c_insert'( X, 'c_emptyset', Y ) ) ],
% 1.21/1.61 [ ~( =( 'c_Datatype_Oo2s'( X, Y ), 'c_emptyset' ) ), =( X,
% 1.21/1.61 'c_Datatype_Ooption_ONone' ) ],
% 1.21/1.61 [ =( 'c_Datatype_Oo2s'( 'c_Datatype_Ooption_ONone', X ), 'c_emptyset' )
% 1.21/1.61 ],
% 1.21/1.61 [ ~( =( 'c_Datatype_Ooption_ONone', 'c_Datatype_Ooption_OSome'( X, Y ) )
% 1.21/1.61 ) ],
% 1.21/1.61 [ ~( =( 'c_Datatype_Ooption_OSome'( X, Y ), 'c_Datatype_Ooption_ONone' )
% 1.21/1.61 ) ],
% 1.21/1.61 [ ~( =( 'c_Datatype_Ooption_OSome'( X, Y ), 'c_Datatype_Ooption_OSome'(
% 1.21/1.61 Z, Y ) ) ), =( X, Z ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_Datatype_Ooption_ONone', 'tc_Datatype_Ooption'( X
% 1.21/1.61 ) ), 'c_0' ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_Datatype_Ooption_OSome'( X, Y ),
% 1.21/1.61 'tc_Datatype_Ooption'( Y ) ), 'c_0' ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_Pair'( X, Y, Z, T ), 'tc_prod'( Z, T ) ), 'c_0' )
% 1.21/1.61 ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_Sum__Type_OInl'( X, Y, Z ), 'tc_sum'( Y, Z ) ),
% 1.21/1.61 'c_0' ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_Sum__Type_OInr'( X, Y, Z ), 'tc_sum'( Z, Y ) ),
% 1.21/1.61 'c_0' ) ],
% 1.21/1.61 [ =( 'c_Datatype_Othe'( 'c_Datatype_Ooption_OSome'( X, Y ), Y ), X ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ =( 'c_Datatype_Ounit_Ounit__case'( X, 'c_Product__Type_OUnity', Y ), X
% 1.21/1.61 ) ],
% 1.21/1.61 [ =( 'c_Datatype_Ounit_Ounit__rec'( X, 'c_Product__Type_OUnity', Y ), X
% 1.21/1.61 ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_Product__Type_OUnity', 'tc_Product__Type_Ounit' )
% 1.21/1.61 , 'c_0' ) ],
% 1.21/1.61 [ ~( =( 'c_Datatype__Universe_OAtom'( X, Y, Z ),
% 1.21/1.61 'c_Datatype__Universe_OAtom'( T, Y, Z ) ) ), =( X, T ) ],
% 1.21/1.61 [ ~( =( 'c_Datatype__Universe_OAtom'( X, Y, Z ),
% 1.21/1.61 'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ],
% 1.21/1.61 [ =( 'c_Relation_ODomain'( 'c_Datatype__Universe_Odprod'( X, Y, Z, T ),
% 1.21/1.61 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.21/1.61 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Ouprod'(
% 1.21/1.61 'c_Relation_ODomain'( X, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.21/1.61 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ),
% 1.21/1.61 'c_Relation_ODomain'( Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.21/1.61 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), Z, T ) ) ],
% 1.21/1.61 [ =( 'c_Relation_ODomain'( 'c_Datatype__Universe_Odsum'( X, Y, Z, T ),
% 1.21/1.61 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.21/1.61 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Ousum'(
% 1.21/1.61 'c_Relation_ODomain'( X, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.21/1.61 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ),
% 1.21/1.61 'c_Relation_ODomain'( Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.21/1.61 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), Z, T ) ) ],
% 1.21/1.61 [ ~( =( 'c_Datatype__Universe_OIn0'( X, Y, Z ),
% 1.21/1.61 'c_Datatype__Universe_OIn0'( T, Y, Z ) ) ), =( X, T ) ],
% 1.21/1.61 [ ~( =( 'c_Datatype__Universe_OIn0'( X, Y, Z ),
% 1.21/1.61 'c_Datatype__Universe_OIn1'( T, Y, Z ) ) ) ],
% 1.21/1.61 [ ~( =( 'c_Datatype__Universe_OIn1'( X, Y, Z ),
% 1.21/1.61 'c_Datatype__Universe_OIn1'( T, Y, Z ) ) ), =( X, T ) ],
% 1.21/1.61 [ ~( =( 'c_Datatype__Universe_OIn1'( X, Y, Z ),
% 1.21/1.61 'c_Datatype__Universe_OIn0'( T, Y, Z ) ) ) ],
% 1.21/1.61 [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ),
% 1.21/1.61 'c_Datatype__Universe_ONumb'( T, Y, Z ) ) ) ],
% 1.21/1.61 [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ),
% 1.21/1.61 'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ],
% 1.21/1.61 [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ),
% 1.21/1.61 'c_Datatype__Universe_OLeaf'( T, Y, Z ) ) ) ],
% 1.21/1.61 [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ),
% 1.21/1.61 'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ],
% 1.21/1.61 [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 1.21/1.61 'c_Datatype__Universe_OScons'( U, W, Z, T ) ) ), =( X, U ) ],
% 1.21/1.61 [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 1.21/1.61 'c_Datatype__Universe_OScons'( U, W, Z, T ) ) ), =( Y, W ) ],
% 1.21/1.61 [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 1.21/1.61 'c_Datatype__Universe_OAtom'( U, Z, T ) ) ) ],
% 1.21/1.61 [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 1.21/1.61 'c_Datatype__Universe_OLeaf'( U, Z, T ) ) ) ],
% 1.21/1.61 [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 1.21/1.61 'c_Datatype__Universe_ONumb'( U, Z, T ) ) ) ],
% 1.21/1.61 [ =( 'c_Datatype__Universe_Ontrunc'( 'c_0', X, Y, Z ), 'c_emptyset' ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X ),
% 1.21/1.61 'c_Datatype__Universe_OAtom'( Y, Z, T ), Z, T ),
% 1.21/1.61 'c_Datatype__Universe_OAtom'( Y, Z, T ) ) ],
% 1.21/1.61 [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( 'c_Suc'( X ) ),
% 1.21/1.61 'c_Datatype__Universe_OIn0'( Y, Z, T ), Z, T ),
% 1.21/1.61 'c_Datatype__Universe_OIn0'( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X )
% 1.21/1.61 , Y, Z, T ), Z, T ) ) ],
% 1.21/1.61 [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( 'c_Suc'( X ) ),
% 1.21/1.61 'c_Datatype__Universe_OIn1'( Y, Z, T ), Z, T ),
% 1.21/1.61 'c_Datatype__Universe_OIn1'( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X )
% 1.21/1.61 , Y, Z, T ), Z, T ) ) ],
% 1.21/1.61 [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X ),
% 1.21/1.61 'c_Datatype__Universe_OLeaf'( Y, Z, T ), Z, T ),
% 1.21/1.61 'c_Datatype__Universe_OLeaf'( Y, Z, T ) ) ],
% 1.21/1.61 [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X ),
% 1.21/1.61 'c_Datatype__Universe_ONumb'( Y, Z, T ), Z, T ),
% 1.21/1.61 'c_Datatype__Universe_ONumb'( Y, Z, T ) ) ],
% 1.21/1.61 [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X ),
% 1.21/1.61 'c_Datatype__Universe_OScons'( Y, Z, T, U ), T, U ),
% 1.21/1.61 'c_Datatype__Universe_OScons'( 'c_Datatype__Universe_Ontrunc'( X, Y, T, U
% 1.21/1.61 ), 'c_Datatype__Universe_Ontrunc'( X, Z, T, U ), T, U ) ) ],
% 1.21/1.61 [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( 'c_0' ),
% 1.21/1.61 'c_Datatype__Universe_OIn0'( X, Y, Z ), Y, Z ), 'c_emptyset' ) ],
% 1.21/1.61 [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( 'c_0' ),
% 1.21/1.61 'c_Datatype__Universe_OIn1'( X, Y, Z ), Y, Z ), 'c_emptyset' ) ],
% 1.21/1.61 [ =( 'c_div'( X, 'c_0', 'tc_nat' ), 'c_0' ) ],
% 1.21/1.61 [ =( 'c_Divides_Oop_Amod'( X, 'c_0', 'tc_nat' ), X ) ],
% 1.21/1.61 [ =( 'c_div'( 'c_0', X, 'tc_nat' ), 'c_0' ) ],
% 1.21/1.61 [ =( 'c_div'( X, 'c_Suc'( 'c_0' ), 'tc_nat' ), X ) ],
% 1.21/1.61 [ 'c_lessequals'( 'c_div'( X, Y, 'tc_nat' ), X, 'tc_nat' ) ],
% 1.21/1.61 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_div'( X, Y, 'tc_nat' ), 'c_0' )
% 1.21/1.61 ],
% 1.21/1.61 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), ~( 'c_less'( 'c_1', Y, 'tc_nat' )
% 1.21/1.61 ), 'c_less'( 'c_div'( X, Y, 'tc_nat' ), X, 'tc_nat' ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 'c_times'( X, Y,
% 1.21/1.61 'tc_nat' ), 'c_times'( X, Z, 'tc_nat' ), 'tc_nat' ), 'c_div'( Y, Z,
% 1.21/1.61 'tc_nat' ) ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 'c_times'( Y, X,
% 1.21/1.61 'tc_nat' ), 'c_times'( Z, X, 'tc_nat' ), 'tc_nat' ), 'c_div'( Y, Z,
% 1.21/1.61 'tc_nat' ) ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 'c_plus'( Y,
% 1.21/1.61 'c_times'( Z, X, 'tc_nat' ), 'tc_nat' ), X, 'tc_nat' ), 'c_plus'( Z,
% 1.21/1.61 'c_div'( Y, X, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 'c_times'( X, Y,
% 1.21/1.61 'tc_nat' ), X, 'tc_nat' ), Y ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 'c_plus'( Y,
% 1.21/1.61 'c_times'( X, Z, 'tc_nat' ), 'tc_nat' ), X, 'tc_nat' ), 'c_plus'( Z,
% 1.21/1.61 'c_div'( Y, X, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 'c_times'( Y, X,
% 1.21/1.61 'tc_nat' ), X, 'tc_nat' ), Y ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( X, X, 'tc_nat' ),
% 1.21/1.61 'c_1' ) ],
% 1.21/1.61 [ ~( 'c_Divides_Oop_Advd'( 'c_0', X, 'tc_nat' ) ), =( X, 'c_0' ) ],
% 1.21/1.61 [ 'c_Divides_Oop_Advd'( 'c_0', 'c_0', 'tc_nat' ) ],
% 1.21/1.61 [ ~( 'c_Divides_Oop_Advd'( X, 'c_Suc'( 'c_0' ), 'tc_nat' ) ), =( X,
% 1.21/1.61 'c_Suc'( 'c_0' ) ) ],
% 1.21/1.61 [ 'c_Divides_Oop_Advd'( 'c_Suc'( 'c_0' ), 'c_Suc'( 'c_0' ), 'tc_nat' ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ 'c_Divides_Oop_Advd'( X, X, 'tc_nat' ) ],
% 1.21/1.61 [ =( 'c_Divides_Oop_Amod'( 'c_0', X, 'tc_nat' ), 'c_0' ) ],
% 1.21/1.61 [ =( 'c_Divides_Oop_Amod'( X, 'c_Suc'( 'c_0' ), 'tc_nat' ), 'c_0' ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, Y, 'tc_nat' ), X, 'tc_nat' ),
% 1.21/1.61 'c_Divides_Oop_Amod'( Y, X, 'tc_nat' ) ) ],
% 1.21/1.61 [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, Y, 'tc_nat' ), Y, 'tc_nat' ),
% 1.21/1.61 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ) ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_lessequals'(
% 1.21/1.61 'c_Divides_Oop_Amod'( Y, X, 'tc_nat' ), X, 'tc_nat' ) ],
% 1.21/1.61 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_Divides_Oop_Amod'( X, Y,
% 1.21/1.61 'tc_nat' ), X ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_Divides_Oop_Amod'( Y
% 1.21/1.61 , X, 'tc_nat' ), X, 'tc_nat' ) ],
% 1.21/1.61 [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, 'c_times'( Y, Z, 'tc_nat' ),
% 1.21/1.61 'tc_nat' ), Z, 'tc_nat' ), 'c_Divides_Oop_Amod'( X, Z, 'tc_nat' ) ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ =( 'c_Divides_Oop_Amod'( 'c_times'( X, Y, 'tc_nat' ), X, 'tc_nat' ),
% 1.21/1.61 'c_0' ) ],
% 1.21/1.61 [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, 'c_times'( Y, Z, 'tc_nat' ),
% 1.21/1.61 'tc_nat' ), Y, 'tc_nat' ), 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ) ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ =( 'c_Divides_Oop_Amod'( 'c_times'( X, Y, 'tc_nat' ), Y, 'tc_nat' ),
% 1.21/1.61 'c_0' ) ],
% 1.21/1.61 [ =( 'c_Divides_Oop_Amod'( X, X, 'tc_nat' ), 'c_0' ) ],
% 1.21/1.61 [ =( 'c_div'( 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ), Y, 'tc_nat' ),
% 1.21/1.61 'c_0' ) ],
% 1.21/1.61 [ =( 'c_Divides_Oop_Amod'( 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ), Y,
% 1.21/1.61 'tc_nat' ), 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ) ) ],
% 1.21/1.61 [ ~( =( 'c_emptyset', 'c_Equiv__Relations_Oquotient'( X, Y, Z ) ) ), =(
% 1.21/1.61 X, 'c_emptyset' ) ],
% 1.21/1.61 [ =( 'c_emptyset', 'c_Equiv__Relations_Oquotient'( 'c_emptyset', X, Y )
% 1.21/1.61 ) ],
% 1.21/1.61 [ ~( =( 'c_Equiv__Relations_Oquotient'( X, Y, Z ), 'c_emptyset' ) ), =(
% 1.21/1.61 X, 'c_emptyset' ) ],
% 1.21/1.61 [ =( 'c_Equiv__Relations_Oquotient'( 'c_emptyset', X, Y ), 'c_emptyset'
% 1.21/1.61 ) ],
% 1.21/1.61 [ =( 'c_Extraction_Osumbool_Osumbool__case'( X, Y,
% 1.21/1.61 'c_Extraction_Osumbool_OLeft', Z ), X ) ],
% 1.21/1.61 [ =( 'c_Extraction_Osumbool_Osumbool__case'( X, Y,
% 1.21/1.61 'c_Extraction_Osumbool_ORight', Z ), Y ) ],
% 1.21/1.61 [ ~( =( 'c_Extraction_Osumbool_OLeft', 'c_Extraction_Osumbool_ORight' )
% 1.21/1.61 ) ],
% 1.21/1.61 [ ~( =( 'c_Extraction_Osumbool_ORight', 'c_Extraction_Osumbool_OLeft' )
% 1.21/1.61 ) ],
% 1.21/1.61 [ =( 'c_Extraction_Osumbool_Osumbool__rec'( X, Y,
% 1.21/1.61 'c_Extraction_Osumbool_OLeft', Z ), X ) ],
% 1.21/1.61 [ =( 'c_Extraction_Osumbool_Osumbool__rec'( X, Y,
% 1.21/1.61 'c_Extraction_Osumbool_ORight', Z ), Y ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_Extraction_Osumbool_OLeft',
% 1.21/1.61 'tc_Extraction_Osumbool' ), 'c_0' ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_Extraction_Osumbool_ORight',
% 1.21/1.61 'tc_Extraction_Osumbool' ), 'c_0' ) ],
% 1.21/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~(
% 1.21/1.61 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_lessequals'( Y
% 1.21/1.61 , 'c_Finite__Set_OMax'( Z, X ), X ), =( Z, 'c_emptyset' ) ],
% 1.21/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.21/1.61 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'( 'c_Finite__Set_OMax'(
% 1.21/1.61 Y, X ), Y, X ), =( Y, 'c_emptyset' ) ],
% 1.21/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.21/1.61 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), =( Y, 'c_emptyset' ), =(
% 1.21/1.61 'c_Finite__Set_OMax'( 'c_insert'( Z, Y, X ), X ), 'c_Orderings_Omax'( Z,
% 1.21/1.61 'c_Finite__Set_OMax'( Y, X ), X ) ) ],
% 1.21/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~(
% 1.21/1.61 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_lessequals'(
% 1.21/1.61 'c_Finite__Set_OMax'( Z, X ), T, X ) ), 'c_lessequals'( Y, T, X ), =( Z,
% 1.21/1.61 'c_emptyset' ) ],
% 1.21/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.21/1.61 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'(
% 1.21/1.61 'c_Main_OMax__le__iff__1'( Y, Z, X ), Y, X ), 'c_lessequals'(
% 1.21/1.61 'c_Finite__Set_OMax'( Y, X ), Z, X ), =( Y, 'c_emptyset' ) ],
% 1.21/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.21/1.61 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_lessequals'(
% 1.21/1.61 'c_Main_OMax__le__iff__1'( Y, Z, X ), Z, X ) ), 'c_lessequals'(
% 1.21/1.61 'c_Finite__Set_OMax'( Y, X ), Z, X ), =( Y, 'c_emptyset' ) ],
% 1.21/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~(
% 1.21/1.61 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_less'(
% 1.21/1.61 'c_Finite__Set_OMax'( Z, X ), T, X ) ), 'c_less'( Y, T, X ), =( Z,
% 1.21/1.61 'c_emptyset' ) ],
% 1.21/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.21/1.61 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'(
% 1.21/1.61 'c_Main_OMax__less__iff__1'( Y, Z, X ), Y, X ), 'c_less'(
% 1.21/1.61 'c_Finite__Set_OMax'( Y, X ), Z, X ), =( Y, 'c_emptyset' ) ],
% 1.21/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.21/1.61 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_less'(
% 1.21/1.61 'c_Main_OMax__less__iff__1'( Y, Z, X ), Z, X ) ), 'c_less'(
% 1.21/1.61 'c_Finite__Set_OMax'( Y, X ), Z, X ), =( Y, 'c_emptyset' ) ],
% 1.21/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_Finite__Set_OMax'(
% 1.21/1.61 'c_insert'( Y, 'c_emptyset', X ), X ), Y ) ],
% 1.21/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~(
% 1.21/1.61 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_lessequals'(
% 1.21/1.61 T, 'c_Finite__Set_OMin'( Z, X ), X ) ), 'c_lessequals'( T, Y, X ), =( Z,
% 1.21/1.61 'c_emptyset' ) ],
% 1.21/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.21/1.61 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'(
% 1.21/1.61 'c_Main_OMin__ge__iff__1'( Y, Z, X ), Y, X ), 'c_lessequals'( Z,
% 1.21/1.61 'c_Finite__Set_OMin'( Y, X ), X ), =( Y, 'c_emptyset' ) ],
% 1.21/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.21/1.61 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_lessequals'( Z,
% 1.21/1.61 'c_Main_OMin__ge__iff__1'( Y, Z, X ), X ) ), 'c_lessequals'( Z,
% 1.21/1.61 'c_Finite__Set_OMin'( Y, X ), X ), =( Y, 'c_emptyset' ) ],
% 1.21/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~(
% 1.21/1.61 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_less'( T,
% 1.21/1.61 'c_Finite__Set_OMin'( Z, X ), X ) ), 'c_less'( T, Y, X ), =( Z,
% 1.21/1.61 'c_emptyset' ) ],
% 1.21/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.21/1.61 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'(
% 1.21/1.61 'c_Main_OMin__gr__iff__1'( Y, Z, X ), Y, X ), 'c_less'( Z,
% 1.21/1.61 'c_Finite__Set_OMin'( Y, X ), X ), =( Y, 'c_emptyset' ) ],
% 1.21/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.21/1.61 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_less'( Z,
% 1.21/1.61 'c_Main_OMin__gr__iff__1'( Y, Z, X ), X ) ), 'c_less'( Z,
% 1.21/1.61 'c_Finite__Set_OMin'( Y, X ), X ), =( Y, 'c_emptyset' ) ],
% 1.21/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.21/1.61 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'( 'c_Finite__Set_OMin'(
% 1.21/1.61 Y, X ), Y, X ), =( Y, 'c_emptyset' ) ],
% 1.21/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.21/1.61 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), =( Y, 'c_emptyset' ), =(
% 1.21/1.61 'c_Finite__Set_OMin'( 'c_insert'( Z, Y, X ), X ), 'c_Orderings_Omin'( Z,
% 1.21/1.61 'c_Finite__Set_OMin'( Y, X ), X ) ) ],
% 1.21/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~(
% 1.21/1.61 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_lessequals'(
% 1.21/1.61 'c_Finite__Set_OMin'( Z, X ), Y, X ), =( Z, 'c_emptyset' ) ],
% 1.21/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_Finite__Set_OMin'(
% 1.21/1.61 'c_insert'( Y, 'c_emptyset', X ), X ), Y ) ],
% 1.21/1.61 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), ~( =(
% 1.21/1.61 'c_Finite__Set_Ocard'( X, Y ), 'c_0' ) ), =( X, 'c_emptyset' ) ],
% 1.21/1.61 [ ~( 'c_in'( 'c_emptyset', 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ),
% 1.21/1.61 =( 'c_Finite__Set_Ocard'( 'c_emptyset', X ), 'c_0' ) ],
% 1.21/1.61 [ =( 'c_Finite__Set_Ocard'( 'c_emptyset', X ), 'c_0' ) ],
% 1.21/1.61 [ 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ), =(
% 1.21/1.61 'c_Finite__Set_Ocard'( X, Y ), 'c_0' ) ],
% 1.21/1.61 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( Z,
% 1.21/1.61 X, Y ), =( 'c_Finite__Set_Ocard'( 'c_insert'( Z, X, Y ), Y ), 'c_Suc'(
% 1.21/1.61 'c_Finite__Set_Ocard'( X, Y ) ) ) ],
% 1.21/1.61 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'(
% 1.21/1.61 'c_minus'( X, Z, 'tc_set'( Y ) ), 'c_Finite__Set_OFinites', 'tc_set'( Y )
% 1.21/1.61 ) ],
% 1.21/1.61 [ ~( 'c_in'( 'c_minus'( X, 'c_insert'( Y, Z, T ), 'tc_set'( T ) ),
% 1.21/1.61 'c_Finite__Set_OFinites', 'tc_set'( T ) ) ), 'c_in'( 'c_minus'( X, Z,
% 1.21/1.61 'tc_set'( T ) ), 'c_Finite__Set_OFinites', 'tc_set'( T ) ) ],
% 1.21/1.61 [ ~( 'c_in'( 'c_minus'( X, Y, 'tc_set'( Z ) ), 'c_Finite__Set_OFinites'
% 1.21/1.61 , 'tc_set'( Z ) ) ), 'c_in'( 'c_minus'( X, 'c_insert'( T, Y, Z ),
% 1.21/1.61 'tc_set'( Z ) ), 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ],
% 1.21/1.61 [ ~( 'c_in'( 'c_Pow'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'(
% 1.21/1.61 'tc_set'( Y ) ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 1.21/1.61 ],
% 1.21/1.61 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'(
% 1.21/1.61 'c_Pow'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'( Y ) ) ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ ~( 'c_in'( 'c_union'( X, Y, Z ), 'c_Finite__Set_OFinites', 'tc_set'( Z
% 1.21/1.61 ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ],
% 1.21/1.61 [ ~( 'c_in'( 'c_union'( X, Y, Z ), 'c_Finite__Set_OFinites', 'tc_set'( Z
% 1.21/1.61 ) ) ), 'c_in'( Y, 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ],
% 1.21/1.61 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), ~( 'c_in'(
% 1.21/1.61 Z, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 'c_union'( Z, X,
% 1.21/1.61 Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 1.21/1.61 [ ~( 'c_in'( 'c_Relation_Oconverse'( X, Y, Z ), 'c_Finite__Set_OFinites'
% 1.21/1.61 , 'tc_set'( 'tc_prod'( Z, Y ) ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites'
% 1.21/1.61 , 'tc_set'( 'tc_prod'( Y, Z ) ) ) ],
% 1.21/1.61 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 'tc_prod'( Y, Z ) )
% 1.21/1.61 ) ), 'c_in'( 'c_Relation_Oconverse'( X, Y, Z ), 'c_Finite__Set_OFinites'
% 1.21/1.61 , 'tc_set'( 'tc_prod'( Z, Y ) ) ) ],
% 1.21/1.61 [ ~( 'c_in'( 'c_insert'( X, Y, Z ), 'c_Finite__Set_OFinites', 'tc_set'(
% 1.21/1.61 Z ) ) ), 'c_in'( Y, 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ],
% 1.21/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.21/1.61 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_lessequals'(
% 1.21/1.61 'c_Finite__Set_OMin'( Y, X ), 'c_Finite__Set_OMax'( Y, X ), X ), =( Y,
% 1.21/1.61 'c_emptyset' ) ],
% 1.21/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~(
% 1.21/1.61 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), =( Z,
% 1.21/1.61 'c_emptyset' ), =( 'c_Orderings_Omin'( Y, 'c_Finite__Set_OMax'( Z, X ), X
% 1.21/1.61 ), Y ) ],
% 1.21/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~(
% 1.21/1.61 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), =( Z,
% 1.21/1.61 'c_emptyset' ), =( 'c_Orderings_Omax'( Y, 'c_Finite__Set_OMin'( Z, X ), X
% 1.21/1.61 ), Y ) ],
% 1.21/1.61 [ =( 'c_NatArith_Oof__nat'( X, 'tc_nat' ), X ) ],
% 1.21/1.61 [ =( 'c_Fun_Oid'( X, Y ), X ) ],
% 1.21/1.61 [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, 'c_0', 'tc_nat', 'tc_nat' ) ), X ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ =( 'c_GCD_Ogcd'( 'c_Pair'( 'c_0', X, 'tc_nat', 'tc_nat' ) ), X ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, 'c_Suc'( 'c_0' ), 'tc_nat', 'tc_nat' ) )
% 1.21/1.61 , 'c_1' ) ],
% 1.21/1.61 [ =( 'c_GCD_Ogcd'( 'c_Pair'( 'c_Suc'( 'c_0' ), X, 'tc_nat', 'tc_nat' ) )
% 1.21/1.61 , 'c_1' ) ],
% 1.21/1.61 [ =( 'c_GCD_Ogcd'( 'c_Pair'( 'c_plus'( X, Y, 'tc_nat' ), Y, 'tc_nat',
% 1.21/1.61 'tc_nat' ) ), 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ) ) ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, 'c_plus'( X, Y, 'tc_nat' ), 'tc_nat',
% 1.21/1.61 'tc_nat' ) ), 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ) ) ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, 'c_plus'( Y, X, 'tc_nat' ), 'tc_nat',
% 1.21/1.61 'tc_nat' ) ), 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ) ) ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ ~( 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Y, Z, 'tc_nat',
% 1.21/1.61 'tc_nat' ) ), 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_nat' ) ],
% 1.21/1.61 [ ~( 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Y, Z, 'tc_nat',
% 1.21/1.61 'tc_nat' ) ), 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, Z, 'tc_nat' ) ],
% 1.21/1.61 [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_nat' ) ), ~( 'c_Divides_Oop_Advd'(
% 1.21/1.61 X, Z, 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Z, Y
% 1.21/1.61 , 'tc_nat', 'tc_nat' ) ), 'tc_nat' ) ],
% 1.21/1.61 [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, 'c_times'( X, Y, 'tc_nat' ), 'tc_nat',
% 1.21/1.61 'tc_nat' ) ), X ) ],
% 1.21/1.61 [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, X, 'tc_nat', 'tc_nat' ) ), X ) ],
% 1.21/1.61 [ ~( 'c_in'( 'c_UNIV', 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) )
% 1.21/1.61 ) ],
% 1.21/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.21/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 'c_HOL_Oabs'(
% 1.21/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), X ), 'c_1' ) ],
% 1.21/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'class_Power_Orecpower'( X
% 1.21/1.61 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 'c_HOL_Oabs'(
% 1.21/1.61 'c_Nat_Opower'( 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), Y, X ), X
% 1.21/1.61 ), 'c_1' ) ],
% 1.21/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.21/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0',
% 1.21/1.61 'c_Numeral_Onumber__of'( Y, X ), X ) ), 'c_IntDef_Oneg'(
% 1.21/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls',
% 1.21/1.61 'c_Numeral_Obin__minus'( Y ) ), X ), X ) ],
% 1.21/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.21/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.21/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls',
% 1.21/1.61 'c_Numeral_Obin__minus'( Y ) ), X ), X ) ), 'c_less'( 'c_0',
% 1.21/1.61 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.21/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.21/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_1',
% 1.21/1.61 'c_Numeral_Onumber__of'( Y, X ), X ) ), 'c_IntDef_Oneg'(
% 1.21/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'(
% 1.21/1.61 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.21/1.61 , X ), X ) ],
% 1.21/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.21/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.21/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'(
% 1.21/1.61 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.21/1.61 , X ), X ) ), 'c_less'( 'c_1', 'c_Numeral_Onumber__of'( Y, X ), X ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.21/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'(
% 1.21/1.61 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), 'c_IntDef_Oneg'(
% 1.21/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.21/1.61 'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ) ],
% 1.21/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.21/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.21/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.21/1.61 'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ) ), 'c_less'(
% 1.21/1.61 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ],
% 1.21/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.21/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'(
% 1.21/1.61 'c_Numeral_Onumber__of'( Y, X ), 'c_1', X ) ), 'c_IntDef_Oneg'(
% 1.21/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.21/1.61 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.21/1.61 'c_Numeral_Obit_OB1' ) ) ), X ), X ) ],
% 1.21/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.21/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.21/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.21/1.61 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.21/1.61 'c_Numeral_Obit_OB1' ) ) ), X ), X ) ), 'c_less'( 'c_Numeral_Onumber__of'(
% 1.21/1.61 Y, X ), 'c_1', X ) ],
% 1.21/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.21/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.21/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.21/1.61 'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ) ), ~(
% 1.21/1.61 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ) ],
% 1.21/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.21/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'(
% 1.21/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.21/1.61 'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ), 'c_lessequals'(
% 1.21/1.61 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.21/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.21/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.21/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.21/1.61 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.21/1.61 'c_Numeral_Obit_OB1' ) ) ), X ), X ) ), ~( 'c_lessequals'( 'c_1',
% 1.21/1.61 'c_Numeral_Onumber__of'( Y, X ), X ) ) ],
% 1.21/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.21/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'(
% 1.21/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.21/1.61 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.21/1.61 'c_Numeral_Obit_OB1' ) ) ), X ), X ), 'c_lessequals'( 'c_1',
% 1.21/1.61 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.21/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.21/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.21/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls',
% 1.21/1.61 'c_Numeral_Obin__minus'( Y ) ), X ), X ) ), ~( 'c_lessequals'(
% 1.21/1.61 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ) ],
% 1.21/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.21/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'(
% 1.21/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls',
% 1.21/1.61 'c_Numeral_Obin__minus'( Y ) ), X ), X ), 'c_lessequals'(
% 1.21/1.61 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ],
% 1.21/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.21/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.21/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'(
% 1.21/1.61 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.21/1.61 , X ), X ) ), ~( 'c_lessequals'( 'c_Numeral_Onumber__of'( Y, X ), 'c_1',
% 1.21/1.61 X ) ) ],
% 1.21/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.21/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'(
% 1.21/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'(
% 1.21/1.61 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.21/1.61 , X ), X ), 'c_lessequals'( 'c_Numeral_Onumber__of'( Y, X ), 'c_1', X ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'( 'c_1', 'c_1', X
% 1.21/1.61 ), 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.21/1.61 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), X ) ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'( 'c_1',
% 1.21/1.61 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'(
% 1.21/1.61 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.21/1.61 'c_Numeral_Obit_OB1' ), Y ), X ) ) ],
% 1.21/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'(
% 1.21/1.61 'c_Numeral_Onumber__of'( Y, X ), 'c_1', X ), 'c_Numeral_Onumber__of'(
% 1.21/1.61 'c_Numeral_Obin__add'( Y, 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.21/1.61 'c_Numeral_Obit_OB1' ) ), X ) ) ],
% 1.21/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_minus'( 'c_1',
% 1.21/1.61 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'(
% 1.21/1.61 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.21/1.61 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) ), X ) ) ],
% 1.21/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_minus'(
% 1.21/1.61 'c_Numeral_Onumber__of'( Y, X ), 'c_1', X ), 'c_Numeral_Onumber__of'(
% 1.21/1.61 'c_Numeral_Obin__add'( Y, 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'(
% 1.21/1.61 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ) ) ), X ) ) ],
% 1.21/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( =( 'c_0',
% 1.21/1.61 'c_Numeral_Onumber__of'( Y, X ) ) ), 'c_IntDef_Oiszero'(
% 1.21/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls',
% 1.21/1.61 'c_Numeral_Obin__minus'( Y ) ), X ), X ) ],
% 1.21/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'c_IntDef_Oiszero'(
% 1.21/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls',
% 1.21/1.61 'c_Numeral_Obin__minus'( Y ) ), X ), X ) ), =( 'c_0',
% 1.21/1.61 'c_Numeral_Onumber__of'( Y, X ) ) ],
% 1.21/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( =( 'c_1',
% 1.21/1.61 'c_Numeral_Onumber__of'( Y, X ) ) ), 'c_IntDef_Oiszero'(
% 1.21/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'(
% 1.21/1.61 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.21/1.61 , X ), X ) ],
% 1.21/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'c_IntDef_Oiszero'(
% 1.21/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'(
% 1.21/1.61 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.21/1.61 , X ), X ) ), =( 'c_1', 'c_Numeral_Onumber__of'( Y, X ) ) ],
% 1.21/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( =( 'c_Numeral_Onumber__of'(
% 1.21/1.61 Y, X ), 'c_0' ) ), 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'(
% 1.21/1.61 'c_Numeral_Obin__add'( Y, 'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ),
% 1.21/1.61 X ), X ) ],
% 1.21/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'c_IntDef_Oiszero'(
% 1.21/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.21/1.61 'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ) ), =(
% 1.21/1.61 'c_Numeral_Onumber__of'( Y, X ), 'c_0' ) ],
% 1.21/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( =( 'c_Numeral_Onumber__of'(
% 1.21/1.61 Y, X ), 'c_1' ) ), 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'(
% 1.21/1.61 'c_Numeral_Obin__add'( Y, 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'(
% 1.21/1.61 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ) ) ), X ), X ) ],
% 1.21/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'c_IntDef_Oiszero'(
% 1.21/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.21/1.61 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.21/1.61 'c_Numeral_Obit_OB1' ) ) ), X ), X ) ), =( 'c_Numeral_Onumber__of'( Y, X
% 1.21/1.61 ), 'c_1' ) ],
% 1.21/1.61 [ ~( =( 'c_IntDef_Oint'( X ), 'c_Numeral_Onumber__of'( Y,
% 1.21/1.61 'tc_IntDef_Oint' ) ) ), =( X, 'c_IntDef_Onat'( 'c_Numeral_Onumber__of'( Y
% 1.21/1.61 , 'tc_IntDef_Oint' ) ) ) ],
% 1.21/1.61 [ ~( =( 'c_IntDef_Oint'( X ), 'c_Numeral_Onumber__of'( Y,
% 1.21/1.61 'tc_IntDef_Oint' ) ) ), 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Y
% 1.21/1.61 , 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.21/1.61 [ ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.21/1.61 ), 'tc_IntDef_Oint' ) ), =( 'c_IntDef_Oint'( 'c_IntDef_Onat'(
% 1.21/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ) ) ),
% 1.21/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ) ) ],
% 1.21/1.61 [ =( 'c_IntDef_Onat'( 'c_1' ), 'c_Suc'( 'c_0' ) ) ],
% 1.21/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_IntDef_Oof__int'(
% 1.21/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', 'tc_IntDef_Oint' ), X ),
% 1.21/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ) ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_Suc'( 'c_0' ), 'c_IntDef_Onat'( X ), 'tc_nat' ) ),
% 1.21/1.61 'c_less'( 'c_1', X, 'tc_IntDef_Oint' ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_1', X, 'tc_IntDef_Oint' ) ), 'c_less'( 'c_Suc'( 'c_0'
% 1.21/1.61 ), 'c_IntDef_Onat'( X ), 'tc_nat' ) ],
% 1.21/1.61 [ =( 'c_plus'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' )
% 1.21/1.61 , 'c_minus'( X, Y, 'tc_IntDef_Oint' ) ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_HOL_Oabs'( X, 'tc_IntDef_Oint' ), 'c_1',
% 1.21/1.61 'tc_IntDef_Oint' ) ), =( X, 'c_0' ) ],
% 1.21/1.61 [ 'c_less'( 'c_HOL_Oabs'( 'c_0', 'tc_IntDef_Oint' ), 'c_1',
% 1.21/1.61 'tc_IntDef_Oint' ) ],
% 1.21/1.61 [ ~( 'c_less'( X, 'c_plus'( Y, 'c_1', 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint' ) ), 'c_lessequals'( X, Y, 'tc_IntDef_Oint' ) ],
% 1.21/1.61 [ ~( 'c_lessequals'( X, Y, 'tc_IntDef_Oint' ) ), 'c_less'( X, 'c_plus'(
% 1.21/1.61 Y, 'c_1', 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.21/1.61 [ ~( 'c_lessequals'( X, 'c_minus'( Y, 'c_1', 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint' ) ), 'c_less'( X, Y, 'tc_IntDef_Oint' ) ],
% 1.21/1.61 [ ~( 'c_less'( X, Y, 'tc_IntDef_Oint' ) ), 'c_lessequals'( X, 'c_minus'(
% 1.21/1.61 Y, 'c_1', 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.21/1.61 [ ~( 'c_in'( X, 'c_IntDef_OInteg', 'tc_set'( 'tc_prod'( 'tc_nat',
% 1.21/1.61 'tc_nat' ) ) ) ), ~( 'c_in'( Y, 'c_IntDef_OInteg', 'tc_set'( 'tc_prod'(
% 1.21/1.61 'tc_nat', 'tc_nat' ) ) ) ), ~( =( 'c_IntDef_OAbs__Integ'( Y ),
% 1.21/1.61 'c_IntDef_OAbs__Integ'( X ) ) ), =( Y, X ) ],
% 1.21/1.61 [ ~( 'c_in'( X, 'c_IntDef_OInteg', 'tc_set'( 'tc_prod'( 'tc_nat',
% 1.21/1.61 'tc_nat' ) ) ) ), =( 'c_IntDef_ORep__Integ'( 'c_IntDef_OAbs__Integ'( X )
% 1.21/1.61 ), X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'c_in'( 'c_0',
% 1.21/1.61 'c_IntDef_OInts', X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'c_in'( 'c_1',
% 1.21/1.61 'c_IntDef_OInts', X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_in'( Y,
% 1.21/1.61 'c_IntDef_OInts', X ) ), ~( 'c_in'( Z, 'c_IntDef_OInts', X ) ), 'c_in'(
% 1.21/1.61 'c_plus'( Z, Y, X ), 'c_IntDef_OInts', X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_in'( Y,
% 1.21/1.61 'c_IntDef_OInts', X ) ), ~( 'c_in'( Z, 'c_IntDef_OInts', X ) ), 'c_in'(
% 1.21/1.61 'c_minus'( Z, Y, X ), 'c_IntDef_OInts', X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_in'( Y,
% 1.21/1.61 'c_IntDef_OInts', X ) ), 'c_in'( 'c_uminus'( Y, X ), 'c_IntDef_OInts', X
% 1.21/1.61 ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_in'( Y,
% 1.21/1.61 'c_IntDef_OInts', X ) ), ~( 'c_in'( Z, 'c_IntDef_OInts', X ) ), 'c_in'(
% 1.21/1.61 'c_times'( Z, Y, X ), 'c_IntDef_OInts', X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 'c_in'(
% 1.21/1.61 'c_0', 'c_IntDef_ONats', X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 'c_in'(
% 1.21/1.61 'c_1', 'c_IntDef_ONats', X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), ~(
% 1.21/1.61 'c_in'( Y, 'c_IntDef_ONats', X ) ), ~( 'c_in'( Z, 'c_IntDef_ONats', X ) )
% 1.21/1.61 , 'c_in'( 'c_plus'( Z, Y, X ), 'c_IntDef_ONats', X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), ~(
% 1.21/1.61 'c_in'( Y, 'c_IntDef_ONats', X ) ), ~( 'c_in'( Z, 'c_IntDef_ONats', X ) )
% 1.21/1.61 , 'c_in'( 'c_times'( Z, Y, X ), 'c_IntDef_ONats', X ) ],
% 1.21/1.61 [ =( 'c_HOL_Oabs'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ),
% 1.21/1.61 'c_IntDef_Oint'( X ) ) ],
% 1.21/1.61 [ ~( =( 'c_Relation_OImage'( 'c_IntDef_Ointrel', 'c_insert'( X,
% 1.21/1.61 'c_emptyset', 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'tc_prod'( 'tc_nat',
% 1.21/1.61 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'c_Relation_OImage'(
% 1.21/1.61 'c_IntDef_Ointrel', 'c_insert'( Y, 'c_emptyset', 'tc_prod'( 'tc_nat',
% 1.21/1.61 'tc_nat' ) ), 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat',
% 1.21/1.61 'tc_nat' ) ) ) ), 'c_in'( 'c_Pair'( X, Y, 'tc_prod'( 'tc_nat', 'tc_nat' )
% 1.21/1.61 , 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'c_IntDef_Ointrel', 'tc_prod'(
% 1.21/1.61 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'(
% 1.21/1.61 'tc_nat', 'tc_nat' ) ), 'c_IntDef_Ointrel', 'tc_prod'( 'tc_prod'(
% 1.21/1.61 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ), =(
% 1.21/1.61 'c_Relation_OImage'( 'c_IntDef_Ointrel', 'c_insert'( X, 'c_emptyset',
% 1.21/1.61 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'tc_prod'( 'tc_nat', 'tc_nat' ),
% 1.21/1.61 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'c_Relation_OImage'(
% 1.21/1.61 'c_IntDef_Ointrel', 'c_insert'( Y, 'c_emptyset', 'tc_prod'( 'tc_nat',
% 1.21/1.61 'tc_nat' ) ), 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat',
% 1.21/1.61 'tc_nat' ) ) ) ],
% 1.21/1.61 [ ~( =( 'c_0', 'c_1' ) ) ],
% 1.21/1.61 [ =( 'c_IntDef_Oint'( 'c_1' ), 'c_1' ) ],
% 1.21/1.61 [ =( 'c_IntDef_Oint'( 'c_Suc'( X ) ), 'c_plus'( 'c_1', 'c_IntDef_Oint'(
% 1.21/1.61 X ), 'tc_IntDef_Oint' ) ) ],
% 1.21/1.61 [ ~( =( 'c_IntDef_Oint'( X ), 'c_0' ) ), =( X, 'c_0' ) ],
% 1.21/1.61 [ =( 'c_IntDef_Oint'( 'c_0' ), 'c_0' ) ],
% 1.21/1.61 [ ~( =( 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ) ) ), =( X, Y ) ],
% 1.21/1.61 [ ~( 'c_lessequals'( 'c_IntDef_Oint'( X ), 'c_0', 'tc_IntDef_Oint' ) ),
% 1.21/1.61 =( X, 'c_0' ) ],
% 1.21/1.61 [ 'c_lessequals'( 'c_IntDef_Oint'( 'c_0' ), 'c_0', 'tc_IntDef_Oint' ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ ~( 'c_less'( 'c_IntDef_Oint'( X ), 'c_0', 'tc_IntDef_Oint' ) ) ],
% 1.21/1.61 [ ~( 'c_lessequals'( 'c_0', X, 'tc_IntDef_Oint' ) ), =( 'c_IntDef_Oint'(
% 1.21/1.61 'c_IntDef_Onat'( X ) ), X ) ],
% 1.21/1.61 [ 'c_lessequals'( 'c_0', X, 'tc_IntDef_Oint' ), =( 'c_IntDef_Oint'(
% 1.21/1.61 'c_IntDef_Onat'( X ) ), 'c_0' ) ],
% 1.21/1.61 [ 'c_in'( 'c_Relation_OImage'( 'c_IntDef_Ointrel', 'c_insert'( 'c_Pair'(
% 1.21/1.61 X, Y, 'tc_nat', 'tc_nat' ), 'c_emptyset', 'tc_prod'( 'tc_nat', 'tc_nat' )
% 1.21/1.61 ), 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ),
% 1.21/1.61 'c_IntDef_OInteg', 'tc_set'( 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ],
% 1.21/1.61 [ ~( 'c_in'( 'c_Pair'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ), 'c_Pair'( Z
% 1.21/1.61 , T, 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'(
% 1.21/1.61 'tc_nat', 'tc_nat' ) ), 'c_IntDef_Ointrel', 'tc_prod'( 'tc_prod'(
% 1.21/1.61 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ), =( 'c_plus'(
% 1.21/1.61 X, T, 'tc_nat' ), 'c_plus'( Z, Y, 'tc_nat' ) ) ],
% 1.21/1.61 [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_plus'( Z, T, 'tc_nat' ) ) ),
% 1.21/1.61 'c_in'( 'c_Pair'( 'c_Pair'( X, T, 'tc_nat', 'tc_nat' ), 'c_Pair'( Z, Y,
% 1.21/1.61 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'(
% 1.21/1.61 'tc_nat', 'tc_nat' ) ), 'c_IntDef_Ointrel', 'tc_prod'( 'tc_prod'(
% 1.21/1.61 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ],
% 1.21/1.61 [ =( 'c_IntDef_Onat'( 'c_IntDef_Oint'( X ) ), X ) ],
% 1.21/1.61 [ ~( 'c_lessequals'( X, 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_IntDef_Onat'(
% 1.21/1.61 X ), 'c_0' ) ],
% 1.21/1.61 [ =( 'c_IntDef_Onat'( 'c_0' ), 'c_0' ) ],
% 1.21/1.61 [ =( 'c_IntDef_Onat'( 'c_uminus'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint'
% 1.21/1.61 ) ), 'c_0' ) ],
% 1.21/1.61 [ 'c_IntDef_Oneg'( 'c_uminus'( 'c_IntDef_Oint'( 'c_Suc'( X ) ),
% 1.21/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.21/1.61 [ ~( =( 'c_uminus'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ),
% 1.21/1.61 'c_IntDef_Oint'( Y ) ) ), =( X, 'c_0' ) ],
% 1.21/1.61 [ ~( =( 'c_uminus'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ),
% 1.21/1.61 'c_IntDef_Oint'( Y ) ) ), =( Y, 'c_0' ) ],
% 1.21/1.61 [ =( 'c_uminus'( 'c_IntDef_Oint'( 'c_0' ), 'tc_IntDef_Oint' ),
% 1.21/1.61 'c_IntDef_Oint'( 'c_0' ) ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_IntDef_Oint'( X ), 'c_uminus'( 'c_IntDef_Oint'( Y ),
% 1.21/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ],
% 1.21/1.61 [ ~( 'c_IntDef_Oneg'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ) ) ],
% 1.21/1.61 [ ~( 'c_lessequals'( 'c_0', 'c_uminus'( 'c_IntDef_Oint'( 'c_Suc'( X ) )
% 1.21/1.61 , 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_0',
% 1.21/1.61 'c_IntDef_Oof__int'( Y, X ) ) ), =( 'c_0', Y ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 'c_0',
% 1.21/1.61 'c_IntDef_Oof__int'( 'c_0', X ) ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.21/1.61 'c_0', 'c_IntDef_Oof__int'( Y, X ), X ) ), 'c_lessequals'( 'c_0', Y,
% 1.21/1.61 'tc_IntDef_Oint' ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.21/1.61 'c_0', Y, 'tc_IntDef_Oint' ) ), 'c_lessequals'( 'c_0',
% 1.21/1.61 'c_IntDef_Oof__int'( Y, X ), X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0'
% 1.21/1.61 , 'c_IntDef_Oof__int'( Y, X ), X ) ), 'c_less'( 'c_0', Y,
% 1.21/1.61 'tc_IntDef_Oint' ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0'
% 1.21/1.61 , Y, 'tc_IntDef_Oint' ) ), 'c_less'( 'c_0', 'c_IntDef_Oof__int'( Y, X ),
% 1.21/1.61 X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.21/1.61 'c_IntDef_Oof__int'( 'c_1', X ), 'c_1' ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.21/1.61 'c_IntDef_Oof__int'( 'c_plus'( Y, Z, 'tc_IntDef_Oint' ), X ), 'c_plus'(
% 1.21/1.61 'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ), X ) ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.21/1.61 'c_IntDef_Oof__int'( 'c_minus'( Y, Z, 'tc_IntDef_Oint' ), X ), 'c_minus'(
% 1.21/1.61 'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ), X ) ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.21/1.61 'c_IntDef_Oof__int'( Y, X ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.21/1.61 'c_IntDef_Oof__int'( 'c_0', X ), 'c_0' ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.21/1.61 'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ) ) ), =( Y, Z ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.21/1.61 'c_IntDef_Oof__int'( 'c_IntDef_Oint'( Y ), X ), 'c_NatArith_Oof__nat'( Y
% 1.21/1.61 , X ) ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.21/1.61 'c_IntDef_Oof__int'( Y, X ), 'c_0', X ) ), 'c_lessequals'( Y, 'c_0',
% 1.21/1.61 'tc_IntDef_Oint' ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.21/1.61 Y, 'c_0', 'tc_IntDef_Oint' ) ), 'c_lessequals'( 'c_IntDef_Oof__int'( Y, X
% 1.21/1.61 ), 'c_0', X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.21/1.61 'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ), X ) ),
% 1.21/1.61 'c_lessequals'( Y, Z, 'tc_IntDef_Oint' ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.21/1.61 Y, Z, 'tc_IntDef_Oint' ) ), 'c_lessequals'( 'c_IntDef_Oof__int'( Y, X ),
% 1.21/1.61 'c_IntDef_Oof__int'( Z, X ), X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'(
% 1.21/1.61 'c_IntDef_Oof__int'( Y, X ), 'c_0', X ) ), 'c_less'( Y, 'c_0',
% 1.21/1.61 'tc_IntDef_Oint' ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( Y,
% 1.21/1.61 'c_0', 'tc_IntDef_Oint' ) ), 'c_less'( 'c_IntDef_Oof__int'( Y, X ), 'c_0'
% 1.21/1.61 , X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'(
% 1.21/1.61 'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ), X ) ), 'c_less'(
% 1.21/1.61 Y, Z, 'tc_IntDef_Oint' ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( Y, Z,
% 1.21/1.61 'tc_IntDef_Oint' ) ), 'c_less'( 'c_IntDef_Oof__int'( Y, X ),
% 1.21/1.61 'c_IntDef_Oof__int'( Z, X ), X ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.21/1.61 'c_IntDef_Oof__int'( 'c_uminus'( Y, 'tc_IntDef_Oint' ), X ), 'c_uminus'(
% 1.21/1.61 'c_IntDef_Oof__int'( Y, X ), X ) ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.21/1.61 'c_IntDef_Oof__int'( 'c_times'( Y, Z, 'tc_IntDef_Oint' ), X ), 'c_times'(
% 1.21/1.61 'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ), X ) ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.21/1.61 'c_IntDef_Oof__int'( 'c_NatArith_Oof__nat'( Y, 'tc_IntDef_Oint' ), X ),
% 1.21/1.61 'c_NatArith_Oof__nat'( Y, X ) ) ],
% 1.21/1.61 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 'c_in'(
% 1.21/1.61 'c_NatArith_Oof__nat'( Y, X ), 'c_IntDef_ONats', X ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_0', 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ) ),
% 1.21/1.61 'c_less'( 'c_0', X, 'tc_nat' ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_IntDef_Oint'(
% 1.21/1.61 X ), 'tc_IntDef_Oint' ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_0', 'c_IntDef_Onat'( X ), 'tc_nat' ) ), 'c_less'(
% 1.21/1.61 'c_0', X, 'tc_IntDef_Oint' ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_0', X, 'tc_IntDef_Oint' ) ), 'c_less'( 'c_0',
% 1.21/1.61 'c_IntDef_Onat'( X ), 'tc_nat' ) ],
% 1.21/1.61 [ 'c_lessequals'( 'c_0', 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ) ],
% 1.21/1.61 [ ~( 'c_lessequals'( 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ),
% 1.21/1.61 'tc_IntDef_Oint' ) ), 'c_lessequals'( X, Y, 'tc_nat' ) ],
% 1.21/1.61 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 'c_IntDef_Oint'(
% 1.21/1.61 X ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ),
% 1.21/1.61 'tc_IntDef_Oint' ) ), 'c_less'( X, Y, 'tc_nat' ) ],
% 1.21/1.61 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 'c_IntDef_Oint'( X ),
% 1.21/1.61 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_IntDef_Onat'( X ), 'c_IntDef_Onat'( Y ), 'tc_nat' ) )
% 1.21/1.61 , 'c_less'( 'c_0', Y, 'tc_IntDef_Oint' ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_IntDef_Onat'( X ), 'c_IntDef_Onat'( Y ), 'tc_nat' ) )
% 1.21/1.61 , 'c_less'( X, Y, 'tc_IntDef_Oint' ) ],
% 1.21/1.61 [ ~( 'c_less'( X, Y, 'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_0', Y,
% 1.21/1.61 'tc_IntDef_Oint' ) ), 'c_less'( 'c_IntDef_Onat'( X ), 'c_IntDef_Onat'( Y
% 1.21/1.61 ), 'tc_nat' ) ],
% 1.21/1.61 [ =( 'c_Divides_Oop_Amod'( X, 'c_0', 'tc_IntDef_Oint' ), X ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_0',
% 1.21/1.61 'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_Numeral_Onumber__of'( Y,
% 1.21/1.61 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_div'(
% 1.21/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.21/1.61 Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_fst'( 'c_IntDiv_OnegateSnd'(
% 1.21/1.61 'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_uminus'( 'c_Numeral_Onumber__of'( X,
% 1.21/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_uminus'(
% 1.21/1.61 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint',
% 1.21/1.61 'tc_IntDef_Oint' ) ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Y,
% 1.21/1.61 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_div'(
% 1.21/1.61 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.21/1.61 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_fst'( 'c_IntDiv_OnegDivAlg'(
% 1.21/1.61 'c_Pair'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.21/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.21/1.61 'tc_IntDef_Oint' ) ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_0',
% 1.21/1.61 'tc_IntDef_Oint' ) ), =( 'c_div'( 'c_1', 'c_Numeral_Onumber__of'( X,
% 1.21/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_fst'( 'c_IntDiv_OnegateSnd'(
% 1.21/1.61 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_uminus'( 'c_1', 'tc_IntDef_Oint' ),
% 1.21/1.61 'c_uminus'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ),
% 1.21/1.61 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Y,
% 1.21/1.61 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_div'(
% 1.21/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.21/1.61 Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_fst'( 'c_IntDiv_OnegateSnd'(
% 1.21/1.61 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_uminus'( 'c_Numeral_Onumber__of'( X,
% 1.21/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_uminus'(
% 1.21/1.61 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint',
% 1.21/1.61 'tc_IntDef_Oint' ) ) ],
% 1.21/1.61 [ ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.21/1.61 ), 'tc_IntDef_Oint' ) ), =( 'c_div'( 'c_1', 'c_Numeral_Onumber__of'( X,
% 1.21/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_fst'( 'c_IntDiv_OposDivAlg'(
% 1.21/1.61 'c_Pair'( 'c_1', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'tc_IntDef_Oint',
% 1.21/1.61 'tc_IntDef_Oint' ) ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'(
% 1.21/1.61 Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_div'(
% 1.21/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.21/1.61 Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_fst'( 'c_IntDiv_OposDivAlg'(
% 1.21/1.61 'c_Pair'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.61 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.21/1.61 'tc_IntDef_Oint' ) ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.21/1.61 [ ~( 'c_Divides_Oop_Advd'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ),
% 1.21/1.61 'c_Divides_Oop_Advd'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint' ) ],
% 1.21/1.61 [ =( 'c_div'( 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' ), Y,
% 1.21/1.61 'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.21/1.61 [ =( 'c_Divides_Oop_Amod'( 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint'
% 1.21/1.61 ), Y, 'tc_IntDef_Oint' ), 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' )
% 1.21/1.61 ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_0',
% 1.21/1.61 'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_Numeral_Onumber__of'( Y,
% 1.21/1.61 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'(
% 1.21/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.21/1.61 Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_snd'( 'c_IntDiv_OnegateSnd'(
% 1.21/1.61 'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_uminus'( 'c_Numeral_Onumber__of'( X,
% 1.21/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_uminus'(
% 1.21/1.61 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint',
% 1.21/1.61 'tc_IntDef_Oint' ) ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Y,
% 1.21/1.61 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'(
% 1.21/1.61 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.21/1.61 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_snd'( 'c_IntDiv_OnegDivAlg'(
% 1.21/1.61 'c_Pair'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.21/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.21/1.61 'tc_IntDef_Oint' ) ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_0',
% 1.21/1.61 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 'c_1',
% 1.21/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.21/1.61 'c_snd'( 'c_IntDiv_OnegateSnd'( 'c_IntDiv_OnegDivAlg'( 'c_Pair'(
% 1.21/1.61 'c_uminus'( 'c_1', 'tc_IntDef_Oint' ), 'c_uminus'(
% 1.21/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint',
% 1.21/1.61 'tc_IntDef_Oint' ) ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Y,
% 1.21/1.61 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'(
% 1.21/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.21/1.61 Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_snd'( 'c_IntDiv_OnegateSnd'(
% 1.21/1.61 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_uminus'( 'c_Numeral_Onumber__of'( X,
% 1.21/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_uminus'(
% 1.21/1.61 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint',
% 1.21/1.61 'tc_IntDef_Oint' ) ) ],
% 1.21/1.61 [ ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.21/1.61 ), 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 'c_1',
% 1.21/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.21/1.61 'c_snd'( 'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_1', 'c_Numeral_Onumber__of'(
% 1.21/1.61 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ),
% 1.21/1.61 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'(
% 1.21/1.61 Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'(
% 1.21/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.21/1.61 Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_snd'( 'c_IntDiv_OposDivAlg'(
% 1.21/1.61 'c_Pair'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.61 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.21/1.61 'tc_IntDef_Oint' ) ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_0', 'c_plus'( 'c_1',
% 1.21/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint' ) ), =( 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_1',
% 1.21/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.21/1.61 'tc_IntDef_Oint' ) ), 'c_Pair'( 'c_Numeral_Onumber__of'( 'c_Numeral_OMin'
% 1.21/1.61 , 'tc_IntDef_Oint' ), 'c_plus'( 'c_1', 'c_Numeral_Onumber__of'( X,
% 1.21/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.21/1.61 'tc_IntDef_Oint' ) ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint' ) ), 'c_lessequals'( 'c_0', 'c_plus'( 'c_1',
% 1.21/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint' ), =( 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_1',
% 1.21/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.21/1.61 'tc_IntDef_Oint' ) ), 'c_IntDiv_Oadjust'( 'c_Numeral_Onumber__of'( X,
% 1.21/1.61 'tc_IntDef_Oint' ), 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_1', 'c_times'(
% 1.21/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.21/1.61 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.21/1.61 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ) ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_0', 'c_plus'(
% 1.21/1.61 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.21/1.61 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =(
% 1.21/1.61 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_Numeral_Onumber__of'( Y,
% 1.21/1.61 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_Pair'( 'c_Numeral_Onumber__of'(
% 1.21/1.61 'c_Numeral_OMin', 'tc_IntDef_Oint' ), 'c_plus'( 'c_Numeral_Onumber__of'(
% 1.21/1.61 Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint' ) ), 'c_lessequals'( 'c_0', 'c_plus'(
% 1.21/1.61 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.21/1.61 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =(
% 1.21/1.61 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_Numeral_Onumber__of'( Y,
% 1.21/1.61 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_IntDiv_Oadjust'(
% 1.21/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_IntDiv_OnegDivAlg'(
% 1.21/1.61 'c_Pair'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_times'(
% 1.21/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.21/1.61 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.21/1.61 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ) ) ],
% 1.21/1.61 [ =( 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_Numeral_Onumber__of'(
% 1.21/1.61 'c_Numeral_OMin', 'tc_IntDef_Oint' ), X, 'tc_IntDef_Oint',
% 1.21/1.61 'tc_IntDef_Oint' ) ), 'c_Pair'( 'c_Numeral_Onumber__of'( 'c_Numeral_OMin'
% 1.21/1.61 , 'tc_IntDef_Oint' ), 'c_minus'( X, 'c_1', 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.21/1.61 [ ~( 'c_less'( X, 'c_0', 'tc_IntDef_Oint' ) ), 'c_less'( X,
% 1.21/1.61 'c_Divides_Oop_Amod'( Y, X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.21/1.61 [ ~( 'c_less'( X, 'c_0', 'tc_IntDef_Oint' ) ), 'c_lessequals'(
% 1.21/1.61 'c_Divides_Oop_Amod'( Y, X, 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' )
% 1.21/1.61 ],
% 1.21/1.61 [ =( 'c_IntDiv_OnegateSnd'( 'c_Pair'( X, Y, 'tc_IntDef_Oint',
% 1.21/1.61 'tc_IntDef_Oint' ) ), 'c_Pair'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.21/1.61 [ =( 'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_0', X, 'tc_IntDef_Oint',
% 1.21/1.61 'tc_IntDef_Oint' ) ), 'c_Pair'( 'c_0', 'c_0', 'tc_IntDef_Oint',
% 1.21/1.61 'tc_IntDef_Oint' ) ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_1', 'c_Numeral_Onumber__of'( X,
% 1.21/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_IntDiv_OposDivAlg'(
% 1.21/1.61 'c_Pair'( 'c_1', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_Pair'( 'c_0', 'c_1',
% 1.21/1.61 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint' ) ), 'c_less'( 'c_1', 'c_Numeral_Onumber__of'( X,
% 1.21/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_IntDiv_OposDivAlg'(
% 1.21/1.61 'c_Pair'( 'c_1', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_IntDiv_Oadjust'(
% 1.21/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_IntDiv_OposDivAlg'(
% 1.21/1.61 'c_Pair'( 'c_1', 'c_times'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.21/1.61 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.21/1.61 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X,
% 1.21/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.21/1.61 'tc_IntDef_Oint' ) ) ) ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Y,
% 1.21/1.61 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint' ) ), =( 'c_IntDiv_OposDivAlg'( 'c_Pair'(
% 1.21/1.61 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.21/1.61 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_Pair'(
% 1.21/1.61 'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.21/1.61 'tc_IntDef_Oint' ) ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint' ) ), 'c_less'( 'c_Numeral_Onumber__of'( Y,
% 1.21/1.61 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint' ), =( 'c_IntDiv_OposDivAlg'( 'c_Pair'(
% 1.21/1.61 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.21/1.61 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ),
% 1.21/1.61 'c_IntDiv_Oadjust'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.61 'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_Numeral_Onumber__of'( Y,
% 1.21/1.61 'tc_IntDef_Oint' ), 'c_times'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.21/1.61 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.21/1.61 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X,
% 1.21/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.21/1.61 'tc_IntDef_Oint' ) ) ) ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_0', X, 'tc_IntDef_Oint' ) ), 'c_less'(
% 1.21/1.61 'c_Divides_Oop_Amod'( Y, X, 'tc_IntDef_Oint' ), X, 'tc_IntDef_Oint' ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ ~( 'c_less'( 'c_0', X, 'tc_IntDef_Oint' ) ), 'c_lessequals'( 'c_0',
% 1.21/1.61 'c_Divides_Oop_Amod'( Y, X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.21/1.61 [ =( 'c_Nat_Opower'( X, 'c_0', 'tc_IntDef_Oint' ), 'c_1' ) ],
% 1.21/1.61 [ =( 'c_Nat_Opower'( X, 'c_Suc'( Y ), 'tc_IntDef_Oint' ), 'c_times'( X,
% 1.21/1.61 'c_Nat_Opower'( X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ],
% 1.21/1.61 [ =( 'c_div'( X, 'c_1', 'tc_IntDef_Oint' ), X ) ],
% 1.21/1.61 [ =( 'c_div'( X, 'c_Numeral_Onumber__of'( 'c_Numeral_OMin',
% 1.21/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_uminus'( X, 'tc_IntDef_Oint' )
% 1.21/1.61 ) ],
% 1.21/1.61 [ =( 'c_div'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( X,
% 1.21/1.61 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.21/1.61 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint' ), 'c_div'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.21/1.61 ), 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) )
% 1.21/1.61 ],
% 1.21/1.61 [ ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.21/1.61 ), 'tc_IntDef_Oint' ) ), =( 'c_div'( 'c_Numeral_Onumber__of'(
% 1.21/1.61 'c_Numeral_OBit'( Y, Z ), 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.21/1.61 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint' ), 'c_div'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint'
% 1.21/1.61 ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) )
% 1.21/1.61 ],
% 1.21/1.61 [ 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.21/1.61 , 'tc_IntDef_Oint' ), =( Y, 'c_Numeral_Obit_OB0' ), =( 'c_div'(
% 1.21/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Z, Y ), 'tc_IntDef_Oint' ),
% 1.21/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' ),
% 1.21/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_div'( 'c_plus'(
% 1.21/1.61 'c_Numeral_Onumber__of'( Z, 'tc_IntDef_Oint' ), 'c_1', 'tc_IntDef_Oint' )
% 1.21/1.61 , 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ =( X, 'c_0' ), =( 'c_div'( X, X, 'tc_IntDef_Oint' ), 'c_1' ) ],
% 1.21/1.61 [ =( X, 'c_0' ), =( 'c_div'( 'c_plus'( X, Y, 'tc_IntDef_Oint' ), X,
% 1.21/1.61 'tc_IntDef_Oint' ), 'c_plus'( 'c_div'( Y, X, 'tc_IntDef_Oint' ), 'c_1',
% 1.21/1.61 'tc_IntDef_Oint' ) ) ],
% 1.21/1.61 [ =( X, 'c_0' ), =( 'c_div'( 'c_plus'( Y, X, 'tc_IntDef_Oint' ), X,
% 1.21/1.61 'tc_IntDef_Oint' ), 'c_plus'( 'c_div'( Y, X, 'tc_IntDef_Oint' ), 'c_1',
% 1.21/1.61 'tc_IntDef_Oint' ) ) ],
% 1.21/1.61 [ =( 'c_div'( 'c_0', X, 'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.21/1.61 [ =( 'c_div'( 'c_uminus'( X, 'tc_IntDef_Oint' ), 'c_uminus'( Y,
% 1.21/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_div'( X, Y, 'tc_IntDef_Oint' )
% 1.21/1.61 ) ],
% 1.21/1.61 [ =( X, 'c_0' ), =( 'c_div'( 'c_times'( Y, X, 'tc_IntDef_Oint' ), X,
% 1.21/1.61 'tc_IntDef_Oint' ), Y ) ],
% 1.21/1.61 [ =( X, 'c_0' ), =( 'c_div'( 'c_times'( X, Y, 'tc_IntDef_Oint' ), X,
% 1.21/1.61 'tc_IntDef_Oint' ), Y ) ],
% 1.21/1.61 [ ~( 'c_Divides_Oop_Advd'( 'c_0', X, 'tc_IntDef_Oint' ) ), =( X, 'c_0' )
% 1.21/1.61 ],
% 1.21/1.61 [ 'c_Divides_Oop_Advd'( 'c_0', 'c_0', 'tc_IntDef_Oint' ) ],
% 1.21/1.61 [ ~( 'c_Divides_Oop_Advd'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.21/1.61 ), 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) )
% 1.21/1.61 , =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' )
% 1.21/1.61 , 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.21/1.61 'c_0' ) ],
% 1.21/1.61 [ ~( =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X,
% 1.21/1.61 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.21/1.61 'tc_IntDef_Oint' ), 'c_0' ) ), 'c_Divides_Oop_Advd'(
% 1.21/1.61 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.21/1.61 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.21/1.61 [ 'c_Divides_Oop_Advd'( X, X, 'tc_IntDef_Oint' ) ],
% 1.21/1.61 [ 'c_lessequals'( 'c_0', 'c_Nat_Opower'( 'c_HOL_Oabs'( X,
% 1.21/1.61 'tc_IntDef_Oint' ), Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.21/1.61 [ ~( 'c_less'( 'c_0', 'c_Nat_Opower'( 'c_HOL_Oabs'( 'c_0',
% 1.21/1.61 'tc_IntDef_Oint' ), X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( X,
% 1.21/1.61 'c_0' ) ],
% 1.21/1.61 [ 'c_less'( 'c_0', 'c_Nat_Opower'( 'c_HOL_Oabs'( X, 'tc_IntDef_Oint' ),
% 1.21/1.61 Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( X, 'c_0' ) ],
% 1.21/1.61 [ 'c_less'( 'c_0', 'c_Nat_Opower'( 'c_HOL_Oabs'( X, 'tc_IntDef_Oint' ),
% 1.21/1.61 'c_0', 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.21/1.61 [ ~( 'c_Divides_Oop_Advd'( 'c_uminus'( X, 'tc_IntDef_Oint' ), Y,
% 1.21/1.61 'tc_IntDef_Oint' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ),
% 1.21/1.61 'c_Divides_Oop_Advd'( 'c_uminus'( X, 'tc_IntDef_Oint' ), Y,
% 1.21/1.61 'tc_IntDef_Oint' ) ],
% 1.21/1.61 [ =( 'c_Divides_Oop_Amod'( X, 'c_1', 'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.21/1.61 [ =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'( 'c_Numeral_OMin'
% 1.21/1.61 , 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.21/1.61 [ =( 'c_Divides_Oop_Amod'( X, X, 'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.21/1.61 [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, Y, 'tc_IntDef_Oint' ), X,
% 1.21/1.61 'tc_IntDef_Oint' ), 'c_Divides_Oop_Amod'( Y, X, 'tc_IntDef_Oint' ) ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, Y, 'tc_IntDef_Oint' ), Y,
% 1.21/1.61 'tc_IntDef_Oint' ), 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' ) ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ =( 'c_Divides_Oop_Amod'( 'c_0', X, 'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.21/1.61 [ =( 'c_Divides_Oop_Amod'( 'c_uminus'( X, 'tc_IntDef_Oint' ), 'c_uminus'(
% 1.21/1.61 Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_uminus'(
% 1.21/1.61 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ =( 'c_Divides_Oop_Amod'( 'c_times'( X, Y, 'tc_IntDef_Oint' ), Y,
% 1.21/1.61 'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.21/1.61 [ =( 'c_Divides_Oop_Amod'( 'c_times'( X, Y, 'tc_IntDef_Oint' ), X,
% 1.21/1.61 'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.21/1.61 [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ), =( 'c_LOrder_Ojoin'( Y, Y
% 1.21/1.61 , X ), Y ) ],
% 1.21/1.61 [ ~( 'class_LOrder_Omeet__semilorder'( X ) ), =( 'c_LOrder_Omeet'( Y, Y
% 1.21/1.61 , X ), Y ) ],
% 1.21/1.61 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.21/1.61 'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.21/1.61 ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.21/1.61 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( X, T, Z, Z ), W, 'tc_prod'(
% 1.21/1.61 Z, Z ) ), =( X, T ) ],
% 1.21/1.61 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.21/1.61 'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.21/1.61 ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.21/1.61 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( X, T, Z, Z ), W, 'tc_prod'(
% 1.21/1.61 Z, Z ) ), 'c_in'( 'c_Pair'( Y, U, 'tc_List_Olist'( Z ), 'tc_List_Olist'(
% 1.21/1.61 Z ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.21/1.61 'tc_List_Olist'( Z ) ) ) ],
% 1.21/1.61 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.21/1.61 'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.21/1.61 ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.21/1.61 'tc_List_Olist'( Z ) ) ) ), =( X, T ), =( 'c_Nat_Osize'( Y,
% 1.21/1.61 'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( U, 'tc_List_Olist'( Z ) ) ) ],
% 1.21/1.61 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.21/1.61 'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.21/1.61 ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.21/1.61 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( Y, U, 'tc_List_Olist'( Z )
% 1.21/1.61 , 'tc_List_Olist'( Z ) ), 'c_List_Olex'( W, Z ), 'tc_prod'(
% 1.21/1.61 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ), =( 'c_Nat_Osize'( Y,
% 1.21/1.61 'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( U, 'tc_List_Olist'( Z ) ) ) ],
% 1.21/1.61 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( =(
% 1.21/1.61 'c_Nat_Osize'( U, 'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( W,
% 1.21/1.61 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, U
% 1.21/1.61 , Z ), 'c_List_Olist_OCons'( Y, W, Z ), 'tc_List_Olist'( Z ),
% 1.21/1.61 'tc_List_Olist'( Z ) ), 'c_List_Olex'( T, Z ), 'tc_prod'( 'tc_List_Olist'(
% 1.21/1.61 Z ), 'tc_List_Olist'( Z ) ) ) ],
% 1.21/1.61 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z )
% 1.21/1.61 ), 'c_List_Olex'( T, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.21/1.61 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( U, X
% 1.21/1.61 , Z ), 'c_List_Olist_OCons'( U, Y, Z ), 'tc_List_Olist'( Z ),
% 1.21/1.61 'tc_List_Olist'( Z ) ), 'c_List_Olex'( T, Z ), 'tc_prod'( 'tc_List_Olist'(
% 1.21/1.61 Z ), 'tc_List_Olist'( Z ) ) ) ],
% 1.21/1.61 [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil', 'tc_List_Olist'( Y ),
% 1.21/1.61 'tc_List_Olist'( Y ) ), 'c_List_Olex'( Z, Y ), 'tc_prod'( 'tc_List_Olist'(
% 1.21/1.61 Y ), 'tc_List_Olist'( Y ) ) ) ) ],
% 1.21/1.61 [ ~( 'c_in'( X, 'c_List_Oset'( Y, 'tc_List_Olist'( Z ) ),
% 1.21/1.61 'tc_List_Olist'( Z ) ) ), ~( =( 'c_List_Olist_ONil', 'c_List_Oconcat'( Y
% 1.21/1.61 , Z ) ) ), =( X, 'c_List_Olist_ONil' ) ],
% 1.21/1.61 [ 'c_in'( 'c_Main_ONil__eq__concat__conv__1'( X, Y ), 'c_List_Oset'( X,
% 1.21/1.61 'tc_List_Olist'( Y ) ), 'tc_List_Olist'( Y ) ), =( 'c_List_Olist_ONil',
% 1.21/1.61 'c_List_Oconcat'( X, Y ) ) ],
% 1.21/1.61 [ ~( =( 'c_Main_ONil__eq__concat__conv__1'( X, Y ), 'c_List_Olist_ONil'
% 1.21/1.61 ) ), =( 'c_List_Olist_ONil', 'c_List_Oconcat'( X, Y ) ) ],
% 1.21/1.61 [ ~( =( 'c_List_Olist_ONil', 'c_append'( X, Y, Z ) ) ), =( X,
% 1.21/1.61 'c_List_Olist_ONil' ) ],
% 1.21/1.61 [ ~( =( 'c_List_Olist_ONil', 'c_append'( X, Y, Z ) ) ), =( Y,
% 1.21/1.61 'c_List_Olist_ONil' ) ],
% 1.21/1.61 [ =( 'c_List_Olist_ONil', 'c_append'( 'c_List_Olist_ONil',
% 1.21/1.61 'c_List_Olist_ONil', X ) ) ],
% 1.21/1.61 [ ~( =( 'c_List_Olist_ONil', 'c_List_Orev'( X, Y ) ) ), =( X,
% 1.21/1.61 'c_List_Olist_ONil' ) ],
% 1.21/1.61 [ =( 'c_List_Olist_ONil', 'c_List_Orev'( 'c_List_Olist_ONil', X ) ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X, 'tc_List_Olist'( Y ),
% 1.21/1.61 'tc_List_Olist'( Y ) ), 'c_List_Olex'( Z, Y ), 'tc_prod'( 'tc_List_Olist'(
% 1.21/1.61 Y ), 'tc_List_Olist'( Y ) ) ) ) ],
% 1.21/1.61 [ ~( =( 'c_append'( X, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z )
% 1.21/1.61 , Z ), 'c_append'( T, 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil', Z ),
% 1.21/1.61 Z ) ) ), =( X, T ) ],
% 1.21/1.61 [ ~( =( 'c_append'( X, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z )
% 1.21/1.61 , Z ), 'c_append'( T, 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil', Z ),
% 1.21/1.61 Z ) ) ), =( Y, U ) ],
% 1.21/1.61 [ =( 'c_append'( 'c_append'( X, Y, Z ), T, Z ), 'c_append'( X,
% 1.21/1.61 'c_append'( Y, T, Z ), Z ) ) ],
% 1.21/1.61 [ =( X, 'c_List_Olist_ONil' ), =( 'c_append'( 'c_List_Obutlast'( X, Y )
% 1.21/1.61 , 'c_List_Olist_OCons'( 'c_List_Olast'( X, Y ), 'c_List_Olist_ONil', Y )
% 1.21/1.61 , Y ), X ) ],
% 1.21/1.61 [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( Z,
% 1.21/1.61 'tc_List_Olist'( Y ) ) ) ), ~( =( 'c_append'( X, T, Y ), 'c_append'( Z, U
% 1.21/1.61 , Y ) ) ), =( X, Z ) ],
% 1.21/1.61 [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( Z,
% 1.21/1.61 'tc_List_Olist'( Y ) ) ) ), ~( =( 'c_append'( X, T, Y ), 'c_append'( Z, U
% 1.21/1.61 , Y ) ) ), =( T, U ) ],
% 1.21/1.61 [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( Z,
% 1.21/1.61 'tc_List_Olist'( Y ) ) ) ), ~( =( 'c_append'( T, X, Y ), 'c_append'( U, Z
% 1.21/1.61 , Y ) ) ), =( T, U ) ],
% 1.21/1.61 [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( Z,
% 1.21/1.61 'tc_List_Olist'( Y ) ) ) ), ~( =( 'c_append'( T, X, Y ), 'c_append'( U, Z
% 1.21/1.61 , Y ) ) ), =( X, Z ) ],
% 1.21/1.61 [ ~( 'c_in'( 'c_append'( X, Y, Z ), 'c_List_Olists'( T, Z ),
% 1.21/1.61 'tc_List_Olist'( Z ) ) ), 'c_in'( X, 'c_List_Olists'( T, Z ),
% 1.21/1.61 'tc_List_Olist'( Z ) ) ],
% 1.21/1.61 [ ~( 'c_in'( 'c_append'( X, Y, Z ), 'c_List_Olists'( T, Z ),
% 1.21/1.61 'tc_List_Olist'( Z ) ) ), 'c_in'( Y, 'c_List_Olists'( T, Z ),
% 1.21/1.61 'tc_List_Olist'( Z ) ) ],
% 1.21/1.61 [ ~( 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ), ~(
% 1.21/1.61 'c_in'( T, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ), 'c_in'(
% 1.21/1.61 'c_append'( T, X, Z ), 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ ~( =( 'c_append'( X, Y, Z ), 'c_List_Olist_ONil' ) ), =( X,
% 1.21/1.61 'c_List_Olist_ONil' ) ],
% 1.21/1.61 [ ~( =( 'c_append'( X, Y, Z ), 'c_List_Olist_ONil' ) ), =( Y,
% 1.21/1.61 'c_List_Olist_ONil' ) ],
% 1.21/1.61 [ =( 'c_append'( 'c_List_Olist_ONil', 'c_List_Olist_ONil', X ),
% 1.21/1.61 'c_List_Olist_ONil' ) ],
% 1.21/1.61 [ ~( =( 'c_append'( X, Y, Z ), 'c_append'( T, Y, Z ) ) ), =( X, T ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ ~( =( 'c_append'( X, Y, Z ), Y ) ), =( X, 'c_List_Olist_ONil' ) ],
% 1.21/1.61 [ =( 'c_append'( 'c_List_Olist_ONil', X, Y ), X ) ],
% 1.21/1.61 [ ~( =( 'c_append'( X, Y, Z ), X ) ), =( Y, 'c_List_Olist_ONil' ) ],
% 1.21/1.61 [ =( 'c_append'( X, 'c_List_Olist_ONil', Y ), X ) ],
% 1.21/1.61 [ =( 'c_append'( 'c_List_Otake'( X, Y, Z ), 'c_List_Odrop'( X, Y, Z ), Z
% 1.21/1.61 ), Y ) ],
% 1.21/1.61 [ =( 'c_List_Obutlast'( 'c_List_Olist_ONil', X ), 'c_List_Olist_ONil' )
% 1.21/1.61 ],
% 1.21/1.61 [ =( 'c_List_Obutlast'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y
% 1.21/1.61 ), Y ), 'c_List_Olist_ONil' ) ],
% 1.21/1.61 [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Obutlast'(
% 1.21/1.61 'c_List_Olist_OCons'( Y, X, Z ), Z ), 'c_List_Olist_OCons'( Y,
% 1.21/1.61 'c_List_Obutlast'( X, Z ), Z ) ) ],
% 1.21/1.61 [ =( 'c_List_Obutlast'( 'c_append'( X, 'c_List_Olist_OCons'( Y,
% 1.21/1.61 'c_List_Olist_ONil', Z ), Z ), Z ), X ) ],
% 1.21/1.61 [ ~( =( 'c_List_Ochar_OChar'( X, Y ), 'c_List_Ochar_OChar'( Z, T ) ) ),
% 1.21/1.61 =( X, Z ) ],
% 1.21/1.61 [ ~( =( 'c_List_Ochar_OChar'( X, Y ), 'c_List_Ochar_OChar'( Z, T ) ) ),
% 1.21/1.61 =( Y, T ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_List_Ochar_OChar'( X, Y ), 'tc_List_Ochar' ),
% 1.21/1.61 'c_0' ) ],
% 1.21/1.61 [ =( 'c_List_Oconcat'( 'c_List_Olist_ONil', X ), 'c_List_Olist_ONil' ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ =( 'c_List_Oconcat'( 'c_List_Olist_OCons'( X, Y, 'tc_List_Olist'( Z )
% 1.21/1.61 ), Z ), 'c_append'( X, 'c_List_Oconcat'( Y, Z ), Z ) ) ],
% 1.21/1.61 [ =( 'c_List_Oconcat'( 'c_append'( X, Y, 'tc_List_Olist'( Z ) ), Z ),
% 1.21/1.61 'c_append'( 'c_List_Oconcat'( X, Z ), 'c_List_Oconcat'( Y, Z ), Z ) ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ ~( 'c_in'( X, 'c_List_Oset'( Y, 'tc_List_Olist'( Z ) ),
% 1.21/1.61 'tc_List_Olist'( Z ) ) ), ~( =( 'c_List_Oconcat'( Y, Z ),
% 1.21/1.61 'c_List_Olist_ONil' ) ), =( X, 'c_List_Olist_ONil' ) ],
% 1.21/1.61 [ 'c_in'( 'c_Main_Oconcat__eq__Nil__conv__1'( X, Y ), 'c_List_Oset'( X,
% 1.21/1.61 'tc_List_Olist'( Y ) ), 'tc_List_Olist'( Y ) ), =( 'c_List_Oconcat'( X, Y
% 1.21/1.61 ), 'c_List_Olist_ONil' ) ],
% 1.21/1.61 [ ~( =( 'c_Main_Oconcat__eq__Nil__conv__1'( X, Y ), 'c_List_Olist_ONil'
% 1.21/1.61 ) ), =( 'c_List_Oconcat'( X, Y ), 'c_List_Olist_ONil' ) ],
% 1.21/1.61 [ ~( 'c_List_Odistinct'( 'c_List_Orotate1'( X, Y ), Y ) ),
% 1.21/1.61 'c_List_Odistinct'( X, Y ) ],
% 1.21/1.61 [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 'c_List_Orotate1'(
% 1.21/1.61 X, Y ), Y ) ],
% 1.21/1.61 [ 'c_List_Odistinct'( 'c_List_Olist_ONil', X ) ],
% 1.21/1.61 [ ~( 'c_List_Odistinct'( 'c_List_Olist_OCons'( X, Y, Z ), Z ) ), ~(
% 1.21/1.61 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ) ) ],
% 1.21/1.61 [ ~( 'c_List_Odistinct'( 'c_List_Olist_OCons'( X, Y, Z ), Z ) ),
% 1.21/1.61 'c_List_Odistinct'( Y, Z ) ],
% 1.21/1.61 [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'(
% 1.21/1.61 'c_List_Olist_OCons'( Z, X, Y ), Y ), 'c_in'( Z, 'c_List_Oset'( X, Y ), Y
% 1.21/1.61 ) ],
% 1.21/1.61 [ ~( 'c_List_Odistinct'( 'c_append'( X, Y, Z ), Z ) ),
% 1.21/1.61 'c_List_Odistinct'( X, Z ) ],
% 1.21/1.61 [ ~( 'c_List_Odistinct'( 'c_append'( X, Y, Z ), Z ) ),
% 1.21/1.61 'c_List_Odistinct'( Y, Z ) ],
% 1.21/1.61 [ ~( 'c_List_Odistinct'( 'c_append'( X, Y, Z ), Z ) ), =( 'c_inter'(
% 1.21/1.61 'c_List_Oset'( X, Z ), 'c_List_Oset'( Y, Z ), Z ), 'c_emptyset' ) ],
% 1.21/1.61 [ ~( 'c_List_Odistinct'( X, Y ) ), ~( 'c_List_Odistinct'( Z, Y ) ), ~(
% 1.21/1.61 =( 'c_inter'( 'c_List_Oset'( Z, Y ), 'c_List_Oset'( X, Y ), Y ),
% 1.21/1.61 'c_emptyset' ) ), 'c_List_Odistinct'( 'c_append'( Z, X, Y ), Y ) ],
% 1.21/1.61 [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 'c_List_Odrop'( Z
% 1.21/1.61 , X, Y ), Y ) ],
% 1.21/1.61 [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 'c_List_Oremove1'(
% 1.21/1.61 Z, X, Y ), Y ) ],
% 1.21/1.61 [ ~( 'c_List_Odistinct'( 'c_List_Orev'( X, Y ), Y ) ),
% 1.21/1.61 'c_List_Odistinct'( X, Y ) ],
% 1.21/1.61 [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 'c_List_Orev'( X
% 1.21/1.61 , Y ), Y ) ],
% 1.21/1.61 [ ~( 'c_List_Odistinct'( 'c_List_Orotate'( X, Y, Z ), Z ) ),
% 1.21/1.61 'c_List_Odistinct'( Y, Z ) ],
% 1.21/1.61 [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 'c_List_Orotate'(
% 1.21/1.61 Z, X, Y ), Y ) ],
% 1.21/1.61 [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 'c_List_Osublist'(
% 1.21/1.61 X, Z, Y ), Y ) ],
% 1.21/1.61 [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 'c_List_Otake'( Z
% 1.21/1.61 , X, Y ), Y ) ],
% 1.21/1.61 [ 'c_List_Odistinct'( 'c_List_Oupt'( X, Y ), 'tc_nat' ) ],
% 1.21/1.61 [ =( 'c_List_Odrop'( X, 'c_List_Olist_ONil', Y ), 'c_List_Olist_ONil' )
% 1.21/1.61 ],
% 1.21/1.61 [ =( 'c_List_Odrop'( 'c_0', X, Y ), X ) ],
% 1.21/1.61 [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ), =(
% 1.21/1.61 'c_List_Odrop'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.21/1.61 'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_List_Olist_OCons'( Y, Z, T ) ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ =( 'c_List_Odrop'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.21/1.61 'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_List_Odrop'( 'c_minus'(
% 1.21/1.61 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_1', 'tc_nat' ), Z, T ) ), =(
% 1.21/1.61 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ],
% 1.21/1.61 [ =( 'c_List_Odrop'( 'c_Suc'( X ), 'c_List_Olist_OCons'( Y, Z, T ), T )
% 1.21/1.61 , 'c_List_Odrop'( X, Z, T ) ) ],
% 1.21/1.61 [ =( 'c_List_Odrop'( X, 'c_append'( Y, Z, T ), T ), 'c_append'(
% 1.21/1.61 'c_List_Odrop'( X, Y, T ), 'c_List_Odrop'( 'c_minus'( X, 'c_Nat_Osize'( Y
% 1.21/1.61 , 'tc_List_Olist'( T ) ), 'tc_nat' ), Z, T ), T ) ) ],
% 1.21/1.61 [ =( 'c_List_Odrop'( X, 'c_List_Odrop'( Y, Z, T ), T ), 'c_List_Odrop'(
% 1.21/1.61 'c_plus'( X, Y, 'tc_nat' ), Z, T ) ) ],
% 1.21/1.61 [ ~( =( 'c_List_Odrop'( X, Y, Z ), 'c_List_Olist_ONil' ) ),
% 1.21/1.61 'c_lessequals'( 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), X, 'tc_nat' ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ ~( 'c_lessequals'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), Z,
% 1.21/1.61 'tc_nat' ) ), =( 'c_List_Odrop'( Z, X, Y ), 'c_List_Olist_ONil' ) ],
% 1.21/1.61 [ =( 'c_List_Odrop'( X, 'c_List_Oreplicate'( Y, Z, T ), T ),
% 1.21/1.61 'c_List_Oreplicate'( 'c_minus'( Y, X, 'tc_nat' ), Z, T ) ) ],
% 1.21/1.61 [ =( 'c_List_Odrop'( X, 'c_List_Oupt'( Y, Z ), 'tc_nat' ), 'c_List_Oupt'(
% 1.21/1.61 'c_plus'( Y, X, 'tc_nat' ), Z ) ) ],
% 1.21/1.61 [ =( 'c_List_Ohd'( 'c_List_Olist_OCons'( X, Y, Z ), Z ), X ) ],
% 1.21/1.61 [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Olist_OCons'( 'c_List_Ohd'( X
% 1.21/1.61 , Y ), 'c_List_Otl'( X, Y ), Y ), X ) ],
% 1.21/1.61 [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Ohd'( 'c_append'( X, Y, Z ), Z
% 1.21/1.61 ), 'c_List_Ohd'( X, Z ) ) ],
% 1.21/1.61 [ 'c_in'( 'c_List_Ohd'( X, Y ), 'c_List_Oset'( X, Y ), Y ), =( X,
% 1.21/1.61 'c_List_Olist_ONil' ) ],
% 1.21/1.61 [ =( X, 'c_0' ), =( 'c_List_Ohd'( 'c_List_Oreplicate'( X, Y, Z ), Z ), Y
% 1.21/1.61 ) ],
% 1.21/1.61 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_List_Ohd'( 'c_List_Oupt'( X, Y
% 1.21/1.61 ), 'tc_nat' ), X ) ],
% 1.21/1.61 [ =( 'c_List_Oitrev'( X, Y, Z ), 'c_append'( 'c_List_Orev'( X, Z ), Y, Z
% 1.21/1.61 ) ) ],
% 1.21/1.61 [ =( 'c_List_Oitrev'( 'c_List_Olist_ONil', X, Y ), X ) ],
% 1.21/1.61 [ =( 'c_List_Oitrev'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ),
% 1.21/1.61 'c_List_Oitrev'( Y, 'c_List_Olist_OCons'( X, T, Z ), Z ) ) ],
% 1.21/1.61 [ =( 'c_List_Olast'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ),
% 1.21/1.61 Y ), X ) ],
% 1.21/1.61 [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Olast'( 'c_List_Olist_OCons'(
% 1.21/1.61 Y, X, Z ), Z ), 'c_List_Olast'( X, Z ) ) ],
% 1.21/1.61 [ =( 'c_List_Olast'( 'c_append'( X, 'c_List_Olist_ONil', Y ), Y ),
% 1.21/1.61 'c_List_Olast'( X, Y ) ) ],
% 1.21/1.61 [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Olast'( 'c_append'( Y, X, Z )
% 1.21/1.61 , Z ), 'c_List_Olast'( X, Z ) ) ],
% 1.21/1.61 [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) )
% 1.21/1.61 , =( 'c_List_Olast'( 'c_List_Odrop'( X, Y, Z ), Z ), 'c_List_Olast'( Y, Z
% 1.21/1.61 ) ) ],
% 1.21/1.61 [ 'c_in'( 'c_List_Olast'( X, Y ), 'c_List_Oset'( X, Y ), Y ), =( X,
% 1.21/1.61 'c_List_Olist_ONil' ) ],
% 1.21/1.61 [ =( X, 'c_0' ), =( 'c_List_Olast'( 'c_List_Oreplicate'( X, Y, Z ), Z )
% 1.21/1.61 , Y ) ],
% 1.21/1.61 [ =( 'c_List_Olast'( 'c_append'( X, 'c_List_Olist_OCons'( Y,
% 1.21/1.61 'c_List_Olist_ONil', Z ), Z ), Z ), Y ) ],
% 1.21/1.61 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_List_Olast'( 'c_List_Oupt'( X,
% 1.21/1.61 Y ), 'tc_nat' ), 'c_minus'( Y, 'c_1', 'tc_nat' ) ) ],
% 1.21/1.61 [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_0' ) ), =( X,
% 1.21/1.61 'c_List_Olist_ONil' ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_List_Olist_ONil', 'tc_List_Olist'( X ) ), 'c_0' )
% 1.21/1.61 ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_append'( X, Y, Z ), 'tc_List_Olist'( Z ) ),
% 1.21/1.61 'c_plus'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( Y,
% 1.21/1.61 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_List_Obutlast'( X, Y ), 'tc_List_Olist'( Y ) ),
% 1.21/1.61 'c_minus'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_1', 'tc_nat' ) )
% 1.21/1.61 ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_List_Odrop'( X, Y, Z ), 'tc_List_Olist'( Z ) ),
% 1.21/1.61 'c_minus'( 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), X, 'tc_nat' ) ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ ~( 'c_less'( 'c_0', 'c_Nat_Osize'( 'c_List_Olist_ONil',
% 1.21/1.61 'tc_List_Olist'( X ) ), 'tc_nat' ) ) ],
% 1.21/1.61 [ 'c_less'( 'c_0', 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'tc_nat' )
% 1.21/1.61 , =( X, 'c_List_Olist_ONil' ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_List_Olist__update'( X, Y, Z, T ),
% 1.21/1.61 'tc_List_Olist'( T ) ), 'c_Nat_Osize'( X, 'tc_List_Olist'( T ) ) ) ],
% 1.21/1.61 [ ~( =( 'c_Nat_Osize'( 'c_List_Oremdups'( X, Y ), 'tc_List_Olist'( Y ) )
% 1.21/1.61 , 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ) ) ), =( 'c_List_Oremdups'( X,
% 1.21/1.61 Y ), X ) ],
% 1.21/1.61 [ ~( =( 'c_List_Oremdups'( X, Y ), X ) ), =( 'c_Nat_Osize'(
% 1.21/1.61 'c_List_Oremdups'( X, Y ), 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X,
% 1.21/1.61 'tc_List_Olist'( Y ) ) ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_List_Oreplicate'( X, Y, Z ), 'tc_List_Olist'( Z )
% 1.21/1.61 ), X ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_List_Orev'( X, Y ), 'tc_List_Olist'( Y ) ),
% 1.21/1.61 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ) ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_List_Orotate1'( X, Y ), 'tc_List_Olist'( Y ) ),
% 1.21/1.61 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ) ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_List_Orotate'( X, Y, Z ), 'tc_List_Olist'( Z ) )
% 1.21/1.61 , 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ) ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_List_Otake'( X, Y, Z ), 'tc_List_Olist'( Z ) ),
% 1.21/1.61 'c_Orderings_Omin'( 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), X, 'tc_nat'
% 1.21/1.61 ) ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_List_Otl'( X, Y ), 'tc_List_Olist'( Y ) ),
% 1.21/1.61 'c_minus'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_1', 'tc_nat' ) )
% 1.21/1.61 ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_List_Oupt'( X, Y ), 'tc_List_Olist'( 'tc_nat' ) )
% 1.21/1.61 , 'c_minus'( Y, X, 'tc_nat' ) ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_List_Ozip'( X, Y, Z, T ), 'tc_List_Olist'(
% 1.21/1.61 'tc_prod'( Z, T ) ) ), 'c_Orderings_Omin'( 'c_Nat_Osize'( X,
% 1.21/1.61 'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( Y, 'tc_List_Olist'( T ) ),
% 1.21/1.61 'tc_nat' ) ) ],
% 1.21/1.61 [ =( 'c_List_Olexn'( X, 'c_0', Y ), 'c_emptyset' ) ],
% 1.21/1.61 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X, 'tc_List_Olist'( Y ),
% 1.21/1.61 'tc_List_Olist'( Y ) ), 'c_List_Olexord'( Z, Y ), 'tc_prod'(
% 1.21/1.61 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X,
% 1.21/1.61 'c_List_Olist_OCons'( 'c_Main_Olexord__Nil__left__1'( X, Y ),
% 1.21/1.61 'c_Main_Olexord__Nil__left__2'( X, Y ), Y ) ) ],
% 1.21/1.61 [ 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', 'c_List_Olist_OCons'( X, Y, Z )
% 1.21/1.61 , 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olexord'( T, Z )
% 1.21/1.61 , 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ],
% 1.21/1.61 [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil', 'tc_List_Olist'( Y ),
% 1.21/1.61 'tc_List_Olist'( Y ) ), 'c_List_Olexord'( Z, Y ), 'tc_prod'(
% 1.21/1.61 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ) ],
% 1.21/1.61 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.21/1.61 'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.21/1.61 ) ), 'c_List_Olexord'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.21/1.61 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( X, T, Z, Z ), W, 'tc_prod'(
% 1.21/1.61 Z, Z ) ), =( X, T ) ],
% 1.21/1.61 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.21/1.61 'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.21/1.61 ) ), 'c_List_Olexord'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.21/1.61 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( X, T, Z, Z ), W, 'tc_prod'(
% 1.21/1.61 Z, Z ) ), 'c_in'( 'c_Pair'( Y, U, 'tc_List_Olist'( Z ), 'tc_List_Olist'(
% 1.21/1.61 Z ) ), 'c_List_Olexord'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.21/1.61 'tc_List_Olist'( Z ) ) ) ],
% 1.21/1.61 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), 'c_in'(
% 1.21/1.61 'c_Pair'( 'c_List_Olist_OCons'( X, U, Z ), 'c_List_Olist_OCons'( Y, W, Z
% 1.21/1.61 ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olexord'( T, Z
% 1.21/1.61 ), 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ],
% 1.21/1.61 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z )
% 1.21/1.61 ), 'c_List_Olexord'( T, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.21/1.61 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( U, X
% 1.21/1.61 , Z ), 'c_List_Olist_OCons'( U, Y, Z ), 'tc_List_Olist'( Z ),
% 1.21/1.61 'tc_List_Olist'( Z ) ), 'c_List_Olexord'( T, Z ), 'tc_prod'(
% 1.21/1.61 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ],
% 1.21/1.61 [ ~( =( 'c_List_Olist_ONil', 'c_List_Olist_OCons'( X, Y, Z ) ) ) ],
% 1.21/1.61 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil' ) ) ],
% 1.21/1.61 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 1.21/1.61 ) ), =( X, T ) ],
% 1.21/1.61 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 1.21/1.61 ) ), =( Y, U ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_List_Olist_OCons'( X, Y, Z ), 'tc_List_Olist'( Z
% 1.21/1.61 ) ), 'c_plus'( 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'c_Suc'( 'c_0'
% 1.21/1.61 ), 'tc_nat' ) ) ],
% 1.21/1.61 [ =( 'c_List_Olist__inter'( 'c_List_Olist_ONil', X, Y ),
% 1.21/1.61 'c_List_Olist_ONil' ) ],
% 1.21/1.61 [ ~( 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ) ), =( 'c_List_Olist__inter'(
% 1.21/1.61 'c_List_Olist_OCons'( X, T, Z ), Y, Z ), 'c_List_Olist_OCons'( X,
% 1.21/1.61 'c_List_Olist__inter'( T, Y, Z ), Z ) ) ],
% 1.21/1.61 [ 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ), =( 'c_List_Olist__inter'(
% 1.21/1.61 'c_List_Olist_OCons'( X, T, Z ), Y, Z ), 'c_List_Olist__inter'( T, Y, Z )
% 1.21/1.61 ) ],
% 1.21/1.61 [ =( 'c_List_Olist__update'( 'c_List_Olist_ONil', X, Y, Z ),
% 1.21/1.61 'c_List_Olist_ONil' ) ],
% 1.21/1.61 [ ~( 'c_lessequals'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), Z,
% 1.21/1.61 'tc_nat' ) ), =( 'c_List_Olist__update'( X, Z, T, Y ), X ) ],
% 1.21/1.61 [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) )
% 1.21/1.61 , =( 'c_List_Olist__update'( Y, X, 'c_List_Onth'( Y, X, Z ), Z ), Y ) ]
% 1.21/1.61 ,
% 1.21/1.61 [ =( 'c_List_Olist__update'( 'c_append'( X, 'c_List_Olist_OCons'( Y, Z,
% 1.21/1.61 T ), T ), 'c_Nat_Osize'( X, 'tc_List_Olist'( T ) ), U, T ), 'c_append'( X
% 1.21/1.61 , 'c_List_Olist_OCons'( U, Z, T ), T ) ) ],
% 1.21/1.61 [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) )
% 1.21/1.61 , =( 'c_List_Olist__update'( 'c_List_Olist__update'( Y, X, T, Z ), X, U,
% 1.21/1.61 Z ), 'c_List_Olist__update'( Y, X, U, Z ) ) ],
% 1.21/1.61 [ =( 'c_Relation_OImage'( 'c_List_Olistrel'( X, Y ), 'c_insert'(
% 1.21/1.61 'c_List_Olist_ONil', 'c_emptyset', 'tc_List_Olist'( Y ) ),
% 1.21/1.61 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_insert'(
% 1.21/1.61 'c_List_Olist_ONil', 'c_emptyset', 'tc_List_Olist'( Y ) ) ) ],
% 1.21/1.61 [ =( 'c_List_Olists'( 'c_inter'( X, Y, Z ), Z ), 'c_inter'(
% 1.21/1.61 'c_List_Olists'( X, Z ), 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) )
% 1.21/1.61 ) ],
% 1.21/1.61 [ =( 'c_List_Olists'( 'c_UNIV', X ), 'c_UNIV' ) ],
% 1.21/1.61 [ =( 'c_List_Olistset'( 'c_List_Olist_ONil', X ), 'c_insert'(
% 1.21/1.61 'c_List_Olist_ONil', 'c_emptyset', 'tc_List_Olist'( X ) ) ) ],
% 1.21/1.61 [ =( 'c_List_Olistset'( 'c_List_Olist_OCons'( X, Y, 'tc_set'( Z ) ), Z )
% 1.21/1.61 , 'c_List_Oset__Cons'( X, 'c_List_Olistset'( Y, Z ), Z ) ) ],
% 1.21/1.61 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.21/1.61 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble9', V10 ), V3 ) ],
% 1.21/1.61 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.21/1.61 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleA', V10 ), V4 ) ],
% 1.21/1.61 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.21/1.61 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleB', V10 ), V5 ) ],
% 1.21/1.61 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.21/1.61 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleC', V10 ), V6 ) ],
% 1.21/1.61 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.21/1.61 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleD', V10 ), V7 ) ],
% 1.21/1.61 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.21/1.61 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleE', V10 ), V8 ) ],
% 1.21/1.61 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.21/1.61 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleF', V10 ), V9 ) ],
% 1.21/1.61 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.21/1.61 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble0', V10 ), X ) ],
% 1.21/1.61 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.21/1.61 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble1', V10 ), Y ) ],
% 1.21/1.61 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.21/1.61 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble2', V10 ), Z ) ],
% 1.21/1.61 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.21/1.61 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble3', V10 ), T ) ],
% 1.21/1.61 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.21/1.61 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble4', V10 ), U ) ],
% 1.21/1.61 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.21/1.61 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble5', V10 ), W ) ],
% 1.21/1.61 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.21/1.61 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble6', V10 ), V0 ) ],
% 1.21/1.61 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.21/1.61 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble7', V10 ), V1 ) ],
% 1.21/1.61 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.21/1.61 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble8', V10 ), V2 ) ],
% 1.21/1.61 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.21/1.61 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble9', V10 ), V3 ) ],
% 1.21/1.61 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.21/1.61 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleA', V10 ), V4 ) ],
% 1.21/1.61 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.21/1.61 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleB', V10 ), V5 ) ],
% 1.21/1.61 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.21/1.61 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleC', V10 ), V6 ) ],
% 1.21/1.61 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.21/1.61 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleD', V10 ), V7 ) ],
% 1.21/1.61 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.21/1.61 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleE', V10 ), V8 ) ],
% 1.21/1.61 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.21/1.61 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleF', V10 ), V9 ) ],
% 1.21/1.61 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.21/1.61 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble0', V10 ), X ) ],
% 1.21/1.61 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.21/1.61 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble1', V10 ), Y ) ],
% 1.21/1.61 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.21/1.61 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble2', V10 ), Z ) ],
% 1.21/1.61 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.21/1.61 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble3', V10 ), T ) ],
% 1.21/1.61 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.21/1.61 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble4', V10 ), U ) ],
% 1.21/1.61 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.21/1.61 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble5', V10 ), W ) ],
% 1.21/1.61 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.21/1.61 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble6', V10 ), V0 ) ],
% 1.21/1.61 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.21/1.61 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble7', V10 ), V1 ) ],
% 1.21/1.61 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.21/1.61 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble8', V10 ), V2 ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble9', 'tc_List_Onibble' ),
% 1.21/1.61 'c_0' ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleA', 'tc_List_Onibble' ),
% 1.21/1.61 'c_0' ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleB', 'tc_List_Onibble' ),
% 1.21/1.61 'c_0' ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleC', 'tc_List_Onibble' ),
% 1.21/1.61 'c_0' ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleD', 'tc_List_Onibble' ),
% 1.21/1.61 'c_0' ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleE', 'tc_List_Onibble' ),
% 1.21/1.61 'c_0' ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleF', 'tc_List_Onibble' ),
% 1.21/1.61 'c_0' ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble0', 'tc_List_Onibble' ),
% 1.21/1.61 'c_0' ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble1', 'tc_List_Onibble' ),
% 1.21/1.61 'c_0' ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble2', 'tc_List_Onibble' ),
% 1.21/1.61 'c_0' ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble3', 'tc_List_Onibble' ),
% 1.21/1.61 'c_0' ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble4', 'tc_List_Onibble' ),
% 1.21/1.61 'c_0' ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble5', 'tc_List_Onibble' ),
% 1.21/1.61 'c_0' ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble6', 'tc_List_Onibble' ),
% 1.21/1.61 'c_0' ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble7', 'tc_List_Onibble' ),
% 1.21/1.61 'c_0' ) ],
% 1.21/1.61 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble8', 'tc_List_Onibble' ),
% 1.21/1.61 'c_0' ) ],
% 1.21/1.61 [ ~( =( X, 'c_List_Olist_OCons'( Y, X, Z ) ) ) ],
% 1.21/1.61 [ ~( 'c_in'( X, 'c_List_Oset'( 'c_List_Oremove1'( Y, Z, T ), T ), T ) )
% 1.21/1.61 , 'c_in'( X, 'c_List_Oset'( Z, T ), T ) ],
% 1.21/1.61 [ ~( 'c_in'( X, 'c_List_Oset'( 'c_List_Osublist'( Y, Z, T ), T ), T ) )
% 1.21/1.61 , 'c_in'( X, 'c_List_Oset'( Y, T ), T ) ],
% 1.21/1.61 [ =( 'c_List_Onth'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_0', Z ), X ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ =( 'c_List_Onth'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_Suc'( T ), Z ),
% 1.21/1.62 'c_List_Onth'( Y, T, Z ) ) ],
% 1.21/1.62 [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ), =(
% 1.21/1.62 'c_List_Onth'( 'c_List_Olist_OCons'( Y, Z, T ), 'c_Numeral_Onumber__of'(
% 1.21/1.62 X, 'tc_nat' ), T ), Y ) ],
% 1.21/1.62 [ =( 'c_List_Onth'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.21/1.62 'c_Numeral_Onumber__of'( T, 'tc_nat' ), Z ), 'c_List_Onth'( Y, 'c_minus'(
% 1.21/1.62 'c_Numeral_Onumber__of'( T, 'tc_nat' ), 'c_1', 'tc_nat' ), Z ) ), =(
% 1.21/1.62 'c_Numeral_Onumber__of'( T, 'tc_nat' ), 'c_0' ) ],
% 1.21/1.62 [ =( 'c_List_Onth'( 'c_append'( X, 'c_List_Olist_OCons'( Y, Z, T ), T )
% 1.21/1.62 , 'c_Nat_Osize'( X, 'tc_List_Olist'( T ) ), T ), Y ) ],
% 1.21/1.62 [ =( 'c_List_Onth'( 'c_append'( X, Y, Z ), 'c_plus'( 'c_Nat_Osize'( X,
% 1.21/1.62 'tc_List_Olist'( Z ) ), T, 'tc_nat' ), Z ), 'c_List_Onth'( Y, T, Z ) ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'c_lessequals'( 'c_plus'( X, Y, 'tc_nat' ), 'c_Nat_Osize'( Z,
% 1.21/1.62 'tc_List_Olist'( T ) ), 'tc_nat' ) ), =( 'c_List_Onth'( 'c_List_Odrop'( X
% 1.21/1.62 , Z, T ), Y, T ), 'c_List_Onth'( Z, 'c_plus'( X, Y, 'tc_nat' ), T ) ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) )
% 1.21/1.62 , =( 'c_List_Onth'( 'c_List_Olist__update'( Y, X, T, Z ), X, Z ), T ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ =( X, Y ), =( 'c_List_Onth'( 'c_List_Olist__update'( Z, X, T, U ), Y,
% 1.21/1.62 U ), 'c_List_Onth'( Z, Y, U ) ) ],
% 1.21/1.62 [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) )
% 1.21/1.62 , 'c_in'( 'c_List_Onth'( Y, X, Z ), 'c_List_Oset'( Y, Z ), Z ) ],
% 1.21/1.62 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_List_Onth'( 'c_List_Oreplicate'(
% 1.21/1.62 Y, Z, T ), X, T ), Z ) ],
% 1.21/1.62 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_List_Onth'( 'c_List_Otake'( Y,
% 1.21/1.62 Z, T ), X, T ), 'c_List_Onth'( Z, X, T ) ) ],
% 1.21/1.62 [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ) ), =(
% 1.21/1.62 'c_List_Onth'( 'c_List_Oupt'( X, Z ), Y, 'tc_nat' ), 'c_plus'( X, Y,
% 1.21/1.62 'tc_nat' ) ) ],
% 1.21/1.62 [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) )
% 1.21/1.62 , ~( 'c_less'( X, 'c_Nat_Osize'( T, 'tc_List_Olist'( U ) ), 'tc_nat' ) )
% 1.21/1.62 , =( 'c_List_Onth'( 'c_List_Ozip'( T, Y, U, Z ), X, 'tc_prod'( U, Z ) ),
% 1.21/1.62 'c_Pair'( 'c_List_Onth'( T, X, U ), 'c_List_Onth'( Y, X, Z ), U, Z ) ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ 'c_List_Onull'( 'c_List_Olist_ONil', X ) ],
% 1.21/1.62 [ ~( 'c_List_Onull'( 'c_List_Olist_OCons'( X, Y, Z ), Z ) ) ],
% 1.21/1.62 [ =( 'c_append'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ),
% 1.21/1.62 'c_List_Olist_OCons'( X, 'c_append'( Y, T, Z ), Z ) ) ],
% 1.21/1.62 [ ~( 'c_List_Oop_Amem'( X, 'c_List_Olist_ONil', Y ) ) ],
% 1.21/1.62 [ ~( 'c_List_Oop_Amem'( X, 'c_List_Olist_OCons'( Y, Z, T ), T ) ),
% 1.21/1.62 'c_List_Oop_Amem'( X, Z, T ), =( Y, X ) ],
% 1.21/1.62 [ 'c_List_Oop_Amem'( X, 'c_List_Olist_OCons'( X, Y, Z ), Z ) ],
% 1.21/1.62 [ ~( 'c_List_Oop_Amem'( X, Y, Z ) ), 'c_List_Oop_Amem'( X,
% 1.21/1.62 'c_List_Olist_OCons'( T, Y, Z ), Z ) ],
% 1.21/1.62 [ ~( 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ) ), =( 'c_List_Oremdups'(
% 1.21/1.62 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_List_Oremdups'( Y, Z ) ) ],
% 1.21/1.62 [ 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ), =( 'c_List_Oremdups'(
% 1.21/1.62 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_List_Olist_OCons'( X,
% 1.21/1.62 'c_List_Oremdups'( Y, Z ), Z ) ) ],
% 1.21/1.62 [ ~( =( 'c_List_Oremdups'( X, Y ), 'c_List_Olist_ONil' ) ), =( X,
% 1.21/1.62 'c_List_Olist_ONil' ) ],
% 1.21/1.62 [ =( 'c_List_Oremdups'( 'c_List_Olist_ONil', X ), 'c_List_Olist_ONil' )
% 1.21/1.62 ],
% 1.21/1.62 [ ~( =( 'c_List_Olist_ONil', 'c_List_Oremdups'( X, Y ) ) ), =( X,
% 1.21/1.62 'c_List_Olist_ONil' ) ],
% 1.21/1.62 [ =( 'c_List_Olist_ONil', 'c_List_Oremdups'( 'c_List_Olist_ONil', X ) )
% 1.21/1.62 ],
% 1.21/1.62 [ =( 'c_List_Oremove1'( X, 'c_List_Olist_ONil', Y ), 'c_List_Olist_ONil'
% 1.21/1.62 ) ],
% 1.21/1.62 [ =( 'c_List_Oremove1'( X, 'c_List_Olist_OCons'( X, Y, Z ), Z ), Y ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ =( X, Y ), =( 'c_List_Oremove1'( X, 'c_List_Olist_OCons'( Y, Z, T ), T
% 1.21/1.62 ), 'c_List_Olist_OCons'( Y, 'c_List_Oremove1'( X, Z, T ), T ) ) ],
% 1.21/1.62 [ =( 'c_List_Oreplicate'( 'c_0', X, Y ), 'c_List_Olist_ONil' ) ],
% 1.21/1.62 [ =( 'c_List_Oreplicate'( 'c_Suc'( X ), Y, Z ), 'c_List_Olist_OCons'( Y
% 1.21/1.62 , 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ],
% 1.21/1.62 [ =( 'c_List_Orev'( 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_append'(
% 1.21/1.62 'c_List_Orev'( Y, Z ), 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Z )
% 1.21/1.62 , Z ) ) ],
% 1.21/1.62 [ =( 'c_List_Orev'( 'c_append'( X, Y, Z ), Z ), 'c_append'(
% 1.21/1.62 'c_List_Orev'( Y, Z ), 'c_List_Orev'( X, Z ), Z ) ) ],
% 1.21/1.62 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z, T, Y ) ) ), =( X
% 1.21/1.62 , 'c_append'( 'c_List_Orev'( T, Y ), 'c_List_Olist_OCons'( Z,
% 1.21/1.62 'c_List_Olist_ONil', Y ), Y ) ) ],
% 1.21/1.62 [ =( 'c_List_Orev'( 'c_append'( 'c_List_Orev'( X, Y ),
% 1.21/1.62 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil', Y ), Y ), Y ),
% 1.21/1.62 'c_List_Olist_OCons'( Z, X, Y ) ) ],
% 1.21/1.62 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_ONil' ) ), =( X,
% 1.21/1.62 'c_List_Olist_ONil' ) ],
% 1.21/1.62 [ =( 'c_List_Orev'( 'c_List_Olist_ONil', X ), 'c_List_Olist_ONil' ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Orev'( Z, Y ) ) ), =( X, Z ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ =( 'c_List_Orev'( 'c_List_Oreplicate'( X, Y, Z ), Z ),
% 1.21/1.62 'c_List_Oreplicate'( X, Y, Z ) ) ],
% 1.21/1.62 [ =( 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ), X ) ],
% 1.21/1.62 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z,
% 1.21/1.62 'c_List_Olist_ONil', Y ) ) ), =( X, 'c_List_Olist_OCons'( Z,
% 1.21/1.62 'c_List_Olist_ONil', Y ) ) ],
% 1.21/1.62 [ =( 'c_List_Orev'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ), Y
% 1.21/1.62 ), 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ) ) ],
% 1.21/1.62 [ ~( =( 'c_List_Orotate1'( X, Y ), 'c_List_Olist_ONil' ) ), =( X,
% 1.21/1.62 'c_List_Olist_ONil' ) ],
% 1.21/1.62 [ =( 'c_List_Orotate1'( 'c_List_Olist_ONil', X ), 'c_List_Olist_ONil' )
% 1.21/1.62 ],
% 1.21/1.62 [ ~( 'c_lessequals'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_1',
% 1.21/1.62 'tc_nat' ) ), =( 'c_List_Orotate1'( X, Y ), X ) ],
% 1.21/1.62 [ =( 'c_List_Orotate'( 'c_Suc'( X ), Y, Z ), 'c_List_Orotate1'(
% 1.21/1.62 'c_List_Orotate'( X, Y, Z ), Z ) ) ],
% 1.21/1.62 [ ~( =( 'c_Divides_Oop_Amod'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z )
% 1.21/1.62 ), 'tc_nat' ), 'c_0' ) ), =( 'c_List_Orotate'( X, Y, Z ), Y ) ],
% 1.21/1.62 [ ~( =( 'c_List_Orotate'( X, Y, Z ), 'c_List_Olist_ONil' ) ), =( Y,
% 1.21/1.62 'c_List_Olist_ONil' ) ],
% 1.21/1.62 [ =( 'c_List_Orotate'( X, 'c_List_Olist_ONil', Y ), 'c_List_Olist_ONil'
% 1.21/1.62 ) ],
% 1.21/1.62 [ ~( 'c_lessequals'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_1',
% 1.21/1.62 'tc_nat' ) ), =( 'c_List_Orotate'( Z, X, Y ), X ) ],
% 1.21/1.62 [ ~( =( 'c_append'( X, Y, Z ), 'c_append'( X, T, Z ) ) ), =( Y, T ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( =( X, 'c_append'( Y, X, Z ) ) ), =( Y, 'c_List_Olist_ONil' ) ],
% 1.21/1.62 [ =( X, 'c_append'( 'c_List_Olist_ONil', X, Y ) ) ],
% 1.21/1.62 [ ~( =( X, 'c_append'( X, Y, Z ) ) ), =( Y, 'c_List_Olist_ONil' ) ],
% 1.21/1.62 [ =( X, 'c_append'( X, 'c_List_Olist_ONil', Y ) ) ],
% 1.21/1.62 [ =( 'c_List_Oset'( 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_insert'( X
% 1.21/1.62 , 'c_List_Oset'( Y, Z ), Z ) ) ],
% 1.21/1.62 [ =( 'c_List_Oset'( 'c_append'( X, Y, Z ), Z ), 'c_union'( 'c_List_Oset'(
% 1.21/1.62 X, Z ), 'c_List_Oset'( Y, Z ), Z ) ) ],
% 1.21/1.62 [ ~( =( 'c_emptyset', 'c_List_Oset'( X, Y ) ) ), =( X,
% 1.21/1.62 'c_List_Olist_ONil' ) ],
% 1.21/1.62 [ =( 'c_emptyset', 'c_List_Oset'( 'c_List_Olist_ONil', X ) ) ],
% 1.21/1.62 [ ~( =( 'c_List_Oset'( X, Y ), 'c_emptyset' ) ), =( X,
% 1.21/1.62 'c_List_Olist_ONil' ) ],
% 1.21/1.62 [ =( 'c_List_Oset'( 'c_List_Olist_ONil', X ), 'c_emptyset' ) ],
% 1.21/1.62 [ =( 'c_List_Oset'( 'c_List_Oremdups'( X, Y ), Y ), 'c_List_Oset'( X, Y
% 1.21/1.62 ) ) ],
% 1.21/1.62 [ ~( 'c_List_Odistinct'( X, Y ) ), =( 'c_List_Oset'( 'c_List_Oremove1'(
% 1.21/1.62 Z, X, Y ), Y ), 'c_minus'( 'c_List_Oset'( X, Y ), 'c_insert'( Z,
% 1.21/1.62 'c_emptyset', Y ), 'tc_set'( Y ) ) ) ],
% 1.21/1.62 [ =( X, 'c_0' ), =( 'c_List_Oset'( 'c_List_Oreplicate'( X, Y, Z ), Z ),
% 1.21/1.62 'c_insert'( Y, 'c_emptyset', Z ) ) ],
% 1.21/1.62 [ =( 'c_List_Oset'( 'c_List_Orev'( X, Y ), Y ), 'c_List_Oset'( X, Y ) )
% 1.21/1.62 ],
% 1.21/1.62 [ =( 'c_List_Oset'( 'c_List_Orotate1'( X, Y ), Y ), 'c_List_Oset'( X, Y
% 1.21/1.62 ) ) ],
% 1.21/1.62 [ =( 'c_List_Oset'( 'c_List_Orotate'( X, Y, Z ), Z ), 'c_List_Oset'( Y,
% 1.21/1.62 Z ) ) ],
% 1.21/1.62 [ ~( =( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ), 'c_List_Orev'(
% 1.21/1.62 Z, Y ) ) ), =( Z, 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ) ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ =( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ), 'c_List_Orev'(
% 1.21/1.62 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ), Y ) ) ],
% 1.21/1.62 [ =( 'c_List_Osublist'( X, 'c_emptyset', Y ), 'c_List_Olist_ONil' ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ =( 'c_List_Osublist'( 'c_List_Olist_ONil', X, Y ), 'c_List_Olist_ONil'
% 1.21/1.62 ) ],
% 1.21/1.62 [ ~( 'c_in'( 'c_0', X, 'tc_nat' ) ), =( 'c_List_Osublist'(
% 1.21/1.62 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z ), X, Z ),
% 1.21/1.62 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z ) ) ],
% 1.21/1.62 [ 'c_in'( 'c_0', X, 'tc_nat' ), =( 'c_List_Osublist'(
% 1.21/1.62 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z ), X, Z ),
% 1.21/1.62 'c_List_Olist_ONil' ) ],
% 1.21/1.62 [ =( 'c_List_Osublist'( X, 'c_SetInterval_OlessThan'( Y, 'tc_nat' ), Z )
% 1.21/1.62 , 'c_List_Otake'( Y, X, Z ) ) ],
% 1.21/1.62 [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ), =(
% 1.21/1.62 'c_List_Otake'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.21/1.62 'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_List_Olist_ONil' ) ],
% 1.21/1.62 [ =( 'c_List_Otake'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.21/1.62 'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_List_Olist_OCons'( Y,
% 1.21/1.62 'c_List_Otake'( 'c_minus'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_1'
% 1.21/1.62 , 'tc_nat' ), Z, T ), T ) ), =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.21/1.62 'c_0' ) ],
% 1.21/1.62 [ =( 'c_List_Otake'( 'c_Suc'( X ), 'c_List_Olist_OCons'( Y, Z, T ), T )
% 1.21/1.62 , 'c_List_Olist_OCons'( Y, 'c_List_Otake'( X, Z, T ), T ) ) ],
% 1.21/1.62 [ ~( 'c_lessequals'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), Z,
% 1.21/1.62 'tc_nat' ) ), =( 'c_List_Otake'( Z, X, Y ), X ) ],
% 1.21/1.62 [ =( 'c_List_Otake'( X, 'c_append'( Y, Z, T ), T ), 'c_append'(
% 1.21/1.62 'c_List_Otake'( X, Y, T ), 'c_List_Otake'( 'c_minus'( X, 'c_Nat_Osize'( Y
% 1.21/1.62 , 'tc_List_Olist'( T ) ), 'tc_nat' ), Z, T ), T ) ) ],
% 1.21/1.62 [ ~( =( 'c_List_Otake'( X, Y, Z ), 'c_List_Olist_ONil' ) ), =( X, 'c_0'
% 1.21/1.62 ), =( Y, 'c_List_Olist_ONil' ) ],
% 1.21/1.62 [ =( 'c_List_Otake'( 'c_0', X, Y ), 'c_List_Olist_ONil' ) ],
% 1.21/1.62 [ =( 'c_List_Otake'( X, 'c_List_Olist_ONil', Y ), 'c_List_Olist_ONil' )
% 1.21/1.62 ],
% 1.21/1.62 [ =( 'c_List_Otake'( X, 'c_List_Oreplicate'( Y, Z, T ), T ),
% 1.21/1.62 'c_List_Oreplicate'( 'c_Orderings_Omin'( X, Y, 'tc_nat' ), Z, T ) ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ =( 'c_List_Otake'( X, 'c_List_Otake'( Y, Z, T ), T ), 'c_List_Otake'(
% 1.21/1.62 'c_Orderings_Omin'( X, Y, 'tc_nat' ), Z, T ) ) ],
% 1.21/1.62 [ ~( 'c_lessequals'( 'c_plus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ) ), =(
% 1.21/1.62 'c_List_Otake'( Y, 'c_List_Oupt'( X, Z ), 'tc_nat' ), 'c_List_Oupt'( X,
% 1.21/1.62 'c_plus'( X, Y, 'tc_nat' ) ) ) ],
% 1.21/1.62 [ =( 'c_List_Otl'( 'c_List_Olist_ONil', X ), 'c_List_Olist_ONil' ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ =( 'c_List_Otl'( 'c_List_Olist_OCons'( X, Y, Z ), Z ), Y ) ],
% 1.21/1.62 [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Otl'( 'c_append'( X, Y, Z ), Z
% 1.21/1.62 ), 'c_append'( 'c_List_Otl'( X, Z ), Y, Z ) ) ],
% 1.21/1.62 [ =( X, 'c_0' ), =( 'c_List_Otl'( 'c_List_Oreplicate'( X, Y, Z ), Z ),
% 1.21/1.62 'c_List_Oreplicate'( 'c_minus'( X, 'c_1', 'tc_nat' ), Y, Z ) ) ],
% 1.21/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_List_Oupt'( X, 'c_Suc'( Y
% 1.21/1.62 ) ), 'c_append'( 'c_List_Oupt'( X, Y ), 'c_List_Olist_OCons'( Y,
% 1.21/1.62 'c_List_Olist_ONil', 'tc_nat' ), 'tc_nat' ) ) ],
% 1.21/1.62 [ 'c_lessequals'( X, Y, 'tc_nat' ), =( 'c_List_Oupt'( X, 'c_Suc'( Y ) )
% 1.21/1.62 , 'c_List_Olist_ONil' ) ],
% 1.21/1.62 [ ~( =( 'c_List_Oupt'( X, Y ), 'c_List_Olist_ONil' ) ), 'c_lessequals'(
% 1.21/1.62 Y, X, 'tc_nat' ), =( Y, 'c_0' ) ],
% 1.21/1.62 [ =( 'c_List_Oupt'( X, 'c_0' ), 'c_List_Olist_ONil' ) ],
% 1.21/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_List_Oupt'( Y, X ),
% 1.21/1.62 'c_List_Olist_ONil' ) ],
% 1.21/1.62 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), Y ) ) ],
% 1.21/1.62 [ =( 'c_List_Ozip'( X, 'c_List_Olist_ONil', Y, Z ), 'c_List_Olist_ONil'
% 1.21/1.62 ) ],
% 1.21/1.62 [ =( 'c_List_Ozip'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.21/1.62 'c_List_Olist_OCons'( T, U, W ), Z, W ), 'c_List_Olist_OCons'( 'c_Pair'(
% 1.21/1.62 X, T, Z, W ), 'c_List_Ozip'( Y, U, Z, W ), 'tc_prod'( Z, W ) ) ) ],
% 1.21/1.62 [ =( 'c_List_Ozip'( 'c_List_Olist_ONil', X, Y, Z ), 'c_List_Olist_ONil'
% 1.21/1.62 ) ],
% 1.21/1.62 [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( Z,
% 1.21/1.62 'tc_List_Olist'( T ) ) ) ), ~( =( 'c_Nat_Osize'( U, 'tc_List_Olist'( Y )
% 1.21/1.62 ), 'c_Nat_Osize'( W, 'tc_List_Olist'( T ) ) ) ), =( 'c_List_Ozip'(
% 1.21/1.62 'c_append'( U, X, Y ), 'c_append'( W, Z, T ), Y, T ), 'c_append'(
% 1.21/1.62 'c_List_Ozip'( U, W, Y, T ), 'c_List_Ozip'( X, Z, Y, T ), 'tc_prod'( Y, T
% 1.21/1.62 ) ) ) ],
% 1.21/1.62 [ =( 'c_List_Ozip'( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Oreplicate'(
% 1.21/1.62 T, U, W ), Z, W ), 'c_List_Oreplicate'( 'c_Orderings_Omin'( X, T,
% 1.21/1.62 'tc_nat' ), 'c_Pair'( Y, U, Z, W ), 'tc_prod'( Z, W ) ) ) ],
% 1.21/1.62 [ ~( 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ) ), ~( =( 'c_Map_Omap__of'(
% 1.21/1.62 'c_List_Ozip'( Y, T, Z, U ), X, Z, U ), 'c_Datatype_Ooption_ONone' ) ),
% 1.21/1.62 ~( =( 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( T,
% 1.21/1.62 'tc_List_Olist'( U ) ) ) ) ],
% 1.21/1.62 [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( Z,
% 1.21/1.62 'tc_List_Olist'( T ) ) ) ), 'c_in'( U, 'c_List_Oset'( X, Y ), Y ), =(
% 1.21/1.62 'c_Map_Omap__of'( 'c_List_Ozip'( X, Z, Y, T ), U, Y, T ),
% 1.21/1.62 'c_Datatype_Ooption_ONone' ) ],
% 1.21/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_plus'( 'c_minus'( Y, X,
% 1.21/1.62 'tc_nat' ), Z, 'tc_nat' ), 'c_minus'( 'c_plus'( Y, Z, 'tc_nat' ), X,
% 1.21/1.62 'tc_nat' ) ) ],
% 1.21/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_plus'( Z, 'c_minus'( Y, X
% 1.21/1.62 , 'tc_nat' ), 'tc_nat' ), 'c_minus'( 'c_plus'( Z, Y, 'tc_nat' ), X,
% 1.21/1.62 'tc_nat' ) ) ],
% 1.21/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_minus'( Z, 'c_Suc'(
% 1.21/1.62 'c_minus'( Y, X, 'tc_nat' ) ), 'tc_nat' ), 'c_minus'( 'c_plus'( Z, X,
% 1.21/1.62 'tc_nat' ), 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 1.21/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_minus'( 'c_Suc'(
% 1.21/1.62 'c_minus'( Y, X, 'tc_nat' ) ), Z, 'tc_nat' ), 'c_minus'( 'c_Suc'( Y ),
% 1.21/1.62 'c_plus'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.21/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_minus'( Y, 'c_minus'( Y,
% 1.21/1.62 X, 'tc_nat' ), 'tc_nat' ), X ) ],
% 1.21/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_minus'( Z, 'c_minus'( Y,
% 1.21/1.62 X, 'tc_nat' ), 'tc_nat' ), 'c_minus'( 'c_plus'( Z, X, 'tc_nat' ), Y,
% 1.21/1.62 'tc_nat' ) ) ],
% 1.21/1.62 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), ~( 'c_less'( 'c_0', Y, 'tc_nat' )
% 1.21/1.62 ), 'c_less'( 'c_minus'( X, Y, 'tc_nat' ), X, 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), =(
% 1.21/1.62 'c_NatArith_Oof__nat'( 'c_Suc'( Y ), X ), 'c_plus'( 'c_NatArith_Oof__nat'(
% 1.21/1.62 Y, X ), 'c_1', X ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( 'c_0',
% 1.21/1.62 'c_NatArith_Oof__nat'( Y, X ) ) ), =( 'c_0', Y ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), =( 'c_0',
% 1.21/1.62 'c_NatArith_Oof__nat'( 'c_0', X ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.21/1.62 'c_0', 'c_NatArith_Oof__nat'( Y, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_0', 'c_NatArith_Oof__nat'( Y, X ), X ) ), 'c_less'( 'c_0', Y, 'tc_nat'
% 1.21/1.62 ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_0', Y, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_NatArith_Oof__nat'( Y, X ), X
% 1.21/1.62 ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), =(
% 1.21/1.62 'c_NatArith_Oof__nat'( 'c_1', X ), 'c_1' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), =(
% 1.21/1.62 'c_NatArith_Oof__nat'( 'c_plus'( Y, Z, 'tc_nat' ), X ), 'c_plus'(
% 1.21/1.62 'c_NatArith_Oof__nat'( Y, X ), 'c_NatArith_Oof__nat'( Z, X ), X ) ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 Y, Z, 'tc_nat' ) ), =( 'c_NatArith_Oof__nat'( 'c_minus'( Z, Y, 'tc_nat' )
% 1.21/1.62 , X ), 'c_minus'( 'c_NatArith_Oof__nat'( Z, X ), 'c_NatArith_Oof__nat'( Y
% 1.21/1.62 , X ), X ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 1.21/1.62 'c_NatArith_Oof__nat'( Y, X ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), =(
% 1.21/1.62 'c_NatArith_Oof__nat'( 'c_0', X ), 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 1.21/1.62 'c_NatArith_Oof__nat'( Y, X ), 'c_NatArith_Oof__nat'( Z, X ) ) ), =( Y, Z
% 1.21/1.62 ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.21/1.62 'c_lessequals'( 'c_NatArith_Oof__nat'( Y, X ), 'c_0', X ) ), =( Y, 'c_0'
% 1.21/1.62 ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.21/1.62 'c_NatArith_Oof__nat'( 'c_0', X ), 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.21/1.62 'c_lessequals'( 'c_NatArith_Oof__nat'( Y, X ), 'c_NatArith_Oof__nat'( Z,
% 1.21/1.62 X ), X ) ), 'c_lessequals'( Y, Z, 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.21/1.62 'c_lessequals'( Y, Z, 'tc_nat' ) ), 'c_lessequals'( 'c_NatArith_Oof__nat'(
% 1.21/1.62 Y, X ), 'c_NatArith_Oof__nat'( Z, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_NatArith_Oof__nat'( Y, X ), 'c_0', X ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_NatArith_Oof__nat'( Y, X ), 'c_NatArith_Oof__nat'( Z, X ), X ) ),
% 1.21/1.62 'c_less'( Y, Z, 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( Y,
% 1.21/1.62 Z, 'tc_nat' ) ), 'c_less'( 'c_NatArith_Oof__nat'( Y, X ),
% 1.21/1.62 'c_NatArith_Oof__nat'( Z, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), =(
% 1.21/1.62 'c_NatArith_Oof__nat'( 'c_times'( Y, Z, 'tc_nat' ), X ), 'c_times'(
% 1.21/1.62 'c_NatArith_Oof__nat'( Y, X ), 'c_NatArith_Oof__nat'( Z, X ), X ) ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ) ), =( 'c_Suc'( 'c_Numeral_Onumber__of'( X, 'tc_nat' )
% 1.21/1.62 ), 'c_1' ) ],
% 1.21/1.62 [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ), =( 'c_Suc'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ) )
% 1.21/1.62 , 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__succ'( X ), 'tc_nat' ) ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ) ), =( 'c_plus'( 'c_Numeral_Onumber__of'( X, 'tc_nat' )
% 1.21/1.62 , 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ),
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ],
% 1.21/1.62 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ) ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y,
% 1.21/1.62 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_plus'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_Numeral_Onumber__of'( X,
% 1.21/1.62 'tc_nat' ), 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ],
% 1.21/1.62 [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y,
% 1.21/1.62 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_plus'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_Numeral_Onumber__of'( X,
% 1.21/1.62 'tc_nat' ), 'tc_nat' ), 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y
% 1.21/1.62 , X ), 'tc_nat' ) ) ],
% 1.21/1.62 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ) ), =( 'c_div'( 'c_Numeral_Onumber__of'( X, 'tc_nat' )
% 1.21/1.62 , 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_0' ) ],
% 1.21/1.62 [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ), =( 'c_div'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_IntDef_Onat'(
% 1.21/1.62 'c_div'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'c_Divides_Oop_Advd'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), =(
% 1.21/1.62 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ),
% 1.21/1.62 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ), 'c_0' ) ],
% 1.21/1.62 [ ~( =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_0' ) ),
% 1.21/1.62 'c_Divides_Oop_Advd'( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ),
% 1.21/1.62 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ) ],
% 1.21/1.62 [ ~( =( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_nat' ) ) ),
% 1.21/1.62 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.21/1.62 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.21/1.62 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ) ), =( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_nat' ) )
% 1.21/1.62 ],
% 1.21/1.62 [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.21/1.62 , 'tc_IntDef_Oint' ) ), =( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_nat' )
% 1.21/1.62 ) ],
% 1.21/1.62 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ) ), ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ), 'c_IntDef_Oiszero'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.21/1.62 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ) ],
% 1.21/1.62 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ) ), ~( =( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ),
% 1.21/1.62 'c_Numeral_Onumber__of'( X, 'tc_nat' ) ) ), 'c_IntDef_Oiszero'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.21/1.62 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ) ],
% 1.21/1.62 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y,
% 1.21/1.62 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_Numeral_Onumber__of'( X,
% 1.21/1.62 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ],
% 1.21/1.62 [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.21/1.62 , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y,
% 1.21/1.62 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =(
% 1.21/1.62 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y,
% 1.21/1.62 'tc_nat' ) ) ],
% 1.21/1.62 [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.21/1.62 , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'(
% 1.21/1.62 'c_Numeral_Obin__add'( X, 'c_Numeral_Obin__minus'( Y ) ),
% 1.21/1.62 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =(
% 1.21/1.62 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y,
% 1.21/1.62 'tc_nat' ) ) ],
% 1.21/1.62 [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'(
% 1.21/1.62 Y, 'tc_nat' ) ) ), 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'(
% 1.21/1.62 'c_Numeral_Obin__add'( X, 'c_Numeral_Obin__minus'( Y ) ),
% 1.21/1.62 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_IntDef_Oneg'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.21/1.62 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ) ],
% 1.21/1.62 [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'(
% 1.21/1.62 X, 'c_Numeral_Obin__minus'( Y ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' )
% 1.21/1.62 ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.21/1.62 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_Numeral_Onumber__of'( X,
% 1.21/1.62 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ],
% 1.21/1.62 [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.21/1.62 , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y,
% 1.21/1.62 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_IntDef_Oneg'(
% 1.21/1.62 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =(
% 1.21/1.62 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y,
% 1.21/1.62 'tc_nat' ) ) ],
% 1.21/1.62 [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.21/1.62 , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'(
% 1.21/1.62 'c_Numeral_Obin__add'( X, 'c_Numeral_Obin__minus'( Y ) ),
% 1.21/1.62 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_IntDef_Oneg'(
% 1.21/1.62 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =(
% 1.21/1.62 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y,
% 1.21/1.62 'tc_nat' ) ) ],
% 1.21/1.62 [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.21/1.62 , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y,
% 1.21/1.62 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_Numeral_Onumber__of'( Y,
% 1.21/1.62 'tc_nat' ), 'c_Numeral_Onumber__of'( X, 'tc_nat' ) ) ],
% 1.21/1.62 [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.21/1.62 , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'(
% 1.21/1.62 'c_Numeral_Obin__add'( Y, 'c_Numeral_Obin__minus'( X ) ),
% 1.21/1.62 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_IntDef_Oneg'(
% 1.21/1.62 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_Numeral_Onumber__of'( X,
% 1.21/1.62 'tc_nat' ) ) ],
% 1.21/1.62 [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.21/1.62 , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( Y
% 1.21/1.62 , 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =(
% 1.21/1.62 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y,
% 1.21/1.62 'tc_nat' ) ) ],
% 1.21/1.62 [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.21/1.62 , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( Y
% 1.21/1.62 , 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'(
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( X,
% 1.21/1.62 'c_Numeral_Obin__minus'( Y ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) )
% 1.21/1.62 , =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y,
% 1.21/1.62 'tc_nat' ) ) ],
% 1.21/1.62 [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ),
% 1.21/1.62 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.21/1.62 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.21/1.62 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ) ), =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' )
% 1.21/1.62 ],
% 1.21/1.62 [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.21/1.62 , 'tc_IntDef_Oint' ) ), =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0'
% 1.21/1.62 ) ],
% 1.21/1.62 [ =( 'c_IntDef_Oint'( 'c_plus'( X, Y, 'tc_nat' ) ), 'c_plus'(
% 1.21/1.62 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ) ],
% 1.21/1.62 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ) ), =( 'c_IntDef_Oint'( 'c_Numeral_Onumber__of'( X,
% 1.21/1.62 'tc_nat' ) ), 'c_0' ) ],
% 1.21/1.62 [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ), =( 'c_IntDef_Oint'( 'c_Numeral_Onumber__of'( X,
% 1.21/1.62 'tc_nat' ) ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ) ) ],
% 1.21/1.62 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' )
% 1.21/1.62 ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__minus'( X
% 1.21/1.62 ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.21/1.62 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__minus'(
% 1.21/1.62 X ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_less'( 'c_0',
% 1.21/1.62 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_nat' )
% 1.21/1.62 , 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), 'c_IntDef_Oneg'(
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__minus'( Y ), 'tc_IntDef_Oint' )
% 1.21/1.62 , 'tc_IntDef_Oint' ) ],
% 1.21/1.62 [ ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), 'c_IntDef_Oneg'(
% 1.21/1.62 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.21/1.62 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( X,
% 1.21/1.62 'c_Numeral_Obin__minus'( Y ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( X
% 1.21/1.62 , 'c_Numeral_Obin__minus'( Y ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' )
% 1.21/1.62 ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ), 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'(
% 1.21/1.62 'c_Numeral_Obin__minus'( Y ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ),
% 1.21/1.62 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'(
% 1.21/1.62 Y, 'tc_nat' ), 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( X
% 1.21/1.62 , 'c_Numeral_Obin__minus'( Y ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' )
% 1.21/1.62 ), ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__minus'(
% 1.21/1.62 Y ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_less'(
% 1.21/1.62 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y,
% 1.21/1.62 'tc_nat' ), 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X
% 1.21/1.62 , 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_0' )
% 1.21/1.62 ],
% 1.21/1.62 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ) ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y,
% 1.21/1.62 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_Divides_Oop_Amod'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_Numeral_Onumber__of'( X,
% 1.21/1.62 'tc_nat' ), 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ],
% 1.21/1.62 [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y,
% 1.21/1.62 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_Divides_Oop_Amod'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_Numeral_Onumber__of'( X,
% 1.21/1.62 'tc_nat' ), 'tc_nat' ), 'c_IntDef_Onat'( 'c_Divides_Oop_Amod'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.21/1.62 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ) ],
% 1.21/1.62 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ) ), =( 'c_times'( 'c_Numeral_Onumber__of'( X, 'tc_nat'
% 1.21/1.62 ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_0' ) ],
% 1.21/1.62 [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ), =( 'c_times'( 'c_Numeral_Onumber__of'( X, 'tc_nat' )
% 1.21/1.62 , 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ),
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__mult'( X, Y ), 'tc_nat' ) ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ =( 'c_IntDef_Onat'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ) ),
% 1.21/1.62 'c_Numeral_Onumber__of'( X, 'tc_nat' ) ) ],
% 1.21/1.62 [ =( 'c_Numeral_Onumber__of'( 'c_Numeral_OPls', 'tc_nat' ), 'c_0' ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ =( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.21/1.62 'c_Numeral_Obit_OB1' ), 'tc_nat' ), 'c_1' ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =(
% 1.21/1.62 'c_NatArith_Oof__nat'( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0'
% 1.21/1.62 ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'c_IntDef_Oneg'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =(
% 1.21/1.62 'c_NatArith_Oof__nat'( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ),
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ) ) ],
% 1.21/1.62 [ =( 'c_div'( 'c_Suc'( 'c_0' ), 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.21/1.62 'tc_nat' ), 'c_IntDef_Onat'( 'c_div'( 'c_1', 'c_Numeral_Onumber__of'( X,
% 1.21/1.62 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ) ],
% 1.21/1.62 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 'c_Suc'( 'c_0' ),
% 1.21/1.62 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ), 'c_Suc'( 'c_0' ) ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ), =( 'c_Divides_Oop_Amod'( 'c_Suc'( 'c_0' ),
% 1.21/1.62 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ), 'c_IntDef_Onat'(
% 1.21/1.62 'c_Divides_Oop_Amod'( 'c_1', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.21/1.62 ), 'tc_IntDef_Oint' ) ) ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( 'c_1',
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.21/1.62 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.21/1.62 'tc_nat' ), X ), 'c_1' ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~( 'class_Power_Orecpower'( X ) ),
% 1.21/1.62 =( 'c_Nat_Opower'( 'c_Numeral_Onumber__of'( Y, X ),
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.21/1.62 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.21/1.62 'tc_nat' ), X ), 'c_times'( 'c_Numeral_Onumber__of'( Y, X ),
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), X ) ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( 'c_Nat_Opower'(
% 1.21/1.62 'c_uminus'( Y, X ), 'c_times'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.21/1.62 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.21/1.62 'c_Numeral_Obit_OB0' ), 'tc_nat' ), Z, 'tc_nat' ), X ), 'c_Nat_Opower'( Y
% 1.21/1.62 , 'c_times'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.21/1.62 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.21/1.62 'tc_nat' ), Z, 'tc_nat' ), X ) ) ],
% 1.21/1.62 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ) ), =( 'c_Nat_Opower'( 'c_Numeral_Onumber__of'( X,
% 1.21/1.62 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ),
% 1.21/1.62 'c_Nat_Opower'( 'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' )
% 1.21/1.62 ) ],
% 1.21/1.62 [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ), =( 'c_Nat_Opower'( 'c_Numeral_Onumber__of'( X,
% 1.21/1.62 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ),
% 1.21/1.62 'c_IntDef_Onat'( 'c_Nat_Opower'( 'c_Numeral_Onumber__of'( X,
% 1.21/1.62 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ),
% 1.21/1.62 'tc_IntDef_Oint' ) ) ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( 'c_0',
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.21/1.62 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.21/1.62 'tc_nat' ), X ), 'c_0' ) ],
% 1.21/1.62 [ =( 'c_div'( 'c_Suc'( 'c_Suc'( 'c_Suc'( X ) ) ),
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_div'( 'c_plus'(
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.21/1.62 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB1' ),
% 1.21/1.62 'tc_nat' ), X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ),
% 1.21/1.62 'tc_nat' ) ) ],
% 1.21/1.62 [ =( 'c_Divides_Oop_Amod'( 'c_Suc'( 'c_Suc'( 'c_Suc'( X ) ) ),
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_Divides_Oop_Amod'(
% 1.21/1.62 'c_plus'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.21/1.62 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB1' ),
% 1.21/1.62 'tc_nat' ), X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ),
% 1.21/1.62 'tc_nat' ) ) ],
% 1.21/1.62 [ =( 'c_plus'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.21/1.62 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.21/1.62 'c_Numeral_Obit_OB0' ), 'tc_nat' ), X, 'tc_nat' ), 'c_Suc'( 'c_Suc'( X )
% 1.21/1.62 ) ) ],
% 1.21/1.62 [ =( 'c_plus'( X, 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.21/1.62 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.21/1.62 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ), 'c_Suc'( 'c_Suc'( X ) ) )
% 1.21/1.62 ],
% 1.21/1.62 [ =( 'c_div'( 'c_plus'( X, X, 'tc_nat' ), 'c_Numeral_Onumber__of'(
% 1.21/1.62 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.21/1.62 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ), X
% 1.21/1.62 ) ],
% 1.21/1.62 [ =( 'c_div'( 'c_Suc'( 'c_Suc'( X ) ), 'c_Numeral_Onumber__of'(
% 1.21/1.62 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.21/1.62 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ),
% 1.21/1.62 'c_Suc'( 'c_div'( X, 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.21/1.62 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.21/1.62 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ) ) ) ],
% 1.21/1.62 [ =( 'c_div'( X, 'c_Suc'( 'c_Suc'( 'c_Suc'( Y ) ) ), 'tc_nat' ), 'c_div'(
% 1.21/1.62 X, 'c_plus'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.21/1.62 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB1' ),
% 1.21/1.62 'tc_nat' ), Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_times'( 'c_divide'( Y,
% 1.21/1.62 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_Numeral_Onumber__of'( Z, X ), X
% 1.21/1.62 ) ), =( 'c_Numeral_Onumber__of'( Z, X ), 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_Numeral_Onumber__of'( Y
% 1.21/1.62 , X ), 'c_0' ) ), =( 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ), X )
% 1.21/1.62 , 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Numeral_Onumber__of'( Y, X
% 1.21/1.62 ), 'c_0' ), =( 'c_divide'( 'c_times'( Z, 'c_Numeral_Onumber__of'( Y, X )
% 1.21/1.62 , X ), 'c_Numeral_Onumber__of'( Y, X ), X ), Z ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_times'( 'c_0',
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'( Y, X ), X
% 1.21/1.62 ), 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ),
% 1.21/1.62 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ),
% 1.21/1.62 'c_lessequals'( 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ),
% 1.21/1.62 'c_lessequals'( 'c_0', Z, X ), 'c_lessequals'( 'c_0',
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ),
% 1.21/1.62 'c_lessequals'( Z, 'c_0', X ), 'c_lessequals'( 'c_Numeral_Onumber__of'( Y
% 1.21/1.62 , X ), 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ),
% 1.21/1.62 'c_lessequals'( Z, 'c_0', X ), 'c_lessequals'( 'c_0', Z, X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.21/1.62 'c_0', X ) ), ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ),
% 1.21/1.62 X ) ), 'c_lessequals'( 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X
% 1.21/1.62 ), 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.21/1.62 , Y, X ) ), ~( 'c_lessequals'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X
% 1.21/1.62 ) ), 'c_lessequals'( 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X )
% 1.21/1.62 , 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'( 'c_divide'( Z
% 1.21/1.62 , 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_lessequals'( Z,
% 1.21/1.62 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'(
% 1.21/1.62 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_lessequals'( 'c_times'( T
% 1.21/1.62 , 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_divide'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), T, X ) ), 'c_less'(
% 1.21/1.62 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_less'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ), 'c_lessequals'( 'c_0', T, X
% 1.21/1.62 ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.21/1.62 , Y, X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ),
% 1.21/1.62 'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ), 'c_lessequals'(
% 1.21/1.62 'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X ), Y, X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_times'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'(
% 1.21/1.62 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_lessequals'( 'c_divide'(
% 1.21/1.62 T, 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.21/1.62 , Y, X ) ), ~( 'c_lessequals'( 'c_times'( Y, 'c_Numeral_Onumber__of'( Z,
% 1.21/1.62 X ), X ), T, X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X )
% 1.21/1.62 , 'c_lessequals'( 'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X ), Y
% 1.21/1.62 , X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'( Z, 'c_times'(
% 1.21/1.62 T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_lessequals'(
% 1.21/1.62 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.21/1.62 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~(
% 1.21/1.62 'c_lessequals'( 'c_0', Z, X ) ), 'c_less'( 'c_Numeral_Onumber__of'( T, X
% 1.21/1.62 ), 'c_0', X ), 'c_lessequals'( 'c_divide'( Y, 'c_Numeral_Onumber__of'( T
% 1.21/1.62 , X ), X ), Z, X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( Z,
% 1.21/1.62 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), ~(
% 1.21/1.62 'c_lessequals'( 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X
% 1.21/1.62 ) ), 'c_lessequals'( 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ), X )
% 1.21/1.62 , T, X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.21/1.62 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~(
% 1.21/1.62 'c_lessequals'( 'c_0', Z, X ) ), ~( 'c_lessequals'( 'c_times'( Z,
% 1.21/1.62 'c_Numeral_Onumber__of'( T, X ), X ), Y, X ) ), 'c_lessequals'(
% 1.21/1.62 'c_divide'( Y, 'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ), 'c_less'( 'c_0',
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'( 'c_Numeral_Onumber__of'(
% 1.21/1.62 Y, X ), 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ), 'c_less'( 'c_0', Z
% 1.21/1.62 , X ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ), 'c_less'( Z, 'c_0'
% 1.21/1.62 , X ), 'c_less'( 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ), 'c_less'( Z, 'c_0'
% 1.21/1.62 , X ), 'c_less'( 'c_0', Z, X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.21/1.62 ) ), ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ) ),
% 1.21/1.62 'c_less'( 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X ), 'c_0', X )
% 1.21/1.62 ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.21/1.62 ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ),
% 1.21/1.62 'c_less'( 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X ), 'c_0', X )
% 1.21/1.62 ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_less'( 'c_divide'( Z,
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'( Z, 'c_times'( T
% 1.21/1.62 , 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_less'( 'c_divide'( Z
% 1.21/1.62 , 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'( 'c_0',
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'( 'c_times'( T,
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'(
% 1.21/1.62 Y, 'c_Numeral_Onumber__of'( Z, X ), X ), T, X ) ), 'c_less'( 'c_0', T, X
% 1.21/1.62 ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_less'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.21/1.62 ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_less'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ), 'c_less'( 'c_divide'( T,
% 1.21/1.62 'c_Numeral_Onumber__of'( Z, X ), X ), Y, X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_less'( 'c_times'( Z
% 1.21/1.62 , 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'( 'c_0',
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'( 'c_divide'( T,
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.21/1.62 ) ), ~( 'c_less'( 'c_times'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), T
% 1.21/1.62 , X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_less'(
% 1.21/1.62 'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X ), Y, X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.21/1.62 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'(
% 1.21/1.62 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ) ), 'c_less'( 'c_divide'( Y,
% 1.21/1.62 'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.21/1.62 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'(
% 1.21/1.62 'c_0', Z, X ) ), 'c_less'( 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ),
% 1.21/1.62 'c_less'( 'c_divide'( Y, 'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.21/1.62 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'(
% 1.21/1.62 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ), ~( 'c_less'( 'c_times'( Z
% 1.21/1.62 , 'c_Numeral_Onumber__of'( T, X ), X ), Y, X ) ), 'c_less'( 'c_divide'( Y
% 1.21/1.62 , 'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.21/1.62 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'(
% 1.21/1.62 'c_0', Z, X ) ), ~( 'c_less'( 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X
% 1.21/1.62 ), X ), Y, X ) ), 'c_less'( 'c_divide'( Y, 'c_Numeral_Onumber__of'( T, X
% 1.21/1.62 ), X ), Z, X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y,
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), X ), 'c_uminus'( Y, X ) )
% 1.21/1.62 ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Numeral_Onumber__of'( Y, X
% 1.21/1.62 ), 'c_0' ), =( 'c_times'( 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X )
% 1.21/1.62 , X ), 'c_Numeral_Onumber__of'( Y, X ), X ), Z ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_Numeral_Onumber__of'( Y
% 1.21/1.62 , X ), 'c_0' ) ), =( 'c_0', 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X
% 1.21/1.62 ), X ) ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_divide'( 'c_times'( Y,
% 1.21/1.62 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_Numeral_Onumber__of'( Z, X ), X
% 1.21/1.62 ) ), =( 'c_Numeral_Onumber__of'( Z, X ), 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_0', 'c_divide'( 'c_times'(
% 1.21/1.62 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'( Y,
% 1.21/1.62 X ), X ) ) ],
% 1.21/1.62 [ ~( 'class_HOL_Oone'( X ) ), ~( 'class_OrderedGroup_Oab__group__add'( X
% 1.21/1.62 ) ), ~( =( 'c_uminus'( Y, X ), 'c_1' ) ), =( Y, 'c_uminus'( 'c_1', X ) )
% 1.21/1.62 ],
% 1.21/1.62 [ ~( 'class_HOL_Oone'( X ) ), ~( 'class_OrderedGroup_Oab__group__add'( X
% 1.21/1.62 ) ), =( 'c_uminus'( 'c_uminus'( 'c_1', X ), X ), 'c_1' ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_uminus'( Z, X ) ) ), =( Z, 'c_uminus'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), X ) ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_Numeral_Onumber__of'(
% 1.21/1.62 Y, X ), 'c_uminus'( 'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), X )
% 1.21/1.62 ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.21/1.62 ) ), 'c_less'( 'c_0', 'c_divide'( Y, 'c_Numeral_Onumber__of'(
% 1.21/1.62 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.21/1.62 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), X ), X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~( 'class_Ring__and__Field_Ofield'(
% 1.21/1.62 X ) ), =( 'c_HOL_Oinverse'( 'c_Numeral_Onumber__of'( Y, X ), X ),
% 1.21/1.62 'c_divide'( 'c_1', 'c_Numeral_Onumber__of'( Y, X ), X ) ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'( Z, 'c_divide'(
% 1.21/1.62 T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_lessequals'( 'c_times'(
% 1.21/1.62 Z, 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( Z,
% 1.21/1.62 'c_divide'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_less'(
% 1.21/1.62 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_lessequals'( T, 'c_times'(
% 1.21/1.62 Z, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.21/1.62 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), 'c_less'(
% 1.21/1.62 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ), 'c_less'(
% 1.21/1.62 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ), 'c_lessequals'( Y, 'c_0', X
% 1.21/1.62 ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.21/1.62 'c_0', X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ),
% 1.21/1.62 'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ), 'c_lessequals'( Y
% 1.21/1.62 , 'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( Z,
% 1.21/1.62 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_less'(
% 1.21/1.62 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_lessequals'( T,
% 1.21/1.62 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.21/1.62 'c_0', X ) ), ~( 'c_lessequals'( Z, 'c_times'( Y, 'c_Numeral_Onumber__of'(
% 1.21/1.62 T, X ), X ), X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X )
% 1.21/1.62 , 'c_lessequals'( Y, 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X )
% 1.21/1.62 , X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'( 'c_times'( Z,
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_lessequals'( Z,
% 1.21/1.62 'c_divide'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.21/1.62 'c_0', X ) ), ~( 'c_lessequals'( 'c_times'( Y, 'c_Numeral_Onumber__of'( Z
% 1.21/1.62 , X ), X ), T, X ) ), 'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X
% 1.21/1.62 ), 'c_lessequals'( Y, 'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X
% 1.21/1.62 ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( Z,
% 1.21/1.62 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), ~(
% 1.21/1.62 'c_lessequals'( 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X
% 1.21/1.62 ) ), 'c_lessequals'( T, 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ),
% 1.21/1.62 X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.21/1.62 'c_0', X ) ), ~( 'c_lessequals'( Z, 'c_times'( Y, 'c_Numeral_Onumber__of'(
% 1.21/1.62 T, X ), X ), X ) ), ~( 'c_lessequals'( 'c_times'( Y,
% 1.21/1.62 'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ), 'c_lessequals'( Y,
% 1.21/1.62 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ],
% 1.21/1.62 [ ~( 'class_HOL_Oone'( X ) ), ~(
% 1.21/1.62 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_1', 'c_uminus'( Y, X ), X ) ), 'c_lessequals'( Y, 'c_uminus'( 'c_1', X
% 1.21/1.62 ), X ) ],
% 1.21/1.62 [ ~( 'class_HOL_Oone'( X ) ), ~(
% 1.21/1.62 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 Y, 'c_uminus'( 'c_1', X ), X ) ), 'c_lessequals'( 'c_1', 'c_uminus'( Y, X
% 1.21/1.62 ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_uminus'( Z, X ), X ) ),
% 1.21/1.62 'c_lessequals'( Z, 'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), X )
% 1.21/1.62 ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 Y, 'c_uminus'( 'c_Numeral_Onumber__of'( Z, X ), X ), X ) ),
% 1.21/1.62 'c_lessequals'( 'c_Numeral_Onumber__of'( Z, X ), 'c_uminus'( Y, X ), X )
% 1.21/1.62 ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~( 'class_Ring__and__Field_Oring'(
% 1.21/1.62 X ) ), =( 'c_times'( 'c_minus'( Y, Z, X ), 'c_Numeral_Onumber__of'( T, X
% 1.21/1.62 ), X ), 'c_minus'( 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X ),
% 1.21/1.62 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Osemiring'( X ) ), =( 'c_times'( 'c_plus'( Y, Z,
% 1.21/1.62 X ), 'c_Numeral_Onumber__of'( T, X ), X ), 'c_plus'( 'c_times'( Y,
% 1.21/1.62 'c_Numeral_Onumber__of'( T, X ), X ), 'c_times'( Z,
% 1.21/1.62 'c_Numeral_Onumber__of'( T, X ), X ), X ) ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.21/1.62 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'(
% 1.21/1.62 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ) ), 'c_less'( 'c_times'( Y,
% 1.21/1.62 'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.21/1.62 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'(
% 1.21/1.62 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ), 'c_less'( Z, 'c_times'( Y
% 1.21/1.62 , 'c_Numeral_Onumber__of'( T, X ), X ), X ), 'c_less'( 'c_0',
% 1.21/1.62 'c_Numeral_Onumber__of'( T, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.21/1.62 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), 'c_less'( Y,
% 1.21/1.62 'c_0', X ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ),
% 1.21/1.62 'c_less'( 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.21/1.62 ) ), 'c_less'( Y, 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X
% 1.21/1.62 ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ), 'c_less'(
% 1.21/1.62 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.21/1.62 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'(
% 1.21/1.62 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ), 'c_less'( Z, 'c_divide'( Y
% 1.21/1.62 , 'c_Numeral_Onumber__of'( T, X ), X ), X ), 'c_less'( 'c_0',
% 1.21/1.62 'c_Numeral_Onumber__of'( T, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.21/1.62 ) ), ~( 'c_less'( Z, 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X )
% 1.21/1.62 , X ) ), 'c_less'( Y, 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X )
% 1.21/1.62 , X ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_less'( 'c_times'( Z,
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'( Z, 'c_divide'(
% 1.21/1.62 T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.21/1.62 ) ), ~( 'c_less'( 'c_times'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), T
% 1.21/1.62 , X ) ), 'c_less'( Y, 'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X )
% 1.21/1.62 , X ), 'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.21/1.62 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'(
% 1.21/1.62 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ), ~( 'c_less'( 'c_times'( Z
% 1.21/1.62 , 'c_Numeral_Onumber__of'( T, X ), X ), Y, X ) ), 'c_less'( Z, 'c_divide'(
% 1.21/1.62 Y, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.21/1.62 ) ), ~( 'c_less'( Z, 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X )
% 1.21/1.62 , X ) ), ~( 'c_less'( 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X )
% 1.21/1.62 , Z, X ) ), 'c_less'( Y, 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ),
% 1.21/1.62 X ), X ) ],
% 1.21/1.62 [ ~( 'class_HOL_Oone'( X ) ), ~(
% 1.21/1.62 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( 'c_1'
% 1.21/1.62 , 'c_uminus'( Y, X ), X ) ), 'c_less'( Y, 'c_uminus'( 'c_1', X ), X ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'class_HOL_Oone'( X ) ), ~(
% 1.21/1.62 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( Y,
% 1.21/1.62 'c_uminus'( 'c_1', X ), X ) ), 'c_less'( 'c_1', 'c_uminus'( Y, X ), X ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_uminus'( Z, X ), X ) ), 'c_less'( Z,
% 1.21/1.62 'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( Y,
% 1.21/1.62 'c_uminus'( 'c_Numeral_Onumber__of'( Z, X ), X ), X ) ), 'c_less'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Z, X ), 'c_uminus'( Y, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'(
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), Y, X ), 'c_uminus'(
% 1.21/1.62 'c_divide'( 'c_1', Y, X ), X ) ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 'c_uminus'( Y, X ),
% 1.21/1.62 'c_Numeral_Onumber__of'( Z, X ) ) ), =( 'c_uminus'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Z, X ), X ), Y ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_uminus'( 'c_uminus'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), X ), X ), 'c_Numeral_Onumber__of'( Y, X
% 1.21/1.62 ) ) ],
% 1.21/1.62 [ ~( 'class_HOL_Oone'( X ) ), ~(
% 1.21/1.62 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_uminus'( Y, X ), 'c_1', X ) ), 'c_lessequals'( 'c_uminus'( 'c_1', X )
% 1.21/1.62 , Y, X ) ],
% 1.21/1.62 [ ~( 'class_HOL_Oone'( X ) ), ~(
% 1.21/1.62 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_uminus'( 'c_1', X ), Y, X ) ), 'c_lessequals'( 'c_uminus'( Y, X ),
% 1.21/1.62 'c_1', X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_uminus'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ) ),
% 1.21/1.62 'c_lessequals'( 'c_uminus'( 'c_Numeral_Onumber__of'( Z, X ), X ), Y, X )
% 1.21/1.62 ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ),
% 1.21/1.62 'c_lessequals'( 'c_uminus'( Z, X ), 'c_Numeral_Onumber__of'( Y, X ), X )
% 1.21/1.62 ],
% 1.21/1.62 [ ~( 'class_HOL_Oone'( X ) ), ~(
% 1.21/1.62 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_uminus'( Y, X ), 'c_1', X ) ), 'c_less'( 'c_uminus'( 'c_1', X ), Y, X
% 1.21/1.62 ) ],
% 1.21/1.62 [ ~( 'class_HOL_Oone'( X ) ), ~(
% 1.21/1.62 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_uminus'( 'c_1', X ), Y, X ) ), 'c_less'( 'c_uminus'( Y, X ), 'c_1', X
% 1.21/1.62 ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_uminus'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ) ), 'c_less'(
% 1.21/1.62 'c_uminus'( 'c_Numeral_Onumber__of'( Z, X ), X ), Y, X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ), 'c_less'(
% 1.21/1.62 'c_uminus'( Z, X ), 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.21/1.62 [ =( 'c_Divides_Oop_Amod'( 'c_Suc'( 'c_Suc'( X ) ),
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.21/1.62 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.21/1.62 'tc_nat' ), 'tc_nat' ), 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'(
% 1.21/1.62 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.21/1.62 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ) )
% 1.21/1.62 ],
% 1.21/1.62 [ ~( 'c_less'( 'c_0', 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'(
% 1.21/1.62 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.21/1.62 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ),
% 1.21/1.62 'tc_nat' ) ), =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'(
% 1.21/1.62 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.21/1.62 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ),
% 1.21/1.62 'c_1' ) ],
% 1.21/1.62 [ ~( =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'(
% 1.21/1.62 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.21/1.62 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ),
% 1.21/1.62 'c_1' ) ), 'c_less'( 'c_0', 'c_Divides_Oop_Amod'( X,
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.21/1.62 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.21/1.62 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ],
% 1.21/1.62 [ =( 'c_Divides_Oop_Amod'( X, 'c_Suc'( 'c_Suc'( 'c_Suc'( Y ) ) ),
% 1.21/1.62 'tc_nat' ), 'c_Divides_Oop_Amod'( X, 'c_plus'( 'c_Numeral_Onumber__of'(
% 1.21/1.62 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.21/1.62 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB1' ), 'tc_nat' ), Y, 'tc_nat' )
% 1.21/1.62 , 'tc_nat' ) ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ), 'c_lessequals'( Z, T, X )
% 1.21/1.62 ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ), 'c_lessequals'( T, Z, X )
% 1.21/1.62 ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 'c_less'( 'c_0',
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'( 'c_Numeral_Onumber__of'(
% 1.21/1.62 Y, X ), 'c_0', X ), 'c_lessequals'( 'c_times'( 'c_Numeral_Onumber__of'( Y
% 1.21/1.62 , X ), Z, X ), 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 Y, Z, X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ),
% 1.21/1.62 'c_lessequals'( 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Z, X ),
% 1.21/1.62 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Y, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 Y, Z, X ) ), 'c_less'( 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ),
% 1.21/1.62 'c_lessequals'( 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Y, X ),
% 1.21/1.62 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Z, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ), 'c_lessequals'( 'c_times'(
% 1.21/1.62 'c_Numeral_Onumber__of'( T, X ), Z, X ), 'c_times'(
% 1.21/1.62 'c_Numeral_Onumber__of'( T, X ), Y, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_times'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_times'( T,
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_lessequals'( Z, T, X ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_times'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_times'( T,
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_lessequals'( T, Z, X ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 'c_less'( 'c_0',
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'( 'c_Numeral_Onumber__of'(
% 1.21/1.62 Y, X ), 'c_0', X ), 'c_lessequals'( 'c_times'( Z, 'c_Numeral_Onumber__of'(
% 1.21/1.62 Y, X ), X ), 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 Y, Z, X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ),
% 1.21/1.62 'c_lessequals'( 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ),
% 1.21/1.62 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 Y, Z, X ) ), 'c_less'( 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ),
% 1.21/1.62 'c_lessequals'( 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X ),
% 1.21/1.62 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ), 'c_lessequals'( 'c_times'( Z
% 1.21/1.62 , 'c_Numeral_Onumber__of'( T, X ), X ), 'c_times'( Y,
% 1.21/1.62 'c_Numeral_Onumber__of'( T, X ), X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ), ~( 'c_lessequals'( 'c_0'
% 1.21/1.62 , 'c_Numeral_Onumber__of'( Y, X ), X ) ), 'c_less'( Z, T, X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), 'c_less'( T, Z, X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 'c_less'(
% 1.21/1.62 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ), 'c_lessequals'( 'c_0',
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_lessequals'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.21/1.62 , X ) ), 'c_less'( 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Z, X ),
% 1.21/1.62 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Y, X ), X ), 'c_lessequals'(
% 1.21/1.62 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.21/1.62 , X ) ), 'c_less'( 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Y, X ),
% 1.21/1.62 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Z, X ), X ), 'c_lessequals'(
% 1.21/1.62 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.21/1.62 , X ) ), ~( 'c_less'( Z, Y, X ) ), 'c_less'( 'c_times'(
% 1.21/1.62 'c_Numeral_Onumber__of'( T, X ), Z, X ), 'c_times'(
% 1.21/1.62 'c_Numeral_Onumber__of'( T, X ), Y, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_times'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_times'( T,
% 1.21/1.62 'c_Numeral_Onumber__of'( Z, X ), X ), X ) ), ~( 'c_lessequals'( 'c_0',
% 1.21/1.62 'c_Numeral_Onumber__of'( Z, X ), X ) ), 'c_less'( Y, T, X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_times'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_times'( T,
% 1.21/1.62 'c_Numeral_Onumber__of'( Z, X ), X ), X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ), 'c_less'( T, Y, X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 'c_less'(
% 1.21/1.62 'c_times'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_times'( T,
% 1.21/1.62 'c_Numeral_Onumber__of'( Z, X ), X ), X ), 'c_lessequals'( 'c_0',
% 1.21/1.62 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_lessequals'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.21/1.62 , X ) ), 'c_less'( 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ),
% 1.21/1.62 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X ), X ), 'c_lessequals'(
% 1.21/1.62 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.21/1.62 , X ) ), 'c_less'( 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X ),
% 1.21/1.62 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ), 'c_lessequals'(
% 1.21/1.62 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.21/1.62 , X ) ), ~( 'c_less'( Z, Y, X ) ), 'c_less'( 'c_times'( Z,
% 1.21/1.62 'c_Numeral_Onumber__of'( T, X ), X ), 'c_times'( Y,
% 1.21/1.62 'c_Numeral_Onumber__of'( T, X ), X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~( 'class_Ring__and__Field_Oring'(
% 1.21/1.62 X ) ), =( 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), 'c_minus'( Z, T, X
% 1.21/1.62 ), X ), 'c_minus'( 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ),
% 1.21/1.62 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Osemiring'( X ) ), =( 'c_times'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_plus'( Z, T, X ), X ), 'c_plus'(
% 1.21/1.62 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.21/1.62 , 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ),
% 1.21/1.62 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ),
% 1.21/1.62 'c_lessequals'( 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.21/1.62 , 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ),
% 1.21/1.62 'c_lessequals'( Z, 'c_0', X ), 'c_lessequals'( 'c_0',
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.21/1.62 , 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ),
% 1.21/1.62 'c_lessequals'( 'c_0', Z, X ), 'c_lessequals'( 'c_Numeral_Onumber__of'( Y
% 1.21/1.62 , X ), 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.21/1.62 , 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ),
% 1.21/1.62 'c_lessequals'( Z, 'c_0', X ), 'c_lessequals'( 'c_0', Z, X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.21/1.62 , Y, X ) ), ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X
% 1.21/1.62 ) ), 'c_lessequals'( 'c_0', 'c_divide'( 'c_Numeral_Onumber__of'( Z, X )
% 1.21/1.62 , Y, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.21/1.62 'c_0', X ) ), ~( 'c_lessequals'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0',
% 1.21/1.62 X ) ), 'c_lessequals'( 'c_0', 'c_divide'( 'c_Numeral_Onumber__of'( Z, X )
% 1.21/1.62 , Y, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.21/1.62 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 'c_less'(
% 1.21/1.62 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.21/1.62 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 'c_less'( Z,
% 1.21/1.62 'c_0', X ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.21/1.62 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 'c_less'(
% 1.21/1.62 'c_0', Z, X ), 'c_less'( 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.21/1.62 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 'c_less'( Z,
% 1.21/1.62 'c_0', X ), 'c_less'( 'c_0', Z, X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.21/1.62 ) ), ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ) ),
% 1.21/1.62 'c_less'( 'c_0', 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X ), X )
% 1.21/1.62 ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.21/1.62 ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ),
% 1.21/1.62 'c_less'( 'c_0', 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X ), X )
% 1.21/1.62 ],
% 1.21/1.62 [ =( 'c_1', 'c_Suc'( 'c_0' ) ) ],
% 1.21/1.62 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 1.21/1.62 [ =( 'c_minus'( 'c_minus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'( Z ),
% 1.21/1.62 'tc_nat' ), 'c_minus'( 'c_minus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ) ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ),
% 1.21/1.62 'c_lessequals'( X, Y, 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 'c_Suc'( X ),
% 1.21/1.62 'c_Suc'( Y ), 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_less'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ), 'c_less'( X, Y
% 1.21/1.62 , 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 'c_Suc'( X ), 'c_Suc'( Y )
% 1.21/1.62 , 'tc_nat' ) ],
% 1.21/1.62 [ ~( =( 'c_Suc'( X ), 'c_0' ) ) ],
% 1.21/1.62 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_Suc'( 'c_minus'( X, 'c_Suc'(
% 1.21/1.62 'c_0' ), 'tc_nat' ) ), X ) ],
% 1.21/1.62 [ ~( =( 'c_0', 'c_Suc'( X ) ) ) ],
% 1.21/1.62 [ =( 'c_plus'( X, 'c_0', 'tc_nat' ), X ) ],
% 1.21/1.62 [ =( 'c_plus'( X, 'c_Suc'( Y ), 'tc_nat' ), 'c_Suc'( 'c_plus'( X, Y,
% 1.21/1.62 'tc_nat' ) ) ) ],
% 1.21/1.62 [ ~( 'c_less'( 'c_0', 'c_plus'( X, Y, 'tc_nat' ), 'tc_nat' ) ), 'c_less'(
% 1.21/1.62 'c_0', Y, 'tc_nat' ), 'c_less'( 'c_0', X, 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_plus'( X, Y,
% 1.21/1.62 'tc_nat' ), 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_plus'( Y, X,
% 1.21/1.62 'tc_nat' ), 'tc_nat' ) ],
% 1.21/1.62 [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_0' ) ), =( X, 'c_0' ) ],
% 1.21/1.62 [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.21/1.62 [ =( 'c_plus'( 'c_0', 'c_0', 'tc_nat' ), 'c_0' ) ],
% 1.21/1.62 [ =( 'c_minus'( 'c_0', X, 'tc_nat' ), 'c_0' ) ],
% 1.21/1.62 [ =( 'c_minus'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), 'c_minus'( X, Y
% 1.21/1.62 , 'tc_nat' ) ) ],
% 1.21/1.62 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_minus'( X, 'c_Suc'(
% 1.21/1.62 Y ), 'tc_nat' ), X, 'tc_nat' ) ],
% 1.21/1.62 [ =( 'c_minus'( 'c_minus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ), 'c_minus'( X
% 1.21/1.62 , 'c_plus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.21/1.62 [ ~( =( 'c_minus'( X, Y, 'tc_nat' ), 'c_0' ) ), 'c_lessequals'( X, Y,
% 1.21/1.62 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_minus'( X, Y, 'tc_nat' )
% 1.21/1.62 , 'c_0' ) ],
% 1.21/1.62 [ 'c_lessequals'( 'c_minus'( X, Y, 'tc_nat' ), X, 'tc_nat' ) ],
% 1.21/1.62 [ =( 'c_minus'( X, X, 'tc_nat' ), 'c_0' ) ],
% 1.21/1.62 [ ~( 'c_lessequals'( X, 'c_0', 'tc_nat' ) ), =( X, 'c_0' ) ],
% 1.21/1.62 [ 'c_lessequals'( 'c_0', 'c_0', 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_plus'( 'c_minus'( Y, X,
% 1.21/1.62 'tc_nat' ), X, 'tc_nat' ), Y ) ],
% 1.21/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_plus'( X, 'c_minus'( Y, X
% 1.21/1.62 , 'tc_nat' ), 'tc_nat' ), Y ) ],
% 1.21/1.62 [ ~( 'c_less'( X, 'c_Suc'( 'c_0' ), 'tc_nat' ) ), =( X, 'c_0' ) ],
% 1.21/1.62 [ 'c_less'( 'c_0', 'c_Suc'( 'c_0' ), 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_less'( X, 'c_1', 'tc_nat' ) ), =( X, 'c_0' ) ],
% 1.21/1.62 [ 'c_less'( 'c_0', 'c_1', 'tc_nat' ) ],
% 1.21/1.62 [ =( 'c_Orderings_Omax'( 'c_0', X, 'tc_nat' ), X ) ],
% 1.21/1.62 [ =( 'c_Orderings_Omax'( X, 'c_0', 'tc_nat' ), X ) ],
% 1.21/1.62 [ =( 'c_Orderings_Omax'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), 'c_Suc'(
% 1.21/1.62 'c_Orderings_Omax'( X, Y, 'tc_nat' ) ) ) ],
% 1.21/1.62 [ =( 'c_Orderings_Omin'( 'c_0', X, 'tc_nat' ), 'c_0' ) ],
% 1.21/1.62 [ =( 'c_Orderings_Omin'( X, 'c_0', 'tc_nat' ), 'c_0' ) ],
% 1.21/1.62 [ =( 'c_Orderings_Omin'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), 'c_Suc'(
% 1.21/1.62 'c_Orderings_Omin'( X, Y, 'tc_nat' ) ) ) ],
% 1.21/1.62 [ =( 'c_times'( X, 'c_0', 'tc_nat' ), 'c_0' ) ],
% 1.21/1.62 [ =( 'c_times'( X, 'c_Suc'( Y ), 'tc_nat' ), 'c_plus'( X, 'c_times'( X,
% 1.21/1.62 Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.21/1.62 [ ~( =( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( X, Z, 'tc_nat' ) ) ),
% 1.21/1.62 =( Y, Z ), =( X, 'c_0' ) ],
% 1.21/1.62 [ =( 'c_times'( 'c_0', X, 'tc_nat' ), 'c_times'( 'c_0', Y, 'tc_nat' ) )
% 1.21/1.62 ],
% 1.21/1.62 [ ~( =( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( Z, Y, 'tc_nat' ) ) ),
% 1.21/1.62 =( X, Z ), =( Y, 'c_0' ) ],
% 1.21/1.62 [ =( 'c_times'( X, 'c_0', 'tc_nat' ), 'c_times'( Y, 'c_0', 'tc_nat' ) )
% 1.21/1.62 ],
% 1.21/1.62 [ ~( =( 'c_times'( X, Y, 'tc_nat' ), 'c_Suc'( 'c_0' ) ) ), =( X, 'c_1' )
% 1.21/1.62 ],
% 1.21/1.62 [ ~( =( 'c_times'( X, Y, 'tc_nat' ), 'c_Suc'( 'c_0' ) ) ), =( Y, 'c_1' )
% 1.21/1.62 ],
% 1.21/1.62 [ =( 'c_times'( 'c_1', 'c_1', 'tc_nat' ), 'c_Suc'( 'c_0' ) ) ],
% 1.21/1.62 [ ~( =( 'c_times'( X, Y, 'tc_nat' ), 'c_0' ) ), =( Y, 'c_0' ), =( X,
% 1.21/1.62 'c_0' ) ],
% 1.21/1.62 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_times'( X,
% 1.21/1.62 Y, 'tc_nat' ), 'c_times'( X, Z, 'tc_nat' ), 'tc_nat' ) ), 'c_lessequals'(
% 1.21/1.62 Y, Z, 'tc_nat' ) ],
% 1.21/1.62 [ 'c_less'( 'c_0', X, 'tc_nat' ), 'c_lessequals'( 'c_times'( X, Y,
% 1.21/1.62 'tc_nat' ), 'c_times'( X, Z, 'tc_nat' ), 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 'c_times'( Z, X
% 1.21/1.62 , 'tc_nat' ), 'c_times'( Z, Y, 'tc_nat' ), 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_times'( Y,
% 1.21/1.62 X, 'tc_nat' ), 'c_times'( Z, X, 'tc_nat' ), 'tc_nat' ) ), 'c_lessequals'(
% 1.21/1.62 Y, Z, 'tc_nat' ) ],
% 1.21/1.62 [ 'c_less'( 'c_0', X, 'tc_nat' ), 'c_lessequals'( 'c_times'( Y, X,
% 1.21/1.62 'tc_nat' ), 'c_times'( Z, X, 'tc_nat' ), 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 'c_times'( X, Z
% 1.21/1.62 , 'tc_nat' ), 'c_times'( Y, Z, 'tc_nat' ), 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_less'( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( X, Z, 'tc_nat' )
% 1.21/1.62 , 'tc_nat' ) ), 'c_less'( 'c_0', X, 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_less'( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( X, Z, 'tc_nat' )
% 1.21/1.62 , 'tc_nat' ) ), 'c_less'( Y, Z, 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), ~( 'c_less'( 'c_0', Z, 'tc_nat' ) ),
% 1.21/1.62 'c_less'( 'c_times'( Z, X, 'tc_nat' ), 'c_times'( Z, Y, 'tc_nat' ),
% 1.21/1.62 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_less'( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( Z, Y, 'tc_nat' )
% 1.21/1.62 , 'tc_nat' ) ), 'c_less'( 'c_0', Y, 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_less'( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( Z, Y, 'tc_nat' )
% 1.21/1.62 , 'tc_nat' ) ), 'c_less'( X, Z, 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), ~( 'c_less'( 'c_0', Z, 'tc_nat' ) ),
% 1.21/1.62 'c_less'( 'c_times'( X, Z, 'tc_nat' ), 'c_times'( Y, Z, 'tc_nat' ),
% 1.21/1.62 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_less'( 'c_0', 'c_times'( X, Y, 'tc_nat' ), 'tc_nat' ) ),
% 1.21/1.62 'c_less'( 'c_0', X, 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_less'( 'c_0', 'c_times'( X, Y, 'tc_nat' ), 'tc_nat' ) ),
% 1.21/1.62 'c_less'( 'c_0', Y, 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), ~( 'c_less'( 'c_0', Y, 'tc_nat' )
% 1.21/1.62 ), 'c_less'( 'c_0', 'c_times'( Y, X, 'tc_nat' ), 'tc_nat' ) ],
% 1.21/1.62 [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_plus'( X, Z, 'tc_nat' ) ) ), =( Y
% 1.21/1.62 , Z ) ],
% 1.21/1.62 [ ~( 'c_lessequals'( 'c_plus'( X, Y, 'tc_nat' ), 'c_plus'( X, Z,
% 1.21/1.62 'tc_nat' ), 'tc_nat' ) ), 'c_lessequals'( Y, Z, 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 'c_plus'( Z, X
% 1.21/1.62 , 'tc_nat' ), 'c_plus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), 'c_plus'( X, Z, 'tc_nat' ),
% 1.21/1.62 'tc_nat' ) ), 'c_less'( Y, Z, 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 'c_plus'( Z, X, 'tc_nat' )
% 1.21/1.62 , 'c_plus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ],
% 1.21/1.62 [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_plus'( Z, Y, 'tc_nat' ) ) ), =( X
% 1.21/1.62 , Z ) ],
% 1.21/1.62 [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.21/1.62 [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.21/1.62 [ 'c_less'( 'c_0', X, 'tc_nat' ), =( X, 'c_0' ) ],
% 1.21/1.62 [ ~( 'c_less'( 'c_0', 'c_0', 'tc_nat' ) ) ],
% 1.21/1.62 [ ~( 'c_less'( X, 'c_0', 'tc_nat' ) ) ],
% 1.21/1.62 [ ~( =( 'c_Suc'( 'c_0' ), 'c_times'( X, Y, 'tc_nat' ) ) ), =( X, 'c_1' )
% 1.21/1.62 ],
% 1.21/1.62 [ ~( =( 'c_Suc'( 'c_0' ), 'c_times'( X, Y, 'tc_nat' ) ) ), =( Y, 'c_1' )
% 1.21/1.62 ],
% 1.21/1.62 [ =( 'c_Suc'( 'c_0' ), 'c_times'( 'c_1', 'c_1', 'tc_nat' ) ) ],
% 1.21/1.62 [ ~( 'c_lessequals'( 'c_Suc'( 'c_0' ), 'c_times'( X, Y, 'tc_nat' ),
% 1.21/1.62 'tc_nat' ) ), 'c_lessequals'( 'c_1', X, 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_lessequals'( 'c_Suc'( 'c_0' ), 'c_times'( X, Y, 'tc_nat' ),
% 1.21/1.62 'tc_nat' ) ), 'c_lessequals'( 'c_1', Y, 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_lessequals'( 'c_1', X, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_1', Y
% 1.21/1.62 , 'tc_nat' ) ), 'c_lessequals'( 'c_Suc'( 'c_0' ), 'c_times'( Y, X,
% 1.21/1.62 'tc_nat' ), 'tc_nat' ) ],
% 1.21/1.62 [ =( 'c_times'( 'c_0', X, 'tc_nat' ), 'c_0' ) ],
% 1.21/1.62 [ =( 'c_times'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_plus'( Y, 'c_times'( X,
% 1.21/1.62 Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.21/1.62 [ =( 'c_plus'( 'c_0', X, 'tc_nat' ), X ) ],
% 1.21/1.62 [ =( 'c_plus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'( 'c_plus'( X, Y,
% 1.21/1.62 'tc_nat' ) ) ) ],
% 1.21/1.62 [ =( 'c_minus'( X, 'c_0', 'tc_nat' ), X ) ],
% 1.21/1.62 [ ~( 'c_less'( 'c_0', 'c_minus'( X, Y, 'tc_nat' ), 'tc_nat' ) ),
% 1.21/1.62 'c_less'( Y, X, 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_minus'( Y, X,
% 1.21/1.62 'tc_nat' ), 'tc_nat' ) ],
% 1.21/1.62 [ =( 'c_Numeral_OBit'( 'c_Numeral_OMin', 'c_Numeral_Obit_OB1' ),
% 1.21/1.62 'c_Numeral_OMin' ) ],
% 1.21/1.62 [ =( 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB0' ),
% 1.21/1.62 'c_Numeral_OPls' ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_minus'( Z, 'c_Numeral_Onumber__of'( T
% 1.21/1.62 , X ), X ), X ), 'c_plus'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'(
% 1.21/1.62 Y, 'c_Numeral_Obin__minus'( T ) ), X ), Z, X ) ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_plus'( 'c_Numeral_Onumber__of'( Z, X
% 1.21/1.62 ), T, X ), X ), 'c_plus'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'(
% 1.21/1.62 Y, Z ), X ), T, X ) ) ],
% 1.21/1.62 [ =( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' )
% 1.21/1.62 , 'c_Numeral_OBit'( Y, Z ) ), 'c_Numeral_OBit'( 'c_Numeral_Obin__add'( X
% 1.21/1.62 , Y ), Z ) ) ],
% 1.21/1.62 [ =( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB1' )
% 1.21/1.62 , 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB0' ) ), 'c_Numeral_OBit'(
% 1.21/1.62 'c_Numeral_Obin__add'( X, Y ), 'c_Numeral_Obit_OB1' ) ) ],
% 1.21/1.62 [ =( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB1' )
% 1.21/1.62 , 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB1' ) ), 'c_Numeral_OBit'(
% 1.21/1.62 'c_Numeral_Obin__add'( X, 'c_Numeral_Obin__succ'( Y ) ),
% 1.21/1.62 'c_Numeral_Obit_OB0' ) ) ],
% 1.21/1.62 [ =( 'c_Numeral_Obin__add'( 'c_Numeral_OMin', X ),
% 1.21/1.62 'c_Numeral_Obin__pred'( X ) ) ],
% 1.21/1.62 [ =( 'c_Numeral_Obin__add'( X, 'c_Numeral_OMin' ),
% 1.21/1.62 'c_Numeral_Obin__pred'( X ) ) ],
% 1.21/1.62 [ =( 'c_Numeral_Obin__add'( 'c_Numeral_OPls', X ), X ) ],
% 1.21/1.62 [ =( 'c_Numeral_Obin__add'( X, 'c_Numeral_OPls' ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ),
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, Z ), X ) ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_uminus'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'(
% 1.21/1.62 'c_Numeral_Obin__minus'( Y ), X ) ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_uminus'( 'c_1', X ),
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ) ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_times'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ),
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__mult'( Y, Z ), X ) ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_minus'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ),
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.21/1.62 'c_Numeral_Obin__minus'( Z ) ), X ) ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), =( 'c_HOL_Oabs'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_uminus'( 'c_Numeral_Onumber__of'(
% 1.21/1.62 Y, X ), X ) ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_less'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ), =( 'c_HOL_Oabs'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'( Y, X ) ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ =( 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0'
% 1.21/1.62 ) ), 'c_Numeral_OBit'( 'c_Numeral_Obin__minus'( X ),
% 1.21/1.62 'c_Numeral_Obit_OB0' ) ) ],
% 1.21/1.62 [ =( 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB1'
% 1.21/1.62 ) ), 'c_Numeral_OBit'( 'c_Numeral_Obin__pred'( 'c_Numeral_Obin__minus'(
% 1.21/1.62 X ) ), 'c_Numeral_Obit_OB1' ) ) ],
% 1.21/1.62 [ =( 'c_Numeral_Obin__minus'( 'c_Numeral_OMin' ), 'c_Numeral_OBit'(
% 1.21/1.62 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ) ) ],
% 1.21/1.62 [ =( 'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ), 'c_Numeral_OPls' ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ =( 'c_Numeral_Obin__mult'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' )
% 1.21/1.62 , Y ), 'c_Numeral_OBit'( 'c_Numeral_Obin__mult'( X, Y ),
% 1.21/1.62 'c_Numeral_Obit_OB0' ) ) ],
% 1.21/1.62 [ =( 'c_Numeral_Obin__mult'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB1' )
% 1.21/1.62 , Y ), 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( 'c_Numeral_Obin__mult'( X
% 1.21/1.62 , Y ), 'c_Numeral_Obit_OB0' ), Y ) ) ],
% 1.21/1.62 [ =( 'c_Numeral_Obin__mult'( 'c_Numeral_OMin', X ),
% 1.21/1.62 'c_Numeral_Obin__minus'( X ) ) ],
% 1.21/1.62 [ =( 'c_Numeral_Obin__mult'( 'c_Numeral_OPls', X ), 'c_Numeral_OPls' ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ =( 'c_Numeral_Obin__pred'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' )
% 1.21/1.62 ), 'c_Numeral_OBit'( 'c_Numeral_Obin__pred'( X ), 'c_Numeral_Obit_OB1' )
% 1.21/1.62 ) ],
% 1.21/1.62 [ =( 'c_Numeral_Obin__pred'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB1' )
% 1.21/1.62 ), 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' ) ) ],
% 1.21/1.62 [ =( 'c_Numeral_Obin__pred'( 'c_Numeral_OMin' ), 'c_Numeral_OBit'(
% 1.21/1.62 'c_Numeral_OMin', 'c_Numeral_Obit_OB0' ) ) ],
% 1.21/1.62 [ =( 'c_Numeral_Obin__pred'( 'c_Numeral_OPls' ), 'c_Numeral_OMin' ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), ~(
% 1.21/1.62 'c_IntDef_Oiszero'( 'c_1', X ) ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'(
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, Z ), X ), X ) ),
% 1.21/1.62 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), X ) ), 'c_IntDef_Oneg'(
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, Z ), X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.21/1.62 'c_Numeral_Obin__minus'( Z ) ), X ), X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Z, X ), 'c_Numeral_Onumber__of'( Y, X ), X ) ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'(
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.21/1.62 'c_Numeral_Obin__minus'( Z ) ), X ), X ), 'c_lessequals'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Z, X ), 'c_Numeral_Onumber__of'( Y, X ), X ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( =( 'c_Numeral_Onumber__of'(
% 1.21/1.62 Y, X ), 'c_Numeral_Onumber__of'( Z, X ) ) ), 'c_IntDef_Oiszero'(
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.21/1.62 'c_Numeral_Obin__minus'( Z ) ), X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'c_IntDef_Oiszero'(
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.21/1.62 'c_Numeral_Obin__minus'( Z ) ), X ), X ) ), =( 'c_Numeral_Onumber__of'( Y
% 1.21/1.62 , X ), 'c_Numeral_Onumber__of'( Z, X ) ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'c_IntDef_Oiszero'(
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OPls', X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'c_IntDef_Oiszero'(
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), X ) ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oiszero'(
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB0' ), X )
% 1.21/1.62 , X ) ), 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oiszero'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), X ) ), 'c_IntDef_Oiszero'(
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB0' ), X )
% 1.21/1.62 , X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oiszero'(
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB1' ), X )
% 1.21/1.62 , X ) ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ) ),
% 1.21/1.62 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.21/1.62 'c_Numeral_Obin__minus'( Z ) ), X ), X ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.21/1.62 'c_Numeral_Obin__minus'( Z ) ), X ), X ) ), 'c_less'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OPls', X ), X ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.21/1.62 'c_0', X ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.21/1.62 'c_1', X ) ) ],
% 1.21/1.62 [ =( 'c_Numeral_Obin__succ'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' )
% 1.21/1.62 ), 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB1' ) ) ],
% 1.21/1.62 [ =( 'c_Numeral_Obin__succ'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB1' )
% 1.21/1.62 ), 'c_Numeral_OBit'( 'c_Numeral_Obin__succ'( X ), 'c_Numeral_Obit_OB0' )
% 1.21/1.62 ) ],
% 1.21/1.62 [ =( 'c_Numeral_Obin__succ'( 'c_Numeral_OMin' ), 'c_Numeral_OPls' ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ =( 'c_Numeral_Obin__succ'( 'c_Numeral_OPls' ), 'c_Numeral_OBit'(
% 1.21/1.62 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ) ) ],
% 1.21/1.62 [ =( 'c_Numeral_Obit_Obit__case'( X, Y, 'c_Numeral_Obit_OB0', Z ), X ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ =( 'c_Numeral_Obit_Obit__case'( X, Y, 'c_Numeral_Obit_OB1', Z ), Y ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( =( 'c_Numeral_Obit_OB0', 'c_Numeral_Obit_OB1' ) ) ],
% 1.21/1.62 [ ~( =( 'c_Numeral_Obit_OB1', 'c_Numeral_Obit_OB0' ) ) ],
% 1.21/1.62 [ =( 'c_Numeral_Obit_Obit__rec'( X, Y, 'c_Numeral_Obit_OB0', Z ), X ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ =( 'c_Numeral_Obit_Obit__rec'( X, Y, 'c_Numeral_Obit_OB1', Z ), Y ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ =( 'c_Nat_Osize'( 'c_Numeral_Obit_OB0', 'tc_Numeral_Obit' ), 'c_0' ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ =( 'c_Nat_Osize'( 'c_Numeral_Obit_OB1', 'tc_Numeral_Obit' ), 'c_0' ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_times'( 'c_uminus'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ), 'c_times'(
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__minus'( Y ), X ), Z, X ) ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_times'(
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), Y, X ), 'c_uminus'( Y, X
% 1.21/1.62 ) ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_times'( Y,
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), X ), 'c_uminus'( Y, X ) )
% 1.21/1.62 ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_times'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_times'( 'c_Numeral_Onumber__of'( Z, X
% 1.21/1.62 ), T, X ), X ), 'c_times'( 'c_Numeral_Onumber__of'(
% 1.21/1.62 'c_Numeral_Obin__mult'( Y, Z ), X ), T, X ) ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_Numeral_Onumber__of'(
% 1.21/1.62 'c_Numeral_OPls', X ), 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_Numeral_Onumber__of'(
% 1.21/1.62 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), X ), 'c_1' )
% 1.21/1.62 ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_plus'(
% 1.21/1.62 'c_uminus'( Y, X ), Y, X ), 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~( =( 'c_0'
% 1.21/1.62 , 'c_HOL_Oabs'( Y, X ) ) ), =( Y, 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), =( 'c_0',
% 1.21/1.62 'c_HOL_Oabs'( 'c_0', X ) ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), =(
% 1.21/1.62 'c_HOL_Oabs'( 'c_plus'( 'c_HOL_Oabs'( Y, X ), 'c_HOL_Oabs'( Z, X ), X ),
% 1.21/1.62 X ), 'c_plus'( 'c_HOL_Oabs'( Y, X ), 'c_HOL_Oabs'( Z, X ), X ) ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~( =(
% 1.21/1.62 'c_HOL_Oabs'( Y, X ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), =(
% 1.21/1.62 'c_HOL_Oabs'( 'c_0', X ), 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.21/1.62 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), =(
% 1.21/1.62 'c_HOL_Oabs'( 'c_HOL_Oabs'( Y, X ), X ), 'c_HOL_Oabs'( Y, X ) ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~(
% 1.21/1.62 'c_lessequals'( 'c_HOL_Oabs'( Y, X ), 'c_0', X ) ), =( Y, 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.21/1.62 'c_lessequals'( 'c_HOL_Oabs'( 'c_0', X ), 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), =(
% 1.21/1.62 'c_HOL_Oabs'( 'c_uminus'( Y, X ), X ), 'c_HOL_Oabs'( Y, X ) ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_HOL_Oabs'( Y, X ), 'c_0', X ) ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~(
% 1.21/1.62 'c_lessequals'( 'c_0', Y, X ) ), =( 'c_HOL_Oabs'( Y, X ), Y ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~(
% 1.21/1.62 'c_lessequals'( Y, 'c_0', X ) ), =( 'c_HOL_Oabs'( Y, X ), 'c_uminus'( Y,
% 1.21/1.62 X ) ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 'c_plus'( Y,
% 1.21/1.62 'c_0', X ), Y ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.21/1.62 , ~( 'c_lessequals'( 'c_plus'( Y, Z, X ), 'c_plus'( Y, T, X ), X ) ),
% 1.21/1.62 'c_lessequals'( Z, T, X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.21/1.62 , ~( 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_plus'( T, Y, X ),
% 1.21/1.62 'c_plus'( T, Z, X ), X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.21/1.62 , ~( 'c_lessequals'( 'c_plus'( Y, Z, X ), 'c_plus'( T, Z, X ), X ) ),
% 1.21/1.62 'c_lessequals'( Y, T, X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.21/1.62 , ~( 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_plus'( Y, T, X ),
% 1.21/1.62 'c_plus'( Z, T, X ), X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( 'c_plus'(
% 1.21/1.62 Y, Z, X ), 'c_plus'( Y, T, X ) ) ), =( Z, T ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.21/1.62 , ~( 'c_less'( 'c_plus'( Y, Z, X ), 'c_plus'( Y, T, X ), X ) ), 'c_less'(
% 1.21/1.62 Z, T, X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.21/1.62 , ~( 'c_less'( Y, Z, X ) ), 'c_less'( 'c_plus'( T, Y, X ), 'c_plus'( T, Z
% 1.21/1.62 , X ), X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.21/1.62 , ~( 'c_less'( 'c_plus'( Y, Z, X ), 'c_plus'( T, Z, X ), X ) ), 'c_less'(
% 1.21/1.62 Y, T, X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.21/1.62 , ~( 'c_less'( Y, Z, X ) ), 'c_less'( 'c_plus'( Y, T, X ), 'c_plus'( Z, T
% 1.21/1.62 , X ), X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( 'c_plus'(
% 1.21/1.62 Y, Z, X ), 'c_plus'( T, Z, X ) ) ), =( Y, T ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 'c_plus'( 'c_0'
% 1.21/1.62 , Y, X ), Y ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_minus'( 'c_0', Y
% 1.21/1.62 , X ), 'c_uminus'( Y, X ) ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_minus'( Y, 'c_0'
% 1.21/1.62 , X ), Y ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 'c_minus'( Y, Z
% 1.21/1.62 , X ), 'c_0' ) ), =( Y, Z ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 1.21/1.62 'c_lessequals'( 'c_minus'( Y, Z, X ), 'c_0', X ) ), 'c_lessequals'( Y, Z
% 1.21/1.62 , X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 1.21/1.62 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_minus'( Y, Z, X ), 'c_0'
% 1.21/1.62 , X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_minus'( Y, Z, X ), 'c_0', X ) ), 'c_less'( Y, Z, X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.21/1.62 Y, Z, X ) ), 'c_less'( 'c_minus'( Y, Z, X ), 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_minus'( Y,
% 1.21/1.62 'c_uminus'( Z, X ), X ), 'c_plus'( Y, Z, X ) ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_minus'( Y, Y, X
% 1.21/1.62 ), 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_plus'( Y, Y, X ), 'c_0', X ) ), 'c_lessequals'( Y, 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 Y, 'c_0', X ) ), 'c_lessequals'( 'c_plus'( Y, Y, X ), 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 1.21/1.62 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( 'c_plus'( Y, Y, X ),
% 1.21/1.62 'c_0', X ) ), 'c_less'( Y, 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 1.21/1.62 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( Y, 'c_0', X ) ),
% 1.21/1.62 'c_less'( 'c_plus'( Y, Y, X ), 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( =(
% 1.21/1.62 'c_LOrder_Ojoin'( Y, 'c_uminus'( Y, X ), X ), 'c_0' ) ), =( Y, 'c_0' ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =(
% 1.21/1.62 'c_LOrder_Ojoin'( 'c_0', 'c_uminus'( 'c_0', X ), X ), 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( =(
% 1.21/1.62 'c_LOrder_Omeet'( Y, 'c_uminus'( Y, X ), X ), 'c_0' ) ), =( Y, 'c_0' ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =(
% 1.21/1.62 'c_LOrder_Omeet'( 'c_0', 'c_uminus'( 'c_0', X ), X ), 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_uminus'(
% 1.21/1.62 'c_plus'( Y, Z, X ), X ), 'c_plus'( 'c_uminus'( Y, X ), 'c_uminus'( Z, X
% 1.21/1.62 ), X ) ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_uminus'(
% 1.21/1.62 'c_minus'( Y, Z, X ), X ), 'c_minus'( Z, Y, X ) ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_uminus'(
% 1.21/1.62 'c_uminus'( Y, X ), X ), Y ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 'c_times'( 'c_1', Y,
% 1.21/1.62 X ), Y ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 'c_times'( Y, 'c_1',
% 1.21/1.62 X ), Y ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 'c_0',
% 1.21/1.62 'c_uminus'( Y, X ) ) ), =( 'c_0', Y ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_0', 'c_uminus'(
% 1.21/1.62 'c_0', X ) ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 1.21/1.62 'c_lessequals'( 'c_0', 'c_uminus'( Y, X ), X ) ), 'c_lessequals'( Y,
% 1.21/1.62 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 1.21/1.62 'c_lessequals'( Y, 'c_0', X ) ), 'c_lessequals'( 'c_0', 'c_uminus'( Y, X
% 1.21/1.62 ), X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_0', 'c_uminus'( Y, X ), X ) ), 'c_less'( Y, 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.21/1.62 Y, 'c_0', X ) ), 'c_less'( 'c_0', 'c_uminus'( Y, X ), X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 'c_uminus'( Y, X
% 1.21/1.62 ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_uminus'( 'c_0',
% 1.21/1.62 X ), 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 'c_uminus'( Y, X
% 1.21/1.62 ), 'c_uminus'( Z, X ) ) ), =( Y, Z ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =( 'c_uminus'(
% 1.21/1.62 'c_LOrder_Ojoin'( Y, Z, X ), X ), 'c_LOrder_Omeet'( 'c_uminus'( Y, X ),
% 1.21/1.62 'c_uminus'( Z, X ), X ) ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 1.21/1.62 'c_lessequals'( 'c_uminus'( Y, X ), 'c_0', X ) ), 'c_lessequals'( 'c_0',
% 1.21/1.62 Y, X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 1.21/1.62 'c_lessequals'( 'c_0', Y, X ) ), 'c_lessequals'( 'c_uminus'( Y, X ),
% 1.21/1.62 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 1.21/1.62 'c_lessequals'( 'c_uminus'( Y, X ), 'c_uminus'( Z, X ), X ) ),
% 1.21/1.62 'c_lessequals'( Z, Y, X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 1.21/1.62 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_uminus'( Z, X ),
% 1.21/1.62 'c_uminus'( Y, X ), X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_uminus'( Y, X ), 'c_0', X ) ), 'c_less'( 'c_0', Y, X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_0', Y, X ) ), 'c_less'( 'c_uminus'( Y, X ), 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_uminus'( Y, X ), 'c_uminus'( Z, X ), X ) ), 'c_less'( Z, Y, X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.21/1.62 Y, Z, X ) ), 'c_less'( 'c_uminus'( Z, X ), 'c_uminus'( Y, X ), X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =( 'c_uminus'(
% 1.21/1.62 'c_LOrder_Omeet'( Y, Z, X ), X ), 'c_LOrder_Ojoin'( 'c_uminus'( Y, X ),
% 1.21/1.62 'c_uminus'( Z, X ), X ) ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =(
% 1.21/1.62 'c_OrderedGroup_Onprt'( 'c_0', X ), 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_0', Y, X ) ), =( 'c_OrderedGroup_Onprt'( Y, X ), 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 Y, 'c_0', X ) ), =( 'c_OrderedGroup_Onprt'( Y, X ), Y ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 'c_lessequals'(
% 1.21/1.62 'c_OrderedGroup_Onprt'( Y, X ), 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 Y, Z, X ) ), 'c_lessequals'( 'c_OrderedGroup_Onprt'( Y, X ),
% 1.21/1.62 'c_OrderedGroup_Onprt'( Z, X ), X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =(
% 1.21/1.62 'c_OrderedGroup_Opprt'( 'c_0', X ), 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 Y, 'c_0', X ) ), =( 'c_OrderedGroup_Opprt'( Y, X ), 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_0', Y, X ) ), =( 'c_OrderedGroup_Opprt'( Y, X ), Y ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 Y, Z, X ) ), 'c_lessequals'( 'c_OrderedGroup_Opprt'( Y, X ),
% 1.21/1.62 'c_OrderedGroup_Opprt'( Z, X ), X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_plus'( Y,
% 1.21/1.62 'c_uminus'( Y, X ), X ), 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_0', 'c_plus'( Y, Y, X ), X ) ), 'c_lessequals'( 'c_0', Y, X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_0', Y, X ) ), 'c_lessequals'( 'c_0', 'c_plus'( Y, Y, X ), X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 'c_lessequals'(
% 1.21/1.62 'c_0', 'c_OrderedGroup_Opprt'( Y, X ), X ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_0', 'c_HOL_Oabs'( 'c_0', X ), X ) ) ],
% 1.21/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 'c_less'(
% 1.21/1.62 'c_0', 'c_HOL_Oabs'( Y, X ), X ), =( Y, 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( 'c_Orderings_Omax'(
% 1.21/1.62 Y, Z, X ), T, X ) ), 'c_less'( Y, T, X ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( 'c_Orderings_Omax'(
% 1.21/1.62 Y, Z, X ), T, X ) ), 'c_less'( Z, T, X ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( Y, Z, X ) ), ~(
% 1.21/1.62 'c_less'( T, Z, X ) ), 'c_less'( 'c_Orderings_Omax'( T, Y, X ), Z, X ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( Y,
% 1.21/1.62 'c_Orderings_Omin'( Z, T, X ), X ) ), 'c_less'( Y, Z, X ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( Y,
% 1.21/1.62 'c_Orderings_Omin'( Z, T, X ), X ) ), 'c_less'( Y, T, X ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( Y, Z, X ) ), ~(
% 1.21/1.62 'c_less'( Y, T, X ) ), 'c_less'( Y, 'c_Orderings_Omin'( T, Z, X ), X ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y,
% 1.21/1.62 'c_Orderings_Omin'( Z, T, X ), X ) ), 'c_lessequals'( Y, Z, X ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y,
% 1.21/1.62 'c_Orderings_Omin'( Z, T, X ), X ) ), 'c_lessequals'( Y, T, X ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.21/1.62 , ~( 'c_lessequals'( Y, T, X ) ), 'c_lessequals'( Y, 'c_Orderings_Omin'(
% 1.21/1.62 T, Z, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_Orderings_Omin'( Y, Y, X
% 1.21/1.62 ), Y ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_Orderings_Omin'( Y,
% 1.21/1.62 'c_Orderings_Omin'( Y, Z, X ), X ), 'c_Orderings_Omin'( Y, Z, X ) ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_Orderings_Omax'( Y, Z, X ), T, X ) ), 'c_lessequals'( Y, T, X ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_Orderings_Omax'( Y, Z, X ), T, X ) ), 'c_lessequals'( Z, T, X ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.21/1.62 , ~( 'c_lessequals'( T, Z, X ) ), 'c_lessequals'( 'c_Orderings_Omax'( T,
% 1.21/1.62 Y, X ), Z, X ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_Orderings_Omax'( Y, Y, X
% 1.21/1.62 ), Y ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_Orderings_Omax'( Y,
% 1.21/1.62 'c_Orderings_Omax'( Y, Z, X ), X ), 'c_Orderings_Omax'( Y, Z, X ) ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_less'( Y, Y, X ) ) ],
% 1.21/1.62 [ ~( 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat'
% 1.21/1.62 ) ), 'c_Parity_Oeven'( 'c_IntDef_Oint'( 'c_Numeral_Onumber__of'( X,
% 1.21/1.62 'tc_nat' ) ), 'tc_IntDef_Oint' ) ],
% 1.21/1.62 [ ~( 'c_Parity_Oeven'( 'c_IntDef_Oint'( 'c_Numeral_Onumber__of'( X,
% 1.21/1.62 'tc_nat' ) ), 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'(
% 1.21/1.62 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X
% 1.21/1.62 , 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.21/1.62 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.21/1.62 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_0' ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X,
% 1.21/1.62 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.21/1.62 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.21/1.62 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_0' ) )
% 1.21/1.62 , 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ) ],
% 1.21/1.62 [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 'c_Parity_Oeven'(
% 1.21/1.62 'c_minus'( Y, X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ),
% 1.21/1.62 'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ) ],
% 1.21/1.62 [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 'c_Parity_Oeven'(
% 1.21/1.62 'c_minus'( X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ),
% 1.21/1.62 'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ) ],
% 1.21/1.62 [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 'c_Parity_Oeven'( Y,
% 1.21/1.62 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( 'c_minus'( Y, X, 'tc_IntDef_Oint'
% 1.21/1.62 ), 'tc_IntDef_Oint' ) ],
% 1.21/1.62 [ 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ), 'c_Parity_Oeven'( Y,
% 1.21/1.62 'tc_IntDef_Oint' ), 'c_Parity_Oeven'( 'c_minus'( Y, X, 'tc_IntDef_Oint' )
% 1.21/1.62 , 'tc_IntDef_Oint' ) ],
% 1.21/1.62 [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), ~( 'c_Parity_Oeven'( 'c_Suc'( X
% 1.21/1.62 ), 'tc_nat' ) ) ],
% 1.21/1.62 [ 'c_Parity_Oeven'( X, 'tc_nat' ), 'c_Parity_Oeven'( 'c_Suc'( X ),
% 1.21/1.62 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 'tc_nat' ), 'tc_nat' ) ),
% 1.21/1.62 'c_Parity_Oeven'( X, 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 'tc_nat' ), 'tc_nat' ) ),
% 1.21/1.62 'c_less'( 'c_0', Y, 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), ~( 'c_less'( 'c_0', Y, 'tc_nat'
% 1.21/1.62 ) ), 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 'tc_nat' ), 'tc_nat' ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'c_Parity_Oeven'( 'c_times'( X, Y, 'tc_nat' ), 'tc_nat' ) ),
% 1.21/1.62 'c_Parity_Oeven'( Y, 'tc_nat' ), 'c_Parity_Oeven'( X, 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), 'c_Parity_Oeven'( 'c_times'( X,
% 1.21/1.62 Y, 'tc_nat' ), 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), 'c_Parity_Oeven'( 'c_times'( Y,
% 1.21/1.62 X, 'tc_nat' ), 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), ~( 'c_Parity_Oeven'( 'c_plus'( Y
% 1.21/1.62 , X, 'tc_nat' ), 'tc_nat' ) ), 'c_Parity_Oeven'( Y, 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), ~( 'c_Parity_Oeven'( 'c_plus'( X
% 1.21/1.62 , Y, 'tc_nat' ), 'tc_nat' ) ), 'c_Parity_Oeven'( Y, 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), ~( 'c_Parity_Oeven'( Y, 'tc_nat'
% 1.21/1.62 ) ), 'c_Parity_Oeven'( 'c_plus'( Y, X, 'tc_nat' ), 'tc_nat' ) ],
% 1.21/1.62 [ 'c_Parity_Oeven'( X, 'tc_nat' ), 'c_Parity_Oeven'( Y, 'tc_nat' ),
% 1.21/1.62 'c_Parity_Oeven'( 'c_plus'( Y, X, 'tc_nat' ), 'tc_nat' ) ],
% 1.21/1.62 [ 'c_Parity_Oeven'( 'c_0', 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_Parity_Oeven'( 'c_uminus'( X, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ],
% 1.21/1.62 [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'(
% 1.21/1.62 'c_uminus'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.21/1.62 [ ~( 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ],
% 1.21/1.62 [ ~( 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ) ), 'c_less'( 'c_0', Y, 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_0', Y,
% 1.21/1.62 'tc_nat' ) ), 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 'tc_IntDef_Oint' )
% 1.21/1.62 , 'tc_IntDef_Oint' ) ],
% 1.21/1.62 [ ~( 'c_Parity_Oeven'( 'c_times'( X, Y, 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ),
% 1.21/1.62 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ],
% 1.21/1.62 [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'(
% 1.21/1.62 'c_times'( X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.21/1.62 [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'(
% 1.21/1.62 'c_times'( Y, X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.21/1.62 [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 'c_Parity_Oeven'(
% 1.21/1.62 'c_plus'( Y, X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ),
% 1.21/1.62 'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ) ],
% 1.21/1.62 [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 'c_Parity_Oeven'(
% 1.21/1.62 'c_plus'( X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ),
% 1.21/1.62 'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ) ],
% 1.21/1.62 [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 'c_Parity_Oeven'( Y,
% 1.21/1.62 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( 'c_plus'( Y, X, 'tc_IntDef_Oint'
% 1.21/1.62 ), 'tc_IntDef_Oint' ) ],
% 1.21/1.62 [ 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ), 'c_Parity_Oeven'( Y,
% 1.21/1.62 'tc_IntDef_Oint' ), 'c_Parity_Oeven'( 'c_plus'( Y, X, 'tc_IntDef_Oint' )
% 1.21/1.62 , 'tc_IntDef_Oint' ) ],
% 1.21/1.62 [ 'c_Parity_Oeven'( 'c_0', 'tc_IntDef_Oint' ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_Parity_Oeven'( Y,
% 1.21/1.62 'tc_nat' ) ), =( 'c_Nat_Opower'( 'c_uminus'( 'c_1', X ), Y, X ), 'c_1' )
% 1.21/1.62 ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'c_Parity_Oeven'( Y,
% 1.21/1.62 'tc_nat' ), =( 'c_Nat_Opower'( 'c_uminus'( 'c_1', X ), Y, X ), 'c_uminus'(
% 1.21/1.62 'c_1', X ) ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'class_Power_Orecpower'( X
% 1.21/1.62 ) ), ~( 'c_Parity_Oeven'( Y, 'tc_nat' ) ), =( 'c_Nat_Opower'(
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), Y, X ), 'c_1' ) ],
% 1.21/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'class_Power_Orecpower'( X
% 1.21/1.62 ) ), 'c_Parity_Oeven'( Y, 'tc_nat' ), =( 'c_Nat_Opower'(
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), Y, X ),
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ) ) ],
% 1.21/1.62 [ =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.21/1.62 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.21/1.62 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_0' ),
% 1.21/1.62 =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.21/1.62 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.21/1.62 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_1' ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'(
% 1.21/1.62 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.21/1.62 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ),
% 1.21/1.62 'tc_IntDef_Oint' ), 'c_0' ) ), ~( =( 'c_Divides_Oop_Amod'( X,
% 1.21/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.21/1.62 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.21/1.62 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_1' ) ) ],
% 1.21/1.62 [ ~( 'c_Parity_Oeven'( 'c_1', 'tc_IntDef_Oint' ) ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~( =( 'c_Numeral_Onumber__of'( Y,
% 1.21/1.62 'tc_nat' ), 'c_0' ) ), =( 'c_Nat_Opower'( 'c_0', 'c_Numeral_Onumber__of'(
% 1.21/1.62 Y, 'tc_nat' ), X ), 'c_1' ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( 'c_0',
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0' ), =(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_Nat_Opower'( Y,
% 1.21/1.62 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0' ) ), =( Y, 'c_0' ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_Nat_Opower'( Y,
% 1.21/1.62 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0' ) ), 'c_less'( 'c_0',
% 1.21/1.62 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0',
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), =( 'c_Nat_Opower'(
% 1.21/1.62 'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), =( 'c_Nat_Opower'(
% 1.21/1.62 'c_HOL_Oabs'( Z, X ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ),
% 1.21/1.62 'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ) ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0', X
% 1.21/1.62 ) ), ~( =( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'c_0' ) ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0', X
% 1.21/1.62 ) ), =( Z, 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0', X
% 1.21/1.62 ) ), 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat'
% 1.21/1.62 ), 'c_lessequals'( Y, 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0', X
% 1.21/1.62 ) ), 'c_lessequals'( Y, 'c_0', X ), =( Y, 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( Y,
% 1.21/1.62 'c_0', X ) ), 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ),
% 1.21/1.62 'tc_nat' ), 'c_lessequals'( 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z
% 1.21/1.62 , 'tc_nat' ), X ), 'c_0', X ), =( 'c_Numeral_Onumber__of'( Z, 'tc_nat' )
% 1.21/1.62 , 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), 'c_lessequals'(
% 1.21/1.62 'c_Nat_Opower'( 'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0'
% 1.21/1.62 , X ), =( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), ~( 'c_less'(
% 1.21/1.62 'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0', X
% 1.21/1.62 ) ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0', X
% 1.21/1.62 ) ), 'c_less'( Y, 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.21/1.62 ) ), 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat'
% 1.21/1.62 ), 'c_less'( 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ),
% 1.21/1.62 X ), 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_Parity_Oeven'( Y,
% 1.21/1.62 'tc_nat' ) ), =( 'c_Nat_Opower'( 'c_uminus'( Z, X ), Y, X ),
% 1.21/1.62 'c_Nat_Opower'( Z, Y, X ) ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'c_Parity_Oeven'( Y,
% 1.21/1.62 'tc_nat' ), =( 'c_Nat_Opower'( 'c_uminus'( Z, X ), Y, X ), 'c_uminus'(
% 1.21/1.62 'c_Nat_Opower'( Z, Y, X ), X ) ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.21/1.62 , 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), X ) ),
% 1.21/1.62 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ),
% 1.21/1.62 'c_lessequals'( 'c_0', Y, X ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), 'c_lessequals'(
% 1.21/1.62 'c_0', 'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), X
% 1.21/1.62 ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.21/1.62 , Y, X ) ), 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ),
% 1.21/1.62 'tc_nat' ), 'c_lessequals'( 'c_0', 'c_Nat_Opower'( Y,
% 1.21/1.62 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), X ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0',
% 1.21/1.62 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), X ) ),
% 1.21/1.62 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ),
% 1.21/1.62 'c_less'( 'c_0', Y, X ), =( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'c_0'
% 1.21/1.62 ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), ~( 'c_less'( 'c_0'
% 1.21/1.62 , 'c_Nat_Opower'( 'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), X )
% 1.21/1.62 ), =( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0',
% 1.21/1.62 'c_Nat_Opower'( 'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), X ) )
% 1.21/1.62 , 'c_less'( 'c_0', 'c_0', X ), =( 'c_Numeral_Onumber__of'( Y, 'tc_nat' )
% 1.21/1.62 , 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_0' ) ), 'c_less'( 'c_0',
% 1.21/1.62 'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), X ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), 'c_less'( 'c_0',
% 1.21/1.62 'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), X ), =( Z
% 1.21/1.62 , 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.21/1.62 ) ), 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat'
% 1.21/1.62 ), 'c_less'( 'c_0', 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z,
% 1.21/1.62 'tc_nat' ), X ), X ) ],
% 1.21/1.62 [ ~( 'c_less'( 'c_0', 'c_Nat_Opower'( X, 'c_Numeral_Onumber__of'( Y,
% 1.21/1.62 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ), 'c_less'( 'c_0', X, 'tc_nat' ), =(
% 1.21/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_0' ) ],
% 1.21/1.62 [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ), 'c_less'(
% 1.21/1.62 'c_0', 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.21/1.62 'tc_nat' ), 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_Nat_Opower'(
% 1.21/1.62 X, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_lessequals'( 'c_1', X, 'tc_nat' ) ), 'c_lessequals'( 'c_Suc'(
% 1.21/1.62 'c_0' ), 'c_Nat_Opower'( X, Y, 'tc_nat' ), 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_less'( 'c_0', 'c_Nat_Opower'( 'c_0', X, 'tc_nat' ), 'tc_nat' ) )
% 1.21/1.62 , =( X, 'c_0' ) ],
% 1.21/1.62 [ 'c_less'( 'c_0', 'c_Nat_Opower'( X, Y, 'tc_nat' ), 'tc_nat' ), =( X,
% 1.21/1.62 'c_0' ) ],
% 1.21/1.62 [ 'c_less'( 'c_0', 'c_Nat_Opower'( X, 'c_0', 'tc_nat' ), 'tc_nat' ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ =( 'c_Nat_Opower'( X, 'c_0', 'tc_nat' ), 'c_1' ) ],
% 1.21/1.62 [ =( 'c_Nat_Opower'( X, 'c_Suc'( Y ), 'tc_nat' ), 'c_times'( X,
% 1.21/1.62 'c_Nat_Opower'( X, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( 'c_0', 'c_Suc'(
% 1.21/1.62 Y ), X ), 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_Nat_Opower'( Y,
% 1.21/1.62 Z, X ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_Nat_Opower'( Y,
% 1.21/1.62 Z, X ), 'c_0' ) ), 'c_less'( 'c_0', Z, 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0', Y,
% 1.21/1.62 'tc_nat' ) ), =( 'c_Nat_Opower'( 'c_0', Y, X ), 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( 'c_1', Y
% 1.21/1.62 , X ) ), ~( 'c_lessequals'( 'c_Nat_Opower'( Y, Z, X ), 'c_Nat_Opower'( Y
% 1.21/1.62 , T, X ), X ) ), 'c_lessequals'( Z, T, 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( 'c_1', Y
% 1.21/1.62 , X ) ), ~( 'c_lessequals'( Z, T, 'tc_nat' ) ), 'c_lessequals'(
% 1.21/1.62 'c_Nat_Opower'( Y, Z, X ), 'c_Nat_Opower'( Y, T, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( 'c_1', Y
% 1.21/1.62 , X ) ), ~( =( 'c_Nat_Opower'( Y, Z, X ), 'c_Nat_Opower'( Y, T, X ) ) ),
% 1.21/1.62 =( Z, T ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( 'c_1', Y, X ),
% 1.21/1.62 'c_1' ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( Y, 'c_1', X ), Y
% 1.21/1.62 ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( 'c_1', Y
% 1.21/1.62 , X ) ), ~( 'c_less'( 'c_Nat_Opower'( Y, Z, X ), 'c_Nat_Opower'( Y, T, X
% 1.21/1.62 ), X ) ), 'c_less'( Z, T, 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( Y, Z,
% 1.21/1.62 'tc_nat' ) ), ~( 'c_less'( 'c_1', T, X ) ), 'c_less'( 'c_Nat_Opower'( T,
% 1.21/1.62 Y, X ), 'c_Nat_Opower'( T, Z, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( Y, 'c_0', X ),
% 1.21/1.62 'c_1' ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 'c_0',
% 1.21/1.62 'c_Nat_Opower'( 'c_HOL_Oabs'( Y, X ), Z, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0',
% 1.21/1.62 'c_Nat_Opower'( 'c_HOL_Oabs'( 'c_0', X ), Y, X ), X ) ), =( Y, 'c_0' ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_less'( 'c_0',
% 1.21/1.62 'c_Nat_Opower'( 'c_HOL_Oabs'( Y, X ), Z, X ), X ), =( Y, 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_less'( 'c_0',
% 1.21/1.62 'c_Nat_Opower'( 'c_HOL_Oabs'( Y, X ), 'c_0', X ), X ) ],
% 1.21/1.62 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( X, U ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( Y, W ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ =( 'c_fst'( 'c_Pair'( X, Y, Z, T ), Z, T ), X ) ],
% 1.21/1.62 [ =( 'c_Pair'( 'c_fst'( X, Y, Z ), 'c_snd'( X, Y, Z ), Y, Z ), X ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ =( 'c_snd'( 'c_Pair'( X, Y, Z, T ), Z, T ), Y ) ],
% 1.21/1.62 [ =( X, 'c_Pair'( 'c_Main_Osurj__pair__1'( X, Y, Z ),
% 1.21/1.62 'c_Main_Osurj__pair__2'( X, Y, Z ), Y, Z ) ) ],
% 1.21/1.62 [ =( 'c_Relation_ODomain'( 'c_Relation_OId', X, X ), 'c_UNIV' ) ],
% 1.21/1.62 [ =( 'c_Relation_ODomain'( 'c_Relation_Odiag'( X, Y ), Y, Y ), X ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ =( 'c_Relation_ODomain'( 'c_emptyset', X, Y ), 'c_emptyset' ) ],
% 1.21/1.62 [ =( 'c_Relation_Orel__comp'( 'c_Relation_OId', X, Y, Y, Z ), X ) ],
% 1.21/1.62 [ =( 'c_Relation_OImage'( 'c_Relation_OId', X, Y, Y ), X ) ],
% 1.21/1.62 [ =( 'c_Relation_OImage'( 'c_Relation_Odiag'( X, Y ), Z, Y, Y ),
% 1.21/1.62 'c_inter'( X, Z, Y ) ) ],
% 1.21/1.62 [ =( 'c_Relation_OImage'( X, 'c_emptyset', Y, Z ), 'c_emptyset' ) ],
% 1.21/1.62 [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, 'c_insert'( Z, 'c_emptyset', T )
% 1.21/1.62 , T, U ), U ) ), 'c_in'( 'c_Pair'( Z, X, T, U ), Y, 'tc_prod'( T, U ) ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'( Y
% 1.21/1.62 , 'c_Relation_OImage'( U, 'c_insert'( X, 'c_emptyset', Z ), Z, T ), T ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ =( 'c_Relation_Orel__comp'( X, 'c_Relation_OId', Y, Z, Y ), X ) ],
% 1.21/1.62 [ =( 'c_Relation_ORange'( 'c_Relation_OId', X, X ), 'c_UNIV' ) ],
% 1.21/1.62 [ =( 'c_Relation_ORange'( 'c_Relation_Odiag'( X, Y ), Y, Y ), X ) ],
% 1.21/1.62 [ =( 'c_Relation_ORange'( 'c_emptyset', X, Y ), 'c_emptyset' ) ],
% 1.21/1.62 [ =( 'c_Relation_Oconverse'( 'c_Relation_OId', X, X ), 'c_Relation_OId'
% 1.21/1.62 ) ],
% 1.21/1.62 [ =( 'c_Relation_Oconverse'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 1.21/1.62 X ) ],
% 1.21/1.62 [ =( 'c_Relation_Oconverse'( 'c_Relation_Odiag'( X, Y ), Y, Y ),
% 1.21/1.62 'c_Relation_Odiag'( X, Y ) ) ],
% 1.21/1.62 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Oconverse'( U, T, Z ),
% 1.21/1.62 'tc_prod'( Z, T ) ) ), 'c_in'( 'c_Pair'( Y, X, T, Z ), U, 'tc_prod'( T, Z
% 1.21/1.62 ) ) ],
% 1.21/1.62 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'(
% 1.21/1.62 'c_Pair'( Y, X, T, Z ), 'c_Relation_Oconverse'( U, Z, T ), 'tc_prod'( T,
% 1.21/1.62 Z ) ) ],
% 1.21/1.62 [ =( 'c_Relation_Odiag'( 'c_emptyset', X ), 'c_emptyset' ) ],
% 1.21/1.62 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId', 'tc_prod'( Z, Z )
% 1.21/1.62 ) ), =( X, Y ) ],
% 1.21/1.62 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId', 'tc_prod'( Y, Y ) )
% 1.21/1.62 ],
% 1.21/1.62 [ =( 'c_Nat_Opower'( X, 'c_1', 'tc_set'( 'tc_prod'( Y, Y ) ) ), X ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ =( 'c_Nat_Opower'( X, 'c_0', 'tc_set'( 'tc_prod'( Y, Y ) ) ),
% 1.21/1.62 'c_Relation_OId' ) ],
% 1.21/1.62 [ =( 'c_Nat_Opower'( X, 'c_Suc'( Y ), 'tc_set'( 'tc_prod'( Z, Z ) ) ),
% 1.21/1.62 'c_Relation_Orel__comp'( X, 'c_Nat_Opower'( X, Y, 'tc_set'( 'tc_prod'( Z
% 1.21/1.62 , Z ) ) ), Z, Z, Z ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), =( 'c_HOL_Oabs'(
% 1.21/1.62 'c_divide'( Y, Z, X ), X ), 'c_divide'( 'c_HOL_Oabs'( Y, X ),
% 1.21/1.62 'c_HOL_Oabs'( Z, X ), X ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), =( 'c_HOL_Oabs'(
% 1.21/1.62 'c_HOL_Oinverse'( Y, X ), X ), 'c_HOL_Oinverse'( 'c_HOL_Oabs'( Y, X ), X
% 1.21/1.62 ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 'c_HOL_Oabs'(
% 1.21/1.62 'c_1', X ), 'c_1' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ), ~( =( 'c_0',
% 1.21/1.62 'c_1' ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y, 'c_1', X
% 1.21/1.62 ), Y ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_divide'( Y, Z, X ),
% 1.21/1.62 'c_divide'( Y, T, X ) ) ), =( Z, T ), =( Y, 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_0', Y, X ),
% 1.21/1.62 'c_divide'( 'c_0', Z, X ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_divide'( Y, Z, X ),
% 1.21/1.62 'c_divide'( T, Z, X ) ) ), =( Y, T ), =( Z, 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y, 'c_0', X ),
% 1.21/1.62 'c_divide'( Z, 'c_0', X ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_divide'( Y, Z,
% 1.21/1.62 X ), T, X ), 'c_divide'( Y, 'c_times'( Z, T, X ), X ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y, 'c_divide'( Z,
% 1.21/1.62 T, X ), X ), 'c_divide'( 'c_times'( Y, T, X ), Z, X ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_divide'( Y, Z, X ),
% 1.21/1.62 'c_0' ) ), =( Z, 'c_0' ), =( Y, 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_0', Y, X ),
% 1.21/1.62 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y, 'c_0', X ),
% 1.21/1.62 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_divide'( Y, Z, X ),
% 1.21/1.62 'c_1' ) ), =( Y, Z ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_divide'( Y,
% 1.21/1.62 'c_0', X ), 'c_1' ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_divide'( Y, Z,
% 1.21/1.62 X ), 'c_1' ) ), =( Z, Y ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), =( Y, 'c_0' ), =(
% 1.21/1.62 'c_divide'( Y, Y, X ), 'c_1' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_divide'( 'c_1', Y, X ), 'c_0', X ) ), 'c_lessequals'( Y, 'c_0', X ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.21/1.62 'c_0', X ) ), 'c_lessequals'( 'c_divide'( 'c_1', Y, X ), 'c_0', X ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.21/1.62 ) ), ~( 'c_lessequals'( 'c_divide'( Z, Y, X ), 'c_1', X ) ),
% 1.21/1.62 'c_lessequals'( Y, Z, X ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.21/1.62 ) ), ~( 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_divide'( Z, Y, X
% 1.21/1.62 ), 'c_1', X ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.21/1.62 ) ), ~( 'c_lessequals'( 'c_divide'( Z, Y, X ), 'c_1', X ) ),
% 1.21/1.62 'c_lessequals'( Z, Y, X ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.21/1.62 ) ), ~( 'c_lessequals'( Z, Y, X ) ), 'c_lessequals'( 'c_divide'( Z, Y, X
% 1.21/1.62 ), 'c_1', X ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'(
% 1.21/1.62 'c_1', Y, X ), 'c_0', X ) ), 'c_less'( Y, 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.21/1.62 ) ), 'c_less'( 'c_divide'( 'c_1', Y, X ), 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.21/1.62 ) ), ~( 'c_less'( 'c_divide'( Z, Y, X ), 'c_1', X ) ), 'c_less'( Y, Z, X
% 1.21/1.62 ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z, X ) )
% 1.21/1.62 , ~( 'c_less'( Y, 'c_0', X ) ), 'c_less'( 'c_divide'( Z, Y, X ), 'c_1', X
% 1.21/1.62 ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.21/1.62 ) ), ~( 'c_less'( 'c_divide'( Z, Y, X ), 'c_1', X ) ), 'c_less'( Z, Y, X
% 1.21/1.62 ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z, X ) )
% 1.21/1.62 , ~( 'c_less'( 'c_0', Z, X ) ), 'c_less'( 'c_divide'( Y, Z, X ), 'c_1', X
% 1.21/1.62 ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_uminus'(
% 1.21/1.62 Y, X ), Z, X ), 'c_uminus'( 'c_divide'( Y, Z, X ), X ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y, 'c_uminus'( Z,
% 1.21/1.62 X ), X ), 'c_uminus'( 'c_divide'( Y, Z, X ), X ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_0', 'c_0', X )
% 1.21/1.62 , 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_1', 'c_divide'(
% 1.21/1.62 Y, 'c_0', X ) ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_1', 'c_divide'(
% 1.21/1.62 Y, Z, X ) ) ), =( Z, Y ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), =( Y, 'c_0' ), =( 'c_1'
% 1.21/1.62 , 'c_divide'( Y, Y, X ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_times'(
% 1.21/1.62 'c_HOL_Oinverse'( Y, X ), Y, X ), 'c_1' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_times'( Y, Z, X )
% 1.21/1.62 , 'c_times'( Y, T, X ) ) ), =( Z, T ), =( Y, 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( 'c_0', Y, X )
% 1.21/1.62 , 'c_times'( 'c_0', Z, X ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_times'( Y, Z, X )
% 1.21/1.62 , 'c_times'( T, Z, X ) ) ), =( Y, T ), =( Z, 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( Y, 'c_0', X )
% 1.21/1.62 , 'c_times'( Z, 'c_0', X ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'( 'c_divide'(
% 1.21/1.62 Y, Z, X ), X ), 'c_divide'( Z, Y, X ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_HOL_Oinverse'( Y, X ),
% 1.21/1.62 'c_1' ) ), =( Y, 'c_1' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'( 'c_1', X ),
% 1.21/1.62 'c_1' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_HOL_Oinverse'( Y, X ),
% 1.21/1.62 'c_HOL_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'(
% 1.21/1.62 'c_HOL_Oinverse'( Y, X ), X ), Y ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0'
% 1.21/1.62 , Y, X ) ), ~( 'c_less'( 'c_0', Z, X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) ), 'c_lessequals'(
% 1.21/1.62 Y, Z, X ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0'
% 1.21/1.62 , Y, X ) ), ~( 'c_less'( 'c_0', Z, X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.21/1.62 , 'c_lessequals'( 'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X )
% 1.21/1.62 ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.21/1.62 'c_0', X ) ), ~( 'c_less'( Z, 'c_0', X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) ), 'c_lessequals'(
% 1.21/1.62 Y, Z, X ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.21/1.62 'c_0', X ) ), ~( 'c_less'( Z, 'c_0', X ) ), ~( 'c_lessequals'( Y, Z, X )
% 1.21/1.62 ), 'c_lessequals'( 'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X
% 1.21/1.62 ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0'
% 1.21/1.62 , Y, X ) ), ~( 'c_less'( 'c_0', Z, X ) ), ~( 'c_less'( 'c_HOL_Oinverse'(
% 1.21/1.62 Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) ), 'c_less'( Y, Z, X ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z
% 1.21/1.62 , X ) ), ~( 'c_less'( 'c_0', Y, X ) ), ~( 'c_less'( 'c_0', Z, X ) ),
% 1.21/1.62 'c_less'( 'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.21/1.62 'c_0', X ) ), ~( 'c_less'( Z, 'c_0', X ) ), ~( 'c_less'( 'c_HOL_Oinverse'(
% 1.21/1.62 Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) ), 'c_less'( Y, Z, X ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z
% 1.21/1.62 , X ) ), ~( 'c_less'( Y, 'c_0', X ) ), ~( 'c_less'( Z, 'c_0', X ) ),
% 1.21/1.62 'c_less'( 'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'( 'c_uminus'(
% 1.21/1.62 Y, X ), X ), 'c_uminus'( 'c_HOL_Oinverse'( Y, X ), X ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'( 'c_times'( Y
% 1.21/1.62 , Z, X ), X ), 'c_times'( 'c_HOL_Oinverse'( Y, X ), 'c_HOL_Oinverse'( Z,
% 1.21/1.62 X ), X ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_HOL_Oinverse'( Y, X ), 'c_0', X ) ), 'c_less'( Y, 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.21/1.62 ) ), 'c_less'( 'c_HOL_Oinverse'( Y, X ), 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.21/1.62 , 'c_HOL_Oinverse'( Y, X ), X ) ), 'c_lessequals'( 'c_0', Y, X ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.21/1.62 , Y, X ) ), 'c_lessequals'( 'c_0', 'c_HOL_Oinverse'( Y, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_HOL_Oinverse'( Y, X ), 'c_0', X ) ), 'c_lessequals'( Y, 'c_0', X ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.21/1.62 'c_0', X ) ), 'c_lessequals'( 'c_HOL_Oinverse'( Y, X ), 'c_0', X ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_HOL_Oinverse'( Y, X ),
% 1.21/1.62 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'( 'c_0', X ),
% 1.21/1.62 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.21/1.62 'c_HOL_Oinverse'( Y, X ), X ) ), 'c_less'( 'c_0', Y, X ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.21/1.62 ) ), 'c_less'( 'c_0', 'c_HOL_Oinverse'( Y, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.21/1.62 ) ), ~( 'c_lessequals'( 'c_1', 'c_divide'( Z, Y, X ), X ) ),
% 1.21/1.62 'c_lessequals'( Z, Y, X ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.21/1.62 ) ), ~( 'c_lessequals'( Z, Y, X ) ), 'c_lessequals'( 'c_1', 'c_divide'(
% 1.21/1.62 Z, Y, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.21/1.62 ) ), ~( 'c_lessequals'( 'c_1', 'c_divide'( Z, Y, X ), X ) ),
% 1.21/1.62 'c_lessequals'( Y, Z, X ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.21/1.62 ) ), ~( 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_1', 'c_divide'(
% 1.21/1.62 Z, Y, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.21/1.62 ) ), ~( 'c_less'( 'c_1', 'c_divide'( Z, Y, X ), X ) ), 'c_less'( Z, Y, X
% 1.21/1.62 ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z, X ) )
% 1.21/1.62 , ~( 'c_less'( Z, 'c_0', X ) ), 'c_less'( 'c_1', 'c_divide'( Y, Z, X ), X
% 1.21/1.62 ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.21/1.62 ) ), ~( 'c_less'( 'c_1', 'c_divide'( Z, Y, X ), X ) ), 'c_less'( Y, Z, X
% 1.21/1.62 ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z, X ) )
% 1.21/1.62 , ~( 'c_less'( 'c_0', Y, X ) ), 'c_less'( 'c_1', 'c_divide'( Z, Y, X ), X
% 1.21/1.62 ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_uminus'( Y, X )
% 1.21/1.62 , 'c_uminus'( Z, X ), X ), 'c_divide'( Y, Z, X ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 'c_times'( 'c_uminus'( Y
% 1.21/1.62 , X ), 'c_uminus'( Z, X ), X ), 'c_times'( Y, Z, X ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( Y, 'c_times'(
% 1.21/1.62 Y, Z, X ) ) ), =( Y, 'c_0' ), =( Z, 'c_1' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 'c_0', 'c_times'(
% 1.21/1.62 'c_0', Y, X ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 'c_times'( Y
% 1.21/1.62 , 'c_1', X ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_times'( Y
% 1.21/1.62 , Z, X ), Y ) ), =( Y, 'c_0' ), =( Z, 'c_1' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( Y, 'c_times'(
% 1.21/1.62 Z, Y, X ) ) ), =( Y, 'c_0' ), =( Z, 'c_1' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 'c_0', 'c_times'(
% 1.21/1.62 Y, 'c_0', X ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 'c_times'(
% 1.21/1.62 'c_1', Y, X ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_times'( Y
% 1.21/1.62 , Z, X ), Z ) ), =( Z, 'c_0' ), =( Y, 'c_1' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_0', 'c_times'(
% 1.21/1.62 'c_0', Y, X ), X ), 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'( Y,
% 1.21/1.62 'c_times'( Y, Z, X ), X ), 'c_divide'( 'c_1', Z, X ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_times'( 'c_0',
% 1.21/1.62 Y, X ), 'c_0', X ), 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'(
% 1.21/1.62 'c_times'( Y, Z, X ), Y, X ), Z ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_times'( 'c_0',
% 1.21/1.62 Y, X ), 'c_times'( 'c_0', Z, X ), X ), 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'(
% 1.21/1.62 'c_times'( Y, Z, X ), 'c_times'( Y, T, X ), X ), 'c_divide'( Z, T, X ) )
% 1.21/1.62 ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_0', 'c_times'(
% 1.21/1.62 Y, 'c_0', X ), X ), 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'( Y,
% 1.21/1.62 'c_times'( Z, Y, X ), X ), 'c_divide'( 'c_1', Z, X ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_times'( Y,
% 1.21/1.62 'c_0', X ), 'c_0', X ), 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'(
% 1.21/1.62 'c_times'( Z, Y, X ), Y, X ), Z ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_times'( Y,
% 1.21/1.62 'c_0', X ), 'c_times'( Z, 'c_0', X ), X ), 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'(
% 1.21/1.62 'c_times'( Z, Y, X ), 'c_times'( T, Y, X ), X ), 'c_divide'( Z, T, X ) )
% 1.21/1.62 ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 1.21/1.62 'c_times'( Y, Z, X ), 'c_0' ) ), =( Z, 'c_0' ), =( Y, 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 'c_times'( 'c_uminus'( Y
% 1.21/1.62 , X ), Z, X ), 'c_uminus'( 'c_times'( Y, Z, X ), X ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 'c_times'( Y, 'c_uminus'(
% 1.21/1.62 Z, X ), X ), 'c_uminus'( 'c_times'( Y, Z, X ), X ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), =( 'c_times'(
% 1.21/1.62 'c_0', Y, X ), 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), =( 'c_times'(
% 1.21/1.62 Y, 'c_0', X ), 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.21/1.62 'c_lessequals'( 'c_1', 'c_0', X ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'(
% 1.21/1.62 'c_1', 'c_0', X ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_divide'( 'c_1'
% 1.21/1.62 , Y, X ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), =( 'c_divide'( 'c_1',
% 1.21/1.62 'c_0', X ), 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_1', 'c_divide'( Y, Z, X
% 1.21/1.62 ) ) ), =( Y, Z ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ), ~( =( 'c_1',
% 1.21/1.62 'c_0' ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_less'( 'c_0'
% 1.21/1.62 , 'c_1', X ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_times'(
% 1.21/1.62 Y, 'c_HOL_Oinverse'( Y, X ), X ), 'c_1' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( Y, 'c_divide'(
% 1.21/1.62 Z, T, X ), X ), 'c_divide'( 'c_times'( Y, Z, X ), T, X ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( 'c_divide'( Y
% 1.21/1.62 , Z, X ), T, X ), 'c_divide'( 'c_times'( Y, T, X ), Z, X ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( 'c_divide'( Y,
% 1.21/1.62 'c_0', X ), 'c_0', X ), 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_times'(
% 1.21/1.62 'c_divide'( Z, Y, X ), Y, X ), Z ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( 'c_0', 'c_divide'(
% 1.21/1.62 Y, 'c_0', X ), X ), 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_times'( Y,
% 1.21/1.62 'c_divide'( Z, Y, X ), X ), Z ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_0', 'c_divide'(
% 1.21/1.62 'c_1', Y, X ) ) ), =( Y, 'c_0' ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), =( 'c_0', 'c_divide'(
% 1.21/1.62 'c_1', 'c_0', X ) ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.21/1.62 , 'c_divide'( 'c_1', Y, X ), X ) ), 'c_lessequals'( 'c_0', Y, X ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.21/1.62 , Y, X ) ), 'c_lessequals'( 'c_0', 'c_divide'( 'c_1', Y, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.21/1.62 'c_0', 'c_1', X ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.21/1.62 'c_divide'( 'c_1', Y, X ), X ) ), 'c_less'( 'c_0', Y, X ) ],
% 1.21/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.21/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.21/1.62 ) ), 'c_less'( 'c_0', 'c_divide'( 'c_1', Y, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_uminus'(
% 1.21/1.62 'c_SetInterval_OatLeast'( Y, X ), 'tc_set'( X ) ),
% 1.21/1.62 'c_SetInterval_OlessThan'( Y, X ) ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_uminus'(
% 1.21/1.62 'c_SetInterval_OatMost'( Y, X ), 'tc_set'( X ) ),
% 1.21/1.62 'c_SetInterval_OgreaterThan'( Y, X ) ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_uminus'(
% 1.21/1.62 'c_SetInterval_OgreaterThan'( Y, X ), 'tc_set'( X ) ),
% 1.21/1.62 'c_SetInterval_OatMost'( Y, X ) ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_uminus'(
% 1.21/1.62 'c_SetInterval_OlessThan'( Y, X ), 'tc_set'( X ) ),
% 1.21/1.62 'c_SetInterval_OatLeast'( Y, X ) ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_less'( Y, Z, X ) ), =(
% 1.21/1.62 'c_SetInterval_OatLeastAtMost'( Z, Y, X ), 'c_emptyset' ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.21/1.62 'c_SetInterval_OatLeastAtMost'( Z, T, X ), X ) ), 'c_lessequals'( Z, Y, X
% 1.21/1.62 ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.21/1.62 'c_SetInterval_OatLeastAtMost'( Z, T, X ), X ) ), 'c_lessequals'( Y, T, X
% 1.21/1.62 ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ), ~(
% 1.21/1.62 'c_lessequals'( T, Y, X ) ), 'c_in'( Y, 'c_SetInterval_OatLeastAtMost'( T
% 1.21/1.62 , Z, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_SetInterval_OatLeastAtMost'(
% 1.21/1.62 Y, Y, X ), 'c_insert'( Y, 'c_emptyset', X ) ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ),
% 1.21/1.62 =( 'c_SetInterval_OatLeastLessThan'( Z, Y, X ), 'c_emptyset' ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.21/1.62 'c_SetInterval_OatLeastLessThan'( Z, T, X ), X ) ), 'c_lessequals'( Z, Y
% 1.21/1.62 , X ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.21/1.62 'c_SetInterval_OatLeastLessThan'( Z, T, X ), X ) ), 'c_less'( Y, T, X ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X ) ), ~(
% 1.21/1.62 'c_lessequals'( T, Y, X ) ), 'c_in'( Y, 'c_SetInterval_OatLeastLessThan'(
% 1.21/1.62 T, Z, X ), X ) ],
% 1.21/1.62 [ =( 'c_SetInterval_OatLeastLessThan'( X, 'c_Suc'( X ), 'tc_nat' ),
% 1.21/1.62 'c_insert'( X, 'c_emptyset', 'tc_nat' ) ) ],
% 1.21/1.62 [ =( 'c_SetInterval_OatLeast'( 'c_0', 'tc_nat' ), 'c_UNIV' ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 'c_SetInterval_OatLeast'(
% 1.21/1.62 Y, X ), 'c_SetInterval_OatLeast'( Z, X ) ) ), =( Y, Z ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.21/1.62 'c_SetInterval_OatLeast'( Z, X ), X ) ), 'c_lessequals'( Z, Y, X ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ),
% 1.21/1.62 'c_in'( Z, 'c_SetInterval_OatLeast'( Y, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_SetInterval_OatLeast'( Y, X ), 'c_SetInterval_OatLeast'( Z, X ),
% 1.21/1.62 'tc_set'( X ) ) ), 'c_lessequals'( Z, Y, X ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ),
% 1.21/1.62 'c_lessequals'( 'c_SetInterval_OatLeast'( Z, X ),
% 1.21/1.62 'c_SetInterval_OatLeast'( Y, X ), 'tc_set'( X ) ) ],
% 1.21/1.62 [ =( 'c_SetInterval_OatMost'( 'c_0', 'tc_nat' ), 'c_insert'( 'c_0',
% 1.21/1.62 'c_emptyset', 'tc_nat' ) ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 'c_SetInterval_OatMost'(
% 1.21/1.62 Y, X ), 'c_SetInterval_OatMost'( Z, X ) ) ), =( Y, Z ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.21/1.62 'c_SetInterval_OatMost'( Z, X ), X ) ), 'c_lessequals'( Y, Z, X ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ),
% 1.21/1.62 'c_in'( Y, 'c_SetInterval_OatMost'( Z, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_SetInterval_OatMost'( Y, X ), 'c_SetInterval_OatMost'( Z, X ),
% 1.21/1.62 'tc_set'( X ) ) ), 'c_lessequals'( Y, Z, X ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ),
% 1.21/1.62 'c_lessequals'( 'c_SetInterval_OatMost'( Y, X ), 'c_SetInterval_OatMost'(
% 1.21/1.62 Z, X ), 'tc_set'( X ) ) ],
% 1.21/1.62 [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OatLeastAtMost'( X, Y,
% 1.21/1.62 'tc_nat' ), 'tc_nat' ), 'c_minus'( 'c_Suc'( Y ), X, 'tc_nat' ) ) ],
% 1.21/1.62 [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OatLeastAtMost'( X, Y,
% 1.21/1.62 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_IntDef_Onat'( 'c_plus'(
% 1.21/1.62 'c_minus'( Y, X, 'tc_IntDef_Oint' ), 'c_1', 'tc_IntDef_Oint' ) ) ) ],
% 1.21/1.62 [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OatLeastLessThan'( X, Y,
% 1.21/1.62 'tc_nat' ), 'tc_nat' ), 'c_minus'( Y, X, 'tc_nat' ) ) ],
% 1.21/1.62 [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OatLeastLessThan'( X, Y,
% 1.21/1.62 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_IntDef_Onat'( 'c_minus'( Y, X
% 1.21/1.62 , 'tc_IntDef_Oint' ) ) ) ],
% 1.21/1.62 [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OatMost'( X, 'tc_nat' ),
% 1.21/1.62 'tc_nat' ), 'c_Suc'( X ) ) ],
% 1.21/1.62 [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OgreaterThanAtMost'( X, Y,
% 1.21/1.62 'tc_nat' ), 'tc_nat' ), 'c_minus'( Y, X, 'tc_nat' ) ) ],
% 1.21/1.62 [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OgreaterThanAtMost'( X, Y,
% 1.21/1.62 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_IntDef_Onat'( 'c_minus'( Y, X
% 1.21/1.62 , 'tc_IntDef_Oint' ) ) ) ],
% 1.21/1.62 [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OgreaterThanLessThan'( X, Y,
% 1.21/1.62 'tc_nat' ), 'tc_nat' ), 'c_minus'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ],
% 1.21/1.62 [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OgreaterThanLessThan'( X, Y,
% 1.21/1.62 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_IntDef_Onat'( 'c_minus'( Y,
% 1.21/1.62 'c_plus'( X, 'c_1', 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ) ],
% 1.21/1.62 [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OlessThan'( X, 'tc_nat' ),
% 1.21/1.62 'tc_nat' ), X ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ),
% 1.21/1.62 =( 'c_SetInterval_OgreaterThanAtMost'( Z, Y, X ), 'c_emptyset' ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.21/1.62 'c_SetInterval_OgreaterThanAtMost'( Z, T, X ), X ) ), 'c_less'( Z, Y, X )
% 1.21/1.62 ],
% 1.21/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.21/1.62 'c_SetInterval_OgreaterThanAtMost'( Z, T, X ), X ) ), 'c_lessequals'( Y,
% 1.21/1.62 T, X ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X ) ), ~(
% 1.21/1.62 'c_lessequals'( Z, T, X ) ), 'c_in'( Z,
% 1.21/1.62 'c_SetInterval_OgreaterThanAtMost'( Y, T, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.21/1.62 'c_SetInterval_OgreaterThanLessThan'( Z, T, X ), X ) ), 'c_less'( Z, Y, X
% 1.21/1.62 ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.21/1.62 'c_SetInterval_OgreaterThanLessThan'( Z, T, X ), X ) ), 'c_less'( Y, T, X
% 1.21/1.62 ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X ) ), ~(
% 1.21/1.62 'c_less'( T, Y, X ) ), 'c_in'( Y, 'c_SetInterval_OgreaterThanLessThan'( T
% 1.21/1.62 , Z, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 1.21/1.62 'c_SetInterval_OgreaterThan'( Y, X ), 'c_SetInterval_OgreaterThan'( Z, X
% 1.21/1.62 ) ) ), =( Y, Z ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.21/1.62 'c_SetInterval_OgreaterThan'( Z, X ), X ) ), 'c_less'( Z, Y, X ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X ) ), 'c_in'( Z
% 1.21/1.62 , 'c_SetInterval_OgreaterThan'( Y, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_SetInterval_OgreaterThan'( Y, X ), 'c_SetInterval_OgreaterThan'( Z, X
% 1.21/1.62 ), 'tc_set'( X ) ) ), 'c_lessequals'( Z, Y, X ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.21/1.62 , 'c_lessequals'( 'c_SetInterval_OgreaterThan'( Z, X ),
% 1.21/1.62 'c_SetInterval_OgreaterThan'( Y, X ), 'tc_set'( X ) ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.21/1.62 , =( 'c_minus'( 'c_SetInterval_OatLeastLessThan'( Y, T, X ),
% 1.21/1.62 'c_SetInterval_OatLeastLessThan'( Y, Z, X ), 'tc_set'( X ) ),
% 1.21/1.62 'c_SetInterval_OatLeastLessThan'( Z, T, X ) ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_SetInterval_OatLeastLessThan'( Y, Z, X ),
% 1.21/1.62 'c_SetInterval_OatLeastLessThan'( T, U, X ), 'tc_set'( X ) ) ),
% 1.21/1.62 'c_lessequals'( T, Y, X ), 'c_lessequals'( Z, Y, X ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_SetInterval_OatLeastLessThan'( Y, Z, X ),
% 1.21/1.62 'c_SetInterval_OatLeastLessThan'( T, U, X ), 'tc_set'( X ) ) ),
% 1.21/1.62 'c_lessequals'( Z, U, X ), 'c_lessequals'( Z, Y, X ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.21/1.62 , 'c_lessequals'( 'c_SetInterval_OatLeastLessThan'( Z, Y, X ),
% 1.21/1.62 'c_SetInterval_OatLeastLessThan'( T, U, X ), 'tc_set'( X ) ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.21/1.62 , ~( 'c_lessequals'( T, U, X ) ), 'c_lessequals'(
% 1.21/1.62 'c_SetInterval_OatLeastLessThan'( U, Y, X ),
% 1.21/1.62 'c_SetInterval_OatLeastLessThan'( T, Z, X ), 'tc_set'( X ) ) ],
% 1.21/1.62 [ =( 'c_SetInterval_OlessThan'( 'c_0', 'tc_nat' ), 'c_emptyset' ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 'c_SetInterval_OlessThan'(
% 1.21/1.62 Y, X ), 'c_SetInterval_OlessThan'( Z, X ) ) ), =( Y, Z ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.21/1.62 'c_SetInterval_OlessThan'( Z, X ), X ) ), 'c_less'( Y, Z, X ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X ) ), 'c_in'( Y
% 1.21/1.62 , 'c_SetInterval_OlessThan'( Z, X ), X ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 1.21/1.62 'c_SetInterval_OlessThan'( Y, X ), 'c_SetInterval_OlessThan'( Z, X ),
% 1.21/1.62 'tc_set'( X ) ) ), 'c_lessequals'( Y, Z, X ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.21/1.62 , 'c_lessequals'( 'c_SetInterval_OlessThan'( Y, X ),
% 1.21/1.62 'c_SetInterval_OlessThan'( Z, X ), 'tc_set'( X ) ) ],
% 1.21/1.62 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_minus'( 'c_insert'( Y,
% 1.21/1.62 'c_emptyset', X ), 'c_SetInterval_OlessThan'( Y, X ), 'tc_set'( X ) ),
% 1.21/1.62 'c_insert'( Y, 'c_emptyset', X ) ) ],
% 1.21/1.62 [ =( 'c_uminus'( 'c_minus'( X, Y, 'tc_set'( Z ) ), 'tc_set'( Z ) ),
% 1.21/1.62 'c_union'( 'c_uminus'( X, 'tc_set'( Z ) ), Y, Z ) ) ],
% 1.21/1.62 [ =( 'c_uminus'( 'c_inter'( X, Y, Z ), 'tc_set'( Z ) ), 'c_union'(
% 1.21/1.62 'c_uminus'( X, 'tc_set'( Z ) ), 'c_uminus'( Y, 'tc_set'( Z ) ), Z ) ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ =( 'c_uminus'( 'c_UNIV', 'tc_set'( X ) ), 'c_emptyset' ) ],
% 1.21/1.62 [ =( 'c_uminus'( 'c_union'( X, Y, Z ), 'tc_set'( Z ) ), 'c_inter'(
% 1.21/1.62 'c_uminus'( X, 'tc_set'( Z ) ), 'c_uminus'( Y, 'tc_set'( Z ) ), Z ) ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ =( 'c_inter'( 'c_uminus'( X, 'tc_set'( Y ) ), X, Y ), 'c_emptyset' ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ =( 'c_inter'( X, 'c_uminus'( X, 'tc_set'( Y ) ), Y ), 'c_emptyset' ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ =( 'c_uminus'( 'c_emptyset', 'tc_set'( X ) ), 'c_UNIV' ) ],
% 1.21/1.62 [ ~( =( 'c_uminus'( X, 'tc_set'( Y ) ), 'c_uminus'( Z, 'tc_set'( Y ) ) )
% 1.21/1.62 ), =( X, Z ) ],
% 1.21/1.62 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_uminus'( Y, 'tc_set'( Z ) ),
% 1.21/1.62 Z ) ) ],
% 1.21/1.62 [ 'c_in'( X, Y, Z ), 'c_in'( X, 'c_uminus'( Y, 'tc_set'( Z ) ), Z ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'c_lessequals'( 'c_uminus'( X, 'tc_set'( Y ) ), 'c_uminus'( Z,
% 1.21/1.62 'tc_set'( Y ) ), 'tc_set'( Y ) ) ), 'c_lessequals'( Z, X, 'tc_set'( Y ) )
% 1.21/1.62 ],
% 1.21/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_uminus'(
% 1.21/1.62 Y, 'tc_set'( Z ) ), 'c_uminus'( X, 'tc_set'( Z ) ), 'tc_set'( Z ) ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ =( 'c_minus'( X, 'c_uminus'( Y, 'tc_set'( Z ) ), 'tc_set'( Z ) ),
% 1.21/1.62 'c_inter'( X, Y, Z ) ) ],
% 1.21/1.62 [ =( 'c_minus'( X, 'c_UNIV', 'tc_set'( Y ) ), 'c_emptyset' ) ],
% 1.21/1.62 [ =( 'c_minus'( X, X, 'tc_set'( Y ) ), 'c_emptyset' ) ],
% 1.21/1.62 [ =( 'c_inter'( X, 'c_minus'( Y, X, 'tc_set'( Z ) ), Z ), 'c_emptyset' )
% 1.21/1.62 ],
% 1.21/1.62 [ =( 'c_minus'( X, 'c_emptyset', 'tc_set'( Y ) ), X ) ],
% 1.21/1.62 [ ~( =( 'c_minus'( X, Y, 'tc_set'( Z ) ), 'c_emptyset' ) ),
% 1.21/1.62 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ],
% 1.21/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), =( 'c_minus'( X, Y,
% 1.21/1.62 'tc_set'( Z ) ), 'c_emptyset' ) ],
% 1.21/1.62 [ =( 'c_minus'( 'c_minus'( X, Y, 'tc_set'( Z ) ), Y, 'tc_set'( Z ) ),
% 1.21/1.62 'c_minus'( X, Y, 'tc_set'( Z ) ) ) ],
% 1.21/1.62 [ ~( 'c_in'( X, 'c_minus'( Y, Z, 'tc_set'( T ) ), T ) ), 'c_in'( X, Y, T
% 1.21/1.62 ) ],
% 1.21/1.62 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_minus'( T, Y, 'tc_set'( Z ) )
% 1.21/1.62 , Z ) ) ],
% 1.21/1.62 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, T, Z ), 'c_in'( X, 'c_minus'( Y, T
% 1.21/1.62 , 'tc_set'( Z ) ), Z ) ],
% 1.21/1.62 [ 'c_in'( X, Y, Z ), =( 'c_minus'( Y, 'c_insert'( X, T, Z ), 'tc_set'( Z
% 1.21/1.62 ) ), 'c_minus'( Y, T, 'tc_set'( Z ) ) ) ],
% 1.21/1.62 [ ~( =( 'c_inter'( X, Y, Z ), 'c_UNIV' ) ), =( X, 'c_UNIV' ) ],
% 1.21/1.62 [ ~( =( 'c_inter'( X, Y, Z ), 'c_UNIV' ) ), =( Y, 'c_UNIV' ) ],
% 1.21/1.62 [ =( 'c_inter'( 'c_UNIV', 'c_UNIV', X ), 'c_UNIV' ) ],
% 1.21/1.62 [ =( 'c_inter'( 'c_UNIV', X, Y ), X ) ],
% 1.21/1.62 [ =( 'c_inter'( X, 'c_UNIV', Y ), X ) ],
% 1.21/1.62 [ =( 'c_inter'( X, X, Y ), X ) ],
% 1.21/1.62 [ =( 'c_inter'( 'c_emptyset', X, Y ), 'c_emptyset' ) ],
% 1.21/1.62 [ =( 'c_inter'( X, 'c_emptyset', Y ), 'c_emptyset' ) ],
% 1.21/1.62 [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Y, T ) ],
% 1.21/1.62 [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ) ],
% 1.21/1.62 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), 'c_in'( X, 'c_inter'(
% 1.21/1.62 T, Y, Z ), Z ) ],
% 1.21/1.62 [ ~( 'c_lessequals'( X, 'c_inter'( Y, Z, T ), 'tc_set'( T ) ) ),
% 1.21/1.62 'c_lessequals'( X, Y, 'tc_set'( T ) ) ],
% 1.21/1.62 [ ~( 'c_lessequals'( X, 'c_inter'( Y, Z, T ), 'tc_set'( T ) ) ),
% 1.21/1.62 'c_lessequals'( X, Z, 'tc_set'( T ) ) ],
% 1.21/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( X, T,
% 1.21/1.62 'tc_set'( Z ) ) ), 'c_lessequals'( X, 'c_inter'( T, Y, Z ), 'tc_set'( Z )
% 1.21/1.62 ) ],
% 1.21/1.62 [ =( 'c_Inter'( 'c_UNIV', X ), 'c_emptyset' ) ],
% 1.21/1.62 [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( =( 'c_Inter'( Y, Z ), 'c_UNIV'
% 1.21/1.62 ) ), =( X, 'c_UNIV' ) ],
% 1.21/1.62 [ 'c_in'( 'c_Main_OInter__UNIV__conv__1__1'( X, Y ), X, 'tc_set'( Y ) )
% 1.21/1.62 , =( 'c_Inter'( X, Y ), 'c_UNIV' ) ],
% 1.21/1.62 [ ~( =( 'c_Main_OInter__UNIV__conv__1__1'( X, Y ), 'c_UNIV' ) ), =(
% 1.21/1.62 'c_Inter'( X, Y ), 'c_UNIV' ) ],
% 1.21/1.62 [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( =( 'c_UNIV', 'c_Inter'( Y, Z )
% 1.21/1.62 ) ), =( X, 'c_UNIV' ) ],
% 1.21/1.62 [ 'c_in'( 'c_Main_OInter__UNIV__conv__2__1'( X, Y ), X, 'tc_set'( Y ) )
% 1.21/1.62 , =( 'c_UNIV', 'c_Inter'( X, Y ) ) ],
% 1.21/1.62 [ ~( =( 'c_Main_OInter__UNIV__conv__2__1'( X, Y ), 'c_UNIV' ) ), =(
% 1.21/1.62 'c_UNIV', 'c_Inter'( X, Y ) ) ],
% 1.21/1.62 [ =( 'c_Inter'( 'c_emptyset', X ), 'c_UNIV' ) ],
% 1.21/1.62 [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_in'( T, 'c_Inter'( Y, Z ), Z
% 1.21/1.62 ) ), 'c_in'( T, X, Z ) ],
% 1.21/1.62 [ 'c_in'( X, 'c_Inter'( Y, Z ), Z ), 'c_in'( 'c_Main_OInter__iff__1'( X
% 1.21/1.62 , Y, Z ), Y, 'tc_set'( Z ) ) ],
% 1.21/1.62 [ ~( 'c_in'( X, 'c_Main_OInter__iff__1'( X, Y, Z ), Z ) ), 'c_in'( X,
% 1.21/1.62 'c_Inter'( Y, Z ), Z ) ],
% 1.21/1.62 [ =( 'c_Inter'( 'c_insert'( X, Y, 'tc_set'( Z ) ), Z ), 'c_inter'( X,
% 1.21/1.62 'c_Inter'( Y, Z ), Z ) ) ],
% 1.21/1.62 [ =( 'c_Pow'( 'c_inter'( X, Y, Z ), Z ), 'c_inter'( 'c_Pow'( X, Z ),
% 1.21/1.62 'c_Pow'( Y, Z ), 'tc_set'( Z ) ) ) ],
% 1.21/1.62 [ =( 'c_Pow'( 'c_UNIV', X ), 'c_UNIV' ) ],
% 1.21/1.62 [ =( 'c_Pow'( 'c_emptyset', X ), 'c_insert'( 'c_emptyset', 'c_emptyset'
% 1.21/1.62 , 'tc_set'( X ) ) ) ],
% 1.21/1.62 [ ~( 'c_in'( X, 'c_Pow'( Y, Z ), 'tc_set'( Z ) ) ), 'c_lessequals'( X, Y
% 1.21/1.62 , 'tc_set'( Z ) ) ],
% 1.21/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_in'( X, 'c_Pow'( Y, Z )
% 1.21/1.62 , 'tc_set'( Z ) ) ],
% 1.21/1.62 [ ~( =( 'c_UNIV', 'c_emptyset' ) ) ],
% 1.21/1.62 [ =( 'c_union'( 'c_minus'( X, Y, 'tc_set'( Z ) ), Y, Z ), 'c_union'( X,
% 1.21/1.62 Y, Z ) ) ],
% 1.21/1.62 [ =( 'c_union'( X, 'c_minus'( Y, X, 'tc_set'( Z ) ), Z ), 'c_union'( X,
% 1.21/1.62 Y, Z ) ) ],
% 1.21/1.62 [ =( 'c_union'( 'c_UNIV', X, Y ), 'c_UNIV' ) ],
% 1.21/1.62 [ =( 'c_union'( X, 'c_UNIV', Y ), 'c_UNIV' ) ],
% 1.21/1.62 [ =( 'c_union'( X, X, Y ), X ) ],
% 1.21/1.62 [ ~( =( 'c_union'( X, Y, Z ), 'c_emptyset' ) ), =( X, 'c_emptyset' ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( =( 'c_union'( X, Y, Z ), 'c_emptyset' ) ), =( Y, 'c_emptyset' ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ =( 'c_union'( 'c_emptyset', 'c_emptyset', X ), 'c_emptyset' ) ],
% 1.21/1.62 [ =( 'c_union'( 'c_emptyset', X, Y ), X ) ],
% 1.21/1.62 [ =( 'c_union'( X, 'c_emptyset', Y ), X ) ],
% 1.21/1.62 [ ~( 'c_in'( X, 'c_union'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ), 'c_in'(
% 1.21/1.62 X, Y, T ) ],
% 1.21/1.62 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( Y, T, Z ), Z ) ],
% 1.21/1.62 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( T, Y, Z ), Z ) ],
% 1.21/1.62 [ =( 'c_union'( 'c_insert'( X, Y, Z ), T, Z ), 'c_insert'( X, 'c_union'(
% 1.21/1.62 Y, T, Z ), Z ) ) ],
% 1.21/1.62 [ =( 'c_union'( X, 'c_insert'( Y, Z, T ), T ), 'c_insert'( Y, 'c_union'(
% 1.21/1.62 X, Z, T ), T ) ) ],
% 1.21/1.62 [ ~( 'c_lessequals'( 'c_union'( X, Y, Z ), T, 'tc_set'( Z ) ) ),
% 1.21/1.62 'c_lessequals'( X, T, 'tc_set'( Z ) ) ],
% 1.21/1.62 [ ~( 'c_lessequals'( 'c_union'( X, Y, Z ), T, 'tc_set'( Z ) ) ),
% 1.21/1.62 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ],
% 1.21/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( T, Y,
% 1.21/1.62 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_union'( T, X, Z ), Y, 'tc_set'( Z )
% 1.21/1.62 ) ],
% 1.21/1.62 [ =( 'c_Union'( 'c_Pow'( X, Y ), Y ), X ) ],
% 1.21/1.62 [ =( 'c_Union'( 'c_UNIV', X ), 'c_UNIV' ) ],
% 1.21/1.62 [ =( 'c_Union'( 'c_union'( X, Y, 'tc_set'( Z ) ), Z ), 'c_union'(
% 1.21/1.62 'c_Union'( X, Z ), 'c_Union'( Y, Z ), Z ) ) ],
% 1.21/1.62 [ =( 'c_Union'( 'c_emptyset', X ), 'c_emptyset' ) ],
% 1.21/1.62 [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( =( 'c_Union'( Y, Z ),
% 1.21/1.62 'c_emptyset' ) ), =( X, 'c_emptyset' ) ],
% 1.21/1.62 [ 'c_in'( 'c_Main_OUnion__empty__conv__1'( X, Y ), X, 'tc_set'( Y ) ),
% 1.21/1.62 =( 'c_Union'( X, Y ), 'c_emptyset' ) ],
% 1.21/1.62 [ ~( =( 'c_Main_OUnion__empty__conv__1'( X, Y ), 'c_emptyset' ) ), =(
% 1.21/1.62 'c_Union'( X, Y ), 'c_emptyset' ) ],
% 1.21/1.62 [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'(
% 1.21/1.62 'c_Main_OUnion__iff__1'( X, Y, Z ), Y, 'tc_set'( Z ) ) ],
% 1.21/1.62 [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( X,
% 1.21/1.62 'c_Main_OUnion__iff__1'( X, Y, Z ), Z ) ],
% 1.21/1.62 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( Y, T, 'tc_set'( Z ) ) ), 'c_in'( X
% 1.21/1.62 , 'c_Union'( T, Z ), Z ) ],
% 1.21/1.62 [ =( 'c_Union'( 'c_insert'( X, Y, 'tc_set'( Z ) ), Z ), 'c_union'( X,
% 1.21/1.62 'c_Union'( Y, Z ), Z ) ) ],
% 1.21/1.62 [ 'c_in'( 'c_Main_Oall__not__in__conv__1'( X, Y ), X, Y ), =( X,
% 1.21/1.62 'c_emptyset' ) ],
% 1.21/1.62 [ =( 'c_Set_Ocontents'( 'c_insert'( X, 'c_emptyset', Y ), Y ), X ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'c_in'( X, Y, Z ) ), ~( =( 'c_inter'( Y, 'c_insert'( X, T, Z ), Z )
% 1.21/1.62 , 'c_emptyset' ) ) ],
% 1.21/1.62 [ ~( =( 'c_inter'( X, 'c_insert'( Y, Z, T ), T ), 'c_emptyset' ) ), =(
% 1.21/1.62 'c_inter'( X, Z, T ), 'c_emptyset' ) ],
% 1.21/1.62 [ ~( =( 'c_inter'( X, Y, Z ), 'c_emptyset' ) ), 'c_in'( T, X, Z ), =(
% 1.21/1.62 'c_inter'( X, 'c_insert'( T, Y, Z ), Z ), 'c_emptyset' ) ],
% 1.21/1.62 [ ~( 'c_in'( X, Y, Z ) ), ~( =( 'c_emptyset', 'c_inter'( Y, 'c_insert'(
% 1.21/1.62 X, T, Z ), Z ) ) ) ],
% 1.21/1.62 [ ~( =( 'c_emptyset', 'c_inter'( X, 'c_insert'( Y, Z, T ), T ) ) ), =(
% 1.21/1.62 'c_emptyset', 'c_inter'( X, Z, T ) ) ],
% 1.21/1.62 [ ~( =( 'c_emptyset', 'c_inter'( X, Y, Z ) ) ), 'c_in'( T, X, Z ), =(
% 1.21/1.62 'c_emptyset', 'c_inter'( X, 'c_insert'( T, Y, Z ), Z ) ) ],
% 1.21/1.62 [ =( 'c_uminus'( 'c_uminus'( X, 'tc_set'( Y ) ), 'tc_set'( Y ) ), X ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ =( 'c_minus'( 'c_emptyset', X, 'tc_set'( Y ) ), 'c_emptyset' ) ],
% 1.21/1.62 [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( =( 'c_emptyset', 'c_Union'( Y,
% 1.21/1.62 Z ) ) ), =( X, 'c_emptyset' ) ],
% 1.21/1.62 [ 'c_in'( 'c_Main_Oempty__Union__conv__1'( X, Y ), X, 'tc_set'( Y ) ),
% 1.21/1.62 =( 'c_emptyset', 'c_Union'( X, Y ) ) ],
% 1.21/1.62 [ ~( =( 'c_Main_Oempty__Union__conv__1'( X, Y ), 'c_emptyset' ) ), =(
% 1.21/1.62 'c_emptyset', 'c_Union'( X, Y ) ) ],
% 1.21/1.62 [ ~( 'c_in'( X, 'c_emptyset', Y ) ) ],
% 1.21/1.62 [ ~( =( 'c_emptyset', 'c_insert'( X, Y, Z ) ) ) ],
% 1.21/1.62 [ ~( 'c_in'( X, Y, Z ) ), =( 'c_minus'( 'c_insert'( X, T, Z ), Y,
% 1.21/1.62 'tc_set'( Z ) ), 'c_minus'( T, Y, 'tc_set'( Z ) ) ) ],
% 1.21/1.62 [ =( 'c_insert'( X, 'c_minus'( Y, 'c_insert'( X, 'c_emptyset', Z ),
% 1.21/1.62 'tc_set'( Z ) ), Z ), 'c_insert'( X, Y, Z ) ) ],
% 1.21/1.62 [ =( 'c_insert'( X, 'c_insert'( X, Y, Z ), Z ), 'c_insert'( X, Y, Z ) )
% 1.21/1.62 ],
% 1.21/1.62 [ ~( 'c_in'( X, Y, Z ) ), ~( =( 'c_inter'( 'c_insert'( X, T, Z ), Y, Z )
% 1.21/1.62 , 'c_emptyset' ) ) ],
% 1.21/1.62 [ ~( =( 'c_inter'( 'c_insert'( X, Y, Z ), T, Z ), 'c_emptyset' ) ), =(
% 1.21/1.62 'c_inter'( Y, T, Z ), 'c_emptyset' ) ],
% 1.21/1.62 [ ~( =( 'c_inter'( X, Y, Z ), 'c_emptyset' ) ), 'c_in'( T, Y, Z ), =(
% 1.21/1.62 'c_inter'( 'c_insert'( T, X, Z ), Y, Z ), 'c_emptyset' ) ],
% 1.21/1.62 [ ~( 'c_in'( X, Y, Z ) ), ~( =( 'c_emptyset', 'c_inter'( 'c_insert'( X,
% 1.21/1.62 T, Z ), Y, Z ) ) ) ],
% 1.21/1.62 [ ~( =( 'c_emptyset', 'c_inter'( 'c_insert'( X, Y, Z ), T, Z ) ) ), =(
% 1.21/1.62 'c_emptyset', 'c_inter'( Y, T, Z ) ) ],
% 1.21/1.62 [ ~( =( 'c_emptyset', 'c_inter'( X, Y, Z ) ) ), 'c_in'( T, Y, Z ), =(
% 1.21/1.62 'c_emptyset', 'c_inter'( 'c_insert'( T, X, Z ), Y, Z ) ) ],
% 1.21/1.62 [ ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ), =( X, Y
% 1.21/1.62 ) ],
% 1.21/1.62 [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ],
% 1.21/1.62 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_insert'( T, Y, Z ), Z ) ],
% 1.21/1.62 [ =( 'c_inter'( 'c_insert'( X, Y, Z ), 'c_insert'( X, T, Z ), Z ),
% 1.21/1.62 'c_insert'( X, 'c_inter'( Y, T, Z ), Z ) ) ],
% 1.21/1.62 [ ~( =( 'c_insert'( X, Y, Z ), 'c_emptyset' ) ) ],
% 1.21/1.62 [ ~( 'c_lessequals'( 'c_insert'( X, Y, Z ), T, 'tc_set'( Z ) ) ), 'c_in'(
% 1.21/1.62 X, T, Z ) ],
% 1.21/1.62 [ ~( 'c_lessequals'( 'c_insert'( X, Y, Z ), T, 'tc_set'( Z ) ) ),
% 1.21/1.62 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ],
% 1.21/1.62 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( T, Y, 'tc_set'( Z ) ) ),
% 1.21/1.62 'c_lessequals'( 'c_insert'( X, T, Z ), Y, 'tc_set'( Z ) ) ],
% 1.21/1.62 [ ~( 'c_less'( X, 'c_emptyset', 'tc_set'( Y ) ) ) ],
% 1.21/1.62 [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, T, Y ) ) ), =(
% 1.21/1.62 Z, X ) ],
% 1.21/1.62 [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, T, Y ) ) ),
% 1.21/1.62 'c_lessequals'( T, 'c_insert'( X, 'c_emptyset', Y ), 'tc_set'( Y ) ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'c_lessequals'( X, 'c_insert'( Y, 'c_emptyset', Z ), 'tc_set'( Z )
% 1.21/1.62 ) ), =( 'c_insert'( Y, 'c_emptyset', Z ), 'c_insert'( Y, X, Z ) ) ],
% 1.21/1.62 [ ~( =( 'c_insert'( X, Y, Z ), 'c_insert'( T, 'c_emptyset', Z ) ) ), =(
% 1.21/1.62 X, T ) ],
% 1.21/1.62 [ ~( =( 'c_insert'( X, Y, Z ), 'c_insert'( T, 'c_emptyset', Z ) ) ),
% 1.21/1.62 'c_lessequals'( Y, 'c_insert'( T, 'c_emptyset', Z ), 'tc_set'( Z ) ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'c_lessequals'( X, 'c_insert'( Y, 'c_emptyset', Z ), 'tc_set'( Z )
% 1.21/1.62 ) ), =( 'c_insert'( Y, X, Z ), 'c_insert'( Y, 'c_emptyset', Z ) ) ],
% 1.21/1.62 [ 'c_lessequals'( X, 'c_UNIV', 'tc_set'( Y ) ) ],
% 1.21/1.62 [ ~( 'c_lessequals'( X, 'c_emptyset', 'tc_set'( Y ) ) ), =( X,
% 1.21/1.62 'c_emptyset' ) ],
% 1.21/1.62 [ 'c_lessequals'( 'c_emptyset', 'c_emptyset', 'tc_set'( X ) ) ],
% 1.21/1.62 [ ~( =( 'c_Sum__Type_OInl'( X, Y, Z ), 'c_Sum__Type_OInl'( T, Y, Z ) ) )
% 1.21/1.62 , =( X, T ) ],
% 1.21/1.62 [ ~( =( 'c_Sum__Type_OInl'( X, Y, Z ), 'c_Sum__Type_OInr'( T, Z, Y ) ) )
% 1.21/1.62 ],
% 1.21/1.62 [ ~( =( 'c_Sum__Type_OInr'( X, Y, Z ), 'c_Sum__Type_OInr'( T, Y, Z ) ) )
% 1.21/1.62 , =( X, T ) ],
% 1.21/1.62 [ ~( =( 'c_Sum__Type_OInr'( X, Y, Z ), 'c_Sum__Type_OInl'( T, Z, Y ) ) )
% 1.21/1.62 ],
% 1.21/1.62 [ =( 'c_Sum__Type_OPlus'( 'c_UNIV', 'c_UNIV', X, Y ), 'c_UNIV' ) ],
% 1.21/1.62 [ =( 'c_Relation_ODomain'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y,
% 1.21/1.62 Y ), 'c_UNIV' ) ],
% 1.21/1.62 [ =( 'c_Relation_ORange'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y
% 1.21/1.62 ), 'c_UNIV' ) ],
% 1.21/1.62 [ =( 'c_union'( 'c_Transitive__Closure_Otrancl'( X, Y ),
% 1.21/1.62 'c_Relation_OId', 'tc_prod'( Y, Y ) ), 'c_Transitive__Closure_Ortrancl'(
% 1.21/1.62 X, Y ) ) ],
% 1.21/1.62 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_emptyset', X ),
% 1.21/1.62 'c_Relation_OId' ) ],
% 1.21/1.62 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Transitive__Closure_Ortrancl'(
% 1.21/1.62 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 1.21/1.62 [ =( 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 1.21/1.62 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ),
% 1.21/1.62 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 1.21/1.62 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_union'( X, 'c_Relation_OId',
% 1.21/1.62 'tc_prod'( Y, Y ) ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ =( 'c_Relation_ODomain'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 1.21/1.62 ), 'c_Relation_ODomain'( X, Y, Y ) ) ],
% 1.21/1.62 [ =( 'c_Transitive__Closure_Otrancl'( 'c_emptyset', X ), 'c_emptyset' )
% 1.21/1.62 ],
% 1.21/1.62 [ =( 'c_Relation_ORange'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 1.21/1.62 ), 'c_Relation_ORange'( X, Y, Y ) ) ],
% 1.21/1.62 [ =( 'c_Transitive__Closure_Otrancl'( 'c_union'( X, 'c_Relation_OId',
% 1.21/1.62 'tc_prod'( Y, Y ) ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_Relation_Oconverse'( X, Y,
% 1.21/1.62 Y ), Y ) ), 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ],
% 1.21/1.62 [ ~( 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ),
% 1.21/1.62 'c_Wellfounded__Recursion_Oacyclic'( 'c_Relation_Oconverse'( X, Y, Y ), Y
% 1.21/1.62 ) ],
% 1.21/1.62 [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( X, Y, Z
% 1.21/1.62 , Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), 'c_Wellfounded__Recursion_Oacyclic'(
% 1.21/1.62 T, Z ) ],
% 1.21/1.62 [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( X, Y, Z
% 1.21/1.62 , Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 1.21/1.62 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 1.21/1.62 [ ~( 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ),
% 1.21/1.62 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( Z, T, Y, Y ),
% 1.21/1.62 X, 'tc_prod'( Y, Y ) ), Y ), 'c_in'( 'c_Pair'( T, Z, Y, Y ),
% 1.21/1.62 'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ],
% 1.21/1.62 [ ~( 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( X, Y, Z, Z )
% 1.21/1.62 , T, 'tc_prod'( Z, Z ) ), Z ) ), 'c_Wellfounded__Recursion_Owf'( T, Z ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( X, Y, Z, Z )
% 1.21/1.62 , T, 'tc_prod'( Z, Z ) ), Z ) ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 1.21/1.62 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 1.21/1.62 [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ),
% 1.21/1.62 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( Z, T, Y, Y ), X,
% 1.21/1.62 'tc_prod'( Y, Y ) ), Y ), 'c_in'( 'c_Pair'( T, Z, Y, Y ),
% 1.21/1.62 'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ],
% 1.21/1.62 [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), ~( 'c_in'( 'c_Pair'( Z, Z
% 1.21/1.62 , Y, Y ), X, 'tc_prod'( Y, Y ) ) ) ],
% 1.21/1.62 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ),
% 1.21/1.62 'c_Wellfounded__Relations_Oless__than', 'tc_prod'( 'tc_nat', 'tc_nat' ) )
% 1.21/1.62 ), 'c_less'( X, Y, 'tc_nat' ) ],
% 1.21/1.62 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_in'( 'c_Pair'( X, Y, 'tc_nat',
% 1.21/1.62 'tc_nat' ), 'c_Wellfounded__Relations_Oless__than', 'tc_prod'( 'tc_nat',
% 1.21/1.62 'tc_nat' ) ) ],
% 1.21/1.62 [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'( Z ),
% 1.21/1.63 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oparts'( Z ),
% 1.21/1.63 'tc_Message_Omsg' ) ],
% 1.21/1.63 [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'( Z ),
% 1.21/1.63 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oparts'( Z ),
% 1.21/1.63 'tc_Message_Omsg' ) ],
% 1.21/1.63 [ ~( =( 'c_Message_Oagent_OServer', 'c_Message_Oagent_OFriend'( X ) ) )
% 1.21/1.63 ],
% 1.21/1.63 [ ~( =( 'c_Message_Oagent_OFriend'( X ), 'c_Message_Oagent_OServer' ) )
% 1.21/1.63 ],
% 1.21/1.63 [ ~( =( 'c_Message_Oagent_OServer', 'c_Message_Oagent_OSpy' ) ) ],
% 1.21/1.63 [ ~( =( 'c_Message_Oagent_OSpy', 'c_Message_Oagent_OServer' ) ) ],
% 1.21/1.63 [ ~( =( 'c_Message_Oagent_OFriend'( X ), 'c_Message_Oagent_OSpy' ) ) ]
% 1.21/1.63 ,
% 1.21/1.63 [ ~( =( 'c_Message_Oagent_OSpy', 'c_Message_Oagent_OFriend'( X ) ) ) ]
% 1.21/1.63 ,
% 1.21/1.63 [ ~( =( 'c_Message_Oagent_OFriend'( X ), 'c_Message_Oagent_OFriend'( Y )
% 1.21/1.63 ) ), =( X, Y ) ],
% 1.21/1.63 [ =( 'c_Nat_Osize'( 'c_Message_Oagent_OServer', 'tc_Message_Oagent' ),
% 1.21/1.63 'c_0' ) ],
% 1.21/1.63 [ =( 'c_Nat_Osize'( 'c_Message_Oagent_OFriend'( X ), 'tc_Message_Oagent'
% 1.21/1.63 ), 'c_0' ) ],
% 1.21/1.63 [ =( 'c_Nat_Osize'( 'c_Message_Oagent_OSpy', 'tc_Message_Oagent' ),
% 1.21/1.63 'c_0' ) ],
% 1.21/1.63 [ =( 'c_Message_OinvKey'( 'c_Message_OinvKey'( X ) ), X ) ],
% 1.21/1.63 [ ~( =( 'c_Message_OinvKey'( X ), 'c_Message_OinvKey'( Y ) ) ), =( X, Y
% 1.21/1.63 ) ],
% 1.21/1.63 [ =( 'c_Message_OkeysFor'( 'c_union'( X, Y, 'tc_Message_Omsg' ) ),
% 1.21/1.63 'c_union'( 'c_Message_OkeysFor'( X ), 'c_Message_OkeysFor'( Y ), 'tc_nat'
% 1.21/1.63 ) ) ],
% 1.21/1.63 [ =( 'c_Message_OkeysFor'( 'c_emptyset' ), 'c_emptyset' ) ],
% 1.21/1.63 [ =( 'c_Message_OkeysFor'( 'c_insert'( 'c_Message_Omsg_OAgent'( X ), Y,
% 1.21/1.63 'tc_Message_Omsg' ) ), 'c_Message_OkeysFor'( Y ) ) ],
% 1.21/1.63 [ =( 'c_Message_OkeysFor'( 'c_insert'( 'c_Message_Omsg_OCrypt'( X, Y ),
% 1.21/1.63 Z, 'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_OinvKey'( X ),
% 1.21/1.63 'c_Message_OkeysFor'( Z ), 'tc_nat' ) ) ],
% 1.21/1.63 [ =( 'c_Message_OkeysFor'( 'c_insert'( 'c_Message_Omsg_OHash'( X ), Y,
% 1.21/1.63 'tc_Message_Omsg' ) ), 'c_Message_OkeysFor'( Y ) ) ],
% 1.21/1.63 [ =( 'c_Message_OkeysFor'( 'c_insert'( 'c_Message_Omsg_OKey'( X ), Y,
% 1.21/1.63 'tc_Message_Omsg' ) ), 'c_Message_OkeysFor'( Y ) ) ],
% 1.21/1.63 [ =( 'c_Message_OkeysFor'( 'c_insert'( 'c_Message_Omsg_OMPair'( X, Y ),
% 1.21/1.63 Z, 'tc_Message_Omsg' ) ), 'c_Message_OkeysFor'( Z ) ) ],
% 1.21/1.63 [ =( 'c_Message_OkeysFor'( 'c_insert'( 'c_Message_Omsg_ONonce'( X ), Y,
% 1.21/1.63 'tc_Message_Omsg' ) ), 'c_Message_OkeysFor'( Y ) ) ],
% 1.21/1.63 [ =( 'c_Message_OkeysFor'( 'c_insert'( 'c_Message_Omsg_ONumber'( X ), Y
% 1.21/1.63 , 'tc_Message_Omsg' ) ), 'c_Message_OkeysFor'( Y ) ) ],
% 1.21/1.63 [ ~( =( 'c_Message_Omsg_OAgent'( X ), 'c_Message_Omsg_OAgent'( Y ) ) ),
% 1.21/1.63 =( X, Y ) ],
% 1.21/1.63 [ ~( =( 'c_Message_Omsg_ONumber'( X ), 'c_Message_Omsg_ONumber'( Y ) ) )
% 1.21/1.63 , =( X, Y ) ],
% 1.21/1.63 [ ~( =( 'c_Message_Omsg_ONonce'( X ), 'c_Message_Omsg_ONonce'( Y ) ) ),
% 1.21/1.63 =( X, Y ) ],
% 1.21/1.63 [ ~( =( 'c_Message_Omsg_OKey'( X ), 'c_Message_Omsg_OKey'( Y ) ) ), =( X
% 1.21/1.63 , Y ) ],
% 1.21/1.63 [ ~( =( 'c_Message_Omsg_OHash'( X ), 'c_Message_Omsg_OHash'( Y ) ) ),
% 1.21/1.63 =( X, Y ) ],
% 1.21/1.63 [ ~( =( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Omsg_OMPair'( Z, T )
% 1.21/1.63 ) ), =( X, Z ) ],
% 1.21/1.63 [ ~( =( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Omsg_OMPair'( Z, T )
% 1.21/1.63 ) ), =( Y, T ) ],
% 1.21/1.63 [ ~( =( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Omsg_OCrypt'( Z, T )
% 1.21/1.63 ) ), =( X, Z ) ],
% 1.21/1.63 [ ~( =( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Omsg_OCrypt'( Z, T )
% 1.21/1.63 ) ), =( Y, T ) ],
% 1.21/1.63 [ =( 'c_Nat_Osize'( 'c_Message_Omsg_OAgent'( X ), 'tc_Message_Omsg' ),
% 1.21/1.63 'c_0' ) ],
% 1.21/1.63 [ =( 'c_Nat_Osize'( 'c_Message_Omsg_ONumber'( X ), 'tc_Message_Omsg' ),
% 1.21/1.63 'c_0' ) ],
% 1.21/1.63 [ =( 'c_Nat_Osize'( 'c_Message_Omsg_ONonce'( X ), 'tc_Message_Omsg' ),
% 1.21/1.63 'c_0' ) ],
% 1.21/1.63 [ =( 'c_Nat_Osize'( 'c_Message_Omsg_OKey'( X ), 'tc_Message_Omsg' ),
% 1.21/1.63 'c_0' ) ],
% 1.21/1.63 [ =( 'c_Nat_Osize'( 'c_Message_Omsg_OHash'( X ), 'tc_Message_Omsg' ),
% 1.21/1.63 'c_plus'( 'c_Nat_Osize'( X, 'tc_Message_Omsg' ), 'c_Suc'( 'c_0' ),
% 1.21/1.63 'tc_nat' ) ) ],
% 1.21/1.63 [ =( 'c_Nat_Osize'( 'c_Message_Omsg_OMPair'( X, Y ), 'tc_Message_Omsg' )
% 1.21/1.63 , 'c_plus'( 'c_plus'( 'c_Nat_Osize'( X, 'tc_Message_Omsg' ),
% 1.21/1.63 'c_Nat_Osize'( Y, 'tc_Message_Omsg' ), 'tc_nat' ), 'c_Suc'( 'c_0' ),
% 1.21/1.63 'tc_nat' ) ) ],
% 1.21/1.63 [ =( 'c_Nat_Osize'( 'c_Message_Omsg_OCrypt'( X, Y ), 'tc_Message_Omsg' )
% 1.21/1.63 , 'c_plus'( 'c_Nat_Osize'( Y, 'tc_Message_Omsg' ), 'c_Suc'( 'c_0' ),
% 1.21/1.63 'tc_nat' ) ) ],
% 1.21/1.63 [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oparts'(
% 1.21/1.63 Y ), 'tc_Message_Omsg' ) ],
% 1.21/1.63 [ =( 'c_Message_Oparts'( 'c_union'( X, Y, 'tc_Message_Omsg' ) ),
% 1.21/1.63 'c_union'( 'c_Message_Oparts'( X ), 'c_Message_Oparts'( Y ),
% 1.21/1.63 'tc_Message_Omsg' ) ) ],
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_emptyset' ), 'tc_Message_Omsg' )
% 1.21/1.63 ) ],
% 1.21/1.63 [ =( 'c_Message_Oparts'( 'c_emptyset' ), 'c_emptyset' ) ],
% 1.21/1.63 [ =( 'c_union'( X, 'c_union'( Y, X, Z ), Z ), 'c_union'( Y, X, Z ) ) ]
% 1.21/1.63 ,
% 1.21/1.63 [ ~( 'c_in'( 'c_Message_Oagent_OServer', 'c_Event_Obad',
% 1.21/1.63 'tc_Message_Oagent' ) ) ],
% 1.21/1.63 [ 'c_in'( 'c_Message_Oagent_OSpy', 'c_Event_Obad', 'tc_Message_Oagent' )
% 1.21/1.63 ],
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_Event_Oknows'(
% 1.21/1.63 'c_Message_Oagent_OSpy', Y ) ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 1.21/1.63 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ],
% 1.21/1.63 [ ~( =( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_Event_Oevent_OGets'( T, U
% 1.21/1.63 ) ) ) ],
% 1.21/1.63 [ ~( =( 'c_Event_Oevent_OGets'( X, Y ), 'c_Event_Oevent_OSays'( Z, T, U
% 1.21/1.63 ) ) ) ],
% 1.21/1.63 [ ~( =( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_Event_Oevent_ONotes'( T, U
% 1.21/1.63 ) ) ) ],
% 1.21/1.63 [ ~( =( 'c_Event_Oevent_ONotes'( X, Y ), 'c_Event_Oevent_OSays'( Z, T, U
% 1.21/1.63 ) ) ) ],
% 1.21/1.63 [ ~( =( 'c_Event_Oevent_OGets'( X, Y ), 'c_Event_Oevent_ONotes'( Z, T )
% 1.21/1.63 ) ) ],
% 1.21/1.63 [ ~( =( 'c_Event_Oevent_ONotes'( X, Y ), 'c_Event_Oevent_OGets'( Z, T )
% 1.21/1.63 ) ) ],
% 1.21/1.63 [ ~( =( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_Event_Oevent_OSays'( T, U
% 1.21/1.63 , W ) ) ), =( X, T ) ],
% 1.21/1.63 [ ~( =( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_Event_Oevent_OSays'( T, U
% 1.21/1.63 , W ) ) ), =( Y, U ) ],
% 1.21/1.63 [ ~( =( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_Event_Oevent_OSays'( T, U
% 1.21/1.63 , W ) ) ), =( Z, W ) ],
% 1.21/1.63 [ ~( =( 'c_Event_Oevent_OGets'( X, Y ), 'c_Event_Oevent_OGets'( Z, T ) )
% 1.21/1.63 ), =( X, Z ) ],
% 1.21/1.63 [ ~( =( 'c_Event_Oevent_OGets'( X, Y ), 'c_Event_Oevent_OGets'( Z, T ) )
% 1.21/1.63 ), =( Y, T ) ],
% 1.21/1.63 [ ~( =( 'c_Event_Oevent_ONotes'( X, Y ), 'c_Event_Oevent_ONotes'( Z, T )
% 1.21/1.63 ) ), =( X, Z ) ],
% 1.21/1.63 [ ~( =( 'c_Event_Oevent_ONotes'( X, Y ), 'c_Event_Oevent_ONotes'( Z, T )
% 1.21/1.63 ) ), =( Y, T ) ],
% 1.21/1.63 [ =( 'c_Nat_Osize'( 'c_Event_Oevent_OSays'( X, Y, Z ), 'tc_Event_Oevent'
% 1.21/1.63 ), 'c_0' ) ],
% 1.21/1.63 [ =( 'c_Nat_Osize'( 'c_Event_Oevent_OGets'( X, Y ), 'tc_Event_Oevent' )
% 1.21/1.63 , 'c_0' ) ],
% 1.21/1.63 [ =( 'c_Nat_Osize'( 'c_Event_Oevent_ONotes'( X, Y ), 'tc_Event_Oevent' )
% 1.21/1.63 , 'c_0' ) ],
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Message_OkeysFor'( 'c_Message_Osynth'( Y ) ),
% 1.21/1.63 'tc_nat' ) ), 'c_in'( X, 'c_Message_OkeysFor'( Y ), 'tc_nat' ), 'c_in'(
% 1.21/1.63 'c_Message_Omsg_OKey'( 'v_sko__uhi'( Y, X ) ), Y, 'tc_Message_Omsg' ) ]
% 1.21/1.63 ,
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Message_OkeysFor'( 'c_Message_Osynth'( Y ) ),
% 1.21/1.63 'tc_nat' ) ), 'c_in'( X, 'c_Message_OkeysFor'( Y ), 'tc_nat' ), =( X,
% 1.21/1.63 'c_Message_OinvKey'( 'v_sko__uhi'( Y, X ) ) ) ],
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Message_OkeysFor'( Y ), 'tc_nat' ) ), 'c_in'( X,
% 1.21/1.63 'c_Message_OkeysFor'( 'c_Message_Osynth'( Y ) ), 'tc_nat' ) ],
% 1.21/1.63 [ ~( 'c_in'( 'c_Message_Omsg_OKey'( X ), Y, 'tc_Message_Omsg' ) ),
% 1.21/1.63 'c_in'( 'c_Message_OinvKey'( X ), 'c_Message_OkeysFor'(
% 1.21/1.63 'c_Message_Osynth'( Y ) ), 'tc_nat' ) ],
% 1.21/1.63 [ =( 'c_Event_Oknows'( X, 'c_List_Olist_ONil' ), 'c_Event_OinitState'( X
% 1.21/1.63 ) ) ],
% 1.21/1.63 [ =( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'c_List_Olist_OCons'(
% 1.21/1.63 'c_Event_Oevent_OGets'( X, Y ), Z, 'tc_Event_Oevent' ) ),
% 1.21/1.63 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Z ) ) ],
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Event_Obad', 'tc_Message_Oagent' ) ), =(
% 1.21/1.63 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'c_List_Olist_OCons'(
% 1.21/1.63 'c_Event_Oevent_ONotes'( X, Y ), Z, 'tc_Event_Oevent' ) ), 'c_insert'( Y
% 1.21/1.63 , 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Z ), 'tc_Message_Omsg' ) ) ]
% 1.21/1.63 ,
% 1.21/1.63 [ 'c_in'( X, 'c_Event_Obad', 'tc_Message_Oagent' ), =( 'c_Event_Oknows'(
% 1.21/1.63 'c_Message_Oagent_OSpy', 'c_List_Olist_OCons'( 'c_Event_Oevent_ONotes'( X
% 1.21/1.63 , Y ), Z, 'tc_Event_Oevent' ) ), 'c_Event_Oknows'(
% 1.21/1.63 'c_Message_Oagent_OSpy', Z ) ) ],
% 1.21/1.63 [ =( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'c_List_Olist_OCons'(
% 1.21/1.63 'c_Event_Oevent_OSays'( X, Y, Z ), T, 'tc_Event_Oevent' ) ), 'c_insert'(
% 1.21/1.63 Z, 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', T ), 'tc_Message_Omsg' ) )
% 1.21/1.63 ],
% 1.21/1.63 [ =( 'c_Event_Oused'( 'c_List_Olist_OCons'( 'c_Event_Oevent_OGets'( X, Y
% 1.21/1.63 ), Z, 'tc_Event_Oevent' ) ), 'c_Event_Oused'( Z ) ) ],
% 1.21/1.63 [ =( 'c_Event_Oused'( 'c_List_Olist_OCons'( 'c_Event_Oevent_ONotes'( X,
% 1.21/1.63 Y ), Z, 'tc_Event_Oevent' ) ), 'c_union'( 'c_Message_Oparts'( 'c_insert'(
% 1.21/1.63 Y, 'c_emptyset', 'tc_Message_Omsg' ) ), 'c_Event_Oused'( Z ),
% 1.21/1.63 'tc_Message_Omsg' ) ) ],
% 1.21/1.63 [ =( 'c_Event_Oused'( 'c_List_Olist_OCons'( 'c_Event_Oevent_OSays'( X, Y
% 1.21/1.63 , Z ), T, 'tc_Event_Oevent' ) ), 'c_union'( 'c_Message_Oparts'(
% 1.21/1.63 'c_insert'( Z, 'c_emptyset', 'tc_Message_Omsg' ) ), 'c_Event_Oused'( T )
% 1.21/1.63 , 'tc_Message_Omsg' ) ) ],
% 1.21/1.63 [ 'c_in'( 'c_Message_Omsg_OAgent'( X ), 'c_Message_Osynth'( Y ),
% 1.21/1.63 'tc_Message_Omsg' ) ],
% 1.21/1.63 [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Osynth'( Z ),
% 1.21/1.63 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Osynth'( Z ),
% 1.21/1.63 'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), Z,
% 1.21/1.63 'tc_Message_Omsg' ) ],
% 1.21/1.63 [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Osynth'( Z ),
% 1.21/1.63 'tc_Message_Omsg' ) ), 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), Z,
% 1.21/1.63 'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OKey'( X ), Z,
% 1.21/1.63 'tc_Message_Omsg' ) ],
% 1.21/1.63 [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), Z, 'tc_Message_Omsg' ) ),
% 1.21/1.63 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Osynth'( Z ),
% 1.21/1.63 'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OKey'( X ), Z,
% 1.21/1.63 'tc_Message_Omsg' ) ],
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Message_Osynth'( 'c_Message_Oanalz'( Y ) ),
% 1.21/1.63 'tc_Message_Omsg' ) ), =( 'c_Message_Osynth'( 'c_Message_Oanalz'(
% 1.21/1.63 'c_insert'( X, Y, 'tc_Message_Omsg' ) ) ), 'c_Message_Osynth'(
% 1.21/1.63 'c_Message_Oanalz'( Y ) ) ) ],
% 1.21/1.63 [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_OHPair'( Z, T ) ) ), =( X
% 1.21/1.63 , Z ) ],
% 1.21/1.63 [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_OHPair'( Z, T ) ) ), =( Y
% 1.21/1.63 , T ) ],
% 1.21/1.63 [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_OMPair'( Z, T ) ) )
% 1.21/1.63 , =( Z, 'c_Message_Omsg_OHash'( 'c_Message_Omsg_OMPair'( X, Y ) ) ) ]
% 1.21/1.63 ,
% 1.21/1.63 [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_OMPair'( Z, T ) ) )
% 1.21/1.63 , =( T, Y ) ],
% 1.21/1.63 [ =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_OMPair'(
% 1.21/1.63 'c_Message_Omsg_OHash'( 'c_Message_Omsg_OMPair'( X, Y ) ), Y ) ) ],
% 1.21/1.63 [ ~( =( 'c_Message_Omsg_OAgent'( X ), 'c_Message_OHPair'( Y, Z ) ) ) ]
% 1.21/1.63 ,
% 1.21/1.63 [ ~( =( 'c_Message_Omsg_ONonce'( X ), 'c_Message_OHPair'( Y, Z ) ) ) ]
% 1.21/1.63 ,
% 1.21/1.63 [ ~( =( 'c_Message_Omsg_ONumber'( X ), 'c_Message_OHPair'( Y, Z ) ) ) ]
% 1.21/1.63 ,
% 1.21/1.63 [ ~( =( 'c_Message_Omsg_OKey'( X ), 'c_Message_OHPair'( Y, Z ) ) ) ]
% 1.21/1.63 ,
% 1.21/1.63 [ ~( =( 'c_Message_Omsg_OHash'( X ), 'c_Message_OHPair'( Y, Z ) ) ) ]
% 1.21/1.63 ,
% 1.21/1.63 [ ~( =( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_OHPair'( Z, T ) ) )
% 1.21/1.63 ],
% 1.21/1.63 [ ~( 'c_in'( 'c_Message_OHPair'( X, Y ), 'c_Message_Osynth'(
% 1.21/1.63 'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 1.21/1.63 'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ),
% 1.21/1.63 'c_in'( 'c_Message_Omsg_OHash'( 'c_Message_Omsg_OMPair'( X, Y ) ),
% 1.21/1.63 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ],
% 1.21/1.63 [ ~( 'c_in'( 'c_Message_OHPair'( X, Y ), 'c_Message_Osynth'(
% 1.21/1.63 'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 1.21/1.63 'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ),
% 1.21/1.63 'c_in'( X, 'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ),
% 1.21/1.63 'tc_Message_Omsg' ) ],
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Message_Osynth'( 'c_Message_Oanalz'( Y ) ),
% 1.21/1.63 'tc_Message_Omsg' ) ), ~( 'c_in'( 'c_Message_Omsg_OHash'(
% 1.21/1.63 'c_Message_Omsg_OMPair'( Z, X ) ), 'c_Message_Oanalz'( Y ),
% 1.21/1.63 'tc_Message_Omsg' ) ), 'c_in'( Z, 'c_Message_Osynth'( 'c_Message_Oanalz'(
% 1.21/1.63 Y ) ), 'tc_Message_Omsg' ), 'c_in'( 'c_Message_OHPair'( Z, X ),
% 1.21/1.63 'c_Message_Osynth'( 'c_Message_Oanalz'( Y ) ), 'tc_Message_Omsg' ) ],
% 1.21/1.63 [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_OAgent'( Z ) ) ) ]
% 1.21/1.63 ,
% 1.21/1.63 [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_OCrypt'( Z, T ) ) )
% 1.21/1.63 ],
% 1.21/1.63 [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_OHash'( Z ) ) ) ]
% 1.21/1.63 ,
% 1.21/1.63 [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_OKey'( Z ) ) ) ]
% 1.21/1.63 ,
% 1.21/1.63 [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_ONonce'( Z ) ) ) ]
% 1.21/1.63 ,
% 1.21/1.63 [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_ONumber'( Z ) ) ) ]
% 1.21/1.63 ,
% 1.21/1.63 [ ~( 'c_in'( 'c_Message_Omsg_OHash'( X ), 'c_Message_Osynth'( Y ),
% 1.21/1.63 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Osynth'( Y ),
% 1.21/1.63 'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OHash'( X ), Y,
% 1.21/1.63 'tc_Message_Omsg' ) ],
% 1.21/1.63 [ ~( 'c_in'( 'c_Message_Omsg_OHash'( 'c_Message_Omsg_OMPair'( X, Y ) ),
% 1.21/1.63 'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ) ),
% 1.21/1.63 'c_in'( X, 'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ),
% 1.21/1.63 'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OHash'(
% 1.21/1.63 'c_Message_Omsg_OMPair'( X, Y ) ), 'c_Message_Oanalz'( Z ),
% 1.21/1.63 'tc_Message_Omsg' ) ],
% 1.21/1.63 [ ~( 'c_in'( 'c_Message_Omsg_OHash'( 'c_Message_Omsg_OMPair'( X, Y ) ),
% 1.21/1.63 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 1.21/1.63 'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ),
% 1.21/1.63 'c_in'( 'c_Message_Omsg_OHash'( 'c_Message_Omsg_OMPair'( X, Y ) ),
% 1.21/1.63 'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ) ],
% 1.21/1.63 [ ~( 'c_in'( 'c_Message_Omsg_OKey'( X ), 'c_Message_Osynth'( Y ),
% 1.21/1.63 'tc_Message_Omsg' ) ), 'c_in'( 'c_Message_Omsg_OKey'( X ), Y,
% 1.21/1.63 'tc_Message_Omsg' ) ],
% 1.21/1.63 [ ~( 'c_in'( 'c_Message_Omsg_OKey'( X ), Y, 'tc_Message_Omsg' ) ),
% 1.21/1.63 'c_in'( 'c_Message_Omsg_OKey'( X ), 'c_Message_Osynth'( Y ),
% 1.21/1.63 'tc_Message_Omsg' ) ],
% 1.21/1.63 [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oanalz'( Z ),
% 1.21/1.63 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oanalz'( Z ),
% 1.21/1.63 'tc_Message_Omsg' ) ],
% 1.21/1.63 [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oanalz'( Z ),
% 1.21/1.63 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oanalz'( Z ),
% 1.21/1.63 'tc_Message_Omsg' ) ],
% 1.21/1.63 [ ~( =( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_OHPair'( Z, T ) ) )
% 1.21/1.63 , =( X, 'c_Message_Omsg_OHash'( 'c_Message_Omsg_OMPair'( Z, T ) ) ) ]
% 1.21/1.63 ,
% 1.21/1.63 [ ~( =( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_OHPair'( Z, T ) ) )
% 1.21/1.63 , =( Y, T ) ],
% 1.21/1.63 [ =( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OHash'(
% 1.21/1.63 'c_Message_Omsg_OMPair'( X, Y ) ), Y ), 'c_Message_OHPair'( X, Y ) ) ]
% 1.21/1.63 ,
% 1.21/1.63 [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Osynth'( Z ),
% 1.21/1.63 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Osynth'( Z ),
% 1.21/1.63 'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), Z,
% 1.21/1.63 'tc_Message_Omsg' ) ],
% 1.21/1.63 [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Osynth'( Z ),
% 1.21/1.63 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Osynth'( Z ),
% 1.21/1.63 'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), Z,
% 1.21/1.63 'tc_Message_Omsg' ) ],
% 1.21/1.63 [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Osynth'(
% 1.21/1.63 'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 1.21/1.63 'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ) ],
% 1.21/1.63 [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Osynth'(
% 1.21/1.63 'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 1.21/1.63 'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ) ],
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Message_Osynth'( 'c_Message_Oanalz'( Y ) ),
% 1.21/1.63 'tc_Message_Omsg' ) ), ~( 'c_in'( Z, 'c_Message_Osynth'(
% 1.21/1.63 'c_Message_Oanalz'( Y ) ), 'tc_Message_Omsg' ) ), 'c_in'(
% 1.21/1.63 'c_Message_Omsg_OMPair'( Z, X ), 'c_Message_Osynth'( 'c_Message_Oanalz'(
% 1.21/1.63 Y ) ), 'tc_Message_Omsg' ) ],
% 1.21/1.63 [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( X ), 'c_Message_Osynth'( Y ),
% 1.21/1.63 'tc_Message_Omsg' ) ), 'c_in'( 'c_Message_Omsg_ONonce'( X ), Y,
% 1.21/1.63 'tc_Message_Omsg' ) ],
% 1.21/1.63 [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( X ), Y, 'tc_Message_Omsg' ) ),
% 1.21/1.63 'c_in'( 'c_Message_Omsg_ONonce'( X ), 'c_Message_Osynth'( Y ),
% 1.21/1.63 'tc_Message_Omsg' ) ],
% 1.21/1.63 [ 'c_in'( 'c_Message_Omsg_ONumber'( X ), 'c_Message_Osynth'( Y ),
% 1.21/1.63 'tc_Message_Omsg' ) ],
% 1.21/1.63 [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Oanalz'( Z ),
% 1.21/1.63 'tc_Message_Omsg' ) ), ~( 'c_in'( 'c_Message_Omsg_OKey'(
% 1.21/1.63 'c_Message_OinvKey'( X ) ), 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' )
% 1.21/1.63 ), 'c_in'( Y, 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ],
% 1.21/1.63 [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oanalz'(
% 1.21/1.63 Y ), 'tc_Message_Omsg' ) ],
% 1.21/1.63 [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( X ) ),
% 1.21/1.63 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ), =( 'c_Message_Oanalz'(
% 1.21/1.63 'c_insert'( 'c_Message_Omsg_OCrypt'( X, Z ), Y, 'tc_Message_Omsg' ) ),
% 1.21/1.63 'c_insert'( 'c_Message_Omsg_OCrypt'( X, Z ), 'c_Message_Oanalz'(
% 1.21/1.63 'c_insert'( Z, Y, 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ) ],
% 1.21/1.63 [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( X ) ),
% 1.21/1.63 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ), =( 'c_Message_Oanalz'(
% 1.21/1.63 'c_insert'( 'c_Message_Omsg_OCrypt'( X, Z ), Y, 'tc_Message_Omsg' ) ),
% 1.21/1.63 'c_insert'( 'c_Message_Omsg_OCrypt'( X, Z ), 'c_Message_Oanalz'( Y ),
% 1.21/1.63 'tc_Message_Omsg' ) ) ],
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Message_Oanalz'( 'c_Message_Oanalz'( Y ) ),
% 1.21/1.63 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oanalz'( Y ),
% 1.21/1.63 'tc_Message_Omsg' ) ],
% 1.21/1.63 [ =( 'c_Message_Oanalz'( 'c_union'( 'c_Message_Oanalz'( X ), Y,
% 1.21/1.63 'tc_Message_Omsg' ) ), 'c_Message_Oanalz'( 'c_union'( X, Y,
% 1.21/1.63 'tc_Message_Omsg' ) ) ) ],
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ), 'c_in'(
% 1.21/1.63 X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ],
% 1.21/1.63 [ =( 'c_Message_Oanalz'( 'c_emptyset' ), 'c_emptyset' ) ],
% 1.21/1.63 [ =( 'c_Message_Oanalz'( 'c_Message_Oanalz'( X ) ), 'c_Message_Oanalz'(
% 1.21/1.63 X ) ) ],
% 1.21/1.63 [ =( 'c_Message_Oanalz'( 'c_insert'( 'c_Message_Omsg_OAgent'( X ), Y,
% 1.21/1.63 'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_OAgent'( X ),
% 1.21/1.63 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ) ],
% 1.21/1.63 [ =( 'c_Message_Oanalz'( 'c_insert'( 'c_Message_OHPair'( X, Y ), Z,
% 1.21/1.63 'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_OHPair'( X, Y ), 'c_insert'(
% 1.21/1.63 'c_Message_Omsg_OHash'( 'c_Message_Omsg_OMPair'( X, Y ) ),
% 1.21/1.63 'c_Message_Oanalz'( 'c_insert'( Y, Z, 'tc_Message_Omsg' ) ),
% 1.21/1.63 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ],
% 1.21/1.63 [ =( 'c_Message_Oanalz'( 'c_insert'( 'c_Message_Omsg_OHash'( X ), Y,
% 1.21/1.63 'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_OHash'( X ),
% 1.21/1.63 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ) ],
% 1.21/1.63 [ 'c_in'( X, 'c_Message_OkeysFor'( 'c_Message_Oanalz'( Y ) ), 'tc_nat' )
% 1.21/1.63 , =( 'c_Message_Oanalz'( 'c_insert'( 'c_Message_Omsg_OKey'( X ), Y,
% 1.21/1.63 'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_OKey'( X ),
% 1.21/1.63 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ) ],
% 1.21/1.63 [ =( 'c_Message_Oanalz'( 'c_insert'( 'c_Message_Omsg_OMPair'( X, Y ), Z
% 1.21/1.63 , 'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_OMPair'( X, Y ),
% 1.21/1.63 'c_Message_Oanalz'( 'c_insert'( X, 'c_insert'( Y, Z, 'tc_Message_Omsg' )
% 1.21/1.63 , 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ) ],
% 1.21/1.63 [ =( 'c_Message_Oanalz'( 'c_insert'( 'c_Message_Omsg_ONonce'( X ), Y,
% 1.21/1.63 'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_ONonce'( X ),
% 1.21/1.63 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ) ],
% 1.21/1.63 [ =( 'c_Message_Oanalz'( 'c_insert'( 'c_Message_Omsg_ONumber'( X ), Y,
% 1.21/1.63 'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_ONumber'( X ),
% 1.21/1.63 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ) ],
% 1.21/1.63 [ =( 'c_Message_Oanalz'( 'c_Message_Oparts'( X ) ), 'c_Message_Oparts'(
% 1.21/1.63 X ) ) ],
% 1.21/1.63 [ ~( 'c_lessequals'( 'c_Message_Oanalz'( X ), 'c_Message_Oanalz'( Y ),
% 1.21/1.63 'tc_set'( 'tc_Message_Omsg' ) ) ), 'c_lessequals'( X, 'c_Message_Oanalz'(
% 1.21/1.63 Y ), 'tc_set'( 'tc_Message_Omsg' ) ) ],
% 1.21/1.63 [ ~( 'c_lessequals'( X, 'c_Message_Oanalz'( Y ), 'tc_set'(
% 1.21/1.63 'tc_Message_Omsg' ) ) ), 'c_lessequals'( 'c_Message_Oanalz'( X ),
% 1.21/1.63 'c_Message_Oanalz'( Y ), 'tc_set'( 'tc_Message_Omsg' ) ) ],
% 1.21/1.63 [ =( 'c_Message_Oanalz'( 'c_Message_Osynth'( X ) ), 'c_union'(
% 1.21/1.63 'c_Message_Oanalz'( X ), 'c_Message_Osynth'( X ), 'tc_Message_Omsg' ) ) ]
% 1.21/1.63 ,
% 1.21/1.63 [ =( 'c_Message_Oanalz'( 'c_union'( 'c_Message_Osynth'( X ), Y,
% 1.21/1.63 'tc_Message_Omsg' ) ), 'c_union'( 'c_Message_Oanalz'( 'c_union'( X, Y,
% 1.21/1.63 'tc_Message_Omsg' ) ), 'c_Message_Osynth'( X ), 'tc_Message_Omsg' ) ) ]
% 1.21/1.63 ,
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_union'( Y, Z, 'tc_Message_Omsg' )
% 1.21/1.63 ), 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oparts'( Z ),
% 1.21/1.63 'tc_Message_Omsg' ), 'c_in'( X, 'c_Message_Oparts'( Y ),
% 1.21/1.63 'tc_Message_Omsg' ) ],
% 1.21/1.63 [ =( 'c_Message_OkeysFor'( 'c_insert'( 'c_Message_OHPair'( X, Y ), Z,
% 1.21/1.63 'tc_Message_Omsg' ) ), 'c_Message_OkeysFor'( Z ) ) ],
% 1.21/1.63 [ =( 'c_Message_Oparts'( 'c_Message_Oanalz'( X ) ), 'c_Message_Oparts'(
% 1.21/1.63 X ) ) ],
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ), =(
% 1.21/1.63 'c_Message_Oparts'( 'c_insert'( X, Y, 'tc_Message_Omsg' ) ),
% 1.21/1.63 'c_Message_Oparts'( Y ) ) ],
% 1.21/1.63 [ =( 'c_Message_Oparts'( 'c_Message_Oparts'( X ) ), 'c_Message_Oparts'(
% 1.21/1.63 X ) ) ],
% 1.21/1.63 [ =( 'c_Message_Oparts'( 'c_insert'( 'c_Message_Omsg_OAgent'( X ), Y,
% 1.21/1.63 'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_OAgent'( X ),
% 1.21/1.63 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ) ],
% 1.21/1.63 [ =( 'c_Message_Oparts'( 'c_insert'( 'c_Message_Omsg_OCrypt'( X, Y ), Z
% 1.21/1.63 , 'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_OCrypt'( X, Y ),
% 1.21/1.63 'c_Message_Oparts'( 'c_insert'( Y, Z, 'tc_Message_Omsg' ) ),
% 1.21/1.63 'tc_Message_Omsg' ) ) ],
% 1.21/1.63 [ =( 'c_Message_Oparts'( 'c_insert'( 'c_Message_OHPair'( X, Y ), Z,
% 1.21/1.63 'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_OHPair'( X, Y ), 'c_insert'(
% 1.21/1.63 'c_Message_Omsg_OHash'( 'c_Message_Omsg_OMPair'( X, Y ) ),
% 1.21/1.63 'c_Message_Oparts'( 'c_insert'( Y, Z, 'tc_Message_Omsg' ) ),
% 1.21/1.63 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ],
% 1.21/1.63 [ =( 'c_Message_Oparts'( 'c_insert'( 'c_Message_Omsg_OHash'( X ), Y,
% 1.21/1.63 'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_OHash'( X ),
% 1.21/1.63 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ) ],
% 1.21/1.63 [ =( 'c_Message_Oparts'( 'c_insert'( 'c_Message_Omsg_OKey'( X ), Y,
% 1.21/1.63 'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_OKey'( X ),
% 1.21/1.63 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ) ],
% 1.21/1.63 [ =( 'c_Message_Oparts'( 'c_insert'( 'c_Message_Omsg_OMPair'( X, Y ), Z
% 1.21/1.63 , 'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_OMPair'( X, Y ),
% 1.21/1.63 'c_Message_Oparts'( 'c_insert'( X, 'c_insert'( Y, Z, 'tc_Message_Omsg' )
% 1.21/1.63 , 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ) ],
% 1.21/1.63 [ =( 'c_Message_Oparts'( 'c_insert'( 'c_Message_Omsg_ONonce'( X ), Y,
% 1.21/1.63 'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_ONonce'( X ),
% 1.21/1.63 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ) ],
% 1.21/1.63 [ =( 'c_Message_Oparts'( 'c_insert'( 'c_Message_Omsg_ONumber'( X ), Y,
% 1.21/1.63 'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_ONumber'( X ),
% 1.21/1.63 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ) ],
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_Message_Oparts'( Y ) ),
% 1.21/1.63 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oparts'( Y ),
% 1.21/1.63 'tc_Message_Omsg' ) ],
% 1.21/1.63 [ ~( 'c_lessequals'( 'c_Message_Oparts'( X ), 'c_Message_Oparts'( Y ),
% 1.21/1.63 'tc_set'( 'tc_Message_Omsg' ) ) ), 'c_lessequals'( X, 'c_Message_Oparts'(
% 1.21/1.63 Y ), 'tc_set'( 'tc_Message_Omsg' ) ) ],
% 1.21/1.63 [ ~( 'c_lessequals'( X, 'c_Message_Oparts'( Y ), 'tc_set'(
% 1.21/1.63 'tc_Message_Omsg' ) ) ), 'c_lessequals'( 'c_Message_Oparts'( X ),
% 1.21/1.63 'c_Message_Oparts'( Y ), 'tc_set'( 'tc_Message_Omsg' ) ) ],
% 1.21/1.63 [ =( 'c_Message_Oparts'( 'c_Message_Osynth'( X ) ), 'c_union'(
% 1.21/1.63 'c_Message_Oparts'( X ), 'c_Message_Osynth'( X ), 'tc_Message_Omsg' ) ) ]
% 1.21/1.63 ,
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ) ), ~(
% 1.21/1.63 'c_in'( 'c_Message_Omsg_OKey'( Z ), Y, 'tc_Message_Omsg' ) ), 'c_in'(
% 1.21/1.63 'c_Message_Omsg_OCrypt'( Z, X ), 'c_Message_Osynth'( Y ),
% 1.21/1.63 'tc_Message_Omsg' ) ],
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ) ), 'c_in'(
% 1.21/1.63 'c_Message_Omsg_OHash'( X ), 'c_Message_Osynth'( Y ), 'tc_Message_Omsg' )
% 1.21/1.63 ],
% 1.21/1.63 [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Osynth'(
% 1.21/1.63 Y ), 'tc_Message_Omsg' ) ],
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ) ), ~(
% 1.21/1.63 'c_in'( Z, 'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ) ), 'c_in'(
% 1.21/1.63 'c_Message_Omsg_OMPair'( Z, X ), 'c_Message_Osynth'( Y ),
% 1.21/1.63 'tc_Message_Omsg' ) ],
% 1.21/1.63 [ ~( 'c_lessequals'( 'c_Message_Osynth'( X ), 'c_Message_Osynth'( Y ),
% 1.21/1.63 'tc_set'( 'tc_Message_Omsg' ) ) ), 'c_lessequals'( X, 'c_Message_Osynth'(
% 1.21/1.63 Y ), 'tc_set'( 'tc_Message_Omsg' ) ) ],
% 1.21/1.63 [ ~( 'c_lessequals'( X, 'c_Message_Osynth'( Y ), 'tc_set'(
% 1.21/1.63 'tc_Message_Omsg' ) ) ), 'c_lessequals'( 'c_Message_Osynth'( X ),
% 1.21/1.63 'c_Message_Osynth'( Y ), 'tc_set'( 'tc_Message_Omsg' ) ) ],
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Message_Osynth'( 'c_Message_Osynth'( Y ) ),
% 1.21/1.63 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Osynth'( Y ),
% 1.21/1.63 'tc_Message_Omsg' ) ],
% 1.21/1.63 [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Event_Oused'(
% 1.21/1.63 'c_List_Olist_ONil' ), 'tc_Message_Omsg' ) ) ],
% 1.21/1.63 [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Event_Oused'( Z ),
% 1.21/1.63 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Event_Oused'( Z ), 'tc_Message_Omsg'
% 1.21/1.63 ) ],
% 1.21/1.63 [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Event_Oused'( Z ),
% 1.21/1.63 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Event_Oused'( Z ), 'tc_Message_Omsg'
% 1.21/1.63 ) ],
% 1.21/1.63 [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( X ), 'c_Message_Oparts'(
% 1.21/1.63 'c_Event_OinitState'( Y ) ), 'tc_Message_Omsg' ) ) ],
% 1.21/1.63 [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( X ), 'c_Event_Oused'(
% 1.21/1.63 'c_List_Olist_ONil' ), 'tc_Message_Omsg' ) ) ],
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Event_Obad', 'tc_Message_Oagent' ) ), 'c_in'(
% 1.21/1.63 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( 'c_Public_OpublicKey'( Y, X )
% 1.21/1.63 ) ), 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Z ), 'tc_Message_Omsg' )
% 1.21/1.63 ],
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Event_Obad', 'tc_Message_Oagent' ) ), 'c_in'(
% 1.21/1.63 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X ) ), 'c_Event_Oknows'(
% 1.21/1.63 'c_Message_Oagent_OSpy', Y ), 'tc_Message_Omsg' ) ],
% 1.21/1.63 [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OpublicKey'( X, Y ) ),
% 1.21/1.63 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Z ) ),
% 1.21/1.63 'tc_Message_Omsg' ) ],
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Message_OsymKeys', 'tc_nat' ) ), =(
% 1.21/1.63 'c_Message_OinvKey'( X ), X ) ],
% 1.21/1.63 [ =( 'c_Message_OinvKey'( 'c_Public_OshrK'( X ) ), 'c_Public_OshrK'( X )
% 1.21/1.63 ) ],
% 1.21/1.63 [ =( 'c_Public_Okeymode_Okeymode__case'( X, Y,
% 1.21/1.63 'c_Public_Okeymode_OSignature', Z ), X ) ],
% 1.21/1.63 [ =( 'c_Public_Okeymode_Okeymode__case'( X, Y,
% 1.21/1.63 'c_Public_Okeymode_OEncryption', Z ), Y ) ],
% 1.21/1.63 [ ~( =( 'c_Public_Okeymode_OSignature', 'c_Public_Okeymode_OEncryption'
% 1.21/1.63 ) ) ],
% 1.21/1.63 [ ~( =( 'c_Public_Okeymode_OEncryption', 'c_Public_Okeymode_OSignature'
% 1.21/1.63 ) ) ],
% 1.21/1.63 [ =( 'c_Public_Okeymode_Okeymode__rec'( X, Y,
% 1.21/1.63 'c_Public_Okeymode_OSignature', Z ), X ) ],
% 1.21/1.63 [ =( 'c_Public_Okeymode_Okeymode__rec'( X, Y,
% 1.21/1.63 'c_Public_Okeymode_OEncryption', Z ), Y ) ],
% 1.21/1.63 [ =( 'c_Nat_Osize'( 'c_Public_Okeymode_OSignature', 'tc_Public_Okeymode'
% 1.21/1.63 ), 'c_0' ) ],
% 1.21/1.63 [ =( 'c_Nat_Osize'( 'c_Public_Okeymode_OEncryption',
% 1.21/1.63 'tc_Public_Okeymode' ), 'c_0' ) ],
% 1.21/1.63 [ =( 'c_Message_OkeysFor'( 'c_Message_Oparts'( 'c_Event_OinitState'( X )
% 1.21/1.63 ) ), 'c_emptyset' ) ],
% 1.21/1.63 [ ~( 'c_in'( 'c_Message_OinvKey'( 'c_Public_OpublicKey'( X, Y ) ),
% 1.21/1.63 'c_Message_OsymKeys', 'tc_nat' ) ) ],
% 1.21/1.63 [ ~( 'c_in'( 'c_Public_OpublicKey'( X, Y ), 'c_Message_OsymKeys',
% 1.21/1.63 'tc_nat' ) ) ],
% 1.21/1.63 [ ~( =( 'c_Message_OinvKey'( 'c_Public_OpublicKey'(
% 1.21/1.63 'c_Public_Okeymode_OEncryption', X ) ), 'c_Public_OshrK'( Y ) ) ) ],
% 1.21/1.63 [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'(
% 1.21/1.63 'c_Public_OpublicKey'( X, Y ) ) ), 'c_Event_OinitState'( Y ),
% 1.21/1.63 'tc_Message_Omsg' ) ],
% 1.21/1.63 [ ~( =( 'c_Public_OshrK'( X ), 'c_Message_OinvKey'(
% 1.21/1.63 'c_Public_OpublicKey'( Y, Z ) ) ) ) ],
% 1.21/1.63 [ ~( =( 'c_Message_OinvKey'( 'c_Public_OpublicKey'( X, Y ) ),
% 1.21/1.63 'c_Public_OpublicKey'( Z, T ) ) ) ],
% 1.21/1.63 [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'(
% 1.21/1.63 'c_Public_OpublicKey'( X, Y ) ) ), 'c_Event_Oused'( Z ),
% 1.21/1.63 'tc_Message_Omsg' ) ],
% 1.21/1.63 [ ~( =( 'c_Public_OshrK'( X ), 'c_Public_OpublicKey'( Y, Z ) ) ) ],
% 1.21/1.63 [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OpublicKey'( X, Y ) ),
% 1.21/1.63 'c_Event_OinitState'( Z ), 'tc_Message_Omsg' ) ],
% 1.21/1.63 [ ~( =( 'c_Public_OpublicKey'( X, Y ), 'c_Public_OpublicKey'( Z, T ) ) )
% 1.21/1.63 , =( X, Z ) ],
% 1.21/1.63 [ ~( =( 'c_Public_OpublicKey'( X, Y ), 'c_Public_OpublicKey'( Z, T ) ) )
% 1.21/1.63 , =( Y, T ) ],
% 1.21/1.63 [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OpublicKey'( X, Y ) ),
% 1.21/1.63 'c_Event_Oused'( Z ), 'tc_Message_Omsg' ) ],
% 1.21/1.63 [ ~( =( 'c_Public_OpublicKey'( X, Y ), 'c_Message_OinvKey'(
% 1.21/1.63 'c_Public_OpublicKey'( Z, T ) ) ) ) ],
% 1.21/1.63 [ 'c_in'( 'c_Public_OshrK'( X ), 'c_Message_OsymKeys', 'tc_nat' ) ],
% 1.21/1.63 [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X ) ),
% 1.21/1.63 'c_Event_OinitState'( X ), 'tc_Message_Omsg' ) ],
% 1.21/1.63 [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X ) ),
% 1.21/1.63 'c_Event_Oknows'( X, Y ), 'tc_Message_Omsg' ) ],
% 1.21/1.63 [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X ) ),
% 1.21/1.63 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ],
% 1.21/1.63 [ ~( =( 'c_Public_OshrK'( X ), 'c_Public_OshrK'( Y ) ) ), =( X, Y ) ]
% 1.21/1.63 ,
% 1.21/1.63 [ ~( =( 'c_Message_OinvKey'( 'c_Public_OpublicKey'( X, Y ) ),
% 1.21/1.63 'c_Public_OshrK'( Z ) ) ) ],
% 1.21/1.63 [ ~( =( 'c_Public_OpublicKey'( X, Y ), 'c_Public_OshrK'( Z ) ) ) ],
% 1.21/1.63 [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OpublicKey'( X, Y ) ),
% 1.21/1.63 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Z ), 'tc_Message_Omsg' ) ]
% 1.21/1.63 ,
% 1.21/1.63 [ ~( 'c_in'( 'c_Message_OinvKey'( X ), 'c_Message_OsymKeys', 'tc_nat' )
% 1.21/1.63 ), 'c_in'( X, 'c_Message_OsymKeys', 'tc_nat' ) ],
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Message_OsymKeys', 'tc_nat' ) ), 'c_in'(
% 1.21/1.63 'c_Message_OinvKey'( X ), 'c_Message_OsymKeys', 'tc_nat' ) ],
% 1.21/1.63 [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_List_Oset'( T,
% 1.21/1.63 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z, 'c_Message_Oanalz'(
% 1.21/1.63 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', T ) ), 'tc_Message_Omsg' ) ]
% 1.21/1.63 ,
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_insert'( Y, Z, 'tc_Message_Omsg'
% 1.21/1.63 ) ), 'tc_Message_Omsg' ) ), ~( 'c_in'( Y, 'c_Message_Osynth'(
% 1.21/1.63 'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_union'(
% 1.21/1.63 'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 'c_Message_Oparts'( Z ),
% 1.21/1.63 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ],
% 1.21/1.63 [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Oparts'( Z ),
% 1.21/1.63 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oparts'( Z ),
% 1.21/1.63 'tc_Message_Omsg' ) ],
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent'
% 1.21/1.63 ) ) ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y, Z ), 'c_List_Oset'( X,
% 1.21/1.63 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z, 'c_Message_Oanalz'(
% 1.21/1.63 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ), 'tc_Message_Omsg' ) ]
% 1.21/1.63 ,
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent'
% 1.21/1.63 ) ) ), ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( Y ) ),
% 1.21/1.63 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 1.21/1.63 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Event_Obad', 'tc_Message_Oagent' ) ]
% 1.21/1.63 ,
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Event_Obad', 'tc_Message_Oagent' ) ), ~( 'c_in'( Y,
% 1.21/1.63 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent' ) ) ), 'c_in'(
% 1.21/1.63 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X ) ), 'c_Message_Oanalz'(
% 1.21/1.63 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Y ) ), 'tc_Message_Omsg' ) ]
% 1.21/1.63 ,
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent'
% 1.21/1.63 ) ) ), ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( Y ) ),
% 1.21/1.63 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 1.21/1.63 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Event_Obad', 'tc_Message_Oagent' ) ]
% 1.21/1.63 ,
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Event_Obad', 'tc_Message_Oagent' ) ), ~( 'c_in'( Y,
% 1.21/1.63 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent' ) ) ), 'c_in'(
% 1.21/1.63 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X ) ), 'c_Message_Oparts'(
% 1.21/1.63 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Y ) ), 'tc_Message_Omsg' ) ]
% 1.21/1.63 ,
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent'
% 1.21/1.63 ) ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ),
% 1.21/1.63 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ),
% 1.21/1.63 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( T ),
% 1.21/1.63 'c_Message_Omsg_OMPair'( U, W ) ) ) ), 'c_Message_Oparts'(
% 1.21/1.63 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ), 'tc_Message_Omsg' ) ),
% 1.21/1.63 'c_in'( Y, 'c_Event_Obad', 'tc_Message_Oagent' ), 'c_in'(
% 1.21/1.63 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', Y,
% 1.21/1.63 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ),
% 1.21/1.63 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ),
% 1.21/1.63 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( T ),
% 1.21/1.63 'c_Message_Omsg_OMPair'( U, W ) ) ) ), 'c_Message_Omsg_OCrypt'(
% 1.21/1.63 'c_Public_OshrK'( Z ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 1.21/1.63 Y ), 'c_Message_Omsg_OKey'( T ) ) ) ) ), 'c_List_Oset'( X,
% 1.21/1.63 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ],
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent'
% 1.21/1.63 ) ) ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y, Z ), 'c_List_Oset'( X,
% 1.21/1.63 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'(
% 1.21/1.63 'c_Event_Oevent_OSays'( 'v_sko__wPE'( Y, Z, X ), Y, Z ), 'c_List_Oset'( X
% 1.21/1.63 , 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ],
% 1.21/1.63 [ ~( 'c_Yahalom_OKeyWithNonce'( X, Y, 'c_List_Olist_OCons'(
% 1.21/1.63 'c_Event_Oevent_OGets'( Z, T ), U, 'tc_Event_Oevent' ) ) ),
% 1.21/1.63 'c_Yahalom_OKeyWithNonce'( X, Y, U ) ],
% 1.21/1.63 [ ~( 'c_Yahalom_OKeyWithNonce'( X, Y, Z ) ), 'c_Yahalom_OKeyWithNonce'(
% 1.21/1.63 X, Y, 'c_List_Olist_OCons'( 'c_Event_Oevent_OGets'( T, U ), Z,
% 1.21/1.63 'tc_Event_Oevent' ) ) ],
% 1.21/1.63 [ ~( 'c_Yahalom_OKeyWithNonce'( X, Y, 'c_List_Olist_OCons'(
% 1.21/1.63 'c_Event_Oevent_ONotes'( Z, T ), U, 'tc_Event_Oevent' ) ) ),
% 1.21/1.63 'c_Yahalom_OKeyWithNonce'( X, Y, U ) ],
% 1.21/1.63 [ ~( 'c_Yahalom_OKeyWithNonce'( X, Y, Z ) ), 'c_Yahalom_OKeyWithNonce'(
% 1.21/1.63 X, Y, 'c_List_Olist_OCons'( 'c_Event_Oevent_ONotes'( T, U ), Z,
% 1.21/1.63 'tc_Event_Oevent' ) ) ],
% 1.21/1.63 [ ~( 'c_Yahalom_OKeyWithNonce'( X, Y, 'c_List_Olist_OCons'(
% 1.21/1.63 'c_Event_Oevent_OSays'( Z, T, U ), W, 'tc_Event_Oevent' ) ) ),
% 1.21/1.63 'c_Yahalom_OKeyWithNonce'( X, Y, W ), =( 'c_Message_Oagent_OServer', Z )
% 1.21/1.63 ],
% 1.21/1.63 [ ~( 'c_Yahalom_OKeyWithNonce'( X, Y, 'c_List_Olist_OCons'(
% 1.21/1.63 'c_Event_Oevent_OSays'( Z, T, U ), W, 'tc_Event_Oevent' ) ) ),
% 1.21/1.63 'c_Yahalom_OKeyWithNonce'( X, Y, W ), =( U, 'c_Message_Omsg_OMPair'(
% 1.21/1.63 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( T ), 'c_Message_Omsg_OMPair'(
% 1.21/1.63 'c_Message_Omsg_OAgent'( 'v_sko__2VZ'( T, X, Y, U ) ),
% 1.21/1.63 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( X ),
% 1.21/1.63 'c_Message_Omsg_OMPair'( 'v_sko__2Va'( T, X, Y, U ),
% 1.21/1.63 'c_Message_Omsg_ONonce'( Y ) ) ) ) ), 'v_sko__2Vb'( T, X, Y, U ) ) ) ]
% 1.21/1.63 ,
% 1.21/1.63 [ 'c_Yahalom_OKeyWithNonce'( X, Y, 'c_List_Olist_OCons'(
% 1.21/1.63 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', Z,
% 1.21/1.63 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Z ),
% 1.21/1.63 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( T ),
% 1.21/1.63 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( X ),
% 1.21/1.63 'c_Message_Omsg_OMPair'( U, 'c_Message_Omsg_ONonce'( Y ) ) ) ) ), W ) ),
% 1.21/1.63 V0, 'tc_Event_Oevent' ) ) ],
% 1.21/1.63 [ ~( 'c_Yahalom_OKeyWithNonce'( X, Y, Z ) ), 'c_Yahalom_OKeyWithNonce'(
% 1.21/1.63 X, Y, 'c_List_Olist_OCons'( 'c_Event_Oevent_OSays'( T, U, W ), Z,
% 1.21/1.63 'tc_Event_Oevent' ) ) ],
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent'
% 1.21/1.63 ) ) ), ~( 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', Y
% 1.21/1.63 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y )
% 1.21/1.63 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ),
% 1.21/1.63 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( T ) ),
% 1.21/1.63 'c_Message_Omsg_OMPair'( U, W ) ) ) ), V0 ) ), 'c_List_Oset'( X,
% 1.21/1.63 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ],
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Message_OkeysFor'( 'c_Message_Oparts'(
% 1.21/1.63 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Y ) ) ), 'tc_nat' ) ), ~(
% 1.21/1.63 'c_in'( X, 'c_Message_OsymKeys', 'tc_nat' ) ), ~( 'c_in'( Y,
% 1.21/1.63 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent' ) ) ), 'c_in'(
% 1.21/1.63 'c_Message_Omsg_OKey'( X ), 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ]
% 1.21/1.63 ,
% 1.21/1.63 [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_List_Oset'( T,
% 1.21/1.63 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z, 'c_Event_Oknows'(
% 1.21/1.63 'c_Message_Oagent_OSpy', T ), 'tc_Message_Omsg' ) ],
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Event_Obad', 'tc_Message_Oagent' ) ), ~( 'c_in'(
% 1.21/1.63 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X ), Y ), 'c_Message_Oanalz'(
% 1.21/1.63 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Z ) ), 'tc_Message_Omsg' ) ),
% 1.21/1.63 'c_in'( Y, 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy'
% 1.21/1.63 , Z ) ), 'tc_Message_Omsg' ) ],
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Message_OsymKeys', 'tc_nat' ) ), ~( 'c_in'(
% 1.21/1.63 'c_Message_Omsg_OCrypt'( X, Y ), Z, 'tc_Message_Omsg' ) ), 'c_in'( X,
% 1.21/1.63 'c_Message_OkeysFor'( Z ), 'tc_nat' ) ],
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent'
% 1.21/1.63 ) ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ),
% 1.21/1.63 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ),
% 1.21/1.63 'c_Message_Omsg_OKey'( T ) ) ), 'c_Message_Oparts'( 'c_Event_Oknows'(
% 1.21/1.63 'c_Message_Oagent_OSpy', X ) ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 1.21/1.63 'c_Event_Obad', 'tc_Message_Oagent' ), 'c_in'( 'c_Event_Oevent_OSays'(
% 1.21/1.63 'c_Message_Oagent_OServer', Z, 'c_Message_Omsg_OMPair'(
% 1.21/1.63 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Z ), 'c_Message_Omsg_OMPair'(
% 1.21/1.63 'c_Message_Omsg_OAgent'( Y ), 'c_Message_Omsg_OMPair'(
% 1.21/1.63 'c_Message_Omsg_OKey'( T ), 'c_Message_Omsg_OMPair'(
% 1.21/1.63 'c_Message_Omsg_ONonce'( 'v_sko__2ji'( Z, Y, T, X ) ),
% 1.21/1.63 'c_Message_Omsg_ONonce'( 'v_sko__2jj'( Z, Y, T, X ) ) ) ) ) ),
% 1.21/1.63 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'(
% 1.21/1.63 'c_Message_Omsg_OAgent'( Z ), 'c_Message_Omsg_OKey'( T ) ) ) ) ),
% 1.21/1.63 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ],
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent'
% 1.21/1.63 ) ) ), ~( 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', Y
% 1.21/1.63 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y )
% 1.21/1.63 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ),
% 1.21/1.63 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( T ),
% 1.21/1.63 'c_Message_Omsg_OMPair'( U, W ) ) ) ), V0 ) ), 'c_List_Oset'( X,
% 1.21/1.63 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), ~( 'c_in'(
% 1.21/1.63 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', V1,
% 1.21/1.63 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( V1 )
% 1.21/1.63 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( V2 ),
% 1.21/1.63 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( T ),
% 1.21/1.63 'c_Message_Omsg_OMPair'( V3, V4 ) ) ) ), V5 ) ), 'c_List_Oset'( X,
% 1.21/1.63 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), =( V1, Y ) ],
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent'
% 1.21/1.63 ) ) ), ~( 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', Y
% 1.21/1.63 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y )
% 1.21/1.63 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ),
% 1.21/1.63 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( T ),
% 1.21/1.63 'c_Message_Omsg_OMPair'( U, W ) ) ) ), V0 ) ), 'c_List_Oset'( X,
% 1.21/1.63 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), ~( 'c_in'(
% 1.21/1.63 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', V1,
% 1.21/1.63 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( V1 )
% 1.21/1.63 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( V2 ),
% 1.21/1.63 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( T ),
% 1.21/1.63 'c_Message_Omsg_OMPair'( V3, V4 ) ) ) ), V5 ) ), 'c_List_Oset'( X,
% 1.21/1.63 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), =( V2, Z ) ],
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent'
% 1.21/1.63 ) ) ), ~( 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', Y
% 1.21/1.63 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y )
% 1.21/1.63 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ),
% 1.21/1.63 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( T ),
% 1.21/1.63 'c_Message_Omsg_OMPair'( U, W ) ) ) ), V0 ) ), 'c_List_Oset'( X,
% 1.21/1.63 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), ~( 'c_in'(
% 1.21/1.63 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', V1,
% 1.21/1.63 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( V1 )
% 1.21/1.63 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( V2 ),
% 1.21/1.63 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( T ),
% 1.21/1.63 'c_Message_Omsg_OMPair'( V3, V4 ) ) ) ), V5 ) ), 'c_List_Oset'( X,
% 1.21/1.63 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), =( V3, U ) ],
% 1.21/1.63 [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent'
% 1.21/1.63 ) ) ), ~( 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', Y
% 1.21/1.63 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y )
% 1.21/1.63 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ),
% 1.21/1.63 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( T ),
% 1.21/1.63 'c_Message_Omsg_OMPair'( U, W ) ) ) ), V0 ) ), 'c_List_Oset'( X,
% 1.21/1.63 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), ~( 'c_in'(
% 1.21/1.63 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', V1,
% 1.21/1.63 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( V1 )
% 1.21/1.63 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( V2 ),
% 1.21/1.63 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( T ),
% 1.21/1.63 'c_Message_Omsg_OMPair'( V3, V4 ) ) ) ), V5 ) ), 'c_List_Oset'( X,
% 1.21/1.63 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), =( V4, W ) ],
% 1.21/1.63 [ 'c_in'( 'v_evs4', 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 1.21/1.63 'tc_Event_Oevent' ) ) ],
% 1.21/1.63 [ ~( =( 'v_Aa', 'c_Message_Oagent_OServer' ) ) ],
% 1.21/1.63 [ ~( 'c_in'( 'c_Event_Oevent_OSays'( 'v_A', 'v_B',
% 1.21/1.63 'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OCrypt'( 'v_K',
% 1.21/1.63 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ), 'c_List_Oset'( 'v_evs4',
% 1.21/1.63 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ],
% 1.21/1.63 [ ~( =( X, 'v_X' ) ), ~( =( 'v_B', 'v_Ba' ) ), ~( =( 'v_A', 'v_Aa' ) ) ]
% 1.21/1.63 ,
% 1.21/1.63 [ 'c_in'( 'v_K', 'c_Message_OsymKeys', 'tc_nat' ) ],
% 1.21/1.63 [ 'c_in'( 'c_Event_Oevent_OGets'( 'v_Aa', 'c_Message_Omsg_OMPair'(
% 1.21/1.63 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_Aa' ),
% 1.21/1.63 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_Ba' ),
% 1.21/1.63 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( 'v_K' ),
% 1.21/1.63 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 1.21/1.63 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ), 'v_X' ) ), 'c_List_Oset'(
% 1.21/1.63 'v_evs4', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ],
% 1.21/1.63 [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_Aa', 'v_Ba',
% 1.21/1.63 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_Aa' ),
% 1.21/1.63 'c_Message_Omsg_ONonce'( 'v_NA' ) ) ), 'c_List_Oset'( 'v_evs4',
% 1.21/1.63 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ],
% 1.21/1.63 [ 'c_in'( 'v_X', 'c_Message_Oparts'( 'c_Event_Oknows'(
% 1.21/1.63 'c_Message_Oagent_OSpy', 'v_evs4' ) ), 'tc_Message_Omsg' ) ],
% 1.25/1.63 [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Message_Oanalz'(
% 1.25/1.63 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' ) ),
% 1.25/1.63 'tc_Message_Omsg' ) ) ],
% 1.25/1.63 [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_A', 'v_B', 'c_Message_Omsg_OMPair'(
% 1.25/1.63 'v_Xa', 'c_Message_Omsg_OCrypt'( 'v_K', 'c_Message_Omsg_ONonce'( 'v_NB' )
% 1.25/1.63 ) ) ), 'c_List_Oset'( 'v_evs4', 'tc_Event_Oevent' ), 'tc_Event_Oevent' )
% 1.25/1.63 ],
% 1.25/1.63 [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ),
% 1.25/1.63 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 1.25/1.63 'c_Message_Omsg_OKey'( 'v_K' ) ) ), 'c_Message_Oparts'( 'c_Event_Oknows'(
% 1.25/1.63 'c_Message_Oagent_OSpy', 'v_evs4' ) ), 'tc_Message_Omsg' ) ],
% 1.25/1.63 [ ~( 'c_in'( 'v_B', 'c_Event_Obad', 'tc_Message_Oagent' ) ) ]
% 1.25/1.63 ] .
% 1.25/1.63
% 1.25/1.63
% 1.25/1.63 percentage equality = 0.226314, percentage horn = 0.909276
% 1.25/1.63 This is a problem with some equality
% 1.25/1.63
% 1.25/1.63
% 1.25/1.63
% 1.25/1.63 Options Used:
% 1.25/1.63
% 1.25/1.63 useres = 1
% 1.25/1.63 useparamod = 1
% 1.25/1.63 useeqrefl = 1
% 1.25/1.63 useeqfact = 1
% 1.25/1.63 usefactor = 1
% 1.25/1.63 usesimpsplitting = 0
% 1.25/1.63 usesimpdemod = 5
% 1.25/1.63 usesimpres = 3
% 1.25/1.63
% 1.25/1.63 resimpinuse = 1000
% 1.25/1.63 resimpclauses = 20000
% 1.25/1.63 substype = eqrewr
% 1.25/1.63 backwardsubs = 1
% 1.25/1.63 selectoldest = 5
% 1.25/1.63
% 1.25/1.63 litorderings [0] = split
% 1.25/1.63 litorderings [1] = extend the termordering, first sorting on arguments
% 1.25/1.63
% 1.25/1.63 termordering = kbo
% 1.25/1.63
% 1.25/1.63 litapriori = 0
% 1.25/1.63 termapriori = 1
% 1.25/1.63 litaposteriori = 0
% 1.25/1.63 termaposteriori = 0
% 1.25/1.63 demodaposteriori = 0
% 1.25/1.63 ordereqreflfact = 0
% 1.25/1.63
% 1.25/1.63 litselect = negord
% 1.25/1.63
% 1.25/1.63 maxweight = 15
% 1.25/1.63 maxdepth = 30000
% 1.25/1.63 maxlength = 115
% 1.25/1.63 maxnrvars = 195
% 1.25/1.63 excuselevel = 1
% 1.25/1.63 increasemaxweight = 1
% 1.25/1.63
% 1.25/1.63 maxselected = 10000000
% 1.25/1.63 maxnrclauses = 10000000
% 1.25/1.63
% 1.25/1.63 showgenerated = 0
% 1.25/1.63 showkept = 0
% 1.25/1.63 showselected = 0
% 1.25/1.63 showdeleted = 0
% 1.25/1.63 showresimp = 1
% 1.25/1.63 showstatus = 2000
% 1.25/1.63
% 1.25/1.63 prologoutput = 1
% 1.25/1.63 nrgoals = 5000000
% 1.25/1.63 totalproof = 1
% 1.25/1.63
% 1.25/1.63 Symbols occurring in the translation:
% 1.25/1.63
% 1.25/1.63 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.25/1.63 . [1, 2] (w:1, o:299, a:1, s:1, b:0),
% 1.25/1.63 ! [4, 1] (w:0, o:193, a:1, s:1, b:0),
% 1.25/1.63 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.25/1.63 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.25/1.63 'c_Datatype__Universe_OLeaf' [42, 3] (w:1, o:409, a:1, s:1, b:0),
% 1.25/1.63 'c_Datatype__Universe_ONumb' [44, 3] (w:1, o:410, a:1, s:1, b:0),
% 1.25/1.63 'c_Datatype__Universe_Odprod' [48, 4] (w:1, o:476, a:1, s:1, b:0),
% 1.25/1.63 'tc_Datatype__Universe_Onode' [49, 2] (w:1, o:324, a:1, s:1, b:0),
% 1.25/1.63 'tc_set' [50, 1] (w:1, o:198, a:1, s:1, b:0),
% 1.25/1.63 'tc_prod' [51, 2] (w:1, o:325, a:1, s:1, b:0),
% 1.25/1.63 'c_in' [52, 3] (w:1, o:411, a:1, s:1, b:0),
% 1.25/1.63 'c_Main_OdprodE__1' [53, 5] (w:1, o:512, a:1, s:1, b:0),
% 1.25/1.63 'c_Main_OdprodE__2' [54, 5] (w:1, o:513, a:1, s:1, b:0),
% 1.25/1.63 'c_Datatype__Universe_OScons' [55, 4] (w:1, o:477, a:1, s:1, b:0),
% 1.25/1.63 'c_Main_OdprodE__3' [56, 5] (w:1, o:514, a:1, s:1, b:0),
% 1.25/1.63 'c_Main_OdprodE__4' [57, 5] (w:1, o:515, a:1, s:1, b:0),
% 1.25/1.63 'c_Pair' [58, 4] (w:1, o:478, a:1, s:1, b:0),
% 1.25/1.63 'c_Datatype__Universe_Odsum' [64, 4] (w:1, o:479, a:1, s:1, b:0),
% 1.25/1.63 'c_Main_OdsumE__1' [65, 4] (w:1, o:484, a:1, s:1, b:0),
% 1.25/1.63 'c_Datatype__Universe_OIn0' [66, 3] (w:1, o:412, a:1, s:1, b:0),
% 1.25/1.63 'c_Main_OdsumE__2' [67, 4] (w:1, o:485, a:1, s:1, b:0),
% 1.25/1.63 'c_Main_OdsumE__3' [68, 4] (w:1, o:486, a:1, s:1, b:0),
% 1.25/1.63 'c_Datatype__Universe_OIn1' [69, 3] (w:1, o:413, a:1, s:1, b:0),
% 1.25/1.63 'c_Main_OdsumE__4' [70, 4] (w:1, o:487, a:1, s:1, b:0),
% 1.25/1.63 'c_Datatype__Universe_Ouprod' [73, 4] (w:1, o:488, a:1, s:1, b:0),
% 1.25/1.63 'c_Main_OuprodE__1' [74, 5] (w:1, o:516, a:1, s:1, b:0),
% 1.25/1.63 'c_Main_OuprodE__2' [75, 5] (w:1, o:517, a:1, s:1, b:0),
% 1.25/1.63 'c_Datatype__Universe_Ousum' [77, 4] (w:1, o:489, a:1, s:1, b:0),
% 1.25/1.63 'c_Main_OusumE__1' [78, 4] (w:1, o:490, a:1, s:1, b:0),
% 1.25/1.63 'c_Main_OusumE__2' [79, 4] (w:1, o:491, a:1, s:1, b:0),
% 1.25/1.63 'c_0' [81, 0] (w:1, o:56, a:1, s:1, b:0),
% 1.25/1.63 'tc_nat' [82, 0] (w:1, o:57, a:1, s:1, b:0),
% 1.25/1.63 'c_Divides_Oop_Advd' [83, 3] (w:1, o:414, a:1, s:1, b:0),
% 1.25/1.63 'c_Suc' [84, 1] (w:1, o:199, a:1, s:1, b:0),
% 1.25/1.63 'c_times' [86, 3] (w:1, o:416, a:1, s:1, b:0),
% 1.25/1.63 'c_Divides_Oop_Amod' [88, 3] (w:1, o:417, a:1, s:1, b:0),
% 1.25/1.63 'c_Main_Omod__eq__0D__dest__1' [89, 2] (w:1, o:347, a:1, s:1, b:0),
% 1.25/1.63 'c_emptyset' [90, 0] (w:1, o:61, a:1, s:1, b:0),
% 1.25/1.63 'c_Finite__Set_OFinites' [91, 0] (w:1, o:65, a:1, s:1, b:0),
% 1.25/1.63 'c_insert' [93, 3] (w:1, o:418, a:1, s:1, b:0),
% 1.25/1.63 'c_inter' [96, 3] (w:1, o:419, a:1, s:1, b:0),
% 1.25/1.63 'c_Main_Ofinite__Union__1' [97, 2] (w:1, o:349, a:1, s:1, b:0),
% 1.25/1.63 'c_Union' [98, 2] (w:1, o:355, a:1, s:1, b:0),
% 1.25/1.63 'c_GCD_Ogcd' [100, 1] (w:1, o:200, a:1, s:1, b:0),
% 1.25/1.63 'c_Infinite__Set_Oatmost__one' [102, 2] (w:1, o:358, a:1, s:1, b:0),
% 1.25/1.63
% 1.25/1.63 'c_IntDef_Oint' [103, 1] (w:1, o:201, a:1, s:1, b:0),
% 1.25/1.63 'tc_IntDef_Oint' [104, 0] (w:1, o:80, a:1, s:1, b:0),
% 1.25/1.63 'c_uminus' [105, 2] (w:1, o:359, a:1, s:1, b:0),
% 1.25/1.63 'c_lessequals' [106, 3] (w:1, o:420, a:1, s:1, b:0),
% 1.25/1.63 'c_less' [107, 3] (w:1, o:421, a:1, s:1, b:0),
% 1.25/1.63 'c_1' [108, 0] (w:1, o:81, a:1, s:1, b:0),
% 1.25/1.63 'c_Main_Ozmod__eq__0D__dest__1' [109, 2] (w:1, o:360, a:1, s:1, b:0)
% 1.25/1.63 ,
% 1.25/1.63 'c_List_Oremdups' [111, 2] (w:1, o:326, a:1, s:1, b:0),
% 1.25/1.63 'c_List_Odistinct' [112, 2] (w:1, o:330, a:1, s:1, b:0),
% 1.25/1.63 'c_List_Oset' [113, 2] (w:1, o:333, a:1, s:1, b:0),
% 1.25/1.63 'c_List_Olists' [114, 2] (w:1, o:335, a:1, s:1, b:0),
% 1.25/1.63 'tc_List_Olist' [115, 1] (w:1, o:202, a:1, s:1, b:0),
% 1.25/1.63 'c_Main_Oin__listsI__1' [117, 3] (w:1, o:437, a:1, s:1, b:0),
% 1.25/1.63 'c_Nat_Osize' [118, 2] (w:1, o:373, a:1, s:1, b:0),
% 1.25/1.63 'c_List_Olist_OCons' [120, 3] (w:1, o:422, a:1, s:1, b:0),
% 1.25/1.63 'c_List_Olistrel' [121, 2] (w:1, o:334, a:1, s:1, b:0),
% 1.25/1.63 'c_Main_Olistrel__Cons1__1' [122, 5] (w:1, o:518, a:1, s:1, b:0),
% 1.25/1.63 'c_Main_Olistrel__Cons1__2' [123, 5] (w:1, o:519, a:1, s:1, b:0),
% 1.25/1.63 'c_Main_Olistrel__Cons2__1' [124, 5] (w:1, o:520, a:1, s:1, b:0),
% 1.25/1.63 'c_Main_Olistrel__Cons2__2' [125, 5] (w:1, o:521, a:1, s:1, b:0),
% 1.25/1.63 'c_List_Olist_ONil' [126, 0] (w:1, o:84, a:1, s:1, b:0),
% 1.25/1.63 'c_Wellfounded__Recursion_Owf' [128, 2] (w:1, o:374, a:1, s:1, b:0),
% 1.25/1.63
% 1.25/1.63 'c_List_Olenlex' [129, 2] (w:1, o:336, a:1, s:1, b:0),
% 1.25/1.63 'c_List_Olex' [130, 2] (w:1, o:337, a:1, s:1, b:0),
% 1.25/1.63 'class_Orderings_Oorder' [131, 1] (w:1, o:206, a:1, s:1, b:0),
% 1.25/1.63 'c_Relation_ODomain' [132, 3] (w:1, o:438, a:1, s:1, b:0),
% 1.25/1.63 'c_Main_ODomainE__1' [133, 4] (w:1, o:492, a:1, s:1, b:0),
% 1.25/1.63 'c_Relation_OId' [136, 0] (w:1, o:86, a:1, s:1, b:0),
% 1.25/1.63 'c_Main_OIdE__1' [137, 2] (w:1, o:361, a:1, s:1, b:0),
% 1.25/1.63 'c_Relation_OImage' [138, 4] (w:1, o:493, a:1, s:1, b:0),
% 1.25/1.63 'c_Main_OImageE__1' [139, 5] (w:1, o:522, a:1, s:1, b:0),
% 1.25/1.63 'c_Relation_ORange' [140, 3] (w:1, o:439, a:1, s:1, b:0),
% 1.25/1.63 'c_Main_ORangeE__1' [141, 4] (w:1, o:494, a:1, s:1, b:0),
% 1.25/1.63 'c_Relation_Oconverse' [143, 3] (w:1, o:440, a:1, s:1, b:0),
% 1.25/1.63 'c_Main_OconverseE__1' [144, 4] (w:1, o:482, a:1, s:1, b:0),
% 1.25/1.63 'c_Main_OconverseE__2' [145, 4] (w:1, o:483, a:1, s:1, b:0),
% 1.25/1.63 'c_Relation_Odiag' [146, 2] (w:1, o:375, a:1, s:1, b:0),
% 1.25/1.63 'c_Main_OdiagE__1' [147, 3] (w:1, o:441, a:1, s:1, b:0),
% 1.25/1.63 'c_Relation_Orel__comp' [150, 5] (w:1, o:523, a:1, s:1, b:0),
% 1.25/1.63 'c_Main_Orel__compE__2' [151, 6] (w:1, o:525, a:1, s:1, b:0),
% 1.25/1.63 'c_Main_Orel__compE__3' [152, 6] (w:1, o:526, a:1, s:1, b:0),
% 1.25/1.63 'c_Main_Orel__compE__1' [153, 6] (w:1, o:524, a:1, s:1, b:0),
% 1.25/1.63 'c_SetInterval_OatLeastAtMost' [154, 3] (w:1, o:442, a:1, s:1, b:0),
% 1.25/1.63
% 1.25/1.63 'c_SetInterval_OatLeastLessThan' [155, 3] (w:1, o:443, a:1, s:1, b:0)
% 1.25/1.63 ,
% 1.25/1.63 'c_SetInterval_OatMost' [156, 2] (w:1, o:377, a:1, s:1, b:0),
% 1.25/1.63 'c_SetInterval_OgreaterThanAtMost' [157, 3] (w:1, o:444, a:1, s:1, b:
% 1.25/1.63 0),
% 1.25/1.63 'c_SetInterval_OgreaterThanLessThan' [158, 3] (w:1, o:445, a:1, s:1
% 1.25/1.63 , b:0),
% 1.25/1.63 'c_SetInterval_OlessThan' [159, 2] (w:1, o:378, a:1, s:1, b:0),
% 1.25/1.63 'c_Inter' [161, 2] (w:1, o:379, a:1, s:1, b:0),
% 1.25/1.63 'c_Main_OInterI__1' [162, 3] (w:1, o:446, a:1, s:1, b:0),
% 1.25/1.63 'c_UNIV' [163, 0] (w:1, o:93, a:1, s:1, b:0),
% 1.25/1.63 'c_Main_OUnionE__1' [164, 3] (w:1, o:447, a:1, s:1, b:0),
% 1.25/1.63 'c_Main_OsubsetI__1' [165, 3] (w:1, o:448, a:1, s:1, b:0),
% 1.25/1.63 'c_Sum__Type_OInl' [166, 3] (w:1, o:449, a:1, s:1, b:0),
% 1.25/1.63 'c_Sum__Type_OPlus' [167, 4] (w:1, o:495, a:1, s:1, b:0),
% 1.25/1.63 'tc_sum' [168, 2] (w:1, o:380, a:1, s:1, b:0),
% 1.25/1.63 'c_Sum__Type_OInr' [169, 3] (w:1, o:450, a:1, s:1, b:0),
% 1.25/1.63 'c_Main_OPlusE__1' [170, 4] (w:1, o:496, a:1, s:1, b:0),
% 1.25/1.63 'c_Main_OPlusE__2' [171, 4] (w:1, o:497, a:1, s:1, b:0),
% 1.25/1.63 'c_Transitive__Closure_Ortrancl' [172, 2] (w:1, o:353, a:1, s:1, b:0)
% 1.25/1.63 ,
% 1.25/1.63 'c_Transitive__Closure_Otrancl' [173, 2] (w:1, o:354, a:1, s:1, b:0)
% 1.25/1.63 ,
% 1.25/1.63 'c_Wellfounded__Relations_Oless__than' [174, 0] (w:1, o:94, a:1, s:1
% 1.25/1.63 , b:0),
% 1.25/1.63 'c_Relation_Otrans' [175, 2] (w:1, o:376, a:1, s:1, b:0),
% 1.25/1.63 'c_Wellfounded__Relations_Olex__prod' [178, 4] (w:1, o:498, a:1, s:1
% 1.25/1.63 , b:0),
% 1.25/1.63 'tc_Datatype_Ooption' [182, 1] (w:1, o:207, a:1, s:1, b:0),
% 1.25/1.63 'class_Finite__Set_Ofinite' [183, 1] (w:1, o:208, a:1, s:1, b:0),
% 1.25/1.63 'class_HOL_Ominus' [184, 1] (w:1, o:209, a:1, s:1, b:0),
% 1.25/1.63 'class_HOL_Oone' [185, 1] (w:1, o:210, a:1, s:1, b:0),
% 1.25/1.63 'class_Ring__and__Field_Osemiring' [186, 1] (w:1, o:213, a:1, s:1, b:
% 1.25/1.63 0),
% 1.25/1.63 'class_Ring__and__Field_Ocomm__semiring' [187, 1] (w:1, o:216, a:1
% 1.25/1.63 , s:1, b:0),
% 1.25/1.63 'class_OrderedGroup_Ocomm__monoid__add' [188, 1] (w:1, o:217, a:1, s:
% 1.25/1.63 1, b:0),
% 1.25/1.63 'class_Ring__and__Field_Osemiring__0' [189, 1] (w:1, o:218, a:1, s:1
% 1.25/1.63 , b:0),
% 1.25/1.63 'class_Ring__and__Field_Ocomm__semiring__0' [190, 1] (w:1, o:219, a:1
% 1.25/1.63 , s:1, b:0),
% 1.25/1.63 'class_OrderedGroup_Ocancel__semigroup__add' [191, 1] (w:1, o:220, a:
% 1.25/1.63 1, s:1, b:0),
% 1.25/1.63 'class_OrderedGroup_Ocancel__ab__semigroup__add' [192, 1] (w:1, o:221
% 1.25/1.63 , a:1, s:1, b:0),
% 1.25/1.63 'class_OrderedGroup_Oab__group__add' [193, 1] (w:1, o:222, a:1, s:1
% 1.25/1.63 , b:0),
% 1.25/1.63 'class_Ring__and__Field_Osemiring__0__cancel' [194, 1] (w:1, o:223
% 1.25/1.63 , a:1, s:1, b:0),
% 1.25/1.63 'class_Ring__and__Field_Oring' [195, 1] (w:1, o:211, a:1, s:1, b:0),
% 1.25/1.63
% 1.25/1.63 'class_HOL_Oplus' [196, 1] (w:1, o:224, a:1, s:1, b:0),
% 1.25/1.63 'class_Ring__and__Field_Ocomm__semiring__0__cancel' [197, 1] (w:1, o:
% 1.25/1.63 225, a:1, s:1, b:0),
% 1.25/1.63 'class_Ring__and__Field_Ocomm__ring' [198, 1] (w:1, o:214, a:1, s:1
% 1.25/1.63 , b:0),
% 1.25/1.63 'class_Ring__and__Field_Oaxclass__0__neq__1' [199, 1] (w:1, o:226, a:
% 1.25/1.63 1, s:1, b:0),
% 1.25/1.63 'class_OrderedGroup_Omonoid__mult' [200, 1] (w:1, o:231, a:1, s:1, b:
% 1.25/1.63 0),
% 1.25/1.63 'class_OrderedGroup_Ocomm__monoid__mult' [201, 1] (w:1, o:232, a:1
% 1.25/1.63 , s:1, b:0),
% 1.25/1.63 'class_Ring__and__Field_Osemiring__1' [202, 1] (w:1, o:233, a:1, s:1
% 1.25/1.63 , b:0),
% 1.25/1.63 'class_Ring__and__Field_Ocomm__semiring__1' [203, 1] (w:1, o:234, a:1
% 1.25/1.63 , s:1, b:0),
% 1.25/1.63 'class_Ring__and__Field_Osemiring__1__cancel' [204, 1] (w:1, o:235
% 1.25/1.63 , a:1, s:1, b:0),
% 1.25/1.63 'class_Ring__and__Field_Oring__1' [205, 1] (w:1, o:212, a:1, s:1, b:0
% 1.25/1.63 ),
% 1.25/1.63 'class_Ring__and__Field_Ocomm__semiring__1__cancel' [206, 1] (w:1, o:
% 1.25/1.63 236, a:1, s:1, b:0),
% 1.25/1.63 'class_HOL_Otimes' [207, 1] (w:1, o:237, a:1, s:1, b:0),
% 1.25/1.63 'class_Ring__and__Field_Ocomm__ring__1' [208, 1] (w:1, o:215, a:1, s:
% 1.25/1.63 1, b:0),
% 1.25/1.63 'class_LOrder_Omeet__semilorder' [209, 1] (w:1, o:239, a:1, s:1, b:0)
% 1.25/1.63 ,
% 1.25/1.63 'class_LOrder_Ojoin__semilorder' [210, 1] (w:1, o:240, a:1, s:1, b:0)
% 1.25/1.63 ,
% 1.25/1.63 'class_LOrder_Olorder' [211, 1] (w:1, o:238, a:1, s:1, b:0),
% 1.25/1.63 'class_Orderings_Olinorder' [212, 1] (w:1, o:241, a:1, s:1, b:0),
% 1.25/1.63 'class_OrderedGroup_Opordered__ab__semigroup__add' [213, 1] (w:1, o:
% 1.25/1.63 243, a:1, s:1, b:0),
% 1.25/1.63 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [214, 1]
% 1.25/1.63 (w:1, o:244, a:1, s:1, b:0),
% 1.25/1.63 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [215, 1]
% 1.25/1.63 (w:1, o:245, a:1, s:1, b:0),
% 1.25/1.63 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add' [216, 1]
% 1.25/1.63 (w:1, o:242, a:1, s:1, b:0),
% 1.25/1.63 'class_HOL_Ozero' [217, 1] (w:1, o:246, a:1, s:1, b:0),
% 1.25/1.63 'class_Ring__and__Field_Opordered__semiring' [218, 1] (w:1, o:254, a:
% 1.25/1.63 1, s:1, b:0),
% 1.25/1.63 'class_Ring__and__Field_Opordered__cancel__semiring' [219, 1] (w:1
% 1.25/1.63 , o:255, a:1, s:1, b:0),
% 1.25/1.63 'class_Ring__and__Field_Oordered__semiring__strict' [220, 1] (w:1, o:
% 1.25/1.63 248, a:1, s:1, b:0),
% 1.25/1.63 'class_Ring__and__Field_Opordered__comm__semiring' [221, 1] (w:1, o:
% 1.25/1.63 257, a:1, s:1, b:0),
% 1.25/1.63 'class_Ring__and__Field_Opordered__cancel__comm__semiring' [222, 1]
% 1.25/1.63 (w:1, o:258, a:1, s:1, b:0),
% 1.25/1.63 'class_Ring__and__Field_Oordered__comm__semiring__strict' [223, 1]
% 1.25/1.63 (w:1, o:249, a:1, s:1, b:0),
% 1.25/1.63 'class_Ring__and__Field_Oaxclass__abs__if' [224, 1] (w:1, o:259, a:1
% 1.25/1.63 , s:1, b:0),
% 1.25/1.63 'class_OrderedGroup_Opordered__ab__group__add' [225, 1] (w:1, o:260
% 1.25/1.63 , a:1, s:1, b:0),
% 1.25/1.63 'class_OrderedGroup_Olordered__ab__group' [226, 1] (w:1, o:227, a:1
% 1.25/1.63 , s:1, b:0),
% 1.25/1.63 'class_Ring__and__Field_Opordered__ring' [227, 1] (w:1, o:253, a:1
% 1.25/1.63 , s:1, b:0),
% 1.25/1.63 'class_Orderings_Oord' [228, 1] (w:1, o:261, a:1, s:1, b:0),
% 1.25/1.63 'class_OrderedGroup_Olordered__ab__group__abs' [229, 1] (w:1, o:228
% 1.25/1.63 , a:1, s:1, b:0),
% 1.25/1.63 'class_OrderedGroup_Olordered__ab__group__meet' [230, 1] (w:1, o:229
% 1.25/1.63 , a:1, s:1, b:0),
% 1.25/1.63 'class_OrderedGroup_Olordered__ab__group__join' [231, 1] (w:1, o:230
% 1.25/1.63 , a:1, s:1, b:0),
% 1.25/1.63 'class_Ring__and__Field_Olordered__ring' [232, 1] (w:1, o:262, a:1
% 1.25/1.63 , s:1, b:0),
% 1.25/1.63 'class_Ring__and__Field_Oaxclass__no__zero__divisors' [233, 1] (w:1
% 1.25/1.63 , o:263, a:1, s:1, b:0),
% 1.25/1.63 'class_Ring__and__Field_Oordered__ring__strict' [234, 1] (w:1, o:247
% 1.25/1.63 , a:1, s:1, b:0),
% 1.25/1.63 'class_Ring__and__Field_Oordered__semidom' [235, 1] (w:1, o:250, a:1
% 1.25/1.63 , s:1, b:0),
% 1.25/1.63 'class_Ring__and__Field_Oidom' [236, 1] (w:1, o:264, a:1, s:1, b:0),
% 1.25/1.63
% 1.25/1.63 'class_Ring__and__Field_Oordered__idom' [237, 1] (w:1, o:251, a:1, s:
% 1.25/1.63 1, b:0),
% 1.25/1.63 'class_Numeral_Onumber' [238, 1] (w:1, o:203, a:1, s:1, b:0),
% 1.25/1.63 'class_OrderedGroup_Osemigroup__add' [239, 1] (w:1, o:265, a:1, s:1
% 1.25/1.63 , b:0),
% 1.25/1.63 'class_Numeral_Onumber__ring' [240, 1] (w:1, o:204, a:1, s:1, b:0),
% 1.25/1.63 'class_Divides_Odiv' [241, 1] (w:1, o:266, a:1, s:1, b:0),
% 1.25/1.63 'class_Nat_Opower' [242, 1] (w:1, o:205, a:1, s:1, b:0),
% 1.25/1.63 'class_Power_Orecpower' [243, 1] (w:1, o:270, a:1, s:1, b:0),
% 1.25/1.63 'class_Parity_Oeven__odd' [244, 1] (w:1, o:271, a:1, s:1, b:0),
% 1.25/1.63 'class_OrderedGroup_Oab__semigroup__add' [245, 1] (w:1, o:267, a:1
% 1.25/1.63 , s:1, b:0),
% 1.25/1.63 'class_OrderedGroup_Osemigroup__mult' [246, 1] (w:1, o:268, a:1, s:1
% 1.25/1.63 , b:0),
% 1.25/1.63 'class_OrderedGroup_Oab__semigroup__mult' [247, 1] (w:1, o:269, a:1
% 1.25/1.63 , s:1, b:0),
% 1.25/1.63 'tc_Product__Type_Ounit' [248, 0] (w:1, o:96, a:1, s:1, b:0),
% 1.25/1.63 'tc_bool' [249, 0] (w:1, o:97, a:1, s:1, b:0),
% 1.25/1.63 'tc_fun' [251, 2] (w:1, o:381, a:1, s:1, b:0),
% 1.25/1.63 'class_Wellfounded__Recursion_Owellorder' [252, 1] (w:1, o:272, a:1
% 1.25/1.63 , s:1, b:0),
% 1.25/1.63 'class_Ring__and__Field_Odivision__by__zero' [254, 1] (w:1, o:273, a:
% 1.25/1.63 1, s:1, b:0),
% 1.25/1.63 'class_HOL_Oinverse' [255, 1] (w:1, o:274, a:1, s:1, b:0),
% 1.25/1.63 'class_Ring__and__Field_Ofield' [256, 1] (w:1, o:275, a:1, s:1, b:0)
% 1.25/1.63 ,
% 1.25/1.63 'class_Ring__and__Field_Oordered__field' [257, 1] (w:1, o:252, a:1
% 1.25/1.63 , s:1, b:0),
% 1.25/1.63 'class_Ring__and__Field_Opordered__comm__ring' [258, 1] (w:1, o:256
% 1.25/1.63 , a:1, s:1, b:0),
% 1.25/1.63 'c_Binomial_Obinomial' [259, 2] (w:1, o:382, a:1, s:1, b:0),
% 1.25/1.63 'c_plus' [260, 3] (w:1, o:451, a:1, s:1, b:0),
% 1.25/1.63 'c_Datatype_Oo2s' [262, 2] (w:1, o:383, a:1, s:1, b:0),
% 1.25/1.63 'c_Datatype_Ooption_OSome' [263, 2] (w:1, o:384, a:1, s:1, b:0),
% 1.25/1.63 'c_Datatype_Ooption_ONone' [264, 0] (w:1, o:100, a:1, s:1, b:0),
% 1.25/1.63 'c_Main_Onot__None__eq__1' [265, 2] (w:1, o:362, a:1, s:1, b:0),
% 1.25/1.63 'c_Main_Onot__Some__eq__1' [266, 2] (w:1, o:363, a:1, s:1, b:0),
% 1.25/1.63 'c_Datatype_Othe' [269, 2] (w:1, o:385, a:1, s:1, b:0),
% 1.25/1.63 'c_Product__Type_OUnity' [270, 0] (w:1, o:101, a:1, s:1, b:0),
% 1.25/1.63 'c_Datatype_Ounit_Ounit__case' [271, 3] (w:1, o:452, a:1, s:1, b:0),
% 1.25/1.63
% 1.25/1.63 'c_Datatype_Ounit_Ounit__rec' [272, 3] (w:1, o:453, a:1, s:1, b:0),
% 1.25/1.63 'c_Datatype__Universe_OAtom' [273, 3] (w:1, o:454, a:1, s:1, b:0),
% 1.25/1.63 'c_Datatype__Universe_Ontrunc' [274, 4] (w:1, o:499, a:1, s:1, b:0),
% 1.25/1.63
% 1.25/1.63 'c_div' [276, 3] (w:1, o:455, a:1, s:1, b:0),
% 1.25/1.63 'c_Equiv__Relations_Oquotient' [277, 3] (w:1, o:456, a:1, s:1, b:0),
% 1.25/1.63
% 1.25/1.63 'c_Extraction_Osumbool_OLeft' [279, 0] (w:1, o:62, a:1, s:1, b:0),
% 1.25/1.63 'c_Extraction_Osumbool_Osumbool__case' [280, 4] (w:1, o:500, a:1, s:1
% 1.25/1.63 , b:0),
% 1.25/1.63 'c_Extraction_Osumbool_ORight' [282, 0] (w:1, o:63, a:1, s:1, b:0),
% 1.25/1.63 'c_Extraction_Osumbool_Osumbool__rec' [283, 4] (w:1, o:501, a:1, s:1
% 1.25/1.63 , b:0),
% 1.25/1.63 'tc_Extraction_Osumbool' [284, 0] (w:1, o:113, a:1, s:1, b:0),
% 1.25/1.63 'c_Finite__Set_OMax' [285, 2] (w:1, o:389, a:1, s:1, b:0),
% 1.25/1.63 'c_Orderings_Omax' [286, 3] (w:1, o:462, a:1, s:1, b:0),
% 1.25/1.63 'c_Main_OMax__le__iff__1' [287, 3] (w:1, o:463, a:1, s:1, b:0),
% 1.25/1.63 'c_Main_OMax__less__iff__1' [288, 3] (w:1, o:464, a:1, s:1, b:0),
% 1.25/1.63 'c_Finite__Set_OMin' [289, 2] (w:1, o:390, a:1, s:1, b:0),
% 1.25/1.63 'c_Main_OMin__ge__iff__1' [290, 3] (w:1, o:465, a:1, s:1, b:0),
% 1.25/1.63 'c_Main_OMin__gr__iff__1' [291, 3] (w:1, o:466, a:1, s:1, b:0),
% 1.25/1.63 'c_Orderings_Omin' [292, 3] (w:1, o:467, a:1, s:1, b:0),
% 1.25/1.63 'c_Finite__Set_Ocard' [293, 2] (w:1, o:391, a:1, s:1, b:0),
% 1.25/1.63 'c_minus' [295, 3] (w:1, o:468, a:1, s:1, b:0),
% 1.25/1.63 'c_Pow' [296, 2] (w:1, o:394, a:1, s:1, b:0),
% 1.25/1.63 'c_union' [297, 3] (w:1, o:469, a:1, s:1, b:0),
% 1.25/1.63 'c_NatArith_Oof__nat' [298, 2] (w:1, o:395, a:1, s:1, b:0),
% 1.25/1.63 'c_Fun_Oid' [299, 2] (w:1, o:396, a:1, s:1, b:0),
% 1.25/1.63 'c_Numeral_OMin' [300, 0] (w:1, o:117, a:1, s:1, b:0),
% 1.25/1.63 'c_Numeral_Onumber__of' [301, 2] (w:1, o:397, a:1, s:1, b:0),
% 1.25/1.63 'c_HOL_Oabs' [302, 2] (w:1, o:356, a:1, s:1, b:0),
% 1.25/1.63 'c_Nat_Opower' [303, 3] (w:1, o:461, a:1, s:1, b:0),
% 1.25/1.63 'c_Numeral_OPls' [304, 0] (w:1, o:118, a:1, s:1, b:0),
% 1.25/1.63 'c_Numeral_Obin__minus' [305, 1] (w:1, o:287, a:1, s:1, b:0),
% 1.25/1.63 'c_Numeral_Obin__add' [306, 2] (w:1, o:398, a:1, s:1, b:0),
% 1.25/1.63 'c_IntDef_Oneg' [307, 2] (w:1, o:399, a:1, s:1, b:0),
% 1.25/1.63 'c_Numeral_Obit_OB1' [308, 0] (w:1, o:120, a:1, s:1, b:0),
% 1.25/1.63 'c_Numeral_OBit' [309, 2] (w:1, o:400, a:1, s:1, b:0),
% 1.25/1.63 'c_Numeral_Obit_OB0' [310, 0] (w:1, o:119, a:1, s:1, b:0),
% 1.25/1.63 'c_IntDef_Oiszero' [312, 2] (w:1, o:401, a:1, s:1, b:0),
% 1.25/1.63 'c_IntDef_Onat' [313, 1] (w:1, o:288, a:1, s:1, b:0),
% 1.25/1.63 'c_IntDef_Oof__int' [314, 2] (w:1, o:402, a:1, s:1, b:0),
% 1.25/1.63 'c_IntDef_OInteg' [316, 0] (w:1, o:122, a:1, s:1, b:0),
% 1.25/1.63 'c_IntDef_OAbs__Integ' [317, 1] (w:1, o:289, a:1, s:1, b:0),
% 1.25/1.63 'c_IntDef_ORep__Integ' [318, 1] (w:1, o:290, a:1, s:1, b:0),
% 1.25/1.63 'c_IntDef_OInts' [319, 0] (w:1, o:123, a:1, s:1, b:0),
% 1.25/1.63 'c_IntDef_ONats' [320, 0] (w:1, o:124, a:1, s:1, b:0),
% 1.25/1.63 'c_IntDef_Ointrel' [321, 0] (w:1, o:125, a:1, s:1, b:0),
% 1.25/1.63 'c_IntDiv_OposDivAlg' [322, 1] (w:1, o:291, a:1, s:1, b:0),
% 1.25/1.63 'c_IntDiv_OnegateSnd' [323, 1] (w:1, o:292, a:1, s:1, b:0),
% 1.25/1.63 'c_fst' [324, 3] (w:1, o:470, a:1, s:1, b:0),
% 1.25/1.63 'c_IntDiv_OnegDivAlg' [325, 1] (w:1, o:293, a:1, s:1, b:0),
% 1.25/1.63 'c_snd' [326, 3] (w:1, o:415, a:1, s:1, b:0),
% 1.25/1.63 'c_IntDiv_Oadjust' [327, 2] (w:1, o:403, a:1, s:1, b:0),
% 1.25/1.63 'c_LOrder_Ojoin' [329, 3] (w:1, o:423, a:1, s:1, b:0),
% 1.25/1.63 'c_LOrder_Omeet' [330, 3] (w:1, o:424, a:1, s:1, b:0),
% 1.25/1.63 'c_List_Oconcat' [332, 2] (w:1, o:328, a:1, s:1, b:0),
% 1.25/1.63 'c_Main_ONil__eq__concat__conv__1' [333, 2] (w:1, o:364, a:1, s:1, b:
% 1.25/1.63 0),
% 1.25/1.63 'c_append' [334, 3] (w:1, o:471, a:1, s:1, b:0),
% 1.25/1.63 'c_List_Orev' [335, 2] (w:1, o:331, a:1, s:1, b:0),
% 1.25/1.63 'c_List_Obutlast' [337, 2] (w:1, o:327, a:1, s:1, b:0),
% 1.25/1.63 'c_List_Olast' [338, 2] (w:1, o:338, a:1, s:1, b:0),
% 1.25/1.63 'c_List_Otake' [341, 3] (w:1, o:428, a:1, s:1, b:0),
% 1.25/1.63 'c_List_Odrop' [342, 3] (w:1, o:429, a:1, s:1, b:0),
% 1.25/1.63 'c_List_Ochar_OChar' [345, 2] (w:1, o:329, a:1, s:1, b:0),
% 1.25/1.63 'tc_List_Ochar' [348, 0] (w:1, o:131, a:1, s:1, b:0),
% 1.25/1.63 'c_Main_Oconcat__eq__Nil__conv__1' [349, 2] (w:1, o:365, a:1, s:1, b:
% 1.25/1.63 0),
% 1.25/1.63 'c_List_Orotate1' [350, 2] (w:1, o:332, a:1, s:1, b:0),
% 1.25/1.63 'c_List_Oremove1' [351, 3] (w:1, o:430, a:1, s:1, b:0),
% 1.25/1.63 'c_List_Orotate' [352, 3] (w:1, o:431, a:1, s:1, b:0),
% 1.25/1.63 'c_List_Osublist' [354, 3] (w:1, o:426, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Oupt' [356, 2] (w:1, o:340, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Oreplicate' [357, 3] (w:1, o:425, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Ohd' [358, 2] (w:1, o:341, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Otl' [359, 2] (w:1, o:339, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Oitrev' [360, 3] (w:1, o:432, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Olist__update' [362, 4] (w:1, o:480, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Ozip' [363, 4] (w:1, o:481, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Olexn' [364, 3] (w:1, o:433, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Olexord' [365, 2] (w:1, o:342, a:1, s:1, b:0),
% 1.25/1.65 'c_Main_Olexord__Nil__left__1' [366, 2] (w:1, o:345, a:1, s:1, b:0),
% 1.25/1.65
% 1.25/1.65 'c_Main_Olexord__Nil__left__2' [367, 2] (w:1, o:346, a:1, s:1, b:0),
% 1.25/1.65
% 1.25/1.65 'c_List_Olist__inter' [373, 3] (w:1, o:434, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Onth' [374, 3] (w:1, o:435, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Olistset' [375, 2] (w:1, o:343, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Oset__Cons' [377, 3] (w:1, o:427, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Onibble_ONibble9' [391, 0] (w:1, o:144, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Onibble_Onibble__case' [392, 18] (w:1, o:527, a:1, s:1, b:0)
% 1.25/1.65 ,
% 1.25/1.65 'c_List_Onibble_ONibbleA' [394, 0] (w:1, o:145, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Onibble_ONibbleB' [395, 0] (w:1, o:146, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Onibble_ONibbleC' [396, 0] (w:1, o:147, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Onibble_ONibbleD' [397, 0] (w:1, o:148, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Onibble_ONibbleE' [398, 0] (w:1, o:149, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Onibble_ONibbleF' [399, 0] (w:1, o:150, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Onibble_ONibble0' [400, 0] (w:1, o:151, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Onibble_ONibble1' [401, 0] (w:1, o:152, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Onibble_ONibble2' [402, 0] (w:1, o:153, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Onibble_ONibble3' [403, 0] (w:1, o:154, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Onibble_ONibble4' [404, 0] (w:1, o:155, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Onibble_ONibble5' [405, 0] (w:1, o:156, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Onibble_ONibble6' [406, 0] (w:1, o:157, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Onibble_ONibble7' [407, 0] (w:1, o:158, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Onibble_ONibble8' [408, 0] (w:1, o:143, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Onibble_Onibble__rec' [409, 18] (w:1, o:528, a:1, s:1, b:0),
% 1.25/1.65
% 1.25/1.65 'tc_List_Onibble' [410, 0] (w:1, o:159, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Onull' [411, 2] (w:1, o:344, a:1, s:1, b:0),
% 1.25/1.65 'c_List_Oop_Amem' [412, 3] (w:1, o:436, a:1, s:1, b:0),
% 1.25/1.65 'c_Map_Omap__of' [415, 4] (w:1, o:502, a:1, s:1, b:0),
% 1.25/1.65 'c_Numeral_Obin__succ' [416, 1] (w:1, o:294, a:1, s:1, b:0),
% 1.25/1.65 'c_Numeral_Obin__mult' [418, 2] (w:1, o:404, a:1, s:1, b:0),
% 1.25/1.65 'c_divide' [419, 3] (w:1, o:472, a:1, s:1, b:0),
% 1.25/1.65 'c_HOL_Oinverse' [420, 2] (w:1, o:357, a:1, s:1, b:0),
% 1.25/1.65 'c_Numeral_Obin__pred' [421, 1] (w:1, o:295, a:1, s:1, b:0),
% 1.25/1.65 'c_Numeral_Obit_Obit__case' [422, 4] (w:1, o:503, a:1, s:1, b:0),
% 1.25/1.65 'c_Numeral_Obit_Obit__rec' [423, 4] (w:1, o:504, a:1, s:1, b:0),
% 1.25/1.65 'tc_Numeral_Obit' [424, 0] (w:1, o:162, a:1, s:1, b:0),
% 1.25/1.65 'c_OrderedGroup_Onprt' [425, 2] (w:1, o:392, a:1, s:1, b:0),
% 1.25/1.65 'c_OrderedGroup_Opprt' [426, 2] (w:1, o:393, a:1, s:1, b:0),
% 1.25/1.65 'c_Parity_Oeven' [427, 2] (w:1, o:405, a:1, s:1, b:0),
% 1.25/1.65 'c_Main_Osurj__pair__1' [429, 3] (w:1, o:457, a:1, s:1, b:0),
% 1.25/1.65 'c_Main_Osurj__pair__2' [430, 3] (w:1, o:458, a:1, s:1, b:0),
% 1.25/1.65 'c_SetInterval_OatLeast' [432, 2] (w:1, o:350, a:1, s:1, b:0),
% 1.25/1.65 'c_SetInterval_OgreaterThan' [433, 2] (w:1, o:351, a:1, s:1, b:0),
% 1.25/1.65 'c_Main_OInter__UNIV__conv__1__1' [434, 2] (w:1, o:366, a:1, s:1, b:0
% 1.25/1.65 ),
% 1.25/1.65 'c_Main_OInter__UNIV__conv__2__1' [435, 2] (w:1, o:367, a:1, s:1, b:0
% 1.25/1.65 ),
% 1.25/1.65 'c_Main_OInter__iff__1' [436, 3] (w:1, o:459, a:1, s:1, b:0),
% 1.25/1.65 'c_Main_OUnion__empty__conv__1' [437, 2] (w:1, o:368, a:1, s:1, b:0)
% 1.25/1.65 ,
% 1.25/1.65 'c_Main_OUnion__iff__1' [438, 3] (w:1, o:460, a:1, s:1, b:0),
% 1.25/1.65 'c_Main_Oall__not__in__conv__1' [439, 2] (w:1, o:369, a:1, s:1, b:0)
% 1.25/1.65 ,
% 1.25/1.65 'c_Set_Ocontents' [440, 2] (w:1, o:352, a:1, s:1, b:0),
% 1.25/1.65 'c_Main_Oempty__Union__conv__1' [441, 2] (w:1, o:348, a:1, s:1, b:0)
% 1.25/1.65 ,
% 1.25/1.65 'c_Wellfounded__Recursion_Oacyclic' [442, 2] (w:1, o:406, a:1, s:1
% 1.25/1.65 , b:0),
% 1.25/1.65 'c_Message_Omsg_OMPair' [445, 2] (w:1, o:370, a:1, s:1, b:0),
% 1.25/1.65 'c_Message_Oparts' [447, 1] (w:1, o:276, a:1, s:1, b:0),
% 1.25/1.65 'tc_Message_Omsg' [448, 0] (w:1, o:160, a:1, s:1, b:0),
% 1.25/1.65 'c_Message_Oagent_OServer' [449, 0] (w:1, o:114, a:1, s:1, b:0),
% 1.25/1.65 'c_Message_Oagent_OFriend' [451, 1] (w:1, o:277, a:1, s:1, b:0),
% 1.25/1.65 'c_Message_Oagent_OSpy' [452, 0] (w:1, o:115, a:1, s:1, b:0),
% 1.25/1.65 'tc_Message_Oagent' [454, 0] (w:1, o:161, a:1, s:1, b:0),
% 1.25/1.65 'c_Message_OinvKey' [455, 1] (w:1, o:278, a:1, s:1, b:0),
% 1.25/1.65 'c_Message_OkeysFor' [459, 1] (w:1, o:279, a:1, s:1, b:0),
% 1.25/1.65 'c_Message_Omsg_OAgent' [460, 1] (w:1, o:280, a:1, s:1, b:0),
% 1.25/1.65 'c_Message_Omsg_OCrypt' [461, 2] (w:1, o:371, a:1, s:1, b:0),
% 1.25/1.65 'c_Message_Omsg_OHash' [462, 1] (w:1, o:281, a:1, s:1, b:0),
% 1.25/1.65 'c_Message_Omsg_OKey' [463, 1] (w:1, o:282, a:1, s:1, b:0),
% 1.25/1.65 'c_Message_Omsg_ONonce' [464, 1] (w:1, o:283, a:1, s:1, b:0),
% 1.25/1.65 'c_Message_Omsg_ONumber' [465, 1] (w:1, o:284, a:1, s:1, b:0),
% 1.25/1.65 'c_Event_Obad' [474, 0] (w:1, o:64, a:1, s:1, b:0),
% 1.25/1.65 'c_Event_Oknows' [476, 2] (w:1, o:386, a:1, s:1, b:0),
% 1.25/1.65 'c_Event_Oused' [477, 1] (w:1, o:296, a:1, s:1, b:0),
% 1.25/1.65 'c_Event_Oevent_OSays' [480, 3] (w:1, o:473, a:1, s:1, b:0),
% 1.25/1.65 'c_Event_Oevent_OGets' [481, 2] (w:1, o:387, a:1, s:1, b:0),
% 1.25/1.65 'c_Event_Oevent_ONotes' [482, 2] (w:1, o:388, a:1, s:1, b:0),
% 1.25/1.65 'tc_Event_Oevent' [485, 0] (w:1, o:171, a:1, s:1, b:0),
% 1.25/1.65 'c_Message_Osynth' [486, 1] (w:1, o:285, a:1, s:1, b:0),
% 1.25/1.65 'v_sko__uhi' [487, 2] (w:1, o:407, a:1, s:1, b:0),
% 1.25/1.65 'c_Event_OinitState' [488, 1] (w:1, o:297, a:1, s:1, b:0),
% 1.25/1.65 'c_Message_Oanalz' [489, 1] (w:1, o:286, a:1, s:1, b:0),
% 1.25/1.65 'c_Message_OHPair' [492, 2] (w:1, o:372, a:1, s:1, b:0),
% 1.25/1.65 'c_Public_OpublicKey' [495, 2] (w:1, o:408, a:1, s:1, b:0),
% 1.25/1.65 'c_Public_OshrK' [496, 1] (w:1, o:298, a:1, s:1, b:0),
% 1.25/1.65 'c_Message_OsymKeys' [497, 0] (w:1, o:116, a:1, s:1, b:0),
% 1.25/1.65 'c_Public_Okeymode_OSignature' [498, 0] (w:1, o:174, a:1, s:1, b:0),
% 1.25/1.65
% 1.25/1.65 'c_Public_Okeymode_Okeymode__case' [499, 4] (w:1, o:505, a:1, s:1, b:
% 1.25/1.65 0),
% 1.25/1.65 'c_Public_Okeymode_OEncryption' [500, 0] (w:1, o:175, a:1, s:1, b:0)
% 1.25/1.65 ,
% 1.25/1.65 'c_Public_Okeymode_Okeymode__rec' [501, 4] (w:1, o:506, a:1, s:1, b:0
% 1.25/1.65 ),
% 1.25/1.65 'tc_Public_Okeymode' [502, 0] (w:1, o:176, a:1, s:1, b:0),
% 1.25/1.65 'c_Yahalom_Oyahalom' [504, 0] (w:1, o:177, a:1, s:1, b:0),
% 1.25/1.65 'v_sko__wPE' [507, 3] (w:1, o:474, a:1, s:1, b:0),
% 1.25/1.65 'c_Yahalom_OKeyWithNonce' [509, 3] (w:1, o:475, a:1, s:1, b:0),
% 1.25/1.65 'v_sko__2VZ' [510, 4] (w:1, o:507, a:1, s:1, b:0),
% 1.25/1.65 'v_sko__2Va' [511, 4] (w:1, o:508, a:1, s:1, b:0),
% 1.25/1.65 'v_sko__2Vb' [512, 4] (w:1, o:509, a:1, s:1, b:0),
% 1.25/1.65 'v_sko__2ji' [514, 4] (w:1, o:510, a:1, s:1, b:0),
% 1.25/1.65 'v_sko__2jj' [515, 4] (w:1, o:511, a:1, s:1, b:0),
% 1.25/1.65 'v_evs4' [519, 0] (w:1, o:183, a:1, s:1, b:0),
% 1.25/1.65 'v_Aa' [520, 0] (w:1, o:184, a:1, s:1, b:0),
% 1.25/1.65 'v_A' [521, 0] (w:1, o:185, a:1, s:1, b:0),
% 1.25/1.65 'v_B' [522, 0] (w:1, o:186, a:1, s:1, b:0),
% 1.25/1.65 'v_K' [523, 0] (w:1, o:187, a:1, s:1, b:0),
% 1.25/1.65 'v_NB' [524, 0] (w:1, o:189, a:1, s:1, b:0),
% 1.25/1.65 'v_X' [525, 0] (w:1, o:190, a:1, s:1, b:0),
% 1.25/1.65 'v_Ba' [526, 0] (w:1, o:191, a:1, s:1, b:0),
% 1.25/1.65 'v_NA' [527, 0] (w:1, o:188, a:1, s:1, b:0),
% 1.25/1.65 'v_Xa' [528, 0] (w:1, o:192, a:1, s:1, b:0).
% 1.25/1.65
% 1.25/1.65
% 1.25/1.65 Starting Search:
% 1.25/1.65
% 1.25/1.65
% 1.25/1.65 Bliksems!, er is een bewijs:
% 1.25/1.65 % SZS status Unsatisfiable
% 1.25/1.65 % SZS output start Refutation
% 1.25/1.65
% 1.25/1.65 clause( 2827, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( 'v_A', 'v_B',
% 1.25/1.65 'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OCrypt'( 'v_K',
% 1.25/1.65 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ), 'c_List_Oset'( 'v_evs4',
% 1.25/1.65 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 1.25/1.65 .
% 1.25/1.65 clause( 2834, [] )
% 1.25/1.65 .
% 1.25/1.65
% 1.25/1.65
% 1.25/1.65 % SZS output end Refutation
% 1.25/1.65 found a proof!
% 1.25/1.65
% 1.25/1.65 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.25/1.65
% 1.25/1.65 initialclauses(
% 1.25/1.65 [ clause( 2836, [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ),
% 1.25/1.65 'c_Datatype__Universe_OLeaf'( T, Y, Z ) ) ), =( X, T ) ] )
% 1.25/1.65 , clause( 2837, [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ),
% 1.25/1.65 'c_Datatype__Universe_ONumb'( T, Y, Z ) ) ), =( X, T ) ] )
% 1.25/1.65 , clause( 2838, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U )
% 1.25/1.65 , 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.25/1.65 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), =( X, 'c_Pair'(
% 1.25/1.65 'c_Datatype__Universe_OScons'( 'c_Main_OdprodE__1'( X, Y, Z, T, U ),
% 1.25/1.65 'c_Main_OdprodE__2'( X, Y, Z, T, U ), T, U ),
% 1.25/1.65 'c_Datatype__Universe_OScons'( 'c_Main_OdprodE__3'( X, Y, Z, T, U ),
% 1.25/1.65 'c_Main_OdprodE__4'( X, Y, Z, T, U ), T, U ), 'tc_set'(
% 1.25/1.65 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.25/1.65 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 1.25/1.65 , clause( 2839, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U )
% 1.25/1.65 , 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.25/1.65 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 1.25/1.65 'c_Main_OdprodE__2'( X, Y, Z, T, U ), 'c_Main_OdprodE__4'( X, Y, Z, T, U
% 1.25/1.65 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.25/1.65 'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'(
% 1.25/1.65 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.25/1.65 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 1.25/1.65 , clause( 2840, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U )
% 1.25/1.65 , 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.25/1.65 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 1.25/1.65 'c_Main_OdprodE__1'( X, Y, Z, T, U ), 'c_Main_OdprodE__3'( X, Y, Z, T, U
% 1.25/1.65 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.25/1.65 'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'(
% 1.25/1.65 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.25/1.65 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 1.25/1.65 , clause( 2841, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'(
% 1.25/1.65 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.25/1.65 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U, 'tc_prod'( 'tc_set'(
% 1.25/1.65 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.25/1.65 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), ~( 'c_in'( 'c_Pair'( W, V0
% 1.25/1.65 , 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.25/1.65 'tc_Datatype__Universe_Onode'( Z, T ) ) ), V1, 'tc_prod'( 'tc_set'(
% 1.25/1.65 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.25/1.65 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'(
% 1.25/1.65 'c_Datatype__Universe_OScons'( W, X, Z, T ),
% 1.25/1.65 'c_Datatype__Universe_OScons'( V0, Y, Z, T ), 'tc_set'(
% 1.25/1.65 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.25/1.65 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odprod'(
% 1.25/1.65 V1, U, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.25/1.65 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ] )
% 1.25/1.65 , clause( 2842, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U )
% 1.25/1.65 , 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.25/1.65 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), =( X, 'c_Pair'(
% 1.25/1.65 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__1'( Y, X, T, U ), T, U ),
% 1.25/1.65 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__2'( Y, X, T, U ), T, U ),
% 1.25/1.65 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.25/1.65 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'(
% 1.25/1.65 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__3'( Z, X, T, U ), T, U ),
% 1.25/1.65 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__4'( Z, X, T, U ), T, U ),
% 1.25/1.65 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.25/1.65 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 1.25/1.65 , clause( 2843, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U )
% 1.25/1.65 , 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.25/1.65 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 1.25/1.65 'c_Main_OdsumE__3'( Z, X, T, U ), 'c_Main_OdsumE__4'( Z, X, T, U ),
% 1.25/1.65 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.25/1.65 'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'(
% 1.25/1.65 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.25/1.65 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'(
% 1.25/1.65 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__1'( Y, X, T, U ), T, U ),
% 1.25/1.65 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__2'( Y, X, T, U ), T, U ),
% 1.25/1.65 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.25/1.65 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 1.25/1.65 , clause( 2844, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U )
% 1.25/1.65 , 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.25/1.65 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 1.25/1.65 'c_Main_OdsumE__1'( Y, X, T, U ), 'c_Main_OdsumE__2'( Y, X, T, U ),
% 1.25/1.65 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.25/1.65 'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'(
% 1.25/1.65 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.25/1.65 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'(
% 1.25/1.65 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__3'( Z, X, T, U ), T, U ),
% 1.25/1.65 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__4'( Z, X, T, U ), T, U ),
% 1.25/1.65 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.25/1.65 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 1.25/1.65 , clause( 2845, [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U )
% 1.25/1.65 , 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.25/1.65 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 1.25/1.65 'c_Main_OdsumE__1'( Y, X, T, U ), 'c_Main_OdsumE__2'( Y, X, T, U ),
% 1.25/1.65 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.25/1.65 'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'(
% 1.25/1.65 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.25/1.65 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Pair'(
% 1.25/1.65 'c_Main_OdsumE__3'( Z, X, T, U ), 'c_Main_OdsumE__4'( Z, X, T, U ),
% 1.25/1.65 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.25/1.65 'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'(
% 1.25/1.65 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.25/1.65 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ] )
% 1.25/1.65 , clause( 2846, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'(
% 1.25/1.65 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.25/1.65 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U, 'tc_prod'( 'tc_set'(
% 1.25/1.65 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.25/1.65 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'(
% 1.25/1.65 'c_Datatype__Universe_OIn0'( X, Z, T ), 'c_Datatype__Universe_OIn0'( Y, Z
% 1.25/1.65 , T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.25/1.65 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odsum'(
% 1.25/1.65 U, W, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.25/1.65 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ] )
% 1.25/1.65 , clause( 2847, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'(
% 1.25/1.65 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.25/1.65 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U, 'tc_prod'( 'tc_set'(
% 1.25/1.65 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.25/1.65 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'(
% 1.25/1.65 'c_Datatype__Universe_OIn1'( X, Z, T ), 'c_Datatype__Universe_OIn1'( Y, Z
% 1.25/1.65 , T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.25/1.65 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odsum'(
% 1.25/1.65 W, U, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.25/1.65 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ] )
% 1.25/1.65 , clause( 2848, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U )
% 1.25/1.65 , 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X,
% 1.25/1.65 'c_Datatype__Universe_OScons'( 'c_Main_OuprodE__1'( Y, Z, X, T, U ),
% 1.25/1.65 'c_Main_OuprodE__2'( Y, Z, X, T, U ), T, U ) ) ] )
% 1.25/1.65 , clause( 2849, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U )
% 1.25/1.65 , 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'(
% 1.25/1.65 'c_Main_OuprodE__2'( Y, Z, X, T, U ), Z, 'tc_set'(
% 1.25/1.65 'tc_Datatype__Universe_Onode'( T, U ) ) ) ] )
% 1.25/1.65 , clause( 2850, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U )
% 1.25/1.65 , 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'(
% 1.25/1.65 'c_Main_OuprodE__1'( Y, Z, X, T, U ), Y, 'tc_set'(
% 1.25/1.65 'tc_Datatype__Universe_Onode'( T, U ) ) ) ] )
% 1.25/1.65 , clause( 2851, [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'(
% 1.25/1.65 Z, T ) ) ) ), ~( 'c_in'( U, W, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 1.25/1.65 , T ) ) ) ), 'c_in'( 'c_Datatype__Universe_OScons'( U, X, Z, T ),
% 1.25/1.65 'c_Datatype__Universe_Ouprod'( W, Y, Z, T ), 'tc_set'(
% 1.25/1.65 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ] )
% 1.25/1.65 , clause( 2852, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U )
% 1.25/1.65 , 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X,
% 1.25/1.65 'c_Datatype__Universe_OIn0'( 'c_Main_OusumE__1'( Y, X, T, U ), T, U ) ),
% 1.25/1.65 =( X, 'c_Datatype__Universe_OIn1'( 'c_Main_OusumE__2'( Z, X, T, U ), T, U
% 1.25/1.65 ) ) ] )
% 1.25/1.65 , clause( 2853, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U )
% 1.25/1.65 , 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'(
% 1.25/1.65 'c_Main_OusumE__2'( Z, X, T, U ), Z, 'tc_set'(
% 1.25/1.65 'tc_Datatype__Universe_Onode'( T, U ) ) ), =( X,
% 1.25/1.65 'c_Datatype__Universe_OIn0'( 'c_Main_OusumE__1'( Y, X, T, U ), T, U ) ) ]
% 1.25/1.65 )
% 1.25/1.65 , clause( 2854, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U )
% 1.25/1.65 , 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'(
% 1.25/1.65 'c_Main_OusumE__1'( Y, X, T, U ), Y, 'tc_set'(
% 1.25/1.65 'tc_Datatype__Universe_Onode'( T, U ) ) ), =( X,
% 1.25/1.65 'c_Datatype__Universe_OIn1'( 'c_Main_OusumE__2'( Z, X, T, U ), T, U ) ) ]
% 1.25/1.65 )
% 1.25/1.65 , clause( 2855, [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U )
% 1.25/1.65 , 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'(
% 1.25/1.65 'c_Main_OusumE__1'( Y, X, T, U ), Y, 'tc_set'(
% 1.25/1.65 'tc_Datatype__Universe_Onode'( T, U ) ) ), 'c_in'( 'c_Main_OusumE__2'( Z
% 1.25/1.65 , X, T, U ), Z, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ] )
% 1.25/1.65 , clause( 2856, [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'(
% 1.25/1.65 Z, T ) ) ) ), 'c_in'( 'c_Datatype__Universe_OIn0'( X, Z, T ),
% 1.25/1.65 'c_Datatype__Universe_Ousum'( Y, U, Z, T ), 'tc_set'(
% 1.25/1.65 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ] )
% 1.25/1.65 , clause( 2857, [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'(
% 1.25/1.65 Z, T ) ) ) ), 'c_in'( 'c_Datatype__Universe_OIn1'( X, Z, T ),
% 1.25/1.65 'c_Datatype__Universe_Ousum'( U, Y, Z, T ), 'tc_set'(
% 1.25/1.65 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ] )
% 1.25/1.65 , clause( 2858, [ 'c_Divides_Oop_Advd'( X, 'c_0', 'tc_nat' ) ] )
% 1.25/1.65 , clause( 2859, [ 'c_Divides_Oop_Advd'( 'c_Suc'( 'c_0' ), X, 'tc_nat' ) ]
% 1.25/1.65 )
% 1.25/1.65 , clause( 2860, [ 'c_Divides_Oop_Advd'( X, 'c_times'( X, Y, 'tc_nat' ),
% 1.25/1.65 'tc_nat' ) ] )
% 1.25/1.65 , clause( 2861, [ 'c_Divides_Oop_Advd'( X, 'c_times'( Y, X, 'tc_nat' ),
% 1.25/1.65 'tc_nat' ) ] )
% 1.25/1.65 , clause( 2862, [ ~( =( 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ), 'c_0' ) ),
% 1.25/1.65 =( X, 'c_times'( Y, 'c_Main_Omod__eq__0D__dest__1'( Y, X ), 'tc_nat' ) )
% 1.25/1.65 ] )
% 1.25/1.65 , clause( 2863, [ 'c_in'( 'c_emptyset', 'c_Finite__Set_OFinites', 'tc_set'(
% 1.25/1.65 X ) ) ] )
% 1.25/1.65 , clause( 2864, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) )
% 1.25/1.65 , 'c_in'( 'c_insert'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y )
% 1.25/1.65 ) ] )
% 1.25/1.65 , clause( 2865, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) )
% 1.25/1.65 , 'c_in'( 'c_inter'( X, Z, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 1.25/1.65 ] )
% 1.25/1.65 , clause( 2866, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) )
% 1.25/1.65 , 'c_in'( 'c_inter'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 1.25/1.65 ] )
% 1.25/1.65 , clause( 2867, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'(
% 1.25/1.65 'tc_set'( Y ) ) ) ), 'c_in'( 'c_Main_Ofinite__Union__1'( X, Y ), X,
% 1.25/1.65 'tc_set'( Y ) ), 'c_in'( 'c_Union'( X, Y ), 'c_Finite__Set_OFinites',
% 1.25/1.65 'tc_set'( Y ) ) ] )
% 1.25/1.65 , clause( 2868, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'(
% 1.25/1.65 'tc_set'( Y ) ) ) ), ~( 'c_in'( 'c_Main_Ofinite__Union__1'( X, Y ),
% 1.25/1.65 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 'c_Union'( X, Y ),
% 1.25/1.65 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ] )
% 1.25/1.65 , clause( 2869, [ 'c_Divides_Oop_Advd'( 'c_GCD_Ogcd'( 'c_Pair'( X, Y,
% 1.25/1.65 'tc_nat', 'tc_nat' ) ), X, 'tc_nat' ) ] )
% 1.25/1.65 , clause( 2870, [ 'c_Divides_Oop_Advd'( 'c_GCD_Ogcd'( 'c_Pair'( X, Y,
% 1.25/1.65 'tc_nat', 'tc_nat' ) ), Y, 'tc_nat' ) ] )
% 1.25/1.65 , clause( 2871, [ ~( 'c_Infinite__Set_Oatmost__one'( X, Y ) ), ~( 'c_in'( Z
% 1.25/1.65 , X, Y ) ), ~( 'c_in'( T, X, Y ) ), =( Z, T ) ] )
% 1.25/1.65 , clause( 2872, [ 'c_lessequals'( 'c_uminus'( 'c_IntDef_Oint'( X ),
% 1.25/1.65 'tc_IntDef_Oint' ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ] )
% 1.25/1.65 , clause( 2873, [ 'c_less'( 'c_uminus'( 'c_IntDef_Oint'( 'c_Suc'( X ) ),
% 1.25/1.65 'tc_IntDef_Oint' ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ] )
% 1.25/1.65 , clause( 2874, [ 'c_Divides_Oop_Advd'( X, 'c_0', 'tc_IntDef_Oint' ) ] )
% 1.25/1.65 , clause( 2875, [ 'c_Divides_Oop_Advd'( 'c_1', X, 'tc_IntDef_Oint' ) ] )
% 1.25/1.65 , clause( 2876, [ 'c_Divides_Oop_Advd'( X, 'c_times'( X, Y,
% 1.25/1.65 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 1.25/1.65 , clause( 2877, [ 'c_Divides_Oop_Advd'( X, 'c_times'( Y, X,
% 1.25/1.65 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 1.25/1.65 , clause( 2878, [ ~( =( 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' ),
% 1.25/1.65 'c_0' ) ), =( X, 'c_times'( Y, 'c_Main_Ozmod__eq__0D__dest__1'( Y, X ),
% 1.25/1.65 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.65 , clause( 2879, [ 'c_List_Odistinct'( 'c_List_Oremdups'( X, Y ), Y ) ] )
% 1.25/1.65 , clause( 2880, [ 'c_in'( 'c_List_Oset'( X, Y ), 'c_Finite__Set_OFinites',
% 1.25/1.65 'tc_set'( Y ) ) ] )
% 1.25/1.65 , clause( 2881, [ ~( 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z
% 1.25/1.65 ) ) ), ~( 'c_in'( T, 'c_List_Oset'( X, Z ), Z ) ), 'c_in'( T, Y, Z ) ]
% 1.25/1.65 )
% 1.25/1.65 , clause( 2882, [ 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z )
% 1.25/1.65 ), 'c_in'( 'c_Main_Oin__listsI__1'( Y, X, Z ), 'c_List_Oset'( X, Z ), Z
% 1.25/1.65 ) ] )
% 1.25/1.65 , clause( 2883, [ ~( 'c_in'( 'c_Main_Oin__listsI__1'( X, Y, Z ), X, Z ) ),
% 1.25/1.65 'c_in'( Y, 'c_List_Olists'( X, Z ), 'tc_List_Olist'( Z ) ) ] )
% 1.25/1.65 , clause( 2884, [ 'c_lessequals'( 'c_Nat_Osize'( 'c_List_Oremdups'( X, Y )
% 1.25/1.65 , 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ),
% 1.25/1.65 'tc_nat' ) ] )
% 1.25/1.65 , clause( 2885, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T,
% 1.25/1.65 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ),
% 1.25/1.65 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), =( T,
% 1.25/1.65 'c_List_Olist_OCons'( 'c_Main_Olistrel__Cons1__1'( U, T, X, Y, Z ),
% 1.25/1.65 'c_Main_Olistrel__Cons1__2'( U, T, X, Y, Z ), Z ) ) ] )
% 1.25/1.65 , clause( 2886, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T,
% 1.25/1.65 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ),
% 1.25/1.65 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'(
% 1.25/1.65 'c_Pair'( Y, 'c_Main_Olistrel__Cons1__2'( U, T, X, Y, Z ),
% 1.25/1.65 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ),
% 1.25/1.65 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ] )
% 1.25/1.65 , clause( 2887, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T,
% 1.25/1.65 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ),
% 1.25/1.65 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'(
% 1.25/1.65 'c_Pair'( X, 'c_Main_Olistrel__Cons1__1'( U, T, X, Y, Z ), Z, Z ), U,
% 1.25/1.65 'tc_prod'( Z, Z ) ) ] )
% 1.25/1.65 , clause( 2888, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ),
% 1.25/1.65 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ),
% 1.25/1.65 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), =( X,
% 1.25/1.65 'c_List_Olist_OCons'( 'c_Main_Olistrel__Cons2__1'( U, X, Y, Z, T ),
% 1.25/1.65 'c_Main_Olistrel__Cons2__2'( U, X, Y, Z, T ), T ) ) ] )
% 1.25/1.65 , clause( 2889, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ),
% 1.25/1.65 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ),
% 1.25/1.65 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), 'c_in'(
% 1.25/1.65 'c_Pair'( 'c_Main_Olistrel__Cons2__2'( U, X, Y, Z, T ), Z,
% 1.25/1.65 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ),
% 1.25/1.65 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ] )
% 1.25/1.65 , clause( 2890, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ),
% 1.25/1.65 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ),
% 1.25/1.65 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), 'c_in'(
% 1.25/1.65 'c_Pair'( 'c_Main_Olistrel__Cons2__1'( U, X, Y, Z, T ), Y, T, T ), U,
% 1.25/1.65 'tc_prod'( T, T ) ) ] )
% 1.25/1.65 , clause( 2891, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X,
% 1.25/1.65 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_List_Olistrel'( Z, Y ),
% 1.25/1.65 'tc_prod'( 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X,
% 1.25/1.65 'c_List_Olist_ONil' ) ] )
% 1.25/1.65 , clause( 2892, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil',
% 1.25/1.65 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_List_Olistrel'( Z, Y ),
% 1.25/1.65 'tc_prod'( 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X,
% 1.25/1.65 'c_List_Olist_ONil' ) ] )
% 1.25/1.65 , clause( 2893, [ ~( 'c_in'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.25/1.65 'c_List_Olists'( T, Z ), 'tc_List_Olist'( Z ) ) ), 'c_in'( Y,
% 1.25/1.65 'c_List_Olists'( T, Z ), 'tc_List_Olist'( Z ) ) ] )
% 1.25/1.65 , clause( 2894, [ ~( 'c_in'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.25/1.65 'c_List_Olists'( T, Z ), 'tc_List_Olist'( Z ) ) ), 'c_in'( X, T, Z ) ] )
% 1.25/1.65 , clause( 2895, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( T, 'c_List_Olists'( Y
% 1.25/1.65 , Z ), 'tc_List_Olist'( Z ) ) ), 'c_in'( 'c_List_Olist_OCons'( X, T, Z )
% 1.25/1.65 , 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ] )
% 1.25/1.65 , clause( 2896, [ 'c_in'( 'c_List_Olist_ONil', 'c_List_Olists'( X, Y ),
% 1.25/1.65 'tc_List_Olist'( Y ) ) ] )
% 1.25/1.65 , clause( 2897, [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ),
% 1.25/1.65 'c_Wellfounded__Recursion_Owf'( 'c_List_Olenlex'( X, Y ), 'tc_List_Olist'(
% 1.25/1.65 Y ) ) ] )
% 1.25/1.65 , clause( 2898, [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ),
% 1.25/1.65 'c_Wellfounded__Recursion_Owf'( 'c_List_Olex'( X, Y ), 'tc_List_Olist'( Y
% 1.25/1.65 ) ) ] )
% 1.25/1.65 , clause( 2899, [ 'c_lessequals'( 'c_0', X, 'tc_nat' ) ] )
% 1.25/1.65 , clause( 2900, [ 'c_less'( X, 'c_Suc'( X ), 'tc_nat' ) ] )
% 1.25/1.65 , clause( 2901, [ ~( 'c_less'( X, X, 'tc_nat' ) ) ] )
% 1.25/1.65 , clause( 2902, [ 'c_less'( 'c_0', 'c_Suc'( X ), 'tc_nat' ) ] )
% 1.25/1.65 , clause( 2903, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y
% 1.25/1.65 , X ) ] )
% 1.25/1.65 , clause( 2904, [ ~( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ) ),
% 1.25/1.65 'c_in'( 'c_Pair'( X, 'c_Main_ODomainE__1'( X, Y, Z, T ), Z, T ), Y,
% 1.25/1.65 'tc_prod'( Z, T ) ) ] )
% 1.25/1.65 , clause( 2905, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) )
% 1.25/1.65 ), 'c_in'( X, 'c_Relation_ODomain'( U, Z, T ), Z ) ] )
% 1.25/1.65 , clause( 2906, [ ~( 'c_in'( X, 'c_Relation_OId', 'tc_prod'( Y, Y ) ) ),
% 1.25/1.65 =( X, 'c_Pair'( 'c_Main_OIdE__1'( X, Y ), 'c_Main_OIdE__1'( X, Y ), Y, Y
% 1.25/1.65 ) ) ] )
% 1.25/1.65 , clause( 2907, [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ),
% 1.25/1.65 'c_in'( 'c_Main_OImageE__1'( Z, X, Y, T, U ), Z, T ) ] )
% 1.25/1.65 , clause( 2908, [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ),
% 1.25/1.65 'c_in'( 'c_Pair'( 'c_Main_OImageE__1'( Z, X, Y, T, U ), X, T, U ), Y,
% 1.25/1.65 'tc_prod'( T, U ) ) ] )
% 1.25/1.65 , clause( 2909, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( 'c_Pair'( X, T, Z, U )
% 1.25/1.66 , W, 'tc_prod'( Z, U ) ) ), 'c_in'( T, 'c_Relation_OImage'( W, Y, Z, U )
% 1.25/1.66 , U ) ] )
% 1.25/1.66 , clause( 2910, [ ~( 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ) ),
% 1.25/1.66 'c_in'( 'c_Pair'( 'c_Main_ORangeE__1'( X, Y, T, Z ), X, Z, T ), Y,
% 1.25/1.66 'tc_prod'( Z, T ) ) ] )
% 1.25/1.66 , clause( 2911, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) )
% 1.25/1.66 ), 'c_in'( Y, 'c_Relation_ORange'( U, Z, T ), T ) ] )
% 1.25/1.66 , clause( 2912, [ ~( 'c_in'( X, 'c_Relation_Oconverse'( Y, Z, T ),
% 1.25/1.66 'tc_prod'( T, Z ) ) ), 'c_in'( 'c_Pair'( 'c_Main_OconverseE__1'( Y, X, Z
% 1.25/1.66 , T ), 'c_Main_OconverseE__2'( Y, X, Z, T ), Z, T ), Y, 'tc_prod'( Z, T )
% 1.25/1.66 ) ] )
% 1.25/1.66 , clause( 2913, [ ~( 'c_in'( X, 'c_Relation_Oconverse'( Y, Z, T ),
% 1.25/1.66 'tc_prod'( T, Z ) ) ), =( X, 'c_Pair'( 'c_Main_OconverseE__2'( Y, X, Z, T
% 1.25/1.66 ), 'c_Main_OconverseE__1'( Y, X, Z, T ), T, Z ) ) ] )
% 1.25/1.66 , clause( 2914, [ ~( 'c_in'( X, 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z
% 1.25/1.66 ) ) ), =( X, 'c_Pair'( 'c_Main_OdiagE__1'( Y, X, Z ), 'c_Main_OdiagE__1'(
% 1.25/1.66 Y, X, Z ), Z, Z ) ) ] )
% 1.25/1.66 , clause( 2915, [ ~( 'c_in'( X, 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z
% 1.25/1.66 ) ) ), 'c_in'( 'c_Main_OdiagE__1'( Y, X, Z ), Y, Z ) ] )
% 1.25/1.66 , clause( 2916, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Pair'( X, X, Z, Z ),
% 1.25/1.66 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ] )
% 1.25/1.66 , clause( 2917, [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ),
% 1.25/1.66 'tc_prod'( W, U ) ) ), 'c_in'( 'c_Pair'( 'c_Main_Orel__compE__2'( Y, Z, X
% 1.25/1.66 , T, U, W ), 'c_Main_Orel__compE__3'( Y, Z, X, T, U, W ), T, U ), Y,
% 1.25/1.66 'tc_prod'( T, U ) ) ] )
% 1.25/1.66 , clause( 2918, [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ),
% 1.25/1.66 'tc_prod'( W, U ) ) ), 'c_in'( 'c_Pair'( 'c_Main_Orel__compE__1'( Y, Z, X
% 1.25/1.66 , T, U, W ), 'c_Main_Orel__compE__2'( Y, Z, X, T, U, W ), W, T ), Z,
% 1.25/1.66 'tc_prod'( W, T ) ) ] )
% 1.25/1.66 , clause( 2919, [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ),
% 1.25/1.66 'tc_prod'( W, U ) ) ), =( X, 'c_Pair'( 'c_Main_Orel__compE__1'( Y, Z, X,
% 1.25/1.66 T, U, W ), 'c_Main_Orel__compE__3'( Y, Z, X, T, U, W ), W, U ) ) ] )
% 1.25/1.66 , clause( 2920, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) )
% 1.25/1.66 ), ~( 'c_in'( 'c_Pair'( W, X, V0, Z ), V1, 'tc_prod'( V0, Z ) ) ),
% 1.25/1.66 'c_in'( 'c_Pair'( W, Y, V0, T ), 'c_Relation_Orel__comp'( U, V1, Z, T, V0
% 1.25/1.66 ), 'tc_prod'( V0, T ) ) ] )
% 1.25/1.66 , clause( 2921, [ 'c_in'( 'c_SetInterval_OatLeastAtMost'( X, Y, 'tc_nat' )
% 1.25/1.66 , 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 1.25/1.66 , clause( 2922, [ 'c_in'( 'c_SetInterval_OatLeastAtMost'( X, Y,
% 1.25/1.66 'tc_IntDef_Oint' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint'
% 1.25/1.66 ) ) ] )
% 1.25/1.66 , clause( 2923, [ 'c_in'( 'c_SetInterval_OatLeastLessThan'( X, Y, 'tc_nat'
% 1.25/1.66 ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 1.25/1.66 , clause( 2924, [ 'c_in'( 'c_SetInterval_OatLeastLessThan'( X, Y,
% 1.25/1.66 'tc_IntDef_Oint' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint'
% 1.25/1.66 ) ) ] )
% 1.25/1.66 , clause( 2925, [ 'c_in'( 'c_SetInterval_OatMost'( X, 'tc_nat' ),
% 1.25/1.66 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 1.25/1.66 , clause( 2926, [ 'c_in'( 'c_SetInterval_OgreaterThanAtMost'( X, Y,
% 1.25/1.66 'tc_nat' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 1.25/1.66 , clause( 2927, [ 'c_in'( 'c_SetInterval_OgreaterThanAtMost'( X, Y,
% 1.25/1.66 'tc_IntDef_Oint' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint'
% 1.25/1.66 ) ) ] )
% 1.25/1.66 , clause( 2928, [ 'c_in'( 'c_SetInterval_OgreaterThanLessThan'( X, Y,
% 1.25/1.66 'tc_nat' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 1.25/1.66 , clause( 2929, [ 'c_in'( 'c_SetInterval_OgreaterThanLessThan'( X, Y,
% 1.25/1.66 'tc_IntDef_Oint' ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint'
% 1.25/1.66 ) ) ] )
% 1.25/1.66 , clause( 2930, [ 'c_in'( 'c_SetInterval_OlessThan'( X, 'tc_nat' ),
% 1.25/1.66 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ] )
% 1.25/1.66 , clause( 2931, [ 'c_in'( X, 'c_Inter'( Y, Z ), Z ), 'c_in'(
% 1.25/1.66 'c_Main_OInterI__1'( X, Y, Z ), Y, 'tc_set'( Z ) ) ] )
% 1.25/1.66 , clause( 2932, [ ~( 'c_in'( X, 'c_Main_OInterI__1'( X, Y, Z ), Z ) ),
% 1.25/1.66 'c_in'( X, 'c_Inter'( Y, Z ), Z ) ] )
% 1.25/1.66 , clause( 2933, [ 'c_in'( X, 'c_UNIV', Y ) ] )
% 1.25/1.66 , clause( 2934, [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'(
% 1.25/1.66 'c_Main_OUnionE__1'( X, Y, Z ), Y, 'tc_set'( Z ) ) ] )
% 1.25/1.66 , clause( 2935, [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( X,
% 1.25/1.66 'c_Main_OUnionE__1'( X, Y, Z ), Z ) ] )
% 1.25/1.66 , clause( 2936, [ 'c_lessequals'( 'c_emptyset', X, 'tc_set'( Y ) ) ] )
% 1.25/1.66 , clause( 2937, [ ~( 'c_less'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'(
% 1.25/1.66 Y, X, 'tc_set'( Z ) ) ) ] )
% 1.25/1.66 , clause( 2938, [ ~( 'c_less'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( X,
% 1.25/1.66 Y, 'tc_set'( Z ) ) ] )
% 1.25/1.66 , clause( 2939, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_less'( X,
% 1.25/1.66 Y, 'tc_set'( Z ) ), =( X, Y ) ] )
% 1.25/1.66 , clause( 2940, [ ~( 'c_in'( X, 'c_insert'( Y, 'c_emptyset', Z ), Z ) ),
% 1.25/1.66 =( X, Y ) ] )
% 1.25/1.66 , clause( 2941, [ 'c_in'( X, 'c_insert'( X, 'c_emptyset', Y ), Y ) ] )
% 1.25/1.66 , clause( 2942, [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z,
% 1.25/1.66 'c_emptyset', Y ) ) ), =( X, Z ) ] )
% 1.25/1.66 , clause( 2943, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'(
% 1.25/1.66 Z ) ) ), 'c_in'( X, T, Z ) ] )
% 1.25/1.66 , clause( 2944, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ),
% 1.25/1.66 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 1.25/1.66 , clause( 2945, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ),
% 1.25/1.66 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 1.25/1.66 , clause( 2946, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~(
% 1.25/1.66 'c_lessequals'( Y, X, 'tc_set'( Z ) ) ), =( Y, X ) ] )
% 1.25/1.66 , clause( 2947, [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ] )
% 1.25/1.66 , clause( 2948, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Sum__Type_OInl'( X, Z
% 1.25/1.66 , T ), 'c_Sum__Type_OPlus'( Y, U, Z, T ), 'tc_sum'( Z, T ) ) ] )
% 1.25/1.66 , clause( 2949, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Sum__Type_OInr'( X, Z
% 1.25/1.66 , T ), 'c_Sum__Type_OPlus'( U, Y, T, Z ), 'tc_sum'( T, Z ) ) ] )
% 1.25/1.66 , clause( 2950, [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'(
% 1.25/1.66 T, U ) ) ), =( X, 'c_Sum__Type_OInl'( 'c_Main_OPlusE__1'( Y, X, T, U ), T
% 1.25/1.66 , U ) ), =( X, 'c_Sum__Type_OInr'( 'c_Main_OPlusE__2'( Z, X, U, T ), U, T
% 1.25/1.66 ) ) ] )
% 1.25/1.66 , clause( 2951, [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'(
% 1.25/1.66 T, U ) ) ), 'c_in'( 'c_Main_OPlusE__2'( Z, X, U, T ), Z, U ), =( X,
% 1.25/1.66 'c_Sum__Type_OInl'( 'c_Main_OPlusE__1'( Y, X, T, U ), T, U ) ) ] )
% 1.25/1.66 , clause( 2952, [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'(
% 1.25/1.66 T, U ) ) ), 'c_in'( 'c_Main_OPlusE__1'( Y, X, T, U ), Y, T ), =( X,
% 1.25/1.66 'c_Sum__Type_OInr'( 'c_Main_OPlusE__2'( Z, X, U, T ), U, T ) ) ] )
% 1.25/1.66 , clause( 2953, [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'(
% 1.25/1.66 T, U ) ) ), 'c_in'( 'c_Main_OPlusE__1'( Y, X, T, U ), Y, T ), 'c_in'(
% 1.25/1.66 'c_Main_OPlusE__2'( Z, X, U, T ), Z, U ) ] )
% 1.25/1.66 , clause( 2954, [ ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ), 'c_in'( X,
% 1.25/1.66 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) ) ] )
% 1.25/1.66 , clause( 2955, [ 'c_in'( 'c_Pair'( X, X, Y, Y ),
% 1.25/1.66 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_prod'( Y, Y ) ) ] )
% 1.25/1.66 , clause( 2956, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) )
% 1.25/1.66 ), 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 1.25/1.66 ), 'tc_prod'( Z, Z ) ) ] )
% 1.25/1.66 , clause( 2957, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 1.25/1.66 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), 'c_in'(
% 1.25/1.66 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ),
% 1.25/1.66 'tc_prod'( Z, Z ) ) ] )
% 1.25/1.66 , clause( 2958, [ 'c_Wellfounded__Recursion_Owf'( 'c_emptyset', X ) ] )
% 1.25/1.66 , clause( 2959, [ 'c_Relation_Otrans'(
% 1.25/1.66 'c_Wellfounded__Relations_Oless__than', 'tc_nat' ) ] )
% 1.25/1.66 , clause( 2960, [ ~( 'c_Relation_Otrans'( X, Y ) ), ~( 'c_Relation_Otrans'(
% 1.25/1.66 Z, T ) ), 'c_Relation_Otrans'( 'c_Wellfounded__Relations_Olex__prod'( Z,
% 1.25/1.66 X, T, Y ), 'tc_prod'( T, Y ) ) ] )
% 1.25/1.66 , clause( 2961, [ 'c_Wellfounded__Recursion_Owf'(
% 1.25/1.66 'c_Wellfounded__Relations_Oless__than', 'tc_nat' ) ] )
% 1.25/1.66 , clause( 2962, [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), ~(
% 1.25/1.66 'c_Wellfounded__Recursion_Owf'( Z, T ) ), 'c_Wellfounded__Recursion_Owf'(
% 1.25/1.66 'c_Wellfounded__Relations_Olex__prod'( Z, X, T, Y ), 'tc_prod'( T, Y ) )
% 1.25/1.66 ] )
% 1.25/1.66 , clause( 2963, [ 'class_Finite__Set_Ofinite'( 'tc_Datatype_Ooption'( X ) )
% 1.25/1.66 , ~( 'class_Finite__Set_Ofinite'( X ) ) ] )
% 1.25/1.66 , clause( 2964, [ 'class_HOL_Ominus'( 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 2965, [ 'class_HOL_Oone'( 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 2966, [ 'class_Ring__and__Field_Osemiring'( 'tc_IntDef_Oint' ) ]
% 1.25/1.66 )
% 1.25/1.66 , clause( 2967, [ 'class_Ring__and__Field_Ocomm__semiring'(
% 1.25/1.66 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 2968, [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_IntDef_Oint'
% 1.25/1.66 ) ] )
% 1.25/1.66 , clause( 2969, [ 'class_Ring__and__Field_Osemiring__0'( 'tc_IntDef_Oint' )
% 1.25/1.66 ] )
% 1.25/1.66 , clause( 2970, [ 'class_Ring__and__Field_Ocomm__semiring__0'(
% 1.25/1.66 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 2971, [ 'class_OrderedGroup_Ocancel__semigroup__add'(
% 1.25/1.66 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 2972, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 1.25/1.66 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 2973, [ 'class_OrderedGroup_Oab__group__add'( 'tc_IntDef_Oint' )
% 1.25/1.66 ] )
% 1.25/1.66 , clause( 2974, [ 'class_Ring__and__Field_Osemiring__0__cancel'(
% 1.25/1.66 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 2975, [ 'class_Ring__and__Field_Oring'( 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 2976, [ 'class_HOL_Oplus'( 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 2977, [ 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 1.25/1.66 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 2978, [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_IntDef_Oint' )
% 1.25/1.66 ] )
% 1.25/1.66 , clause( 2979, [ 'class_Ring__and__Field_Oaxclass__0__neq__1'(
% 1.25/1.66 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 2980, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_IntDef_Oint' ) ]
% 1.25/1.66 )
% 1.25/1.66 , clause( 2981, [ 'class_OrderedGroup_Ocomm__monoid__mult'(
% 1.25/1.66 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 2982, [ 'class_Ring__and__Field_Osemiring__1'( 'tc_IntDef_Oint' )
% 1.25/1.66 ] )
% 1.25/1.66 , clause( 2983, [ 'class_Ring__and__Field_Ocomm__semiring__1'(
% 1.25/1.66 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 2984, [ 'class_Ring__and__Field_Osemiring__1__cancel'(
% 1.25/1.66 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 2985, [ 'class_Ring__and__Field_Oring__1'( 'tc_IntDef_Oint' ) ]
% 1.25/1.66 )
% 1.25/1.66 , clause( 2986, [ 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 1.25/1.66 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 2987, [ 'class_HOL_Otimes'( 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 2988, [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_IntDef_Oint'
% 1.25/1.66 ) ] )
% 1.25/1.66 , clause( 2989, [ 'class_Orderings_Oorder'( 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 2990, [ 'class_LOrder_Omeet__semilorder'( 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 2991, [ 'class_LOrder_Ojoin__semilorder'( 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 2992, [ 'class_LOrder_Olorder'( 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 2993, [ 'class_Orderings_Olinorder'( 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 2994, [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 1.25/1.66 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 2995, [
% 1.25/1.66 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 1.25/1.66 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 2996, [
% 1.25/1.66 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.25/1.66 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 2997, [ 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'(
% 1.25/1.66 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 2998, [ 'class_HOL_Ozero'( 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 2999, [ 'class_Ring__and__Field_Opordered__semiring'(
% 1.25/1.66 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 3000, [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.25/1.66 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 3001, [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 1.25/1.66 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 3002, [ 'class_Ring__and__Field_Opordered__comm__semiring'(
% 1.25/1.66 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 3003, [
% 1.25/1.66 'class_Ring__and__Field_Opordered__cancel__comm__semiring'(
% 1.25/1.66 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 3004, [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.25/1.66 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 3005, [ 'class_Ring__and__Field_Oaxclass__abs__if'(
% 1.25/1.66 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 3006, [ 'class_OrderedGroup_Opordered__ab__group__add'(
% 1.25/1.66 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 3007, [ 'class_OrderedGroup_Olordered__ab__group'(
% 1.25/1.66 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 3008, [ 'class_Ring__and__Field_Opordered__ring'(
% 1.25/1.66 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 3009, [ 'class_Orderings_Oord'( 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 3010, [ 'class_OrderedGroup_Olordered__ab__group__abs'(
% 1.25/1.66 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 3011, [ 'class_OrderedGroup_Olordered__ab__group__meet'(
% 1.25/1.66 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 3012, [ 'class_OrderedGroup_Olordered__ab__group__join'(
% 1.25/1.66 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 3013, [ 'class_Ring__and__Field_Olordered__ring'(
% 1.25/1.66 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 3014, [ 'class_Ring__and__Field_Oaxclass__no__zero__divisors'(
% 1.25/1.66 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 3015, [ 'class_Ring__and__Field_Oordered__ring__strict'(
% 1.25/1.66 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 3016, [ 'class_Ring__and__Field_Oordered__semidom'(
% 1.25/1.66 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 3017, [ 'class_Ring__and__Field_Oidom'( 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 3018, [ 'class_Ring__and__Field_Oordered__idom'( 'tc_IntDef_Oint'
% 1.25/1.66 ) ] )
% 1.25/1.66 , clause( 3019, [ 'class_Numeral_Onumber'( 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 3020, [ 'class_OrderedGroup_Osemigroup__add'( 'tc_IntDef_Oint' )
% 1.25/1.66 ] )
% 1.25/1.66 , clause( 3021, [ 'class_Numeral_Onumber__ring'( 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 3022, [ 'class_Divides_Odiv'( 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 3023, [ 'class_Nat_Opower'( 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 3024, [ 'class_Power_Orecpower'( 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 3025, [ 'class_Parity_Oeven__odd'( 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 3026, [ 'class_OrderedGroup_Oab__semigroup__add'(
% 1.25/1.66 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 3027, [ 'class_OrderedGroup_Osemigroup__mult'( 'tc_IntDef_Oint' )
% 1.25/1.66 ] )
% 1.25/1.66 , clause( 3028, [ 'class_OrderedGroup_Oab__semigroup__mult'(
% 1.25/1.66 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 3029, [ 'class_Finite__Set_Ofinite'( 'tc_Product__Type_Ounit' ) ]
% 1.25/1.66 )
% 1.25/1.66 , clause( 3030, [ 'class_Finite__Set_Ofinite'( 'tc_bool' ) ] )
% 1.25/1.66 , clause( 3031, [ 'class_Finite__Set_Ofinite'( 'tc_fun'( X, Y ) ), ~(
% 1.25/1.66 'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 1.25/1.66 ] )
% 1.25/1.66 , clause( 3032, [ 'class_Nat_Opower'( 'tc_fun'( X, Y ) ) ] )
% 1.25/1.66 , clause( 3033, [ 'class_HOL_Oone'( 'tc_nat' ) ] )
% 1.25/1.66 , clause( 3034, [ 'class_HOL_Ozero'( 'tc_nat' ) ] )
% 1.25/1.66 , clause( 3035, [ 'class_HOL_Oplus'( 'tc_nat' ) ] )
% 1.25/1.66 , clause( 3036, [ 'class_HOL_Otimes'( 'tc_nat' ) ] )
% 1.25/1.66 , clause( 3037, [ 'class_Nat_Opower'( 'tc_nat' ) ] )
% 1.25/1.66 , clause( 3038, [ 'class_Ring__and__Field_Oaxclass__0__neq__1'( 'tc_nat' )
% 1.25/1.66 ] )
% 1.25/1.66 , clause( 3039, [ 'class_OrderedGroup_Osemigroup__add'( 'tc_nat' ) ] )
% 1.25/1.66 , clause( 3040, [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ] )
% 1.25/1.66 , clause( 3041, [ 'class_OrderedGroup_Osemigroup__mult'( 'tc_nat' ) ] )
% 1.25/1.66 , clause( 3042, [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ]
% 1.25/1.66 )
% 1.25/1.66 , clause( 3043, [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ] )
% 1.25/1.66 , clause( 3044, [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ] )
% 1.25/1.66 , clause( 3045, [ 'class_Orderings_Oord'( 'tc_nat' ) ] )
% 1.25/1.66 , clause( 3046, [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ] )
% 1.25/1.66 , clause( 3047, [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ] )
% 1.25/1.66 , clause( 3048, [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' ) ]
% 1.25/1.66 )
% 1.25/1.66 , clause( 3049, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ] )
% 1.25/1.66 , clause( 3050, [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ] )
% 1.25/1.66 , clause( 3051, [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ] )
% 1.25/1.66 , clause( 3052, [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ]
% 1.25/1.66 )
% 1.25/1.66 , clause( 3053, [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' )
% 1.25/1.66 ] )
% 1.25/1.66 , clause( 3054, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 1.25/1.66 'tc_nat' ) ] )
% 1.25/1.66 , clause( 3055, [ 'class_Ring__and__Field_Osemiring__0__cancel'( 'tc_nat' )
% 1.25/1.66 ] )
% 1.25/1.66 , clause( 3056, [ 'class_Orderings_Oorder'( 'tc_nat' ) ] )
% 1.25/1.66 , clause( 3057, [ 'class_Ring__and__Field_Osemiring__1__cancel'( 'tc_nat' )
% 1.25/1.66 ] )
% 1.25/1.66 , clause( 3058, [ 'class_Ring__and__Field_Ocomm__semiring__0__cancel'(
% 1.25/1.66 'tc_nat' ) ] )
% 1.25/1.66 , clause( 3059, [ 'class_Ring__and__Field_Ocomm__semiring__1__cancel'(
% 1.25/1.66 'tc_nat' ) ] )
% 1.25/1.66 , clause( 3060, [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 1.25/1.66 'tc_nat' ) ] )
% 1.25/1.66 , clause( 3061, [
% 1.25/1.66 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' ) ]
% 1.25/1.66 )
% 1.25/1.66 , clause( 3062, [
% 1.25/1.66 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat' ) ]
% 1.25/1.66 )
% 1.25/1.66 , clause( 3063, [ 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'(
% 1.25/1.66 'tc_nat' ) ] )
% 1.25/1.66 , clause( 3064, [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' )
% 1.25/1.66 ] )
% 1.25/1.66 , clause( 3065, [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.25/1.66 'tc_nat' ) ] )
% 1.25/1.66 , clause( 3066, [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 1.25/1.66 'tc_nat' ) ] )
% 1.25/1.66 , clause( 3067, [ 'class_LOrder_Omeet__semilorder'( 'tc_nat' ) ] )
% 1.25/1.66 , clause( 3068, [ 'class_Ring__and__Field_Opordered__comm__semiring'(
% 1.25/1.66 'tc_nat' ) ] )
% 1.25/1.66 , clause( 3069, [
% 1.25/1.66 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( 'tc_nat' ) ]
% 1.25/1.66 )
% 1.25/1.66 , clause( 3070, [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.25/1.66 'tc_nat' ) ] )
% 1.25/1.66 , clause( 3071, [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ]
% 1.25/1.66 )
% 1.25/1.66 , clause( 3072, [ 'class_Divides_Odiv'( 'tc_nat' ) ] )
% 1.25/1.66 , clause( 3073, [ 'class_Power_Orecpower'( 'tc_nat' ) ] )
% 1.25/1.66 , clause( 3074, [ 'class_Numeral_Onumber'( 'tc_nat' ) ] )
% 1.25/1.66 , clause( 3075, [ 'class_Parity_Oeven__odd'( 'tc_nat' ) ] )
% 1.25/1.66 , clause( 3076, [ 'class_LOrder_Ojoin__semilorder'( 'tc_nat' ) ] )
% 1.25/1.66 , clause( 3077, [ 'class_LOrder_Olorder'( 'tc_nat' ) ] )
% 1.25/1.66 , clause( 3078, [ 'class_Orderings_Olinorder'( 'tc_nat' ) ] )
% 1.25/1.66 , clause( 3079, [ 'class_Wellfounded__Recursion_Owellorder'( 'tc_nat' ) ]
% 1.25/1.66 )
% 1.25/1.66 , clause( 3080, [ 'class_HOL_Ominus'( 'tc_nat' ) ] )
% 1.25/1.66 , clause( 3081, [ 'class_Finite__Set_Ofinite'( 'tc_prod'( X, Y ) ), ~(
% 1.25/1.66 'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 1.25/1.66 ] )
% 1.25/1.66 , clause( 3082, [ 'class_HOL_Ominus'( 'tc_set'( X ) ) ] )
% 1.25/1.66 , clause( 3083, [ 'class_Orderings_Oord'( 'tc_set'( X ) ) ] )
% 1.25/1.66 , clause( 3084, [ 'class_Orderings_Oorder'( 'tc_set'( X ) ) ] )
% 1.25/1.66 , clause( 3085, [ 'class_Finite__Set_Ofinite'( 'tc_set'( X ) ), ~(
% 1.25/1.66 'class_Finite__Set_Ofinite'( X ) ) ] )
% 1.25/1.66 , clause( 3086, [ 'class_Nat_Opower'( 'tc_set'( X ) ) ] )
% 1.25/1.66 , clause( 3087, [ 'class_Finite__Set_Ofinite'( 'tc_sum'( X, Y ) ), ~(
% 1.25/1.66 'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 1.25/1.66 ] )
% 1.25/1.66 , clause( 3088, [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ),
% 1.25/1.66 'class_Orderings_Oord'( X ) ] )
% 1.25/1.66 , clause( 3089, [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ),
% 1.25/1.66 'class_Orderings_Oorder'( X ) ] )
% 1.25/1.66 , clause( 3090, [ ~( 'class_LOrder_Olorder'( X ) ),
% 1.25/1.66 'class_LOrder_Omeet__semilorder'( X ) ] )
% 1.25/1.66 , clause( 3091, [ ~( 'class_LOrder_Olorder'( X ) ), 'class_Orderings_Oord'(
% 1.25/1.66 X ) ] )
% 1.25/1.66 , clause( 3092, [ ~( 'class_LOrder_Olorder'( X ) ),
% 1.25/1.66 'class_Orderings_Oorder'( X ) ] )
% 1.25/1.66 , clause( 3093, [ ~( 'class_LOrder_Olorder'( X ) ),
% 1.25/1.66 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 1.25/1.66 , clause( 3094, [ ~( 'class_LOrder_Omeet__semilorder'( X ) ),
% 1.25/1.66 'class_Orderings_Oord'( X ) ] )
% 1.25/1.66 , clause( 3095, [ ~( 'class_LOrder_Omeet__semilorder'( X ) ),
% 1.25/1.66 'class_Orderings_Oorder'( X ) ] )
% 1.25/1.66 , clause( 3096, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.25/1.66 'class_HOL_Oplus'( X ) ] )
% 1.25/1.66 , clause( 3097, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3098, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.25/1.66 , clause( 3099, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 1.25/1.66 , clause( 3100, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.25/1.66 'class_HOL_Ominus'( X ) ] )
% 1.25/1.66 , clause( 3101, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3102, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3103, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 1.25/1.66 , clause( 3104, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 1.25/1.66 , clause( 3105, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Oring'( X ) ] )
% 1.25/1.66 , clause( 3106, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 1.25/1.66 , clause( 3107, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 1.25/1.66 , clause( 3108, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3109, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_HOL_Oone'(
% 1.25/1.66 X ) ] )
% 1.25/1.66 , clause( 3110, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 1.25/1.66 , clause( 3111, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 1.25/1.66 , clause( 3112, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 1.25/1.66 , clause( 3113, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 1.25/1.66 , clause( 3114, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 1.25/1.66 , clause( 3115, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 1.25/1.66 , clause( 3116, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Oring__1'( X ) ] )
% 1.25/1.66 , clause( 3117, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 1.25/1.66 , clause( 3118, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 1.25/1.66 , clause( 3119, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.25/1.66 'class_HOL_Otimes'( X ) ] )
% 1.25/1.66 , clause( 3120, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.25/1.66 'class_Numeral_Onumber'( X ) ] )
% 1.25/1.66 , clause( 3121, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.25/1.66 , clause( 3122, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 1.25/1.66 , clause( 3123, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.25/1.66 , clause( 3124, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 1.25/1.66 , clause( 3125, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.25/1.66 'class_HOL_Ozero'( X ) ] )
% 1.25/1.66 , clause( 3126, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.66 , clause( 3127, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 1.25/1.66 'class_HOL_Ominus'( X ) ] )
% 1.25/1.66 , clause( 3128, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.66 , clause( 3129, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 1.25/1.66 'class_HOL_Ozero'( X ) ] )
% 1.25/1.66 , clause( 3130, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3131, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3132, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 1.25/1.66 'class_HOL_Oplus'( X ) ] )
% 1.25/1.66 , clause( 3133, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3134, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3135, [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3136, [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ),
% 1.25/1.66 'class_HOL_Oplus'( X ) ] )
% 1.25/1.66 , clause( 3137, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.25/1.66 , clause( 3138, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ),
% 1.25/1.66 'class_HOL_Otimes'( X ) ] )
% 1.25/1.66 , clause( 3139, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X )
% 1.25/1.66 ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3140, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X )
% 1.25/1.66 ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3141, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X )
% 1.25/1.66 ), 'class_HOL_Oplus'( X ) ] )
% 1.25/1.66 , clause( 3142, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X )
% 1.25/1.66 ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3143, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3144, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ),
% 1.25/1.66 'class_HOL_Oplus'( X ) ] )
% 1.25/1.66 , clause( 3145, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.25/1.66 'class_HOL_Ozero'( X ) ] )
% 1.25/1.66 , clause( 3146, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3147, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3148, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.25/1.66 'class_HOL_Oplus'( X ) ] )
% 1.25/1.66 , clause( 3149, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 1.25/1.66 'class_HOL_Oone'( X ) ] )
% 1.25/1.66 , clause( 3150, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 1.25/1.66 , clause( 3151, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.25/1.66 , clause( 3152, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 1.25/1.66 'class_HOL_Otimes'( X ) ] )
% 1.25/1.66 , clause( 3153, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 1.25/1.66 , clause( 3154, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 1.25/1.66 , clause( 3155, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 1.25/1.66 , clause( 3156, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3157, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3158, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3159, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3160, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.25/1.66 'class_HOL_Oplus'( X ) ] )
% 1.25/1.66 , clause( 3161, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.25/1.66 'class_LOrder_Olorder'( X ) ] )
% 1.25/1.66 , clause( 3162, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.25/1.66 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 1.25/1.66 , clause( 3163, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.25/1.66 'class_LOrder_Omeet__semilorder'( X ) ] )
% 1.25/1.66 , clause( 3164, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.25/1.66 'class_HOL_Ominus'( X ) ] )
% 1.25/1.66 , clause( 3165, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.66 , clause( 3166, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.25/1.66 'class_HOL_Ozero'( X ) ] )
% 1.25/1.66 , clause( 3167, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 1.25/1.66 , clause( 3168, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3169, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3170, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.25/1.66 'class_Orderings_Oorder'( X ) ] )
% 1.25/1.66 , clause( 3171, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.25/1.66 'class_Orderings_Oord'( X ) ] )
% 1.25/1.66 , clause( 3172, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.25/1.66 , 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 1.25/1.66 , clause( 3173, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.25/1.66 , 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 1.25/1.66 , clause( 3174, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.25/1.66 , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3175, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.25/1.66 , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3176, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.25/1.66 , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3177, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.25/1.66 , 'class_HOL_Oplus'( X ) ] )
% 1.25/1.66 , clause( 3178, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.25/1.66 , 'class_LOrder_Olorder'( X ) ] )
% 1.25/1.66 , clause( 3179, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.25/1.66 , 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 1.25/1.66 , clause( 3180, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.25/1.66 , 'class_LOrder_Omeet__semilorder'( X ) ] )
% 1.25/1.66 , clause( 3181, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.25/1.66 , 'class_Orderings_Oorder'( X ) ] )
% 1.25/1.66 , clause( 3182, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.25/1.66 , 'class_Orderings_Oord'( X ) ] )
% 1.25/1.66 , clause( 3183, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.25/1.66 , 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 1.25/1.66 , clause( 3184, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.25/1.66 , 'class_HOL_Ominus'( X ) ] )
% 1.25/1.66 , clause( 3185, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.25/1.66 , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.66 , clause( 3186, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.25/1.66 , 'class_HOL_Ozero'( X ) ] )
% 1.25/1.66 , clause( 3187, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.25/1.66 , 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 1.25/1.66 , clause( 3188, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.25/1.66 , 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3189, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.25/1.66 , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3190, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.25/1.66 , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3191, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 1.25/1.66 , 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 1.25/1.66 , clause( 3192, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 1.25/1.66 , 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 1.25/1.66 , clause( 3193, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 1.25/1.66 , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3194, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 1.25/1.66 , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3195, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 1.25/1.66 , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3196, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 1.25/1.66 , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3197, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 1.25/1.66 , 'class_HOL_Oplus'( X ) ] )
% 1.25/1.66 , clause( 3198, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 1.25/1.66 , 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 1.25/1.66 , clause( 3199, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 1.25/1.66 , 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 1.25/1.66 , clause( 3200, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 1.25/1.66 , 'class_LOrder_Olorder'( X ) ] )
% 1.25/1.66 , clause( 3201, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 1.25/1.66 , 'class_LOrder_Omeet__semilorder'( X ) ] )
% 1.25/1.66 , clause( 3202, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 1.25/1.66 , 'class_HOL_Ominus'( X ) ] )
% 1.25/1.66 , clause( 3203, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 1.25/1.66 , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.66 , clause( 3204, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 1.25/1.66 , 'class_HOL_Ozero'( X ) ] )
% 1.25/1.66 , clause( 3205, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 1.25/1.66 , 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 1.25/1.66 , clause( 3206, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 1.25/1.66 , 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3207, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 1.25/1.66 , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3208, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 1.25/1.66 , 'class_Orderings_Oorder'( X ) ] )
% 1.25/1.66 , clause( 3209, [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) )
% 1.25/1.66 , 'class_Orderings_Oord'( X ) ] )
% 1.25/1.66 , clause( 3210, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 1.25/1.66 , 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 1.25/1.66 , clause( 3211, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 1.25/1.66 , 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 1.25/1.66 , clause( 3212, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 1.25/1.66 , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3213, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 1.25/1.66 , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3214, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 1.25/1.66 , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3215, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 1.25/1.66 , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3216, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 1.25/1.66 , 'class_HOL_Oplus'( X ) ] )
% 1.25/1.66 , clause( 3217, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 1.25/1.66 , 'class_LOrder_Omeet__semilorder'( X ) ] )
% 1.25/1.66 , clause( 3218, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 1.25/1.66 , 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 1.25/1.66 , clause( 3219, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 1.25/1.66 , 'class_LOrder_Olorder'( X ) ] )
% 1.25/1.66 , clause( 3220, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 1.25/1.66 , 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 1.25/1.66 , clause( 3221, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 1.25/1.66 , 'class_HOL_Ominus'( X ) ] )
% 1.25/1.66 , clause( 3222, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 1.25/1.66 , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.66 , clause( 3223, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 1.25/1.66 , 'class_HOL_Ozero'( X ) ] )
% 1.25/1.66 , clause( 3224, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 1.25/1.66 , 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 1.25/1.66 , clause( 3225, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 1.25/1.66 , 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3226, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 1.25/1.66 , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3227, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 1.25/1.66 , 'class_Orderings_Oorder'( X ) ] )
% 1.25/1.66 , clause( 3228, [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) )
% 1.25/1.66 , 'class_Orderings_Oord'( X ) ] )
% 1.25/1.66 , clause( 3229, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ),
% 1.25/1.66 'class_HOL_Oone'( X ) ] )
% 1.25/1.66 , clause( 3230, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.25/1.66 , clause( 3231, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ),
% 1.25/1.66 'class_HOL_Otimes'( X ) ] )
% 1.25/1.66 , clause( 3232, [ ~(
% 1.25/1.66 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3233, [ ~(
% 1.25/1.66 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3234, [ ~(
% 1.25/1.66 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.25/1.66 'class_LOrder_Olorder'( X ) ] )
% 1.25/1.66 , clause( 3235, [ ~(
% 1.25/1.66 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.25/1.66 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 1.25/1.66 , clause( 3236, [ ~(
% 1.25/1.66 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.25/1.66 'class_LOrder_Omeet__semilorder'( X ) ] )
% 1.25/1.66 , clause( 3237, [ ~(
% 1.25/1.66 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 1.25/1.66 , clause( 3238, [ ~(
% 1.25/1.66 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.25/1.66 'class_Orderings_Oorder'( X ) ] )
% 1.25/1.66 , clause( 3239, [ ~(
% 1.25/1.66 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.25/1.66 'class_Orderings_Oord'( X ) ] )
% 1.25/1.66 , clause( 3240, [ ~(
% 1.25/1.66 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3241, [ ~(
% 1.25/1.66 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3242, [ ~(
% 1.25/1.66 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3243, [ ~(
% 1.25/1.66 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3244, [ ~(
% 1.25/1.66 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.25/1.66 'class_HOL_Oplus'( X ) ] )
% 1.25/1.66 , clause( 3245, [ ~(
% 1.25/1.66 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.25/1.66 'class_Orderings_Olinorder'( X ) ] )
% 1.25/1.66 , clause( 3246, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.25/1.66 , 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 1.25/1.66 , clause( 3247, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.25/1.66 , 'class_HOL_Ominus'( X ) ] )
% 1.25/1.66 , clause( 3248, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.25/1.66 , 'class_Orderings_Oorder'( X ) ] )
% 1.25/1.66 , clause( 3249, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.25/1.66 , 'class_Orderings_Oord'( X ) ] )
% 1.25/1.66 , clause( 3250, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.25/1.66 , 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 1.25/1.66 , clause( 3251, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.25/1.66 , 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3252, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.25/1.66 , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.66 , clause( 3253, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.25/1.66 , 'class_HOL_Ozero'( X ) ] )
% 1.25/1.66 , clause( 3254, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.25/1.66 , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3255, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.25/1.66 , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3256, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.25/1.66 , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3257, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.25/1.66 , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3258, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.25/1.66 , 'class_HOL_Oplus'( X ) ] )
% 1.25/1.66 , clause( 3259, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.25/1.66 , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3260, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 1.25/1.66 ) ), 'class_Orderings_Oorder'( X ) ] )
% 1.25/1.66 , clause( 3261, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 1.25/1.66 ) ), 'class_Orderings_Oord'( X ) ] )
% 1.25/1.66 , clause( 3262, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 1.25/1.66 ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3263, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 1.25/1.66 ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3264, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 1.25/1.66 ) ), 'class_HOL_Oplus'( X ) ] )
% 1.25/1.66 , clause( 3265, [ ~(
% 1.25/1.66 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3266, [ ~(
% 1.25/1.66 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3267, [ ~(
% 1.25/1.66 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 1.25/1.66 'class_Orderings_Oorder'( X ) ] )
% 1.25/1.66 , clause( 3268, [ ~(
% 1.25/1.66 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 1.25/1.66 'class_Orderings_Oord'( X ) ] )
% 1.25/1.66 , clause( 3269, [ ~(
% 1.25/1.66 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3270, [ ~(
% 1.25/1.66 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3271, [ ~(
% 1.25/1.66 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3272, [ ~(
% 1.25/1.66 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3273, [ ~(
% 1.25/1.66 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 1.25/1.66 'class_HOL_Oplus'( X ) ] )
% 1.25/1.66 , clause( 3274, [ ~(
% 1.25/1.66 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3275, [ ~(
% 1.25/1.66 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.25/1.66 'class_Orderings_Oorder'( X ) ] )
% 1.25/1.66 , clause( 3276, [ ~(
% 1.25/1.66 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.25/1.66 'class_Orderings_Oord'( X ) ] )
% 1.25/1.66 , clause( 3277, [ ~(
% 1.25/1.66 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3278, [ ~(
% 1.25/1.66 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3279, [ ~(
% 1.25/1.66 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.25/1.66 'class_HOL_Oplus'( X ) ] )
% 1.25/1.66 , clause( 3280, [ ~(
% 1.25/1.66 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3281, [ ~(
% 1.25/1.66 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3282, [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ),
% 1.25/1.66 'class_HOL_Oplus'( X ) ] )
% 1.25/1.66 , clause( 3283, [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ),
% 1.25/1.66 'class_HOL_Otimes'( X ) ] )
% 1.25/1.66 , clause( 3284, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 1.25/1.66 'class_LOrder_Olorder'( X ) ] )
% 1.25/1.66 , clause( 3285, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 1.25/1.66 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 1.25/1.66 , clause( 3286, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 1.25/1.66 'class_LOrder_Omeet__semilorder'( X ) ] )
% 1.25/1.66 , clause( 3287, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 1.25/1.66 'class_Orderings_Oord'( X ) ] )
% 1.25/1.66 , clause( 3288, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 1.25/1.66 'class_Orderings_Oorder'( X ) ] )
% 1.25/1.66 , clause( 3289, [ ~( 'class_Orderings_Oorder'( X ) ),
% 1.25/1.66 'class_Orderings_Oord'( X ) ] )
% 1.25/1.66 , clause( 3290, [ ~( 'class_Power_Orecpower'( X ) ), 'class_Nat_Opower'( X
% 1.25/1.66 ) ] )
% 1.25/1.66 , clause( 3291, [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Ozero'( X )
% 1.25/1.66 ] )
% 1.25/1.66 , clause( 3292, [ ~( 'class_Power_Orecpower'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.25/1.66 , clause( 3293, [ ~( 'class_Power_Orecpower'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 1.25/1.66 , clause( 3294, [ ~( 'class_Power_Orecpower'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.66 , clause( 3295, [ ~( 'class_Power_Orecpower'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.25/1.66 , clause( 3296, [ ~( 'class_Power_Orecpower'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 1.25/1.66 , clause( 3297, [ ~( 'class_Power_Orecpower'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 1.25/1.66 , clause( 3298, [ ~( 'class_Power_Orecpower'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 1.25/1.66 , clause( 3299, [ ~( 'class_Power_Orecpower'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 1.25/1.66 , clause( 3300, [ ~( 'class_Power_Orecpower'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 1.25/1.66 , clause( 3301, [ ~( 'class_Power_Orecpower'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3302, [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Oone'( X )
% 1.25/1.66 ] )
% 1.25/1.66 , clause( 3303, [ ~( 'class_Power_Orecpower'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3304, [ ~( 'class_Power_Orecpower'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 1.25/1.66 , clause( 3305, [ ~( 'class_Power_Orecpower'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 1.25/1.66 , clause( 3306, [ ~( 'class_Power_Orecpower'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 1.25/1.66 , clause( 3307, [ ~( 'class_Power_Orecpower'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 1.25/1.66 , clause( 3308, [ ~( 'class_Power_Orecpower'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 1.25/1.66 , clause( 3309, [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Oplus'( X )
% 1.25/1.66 ] )
% 1.25/1.66 , clause( 3310, [ ~( 'class_Power_Orecpower'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3311, [ ~( 'class_Power_Orecpower'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3312, [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Otimes'( X
% 1.25/1.66 ) ] )
% 1.25/1.66 , clause( 3313, [ ~( 'class_Power_Orecpower'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.25/1.66 , clause( 3314, [ ~( 'class_Power_Orecpower'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 1.25/1.66 , clause( 3315, [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ),
% 1.25/1.66 'class_HOL_Ozero'( X ) ] )
% 1.25/1.66 , clause( 3316, [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ),
% 1.25/1.66 'class_HOL_Oone'( X ) ] )
% 1.25/1.66 , clause( 3317, [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ),
% 1.25/1.66 'class_HOL_Ominus'( X ) ] )
% 1.25/1.66 , clause( 3318, [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ),
% 1.25/1.66 'class_Orderings_Oord'( X ) ] )
% 1.25/1.66 , clause( 3319, [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ),
% 1.25/1.66 'class_HOL_Ozero'( X ) ] )
% 1.25/1.66 , clause( 3320, [ ~( 'class_Ring__and__Field_Oaxclass__no__zero__divisors'(
% 1.25/1.66 X ) ), 'class_HOL_Ozero'( X ) ] )
% 1.25/1.66 , clause( 3321, [ ~( 'class_Ring__and__Field_Oaxclass__no__zero__divisors'(
% 1.25/1.66 X ) ), 'class_HOL_Otimes'( X ) ] )
% 1.25/1.66 , clause( 3322, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 1.25/1.66 , clause( 3323, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 1.25/1.66 , clause( 3324, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.25/1.66 'class_HOL_Oplus'( X ) ] )
% 1.25/1.66 , clause( 3325, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.25/1.66 'class_HOL_Ozero'( X ) ] )
% 1.25/1.66 , clause( 3326, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 1.25/1.66 , clause( 3327, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.25/1.66 'class_HOL_Ominus'( X ) ] )
% 1.25/1.66 , clause( 3328, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3329, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3330, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Oring'( X ) ] )
% 1.25/1.66 , clause( 3331, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 1.25/1.66 , clause( 3332, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 1.25/1.66 , clause( 3333, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 1.25/1.66 , clause( 3334, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.25/1.66 , clause( 3335, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.25/1.66 , clause( 3336, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.25/1.66 , clause( 3337, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.25/1.66 'class_HOL_Otimes'( X ) ] )
% 1.25/1.66 , clause( 3338, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.66 , clause( 3339, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3340, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3341, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 1.25/1.66 , clause( 3342, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Oring'( X ) ] )
% 1.25/1.66 , clause( 3343, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.25/1.66 , clause( 3344, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.25/1.66 , clause( 3345, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.25/1.66 'class_HOL_Otimes'( X ) ] )
% 1.25/1.66 , clause( 3346, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.66 , clause( 3347, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.25/1.66 'class_HOL_Ozero'( X ) ] )
% 1.25/1.66 , clause( 3348, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3349, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3350, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3351, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3352, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.25/1.66 'class_HOL_Oplus'( X ) ] )
% 1.25/1.66 , clause( 3353, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 1.25/1.66 , clause( 3354, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 1.25/1.66 , clause( 3355, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 1.25/1.66 , clause( 3356, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 1.25/1.66 , clause( 3357, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 1.25/1.66 , clause( 3358, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 1.25/1.66 , clause( 3359, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.25/1.66 'class_HOL_Oone'( X ) ] )
% 1.25/1.66 , clause( 3360, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Oring__1'( X ) ] )
% 1.25/1.66 , clause( 3361, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 1.25/1.66 , clause( 3362, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 1.25/1.66 , clause( 3363, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.25/1.66 'class_HOL_Ominus'( X ) ] )
% 1.25/1.66 , clause( 3364, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 1.25/1.66 , clause( 3365, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 1.25/1.66 , clause( 3366, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 1.25/1.66 , clause( 3367, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 1.25/1.66 , clause( 3368, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 1.25/1.66 , clause( 3369, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.25/1.66 , clause( 3370, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3371, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3372, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 1.25/1.66 'class_HOL_Oplus'( X ) ] )
% 1.25/1.66 , clause( 3373, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 1.25/1.66 , clause( 3374, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.25/1.66 , clause( 3375, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 1.25/1.66 'class_HOL_Otimes'( X ) ] )
% 1.25/1.66 , clause( 3376, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.25/1.66 , clause( 3377, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 1.25/1.66 , clause( 3378, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 1.25/1.66 , clause( 3379, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.25/1.66 , clause( 3380, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.25/1.66 , clause( 3381, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3382, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3383, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.25/1.66 'class_HOL_Oplus'( X ) ] )
% 1.25/1.66 , clause( 3384, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.25/1.66 , clause( 3385, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.25/1.66 'class_HOL_Otimes'( X ) ] )
% 1.25/1.66 , clause( 3386, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.66 , clause( 3387, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.25/1.66 'class_HOL_Ozero'( X ) ] )
% 1.25/1.66 , clause( 3388, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X
% 1.25/1.66 ) ), 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 1.25/1.66 , clause( 3389, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X
% 1.25/1.66 ) ), 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 1.25/1.66 , clause( 3390, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X
% 1.25/1.66 ) ), 'class_HOL_Oplus'( X ) ] )
% 1.25/1.66 , clause( 3391, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X
% 1.25/1.66 ) ), 'class_HOL_Ozero'( X ) ] )
% 1.25/1.66 , clause( 3392, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X
% 1.25/1.66 ) ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3393, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X
% 1.25/1.66 ) ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3394, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X
% 1.25/1.66 ) ), 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 1.25/1.66 , clause( 3395, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X
% 1.25/1.66 ) ), 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 1.25/1.66 , clause( 3396, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X
% 1.25/1.66 ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.25/1.66 , clause( 3397, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X
% 1.25/1.66 ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.25/1.66 , clause( 3398, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X
% 1.25/1.66 ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.25/1.66 , clause( 3399, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X
% 1.25/1.66 ) ), 'class_HOL_Otimes'( X ) ] )
% 1.25/1.66 , clause( 3400, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X
% 1.25/1.66 ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.66 , clause( 3401, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X
% 1.25/1.66 ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3402, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X
% 1.25/1.66 ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3403, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 1.25/1.66 , clause( 3404, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.25/1.66 'class_HOL_Ozero'( X ) ] )
% 1.25/1.66 , clause( 3405, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.66 , clause( 3406, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3407, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3408, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.25/1.66 'class_HOL_Oplus'( X ) ] )
% 1.25/1.66 , clause( 3409, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 1.25/1.66 , clause( 3410, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 1.25/1.66 , clause( 3411, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 1.25/1.66 , clause( 3412, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.25/1.66 'class_HOL_Oone'( X ) ] )
% 1.25/1.66 , clause( 3413, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 1.25/1.66 , clause( 3414, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 1.25/1.66 , clause( 3415, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 1.25/1.66 , clause( 3416, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.25/1.66 , clause( 3417, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.25/1.66 , clause( 3418, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.25/1.66 , clause( 3419, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.25/1.66 'class_HOL_Otimes'( X ) ] )
% 1.25/1.66 , clause( 3420, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.25/1.66 ) ), 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 1.25/1.66 , clause( 3421, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.25/1.66 ) ), 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 1.25/1.66 , clause( 3422, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.25/1.66 ) ), 'class_HOL_Ozero'( X ) ] )
% 1.25/1.66 , clause( 3423, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.25/1.66 ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3424, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.25/1.66 ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3425, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.25/1.66 ) ), 'class_HOL_Oplus'( X ) ] )
% 1.25/1.66 , clause( 3426, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.25/1.66 ) ), 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 1.25/1.66 , clause( 3427, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.25/1.66 ) ), 'class_HOL_Oone'( X ) ] )
% 1.25/1.66 , clause( 3428, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.25/1.66 ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.25/1.66 , clause( 3429, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.25/1.66 ) ), 'class_HOL_Otimes'( X ) ] )
% 1.25/1.66 , clause( 3430, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.25/1.66 ) ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3431, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.25/1.66 ) ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3432, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.25/1.66 ) ), 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 1.25/1.66 , clause( 3433, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.25/1.66 ) ), 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 1.25/1.66 , clause( 3434, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.25/1.66 ) ), 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 1.25/1.66 , clause( 3435, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.25/1.66 ) ), 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 1.25/1.66 , clause( 3436, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.25/1.66 ) ), 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 1.25/1.66 , clause( 3437, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.25/1.66 ) ), 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 1.25/1.66 , clause( 3438, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.25/1.66 ) ), 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 1.25/1.66 , clause( 3439, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.25/1.66 ) ), 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 1.25/1.66 , clause( 3440, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.25/1.66 ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.25/1.66 , clause( 3441, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.25/1.66 ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.25/1.66 , clause( 3442, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.25/1.66 ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.66 , clause( 3443, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.66 'class_HOL_Ozero'( X ) ] )
% 1.25/1.66 , clause( 3444, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.66 'class_HOL_Oinverse'( X ) ] )
% 1.25/1.66 , clause( 3445, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 1.25/1.66 , clause( 3446, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 1.25/1.66 , clause( 3447, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 1.25/1.66 , clause( 3448, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 1.25/1.66 , clause( 3449, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 1.25/1.66 , clause( 3450, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.25/1.66 'class_HOL_Oone'( X ) ] )
% 1.25/1.66 , clause( 3451, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 1.25/1.66 , clause( 3452, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 1.25/1.66 , clause( 3453, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 1.25/1.66 , clause( 3454, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 1.25/1.66 , clause( 3455, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 1.25/1.66 , clause( 3456, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.25/1.66 , clause( 3457, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Oring__1'( X ) ] )
% 1.25/1.66 , clause( 3458, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.25/1.66 , clause( 3459, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.25/1.66 , clause( 3460, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.25/1.66 'class_HOL_Otimes'( X ) ] )
% 1.25/1.66 , clause( 3461, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.66 , clause( 3462, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.25/1.66 'class_HOL_Ozero'( X ) ] )
% 1.25/1.66 , clause( 3463, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3464, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3465, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3466, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3467, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.25/1.66 'class_HOL_Oplus'( X ) ] )
% 1.25/1.66 , clause( 3468, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Oring'( X ) ] )
% 1.25/1.66 , clause( 3469, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.25/1.66 'class_HOL_Oinverse'( X ) ] )
% 1.25/1.66 , clause( 3470, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Oidom'( X ) ] )
% 1.25/1.66 , clause( 3471, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 1.25/1.66 , clause( 3472, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 1.25/1.66 , clause( 3473, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.25/1.66 'class_HOL_Ominus'( X ) ] )
% 1.25/1.66 , clause( 3474, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 1.25/1.66 , clause( 3475, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 1.25/1.66 , clause( 3476, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 1.25/1.66 , clause( 3477, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 1.25/1.66 , clause( 3478, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 1.25/1.66 , clause( 3479, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 1.25/1.66 , clause( 3480, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 1.25/1.66 , clause( 3481, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 1.25/1.66 , clause( 3482, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 1.25/1.66 , clause( 3483, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.25/1.66 'class_HOL_Oone'( X ) ] )
% 1.25/1.66 , clause( 3484, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 1.25/1.66 , clause( 3485, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 1.25/1.66 , clause( 3486, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 1.25/1.66 , clause( 3487, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 1.25/1.66 , clause( 3488, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 1.25/1.66 , clause( 3489, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.25/1.66 , clause( 3490, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Oring__1'( X ) ] )
% 1.25/1.66 , clause( 3491, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.25/1.66 , clause( 3492, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.25/1.66 , clause( 3493, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.25/1.66 'class_HOL_Otimes'( X ) ] )
% 1.25/1.66 , clause( 3494, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.66 , clause( 3495, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.25/1.66 'class_HOL_Ozero'( X ) ] )
% 1.25/1.66 , clause( 3496, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3497, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3498, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3499, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3500, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.25/1.66 'class_HOL_Oplus'( X ) ] )
% 1.25/1.66 , clause( 3501, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Oring'( X ) ] )
% 1.25/1.66 , clause( 3502, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 1.25/1.66 , clause( 3503, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 1.25/1.66 , clause( 3504, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.25/1.66 'class_HOL_Ominus'( X ) ] )
% 1.25/1.66 , clause( 3505, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 1.25/1.66 , clause( 3506, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 1.25/1.66 , clause( 3507, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 1.25/1.66 , clause( 3508, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 1.25/1.66 , clause( 3509, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Opordered__ring'( X ) ] )
% 1.25/1.66 , clause( 3510, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Oring'( X ) ] )
% 1.25/1.66 , clause( 3511, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.25/1.66 'class_Orderings_Oorder'( X ) ] )
% 1.25/1.66 , clause( 3512, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.25/1.66 'class_Orderings_Oord'( X ) ] )
% 1.25/1.66 , clause( 3513, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 1.25/1.66 , clause( 3514, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.25/1.66 , clause( 3515, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.25/1.66 , clause( 3516, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.25/1.66 , clause( 3517, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.25/1.66 'class_HOL_Otimes'( X ) ] )
% 1.25/1.66 , clause( 3518, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.66 , clause( 3519, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.25/1.66 'class_HOL_Ozero'( X ) ] )
% 1.25/1.66 , clause( 3520, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3521, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 1.25/1.66 , clause( 3522, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3523, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3524, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3525, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.25/1.66 'class_HOL_Oplus'( X ) ] )
% 1.25/1.66 , clause( 3526, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 1.25/1.66 , clause( 3527, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 1.25/1.66 , clause( 3528, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.25/1.66 'class_LOrder_Olorder'( X ) ] )
% 1.25/1.66 , clause( 3529, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.25/1.66 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 1.25/1.66 , clause( 3530, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.25/1.66 'class_LOrder_Omeet__semilorder'( X ) ] )
% 1.25/1.66 , clause( 3531, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ] )
% 1.25/1.66 , clause( 3532, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 1.25/1.66 , clause( 3533, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Olordered__ab__group__join'( X ) ] )
% 1.25/1.66 , clause( 3534, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.25/1.66 'class_HOL_Ominus'( X ) ] )
% 1.25/1.66 , clause( 3535, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 1.25/1.66 , clause( 3536, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3537, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 1.25/1.66 , clause( 3538, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 1.25/1.66 , clause( 3539, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3540, [ ~(
% 1.25/1.66 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 1.25/1.66 , clause( 3541, [ ~(
% 1.25/1.66 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 1.25/1.66 , clause( 3542, [ ~(
% 1.25/1.66 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.25/1.66 'class_HOL_Oplus'( X ) ] )
% 1.25/1.66 , clause( 3543, [ ~(
% 1.25/1.66 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.25/1.66 'class_HOL_Ozero'( X ) ] )
% 1.25/1.66 , clause( 3544, [ ~(
% 1.25/1.66 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3545, [ ~(
% 1.25/1.66 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.25/1.66 'class_Orderings_Olinorder'( X ) ] )
% 1.25/1.66 , clause( 3546, [ ~(
% 1.25/1.66 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.25/1.66 'class_LOrder_Olorder'( X ) ] )
% 1.25/1.66 , clause( 3547, [ ~(
% 1.25/1.66 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.25/1.66 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 1.25/1.66 , clause( 3548, [ ~(
% 1.25/1.66 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.25/1.66 'class_LOrder_Omeet__semilorder'( X ) ] )
% 1.25/1.66 , clause( 3549, [ ~(
% 1.25/1.66 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 1.25/1.66 , clause( 3550, [ ~(
% 1.25/1.66 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3551, [ ~(
% 1.25/1.66 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3552, [ ~(
% 1.25/1.66 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 1.25/1.66 , clause( 3553, [ ~(
% 1.25/1.66 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.25/1.66 'class_Orderings_Oorder'( X ) ] )
% 1.25/1.66 , clause( 3554, [ ~(
% 1.25/1.66 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.25/1.66 'class_Orderings_Oord'( X ) ] )
% 1.25/1.66 , clause( 3555, [ ~(
% 1.25/1.66 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3556, [ ~(
% 1.25/1.66 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3557, [ ~(
% 1.25/1.66 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 1.25/1.66 , clause( 3558, [ ~(
% 1.25/1.66 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 1.25/1.66 , clause( 3559, [ ~(
% 1.25/1.66 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 1.25/1.66 , clause( 3560, [ ~(
% 1.25/1.66 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 1.25/1.66 , clause( 3561, [ ~(
% 1.25/1.66 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ] )
% 1.25/1.66 , clause( 3562, [ ~(
% 1.25/1.66 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 1.25/1.66 , clause( 3563, [ ~(
% 1.25/1.66 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.25/1.66 , clause( 3564, [ ~(
% 1.25/1.66 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.25/1.66 , clause( 3565, [ ~(
% 1.25/1.66 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.25/1.66 , clause( 3566, [ ~(
% 1.25/1.66 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.25/1.66 'class_HOL_Otimes'( X ) ] )
% 1.25/1.66 , clause( 3567, [ ~(
% 1.25/1.66 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.66 , clause( 3568, [ ~(
% 1.25/1.66 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3569, [ ~(
% 1.25/1.66 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3570, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Ofield'( X ) ] )
% 1.25/1.66 , clause( 3571, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.66 'class_HOL_Oinverse'( X ) ] )
% 1.25/1.66 , clause( 3572, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 1.25/1.66 , clause( 3573, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 1.25/1.66 , clause( 3574, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 1.25/1.66 , clause( 3575, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 1.25/1.66 , clause( 3576, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 1.25/1.66 , clause( 3577, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 1.25/1.66 , clause( 3578, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.66 'class_HOL_Oone'( X ) ] )
% 1.25/1.66 , clause( 3579, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 1.25/1.66 , clause( 3580, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 1.25/1.66 , clause( 3581, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 1.25/1.66 , clause( 3582, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Oidom'( X ) ] )
% 1.25/1.66 , clause( 3583, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 1.25/1.66 , clause( 3584, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 1.25/1.66 , clause( 3585, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.25/1.66 , clause( 3586, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.25/1.66 , clause( 3587, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.25/1.66 , clause( 3588, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.66 , clause( 3589, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3590, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3591, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3592, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3593, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 1.25/1.66 , clause( 3594, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.66 'class_HOL_Oplus'( X ) ] )
% 1.25/1.66 , clause( 3595, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 1.25/1.66 , clause( 3596, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.66 'class_HOL_Ozero'( X ) ] )
% 1.25/1.66 , clause( 3597, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.66 'class_HOL_Otimes'( X ) ] )
% 1.25/1.66 , clause( 3598, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Oordered__idom'( X ) ] )
% 1.25/1.66 , clause( 3599, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ] )
% 1.25/1.66 , clause( 3600, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ] )
% 1.25/1.66 , clause( 3601, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 1.25/1.66 , clause( 3602, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Oordered__ring__strict'( X ) ] )
% 1.25/1.66 , clause( 3603, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 1.25/1.66 , clause( 3604, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 1.25/1.66 , clause( 3605, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3606, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.66 'class_Orderings_Olinorder'( X ) ] )
% 1.25/1.66 , clause( 3607, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ] )
% 1.25/1.66 , clause( 3608, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Olordered__ring'( X ) ] )
% 1.25/1.66 , clause( 3609, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Opordered__ring'( X ) ] )
% 1.25/1.66 , clause( 3610, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 1.25/1.66 , clause( 3611, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 1.25/1.66 , clause( 3612, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 1.25/1.66 , clause( 3613, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ] )
% 1.25/1.66 , clause( 3614, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Olordered__ab__group__join'( X ) ] )
% 1.25/1.66 , clause( 3615, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Oring__1'( X ) ] )
% 1.25/1.66 , clause( 3616, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 1.25/1.66 , clause( 3617, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.66 'class_LOrder_Olorder'( X ) ] )
% 1.25/1.66 , clause( 3618, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.66 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 1.25/1.66 , clause( 3619, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.66 'class_LOrder_Omeet__semilorder'( X ) ] )
% 1.25/1.66 , clause( 3620, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 1.25/1.66 , clause( 3621, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 1.25/1.66 , clause( 3622, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3623, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3624, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.66 'class_Orderings_Oorder'( X ) ] )
% 1.25/1.66 , clause( 3625, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.66 'class_Orderings_Oord'( X ) ] )
% 1.25/1.66 , clause( 3626, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Oring'( X ) ] )
% 1.25/1.66 , clause( 3627, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Oordered__semidom'( X ) ] )
% 1.25/1.66 , clause( 3628, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 1.25/1.66 , clause( 3629, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.66 'class_HOL_Ominus'( X ) ] )
% 1.25/1.66 , clause( 3630, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 1.25/1.66 , clause( 3631, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Ocomm__ring__1'( X ) ] )
% 1.25/1.66 , clause( 3632, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 1.25/1.66 , clause( 3633, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 1.25/1.66 , clause( 3634, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 1.25/1.66 , clause( 3635, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 1.25/1.66 , clause( 3636, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.66 'class_HOL_Oone'( X ) ] )
% 1.25/1.66 , clause( 3637, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 1.25/1.66 , clause( 3638, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 1.25/1.66 , clause( 3639, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 1.25/1.66 , clause( 3640, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 1.25/1.66 , clause( 3641, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 1.25/1.66 , clause( 3642, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.25/1.66 , clause( 3643, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Oring__1'( X ) ] )
% 1.25/1.66 , clause( 3644, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.25/1.66 , clause( 3645, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.25/1.66 , clause( 3646, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.66 'class_HOL_Otimes'( X ) ] )
% 1.25/1.66 , clause( 3647, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.66 , clause( 3648, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.66 'class_HOL_Ozero'( X ) ] )
% 1.25/1.66 , clause( 3649, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3650, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3651, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3652, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3653, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.66 'class_HOL_Oplus'( X ) ] )
% 1.25/1.66 , clause( 3654, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Oring'( X ) ] )
% 1.25/1.66 , clause( 3655, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ] )
% 1.25/1.66 , clause( 3656, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 1.25/1.66 , clause( 3657, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3658, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.66 'class_Orderings_Olinorder'( X ) ] )
% 1.25/1.66 , clause( 3659, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.66 'class_LOrder_Olorder'( X ) ] )
% 1.25/1.66 , clause( 3660, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.66 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 1.25/1.66 , clause( 3661, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.66 'class_LOrder_Omeet__semilorder'( X ) ] )
% 1.25/1.66 , clause( 3662, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 1.25/1.66 , clause( 3663, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3664, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ] )
% 1.25/1.66 , clause( 3665, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 1.25/1.66 , clause( 3666, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 1.25/1.66 , clause( 3667, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 1.25/1.66 , clause( 3668, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 1.25/1.66 , clause( 3669, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3670, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.66 'class_Orderings_Oorder'( X ) ] )
% 1.25/1.66 , clause( 3671, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.66 'class_Orderings_Oord'( X ) ] )
% 1.25/1.66 , clause( 3672, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ] )
% 1.25/1.66 , clause( 3673, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Oordered__ring__strict'( X ) ] )
% 1.25/1.66 , clause( 3674, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Olordered__ring'( X ) ] )
% 1.25/1.66 , clause( 3675, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Opordered__ring'( X ) ] )
% 1.25/1.66 , clause( 3676, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.66 'class_HOL_Ominus'( X ) ] )
% 1.25/1.66 , clause( 3677, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 1.25/1.66 , clause( 3678, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ] )
% 1.25/1.66 , clause( 3679, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Olordered__ab__group__join'( X ) ] )
% 1.25/1.66 , clause( 3680, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 1.25/1.66 , clause( 3681, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 1.25/1.66 , clause( 3682, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Oordered__semidom'( X ) ] )
% 1.25/1.66 , clause( 3683, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 1.25/1.66 , clause( 3684, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Oidom'( X ) ] )
% 1.25/1.66 , clause( 3685, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 1.25/1.66 , clause( 3686, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 1.25/1.66 , clause( 3687, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 1.25/1.66 , clause( 3688, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 1.25/1.66 , clause( 3689, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.66 , 'class_Ring__and__Field_Oring'( X ) ] )
% 1.25/1.66 , clause( 3690, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.66 , 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 1.25/1.66 , clause( 3691, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.66 , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.66 , clause( 3692, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.66 , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3693, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.66 , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3694, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.66 , 'class_HOL_Oplus'( X ) ] )
% 1.25/1.66 , clause( 3695, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.66 , 'class_HOL_Ozero'( X ) ] )
% 1.25/1.66 , clause( 3696, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.66 , 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 1.25/1.66 , clause( 3697, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.66 , 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3698, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.66 , 'class_Orderings_Olinorder'( X ) ] )
% 1.25/1.66 , clause( 3699, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.66 , 'class_LOrder_Olorder'( X ) ] )
% 1.25/1.66 , clause( 3700, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.66 , 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 1.25/1.66 , clause( 3701, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.66 , 'class_HOL_Ominus'( X ) ] )
% 1.25/1.66 , clause( 3702, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.66 , 'class_LOrder_Omeet__semilorder'( X ) ] )
% 1.25/1.66 , clause( 3703, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.66 , 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 1.25/1.66 , clause( 3704, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.66 , 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3705, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.66 , 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 1.25/1.66 , clause( 3706, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.66 , 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 1.25/1.66 , clause( 3707, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.66 , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3708, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.66 , 'class_Orderings_Oorder'( X ) ] )
% 1.25/1.66 , clause( 3709, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.66 , 'class_Orderings_Oord'( X ) ] )
% 1.25/1.66 , clause( 3710, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.66 , 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ] )
% 1.25/1.66 , clause( 3711, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.66 , 'class_OrderedGroup_Olordered__ab__group'( X ) ] )
% 1.25/1.66 , clause( 3712, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.66 , 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 1.25/1.66 , clause( 3713, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.66 , 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 1.25/1.66 , clause( 3714, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.66 , 'class_Ring__and__Field_Olordered__ring'( X ) ] )
% 1.25/1.66 , clause( 3715, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.66 , 'class_Ring__and__Field_Opordered__ring'( X ) ] )
% 1.25/1.66 , clause( 3716, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.66 , 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ] )
% 1.25/1.66 , clause( 3717, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.66 , 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ] )
% 1.25/1.66 , clause( 3718, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.66 , 'class_OrderedGroup_Olordered__ab__group__join'( X ) ] )
% 1.25/1.66 , clause( 3719, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.66 , 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ] )
% 1.25/1.66 , clause( 3720, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.66 , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3721, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.66 , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3722, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.66 , 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.25/1.66 , clause( 3723, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.66 , 'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.25/1.66 , clause( 3724, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.66 , 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.25/1.66 , clause( 3725, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.66 , 'class_HOL_Otimes'( X ) ] )
% 1.25/1.66 , clause( 3726, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ] )
% 1.25/1.66 , clause( 3727, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ] )
% 1.25/1.66 , clause( 3728, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 1.25/1.66 , clause( 3729, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 1.25/1.66 , clause( 3730, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 1.25/1.66 , clause( 3731, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.25/1.66 , clause( 3732, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.25/1.66 , clause( 3733, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.25/1.66 , clause( 3734, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.66 'class_HOL_Otimes'( X ) ] )
% 1.25/1.66 , clause( 3735, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.66 , clause( 3736, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.66 'class_HOL_Ozero'( X ) ] )
% 1.25/1.66 , clause( 3737, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3738, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ] )
% 1.25/1.66 , clause( 3739, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3740, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3741, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3742, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.66 'class_HOL_Oplus'( X ) ] )
% 1.25/1.66 , clause( 3743, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ] )
% 1.25/1.66 , clause( 3744, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ] )
% 1.25/1.66 , clause( 3745, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3746, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.66 'class_Orderings_Olinorder'( X ) ] )
% 1.25/1.66 , clause( 3747, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.66 'class_LOrder_Olorder'( X ) ] )
% 1.25/1.66 , clause( 3748, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.66 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 1.25/1.66 , clause( 3749, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 1.25/1.66 , clause( 3750, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.66 'class_LOrder_Omeet__semilorder'( X ) ] )
% 1.25/1.66 , clause( 3751, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 1.25/1.66 , clause( 3752, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3753, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ] )
% 1.25/1.66 , clause( 3754, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 1.25/1.66 , clause( 3755, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 1.25/1.66 , clause( 3756, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 1.25/1.66 , clause( 3757, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3758, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.66 'class_Orderings_Oorder'( X ) ] )
% 1.25/1.66 , clause( 3759, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.66 'class_Orderings_Oord'( X ) ] )
% 1.25/1.66 , clause( 3760, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 1.25/1.66 , clause( 3761, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 1.25/1.66 , clause( 3762, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 1.25/1.66 , clause( 3763, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.66 'class_HOL_Oone'( X ) ] )
% 1.25/1.66 , clause( 3764, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 1.25/1.66 , clause( 3765, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 1.25/1.66 , clause( 3766, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.25/1.66 ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.25/1.66 , clause( 3767, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.25/1.66 ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.25/1.66 , clause( 3768, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.25/1.66 ) ), 'class_Orderings_Olinorder'( X ) ] )
% 1.25/1.66 , clause( 3769, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.25/1.66 ) ), 'class_LOrder_Olorder'( X ) ] )
% 1.25/1.66 , clause( 3770, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.25/1.66 ) ), 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 1.25/1.66 , clause( 3771, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.25/1.66 ) ), 'class_LOrder_Omeet__semilorder'( X ) ] )
% 1.25/1.66 , clause( 3772, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.25/1.66 ) ), 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ]
% 1.25/1.66 )
% 1.25/1.66 , clause( 3773, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.25/1.66 ) ), 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ]
% 1.25/1.66 )
% 1.25/1.66 , clause( 3774, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.25/1.66 ) ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3775, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.25/1.66 ) ), 'class_Orderings_Oorder'( X ) ] )
% 1.25/1.66 , clause( 3776, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.25/1.66 ) ), 'class_Orderings_Oord'( X ) ] )
% 1.25/1.66 , clause( 3777, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.25/1.66 ) ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3778, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.25/1.66 ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.25/1.66 , clause( 3779, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.25/1.66 ) ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3780, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.25/1.66 ) ), 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 1.25/1.66 , clause( 3781, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.25/1.66 ) ), 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 1.25/1.66 , clause( 3782, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.25/1.66 ) ), 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 1.25/1.66 , clause( 3783, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.25/1.66 ) ), 'class_HOL_Otimes'( X ) ] )
% 1.25/1.66 , clause( 3784, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.25/1.66 ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.66 , clause( 3785, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.25/1.66 ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3786, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.25/1.66 ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3787, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.25/1.66 ) ), 'class_HOL_Oplus'( X ) ] )
% 1.25/1.66 , clause( 3788, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.25/1.66 ) ), 'class_HOL_Ozero'( X ) ] )
% 1.25/1.66 , clause( 3789, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.25/1.66 ) ), 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3790, [ ~(
% 1.25/1.66 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 1.25/1.66 , clause( 3791, [ ~(
% 1.25/1.66 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 1.25/1.66 , clause( 3792, [ ~(
% 1.25/1.66 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3793, [ ~(
% 1.25/1.66 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3794, [ ~(
% 1.25/1.66 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3795, [ ~(
% 1.25/1.66 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.25/1.66 'class_HOL_Oplus'( X ) ] )
% 1.25/1.66 , clause( 3796, [ ~(
% 1.25/1.66 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.25/1.66 'class_Orderings_Oorder'( X ) ] )
% 1.25/1.66 , clause( 3797, [ ~(
% 1.25/1.66 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.25/1.66 'class_Orderings_Oord'( X ) ] )
% 1.25/1.66 , clause( 3798, [ ~(
% 1.25/1.66 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3799, [ ~(
% 1.25/1.66 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3800, [ ~(
% 1.25/1.66 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 1.25/1.66 , clause( 3801, [ ~(
% 1.25/1.66 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 1.25/1.66 , clause( 3802, [ ~(
% 1.25/1.66 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 1.25/1.66 , clause( 3803, [ ~(
% 1.25/1.66 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 1.25/1.66 , clause( 3804, [ ~(
% 1.25/1.66 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 1.25/1.66 , clause( 3805, [ ~(
% 1.25/1.66 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.25/1.66 , clause( 3806, [ ~(
% 1.25/1.66 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.25/1.66 , clause( 3807, [ ~(
% 1.25/1.66 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.25/1.66 , clause( 3808, [ ~(
% 1.25/1.66 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.25/1.66 'class_HOL_Otimes'( X ) ] )
% 1.25/1.66 , clause( 3809, [ ~(
% 1.25/1.66 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.66 , clause( 3810, [ ~(
% 1.25/1.66 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.25/1.66 'class_HOL_Ozero'( X ) ] )
% 1.25/1.66 , clause( 3811, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.25/1.66 X ) ), 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 1.25/1.66 , clause( 3812, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.25/1.66 X ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.25/1.66 , clause( 3813, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.25/1.66 X ) ), 'class_HOL_Oplus'( X ) ] )
% 1.25/1.66 , clause( 3814, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.25/1.66 X ) ), 'class_Orderings_Oorder'( X ) ] )
% 1.25/1.66 , clause( 3815, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.25/1.66 X ) ), 'class_Orderings_Oord'( X ) ] )
% 1.25/1.66 , clause( 3816, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.25/1.66 X ) ), 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3817, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.25/1.66 X ) ), 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3818, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.25/1.66 X ) ), 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 1.25/1.66 , clause( 3819, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.25/1.66 X ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.25/1.66 , clause( 3820, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.25/1.66 X ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.25/1.66 , clause( 3821, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.25/1.66 X ) ), 'class_HOL_Otimes'( X ) ] )
% 1.25/1.66 , clause( 3822, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.25/1.66 X ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.66 , clause( 3823, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.25/1.66 X ) ), 'class_HOL_Ozero'( X ) ] )
% 1.25/1.66 , clause( 3824, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.25/1.66 X ) ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3825, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.25/1.66 X ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3826, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.25/1.66 X ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3827, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.25/1.66 , 'class_Ring__and__Field_Ocomm__ring'( X ) ] )
% 1.25/1.66 , clause( 3828, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.25/1.66 , 'class_Ring__and__Field_Oring'( X ) ] )
% 1.25/1.66 , clause( 3829, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.25/1.66 , 'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.25/1.66 , clause( 3830, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.25/1.66 , 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.25/1.66 , clause( 3831, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.25/1.66 , 'class_HOL_Otimes'( X ) ] )
% 1.25/1.66 , clause( 3832, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.25/1.66 , 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.66 , clause( 3833, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.25/1.66 , 'class_HOL_Ozero'( X ) ] )
% 1.25/1.66 , clause( 3834, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.25/1.66 , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3835, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.25/1.66 , 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3836, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.25/1.66 , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3837, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.25/1.66 , 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3838, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.25/1.66 , 'class_HOL_Oplus'( X ) ] )
% 1.25/1.66 , clause( 3839, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.25/1.66 , 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 1.25/1.66 , clause( 3840, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.25/1.66 , 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ] )
% 1.25/1.66 , clause( 3841, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.25/1.66 , 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 1.25/1.66 , clause( 3842, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.25/1.66 , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3843, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.25/1.66 , 'class_Orderings_Oorder'( X ) ] )
% 1.25/1.66 , clause( 3844, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.25/1.66 , 'class_Orderings_Oord'( X ) ] )
% 1.25/1.66 , clause( 3845, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.25/1.66 , 'class_HOL_Ominus'( X ) ] )
% 1.25/1.66 , clause( 3846, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.25/1.66 , 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ] )
% 1.25/1.66 , clause( 3847, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.25/1.66 , 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 1.25/1.66 , clause( 3848, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.25/1.66 , 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 1.25/1.66 , clause( 3849, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.25/1.66 , 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 1.25/1.66 , clause( 3850, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.25/1.66 , 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 1.25/1.66 , clause( 3851, [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) )
% 1.25/1.66 , 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.25/1.66 , clause( 3852, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 1.25/1.66 ) ), 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ] )
% 1.25/1.66 , clause( 3853, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 1.25/1.66 ) ), 'class_Ring__and__Field_Ocomm__semiring'( X ) ] )
% 1.25/1.66 , clause( 3854, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 1.25/1.66 ) ), 'class_HOL_Oplus'( X ) ] )
% 1.25/1.66 , clause( 3855, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 1.25/1.66 ) ), 'class_HOL_Ozero'( X ) ] )
% 1.25/1.66 , clause( 3856, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 1.25/1.66 ) ), 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3857, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 1.25/1.66 ) ), 'class_Orderings_Oorder'( X ) ] )
% 1.25/1.66 , clause( 3858, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 1.25/1.66 ) ), 'class_Orderings_Oord'( X ) ] )
% 1.25/1.66 , clause( 3859, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 1.25/1.66 ) ), 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 1.25/1.66 , clause( 3860, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 1.25/1.66 ) ), 'class_OrderedGroup_Oab__semigroup__mult'( X ) ] )
% 1.25/1.66 , clause( 3861, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 1.25/1.66 ) ), 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.25/1.66 , clause( 3862, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 1.25/1.66 ) ), 'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.25/1.66 , clause( 3863, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 1.25/1.66 ) ), 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.25/1.66 , clause( 3864, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 1.25/1.66 ) ), 'class_HOL_Otimes'( X ) ] )
% 1.25/1.66 , clause( 3865, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 1.25/1.66 ) ), 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.66 , clause( 3866, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 1.25/1.66 ) ), 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3867, [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X
% 1.25/1.66 ) ), 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3868, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Oring'( X ) ] )
% 1.25/1.66 , clause( 3869, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 1.25/1.66 , clause( 3870, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.66 , clause( 3871, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3872, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3873, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.25/1.66 'class_HOL_Oplus'( X ) ] )
% 1.25/1.66 , clause( 3874, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.25/1.66 'class_HOL_Ozero'( X ) ] )
% 1.25/1.66 , clause( 3875, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Opordered__semiring'( X ) ] )
% 1.25/1.66 , clause( 3876, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3877, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.25/1.66 'class_Orderings_Oorder'( X ) ] )
% 1.25/1.66 , clause( 3878, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.25/1.66 'class_Orderings_Oord'( X ) ] )
% 1.25/1.66 , clause( 3879, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Opordered__ab__group__add'( X ) ] )
% 1.25/1.66 , clause( 3880, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.25/1.66 'class_HOL_Ominus'( X ) ] )
% 1.25/1.66 , clause( 3881, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ] )
% 1.25/1.66 , clause( 3882, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3883, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ] )
% 1.25/1.66 , clause( 3884, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 1.25/1.66 , clause( 3885, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3886, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3887, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.25/1.66 , clause( 3888, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.25/1.66 , clause( 3889, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.25/1.66 , clause( 3890, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.25/1.66 'class_HOL_Otimes'( X ) ] )
% 1.25/1.66 , clause( 3891, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.25/1.66 , clause( 3892, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.25/1.66 , clause( 3893, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.25/1.66 'class_Orderings_Oorder'( X ) ] )
% 1.25/1.66 , clause( 3894, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.25/1.66 'class_Orderings_Oord'( X ) ] )
% 1.25/1.66 , clause( 3895, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.25/1.66 , clause( 3896, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.25/1.66 'class_HOL_Otimes'( X ) ] )
% 1.25/1.66 , clause( 3897, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.66 , clause( 3898, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3899, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3900, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.25/1.66 'class_HOL_Oplus'( X ) ] )
% 1.25/1.66 , clause( 3901, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.25/1.66 'class_HOL_Ozero'( X ) ] )
% 1.25/1.66 , clause( 3902, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3903, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.25/1.66 , clause( 3904, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3905, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3906, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3907, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 1.25/1.66 , clause( 3908, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.25/1.66 , clause( 3909, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3910, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.25/1.66 'class_HOL_Oplus'( X ) ] )
% 1.25/1.66 , clause( 3911, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.25/1.66 , clause( 3912, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.25/1.66 'class_HOL_Otimes'( X ) ] )
% 1.25/1.66 , clause( 3913, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 1.25/1.66 , clause( 3914, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.25/1.66 'class_HOL_Ominus'( X ) ] )
% 1.25/1.66 , clause( 3915, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.66 , clause( 3916, [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.25/1.66 'class_HOL_Ozero'( X ) ] )
% 1.25/1.66 , clause( 3917, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Oring'( X ) ] )
% 1.25/1.66 , clause( 3918, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Oab__group__add'( X ) ] )
% 1.25/1.66 , clause( 3919, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.66 , clause( 3920, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3921, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3922, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.25/1.66 'class_HOL_Oplus'( X ) ] )
% 1.25/1.66 , clause( 3923, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.25/1.66 'class_HOL_Ozero'( X ) ] )
% 1.25/1.66 , clause( 3924, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 1.25/1.66 , clause( 3925, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 1.25/1.66 , clause( 3926, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 1.25/1.66 , clause( 3927, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.25/1.66 'class_HOL_Oone'( X ) ] )
% 1.25/1.66 , clause( 3928, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ] )
% 1.25/1.66 , clause( 3929, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.25/1.66 'class_HOL_Ominus'( X ) ] )
% 1.25/1.66 , clause( 3930, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 1.25/1.66 , clause( 3931, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3932, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3933, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.25/1.66 , clause( 3934, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.25/1.66 , clause( 3935, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.25/1.66 , clause( 3936, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.25/1.66 'class_HOL_Otimes'( X ) ] )
% 1.25/1.66 , clause( 3937, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3938, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3939, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ),
% 1.25/1.66 'class_HOL_Oplus'( X ) ] )
% 1.25/1.66 , clause( 3940, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.25/1.66 , clause( 3941, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ),
% 1.25/1.66 'class_HOL_Otimes'( X ) ] )
% 1.25/1.66 , clause( 3942, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.25/1.66 , clause( 3943, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3944, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3945, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 1.25/1.66 'class_HOL_Oplus'( X ) ] )
% 1.25/1.66 , clause( 3946, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.25/1.66 , clause( 3947, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 1.25/1.66 'class_HOL_Otimes'( X ) ] )
% 1.25/1.66 , clause( 3948, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.66 , clause( 3949, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 1.25/1.66 'class_HOL_Ozero'( X ) ] )
% 1.25/1.66 , clause( 3950, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.25/1.66 , clause( 3951, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.25/1.66 , clause( 3952, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3953, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.25/1.66 , clause( 3954, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.25/1.66 'class_HOL_Otimes'( X ) ] )
% 1.25/1.66 , clause( 3955, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.66 , clause( 3956, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3957, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3958, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.25/1.66 'class_HOL_Oplus'( X ) ] )
% 1.25/1.66 , clause( 3959, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.25/1.66 'class_HOL_Ozero'( X ) ] )
% 1.25/1.66 , clause( 3960, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3961, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 1.25/1.66 , clause( 3962, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 1.25/1.66 'class_HOL_Ozero'( X ) ] )
% 1.25/1.66 , clause( 3963, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 1.25/1.66 'class_HOL_Oplus'( X ) ] )
% 1.25/1.66 , clause( 3964, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 1.25/1.66 , clause( 3965, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 1.25/1.66 'class_HOL_Oone'( X ) ] )
% 1.25/1.66 , clause( 3966, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.25/1.66 , clause( 3967, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.25/1.66 , clause( 3968, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.25/1.66 , clause( 3969, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 1.25/1.66 'class_HOL_Otimes'( X ) ] )
% 1.25/1.66 , clause( 3970, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.66 , clause( 3971, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3972, [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3973, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring__1'( X ) ] )
% 1.25/1.66 , clause( 3974, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ] )
% 1.25/1.66 , clause( 3975, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.25/1.66 'class_HOL_Oone'( X ) ] )
% 1.25/1.66 , clause( 3976, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Osemigroup__mult'( X ) ] )
% 1.25/1.66 , clause( 3977, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.25/1.66 'class_HOL_Otimes'( X ) ] )
% 1.25/1.66 , clause( 3978, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3979, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3980, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ] )
% 1.25/1.66 , clause( 3981, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring__0'( X ) ] )
% 1.25/1.66 , clause( 3982, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.25/1.66 'class_Ring__and__Field_Osemiring'( X ) ] )
% 1.25/1.66 , clause( 3983, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Ocomm__monoid__add'( X ) ] )
% 1.25/1.66 , clause( 3984, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.25/1.66 'class_HOL_Ozero'( X ) ] )
% 1.25/1.66 , clause( 3985, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Oab__semigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3986, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Osemigroup__add'( X ) ] )
% 1.25/1.66 , clause( 3987, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.25/1.66 'class_HOL_Oplus'( X ) ] )
% 1.25/1.66 , clause( 3988, [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.25/1.66 'class_OrderedGroup_Omonoid__mult'( X ) ] )
% 1.25/1.66 , clause( 3989, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 1.25/1.66 'class_Orderings_Oord'( X ) ] )
% 1.25/1.66 , clause( 3990, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 1.25/1.66 'class_Orderings_Oorder'( X ) ] )
% 1.25/1.66 , clause( 3991, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 1.25/1.66 'class_LOrder_Omeet__semilorder'( X ) ] )
% 1.25/1.66 , clause( 3992, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 1.25/1.66 'class_LOrder_Ojoin__semilorder'( X ) ] )
% 1.25/1.66 , clause( 3993, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 1.25/1.66 'class_LOrder_Olorder'( X ) ] )
% 1.25/1.66 , clause( 3994, [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 1.25/1.66 'class_Orderings_Olinorder'( X ) ] )
% 1.25/1.66 , clause( 3995, [ =( 'c_Binomial_Obinomial'( 'c_0', 'c_Suc'( X ) ), 'c_0' )
% 1.25/1.66 ] )
% 1.25/1.66 , clause( 3996, [ =( 'c_Binomial_Obinomial'( X, 'c_Suc'( 'c_0' ) ), X ) ]
% 1.25/1.66 )
% 1.25/1.66 , clause( 3997, [ =( 'c_Binomial_Obinomial'( 'c_Suc'( X ), 'c_Suc'( Y ) ),
% 1.25/1.66 'c_plus'( 'c_Binomial_Obinomial'( X, Y ), 'c_Binomial_Obinomial'( X,
% 1.25/1.66 'c_Suc'( Y ) ), 'tc_nat' ) ) ] )
% 1.25/1.66 , clause( 3998, [ =( 'c_Binomial_Obinomial'( 'c_Suc'( X ), X ), 'c_Suc'( X
% 1.25/1.66 ) ) ] )
% 1.25/1.66 , clause( 3999, [ =( 'c_Binomial_Obinomial'( X, 'c_0' ), 'c_1' ) ] )
% 1.25/1.66 , clause( 4000, [ =( 'c_Binomial_Obinomial'( X, X ), 'c_1' ) ] )
% 1.25/1.66 , clause( 4001, [ ~( 'c_in'( X, 'c_Datatype_Oo2s'( Y, Z ), Z ) ), =( Y,
% 1.25/1.66 'c_Datatype_Ooption_OSome'( X, Z ) ) ] )
% 1.25/1.66 , clause( 4002, [ 'c_in'( X, 'c_Datatype_Oo2s'( 'c_Datatype_Ooption_OSome'(
% 1.25/1.66 X, Y ), Y ), Y ) ] )
% 1.25/1.66 , clause( 4003, [ =( X, 'c_Datatype_Ooption_ONone' ), =( X,
% 1.25/1.66 'c_Datatype_Ooption_OSome'( 'c_Main_Onot__None__eq__1'( X, Y ), Y ) ) ]
% 1.25/1.66 )
% 1.25/1.66 , clause( 4004, [ =( X, 'c_Datatype_Ooption_ONone' ), =( X,
% 1.25/1.66 'c_Datatype_Ooption_OSome'( 'c_Main_Onot__Some__eq__1'( X, Y ), Y ) ) ]
% 1.25/1.66 )
% 1.25/1.66 , clause( 4005, [ =( 'c_Datatype_Oo2s'( 'c_Datatype_Ooption_OSome'( X, Y )
% 1.25/1.66 , Y ), 'c_insert'( X, 'c_emptyset', Y ) ) ] )
% 1.25/1.66 , clause( 4006, [ ~( =( 'c_Datatype_Oo2s'( X, Y ), 'c_emptyset' ) ), =( X,
% 1.25/1.66 'c_Datatype_Ooption_ONone' ) ] )
% 1.25/1.66 , clause( 4007, [ =( 'c_Datatype_Oo2s'( 'c_Datatype_Ooption_ONone', X ),
% 1.25/1.66 'c_emptyset' ) ] )
% 1.25/1.66 , clause( 4008, [ ~( =( 'c_Datatype_Ooption_ONone',
% 1.25/1.66 'c_Datatype_Ooption_OSome'( X, Y ) ) ) ] )
% 1.25/1.66 , clause( 4009, [ ~( =( 'c_Datatype_Ooption_OSome'( X, Y ),
% 1.25/1.66 'c_Datatype_Ooption_ONone' ) ) ] )
% 1.25/1.66 , clause( 4010, [ ~( =( 'c_Datatype_Ooption_OSome'( X, Y ),
% 1.25/1.66 'c_Datatype_Ooption_OSome'( Z, Y ) ) ), =( X, Z ) ] )
% 1.25/1.66 , clause( 4011, [ =( 'c_Nat_Osize'( 'c_Datatype_Ooption_ONone',
% 1.25/1.66 'tc_Datatype_Ooption'( X ) ), 'c_0' ) ] )
% 1.25/1.66 , clause( 4012, [ =( 'c_Nat_Osize'( 'c_Datatype_Ooption_OSome'( X, Y ),
% 1.25/1.66 'tc_Datatype_Ooption'( Y ) ), 'c_0' ) ] )
% 1.25/1.66 , clause( 4013, [ =( 'c_Nat_Osize'( 'c_Pair'( X, Y, Z, T ), 'tc_prod'( Z, T
% 1.25/1.66 ) ), 'c_0' ) ] )
% 1.25/1.66 , clause( 4014, [ =( 'c_Nat_Osize'( 'c_Sum__Type_OInl'( X, Y, Z ), 'tc_sum'(
% 1.25/1.66 Y, Z ) ), 'c_0' ) ] )
% 1.25/1.66 , clause( 4015, [ =( 'c_Nat_Osize'( 'c_Sum__Type_OInr'( X, Y, Z ), 'tc_sum'(
% 1.25/1.66 Z, Y ) ), 'c_0' ) ] )
% 1.25/1.66 , clause( 4016, [ =( 'c_Datatype_Othe'( 'c_Datatype_Ooption_OSome'( X, Y )
% 1.25/1.66 , Y ), X ) ] )
% 1.25/1.66 , clause( 4017, [ =( 'c_Datatype_Ounit_Ounit__case'( X,
% 1.25/1.66 'c_Product__Type_OUnity', Y ), X ) ] )
% 1.25/1.66 , clause( 4018, [ =( 'c_Datatype_Ounit_Ounit__rec'( X,
% 1.25/1.66 'c_Product__Type_OUnity', Y ), X ) ] )
% 1.25/1.66 , clause( 4019, [ =( 'c_Nat_Osize'( 'c_Product__Type_OUnity',
% 1.25/1.66 'tc_Product__Type_Ounit' ), 'c_0' ) ] )
% 1.25/1.66 , clause( 4020, [ ~( =( 'c_Datatype__Universe_OAtom'( X, Y, Z ),
% 1.25/1.66 'c_Datatype__Universe_OAtom'( T, Y, Z ) ) ), =( X, T ) ] )
% 1.25/1.66 , clause( 4021, [ ~( =( 'c_Datatype__Universe_OAtom'( X, Y, Z ),
% 1.25/1.66 'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ] )
% 1.25/1.66 , clause( 4022, [ =( 'c_Relation_ODomain'( 'c_Datatype__Universe_Odprod'( X
% 1.25/1.66 , Y, Z, T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.25/1.66 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Ouprod'(
% 1.25/1.66 'c_Relation_ODomain'( X, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.25/1.66 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ),
% 1.25/1.66 'c_Relation_ODomain'( Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.25/1.66 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), Z, T ) ) ] )
% 1.25/1.66 , clause( 4023, [ =( 'c_Relation_ODomain'( 'c_Datatype__Universe_Odsum'( X
% 1.25/1.66 , Y, Z, T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.25/1.66 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Ousum'(
% 1.25/1.66 'c_Relation_ODomain'( X, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.25/1.66 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ),
% 1.25/1.66 'c_Relation_ODomain'( Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.25/1.66 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), Z, T ) ) ] )
% 1.25/1.66 , clause( 4024, [ ~( =( 'c_Datatype__Universe_OIn0'( X, Y, Z ),
% 1.25/1.66 'c_Datatype__Universe_OIn0'( T, Y, Z ) ) ), =( X, T ) ] )
% 1.25/1.66 , clause( 4025, [ ~( =( 'c_Datatype__Universe_OIn0'( X, Y, Z ),
% 1.25/1.66 'c_Datatype__Universe_OIn1'( T, Y, Z ) ) ) ] )
% 1.25/1.66 , clause( 4026, [ ~( =( 'c_Datatype__Universe_OIn1'( X, Y, Z ),
% 1.25/1.66 'c_Datatype__Universe_OIn1'( T, Y, Z ) ) ), =( X, T ) ] )
% 1.25/1.66 , clause( 4027, [ ~( =( 'c_Datatype__Universe_OIn1'( X, Y, Z ),
% 1.25/1.66 'c_Datatype__Universe_OIn0'( T, Y, Z ) ) ) ] )
% 1.25/1.66 , clause( 4028, [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ),
% 1.25/1.66 'c_Datatype__Universe_ONumb'( T, Y, Z ) ) ) ] )
% 1.25/1.66 , clause( 4029, [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ),
% 1.25/1.66 'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ] )
% 1.25/1.66 , clause( 4030, [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ),
% 1.25/1.66 'c_Datatype__Universe_OLeaf'( T, Y, Z ) ) ) ] )
% 1.25/1.66 , clause( 4031, [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ),
% 1.25/1.66 'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ] )
% 1.25/1.66 , clause( 4032, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 1.25/1.66 'c_Datatype__Universe_OScons'( U, W, Z, T ) ) ), =( X, U ) ] )
% 1.25/1.66 , clause( 4033, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 1.25/1.66 'c_Datatype__Universe_OScons'( U, W, Z, T ) ) ), =( Y, W ) ] )
% 1.25/1.66 , clause( 4034, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 1.25/1.66 'c_Datatype__Universe_OAtom'( U, Z, T ) ) ) ] )
% 1.25/1.66 , clause( 4035, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 1.25/1.66 'c_Datatype__Universe_OLeaf'( U, Z, T ) ) ) ] )
% 1.25/1.66 , clause( 4036, [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 1.25/1.66 'c_Datatype__Universe_ONumb'( U, Z, T ) ) ) ] )
% 1.25/1.66 , clause( 4037, [ =( 'c_Datatype__Universe_Ontrunc'( 'c_0', X, Y, Z ),
% 1.25/1.66 'c_emptyset' ) ] )
% 1.25/1.66 , clause( 4038, [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X ),
% 1.25/1.66 'c_Datatype__Universe_OAtom'( Y, Z, T ), Z, T ),
% 1.25/1.66 'c_Datatype__Universe_OAtom'( Y, Z, T ) ) ] )
% 1.25/1.66 , clause( 4039, [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( 'c_Suc'( X )
% 1.25/1.66 ), 'c_Datatype__Universe_OIn0'( Y, Z, T ), Z, T ),
% 1.25/1.66 'c_Datatype__Universe_OIn0'( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X )
% 1.25/1.66 , Y, Z, T ), Z, T ) ) ] )
% 1.25/1.66 , clause( 4040, [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( 'c_Suc'( X )
% 1.25/1.66 ), 'c_Datatype__Universe_OIn1'( Y, Z, T ), Z, T ),
% 1.25/1.66 'c_Datatype__Universe_OIn1'( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X )
% 1.25/1.66 , Y, Z, T ), Z, T ) ) ] )
% 1.25/1.66 , clause( 4041, [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X ),
% 1.25/1.66 'c_Datatype__Universe_OLeaf'( Y, Z, T ), Z, T ),
% 1.25/1.66 'c_Datatype__Universe_OLeaf'( Y, Z, T ) ) ] )
% 1.25/1.66 , clause( 4042, [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X ),
% 1.25/1.66 'c_Datatype__Universe_ONumb'( Y, Z, T ), Z, T ),
% 1.25/1.66 'c_Datatype__Universe_ONumb'( Y, Z, T ) ) ] )
% 1.25/1.66 , clause( 4043, [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X ),
% 1.25/1.66 'c_Datatype__Universe_OScons'( Y, Z, T, U ), T, U ),
% 1.25/1.66 'c_Datatype__Universe_OScons'( 'c_Datatype__Universe_Ontrunc'( X, Y, T, U
% 1.25/1.66 ), 'c_Datatype__Universe_Ontrunc'( X, Z, T, U ), T, U ) ) ] )
% 1.25/1.66 , clause( 4044, [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( 'c_0' ),
% 1.25/1.66 'c_Datatype__Universe_OIn0'( X, Y, Z ), Y, Z ), 'c_emptyset' ) ] )
% 1.25/1.66 , clause( 4045, [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( 'c_0' ),
% 1.25/1.66 'c_Datatype__Universe_OIn1'( X, Y, Z ), Y, Z ), 'c_emptyset' ) ] )
% 1.25/1.66 , clause( 4046, [ =( 'c_div'( X, 'c_0', 'tc_nat' ), 'c_0' ) ] )
% 1.25/1.66 , clause( 4047, [ =( 'c_Divides_Oop_Amod'( X, 'c_0', 'tc_nat' ), X ) ] )
% 1.25/1.66 , clause( 4048, [ =( 'c_div'( 'c_0', X, 'tc_nat' ), 'c_0' ) ] )
% 1.25/1.66 , clause( 4049, [ =( 'c_div'( X, 'c_Suc'( 'c_0' ), 'tc_nat' ), X ) ] )
% 1.25/1.66 , clause( 4050, [ 'c_lessequals'( 'c_div'( X, Y, 'tc_nat' ), X, 'tc_nat' )
% 1.25/1.66 ] )
% 1.25/1.66 , clause( 4051, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_div'( X, Y,
% 1.25/1.66 'tc_nat' ), 'c_0' ) ] )
% 1.25/1.66 , clause( 4052, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), ~( 'c_less'( 'c_1',
% 1.25/1.66 Y, 'tc_nat' ) ), 'c_less'( 'c_div'( X, Y, 'tc_nat' ), X, 'tc_nat' ) ] )
% 1.25/1.66 , clause( 4053, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'(
% 1.25/1.66 'c_times'( X, Y, 'tc_nat' ), 'c_times'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 1.25/1.66 'c_div'( Y, Z, 'tc_nat' ) ) ] )
% 1.25/1.66 , clause( 4054, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'(
% 1.25/1.66 'c_times'( Y, X, 'tc_nat' ), 'c_times'( Z, X, 'tc_nat' ), 'tc_nat' ),
% 1.25/1.66 'c_div'( Y, Z, 'tc_nat' ) ) ] )
% 1.25/1.66 , clause( 4055, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 'c_plus'(
% 1.25/1.66 Y, 'c_times'( Z, X, 'tc_nat' ), 'tc_nat' ), X, 'tc_nat' ), 'c_plus'( Z,
% 1.25/1.66 'c_div'( Y, X, 'tc_nat' ), 'tc_nat' ) ) ] )
% 1.25/1.66 , clause( 4056, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'(
% 1.25/1.66 'c_times'( X, Y, 'tc_nat' ), X, 'tc_nat' ), Y ) ] )
% 1.25/1.66 , clause( 4057, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 'c_plus'(
% 1.25/1.66 Y, 'c_times'( X, Z, 'tc_nat' ), 'tc_nat' ), X, 'tc_nat' ), 'c_plus'( Z,
% 1.25/1.66 'c_div'( Y, X, 'tc_nat' ), 'tc_nat' ) ) ] )
% 1.25/1.66 , clause( 4058, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'(
% 1.25/1.66 'c_times'( Y, X, 'tc_nat' ), X, 'tc_nat' ), Y ) ] )
% 1.25/1.66 , clause( 4059, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( X, X,
% 1.25/1.66 'tc_nat' ), 'c_1' ) ] )
% 1.25/1.66 , clause( 4060, [ ~( 'c_Divides_Oop_Advd'( 'c_0', X, 'tc_nat' ) ), =( X,
% 1.25/1.66 'c_0' ) ] )
% 1.25/1.66 , clause( 4061, [ 'c_Divides_Oop_Advd'( 'c_0', 'c_0', 'tc_nat' ) ] )
% 1.25/1.66 , clause( 4062, [ ~( 'c_Divides_Oop_Advd'( X, 'c_Suc'( 'c_0' ), 'tc_nat' )
% 1.25/1.66 ), =( X, 'c_Suc'( 'c_0' ) ) ] )
% 1.25/1.66 , clause( 4063, [ 'c_Divides_Oop_Advd'( 'c_Suc'( 'c_0' ), 'c_Suc'( 'c_0' )
% 1.25/1.66 , 'tc_nat' ) ] )
% 1.25/1.66 , clause( 4064, [ 'c_Divides_Oop_Advd'( X, X, 'tc_nat' ) ] )
% 1.25/1.66 , clause( 4065, [ =( 'c_Divides_Oop_Amod'( 'c_0', X, 'tc_nat' ), 'c_0' ) ]
% 1.25/1.66 )
% 1.25/1.66 , clause( 4066, [ =( 'c_Divides_Oop_Amod'( X, 'c_Suc'( 'c_0' ), 'tc_nat' )
% 1.25/1.66 , 'c_0' ) ] )
% 1.25/1.66 , clause( 4067, [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, Y, 'tc_nat' ), X,
% 1.25/1.66 'tc_nat' ), 'c_Divides_Oop_Amod'( Y, X, 'tc_nat' ) ) ] )
% 1.25/1.66 , clause( 4068, [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, Y, 'tc_nat' ), Y,
% 1.25/1.66 'tc_nat' ), 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ) ) ] )
% 1.25/1.66 , clause( 4069, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_lessequals'(
% 1.25/1.66 'c_Divides_Oop_Amod'( Y, X, 'tc_nat' ), X, 'tc_nat' ) ] )
% 1.25/1.66 , clause( 4070, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_Divides_Oop_Amod'(
% 1.25/1.66 X, Y, 'tc_nat' ), X ) ] )
% 1.25/1.66 , clause( 4071, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'(
% 1.25/1.66 'c_Divides_Oop_Amod'( Y, X, 'tc_nat' ), X, 'tc_nat' ) ] )
% 1.25/1.66 , clause( 4072, [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, 'c_times'( Y, Z,
% 1.25/1.66 'tc_nat' ), 'tc_nat' ), Z, 'tc_nat' ), 'c_Divides_Oop_Amod'( X, Z,
% 1.25/1.66 'tc_nat' ) ) ] )
% 1.25/1.66 , clause( 4073, [ =( 'c_Divides_Oop_Amod'( 'c_times'( X, Y, 'tc_nat' ), X,
% 1.25/1.66 'tc_nat' ), 'c_0' ) ] )
% 1.25/1.66 , clause( 4074, [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, 'c_times'( Y, Z,
% 1.25/1.66 'tc_nat' ), 'tc_nat' ), Y, 'tc_nat' ), 'c_Divides_Oop_Amod'( X, Y,
% 1.25/1.66 'tc_nat' ) ) ] )
% 1.25/1.66 , clause( 4075, [ =( 'c_Divides_Oop_Amod'( 'c_times'( X, Y, 'tc_nat' ), Y,
% 1.25/1.66 'tc_nat' ), 'c_0' ) ] )
% 1.25/1.66 , clause( 4076, [ =( 'c_Divides_Oop_Amod'( X, X, 'tc_nat' ), 'c_0' ) ] )
% 1.25/1.66 , clause( 4077, [ =( 'c_div'( 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ), Y,
% 1.25/1.66 'tc_nat' ), 'c_0' ) ] )
% 1.25/1.66 , clause( 4078, [ =( 'c_Divides_Oop_Amod'( 'c_Divides_Oop_Amod'( X, Y,
% 1.25/1.66 'tc_nat' ), Y, 'tc_nat' ), 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ) ) ] )
% 1.25/1.66 , clause( 4079, [ ~( =( 'c_emptyset', 'c_Equiv__Relations_Oquotient'( X, Y
% 1.25/1.66 , Z ) ) ), =( X, 'c_emptyset' ) ] )
% 1.25/1.66 , clause( 4080, [ =( 'c_emptyset', 'c_Equiv__Relations_Oquotient'(
% 1.25/1.66 'c_emptyset', X, Y ) ) ] )
% 1.25/1.66 , clause( 4081, [ ~( =( 'c_Equiv__Relations_Oquotient'( X, Y, Z ),
% 1.25/1.66 'c_emptyset' ) ), =( X, 'c_emptyset' ) ] )
% 1.25/1.66 , clause( 4082, [ =( 'c_Equiv__Relations_Oquotient'( 'c_emptyset', X, Y ),
% 1.25/1.66 'c_emptyset' ) ] )
% 1.25/1.66 , clause( 4083, [ =( 'c_Extraction_Osumbool_Osumbool__case'( X, Y,
% 1.25/1.66 'c_Extraction_Osumbool_OLeft', Z ), X ) ] )
% 1.25/1.66 , clause( 4084, [ =( 'c_Extraction_Osumbool_Osumbool__case'( X, Y,
% 1.25/1.66 'c_Extraction_Osumbool_ORight', Z ), Y ) ] )
% 1.25/1.66 , clause( 4085, [ ~( =( 'c_Extraction_Osumbool_OLeft',
% 1.25/1.66 'c_Extraction_Osumbool_ORight' ) ) ] )
% 1.25/1.66 , clause( 4086, [ ~( =( 'c_Extraction_Osumbool_ORight',
% 1.25/1.66 'c_Extraction_Osumbool_OLeft' ) ) ] )
% 1.25/1.66 , clause( 4087, [ =( 'c_Extraction_Osumbool_Osumbool__rec'( X, Y,
% 1.25/1.66 'c_Extraction_Osumbool_OLeft', Z ), X ) ] )
% 1.25/1.66 , clause( 4088, [ =( 'c_Extraction_Osumbool_Osumbool__rec'( X, Y,
% 1.25/1.66 'c_Extraction_Osumbool_ORight', Z ), Y ) ] )
% 1.25/1.66 , clause( 4089, [ =( 'c_Nat_Osize'( 'c_Extraction_Osumbool_OLeft',
% 1.25/1.66 'tc_Extraction_Osumbool' ), 'c_0' ) ] )
% 1.25/1.66 , clause( 4090, [ =( 'c_Nat_Osize'( 'c_Extraction_Osumbool_ORight',
% 1.25/1.66 'tc_Extraction_Osumbool' ), 'c_0' ) ] )
% 1.25/1.66 , clause( 4091, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X
% 1.25/1.66 ) ), ~( 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ),
% 1.25/1.66 'c_lessequals'( Y, 'c_Finite__Set_OMax'( Z, X ), X ), =( Z, 'c_emptyset'
% 1.25/1.66 ) ] )
% 1.25/1.66 , clause( 4092, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.25/1.66 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'( 'c_Finite__Set_OMax'(
% 1.25/1.66 Y, X ), Y, X ), =( Y, 'c_emptyset' ) ] )
% 1.25/1.66 , clause( 4093, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.25/1.66 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), =( Y, 'c_emptyset' ), =(
% 1.25/1.66 'c_Finite__Set_OMax'( 'c_insert'( Z, Y, X ), X ), 'c_Orderings_Omax'( Z,
% 1.25/1.66 'c_Finite__Set_OMax'( Y, X ), X ) ) ] )
% 1.25/1.66 , clause( 4094, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X
% 1.25/1.66 ) ), ~( 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~(
% 1.25/1.66 'c_lessequals'( 'c_Finite__Set_OMax'( Z, X ), T, X ) ), 'c_lessequals'( Y
% 1.25/1.66 , T, X ), =( Z, 'c_emptyset' ) ] )
% 1.25/1.66 , clause( 4095, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.25/1.66 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'(
% 1.25/1.66 'c_Main_OMax__le__iff__1'( Y, Z, X ), Y, X ), 'c_lessequals'(
% 1.25/1.66 'c_Finite__Set_OMax'( Y, X ), Z, X ), =( Y, 'c_emptyset' ) ] )
% 1.25/1.66 , clause( 4096, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.25/1.66 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_lessequals'(
% 1.25/1.66 'c_Main_OMax__le__iff__1'( Y, Z, X ), Z, X ) ), 'c_lessequals'(
% 1.25/1.66 'c_Finite__Set_OMax'( Y, X ), Z, X ), =( Y, 'c_emptyset' ) ] )
% 1.25/1.66 , clause( 4097, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X
% 1.25/1.66 ) ), ~( 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~(
% 1.25/1.66 'c_less'( 'c_Finite__Set_OMax'( Z, X ), T, X ) ), 'c_less'( Y, T, X ),
% 1.25/1.66 =( Z, 'c_emptyset' ) ] )
% 1.25/1.66 , clause( 4098, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.25/1.66 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'(
% 1.25/1.66 'c_Main_OMax__less__iff__1'( Y, Z, X ), Y, X ), 'c_less'(
% 1.25/1.66 'c_Finite__Set_OMax'( Y, X ), Z, X ), =( Y, 'c_emptyset' ) ] )
% 1.25/1.66 , clause( 4099, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.25/1.66 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_less'(
% 1.25/1.66 'c_Main_OMax__less__iff__1'( Y, Z, X ), Z, X ) ), 'c_less'(
% 1.25/1.66 'c_Finite__Set_OMax'( Y, X ), Z, X ), =( Y, 'c_emptyset' ) ] )
% 1.25/1.66 , clause( 4100, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.25/1.66 'c_Finite__Set_OMax'( 'c_insert'( Y, 'c_emptyset', X ), X ), Y ) ] )
% 1.25/1.66 , clause( 4101, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X
% 1.25/1.66 ) ), ~( 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~(
% 1.25/1.66 'c_lessequals'( T, 'c_Finite__Set_OMin'( Z, X ), X ) ), 'c_lessequals'( T
% 1.25/1.66 , Y, X ), =( Z, 'c_emptyset' ) ] )
% 1.25/1.66 , clause( 4102, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.25/1.66 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'(
% 1.25/1.66 'c_Main_OMin__ge__iff__1'( Y, Z, X ), Y, X ), 'c_lessequals'( Z,
% 1.25/1.66 'c_Finite__Set_OMin'( Y, X ), X ), =( Y, 'c_emptyset' ) ] )
% 1.25/1.66 , clause( 4103, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.25/1.66 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_lessequals'( Z,
% 1.25/1.66 'c_Main_OMin__ge__iff__1'( Y, Z, X ), X ) ), 'c_lessequals'( Z,
% 1.25/1.66 'c_Finite__Set_OMin'( Y, X ), X ), =( Y, 'c_emptyset' ) ] )
% 1.25/1.66 , clause( 4104, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X
% 1.25/1.66 ) ), ~( 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~(
% 1.25/1.66 'c_less'( T, 'c_Finite__Set_OMin'( Z, X ), X ) ), 'c_less'( T, Y, X ),
% 1.25/1.66 =( Z, 'c_emptyset' ) ] )
% 1.25/1.66 , clause( 4105, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.25/1.66 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'(
% 1.25/1.66 'c_Main_OMin__gr__iff__1'( Y, Z, X ), Y, X ), 'c_less'( Z,
% 1.25/1.66 'c_Finite__Set_OMin'( Y, X ), X ), =( Y, 'c_emptyset' ) ] )
% 1.25/1.66 , clause( 4106, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.25/1.66 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_less'( Z,
% 1.25/1.66 'c_Main_OMin__gr__iff__1'( Y, Z, X ), X ) ), 'c_less'( Z,
% 1.25/1.66 'c_Finite__Set_OMin'( Y, X ), X ), =( Y, 'c_emptyset' ) ] )
% 1.25/1.66 , clause( 4107, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.25/1.66 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'( 'c_Finite__Set_OMin'(
% 1.25/1.66 Y, X ), Y, X ), =( Y, 'c_emptyset' ) ] )
% 1.25/1.66 , clause( 4108, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.25/1.66 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), =( Y, 'c_emptyset' ), =(
% 1.25/1.66 'c_Finite__Set_OMin'( 'c_insert'( Z, Y, X ), X ), 'c_Orderings_Omin'( Z,
% 1.25/1.66 'c_Finite__Set_OMin'( Y, X ), X ) ) ] )
% 1.25/1.66 , clause( 4109, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X
% 1.25/1.66 ) ), ~( 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ),
% 1.25/1.66 'c_lessequals'( 'c_Finite__Set_OMin'( Z, X ), Y, X ), =( Z, 'c_emptyset'
% 1.25/1.66 ) ] )
% 1.25/1.66 , clause( 4110, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.25/1.66 'c_Finite__Set_OMin'( 'c_insert'( Y, 'c_emptyset', X ), X ), Y ) ] )
% 1.25/1.66 , clause( 4111, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) )
% 1.25/1.66 , ~( =( 'c_Finite__Set_Ocard'( X, Y ), 'c_0' ) ), =( X, 'c_emptyset' ) ]
% 1.25/1.66 )
% 1.25/1.66 , clause( 4112, [ ~( 'c_in'( 'c_emptyset', 'c_Finite__Set_OFinites',
% 1.25/1.66 'tc_set'( X ) ) ), =( 'c_Finite__Set_Ocard'( 'c_emptyset', X ), 'c_0' ) ]
% 1.25/1.66 )
% 1.25/1.66 , clause( 4113, [ =( 'c_Finite__Set_Ocard'( 'c_emptyset', X ), 'c_0' ) ] )
% 1.25/1.66 , clause( 4114, [ 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ), =(
% 1.25/1.66 'c_Finite__Set_Ocard'( X, Y ), 'c_0' ) ] )
% 1.25/1.66 , clause( 4115, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) )
% 1.25/1.66 , 'c_in'( Z, X, Y ), =( 'c_Finite__Set_Ocard'( 'c_insert'( Z, X, Y ), Y )
% 1.25/1.66 , 'c_Suc'( 'c_Finite__Set_Ocard'( X, Y ) ) ) ] )
% 1.25/1.66 , clause( 4116, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) )
% 1.25/1.66 , 'c_in'( 'c_minus'( X, Z, 'tc_set'( Y ) ), 'c_Finite__Set_OFinites',
% 1.25/1.66 'tc_set'( Y ) ) ] )
% 1.25/1.66 , clause( 4117, [ ~( 'c_in'( 'c_minus'( X, 'c_insert'( Y, Z, T ), 'tc_set'(
% 1.25/1.66 T ) ), 'c_Finite__Set_OFinites', 'tc_set'( T ) ) ), 'c_in'( 'c_minus'( X
% 1.25/1.66 , Z, 'tc_set'( T ) ), 'c_Finite__Set_OFinites', 'tc_set'( T ) ) ] )
% 1.25/1.66 , clause( 4118, [ ~( 'c_in'( 'c_minus'( X, Y, 'tc_set'( Z ) ),
% 1.25/1.66 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ), 'c_in'( 'c_minus'( X,
% 1.25/1.66 'c_insert'( T, Y, Z ), 'tc_set'( Z ) ), 'c_Finite__Set_OFinites',
% 1.25/1.66 'tc_set'( Z ) ) ] )
% 1.25/1.66 , clause( 4119, [ ~( 'c_in'( 'c_Pow'( X, Y ), 'c_Finite__Set_OFinites',
% 1.25/1.66 'tc_set'( 'tc_set'( Y ) ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites',
% 1.25/1.66 'tc_set'( Y ) ) ] )
% 1.25/1.66 , clause( 4120, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) )
% 1.25/1.66 , 'c_in'( 'c_Pow'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'(
% 1.25/1.66 Y ) ) ) ] )
% 1.25/1.66 , clause( 4121, [ ~( 'c_in'( 'c_union'( X, Y, Z ), 'c_Finite__Set_OFinites'
% 1.25/1.66 , 'tc_set'( Z ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Z ) )
% 1.25/1.66 ] )
% 1.25/1.66 , clause( 4122, [ ~( 'c_in'( 'c_union'( X, Y, Z ), 'c_Finite__Set_OFinites'
% 1.25/1.66 , 'tc_set'( Z ) ) ), 'c_in'( Y, 'c_Finite__Set_OFinites', 'tc_set'( Z ) )
% 1.25/1.66 ] )
% 1.25/1.66 , clause( 4123, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) )
% 1.25/1.66 , ~( 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'(
% 1.25/1.66 'c_union'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ] )
% 1.25/1.66 , clause( 4124, [ ~( 'c_in'( 'c_Relation_Oconverse'( X, Y, Z ),
% 1.25/1.66 'c_Finite__Set_OFinites', 'tc_set'( 'tc_prod'( Z, Y ) ) ) ), 'c_in'( X,
% 1.25/1.66 'c_Finite__Set_OFinites', 'tc_set'( 'tc_prod'( Y, Z ) ) ) ] )
% 1.25/1.66 , clause( 4125, [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'(
% 1.25/1.66 'tc_prod'( Y, Z ) ) ) ), 'c_in'( 'c_Relation_Oconverse'( X, Y, Z ),
% 1.25/1.66 'c_Finite__Set_OFinites', 'tc_set'( 'tc_prod'( Z, Y ) ) ) ] )
% 1.25/1.66 , clause( 4126, [ ~( 'c_in'( 'c_insert'( X, Y, Z ),
% 1.25/1.66 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ), 'c_in'( Y,
% 1.25/1.66 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ] )
% 1.25/1.66 , clause( 4127, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.25/1.66 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_lessequals'(
% 1.25/1.66 'c_Finite__Set_OMin'( Y, X ), 'c_Finite__Set_OMax'( Y, X ), X ), =( Y,
% 1.25/1.66 'c_emptyset' ) ] )
% 1.25/1.66 , clause( 4128, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X
% 1.25/1.66 ) ), ~( 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), =( Z,
% 1.25/1.66 'c_emptyset' ), =( 'c_Orderings_Omin'( Y, 'c_Finite__Set_OMax'( Z, X ), X
% 1.25/1.66 ), Y ) ] )
% 1.25/1.66 , clause( 4129, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X
% 1.25/1.66 ) ), ~( 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), =( Z,
% 1.25/1.66 'c_emptyset' ), =( 'c_Orderings_Omax'( Y, 'c_Finite__Set_OMin'( Z, X ), X
% 1.25/1.66 ), Y ) ] )
% 1.25/1.66 , clause( 4130, [ =( 'c_NatArith_Oof__nat'( X, 'tc_nat' ), X ) ] )
% 1.25/1.66 , clause( 4131, [ =( 'c_Fun_Oid'( X, Y ), X ) ] )
% 1.25/1.66 , clause( 4132, [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, 'c_0', 'tc_nat', 'tc_nat' )
% 1.25/1.66 ), X ) ] )
% 1.25/1.66 , clause( 4133, [ =( 'c_GCD_Ogcd'( 'c_Pair'( 'c_0', X, 'tc_nat', 'tc_nat' )
% 1.25/1.66 ), X ) ] )
% 1.25/1.66 , clause( 4134, [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, 'c_Suc'( 'c_0' ), 'tc_nat'
% 1.25/1.66 , 'tc_nat' ) ), 'c_1' ) ] )
% 1.25/1.66 , clause( 4135, [ =( 'c_GCD_Ogcd'( 'c_Pair'( 'c_Suc'( 'c_0' ), X, 'tc_nat'
% 1.25/1.66 , 'tc_nat' ) ), 'c_1' ) ] )
% 1.25/1.66 , clause( 4136, [ =( 'c_GCD_Ogcd'( 'c_Pair'( 'c_plus'( X, Y, 'tc_nat' ), Y
% 1.25/1.66 , 'tc_nat', 'tc_nat' ) ), 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat',
% 1.25/1.66 'tc_nat' ) ) ) ] )
% 1.25/1.66 , clause( 4137, [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, 'c_plus'( X, Y, 'tc_nat' )
% 1.25/1.66 , 'tc_nat', 'tc_nat' ) ), 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat',
% 1.25/1.66 'tc_nat' ) ) ) ] )
% 1.25/1.66 , clause( 4138, [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, 'c_plus'( Y, X, 'tc_nat' )
% 1.25/1.66 , 'tc_nat', 'tc_nat' ) ), 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat',
% 1.25/1.66 'tc_nat' ) ) ) ] )
% 1.25/1.66 , clause( 4139, [ ~( 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Y, Z
% 1.25/1.66 , 'tc_nat', 'tc_nat' ) ), 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, Y,
% 1.25/1.66 'tc_nat' ) ] )
% 1.25/1.66 , clause( 4140, [ ~( 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Y, Z
% 1.25/1.66 , 'tc_nat', 'tc_nat' ) ), 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, Z,
% 1.25/1.66 'tc_nat' ) ] )
% 1.25/1.66 , clause( 4141, [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_nat' ) ), ~(
% 1.25/1.66 'c_Divides_Oop_Advd'( X, Z, 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X,
% 1.25/1.66 'c_GCD_Ogcd'( 'c_Pair'( Z, Y, 'tc_nat', 'tc_nat' ) ), 'tc_nat' ) ] )
% 1.25/1.66 , clause( 4142, [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, 'c_times'( X, Y, 'tc_nat' )
% 1.25/1.66 , 'tc_nat', 'tc_nat' ) ), X ) ] )
% 1.25/1.66 , clause( 4143, [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, X, 'tc_nat', 'tc_nat' ) ),
% 1.25/1.66 X ) ] )
% 1.25/1.66 , clause( 4144, [ ~( 'c_in'( 'c_UNIV', 'c_Finite__Set_OFinites', 'tc_set'(
% 1.25/1.66 'tc_nat' ) ) ) ] )
% 1.25/1.66 , clause( 4145, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.66 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 'c_HOL_Oabs'(
% 1.25/1.66 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), X ), 'c_1' ) ] )
% 1.25/1.66 , clause( 4146, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.66 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.66 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 'c_HOL_Oabs'(
% 1.25/1.66 'c_Nat_Opower'( 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), Y, X ), X
% 1.25/1.66 ), 'c_1' ) ] )
% 1.25/1.66 , clause( 4147, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.66 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0',
% 1.25/1.66 'c_Numeral_Onumber__of'( Y, X ), X ) ), 'c_IntDef_Oneg'(
% 1.25/1.66 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls',
% 1.25/1.66 'c_Numeral_Obin__minus'( Y ) ), X ), X ) ] )
% 1.25/1.66 , clause( 4148, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.66 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.25/1.66 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls',
% 1.25/1.66 'c_Numeral_Obin__minus'( Y ) ), X ), X ) ), 'c_less'( 'c_0',
% 1.25/1.66 'c_Numeral_Onumber__of'( Y, X ), X ) ] )
% 1.25/1.66 , clause( 4149, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.66 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_1',
% 1.25/1.66 'c_Numeral_Onumber__of'( Y, X ), X ) ), 'c_IntDef_Oneg'(
% 1.25/1.66 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'(
% 1.25/1.66 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.25/1.66 , X ), X ) ] )
% 1.25/1.66 , clause( 4150, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.66 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.25/1.66 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'(
% 1.25/1.66 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.25/1.66 , X ), X ) ), 'c_less'( 'c_1', 'c_Numeral_Onumber__of'( Y, X ), X ) ] )
% 1.25/1.66 , clause( 4151, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.66 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'(
% 1.25/1.66 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), 'c_IntDef_Oneg'(
% 1.25/1.66 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.25/1.66 'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ) ] )
% 1.25/1.66 , clause( 4152, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.66 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.25/1.66 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.25/1.66 'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ) ), 'c_less'(
% 1.25/1.66 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ] )
% 1.25/1.66 , clause( 4153, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.66 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'(
% 1.25/1.66 'c_Numeral_Onumber__of'( Y, X ), 'c_1', X ) ), 'c_IntDef_Oneg'(
% 1.25/1.66 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.25/1.66 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.25/1.66 'c_Numeral_Obit_OB1' ) ) ), X ), X ) ] )
% 1.25/1.66 , clause( 4154, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.66 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.25/1.66 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.25/1.66 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.25/1.66 'c_Numeral_Obit_OB1' ) ) ), X ), X ) ), 'c_less'( 'c_Numeral_Onumber__of'(
% 1.25/1.66 Y, X ), 'c_1', X ) ] )
% 1.25/1.66 , clause( 4155, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.66 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.25/1.66 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.25/1.66 'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ) ), ~(
% 1.25/1.66 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ) ] )
% 1.25/1.66 , clause( 4156, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.66 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'(
% 1.25/1.66 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.25/1.66 'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ), 'c_lessequals'(
% 1.25/1.66 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ] )
% 1.25/1.66 , clause( 4157, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.66 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.25/1.66 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.25/1.66 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.25/1.66 'c_Numeral_Obit_OB1' ) ) ), X ), X ) ), ~( 'c_lessequals'( 'c_1',
% 1.25/1.66 'c_Numeral_Onumber__of'( Y, X ), X ) ) ] )
% 1.25/1.66 , clause( 4158, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.66 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'(
% 1.25/1.66 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.25/1.66 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.25/1.66 'c_Numeral_Obit_OB1' ) ) ), X ), X ), 'c_lessequals'( 'c_1',
% 1.25/1.66 'c_Numeral_Onumber__of'( Y, X ), X ) ] )
% 1.25/1.66 , clause( 4159, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.66 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.25/1.66 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls',
% 1.25/1.66 'c_Numeral_Obin__minus'( Y ) ), X ), X ) ), ~( 'c_lessequals'(
% 1.25/1.66 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ) ] )
% 1.25/1.66 , clause( 4160, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.66 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'(
% 1.25/1.66 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls',
% 1.25/1.66 'c_Numeral_Obin__minus'( Y ) ), X ), X ), 'c_lessequals'(
% 1.25/1.66 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ] )
% 1.25/1.66 , clause( 4161, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.66 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.25/1.66 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'(
% 1.25/1.66 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.25/1.66 , X ), X ) ), ~( 'c_lessequals'( 'c_Numeral_Onumber__of'( Y, X ), 'c_1',
% 1.25/1.66 X ) ) ] )
% 1.25/1.66 , clause( 4162, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.66 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'(
% 1.25/1.66 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'(
% 1.25/1.66 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.25/1.66 , X ), X ), 'c_lessequals'( 'c_Numeral_Onumber__of'( Y, X ), 'c_1', X ) ]
% 1.25/1.66 )
% 1.25/1.66 , clause( 4163, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'(
% 1.25/1.66 'c_1', 'c_1', X ), 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.25/1.66 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.25/1.66 'c_Numeral_Obit_OB0' ), X ) ) ] )
% 1.25/1.66 , clause( 4164, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'(
% 1.25/1.66 'c_1', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'(
% 1.25/1.66 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.25/1.66 'c_Numeral_Obit_OB1' ), Y ), X ) ) ] )
% 1.25/1.66 , clause( 4165, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'(
% 1.25/1.66 'c_Numeral_Onumber__of'( Y, X ), 'c_1', X ), 'c_Numeral_Onumber__of'(
% 1.25/1.66 'c_Numeral_Obin__add'( Y, 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.25/1.66 'c_Numeral_Obit_OB1' ) ), X ) ) ] )
% 1.25/1.66 , clause( 4166, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_minus'(
% 1.25/1.66 'c_1', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'(
% 1.25/1.66 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.25/1.66 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) ), X ) ) ] )
% 1.25/1.66 , clause( 4167, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_minus'(
% 1.25/1.66 'c_Numeral_Onumber__of'( Y, X ), 'c_1', X ), 'c_Numeral_Onumber__of'(
% 1.25/1.66 'c_Numeral_Obin__add'( Y, 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'(
% 1.25/1.66 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ) ) ), X ) ) ] )
% 1.25/1.66 , clause( 4168, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( =( 'c_0',
% 1.25/1.66 'c_Numeral_Onumber__of'( Y, X ) ) ), 'c_IntDef_Oiszero'(
% 1.25/1.66 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls',
% 1.25/1.66 'c_Numeral_Obin__minus'( Y ) ), X ), X ) ] )
% 1.25/1.66 , clause( 4169, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.66 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'(
% 1.25/1.66 'c_Numeral_OPls', 'c_Numeral_Obin__minus'( Y ) ), X ), X ) ), =( 'c_0',
% 1.25/1.66 'c_Numeral_Onumber__of'( Y, X ) ) ] )
% 1.25/1.66 , clause( 4170, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( =( 'c_1',
% 1.25/1.66 'c_Numeral_Onumber__of'( Y, X ) ) ), 'c_IntDef_Oiszero'(
% 1.25/1.66 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'(
% 1.25/1.66 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.25/1.66 , X ), X ) ] )
% 1.25/1.66 , clause( 4171, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.66 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'(
% 1.25/1.66 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.25/1.66 'c_Numeral_Obin__minus'( Y ) ), X ), X ) ), =( 'c_1',
% 1.25/1.66 'c_Numeral_Onumber__of'( Y, X ) ) ] )
% 1.25/1.66 , clause( 4172, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( =(
% 1.25/1.66 'c_Numeral_Onumber__of'( Y, X ), 'c_0' ) ), 'c_IntDef_Oiszero'(
% 1.25/1.66 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.25/1.66 'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ) ] )
% 1.25/1.66 , clause( 4173, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.66 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.25/1.66 'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ) ), =(
% 1.25/1.66 'c_Numeral_Onumber__of'( Y, X ), 'c_0' ) ] )
% 1.25/1.66 , clause( 4174, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( =(
% 1.25/1.66 'c_Numeral_Onumber__of'( Y, X ), 'c_1' ) ), 'c_IntDef_Oiszero'(
% 1.25/1.66 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.25/1.66 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.25/1.66 'c_Numeral_Obit_OB1' ) ) ), X ), X ) ] )
% 1.25/1.66 , clause( 4175, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.66 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.25/1.66 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.25/1.66 'c_Numeral_Obit_OB1' ) ) ), X ), X ) ), =( 'c_Numeral_Onumber__of'( Y, X
% 1.25/1.66 ), 'c_1' ) ] )
% 1.25/1.66 , clause( 4176, [ ~( =( 'c_IntDef_Oint'( X ), 'c_Numeral_Onumber__of'( Y,
% 1.25/1.66 'tc_IntDef_Oint' ) ) ), =( X, 'c_IntDef_Onat'( 'c_Numeral_Onumber__of'( Y
% 1.25/1.66 , 'tc_IntDef_Oint' ) ) ) ] )
% 1.25/1.66 , clause( 4177, [ ~( =( 'c_IntDef_Oint'( X ), 'c_Numeral_Onumber__of'( Y,
% 1.25/1.66 'tc_IntDef_Oint' ) ) ), 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Y
% 1.25/1.66 , 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 4178, [ ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( X,
% 1.25/1.66 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_IntDef_Oint'(
% 1.25/1.66 'c_IntDef_Onat'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ) ) ),
% 1.25/1.66 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.66 , clause( 4179, [ =( 'c_IntDef_Onat'( 'c_1' ), 'c_Suc'( 'c_0' ) ) ] )
% 1.25/1.66 , clause( 4180, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =(
% 1.25/1.66 'c_IntDef_Oof__int'( 'c_Numeral_Onumber__of'( 'c_Numeral_OMin',
% 1.25/1.66 'tc_IntDef_Oint' ), X ), 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ) )
% 1.25/1.66 ] )
% 1.25/1.66 , clause( 4181, [ ~( 'c_less'( 'c_Suc'( 'c_0' ), 'c_IntDef_Onat'( X ),
% 1.25/1.66 'tc_nat' ) ), 'c_less'( 'c_1', X, 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 4182, [ ~( 'c_less'( 'c_1', X, 'tc_IntDef_Oint' ) ), 'c_less'(
% 1.25/1.66 'c_Suc'( 'c_0' ), 'c_IntDef_Onat'( X ), 'tc_nat' ) ] )
% 1.25/1.66 , clause( 4183, [ =( 'c_plus'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ),
% 1.25/1.66 'tc_IntDef_Oint' ), 'c_minus'( X, Y, 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.66 , clause( 4184, [ ~( 'c_less'( 'c_HOL_Oabs'( X, 'tc_IntDef_Oint' ), 'c_1',
% 1.25/1.66 'tc_IntDef_Oint' ) ), =( X, 'c_0' ) ] )
% 1.25/1.66 , clause( 4185, [ 'c_less'( 'c_HOL_Oabs'( 'c_0', 'tc_IntDef_Oint' ), 'c_1'
% 1.25/1.66 , 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 4186, [ ~( 'c_less'( X, 'c_plus'( Y, 'c_1', 'tc_IntDef_Oint' ),
% 1.25/1.66 'tc_IntDef_Oint' ) ), 'c_lessequals'( X, Y, 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 4187, [ ~( 'c_lessequals'( X, Y, 'tc_IntDef_Oint' ) ), 'c_less'(
% 1.25/1.66 X, 'c_plus'( Y, 'c_1', 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 4188, [ ~( 'c_lessequals'( X, 'c_minus'( Y, 'c_1',
% 1.25/1.66 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_less'( X, Y,
% 1.25/1.66 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 4189, [ ~( 'c_less'( X, Y, 'tc_IntDef_Oint' ) ), 'c_lessequals'(
% 1.25/1.66 X, 'c_minus'( Y, 'c_1', 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 4190, [ ~( 'c_in'( X, 'c_IntDef_OInteg', 'tc_set'( 'tc_prod'(
% 1.25/1.66 'tc_nat', 'tc_nat' ) ) ) ), ~( 'c_in'( Y, 'c_IntDef_OInteg', 'tc_set'(
% 1.25/1.66 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ), ~( =( 'c_IntDef_OAbs__Integ'( Y )
% 1.25/1.66 , 'c_IntDef_OAbs__Integ'( X ) ) ), =( Y, X ) ] )
% 1.25/1.66 , clause( 4191, [ ~( 'c_in'( X, 'c_IntDef_OInteg', 'tc_set'( 'tc_prod'(
% 1.25/1.66 'tc_nat', 'tc_nat' ) ) ) ), =( 'c_IntDef_ORep__Integ'(
% 1.25/1.66 'c_IntDef_OAbs__Integ'( X ) ), X ) ] )
% 1.25/1.66 , clause( 4192, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'c_in'(
% 1.25/1.66 'c_0', 'c_IntDef_OInts', X ) ] )
% 1.25/1.66 , clause( 4193, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'c_in'(
% 1.25/1.66 'c_1', 'c_IntDef_OInts', X ) ] )
% 1.25/1.66 , clause( 4194, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~(
% 1.25/1.66 'c_in'( Y, 'c_IntDef_OInts', X ) ), ~( 'c_in'( Z, 'c_IntDef_OInts', X ) )
% 1.25/1.66 , 'c_in'( 'c_plus'( Z, Y, X ), 'c_IntDef_OInts', X ) ] )
% 1.25/1.66 , clause( 4195, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~(
% 1.25/1.66 'c_in'( Y, 'c_IntDef_OInts', X ) ), ~( 'c_in'( Z, 'c_IntDef_OInts', X ) )
% 1.25/1.66 , 'c_in'( 'c_minus'( Z, Y, X ), 'c_IntDef_OInts', X ) ] )
% 1.25/1.66 , clause( 4196, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~(
% 1.25/1.66 'c_in'( Y, 'c_IntDef_OInts', X ) ), 'c_in'( 'c_uminus'( Y, X ),
% 1.25/1.66 'c_IntDef_OInts', X ) ] )
% 1.25/1.66 , clause( 4197, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~(
% 1.25/1.66 'c_in'( Y, 'c_IntDef_OInts', X ) ), ~( 'c_in'( Z, 'c_IntDef_OInts', X ) )
% 1.25/1.66 , 'c_in'( 'c_times'( Z, Y, X ), 'c_IntDef_OInts', X ) ] )
% 1.25/1.66 , clause( 4198, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.25/1.66 ) ), 'c_in'( 'c_0', 'c_IntDef_ONats', X ) ] )
% 1.25/1.66 , clause( 4199, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.25/1.66 ) ), 'c_in'( 'c_1', 'c_IntDef_ONats', X ) ] )
% 1.25/1.66 , clause( 4200, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.25/1.66 ) ), ~( 'c_in'( Y, 'c_IntDef_ONats', X ) ), ~( 'c_in'( Z,
% 1.25/1.66 'c_IntDef_ONats', X ) ), 'c_in'( 'c_plus'( Z, Y, X ), 'c_IntDef_ONats', X
% 1.25/1.66 ) ] )
% 1.25/1.66 , clause( 4201, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.25/1.66 ) ), ~( 'c_in'( Y, 'c_IntDef_ONats', X ) ), ~( 'c_in'( Z,
% 1.25/1.66 'c_IntDef_ONats', X ) ), 'c_in'( 'c_times'( Z, Y, X ), 'c_IntDef_ONats',
% 1.25/1.66 X ) ] )
% 1.25/1.66 , clause( 4202, [ =( 'c_HOL_Oabs'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' )
% 1.25/1.66 , 'c_IntDef_Oint'( X ) ) ] )
% 1.25/1.66 , clause( 4203, [ ~( =( 'c_Relation_OImage'( 'c_IntDef_Ointrel', 'c_insert'(
% 1.25/1.66 X, 'c_emptyset', 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'tc_prod'( 'tc_nat',
% 1.25/1.66 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'c_Relation_OImage'(
% 1.25/1.66 'c_IntDef_Ointrel', 'c_insert'( Y, 'c_emptyset', 'tc_prod'( 'tc_nat',
% 1.25/1.66 'tc_nat' ) ), 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat',
% 1.25/1.66 'tc_nat' ) ) ) ), 'c_in'( 'c_Pair'( X, Y, 'tc_prod'( 'tc_nat', 'tc_nat' )
% 1.25/1.66 , 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'c_IntDef_Ointrel', 'tc_prod'(
% 1.25/1.66 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ] )
% 1.25/1.66 , clause( 4204, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_prod'( 'tc_nat', 'tc_nat'
% 1.25/1.66 ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'c_IntDef_Ointrel', 'tc_prod'(
% 1.25/1.66 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ),
% 1.25/1.66 =( 'c_Relation_OImage'( 'c_IntDef_Ointrel', 'c_insert'( X, 'c_emptyset',
% 1.25/1.66 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'tc_prod'( 'tc_nat', 'tc_nat' ),
% 1.25/1.66 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'c_Relation_OImage'(
% 1.25/1.66 'c_IntDef_Ointrel', 'c_insert'( Y, 'c_emptyset', 'tc_prod'( 'tc_nat',
% 1.25/1.66 'tc_nat' ) ), 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat',
% 1.25/1.66 'tc_nat' ) ) ) ] )
% 1.25/1.66 , clause( 4205, [ ~( =( 'c_0', 'c_1' ) ) ] )
% 1.25/1.66 , clause( 4206, [ =( 'c_IntDef_Oint'( 'c_1' ), 'c_1' ) ] )
% 1.25/1.66 , clause( 4207, [ =( 'c_IntDef_Oint'( 'c_Suc'( X ) ), 'c_plus'( 'c_1',
% 1.25/1.66 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.66 , clause( 4208, [ ~( =( 'c_IntDef_Oint'( X ), 'c_0' ) ), =( X, 'c_0' ) ] )
% 1.25/1.66 , clause( 4209, [ =( 'c_IntDef_Oint'( 'c_0' ), 'c_0' ) ] )
% 1.25/1.66 , clause( 4210, [ ~( =( 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ) ) ), =(
% 1.25/1.66 X, Y ) ] )
% 1.25/1.66 , clause( 4211, [ ~( 'c_lessequals'( 'c_IntDef_Oint'( X ), 'c_0',
% 1.25/1.66 'tc_IntDef_Oint' ) ), =( X, 'c_0' ) ] )
% 1.25/1.66 , clause( 4212, [ 'c_lessequals'( 'c_IntDef_Oint'( 'c_0' ), 'c_0',
% 1.25/1.66 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 4213, [ ~( 'c_less'( 'c_IntDef_Oint'( X ), 'c_0',
% 1.25/1.66 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.66 , clause( 4214, [ ~( 'c_lessequals'( 'c_0', X, 'tc_IntDef_Oint' ) ), =(
% 1.25/1.66 'c_IntDef_Oint'( 'c_IntDef_Onat'( X ) ), X ) ] )
% 1.25/1.66 , clause( 4215, [ 'c_lessequals'( 'c_0', X, 'tc_IntDef_Oint' ), =(
% 1.25/1.66 'c_IntDef_Oint'( 'c_IntDef_Onat'( X ) ), 'c_0' ) ] )
% 1.25/1.66 , clause( 4216, [ 'c_in'( 'c_Relation_OImage'( 'c_IntDef_Ointrel',
% 1.25/1.66 'c_insert'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ), 'c_emptyset', 'tc_prod'(
% 1.25/1.66 'tc_nat', 'tc_nat' ) ), 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'(
% 1.25/1.66 'tc_nat', 'tc_nat' ) ), 'c_IntDef_OInteg', 'tc_set'( 'tc_prod'( 'tc_nat'
% 1.25/1.66 , 'tc_nat' ) ) ) ] )
% 1.25/1.66 , clause( 4217, [ ~( 'c_in'( 'c_Pair'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' )
% 1.25/1.66 , 'c_Pair'( Z, T, 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ),
% 1.25/1.66 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'c_IntDef_Ointrel', 'tc_prod'(
% 1.25/1.66 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ),
% 1.25/1.66 =( 'c_plus'( X, T, 'tc_nat' ), 'c_plus'( Z, Y, 'tc_nat' ) ) ] )
% 1.25/1.66 , clause( 4218, [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_plus'( Z, T,
% 1.25/1.66 'tc_nat' ) ) ), 'c_in'( 'c_Pair'( 'c_Pair'( X, T, 'tc_nat', 'tc_nat' ),
% 1.25/1.66 'c_Pair'( Z, Y, 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ),
% 1.25/1.66 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'c_IntDef_Ointrel', 'tc_prod'(
% 1.25/1.66 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ] )
% 1.25/1.66 , clause( 4219, [ =( 'c_IntDef_Onat'( 'c_IntDef_Oint'( X ) ), X ) ] )
% 1.25/1.66 , clause( 4220, [ ~( 'c_lessequals'( X, 'c_0', 'tc_IntDef_Oint' ) ), =(
% 1.25/1.66 'c_IntDef_Onat'( X ), 'c_0' ) ] )
% 1.25/1.66 , clause( 4221, [ =( 'c_IntDef_Onat'( 'c_0' ), 'c_0' ) ] )
% 1.25/1.66 , clause( 4222, [ =( 'c_IntDef_Onat'( 'c_uminus'( 'c_IntDef_Oint'( X ),
% 1.25/1.66 'tc_IntDef_Oint' ) ), 'c_0' ) ] )
% 1.25/1.66 , clause( 4223, [ 'c_IntDef_Oneg'( 'c_uminus'( 'c_IntDef_Oint'( 'c_Suc'( X
% 1.25/1.66 ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 4224, [ ~( =( 'c_uminus'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint'
% 1.25/1.66 ), 'c_IntDef_Oint'( Y ) ) ), =( X, 'c_0' ) ] )
% 1.25/1.66 , clause( 4225, [ ~( =( 'c_uminus'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint'
% 1.25/1.66 ), 'c_IntDef_Oint'( Y ) ) ), =( Y, 'c_0' ) ] )
% 1.25/1.66 , clause( 4226, [ =( 'c_uminus'( 'c_IntDef_Oint'( 'c_0' ), 'tc_IntDef_Oint'
% 1.25/1.66 ), 'c_IntDef_Oint'( 'c_0' ) ) ] )
% 1.25/1.66 , clause( 4227, [ ~( 'c_less'( 'c_IntDef_Oint'( X ), 'c_uminus'(
% 1.25/1.66 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.66 , clause( 4228, [ ~( 'c_IntDef_Oneg'( 'c_IntDef_Oint'( X ),
% 1.25/1.66 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.66 , clause( 4229, [ ~( 'c_lessequals'( 'c_0', 'c_uminus'( 'c_IntDef_Oint'(
% 1.25/1.66 'c_Suc'( X ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.66 , clause( 4230, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.25/1.66 'c_0', 'c_IntDef_Oof__int'( Y, X ) ) ), =( 'c_0', Y ) ] )
% 1.25/1.66 , clause( 4231, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.25/1.66 'c_0', 'c_IntDef_Oof__int'( 'c_0', X ) ) ] )
% 1.25/1.66 , clause( 4232, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.25/1.66 'c_lessequals'( 'c_0', 'c_IntDef_Oof__int'( Y, X ), X ) ), 'c_lessequals'(
% 1.25/1.66 'c_0', Y, 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 4233, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.25/1.66 'c_lessequals'( 'c_0', Y, 'tc_IntDef_Oint' ) ), 'c_lessequals'( 'c_0',
% 1.25/1.66 'c_IntDef_Oof__int'( Y, X ), X ) ] )
% 1.25/1.66 , clause( 4234, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.25/1.66 'c_less'( 'c_0', 'c_IntDef_Oof__int'( Y, X ), X ) ), 'c_less'( 'c_0', Y,
% 1.25/1.66 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 4235, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.25/1.66 'c_less'( 'c_0', Y, 'tc_IntDef_Oint' ) ), 'c_less'( 'c_0',
% 1.25/1.66 'c_IntDef_Oof__int'( Y, X ), X ) ] )
% 1.25/1.66 , clause( 4236, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.25/1.66 'c_IntDef_Oof__int'( 'c_1', X ), 'c_1' ) ] )
% 1.25/1.66 , clause( 4237, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.25/1.66 'c_IntDef_Oof__int'( 'c_plus'( Y, Z, 'tc_IntDef_Oint' ), X ), 'c_plus'(
% 1.25/1.66 'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ), X ) ) ] )
% 1.25/1.66 , clause( 4238, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.25/1.66 'c_IntDef_Oof__int'( 'c_minus'( Y, Z, 'tc_IntDef_Oint' ), X ), 'c_minus'(
% 1.25/1.66 'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ), X ) ) ] )
% 1.25/1.66 , clause( 4239, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.25/1.66 'c_IntDef_Oof__int'( Y, X ), 'c_0' ) ), =( Y, 'c_0' ) ] )
% 1.25/1.66 , clause( 4240, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.25/1.66 'c_IntDef_Oof__int'( 'c_0', X ), 'c_0' ) ] )
% 1.25/1.66 , clause( 4241, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.25/1.66 'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ) ) ), =( Y, Z ) ]
% 1.25/1.66 )
% 1.25/1.66 , clause( 4242, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.25/1.66 'c_IntDef_Oof__int'( 'c_IntDef_Oint'( Y ), X ), 'c_NatArith_Oof__nat'( Y
% 1.25/1.66 , X ) ) ] )
% 1.25/1.66 , clause( 4243, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.25/1.66 'c_lessequals'( 'c_IntDef_Oof__int'( Y, X ), 'c_0', X ) ), 'c_lessequals'(
% 1.25/1.66 Y, 'c_0', 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 4244, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.25/1.66 'c_lessequals'( Y, 'c_0', 'tc_IntDef_Oint' ) ), 'c_lessequals'(
% 1.25/1.66 'c_IntDef_Oof__int'( Y, X ), 'c_0', X ) ] )
% 1.25/1.66 , clause( 4245, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.25/1.66 'c_lessequals'( 'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X )
% 1.25/1.66 , X ) ), 'c_lessequals'( Y, Z, 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 4246, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.25/1.66 'c_lessequals'( Y, Z, 'tc_IntDef_Oint' ) ), 'c_lessequals'(
% 1.25/1.66 'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ), X ) ] )
% 1.25/1.66 , clause( 4247, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.25/1.66 'c_less'( 'c_IntDef_Oof__int'( Y, X ), 'c_0', X ) ), 'c_less'( Y, 'c_0',
% 1.25/1.66 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 4248, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.25/1.66 'c_less'( Y, 'c_0', 'tc_IntDef_Oint' ) ), 'c_less'( 'c_IntDef_Oof__int'(
% 1.25/1.66 Y, X ), 'c_0', X ) ] )
% 1.25/1.66 , clause( 4249, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.25/1.66 'c_less'( 'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ), X ) )
% 1.25/1.66 , 'c_less'( Y, Z, 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 4250, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.25/1.66 'c_less'( Y, Z, 'tc_IntDef_Oint' ) ), 'c_less'( 'c_IntDef_Oof__int'( Y, X
% 1.25/1.66 ), 'c_IntDef_Oof__int'( Z, X ), X ) ] )
% 1.25/1.66 , clause( 4251, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.25/1.66 'c_IntDef_Oof__int'( 'c_uminus'( Y, 'tc_IntDef_Oint' ), X ), 'c_uminus'(
% 1.25/1.66 'c_IntDef_Oof__int'( Y, X ), X ) ) ] )
% 1.25/1.66 , clause( 4252, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.25/1.66 'c_IntDef_Oof__int'( 'c_times'( Y, Z, 'tc_IntDef_Oint' ), X ), 'c_times'(
% 1.25/1.66 'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ), X ) ) ] )
% 1.25/1.66 , clause( 4253, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.25/1.66 'c_IntDef_Oof__int'( 'c_NatArith_Oof__nat'( Y, 'tc_IntDef_Oint' ), X ),
% 1.25/1.66 'c_NatArith_Oof__nat'( Y, X ) ) ] )
% 1.25/1.66 , clause( 4254, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.25/1.66 ) ), 'c_in'( 'c_NatArith_Oof__nat'( Y, X ), 'c_IntDef_ONats', X ) ] )
% 1.25/1.66 , clause( 4255, [ ~( 'c_less'( 'c_0', 'c_IntDef_Oint'( X ),
% 1.25/1.66 'tc_IntDef_Oint' ) ), 'c_less'( 'c_0', X, 'tc_nat' ) ] )
% 1.25/1.66 , clause( 4256, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0',
% 1.25/1.66 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 4257, [ ~( 'c_less'( 'c_0', 'c_IntDef_Onat'( X ), 'tc_nat' ) ),
% 1.25/1.66 'c_less'( 'c_0', X, 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 4258, [ ~( 'c_less'( 'c_0', X, 'tc_IntDef_Oint' ) ), 'c_less'(
% 1.25/1.66 'c_0', 'c_IntDef_Onat'( X ), 'tc_nat' ) ] )
% 1.25/1.66 , clause( 4259, [ 'c_lessequals'( 'c_0', 'c_IntDef_Oint'( X ),
% 1.25/1.66 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 4260, [ ~( 'c_lessequals'( 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'(
% 1.25/1.66 Y ), 'tc_IntDef_Oint' ) ), 'c_lessequals'( X, Y, 'tc_nat' ) ] )
% 1.25/1.66 , clause( 4261, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'(
% 1.25/1.66 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 4262, [ ~( 'c_less'( 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ),
% 1.25/1.66 'tc_IntDef_Oint' ) ), 'c_less'( X, Y, 'tc_nat' ) ] )
% 1.25/1.66 , clause( 4263, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'(
% 1.25/1.66 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 4264, [ ~( 'c_less'( 'c_IntDef_Onat'( X ), 'c_IntDef_Onat'( Y ),
% 1.25/1.66 'tc_nat' ) ), 'c_less'( 'c_0', Y, 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 4265, [ ~( 'c_less'( 'c_IntDef_Onat'( X ), 'c_IntDef_Onat'( Y ),
% 1.25/1.66 'tc_nat' ) ), 'c_less'( X, Y, 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 4266, [ ~( 'c_less'( X, Y, 'tc_IntDef_Oint' ) ), ~( 'c_less'(
% 1.25/1.66 'c_0', Y, 'tc_IntDef_Oint' ) ), 'c_less'( 'c_IntDef_Onat'( X ),
% 1.25/1.66 'c_IntDef_Onat'( Y ), 'tc_nat' ) ] )
% 1.25/1.66 , clause( 4267, [ =( 'c_Divides_Oop_Amod'( X, 'c_0', 'tc_IntDef_Oint' ), X
% 1.25/1.66 ) ] )
% 1.25/1.66 , clause( 4268, [ ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.25/1.66 ), 'c_0', 'tc_IntDef_Oint' ) ), ~( 'c_lessequals'(
% 1.25/1.66 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' )
% 1.25/1.66 ), =( 'c_div'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.25/1.66 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.25/1.66 'c_fst'( 'c_IntDiv_OnegateSnd'( 'c_IntDiv_OposDivAlg'( 'c_Pair'(
% 1.25/1.66 'c_uminus'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.25/1.66 'tc_IntDef_Oint' ), 'c_uminus'( 'c_Numeral_Onumber__of'( Y,
% 1.25/1.66 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.25/1.66 'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.66 , clause( 4269, [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X,
% 1.25/1.66 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_less'(
% 1.25/1.66 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' )
% 1.25/1.66 ), =( 'c_div'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.25/1.66 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.25/1.66 'c_fst'( 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_Numeral_Onumber__of'( Y,
% 1.25/1.66 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.25/1.66 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'tc_IntDef_Oint',
% 1.25/1.66 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.66 , clause( 4270, [ ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.25/1.66 ), 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_div'( 'c_1',
% 1.25/1.66 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.25/1.66 'c_fst'( 'c_IntDiv_OnegateSnd'( 'c_IntDiv_OnegDivAlg'( 'c_Pair'(
% 1.25/1.66 'c_uminus'( 'c_1', 'tc_IntDef_Oint' ), 'c_uminus'(
% 1.25/1.66 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.25/1.66 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint',
% 1.25/1.66 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.66 , clause( 4271, [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X,
% 1.25/1.66 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_less'(
% 1.25/1.66 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' )
% 1.25/1.66 ), =( 'c_div'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.25/1.66 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.25/1.66 'c_fst'( 'c_IntDiv_OnegateSnd'( 'c_IntDiv_OnegDivAlg'( 'c_Pair'(
% 1.25/1.66 'c_uminus'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.25/1.66 'tc_IntDef_Oint' ), 'c_uminus'( 'c_Numeral_Onumber__of'( Y,
% 1.25/1.66 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.25/1.66 'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.66 , clause( 4272, [ ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( X,
% 1.25/1.66 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_div'( 'c_1',
% 1.25/1.66 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.25/1.66 'c_fst'( 'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_1', 'c_Numeral_Onumber__of'(
% 1.25/1.66 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ),
% 1.25/1.66 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.66 , clause( 4273, [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X,
% 1.25/1.66 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_0',
% 1.25/1.66 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =(
% 1.25/1.66 'c_div'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.25/1.66 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.25/1.66 'c_fst'( 'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.66 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.25/1.66 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'tc_IntDef_Oint',
% 1.25/1.66 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.66 , clause( 4274, [ ~( 'c_Divides_Oop_Advd'( X, 'c_uminus'( Y,
% 1.25/1.66 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_Divides_Oop_Advd'( X, Y,
% 1.25/1.66 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 4275, [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ),
% 1.25/1.66 'c_Divides_Oop_Advd'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ),
% 1.25/1.66 'tc_IntDef_Oint' ) ] )
% 1.25/1.66 , clause( 4276, [ =( 'c_div'( 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint'
% 1.25/1.66 ), Y, 'tc_IntDef_Oint' ), 'c_0' ) ] )
% 1.25/1.66 , clause( 4277, [ =( 'c_Divides_Oop_Amod'( 'c_Divides_Oop_Amod'( X, Y,
% 1.25/1.66 'tc_IntDef_Oint' ), Y, 'tc_IntDef_Oint' ), 'c_Divides_Oop_Amod'( X, Y,
% 1.25/1.66 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.66 , clause( 4278, [ ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.25/1.66 ), 'c_0', 'tc_IntDef_Oint' ) ), ~( 'c_lessequals'(
% 1.25/1.66 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' )
% 1.25/1.66 ), =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.25/1.66 ), 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.25/1.66 'c_snd'( 'c_IntDiv_OnegateSnd'( 'c_IntDiv_OposDivAlg'( 'c_Pair'(
% 1.25/1.66 'c_uminus'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.25/1.66 'tc_IntDef_Oint' ), 'c_uminus'( 'c_Numeral_Onumber__of'( Y,
% 1.25/1.66 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.25/1.66 'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.66 , clause( 4279, [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X,
% 1.25/1.66 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_less'(
% 1.25/1.66 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' )
% 1.25/1.66 ), =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint'
% 1.25/1.66 ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.25/1.66 'c_snd'( 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_Numeral_Onumber__of'( Y,
% 1.25/1.66 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.25/1.66 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'tc_IntDef_Oint',
% 1.25/1.66 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.66 , clause( 4280, [ ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.25/1.66 ), 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 'c_1',
% 1.25/1.66 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.25/1.66 'c_snd'( 'c_IntDiv_OnegateSnd'( 'c_IntDiv_OnegDivAlg'( 'c_Pair'(
% 1.25/1.66 'c_uminus'( 'c_1', 'tc_IntDef_Oint' ), 'c_uminus'(
% 1.25/1.66 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.25/1.66 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint',
% 1.25/1.66 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.66 , clause( 4281, [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X,
% 1.25/1.66 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_less'(
% 1.25/1.66 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' )
% 1.25/1.66 ), =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.25/1.66 ), 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.25/1.66 'c_snd'( 'c_IntDiv_OnegateSnd'( 'c_IntDiv_OnegDivAlg'( 'c_Pair'(
% 1.25/1.66 'c_uminus'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.25/1.66 'tc_IntDef_Oint' ), 'c_uminus'( 'c_Numeral_Onumber__of'( Y,
% 1.25/1.66 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.25/1.67 'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.67 , clause( 4282, [ ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( X,
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 'c_1'
% 1.25/1.67 , 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.25/1.67 'c_snd'( 'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_1', 'c_Numeral_Onumber__of'(
% 1.25/1.67 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ),
% 1.25/1.67 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.67 , clause( 4283, [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X,
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_0',
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =(
% 1.25/1.67 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.25/1.67 'c_snd'( 'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.67 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.25/1.67 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'tc_IntDef_Oint',
% 1.25/1.67 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.67 , clause( 4284, [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X,
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_0',
% 1.25/1.67 'c_plus'( 'c_1', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_IntDiv_OnegDivAlg'(
% 1.25/1.67 'c_Pair'( 'c_1', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.25/1.67 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_Pair'( 'c_Numeral_Onumber__of'(
% 1.25/1.67 'c_Numeral_OMin', 'tc_IntDef_Oint' ), 'c_plus'( 'c_1',
% 1.25/1.67 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.25/1.67 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.67 , clause( 4285, [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X,
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_lessequals'( 'c_0', 'c_plus'(
% 1.25/1.67 'c_1', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' )
% 1.25/1.67 , 'tc_IntDef_Oint' ), =( 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_1',
% 1.25/1.67 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.25/1.67 'tc_IntDef_Oint' ) ), 'c_IntDiv_Oadjust'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.67 'tc_IntDef_Oint' ), 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_1', 'c_times'(
% 1.25/1.67 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.25/1.67 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.25/1.67 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ) ) ] )
% 1.25/1.67 , clause( 4286, [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X,
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_0',
% 1.25/1.67 'c_plus'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.25/1.67 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.25/1.67 'tc_IntDef_Oint' ) ), =( 'c_IntDiv_OnegDivAlg'( 'c_Pair'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.25/1.67 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_Pair'(
% 1.25/1.67 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', 'tc_IntDef_Oint' ), 'c_plus'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.25/1.67 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.25/1.67 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.67 , clause( 4287, [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X,
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_lessequals'( 'c_0', 'c_plus'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.25/1.67 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =(
% 1.25/1.67 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_Numeral_Onumber__of'( Y,
% 1.25/1.67 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.25/1.67 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_IntDiv_Oadjust'(
% 1.25/1.67 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_IntDiv_OnegDivAlg'(
% 1.25/1.67 'c_Pair'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_times'(
% 1.25/1.67 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.25/1.67 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.25/1.67 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ) ) ] )
% 1.25/1.67 , clause( 4288, [ =( 'c_IntDiv_OnegDivAlg'( 'c_Pair'(
% 1.25/1.67 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', 'tc_IntDef_Oint' ), X,
% 1.25/1.67 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_Pair'( 'c_Numeral_Onumber__of'(
% 1.25/1.67 'c_Numeral_OMin', 'tc_IntDef_Oint' ), 'c_minus'( X, 'c_1',
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.67 , clause( 4289, [ ~( 'c_less'( X, 'c_0', 'tc_IntDef_Oint' ) ), 'c_less'( X
% 1.25/1.67 , 'c_Divides_Oop_Amod'( Y, X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 1.25/1.67 , clause( 4290, [ ~( 'c_less'( X, 'c_0', 'tc_IntDef_Oint' ) ),
% 1.25/1.67 'c_lessequals'( 'c_Divides_Oop_Amod'( Y, X, 'tc_IntDef_Oint' ), 'c_0',
% 1.25/1.67 'tc_IntDef_Oint' ) ] )
% 1.25/1.67 , clause( 4291, [ =( 'c_IntDiv_OnegateSnd'( 'c_Pair'( X, Y,
% 1.25/1.67 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_Pair'( X, 'c_uminus'( Y,
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.67 , clause( 4292, [ =( 'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_0', X,
% 1.25/1.67 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_Pair'( 'c_0', 'c_0',
% 1.25/1.67 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.67 , clause( 4293, [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X,
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_1',
% 1.25/1.67 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =(
% 1.25/1.67 'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_1', 'c_Numeral_Onumber__of'( X,
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_Pair'(
% 1.25/1.67 'c_0', 'c_1', 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.67 , clause( 4294, [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X,
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_less'( 'c_1',
% 1.25/1.67 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =(
% 1.25/1.67 'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_1', 'c_Numeral_Onumber__of'( X,
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ),
% 1.25/1.67 'c_IntDiv_Oadjust'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.25/1.67 'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_1', 'c_times'(
% 1.25/1.67 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.25/1.67 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.25/1.67 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ) ) ] )
% 1.25/1.67 , clause( 4295, [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X,
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_less'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.25/1.67 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_IntDiv_OposDivAlg'(
% 1.25/1.67 'c_Pair'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.25/1.67 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.25/1.67 'tc_IntDef_Oint' ) ), 'c_Pair'( 'c_0', 'c_Numeral_Onumber__of'( Y,
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.67 , clause( 4296, [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X,
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_less'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.25/1.67 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_IntDiv_OposDivAlg'(
% 1.25/1.67 'c_Pair'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.25/1.67 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.25/1.67 'tc_IntDef_Oint' ) ), 'c_IntDiv_Oadjust'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.67 'tc_IntDef_Oint' ), 'c_IntDiv_OposDivAlg'( 'c_Pair'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_times'(
% 1.25/1.67 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.25/1.67 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.25/1.67 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ) ) ] )
% 1.25/1.67 , clause( 4297, [ ~( 'c_less'( 'c_0', X, 'tc_IntDef_Oint' ) ), 'c_less'(
% 1.25/1.67 'c_Divides_Oop_Amod'( Y, X, 'tc_IntDef_Oint' ), X, 'tc_IntDef_Oint' ) ]
% 1.25/1.67 )
% 1.25/1.67 , clause( 4298, [ ~( 'c_less'( 'c_0', X, 'tc_IntDef_Oint' ) ),
% 1.25/1.67 'c_lessequals'( 'c_0', 'c_Divides_Oop_Amod'( Y, X, 'tc_IntDef_Oint' ),
% 1.25/1.67 'tc_IntDef_Oint' ) ] )
% 1.25/1.67 , clause( 4299, [ =( 'c_Nat_Opower'( X, 'c_0', 'tc_IntDef_Oint' ), 'c_1' )
% 1.25/1.67 ] )
% 1.25/1.67 , clause( 4300, [ =( 'c_Nat_Opower'( X, 'c_Suc'( Y ), 'tc_IntDef_Oint' ),
% 1.25/1.67 'c_times'( X, 'c_Nat_Opower'( X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint'
% 1.25/1.67 ) ) ] )
% 1.25/1.67 , clause( 4301, [ =( 'c_div'( X, 'c_1', 'tc_IntDef_Oint' ), X ) ] )
% 1.25/1.67 , clause( 4302, [ =( 'c_div'( X, 'c_Numeral_Onumber__of'( 'c_Numeral_OMin'
% 1.25/1.67 , 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_uminus'( X, 'tc_IntDef_Oint'
% 1.25/1.67 ) ) ] )
% 1.25/1.67 , clause( 4303, [ =( 'c_div'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( X
% 1.25/1.67 , 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.25/1.67 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ),
% 1.25/1.67 'tc_IntDef_Oint' ), 'c_div'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.25/1.67 ), 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) )
% 1.25/1.67 ] )
% 1.25/1.67 , clause( 4304, [ ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( X,
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_div'(
% 1.25/1.67 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, Z ), 'tc_IntDef_Oint' ),
% 1.25/1.67 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' ),
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_div'( 'c_Numeral_Onumber__of'(
% 1.25/1.67 Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.25/1.67 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.67 , clause( 4305, [ 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( X,
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( Y, 'c_Numeral_Obit_OB0' ), =(
% 1.25/1.67 'c_div'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Z, Y ),
% 1.25/1.67 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( X,
% 1.25/1.67 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_div'(
% 1.25/1.67 'c_plus'( 'c_Numeral_Onumber__of'( Z, 'tc_IntDef_Oint' ), 'c_1',
% 1.25/1.67 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.25/1.67 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.67 , clause( 4306, [ =( X, 'c_0' ), =( 'c_div'( X, X, 'tc_IntDef_Oint' ),
% 1.25/1.67 'c_1' ) ] )
% 1.25/1.67 , clause( 4307, [ =( X, 'c_0' ), =( 'c_div'( 'c_plus'( X, Y,
% 1.25/1.67 'tc_IntDef_Oint' ), X, 'tc_IntDef_Oint' ), 'c_plus'( 'c_div'( Y, X,
% 1.25/1.67 'tc_IntDef_Oint' ), 'c_1', 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.67 , clause( 4308, [ =( X, 'c_0' ), =( 'c_div'( 'c_plus'( Y, X,
% 1.25/1.67 'tc_IntDef_Oint' ), X, 'tc_IntDef_Oint' ), 'c_plus'( 'c_div'( Y, X,
% 1.25/1.67 'tc_IntDef_Oint' ), 'c_1', 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.67 , clause( 4309, [ =( 'c_div'( 'c_0', X, 'tc_IntDef_Oint' ), 'c_0' ) ] )
% 1.25/1.67 , clause( 4310, [ =( 'c_div'( 'c_uminus'( X, 'tc_IntDef_Oint' ), 'c_uminus'(
% 1.25/1.67 Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_div'( X, Y,
% 1.25/1.67 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.67 , clause( 4311, [ =( X, 'c_0' ), =( 'c_div'( 'c_times'( Y, X,
% 1.25/1.67 'tc_IntDef_Oint' ), X, 'tc_IntDef_Oint' ), Y ) ] )
% 1.25/1.67 , clause( 4312, [ =( X, 'c_0' ), =( 'c_div'( 'c_times'( X, Y,
% 1.25/1.67 'tc_IntDef_Oint' ), X, 'tc_IntDef_Oint' ), Y ) ] )
% 1.25/1.67 , clause( 4313, [ ~( 'c_Divides_Oop_Advd'( 'c_0', X, 'tc_IntDef_Oint' ) ),
% 1.25/1.67 =( X, 'c_0' ) ] )
% 1.25/1.67 , clause( 4314, [ 'c_Divides_Oop_Advd'( 'c_0', 'c_0', 'tc_IntDef_Oint' ) ]
% 1.25/1.67 )
% 1.25/1.67 , clause( 4315, [ ~( 'c_Divides_Oop_Advd'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.67 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.25/1.67 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( Y
% 1.25/1.67 , 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.25/1.67 'tc_IntDef_Oint' ), 'c_0' ) ] )
% 1.25/1.67 , clause( 4316, [ ~( =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.67 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.25/1.67 'tc_IntDef_Oint' ), 'c_0' ) ), 'c_Divides_Oop_Advd'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.25/1.67 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 1.25/1.67 , clause( 4317, [ 'c_Divides_Oop_Advd'( X, X, 'tc_IntDef_Oint' ) ] )
% 1.25/1.67 , clause( 4318, [ 'c_lessequals'( 'c_0', 'c_Nat_Opower'( 'c_HOL_Oabs'( X,
% 1.25/1.67 'tc_IntDef_Oint' ), Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 1.25/1.67 , clause( 4319, [ ~( 'c_less'( 'c_0', 'c_Nat_Opower'( 'c_HOL_Oabs'( 'c_0',
% 1.25/1.67 'tc_IntDef_Oint' ), X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( X,
% 1.25/1.67 'c_0' ) ] )
% 1.25/1.67 , clause( 4320, [ 'c_less'( 'c_0', 'c_Nat_Opower'( 'c_HOL_Oabs'( X,
% 1.25/1.67 'tc_IntDef_Oint' ), Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( X,
% 1.25/1.67 'c_0' ) ] )
% 1.25/1.67 , clause( 4321, [ 'c_less'( 'c_0', 'c_Nat_Opower'( 'c_HOL_Oabs'( X,
% 1.25/1.67 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 1.25/1.67 , clause( 4322, [ ~( 'c_Divides_Oop_Advd'( 'c_uminus'( X, 'tc_IntDef_Oint'
% 1.25/1.67 ), Y, 'tc_IntDef_Oint' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint'
% 1.25/1.67 ) ] )
% 1.25/1.67 , clause( 4323, [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ),
% 1.25/1.67 'c_Divides_Oop_Advd'( 'c_uminus'( X, 'tc_IntDef_Oint' ), Y,
% 1.25/1.67 'tc_IntDef_Oint' ) ] )
% 1.25/1.67 , clause( 4324, [ =( 'c_Divides_Oop_Amod'( X, 'c_1', 'tc_IntDef_Oint' ),
% 1.25/1.67 'c_0' ) ] )
% 1.25/1.67 , clause( 4325, [ =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'(
% 1.25/1.67 'c_Numeral_OMin', 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_0' ) ] )
% 1.25/1.67 , clause( 4326, [ =( 'c_Divides_Oop_Amod'( X, X, 'tc_IntDef_Oint' ), 'c_0'
% 1.25/1.67 ) ] )
% 1.25/1.67 , clause( 4327, [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, Y, 'tc_IntDef_Oint'
% 1.25/1.67 ), X, 'tc_IntDef_Oint' ), 'c_Divides_Oop_Amod'( Y, X, 'tc_IntDef_Oint' )
% 1.25/1.67 ) ] )
% 1.25/1.67 , clause( 4328, [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, Y, 'tc_IntDef_Oint'
% 1.25/1.67 ), Y, 'tc_IntDef_Oint' ), 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' )
% 1.25/1.67 ) ] )
% 1.25/1.67 , clause( 4329, [ =( 'c_Divides_Oop_Amod'( 'c_0', X, 'tc_IntDef_Oint' ),
% 1.25/1.67 'c_0' ) ] )
% 1.25/1.67 , clause( 4330, [ =( 'c_Divides_Oop_Amod'( 'c_uminus'( X, 'tc_IntDef_Oint'
% 1.25/1.67 ), 'c_uminus'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_uminus'(
% 1.25/1.67 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.67 , clause( 4331, [ =( 'c_Divides_Oop_Amod'( 'c_times'( X, Y,
% 1.25/1.67 'tc_IntDef_Oint' ), Y, 'tc_IntDef_Oint' ), 'c_0' ) ] )
% 1.25/1.67 , clause( 4332, [ =( 'c_Divides_Oop_Amod'( 'c_times'( X, Y,
% 1.25/1.67 'tc_IntDef_Oint' ), X, 'tc_IntDef_Oint' ), 'c_0' ) ] )
% 1.25/1.67 , clause( 4333, [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ), =(
% 1.25/1.67 'c_LOrder_Ojoin'( Y, Y, X ), Y ) ] )
% 1.25/1.67 , clause( 4334, [ ~( 'class_LOrder_Omeet__semilorder'( X ) ), =(
% 1.25/1.67 'c_LOrder_Omeet'( Y, Y, X ), Y ) ] )
% 1.25/1.67 , clause( 4335, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.25/1.67 'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.25/1.67 ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.25/1.67 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( X, T, Z, Z ), W, 'tc_prod'(
% 1.25/1.67 Z, Z ) ), =( X, T ) ] )
% 1.25/1.67 , clause( 4336, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.25/1.67 'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.25/1.67 ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.25/1.67 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( X, T, Z, Z ), W, 'tc_prod'(
% 1.25/1.67 Z, Z ) ), 'c_in'( 'c_Pair'( Y, U, 'tc_List_Olist'( Z ), 'tc_List_Olist'(
% 1.25/1.67 Z ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.25/1.67 'tc_List_Olist'( Z ) ) ) ] )
% 1.25/1.67 , clause( 4337, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.25/1.67 'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.25/1.67 ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.25/1.67 'tc_List_Olist'( Z ) ) ) ), =( X, T ), =( 'c_Nat_Osize'( Y,
% 1.25/1.67 'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( U, 'tc_List_Olist'( Z ) ) ) ] )
% 1.25/1.67 , clause( 4338, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.25/1.67 'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.25/1.67 ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.25/1.67 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( Y, U, 'tc_List_Olist'( Z )
% 1.25/1.67 , 'tc_List_Olist'( Z ) ), 'c_List_Olex'( W, Z ), 'tc_prod'(
% 1.25/1.67 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ), =( 'c_Nat_Osize'( Y,
% 1.25/1.67 'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( U, 'tc_List_Olist'( Z ) ) ) ] )
% 1.25/1.67 , clause( 4339, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) )
% 1.25/1.67 ), ~( =( 'c_Nat_Osize'( U, 'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( W,
% 1.25/1.67 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, U
% 1.25/1.67 , Z ), 'c_List_Olist_OCons'( Y, W, Z ), 'tc_List_Olist'( Z ),
% 1.25/1.67 'tc_List_Olist'( Z ) ), 'c_List_Olex'( T, Z ), 'tc_prod'( 'tc_List_Olist'(
% 1.25/1.67 Z ), 'tc_List_Olist'( Z ) ) ) ] )
% 1.25/1.67 , clause( 4340, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_List_Olist'( Z ),
% 1.25/1.67 'tc_List_Olist'( Z ) ), 'c_List_Olex'( T, Z ), 'tc_prod'( 'tc_List_Olist'(
% 1.25/1.67 Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'(
% 1.25/1.67 U, X, Z ), 'c_List_Olist_OCons'( U, Y, Z ), 'tc_List_Olist'( Z ),
% 1.25/1.67 'tc_List_Olist'( Z ) ), 'c_List_Olex'( T, Z ), 'tc_prod'( 'tc_List_Olist'(
% 1.25/1.67 Z ), 'tc_List_Olist'( Z ) ) ) ] )
% 1.25/1.67 , clause( 4341, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil',
% 1.25/1.67 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_List_Olex'( Z, Y ),
% 1.25/1.67 'tc_prod'( 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ) ] )
% 1.25/1.67 , clause( 4342, [ ~( 'c_in'( X, 'c_List_Oset'( Y, 'tc_List_Olist'( Z ) ),
% 1.25/1.67 'tc_List_Olist'( Z ) ) ), ~( =( 'c_List_Olist_ONil', 'c_List_Oconcat'( Y
% 1.25/1.67 , Z ) ) ), =( X, 'c_List_Olist_ONil' ) ] )
% 1.25/1.67 , clause( 4343, [ 'c_in'( 'c_Main_ONil__eq__concat__conv__1'( X, Y ),
% 1.25/1.67 'c_List_Oset'( X, 'tc_List_Olist'( Y ) ), 'tc_List_Olist'( Y ) ), =(
% 1.25/1.67 'c_List_Olist_ONil', 'c_List_Oconcat'( X, Y ) ) ] )
% 1.25/1.67 , clause( 4344, [ ~( =( 'c_Main_ONil__eq__concat__conv__1'( X, Y ),
% 1.25/1.67 'c_List_Olist_ONil' ) ), =( 'c_List_Olist_ONil', 'c_List_Oconcat'( X, Y )
% 1.25/1.67 ) ] )
% 1.25/1.67 , clause( 4345, [ ~( =( 'c_List_Olist_ONil', 'c_append'( X, Y, Z ) ) ), =(
% 1.25/1.67 X, 'c_List_Olist_ONil' ) ] )
% 1.25/1.67 , clause( 4346, [ ~( =( 'c_List_Olist_ONil', 'c_append'( X, Y, Z ) ) ), =(
% 1.25/1.67 Y, 'c_List_Olist_ONil' ) ] )
% 1.25/1.67 , clause( 4347, [ =( 'c_List_Olist_ONil', 'c_append'( 'c_List_Olist_ONil',
% 1.25/1.67 'c_List_Olist_ONil', X ) ) ] )
% 1.25/1.67 , clause( 4348, [ ~( =( 'c_List_Olist_ONil', 'c_List_Orev'( X, Y ) ) ), =(
% 1.25/1.67 X, 'c_List_Olist_ONil' ) ] )
% 1.25/1.67 , clause( 4349, [ =( 'c_List_Olist_ONil', 'c_List_Orev'(
% 1.25/1.67 'c_List_Olist_ONil', X ) ) ] )
% 1.25/1.67 , clause( 4350, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X,
% 1.25/1.67 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_List_Olex'( Z, Y ),
% 1.25/1.67 'tc_prod'( 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ) ] )
% 1.25/1.67 , clause( 4351, [ ~( =( 'c_append'( X, 'c_List_Olist_OCons'( Y,
% 1.25/1.67 'c_List_Olist_ONil', Z ), Z ), 'c_append'( T, 'c_List_Olist_OCons'( U,
% 1.25/1.67 'c_List_Olist_ONil', Z ), Z ) ) ), =( X, T ) ] )
% 1.25/1.67 , clause( 4352, [ ~( =( 'c_append'( X, 'c_List_Olist_OCons'( Y,
% 1.25/1.67 'c_List_Olist_ONil', Z ), Z ), 'c_append'( T, 'c_List_Olist_OCons'( U,
% 1.25/1.67 'c_List_Olist_ONil', Z ), Z ) ) ), =( Y, U ) ] )
% 1.25/1.67 , clause( 4353, [ =( 'c_append'( 'c_append'( X, Y, Z ), T, Z ), 'c_append'(
% 1.25/1.67 X, 'c_append'( Y, T, Z ), Z ) ) ] )
% 1.25/1.67 , clause( 4354, [ =( X, 'c_List_Olist_ONil' ), =( 'c_append'(
% 1.25/1.67 'c_List_Obutlast'( X, Y ), 'c_List_Olist_OCons'( 'c_List_Olast'( X, Y ),
% 1.25/1.67 'c_List_Olist_ONil', Y ), Y ), X ) ] )
% 1.25/1.67 , clause( 4355, [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ),
% 1.25/1.67 'c_Nat_Osize'( Z, 'tc_List_Olist'( Y ) ) ) ), ~( =( 'c_append'( X, T, Y )
% 1.25/1.67 , 'c_append'( Z, U, Y ) ) ), =( X, Z ) ] )
% 1.25/1.67 , clause( 4356, [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ),
% 1.25/1.67 'c_Nat_Osize'( Z, 'tc_List_Olist'( Y ) ) ) ), ~( =( 'c_append'( X, T, Y )
% 1.25/1.67 , 'c_append'( Z, U, Y ) ) ), =( T, U ) ] )
% 1.25/1.67 , clause( 4357, [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ),
% 1.25/1.67 'c_Nat_Osize'( Z, 'tc_List_Olist'( Y ) ) ) ), ~( =( 'c_append'( T, X, Y )
% 1.25/1.67 , 'c_append'( U, Z, Y ) ) ), =( T, U ) ] )
% 1.25/1.67 , clause( 4358, [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ),
% 1.25/1.67 'c_Nat_Osize'( Z, 'tc_List_Olist'( Y ) ) ) ), ~( =( 'c_append'( T, X, Y )
% 1.25/1.67 , 'c_append'( U, Z, Y ) ) ), =( X, Z ) ] )
% 1.25/1.67 , clause( 4359, [ ~( 'c_in'( 'c_append'( X, Y, Z ), 'c_List_Olists'( T, Z )
% 1.25/1.67 , 'tc_List_Olist'( Z ) ) ), 'c_in'( X, 'c_List_Olists'( T, Z ),
% 1.25/1.67 'tc_List_Olist'( Z ) ) ] )
% 1.25/1.67 , clause( 4360, [ ~( 'c_in'( 'c_append'( X, Y, Z ), 'c_List_Olists'( T, Z )
% 1.25/1.67 , 'tc_List_Olist'( Z ) ) ), 'c_in'( Y, 'c_List_Olists'( T, Z ),
% 1.25/1.67 'tc_List_Olist'( Z ) ) ] )
% 1.25/1.67 , clause( 4361, [ ~( 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z
% 1.25/1.67 ) ) ), ~( 'c_in'( T, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ),
% 1.25/1.67 'c_in'( 'c_append'( T, X, Z ), 'c_List_Olists'( Y, Z ), 'tc_List_Olist'(
% 1.25/1.67 Z ) ) ] )
% 1.25/1.67 , clause( 4362, [ ~( =( 'c_append'( X, Y, Z ), 'c_List_Olist_ONil' ) ), =(
% 1.25/1.67 X, 'c_List_Olist_ONil' ) ] )
% 1.25/1.67 , clause( 4363, [ ~( =( 'c_append'( X, Y, Z ), 'c_List_Olist_ONil' ) ), =(
% 1.25/1.67 Y, 'c_List_Olist_ONil' ) ] )
% 1.25/1.67 , clause( 4364, [ =( 'c_append'( 'c_List_Olist_ONil', 'c_List_Olist_ONil',
% 1.25/1.67 X ), 'c_List_Olist_ONil' ) ] )
% 1.25/1.67 , clause( 4365, [ ~( =( 'c_append'( X, Y, Z ), 'c_append'( T, Y, Z ) ) ),
% 1.25/1.67 =( X, T ) ] )
% 1.25/1.67 , clause( 4366, [ ~( =( 'c_append'( X, Y, Z ), Y ) ), =( X,
% 1.25/1.67 'c_List_Olist_ONil' ) ] )
% 1.25/1.67 , clause( 4367, [ =( 'c_append'( 'c_List_Olist_ONil', X, Y ), X ) ] )
% 1.25/1.67 , clause( 4368, [ ~( =( 'c_append'( X, Y, Z ), X ) ), =( Y,
% 1.25/1.67 'c_List_Olist_ONil' ) ] )
% 1.25/1.67 , clause( 4369, [ =( 'c_append'( X, 'c_List_Olist_ONil', Y ), X ) ] )
% 1.25/1.67 , clause( 4370, [ =( 'c_append'( 'c_List_Otake'( X, Y, Z ), 'c_List_Odrop'(
% 1.25/1.67 X, Y, Z ), Z ), Y ) ] )
% 1.25/1.67 , clause( 4371, [ =( 'c_List_Obutlast'( 'c_List_Olist_ONil', X ),
% 1.25/1.67 'c_List_Olist_ONil' ) ] )
% 1.25/1.67 , clause( 4372, [ =( 'c_List_Obutlast'( 'c_List_Olist_OCons'( X,
% 1.25/1.67 'c_List_Olist_ONil', Y ), Y ), 'c_List_Olist_ONil' ) ] )
% 1.25/1.67 , clause( 4373, [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Obutlast'(
% 1.25/1.67 'c_List_Olist_OCons'( Y, X, Z ), Z ), 'c_List_Olist_OCons'( Y,
% 1.25/1.67 'c_List_Obutlast'( X, Z ), Z ) ) ] )
% 1.25/1.67 , clause( 4374, [ =( 'c_List_Obutlast'( 'c_append'( X, 'c_List_Olist_OCons'(
% 1.25/1.67 Y, 'c_List_Olist_ONil', Z ), Z ), Z ), X ) ] )
% 1.25/1.67 , clause( 4375, [ ~( =( 'c_List_Ochar_OChar'( X, Y ), 'c_List_Ochar_OChar'(
% 1.25/1.67 Z, T ) ) ), =( X, Z ) ] )
% 1.25/1.67 , clause( 4376, [ ~( =( 'c_List_Ochar_OChar'( X, Y ), 'c_List_Ochar_OChar'(
% 1.25/1.67 Z, T ) ) ), =( Y, T ) ] )
% 1.25/1.67 , clause( 4377, [ =( 'c_Nat_Osize'( 'c_List_Ochar_OChar'( X, Y ),
% 1.25/1.67 'tc_List_Ochar' ), 'c_0' ) ] )
% 1.25/1.67 , clause( 4378, [ =( 'c_List_Oconcat'( 'c_List_Olist_ONil', X ),
% 1.25/1.67 'c_List_Olist_ONil' ) ] )
% 1.25/1.67 , clause( 4379, [ =( 'c_List_Oconcat'( 'c_List_Olist_OCons'( X, Y,
% 1.25/1.67 'tc_List_Olist'( Z ) ), Z ), 'c_append'( X, 'c_List_Oconcat'( Y, Z ), Z )
% 1.25/1.67 ) ] )
% 1.25/1.67 , clause( 4380, [ =( 'c_List_Oconcat'( 'c_append'( X, Y, 'tc_List_Olist'( Z
% 1.25/1.67 ) ), Z ), 'c_append'( 'c_List_Oconcat'( X, Z ), 'c_List_Oconcat'( Y, Z )
% 1.25/1.67 , Z ) ) ] )
% 1.25/1.67 , clause( 4381, [ ~( 'c_in'( X, 'c_List_Oset'( Y, 'tc_List_Olist'( Z ) ),
% 1.25/1.67 'tc_List_Olist'( Z ) ) ), ~( =( 'c_List_Oconcat'( Y, Z ),
% 1.25/1.67 'c_List_Olist_ONil' ) ), =( X, 'c_List_Olist_ONil' ) ] )
% 1.25/1.67 , clause( 4382, [ 'c_in'( 'c_Main_Oconcat__eq__Nil__conv__1'( X, Y ),
% 1.25/1.67 'c_List_Oset'( X, 'tc_List_Olist'( Y ) ), 'tc_List_Olist'( Y ) ), =(
% 1.25/1.67 'c_List_Oconcat'( X, Y ), 'c_List_Olist_ONil' ) ] )
% 1.25/1.67 , clause( 4383, [ ~( =( 'c_Main_Oconcat__eq__Nil__conv__1'( X, Y ),
% 1.25/1.67 'c_List_Olist_ONil' ) ), =( 'c_List_Oconcat'( X, Y ), 'c_List_Olist_ONil'
% 1.25/1.67 ) ] )
% 1.25/1.67 , clause( 4384, [ ~( 'c_List_Odistinct'( 'c_List_Orotate1'( X, Y ), Y ) ),
% 1.25/1.67 'c_List_Odistinct'( X, Y ) ] )
% 1.25/1.67 , clause( 4385, [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'(
% 1.25/1.67 'c_List_Orotate1'( X, Y ), Y ) ] )
% 1.25/1.67 , clause( 4386, [ 'c_List_Odistinct'( 'c_List_Olist_ONil', X ) ] )
% 1.25/1.67 , clause( 4387, [ ~( 'c_List_Odistinct'( 'c_List_Olist_OCons'( X, Y, Z ), Z
% 1.25/1.67 ) ), ~( 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ) ) ] )
% 1.25/1.67 , clause( 4388, [ ~( 'c_List_Odistinct'( 'c_List_Olist_OCons'( X, Y, Z ), Z
% 1.25/1.67 ) ), 'c_List_Odistinct'( Y, Z ) ] )
% 1.25/1.67 , clause( 4389, [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'(
% 1.25/1.67 'c_List_Olist_OCons'( Z, X, Y ), Y ), 'c_in'( Z, 'c_List_Oset'( X, Y ), Y
% 1.25/1.67 ) ] )
% 1.25/1.67 , clause( 4390, [ ~( 'c_List_Odistinct'( 'c_append'( X, Y, Z ), Z ) ),
% 1.25/1.67 'c_List_Odistinct'( X, Z ) ] )
% 1.25/1.67 , clause( 4391, [ ~( 'c_List_Odistinct'( 'c_append'( X, Y, Z ), Z ) ),
% 1.25/1.67 'c_List_Odistinct'( Y, Z ) ] )
% 1.25/1.67 , clause( 4392, [ ~( 'c_List_Odistinct'( 'c_append'( X, Y, Z ), Z ) ), =(
% 1.25/1.67 'c_inter'( 'c_List_Oset'( X, Z ), 'c_List_Oset'( Y, Z ), Z ),
% 1.25/1.67 'c_emptyset' ) ] )
% 1.25/1.67 , clause( 4393, [ ~( 'c_List_Odistinct'( X, Y ) ), ~( 'c_List_Odistinct'( Z
% 1.25/1.67 , Y ) ), ~( =( 'c_inter'( 'c_List_Oset'( Z, Y ), 'c_List_Oset'( X, Y ), Y
% 1.25/1.67 ), 'c_emptyset' ) ), 'c_List_Odistinct'( 'c_append'( Z, X, Y ), Y ) ] )
% 1.25/1.67 , clause( 4394, [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'(
% 1.25/1.67 'c_List_Odrop'( Z, X, Y ), Y ) ] )
% 1.25/1.67 , clause( 4395, [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'(
% 1.25/1.67 'c_List_Oremove1'( Z, X, Y ), Y ) ] )
% 1.25/1.67 , clause( 4396, [ ~( 'c_List_Odistinct'( 'c_List_Orev'( X, Y ), Y ) ),
% 1.25/1.67 'c_List_Odistinct'( X, Y ) ] )
% 1.25/1.67 , clause( 4397, [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'(
% 1.25/1.67 'c_List_Orev'( X, Y ), Y ) ] )
% 1.25/1.67 , clause( 4398, [ ~( 'c_List_Odistinct'( 'c_List_Orotate'( X, Y, Z ), Z ) )
% 1.25/1.67 , 'c_List_Odistinct'( Y, Z ) ] )
% 1.25/1.67 , clause( 4399, [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'(
% 1.25/1.67 'c_List_Orotate'( Z, X, Y ), Y ) ] )
% 1.25/1.67 , clause( 4400, [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'(
% 1.25/1.67 'c_List_Osublist'( X, Z, Y ), Y ) ] )
% 1.25/1.67 , clause( 4401, [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'(
% 1.25/1.67 'c_List_Otake'( Z, X, Y ), Y ) ] )
% 1.25/1.67 , clause( 4402, [ 'c_List_Odistinct'( 'c_List_Oupt'( X, Y ), 'tc_nat' ) ]
% 1.25/1.67 )
% 1.25/1.67 , clause( 4403, [ =( 'c_List_Odrop'( X, 'c_List_Olist_ONil', Y ),
% 1.25/1.67 'c_List_Olist_ONil' ) ] )
% 1.25/1.67 , clause( 4404, [ =( 'c_List_Odrop'( 'c_0', X, Y ), X ) ] )
% 1.25/1.67 , clause( 4405, [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ),
% 1.25/1.67 =( 'c_List_Odrop'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.25/1.67 'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_List_Olist_OCons'( Y, Z, T ) ) ]
% 1.25/1.67 )
% 1.25/1.67 , clause( 4406, [ =( 'c_List_Odrop'( 'c_Numeral_Onumber__of'( X, 'tc_nat' )
% 1.25/1.67 , 'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_List_Odrop'( 'c_minus'(
% 1.25/1.67 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_1', 'tc_nat' ), Z, T ) ), =(
% 1.25/1.67 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ] )
% 1.25/1.67 , clause( 4407, [ =( 'c_List_Odrop'( 'c_Suc'( X ), 'c_List_Olist_OCons'( Y
% 1.25/1.67 , Z, T ), T ), 'c_List_Odrop'( X, Z, T ) ) ] )
% 1.25/1.67 , clause( 4408, [ =( 'c_List_Odrop'( X, 'c_append'( Y, Z, T ), T ),
% 1.25/1.67 'c_append'( 'c_List_Odrop'( X, Y, T ), 'c_List_Odrop'( 'c_minus'( X,
% 1.25/1.67 'c_Nat_Osize'( Y, 'tc_List_Olist'( T ) ), 'tc_nat' ), Z, T ), T ) ) ] )
% 1.25/1.67 , clause( 4409, [ =( 'c_List_Odrop'( X, 'c_List_Odrop'( Y, Z, T ), T ),
% 1.25/1.67 'c_List_Odrop'( 'c_plus'( X, Y, 'tc_nat' ), Z, T ) ) ] )
% 1.25/1.67 , clause( 4410, [ ~( =( 'c_List_Odrop'( X, Y, Z ), 'c_List_Olist_ONil' ) )
% 1.25/1.67 , 'c_lessequals'( 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), X, 'tc_nat' )
% 1.25/1.67 ] )
% 1.25/1.67 , clause( 4411, [ ~( 'c_lessequals'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y )
% 1.25/1.67 ), Z, 'tc_nat' ) ), =( 'c_List_Odrop'( Z, X, Y ), 'c_List_Olist_ONil' )
% 1.25/1.67 ] )
% 1.25/1.67 , clause( 4412, [ =( 'c_List_Odrop'( X, 'c_List_Oreplicate'( Y, Z, T ), T )
% 1.25/1.67 , 'c_List_Oreplicate'( 'c_minus'( Y, X, 'tc_nat' ), Z, T ) ) ] )
% 1.25/1.67 , clause( 4413, [ =( 'c_List_Odrop'( X, 'c_List_Oupt'( Y, Z ), 'tc_nat' ),
% 1.25/1.67 'c_List_Oupt'( 'c_plus'( Y, X, 'tc_nat' ), Z ) ) ] )
% 1.25/1.67 , clause( 4414, [ =( 'c_List_Ohd'( 'c_List_Olist_OCons'( X, Y, Z ), Z ), X
% 1.25/1.67 ) ] )
% 1.25/1.67 , clause( 4415, [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Olist_OCons'(
% 1.25/1.67 'c_List_Ohd'( X, Y ), 'c_List_Otl'( X, Y ), Y ), X ) ] )
% 1.25/1.67 , clause( 4416, [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Ohd'( 'c_append'(
% 1.25/1.67 X, Y, Z ), Z ), 'c_List_Ohd'( X, Z ) ) ] )
% 1.25/1.67 , clause( 4417, [ 'c_in'( 'c_List_Ohd'( X, Y ), 'c_List_Oset'( X, Y ), Y )
% 1.25/1.67 , =( X, 'c_List_Olist_ONil' ) ] )
% 1.25/1.67 , clause( 4418, [ =( X, 'c_0' ), =( 'c_List_Ohd'( 'c_List_Oreplicate'( X, Y
% 1.25/1.67 , Z ), Z ), Y ) ] )
% 1.25/1.67 , clause( 4419, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_List_Ohd'(
% 1.25/1.67 'c_List_Oupt'( X, Y ), 'tc_nat' ), X ) ] )
% 1.25/1.67 , clause( 4420, [ =( 'c_List_Oitrev'( X, Y, Z ), 'c_append'( 'c_List_Orev'(
% 1.25/1.67 X, Z ), Y, Z ) ) ] )
% 1.25/1.67 , clause( 4421, [ =( 'c_List_Oitrev'( 'c_List_Olist_ONil', X, Y ), X ) ] )
% 1.25/1.67 , clause( 4422, [ =( 'c_List_Oitrev'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z
% 1.25/1.67 ), 'c_List_Oitrev'( Y, 'c_List_Olist_OCons'( X, T, Z ), Z ) ) ] )
% 1.25/1.67 , clause( 4423, [ =( 'c_List_Olast'( 'c_List_Olist_OCons'( X,
% 1.25/1.67 'c_List_Olist_ONil', Y ), Y ), X ) ] )
% 1.25/1.67 , clause( 4424, [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Olast'(
% 1.25/1.67 'c_List_Olist_OCons'( Y, X, Z ), Z ), 'c_List_Olast'( X, Z ) ) ] )
% 1.25/1.67 , clause( 4425, [ =( 'c_List_Olast'( 'c_append'( X, 'c_List_Olist_ONil', Y
% 1.25/1.67 ), Y ), 'c_List_Olast'( X, Y ) ) ] )
% 1.25/1.67 , clause( 4426, [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Olast'(
% 1.25/1.67 'c_append'( Y, X, Z ), Z ), 'c_List_Olast'( X, Z ) ) ] )
% 1.25/1.67 , clause( 4427, [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) )
% 1.25/1.67 , 'tc_nat' ) ), =( 'c_List_Olast'( 'c_List_Odrop'( X, Y, Z ), Z ),
% 1.25/1.67 'c_List_Olast'( Y, Z ) ) ] )
% 1.25/1.67 , clause( 4428, [ 'c_in'( 'c_List_Olast'( X, Y ), 'c_List_Oset'( X, Y ), Y
% 1.25/1.67 ), =( X, 'c_List_Olist_ONil' ) ] )
% 1.25/1.67 , clause( 4429, [ =( X, 'c_0' ), =( 'c_List_Olast'( 'c_List_Oreplicate'( X
% 1.25/1.67 , Y, Z ), Z ), Y ) ] )
% 1.25/1.67 , clause( 4430, [ =( 'c_List_Olast'( 'c_append'( X, 'c_List_Olist_OCons'( Y
% 1.25/1.67 , 'c_List_Olist_ONil', Z ), Z ), Z ), Y ) ] )
% 1.25/1.67 , clause( 4431, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_List_Olast'(
% 1.25/1.67 'c_List_Oupt'( X, Y ), 'tc_nat' ), 'c_minus'( Y, 'c_1', 'tc_nat' ) ) ] )
% 1.25/1.67 , clause( 4432, [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_0' ) )
% 1.25/1.67 , =( X, 'c_List_Olist_ONil' ) ] )
% 1.25/1.67 , clause( 4433, [ =( 'c_Nat_Osize'( 'c_List_Olist_ONil', 'tc_List_Olist'( X
% 1.25/1.67 ) ), 'c_0' ) ] )
% 1.25/1.67 , clause( 4434, [ =( 'c_Nat_Osize'( 'c_append'( X, Y, Z ), 'tc_List_Olist'(
% 1.25/1.67 Z ) ), 'c_plus'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Z ) ), 'c_Nat_Osize'(
% 1.25/1.67 Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ] )
% 1.25/1.67 , clause( 4435, [ =( 'c_Nat_Osize'( 'c_List_Obutlast'( X, Y ),
% 1.25/1.67 'tc_List_Olist'( Y ) ), 'c_minus'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y )
% 1.25/1.67 ), 'c_1', 'tc_nat' ) ) ] )
% 1.25/1.67 , clause( 4436, [ =( 'c_Nat_Osize'( 'c_List_Odrop'( X, Y, Z ),
% 1.25/1.67 'tc_List_Olist'( Z ) ), 'c_minus'( 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z )
% 1.25/1.67 ), X, 'tc_nat' ) ) ] )
% 1.25/1.67 , clause( 4437, [ ~( 'c_less'( 'c_0', 'c_Nat_Osize'( 'c_List_Olist_ONil',
% 1.25/1.67 'tc_List_Olist'( X ) ), 'tc_nat' ) ) ] )
% 1.25/1.67 , clause( 4438, [ 'c_less'( 'c_0', 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) )
% 1.25/1.67 , 'tc_nat' ), =( X, 'c_List_Olist_ONil' ) ] )
% 1.25/1.67 , clause( 4439, [ =( 'c_Nat_Osize'( 'c_List_Olist__update'( X, Y, Z, T ),
% 1.25/1.67 'tc_List_Olist'( T ) ), 'c_Nat_Osize'( X, 'tc_List_Olist'( T ) ) ) ] )
% 1.25/1.67 , clause( 4440, [ ~( =( 'c_Nat_Osize'( 'c_List_Oremdups'( X, Y ),
% 1.25/1.67 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ) ) ), =(
% 1.25/1.67 'c_List_Oremdups'( X, Y ), X ) ] )
% 1.25/1.67 , clause( 4441, [ ~( =( 'c_List_Oremdups'( X, Y ), X ) ), =( 'c_Nat_Osize'(
% 1.25/1.67 'c_List_Oremdups'( X, Y ), 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X,
% 1.25/1.67 'tc_List_Olist'( Y ) ) ) ] )
% 1.25/1.67 , clause( 4442, [ =( 'c_Nat_Osize'( 'c_List_Oreplicate'( X, Y, Z ),
% 1.25/1.67 'tc_List_Olist'( Z ) ), X ) ] )
% 1.25/1.67 , clause( 4443, [ =( 'c_Nat_Osize'( 'c_List_Orev'( X, Y ), 'tc_List_Olist'(
% 1.25/1.67 Y ) ), 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ) ) ] )
% 1.25/1.67 , clause( 4444, [ =( 'c_Nat_Osize'( 'c_List_Orotate1'( X, Y ),
% 1.25/1.67 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ) ) ] )
% 1.25/1.67 , clause( 4445, [ =( 'c_Nat_Osize'( 'c_List_Orotate'( X, Y, Z ),
% 1.25/1.67 'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ) ) ] )
% 1.25/1.67 , clause( 4446, [ =( 'c_Nat_Osize'( 'c_List_Otake'( X, Y, Z ),
% 1.25/1.67 'tc_List_Olist'( Z ) ), 'c_Orderings_Omin'( 'c_Nat_Osize'( Y,
% 1.25/1.67 'tc_List_Olist'( Z ) ), X, 'tc_nat' ) ) ] )
% 1.25/1.67 , clause( 4447, [ =( 'c_Nat_Osize'( 'c_List_Otl'( X, Y ), 'tc_List_Olist'(
% 1.25/1.67 Y ) ), 'c_minus'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_1',
% 1.25/1.67 'tc_nat' ) ) ] )
% 1.25/1.67 , clause( 4448, [ =( 'c_Nat_Osize'( 'c_List_Oupt'( X, Y ), 'tc_List_Olist'(
% 1.25/1.67 'tc_nat' ) ), 'c_minus'( Y, X, 'tc_nat' ) ) ] )
% 1.25/1.67 , clause( 4449, [ =( 'c_Nat_Osize'( 'c_List_Ozip'( X, Y, Z, T ),
% 1.25/1.67 'tc_List_Olist'( 'tc_prod'( Z, T ) ) ), 'c_Orderings_Omin'( 'c_Nat_Osize'(
% 1.25/1.67 X, 'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( Y, 'tc_List_Olist'( T ) ),
% 1.25/1.67 'tc_nat' ) ) ] )
% 1.25/1.67 , clause( 4450, [ =( 'c_List_Olexn'( X, 'c_0', Y ), 'c_emptyset' ) ] )
% 1.25/1.67 , clause( 4451, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X,
% 1.25/1.67 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_List_Olexord'( Z, Y ),
% 1.25/1.67 'tc_prod'( 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X,
% 1.25/1.67 'c_List_Olist_OCons'( 'c_Main_Olexord__Nil__left__1'( X, Y ),
% 1.25/1.67 'c_Main_Olexord__Nil__left__2'( X, Y ), Y ) ) ] )
% 1.25/1.67 , clause( 4452, [ 'c_in'( 'c_Pair'( 'c_List_Olist_ONil',
% 1.25/1.67 'c_List_Olist_OCons'( X, Y, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.25/1.67 ) ), 'c_List_Olexord'( T, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.25/1.67 'tc_List_Olist'( Z ) ) ) ] )
% 1.25/1.67 , clause( 4453, [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil',
% 1.25/1.67 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_List_Olexord'( Z, Y ),
% 1.25/1.67 'tc_prod'( 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ) ] )
% 1.25/1.67 , clause( 4454, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.25/1.67 'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.25/1.67 ) ), 'c_List_Olexord'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.25/1.67 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( X, T, Z, Z ), W, 'tc_prod'(
% 1.25/1.67 Z, Z ) ), =( X, T ) ] )
% 1.25/1.67 , clause( 4455, [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.25/1.67 'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.25/1.67 ) ), 'c_List_Olexord'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.25/1.67 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( X, T, Z, Z ), W, 'tc_prod'(
% 1.25/1.67 Z, Z ) ), 'c_in'( 'c_Pair'( Y, U, 'tc_List_Olist'( Z ), 'tc_List_Olist'(
% 1.25/1.67 Z ) ), 'c_List_Olexord'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.25/1.67 'tc_List_Olist'( Z ) ) ) ] )
% 1.25/1.67 , clause( 4456, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) )
% 1.25/1.67 ), 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, U, Z ),
% 1.25/1.67 'c_List_Olist_OCons'( Y, W, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.25/1.67 ) ), 'c_List_Olexord'( T, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.25/1.67 'tc_List_Olist'( Z ) ) ) ] )
% 1.25/1.67 , clause( 4457, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_List_Olist'( Z ),
% 1.25/1.67 'tc_List_Olist'( Z ) ), 'c_List_Olexord'( T, Z ), 'tc_prod'(
% 1.25/1.67 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'(
% 1.25/1.67 'c_List_Olist_OCons'( U, X, Z ), 'c_List_Olist_OCons'( U, Y, Z ),
% 1.25/1.67 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olexord'( T, Z ),
% 1.25/1.67 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ] )
% 1.25/1.67 , clause( 4458, [ ~( =( 'c_List_Olist_ONil', 'c_List_Olist_OCons'( X, Y, Z
% 1.25/1.67 ) ) ) ] )
% 1.25/1.67 , clause( 4459, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.25/1.67 'c_List_Olist_ONil' ) ) ] )
% 1.25/1.67 , clause( 4460, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.25/1.67 'c_List_Olist_OCons'( T, U, Z ) ) ), =( X, T ) ] )
% 1.25/1.67 , clause( 4461, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.25/1.67 'c_List_Olist_OCons'( T, U, Z ) ) ), =( Y, U ) ] )
% 1.25/1.67 , clause( 4462, [ =( 'c_Nat_Osize'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.25/1.67 'tc_List_Olist'( Z ) ), 'c_plus'( 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z )
% 1.25/1.67 ), 'c_Suc'( 'c_0' ), 'tc_nat' ) ) ] )
% 1.25/1.67 , clause( 4463, [ =( 'c_List_Olist__inter'( 'c_List_Olist_ONil', X, Y ),
% 1.25/1.67 'c_List_Olist_ONil' ) ] )
% 1.25/1.67 , clause( 4464, [ ~( 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ) ), =(
% 1.25/1.67 'c_List_Olist__inter'( 'c_List_Olist_OCons'( X, T, Z ), Y, Z ),
% 1.25/1.67 'c_List_Olist_OCons'( X, 'c_List_Olist__inter'( T, Y, Z ), Z ) ) ] )
% 1.25/1.67 , clause( 4465, [ 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ), =(
% 1.25/1.67 'c_List_Olist__inter'( 'c_List_Olist_OCons'( X, T, Z ), Y, Z ),
% 1.25/1.67 'c_List_Olist__inter'( T, Y, Z ) ) ] )
% 1.25/1.67 , clause( 4466, [ =( 'c_List_Olist__update'( 'c_List_Olist_ONil', X, Y, Z )
% 1.25/1.67 , 'c_List_Olist_ONil' ) ] )
% 1.25/1.67 , clause( 4467, [ ~( 'c_lessequals'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y )
% 1.25/1.67 ), Z, 'tc_nat' ) ), =( 'c_List_Olist__update'( X, Z, T, Y ), X ) ] )
% 1.25/1.67 , clause( 4468, [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) )
% 1.25/1.67 , 'tc_nat' ) ), =( 'c_List_Olist__update'( Y, X, 'c_List_Onth'( Y, X, Z )
% 1.25/1.67 , Z ), Y ) ] )
% 1.25/1.67 , clause( 4469, [ =( 'c_List_Olist__update'( 'c_append'( X,
% 1.25/1.67 'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_Nat_Osize'( X, 'tc_List_Olist'(
% 1.25/1.67 T ) ), U, T ), 'c_append'( X, 'c_List_Olist_OCons'( U, Z, T ), T ) ) ] )
% 1.25/1.67 , clause( 4470, [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) )
% 1.25/1.67 , 'tc_nat' ) ), =( 'c_List_Olist__update'( 'c_List_Olist__update'( Y, X,
% 1.25/1.67 T, Z ), X, U, Z ), 'c_List_Olist__update'( Y, X, U, Z ) ) ] )
% 1.25/1.67 , clause( 4471, [ =( 'c_Relation_OImage'( 'c_List_Olistrel'( X, Y ),
% 1.25/1.67 'c_insert'( 'c_List_Olist_ONil', 'c_emptyset', 'tc_List_Olist'( Y ) ),
% 1.25/1.67 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_insert'(
% 1.25/1.67 'c_List_Olist_ONil', 'c_emptyset', 'tc_List_Olist'( Y ) ) ) ] )
% 1.25/1.67 , clause( 4472, [ =( 'c_List_Olists'( 'c_inter'( X, Y, Z ), Z ), 'c_inter'(
% 1.25/1.67 'c_List_Olists'( X, Z ), 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) )
% 1.25/1.67 ) ] )
% 1.25/1.67 , clause( 4473, [ =( 'c_List_Olists'( 'c_UNIV', X ), 'c_UNIV' ) ] )
% 1.25/1.67 , clause( 4474, [ =( 'c_List_Olistset'( 'c_List_Olist_ONil', X ),
% 1.25/1.67 'c_insert'( 'c_List_Olist_ONil', 'c_emptyset', 'tc_List_Olist'( X ) ) ) ]
% 1.25/1.67 )
% 1.25/1.67 , clause( 4475, [ =( 'c_List_Olistset'( 'c_List_Olist_OCons'( X, Y,
% 1.25/1.67 'tc_set'( Z ) ), Z ), 'c_List_Oset__Cons'( X, 'c_List_Olistset'( Y, Z ),
% 1.25/1.67 Z ) ) ] )
% 1.25/1.67 , clause( 4476, [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0,
% 1.25/1.67 V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble9', V10 ), V3
% 1.25/1.67 ) ] )
% 1.25/1.67 , clause( 4477, [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0,
% 1.25/1.67 V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleA', V10 ), V4
% 1.25/1.67 ) ] )
% 1.25/1.67 , clause( 4478, [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0,
% 1.25/1.67 V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleB', V10 ), V5
% 1.25/1.67 ) ] )
% 1.25/1.67 , clause( 4479, [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0,
% 1.25/1.67 V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleC', V10 ), V6
% 1.25/1.67 ) ] )
% 1.25/1.67 , clause( 4480, [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0,
% 1.25/1.67 V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleD', V10 ), V7
% 1.25/1.67 ) ] )
% 1.25/1.67 , clause( 4481, [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0,
% 1.25/1.67 V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleE', V10 ), V8
% 1.25/1.67 ) ] )
% 1.25/1.67 , clause( 4482, [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0,
% 1.25/1.67 V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleF', V10 ), V9
% 1.25/1.67 ) ] )
% 1.25/1.67 , clause( 4483, [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0,
% 1.25/1.67 V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble0', V10 ), X )
% 1.25/1.67 ] )
% 1.25/1.67 , clause( 4484, [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0,
% 1.25/1.67 V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble1', V10 ), Y )
% 1.25/1.67 ] )
% 1.25/1.67 , clause( 4485, [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0,
% 1.25/1.67 V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble2', V10 ), Z )
% 1.25/1.67 ] )
% 1.25/1.67 , clause( 4486, [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0,
% 1.25/1.67 V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble3', V10 ), T )
% 1.25/1.67 ] )
% 1.25/1.67 , clause( 4487, [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0,
% 1.25/1.67 V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble4', V10 ), U )
% 1.25/1.67 ] )
% 1.25/1.67 , clause( 4488, [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0,
% 1.25/1.67 V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble5', V10 ), W )
% 1.25/1.67 ] )
% 1.25/1.67 , clause( 4489, [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0,
% 1.25/1.67 V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble6', V10 ), V0
% 1.25/1.67 ) ] )
% 1.25/1.67 , clause( 4490, [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0,
% 1.25/1.67 V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble7', V10 ), V1
% 1.25/1.67 ) ] )
% 1.25/1.67 , clause( 4491, [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0,
% 1.25/1.67 V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble8', V10 ), V2
% 1.25/1.67 ) ] )
% 1.25/1.67 , clause( 4492, [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0,
% 1.25/1.67 V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble9', V10 ), V3
% 1.25/1.67 ) ] )
% 1.25/1.67 , clause( 4493, [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0,
% 1.25/1.67 V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleA', V10 ), V4
% 1.25/1.67 ) ] )
% 1.25/1.67 , clause( 4494, [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0,
% 1.25/1.67 V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleB', V10 ), V5
% 1.25/1.67 ) ] )
% 1.25/1.67 , clause( 4495, [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0,
% 1.25/1.67 V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleC', V10 ), V6
% 1.25/1.67 ) ] )
% 1.25/1.67 , clause( 4496, [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0,
% 1.25/1.67 V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleD', V10 ), V7
% 1.25/1.67 ) ] )
% 1.25/1.67 , clause( 4497, [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0,
% 1.25/1.67 V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleE', V10 ), V8
% 1.25/1.67 ) ] )
% 1.25/1.67 , clause( 4498, [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0,
% 1.25/1.67 V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleF', V10 ), V9
% 1.25/1.67 ) ] )
% 1.25/1.67 , clause( 4499, [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0,
% 1.25/1.67 V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble0', V10 ), X )
% 1.25/1.67 ] )
% 1.25/1.67 , clause( 4500, [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0,
% 1.25/1.67 V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble1', V10 ), Y )
% 1.25/1.67 ] )
% 1.25/1.67 , clause( 4501, [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0,
% 1.25/1.67 V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble2', V10 ), Z )
% 1.25/1.67 ] )
% 1.25/1.67 , clause( 4502, [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0,
% 1.25/1.67 V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble3', V10 ), T )
% 1.25/1.67 ] )
% 1.25/1.67 , clause( 4503, [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0,
% 1.25/1.67 V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble4', V10 ), U )
% 1.25/1.67 ] )
% 1.25/1.67 , clause( 4504, [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0,
% 1.25/1.67 V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble5', V10 ), W )
% 1.25/1.67 ] )
% 1.25/1.67 , clause( 4505, [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0,
% 1.25/1.67 V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble6', V10 ), V0
% 1.25/1.67 ) ] )
% 1.25/1.67 , clause( 4506, [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0,
% 1.25/1.67 V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble7', V10 ), V1
% 1.25/1.67 ) ] )
% 1.25/1.67 , clause( 4507, [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0,
% 1.25/1.67 V1, V2, V3, V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble8', V10 ), V2
% 1.25/1.67 ) ] )
% 1.25/1.67 , clause( 4508, [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble9',
% 1.25/1.67 'tc_List_Onibble' ), 'c_0' ) ] )
% 1.25/1.67 , clause( 4509, [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleA',
% 1.25/1.67 'tc_List_Onibble' ), 'c_0' ) ] )
% 1.25/1.67 , clause( 4510, [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleB',
% 1.25/1.67 'tc_List_Onibble' ), 'c_0' ) ] )
% 1.25/1.67 , clause( 4511, [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleC',
% 1.25/1.67 'tc_List_Onibble' ), 'c_0' ) ] )
% 1.25/1.67 , clause( 4512, [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleD',
% 1.25/1.67 'tc_List_Onibble' ), 'c_0' ) ] )
% 1.25/1.67 , clause( 4513, [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleE',
% 1.25/1.67 'tc_List_Onibble' ), 'c_0' ) ] )
% 1.25/1.67 , clause( 4514, [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleF',
% 1.25/1.67 'tc_List_Onibble' ), 'c_0' ) ] )
% 1.25/1.67 , clause( 4515, [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble0',
% 1.25/1.67 'tc_List_Onibble' ), 'c_0' ) ] )
% 1.25/1.67 , clause( 4516, [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble1',
% 1.25/1.67 'tc_List_Onibble' ), 'c_0' ) ] )
% 1.25/1.67 , clause( 4517, [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble2',
% 1.25/1.67 'tc_List_Onibble' ), 'c_0' ) ] )
% 1.25/1.67 , clause( 4518, [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble3',
% 1.25/1.67 'tc_List_Onibble' ), 'c_0' ) ] )
% 1.25/1.67 , clause( 4519, [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble4',
% 1.25/1.67 'tc_List_Onibble' ), 'c_0' ) ] )
% 1.25/1.67 , clause( 4520, [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble5',
% 1.25/1.67 'tc_List_Onibble' ), 'c_0' ) ] )
% 1.25/1.67 , clause( 4521, [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble6',
% 1.25/1.67 'tc_List_Onibble' ), 'c_0' ) ] )
% 1.25/1.67 , clause( 4522, [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble7',
% 1.25/1.67 'tc_List_Onibble' ), 'c_0' ) ] )
% 1.25/1.67 , clause( 4523, [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble8',
% 1.25/1.67 'tc_List_Onibble' ), 'c_0' ) ] )
% 1.25/1.67 , clause( 4524, [ ~( =( X, 'c_List_Olist_OCons'( Y, X, Z ) ) ) ] )
% 1.25/1.67 , clause( 4525, [ ~( 'c_in'( X, 'c_List_Oset'( 'c_List_Oremove1'( Y, Z, T )
% 1.25/1.67 , T ), T ) ), 'c_in'( X, 'c_List_Oset'( Z, T ), T ) ] )
% 1.25/1.67 , clause( 4526, [ ~( 'c_in'( X, 'c_List_Oset'( 'c_List_Osublist'( Y, Z, T )
% 1.25/1.67 , T ), T ) ), 'c_in'( X, 'c_List_Oset'( Y, T ), T ) ] )
% 1.25/1.67 , clause( 4527, [ =( 'c_List_Onth'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_0'
% 1.25/1.67 , Z ), X ) ] )
% 1.25/1.67 , clause( 4528, [ =( 'c_List_Onth'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.25/1.67 'c_Suc'( T ), Z ), 'c_List_Onth'( Y, T, Z ) ) ] )
% 1.25/1.67 , clause( 4529, [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ),
% 1.25/1.67 =( 'c_List_Onth'( 'c_List_Olist_OCons'( Y, Z, T ),
% 1.25/1.67 'c_Numeral_Onumber__of'( X, 'tc_nat' ), T ), Y ) ] )
% 1.25/1.67 , clause( 4530, [ =( 'c_List_Onth'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.25/1.67 'c_Numeral_Onumber__of'( T, 'tc_nat' ), Z ), 'c_List_Onth'( Y, 'c_minus'(
% 1.25/1.67 'c_Numeral_Onumber__of'( T, 'tc_nat' ), 'c_1', 'tc_nat' ), Z ) ), =(
% 1.25/1.67 'c_Numeral_Onumber__of'( T, 'tc_nat' ), 'c_0' ) ] )
% 1.25/1.67 , clause( 4531, [ =( 'c_List_Onth'( 'c_append'( X, 'c_List_Olist_OCons'( Y
% 1.25/1.67 , Z, T ), T ), 'c_Nat_Osize'( X, 'tc_List_Olist'( T ) ), T ), Y ) ] )
% 1.25/1.67 , clause( 4532, [ =( 'c_List_Onth'( 'c_append'( X, Y, Z ), 'c_plus'(
% 1.25/1.67 'c_Nat_Osize'( X, 'tc_List_Olist'( Z ) ), T, 'tc_nat' ), Z ),
% 1.25/1.67 'c_List_Onth'( Y, T, Z ) ) ] )
% 1.25/1.67 , clause( 4533, [ ~( 'c_lessequals'( 'c_plus'( X, Y, 'tc_nat' ),
% 1.25/1.67 'c_Nat_Osize'( Z, 'tc_List_Olist'( T ) ), 'tc_nat' ) ), =( 'c_List_Onth'(
% 1.25/1.67 'c_List_Odrop'( X, Z, T ), Y, T ), 'c_List_Onth'( Z, 'c_plus'( X, Y,
% 1.25/1.67 'tc_nat' ), T ) ) ] )
% 1.25/1.67 , clause( 4534, [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) )
% 1.25/1.67 , 'tc_nat' ) ), =( 'c_List_Onth'( 'c_List_Olist__update'( Y, X, T, Z ), X
% 1.25/1.67 , Z ), T ) ] )
% 1.25/1.67 , clause( 4535, [ =( X, Y ), =( 'c_List_Onth'( 'c_List_Olist__update'( Z, X
% 1.25/1.67 , T, U ), Y, U ), 'c_List_Onth'( Z, Y, U ) ) ] )
% 1.25/1.67 , clause( 4536, [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) )
% 1.25/1.67 , 'tc_nat' ) ), 'c_in'( 'c_List_Onth'( Y, X, Z ), 'c_List_Oset'( Y, Z ),
% 1.25/1.67 Z ) ] )
% 1.25/1.67 , clause( 4537, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_List_Onth'(
% 1.25/1.67 'c_List_Oreplicate'( Y, Z, T ), X, T ), Z ) ] )
% 1.25/1.67 , clause( 4538, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_List_Onth'(
% 1.25/1.67 'c_List_Otake'( Y, Z, T ), X, T ), 'c_List_Onth'( Z, X, T ) ) ] )
% 1.25/1.67 , clause( 4539, [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ) )
% 1.25/1.67 , =( 'c_List_Onth'( 'c_List_Oupt'( X, Z ), Y, 'tc_nat' ), 'c_plus'( X, Y
% 1.25/1.67 , 'tc_nat' ) ) ] )
% 1.25/1.67 , clause( 4540, [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) )
% 1.25/1.67 , 'tc_nat' ) ), ~( 'c_less'( X, 'c_Nat_Osize'( T, 'tc_List_Olist'( U ) )
% 1.25/1.67 , 'tc_nat' ) ), =( 'c_List_Onth'( 'c_List_Ozip'( T, Y, U, Z ), X,
% 1.25/1.67 'tc_prod'( U, Z ) ), 'c_Pair'( 'c_List_Onth'( T, X, U ), 'c_List_Onth'( Y
% 1.25/1.67 , X, Z ), U, Z ) ) ] )
% 1.25/1.67 , clause( 4541, [ 'c_List_Onull'( 'c_List_Olist_ONil', X ) ] )
% 1.25/1.67 , clause( 4542, [ ~( 'c_List_Onull'( 'c_List_Olist_OCons'( X, Y, Z ), Z ) )
% 1.25/1.67 ] )
% 1.25/1.67 , clause( 4543, [ =( 'c_append'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ),
% 1.25/1.67 'c_List_Olist_OCons'( X, 'c_append'( Y, T, Z ), Z ) ) ] )
% 1.25/1.67 , clause( 4544, [ ~( 'c_List_Oop_Amem'( X, 'c_List_Olist_ONil', Y ) ) ] )
% 1.25/1.67 , clause( 4545, [ ~( 'c_List_Oop_Amem'( X, 'c_List_Olist_OCons'( Y, Z, T )
% 1.25/1.67 , T ) ), 'c_List_Oop_Amem'( X, Z, T ), =( Y, X ) ] )
% 1.25/1.67 , clause( 4546, [ 'c_List_Oop_Amem'( X, 'c_List_Olist_OCons'( X, Y, Z ), Z
% 1.25/1.67 ) ] )
% 1.25/1.67 , clause( 4547, [ ~( 'c_List_Oop_Amem'( X, Y, Z ) ), 'c_List_Oop_Amem'( X,
% 1.25/1.67 'c_List_Olist_OCons'( T, Y, Z ), Z ) ] )
% 1.25/1.67 , clause( 4548, [ ~( 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ) ), =(
% 1.25/1.67 'c_List_Oremdups'( 'c_List_Olist_OCons'( X, Y, Z ), Z ),
% 1.25/1.67 'c_List_Oremdups'( Y, Z ) ) ] )
% 1.25/1.67 , clause( 4549, [ 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ), =(
% 1.25/1.67 'c_List_Oremdups'( 'c_List_Olist_OCons'( X, Y, Z ), Z ),
% 1.25/1.67 'c_List_Olist_OCons'( X, 'c_List_Oremdups'( Y, Z ), Z ) ) ] )
% 1.25/1.67 , clause( 4550, [ ~( =( 'c_List_Oremdups'( X, Y ), 'c_List_Olist_ONil' ) )
% 1.25/1.67 , =( X, 'c_List_Olist_ONil' ) ] )
% 1.25/1.67 , clause( 4551, [ =( 'c_List_Oremdups'( 'c_List_Olist_ONil', X ),
% 1.25/1.67 'c_List_Olist_ONil' ) ] )
% 1.25/1.67 , clause( 4552, [ ~( =( 'c_List_Olist_ONil', 'c_List_Oremdups'( X, Y ) ) )
% 1.25/1.67 , =( X, 'c_List_Olist_ONil' ) ] )
% 1.25/1.67 , clause( 4553, [ =( 'c_List_Olist_ONil', 'c_List_Oremdups'(
% 1.25/1.67 'c_List_Olist_ONil', X ) ) ] )
% 1.25/1.67 , clause( 4554, [ =( 'c_List_Oremove1'( X, 'c_List_Olist_ONil', Y ),
% 1.25/1.67 'c_List_Olist_ONil' ) ] )
% 1.25/1.67 , clause( 4555, [ =( 'c_List_Oremove1'( X, 'c_List_Olist_OCons'( X, Y, Z )
% 1.25/1.67 , Z ), Y ) ] )
% 1.25/1.67 , clause( 4556, [ =( X, Y ), =( 'c_List_Oremove1'( X, 'c_List_Olist_OCons'(
% 1.25/1.67 Y, Z, T ), T ), 'c_List_Olist_OCons'( Y, 'c_List_Oremove1'( X, Z, T ), T
% 1.25/1.67 ) ) ] )
% 1.25/1.67 , clause( 4557, [ =( 'c_List_Oreplicate'( 'c_0', X, Y ),
% 1.25/1.67 'c_List_Olist_ONil' ) ] )
% 1.25/1.67 , clause( 4558, [ =( 'c_List_Oreplicate'( 'c_Suc'( X ), Y, Z ),
% 1.25/1.67 'c_List_Olist_OCons'( Y, 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ] )
% 1.25/1.67 , clause( 4559, [ =( 'c_List_Orev'( 'c_List_Olist_OCons'( X, Y, Z ), Z ),
% 1.25/1.67 'c_append'( 'c_List_Orev'( Y, Z ), 'c_List_Olist_OCons'( X,
% 1.25/1.67 'c_List_Olist_ONil', Z ), Z ) ) ] )
% 1.25/1.67 , clause( 4560, [ =( 'c_List_Orev'( 'c_append'( X, Y, Z ), Z ), 'c_append'(
% 1.25/1.67 'c_List_Orev'( Y, Z ), 'c_List_Orev'( X, Z ), Z ) ) ] )
% 1.25/1.67 , clause( 4561, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z, T,
% 1.25/1.67 Y ) ) ), =( X, 'c_append'( 'c_List_Orev'( T, Y ), 'c_List_Olist_OCons'( Z
% 1.25/1.67 , 'c_List_Olist_ONil', Y ), Y ) ) ] )
% 1.25/1.67 , clause( 4562, [ =( 'c_List_Orev'( 'c_append'( 'c_List_Orev'( X, Y ),
% 1.25/1.67 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil', Y ), Y ), Y ),
% 1.25/1.67 'c_List_Olist_OCons'( Z, X, Y ) ) ] )
% 1.25/1.67 , clause( 4563, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_ONil' ) ), =(
% 1.25/1.67 X, 'c_List_Olist_ONil' ) ] )
% 1.25/1.67 , clause( 4564, [ =( 'c_List_Orev'( 'c_List_Olist_ONil', X ),
% 1.25/1.67 'c_List_Olist_ONil' ) ] )
% 1.25/1.67 , clause( 4565, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Orev'( Z, Y ) ) ),
% 1.25/1.67 =( X, Z ) ] )
% 1.25/1.67 , clause( 4566, [ =( 'c_List_Orev'( 'c_List_Oreplicate'( X, Y, Z ), Z ),
% 1.25/1.67 'c_List_Oreplicate'( X, Y, Z ) ) ] )
% 1.25/1.67 , clause( 4567, [ =( 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ), X ) ] )
% 1.25/1.67 , clause( 4568, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z,
% 1.25/1.67 'c_List_Olist_ONil', Y ) ) ), =( X, 'c_List_Olist_OCons'( Z,
% 1.25/1.67 'c_List_Olist_ONil', Y ) ) ] )
% 1.25/1.67 , clause( 4569, [ =( 'c_List_Orev'( 'c_List_Olist_OCons'( X,
% 1.25/1.67 'c_List_Olist_ONil', Y ), Y ), 'c_List_Olist_OCons'( X,
% 1.25/1.67 'c_List_Olist_ONil', Y ) ) ] )
% 1.25/1.67 , clause( 4570, [ ~( =( 'c_List_Orotate1'( X, Y ), 'c_List_Olist_ONil' ) )
% 1.25/1.67 , =( X, 'c_List_Olist_ONil' ) ] )
% 1.25/1.67 , clause( 4571, [ =( 'c_List_Orotate1'( 'c_List_Olist_ONil', X ),
% 1.25/1.67 'c_List_Olist_ONil' ) ] )
% 1.25/1.67 , clause( 4572, [ ~( 'c_lessequals'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y )
% 1.25/1.67 ), 'c_1', 'tc_nat' ) ), =( 'c_List_Orotate1'( X, Y ), X ) ] )
% 1.25/1.67 , clause( 4573, [ =( 'c_List_Orotate'( 'c_Suc'( X ), Y, Z ),
% 1.25/1.67 'c_List_Orotate1'( 'c_List_Orotate'( X, Y, Z ), Z ) ) ] )
% 1.25/1.67 , clause( 4574, [ ~( =( 'c_Divides_Oop_Amod'( X, 'c_Nat_Osize'( Y,
% 1.25/1.67 'tc_List_Olist'( Z ) ), 'tc_nat' ), 'c_0' ) ), =( 'c_List_Orotate'( X, Y
% 1.25/1.67 , Z ), Y ) ] )
% 1.25/1.67 , clause( 4575, [ ~( =( 'c_List_Orotate'( X, Y, Z ), 'c_List_Olist_ONil' )
% 1.25/1.67 ), =( Y, 'c_List_Olist_ONil' ) ] )
% 1.25/1.67 , clause( 4576, [ =( 'c_List_Orotate'( X, 'c_List_Olist_ONil', Y ),
% 1.25/1.67 'c_List_Olist_ONil' ) ] )
% 1.25/1.67 , clause( 4577, [ ~( 'c_lessequals'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y )
% 1.25/1.67 ), 'c_1', 'tc_nat' ) ), =( 'c_List_Orotate'( Z, X, Y ), X ) ] )
% 1.25/1.67 , clause( 4578, [ ~( =( 'c_append'( X, Y, Z ), 'c_append'( X, T, Z ) ) ),
% 1.25/1.67 =( Y, T ) ] )
% 1.25/1.67 , clause( 4579, [ ~( =( X, 'c_append'( Y, X, Z ) ) ), =( Y,
% 1.25/1.67 'c_List_Olist_ONil' ) ] )
% 1.25/1.67 , clause( 4580, [ =( X, 'c_append'( 'c_List_Olist_ONil', X, Y ) ) ] )
% 1.25/1.67 , clause( 4581, [ ~( =( X, 'c_append'( X, Y, Z ) ) ), =( Y,
% 1.25/1.67 'c_List_Olist_ONil' ) ] )
% 1.25/1.67 , clause( 4582, [ =( X, 'c_append'( X, 'c_List_Olist_ONil', Y ) ) ] )
% 1.25/1.67 , clause( 4583, [ =( 'c_List_Oset'( 'c_List_Olist_OCons'( X, Y, Z ), Z ),
% 1.25/1.67 'c_insert'( X, 'c_List_Oset'( Y, Z ), Z ) ) ] )
% 1.25/1.67 , clause( 4584, [ =( 'c_List_Oset'( 'c_append'( X, Y, Z ), Z ), 'c_union'(
% 1.25/1.67 'c_List_Oset'( X, Z ), 'c_List_Oset'( Y, Z ), Z ) ) ] )
% 1.25/1.67 , clause( 4585, [ ~( =( 'c_emptyset', 'c_List_Oset'( X, Y ) ) ), =( X,
% 1.25/1.67 'c_List_Olist_ONil' ) ] )
% 1.25/1.67 , clause( 4586, [ =( 'c_emptyset', 'c_List_Oset'( 'c_List_Olist_ONil', X )
% 1.25/1.67 ) ] )
% 1.25/1.67 , clause( 4587, [ ~( =( 'c_List_Oset'( X, Y ), 'c_emptyset' ) ), =( X,
% 1.25/1.67 'c_List_Olist_ONil' ) ] )
% 1.25/1.67 , clause( 4588, [ =( 'c_List_Oset'( 'c_List_Olist_ONil', X ), 'c_emptyset'
% 1.25/1.67 ) ] )
% 1.25/1.67 , clause( 4589, [ =( 'c_List_Oset'( 'c_List_Oremdups'( X, Y ), Y ),
% 1.25/1.67 'c_List_Oset'( X, Y ) ) ] )
% 1.25/1.67 , clause( 4590, [ ~( 'c_List_Odistinct'( X, Y ) ), =( 'c_List_Oset'(
% 1.25/1.67 'c_List_Oremove1'( Z, X, Y ), Y ), 'c_minus'( 'c_List_Oset'( X, Y ),
% 1.25/1.67 'c_insert'( Z, 'c_emptyset', Y ), 'tc_set'( Y ) ) ) ] )
% 1.25/1.67 , clause( 4591, [ =( X, 'c_0' ), =( 'c_List_Oset'( 'c_List_Oreplicate'( X,
% 1.25/1.67 Y, Z ), Z ), 'c_insert'( Y, 'c_emptyset', Z ) ) ] )
% 1.25/1.67 , clause( 4592, [ =( 'c_List_Oset'( 'c_List_Orev'( X, Y ), Y ),
% 1.25/1.67 'c_List_Oset'( X, Y ) ) ] )
% 1.25/1.67 , clause( 4593, [ =( 'c_List_Oset'( 'c_List_Orotate1'( X, Y ), Y ),
% 1.25/1.67 'c_List_Oset'( X, Y ) ) ] )
% 1.25/1.67 , clause( 4594, [ =( 'c_List_Oset'( 'c_List_Orotate'( X, Y, Z ), Z ),
% 1.25/1.67 'c_List_Oset'( Y, Z ) ) ] )
% 1.25/1.67 , clause( 4595, [ ~( =( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ),
% 1.25/1.67 'c_List_Orev'( Z, Y ) ) ), =( Z, 'c_List_Olist_OCons'( X,
% 1.25/1.67 'c_List_Olist_ONil', Y ) ) ] )
% 1.25/1.67 , clause( 4596, [ =( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ),
% 1.25/1.67 'c_List_Orev'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ), Y ) ) ]
% 1.25/1.67 )
% 1.25/1.67 , clause( 4597, [ =( 'c_List_Osublist'( X, 'c_emptyset', Y ),
% 1.25/1.67 'c_List_Olist_ONil' ) ] )
% 1.25/1.67 , clause( 4598, [ =( 'c_List_Osublist'( 'c_List_Olist_ONil', X, Y ),
% 1.25/1.67 'c_List_Olist_ONil' ) ] )
% 1.25/1.67 , clause( 4599, [ ~( 'c_in'( 'c_0', X, 'tc_nat' ) ), =( 'c_List_Osublist'(
% 1.25/1.67 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z ), X, Z ),
% 1.25/1.67 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z ) ) ] )
% 1.25/1.67 , clause( 4600, [ 'c_in'( 'c_0', X, 'tc_nat' ), =( 'c_List_Osublist'(
% 1.25/1.67 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z ), X, Z ),
% 1.25/1.67 'c_List_Olist_ONil' ) ] )
% 1.25/1.67 , clause( 4601, [ =( 'c_List_Osublist'( X, 'c_SetInterval_OlessThan'( Y,
% 1.25/1.67 'tc_nat' ), Z ), 'c_List_Otake'( Y, X, Z ) ) ] )
% 1.25/1.67 , clause( 4602, [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ),
% 1.25/1.67 =( 'c_List_Otake'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.25/1.67 'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_List_Olist_ONil' ) ] )
% 1.25/1.67 , clause( 4603, [ =( 'c_List_Otake'( 'c_Numeral_Onumber__of'( X, 'tc_nat' )
% 1.25/1.67 , 'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_List_Olist_OCons'( Y,
% 1.25/1.67 'c_List_Otake'( 'c_minus'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_1'
% 1.25/1.67 , 'tc_nat' ), Z, T ), T ) ), =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.25/1.67 'c_0' ) ] )
% 1.25/1.67 , clause( 4604, [ =( 'c_List_Otake'( 'c_Suc'( X ), 'c_List_Olist_OCons'( Y
% 1.25/1.67 , Z, T ), T ), 'c_List_Olist_OCons'( Y, 'c_List_Otake'( X, Z, T ), T ) )
% 1.25/1.67 ] )
% 1.25/1.67 , clause( 4605, [ ~( 'c_lessequals'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y )
% 1.25/1.67 ), Z, 'tc_nat' ) ), =( 'c_List_Otake'( Z, X, Y ), X ) ] )
% 1.25/1.67 , clause( 4606, [ =( 'c_List_Otake'( X, 'c_append'( Y, Z, T ), T ),
% 1.25/1.67 'c_append'( 'c_List_Otake'( X, Y, T ), 'c_List_Otake'( 'c_minus'( X,
% 1.25/1.67 'c_Nat_Osize'( Y, 'tc_List_Olist'( T ) ), 'tc_nat' ), Z, T ), T ) ) ] )
% 1.25/1.67 , clause( 4607, [ ~( =( 'c_List_Otake'( X, Y, Z ), 'c_List_Olist_ONil' ) )
% 1.25/1.67 , =( X, 'c_0' ), =( Y, 'c_List_Olist_ONil' ) ] )
% 1.25/1.67 , clause( 4608, [ =( 'c_List_Otake'( 'c_0', X, Y ), 'c_List_Olist_ONil' ) ]
% 1.25/1.67 )
% 1.25/1.67 , clause( 4609, [ =( 'c_List_Otake'( X, 'c_List_Olist_ONil', Y ),
% 1.25/1.67 'c_List_Olist_ONil' ) ] )
% 1.25/1.67 , clause( 4610, [ =( 'c_List_Otake'( X, 'c_List_Oreplicate'( Y, Z, T ), T )
% 1.25/1.67 , 'c_List_Oreplicate'( 'c_Orderings_Omin'( X, Y, 'tc_nat' ), Z, T ) ) ]
% 1.25/1.67 )
% 1.25/1.67 , clause( 4611, [ =( 'c_List_Otake'( X, 'c_List_Otake'( Y, Z, T ), T ),
% 1.25/1.67 'c_List_Otake'( 'c_Orderings_Omin'( X, Y, 'tc_nat' ), Z, T ) ) ] )
% 1.25/1.67 , clause( 4612, [ ~( 'c_lessequals'( 'c_plus'( X, Y, 'tc_nat' ), Z,
% 1.25/1.67 'tc_nat' ) ), =( 'c_List_Otake'( Y, 'c_List_Oupt'( X, Z ), 'tc_nat' ),
% 1.25/1.67 'c_List_Oupt'( X, 'c_plus'( X, Y, 'tc_nat' ) ) ) ] )
% 1.25/1.67 , clause( 4613, [ =( 'c_List_Otl'( 'c_List_Olist_ONil', X ),
% 1.25/1.67 'c_List_Olist_ONil' ) ] )
% 1.25/1.67 , clause( 4614, [ =( 'c_List_Otl'( 'c_List_Olist_OCons'( X, Y, Z ), Z ), Y
% 1.25/1.67 ) ] )
% 1.25/1.67 , clause( 4615, [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Otl'( 'c_append'(
% 1.25/1.67 X, Y, Z ), Z ), 'c_append'( 'c_List_Otl'( X, Z ), Y, Z ) ) ] )
% 1.25/1.67 , clause( 4616, [ =( X, 'c_0' ), =( 'c_List_Otl'( 'c_List_Oreplicate'( X, Y
% 1.25/1.67 , Z ), Z ), 'c_List_Oreplicate'( 'c_minus'( X, 'c_1', 'tc_nat' ), Y, Z )
% 1.25/1.67 ) ] )
% 1.25/1.67 , clause( 4617, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_List_Oupt'(
% 1.25/1.67 X, 'c_Suc'( Y ) ), 'c_append'( 'c_List_Oupt'( X, Y ),
% 1.25/1.67 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', 'tc_nat' ), 'tc_nat' ) ) ]
% 1.25/1.67 )
% 1.25/1.67 , clause( 4618, [ 'c_lessequals'( X, Y, 'tc_nat' ), =( 'c_List_Oupt'( X,
% 1.25/1.67 'c_Suc'( Y ) ), 'c_List_Olist_ONil' ) ] )
% 1.25/1.67 , clause( 4619, [ ~( =( 'c_List_Oupt'( X, Y ), 'c_List_Olist_ONil' ) ),
% 1.25/1.67 'c_lessequals'( Y, X, 'tc_nat' ), =( Y, 'c_0' ) ] )
% 1.25/1.67 , clause( 4620, [ =( 'c_List_Oupt'( X, 'c_0' ), 'c_List_Olist_ONil' ) ] )
% 1.25/1.67 , clause( 4621, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_List_Oupt'(
% 1.25/1.67 Y, X ), 'c_List_Olist_ONil' ) ] )
% 1.25/1.67 , clause( 4622, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), Y ) ) ] )
% 1.25/1.67 , clause( 4623, [ =( 'c_List_Ozip'( X, 'c_List_Olist_ONil', Y, Z ),
% 1.25/1.67 'c_List_Olist_ONil' ) ] )
% 1.25/1.67 , clause( 4624, [ =( 'c_List_Ozip'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.25/1.67 'c_List_Olist_OCons'( T, U, W ), Z, W ), 'c_List_Olist_OCons'( 'c_Pair'(
% 1.25/1.67 X, T, Z, W ), 'c_List_Ozip'( Y, U, Z, W ), 'tc_prod'( Z, W ) ) ) ] )
% 1.25/1.67 , clause( 4625, [ =( 'c_List_Ozip'( 'c_List_Olist_ONil', X, Y, Z ),
% 1.25/1.67 'c_List_Olist_ONil' ) ] )
% 1.25/1.67 , clause( 4626, [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ),
% 1.25/1.67 'c_Nat_Osize'( Z, 'tc_List_Olist'( T ) ) ) ), ~( =( 'c_Nat_Osize'( U,
% 1.25/1.67 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( W, 'tc_List_Olist'( T ) ) ) ), =(
% 1.25/1.67 'c_List_Ozip'( 'c_append'( U, X, Y ), 'c_append'( W, Z, T ), Y, T ),
% 1.25/1.67 'c_append'( 'c_List_Ozip'( U, W, Y, T ), 'c_List_Ozip'( X, Z, Y, T ),
% 1.25/1.67 'tc_prod'( Y, T ) ) ) ] )
% 1.25/1.67 , clause( 4627, [ =( 'c_List_Ozip'( 'c_List_Oreplicate'( X, Y, Z ),
% 1.25/1.67 'c_List_Oreplicate'( T, U, W ), Z, W ), 'c_List_Oreplicate'(
% 1.25/1.67 'c_Orderings_Omin'( X, T, 'tc_nat' ), 'c_Pair'( Y, U, Z, W ), 'tc_prod'(
% 1.25/1.67 Z, W ) ) ) ] )
% 1.25/1.67 , clause( 4628, [ ~( 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ) ), ~( =(
% 1.25/1.67 'c_Map_Omap__of'( 'c_List_Ozip'( Y, T, Z, U ), X, Z, U ),
% 1.25/1.67 'c_Datatype_Ooption_ONone' ) ), ~( =( 'c_Nat_Osize'( Y, 'tc_List_Olist'(
% 1.25/1.67 Z ) ), 'c_Nat_Osize'( T, 'tc_List_Olist'( U ) ) ) ) ] )
% 1.25/1.67 , clause( 4629, [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ),
% 1.25/1.67 'c_Nat_Osize'( Z, 'tc_List_Olist'( T ) ) ) ), 'c_in'( U, 'c_List_Oset'( X
% 1.25/1.67 , Y ), Y ), =( 'c_Map_Omap__of'( 'c_List_Ozip'( X, Z, Y, T ), U, Y, T ),
% 1.25/1.67 'c_Datatype_Ooption_ONone' ) ] )
% 1.25/1.67 , clause( 4630, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_plus'(
% 1.25/1.67 'c_minus'( Y, X, 'tc_nat' ), Z, 'tc_nat' ), 'c_minus'( 'c_plus'( Y, Z,
% 1.25/1.67 'tc_nat' ), X, 'tc_nat' ) ) ] )
% 1.25/1.67 , clause( 4631, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_plus'( Z,
% 1.25/1.67 'c_minus'( Y, X, 'tc_nat' ), 'tc_nat' ), 'c_minus'( 'c_plus'( Z, Y,
% 1.25/1.67 'tc_nat' ), X, 'tc_nat' ) ) ] )
% 1.25/1.67 , clause( 4632, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_minus'( Z,
% 1.25/1.67 'c_Suc'( 'c_minus'( Y, X, 'tc_nat' ) ), 'tc_nat' ), 'c_minus'( 'c_plus'(
% 1.25/1.67 Z, X, 'tc_nat' ), 'c_Suc'( Y ), 'tc_nat' ) ) ] )
% 1.25/1.67 , clause( 4633, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_minus'(
% 1.25/1.67 'c_Suc'( 'c_minus'( Y, X, 'tc_nat' ) ), Z, 'tc_nat' ), 'c_minus'( 'c_Suc'(
% 1.25/1.67 Y ), 'c_plus'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ] )
% 1.25/1.67 , clause( 4634, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_minus'( Y,
% 1.25/1.67 'c_minus'( Y, X, 'tc_nat' ), 'tc_nat' ), X ) ] )
% 1.25/1.67 , clause( 4635, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_minus'( Z,
% 1.25/1.67 'c_minus'( Y, X, 'tc_nat' ), 'tc_nat' ), 'c_minus'( 'c_plus'( Z, X,
% 1.25/1.67 'tc_nat' ), Y, 'tc_nat' ) ) ] )
% 1.25/1.67 , clause( 4636, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), ~( 'c_less'( 'c_0',
% 1.25/1.67 Y, 'tc_nat' ) ), 'c_less'( 'c_minus'( X, Y, 'tc_nat' ), X, 'tc_nat' ) ]
% 1.25/1.67 )
% 1.25/1.67 , clause( 4637, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.25/1.67 ) ), =( 'c_NatArith_Oof__nat'( 'c_Suc'( Y ), X ), 'c_plus'(
% 1.25/1.67 'c_NatArith_Oof__nat'( Y, X ), 'c_1', X ) ) ] )
% 1.25/1.67 , clause( 4638, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.25/1.67 =( 'c_0', 'c_NatArith_Oof__nat'( Y, X ) ) ), =( 'c_0', Y ) ] )
% 1.25/1.67 , clause( 4639, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), =(
% 1.25/1.67 'c_0', 'c_NatArith_Oof__nat'( 'c_0', X ) ) ] )
% 1.25/1.67 , clause( 4640, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.67 'c_lessequals'( 'c_0', 'c_NatArith_Oof__nat'( Y, X ), X ) ] )
% 1.25/1.67 , clause( 4641, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.25/1.67 'c_less'( 'c_0', 'c_NatArith_Oof__nat'( Y, X ), X ) ), 'c_less'( 'c_0', Y
% 1.25/1.67 , 'tc_nat' ) ] )
% 1.25/1.67 , clause( 4642, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.25/1.67 'c_less'( 'c_0', Y, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_NatArith_Oof__nat'(
% 1.25/1.67 Y, X ), X ) ] )
% 1.25/1.67 , clause( 4643, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.25/1.67 ) ), =( 'c_NatArith_Oof__nat'( 'c_1', X ), 'c_1' ) ] )
% 1.25/1.67 , clause( 4644, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.25/1.67 ) ), =( 'c_NatArith_Oof__nat'( 'c_plus'( Y, Z, 'tc_nat' ), X ), 'c_plus'(
% 1.25/1.67 'c_NatArith_Oof__nat'( Y, X ), 'c_NatArith_Oof__nat'( Z, X ), X ) ) ] )
% 1.25/1.67 , clause( 4645, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~(
% 1.25/1.67 'c_lessequals'( Y, Z, 'tc_nat' ) ), =( 'c_NatArith_Oof__nat'( 'c_minus'(
% 1.25/1.67 Z, Y, 'tc_nat' ), X ), 'c_minus'( 'c_NatArith_Oof__nat'( Z, X ),
% 1.25/1.67 'c_NatArith_Oof__nat'( Y, X ), X ) ) ] )
% 1.25/1.67 , clause( 4646, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.25/1.67 =( 'c_NatArith_Oof__nat'( Y, X ), 'c_0' ) ), =( Y, 'c_0' ) ] )
% 1.25/1.67 , clause( 4647, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), =(
% 1.25/1.67 'c_NatArith_Oof__nat'( 'c_0', X ), 'c_0' ) ] )
% 1.25/1.67 , clause( 4648, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.25/1.67 =( 'c_NatArith_Oof__nat'( Y, X ), 'c_NatArith_Oof__nat'( Z, X ) ) ), =( Y
% 1.25/1.67 , Z ) ] )
% 1.25/1.67 , clause( 4649, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.25/1.67 'c_lessequals'( 'c_NatArith_Oof__nat'( Y, X ), 'c_0', X ) ), =( Y, 'c_0'
% 1.25/1.67 ) ] )
% 1.25/1.67 , clause( 4650, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.67 'c_lessequals'( 'c_NatArith_Oof__nat'( 'c_0', X ), 'c_0', X ) ] )
% 1.25/1.67 , clause( 4651, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.25/1.67 'c_lessequals'( 'c_NatArith_Oof__nat'( Y, X ), 'c_NatArith_Oof__nat'( Z,
% 1.25/1.67 X ), X ) ), 'c_lessequals'( Y, Z, 'tc_nat' ) ] )
% 1.25/1.67 , clause( 4652, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.25/1.67 'c_lessequals'( Y, Z, 'tc_nat' ) ), 'c_lessequals'( 'c_NatArith_Oof__nat'(
% 1.25/1.67 Y, X ), 'c_NatArith_Oof__nat'( Z, X ), X ) ] )
% 1.25/1.67 , clause( 4653, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.25/1.67 'c_less'( 'c_NatArith_Oof__nat'( Y, X ), 'c_0', X ) ) ] )
% 1.25/1.67 , clause( 4654, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.25/1.67 'c_less'( 'c_NatArith_Oof__nat'( Y, X ), 'c_NatArith_Oof__nat'( Z, X ), X
% 1.25/1.67 ) ), 'c_less'( Y, Z, 'tc_nat' ) ] )
% 1.25/1.67 , clause( 4655, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.25/1.67 'c_less'( Y, Z, 'tc_nat' ) ), 'c_less'( 'c_NatArith_Oof__nat'( Y, X ),
% 1.25/1.67 'c_NatArith_Oof__nat'( Z, X ), X ) ] )
% 1.25/1.67 , clause( 4656, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.25/1.67 ) ), =( 'c_NatArith_Oof__nat'( 'c_times'( Y, Z, 'tc_nat' ), X ),
% 1.25/1.67 'c_times'( 'c_NatArith_Oof__nat'( Y, X ), 'c_NatArith_Oof__nat'( Z, X ),
% 1.25/1.67 X ) ) ] )
% 1.25/1.67 , clause( 4657, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_Suc'(
% 1.25/1.67 'c_Numeral_Onumber__of'( X, 'tc_nat' ) ), 'c_1' ) ] )
% 1.25/1.67 , clause( 4658, [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_Suc'(
% 1.25/1.67 'c_Numeral_Onumber__of'( X, 'tc_nat' ) ), 'c_Numeral_Onumber__of'(
% 1.25/1.67 'c_Numeral_Obin__succ'( X ), 'tc_nat' ) ) ] )
% 1.25/1.67 , clause( 4659, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_plus'(
% 1.25/1.67 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y,
% 1.25/1.67 'tc_nat' ), 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ] )
% 1.25/1.67 , clause( 4660, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_IntDef_Oneg'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =(
% 1.25/1.67 'c_plus'( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_Numeral_Onumber__of'(
% 1.25/1.67 X, 'tc_nat' ), 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ] )
% 1.25/1.67 , clause( 4661, [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_IntDef_Oneg'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =(
% 1.25/1.67 'c_plus'( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_Numeral_Onumber__of'(
% 1.25/1.67 X, 'tc_nat' ), 'tc_nat' ), 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'(
% 1.25/1.67 Y, X ), 'tc_nat' ) ) ] )
% 1.25/1.67 , clause( 4662, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_div'(
% 1.25/1.67 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y,
% 1.25/1.67 'tc_nat' ), 'tc_nat' ), 'c_0' ) ] )
% 1.25/1.67 , clause( 4663, [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_div'(
% 1.25/1.67 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y,
% 1.25/1.67 'tc_nat' ), 'tc_nat' ), 'c_IntDef_Onat'( 'c_div'( 'c_Numeral_Onumber__of'(
% 1.25/1.67 X, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.25/1.67 'tc_IntDef_Oint' ) ) ) ] )
% 1.25/1.67 , clause( 4664, [ ~( 'c_Divides_Oop_Advd'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.67 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), =(
% 1.25/1.67 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ),
% 1.25/1.67 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ), 'c_0' ) ] )
% 1.25/1.67 , clause( 4665, [ ~( =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.67 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_0' ) )
% 1.25/1.67 , 'c_Divides_Oop_Advd'( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ),
% 1.25/1.67 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ) ] )
% 1.25/1.67 , clause( 4666, [ ~( =( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_nat' ) ) ),
% 1.25/1.67 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.25/1.67 'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 1.25/1.67 , clause( 4667, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_0',
% 1.25/1.67 'c_Numeral_Onumber__of'( X, 'tc_nat' ) ) ] )
% 1.25/1.67 , clause( 4668, [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_0',
% 1.25/1.67 'c_Numeral_Onumber__of'( X, 'tc_nat' ) ) ] )
% 1.25/1.67 , clause( 4669, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( =( 'c_Numeral_Onumber__of'(
% 1.25/1.67 X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ),
% 1.25/1.67 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.25/1.67 'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y,
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 1.25/1.67 , clause( 4670, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( =( 'c_Numeral_Onumber__of'(
% 1.25/1.67 Y, 'tc_nat' ), 'c_Numeral_Onumber__of'( X, 'tc_nat' ) ) ),
% 1.25/1.67 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.25/1.67 'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y,
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 1.25/1.67 , clause( 4671, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =(
% 1.25/1.67 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y,
% 1.25/1.67 'tc_nat' ) ) ] )
% 1.25/1.67 , clause( 4672, [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~(
% 1.25/1.67 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.25/1.67 'tc_IntDef_Oint' ) ), =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ] )
% 1.25/1.67 , clause( 4673, [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'(
% 1.25/1.67 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( X,
% 1.25/1.67 'c_Numeral_Obin__minus'( Y ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) )
% 1.25/1.67 , ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.25/1.67 'tc_IntDef_Oint' ) ), =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ] )
% 1.25/1.67 , clause( 4674, [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ), 'c_IntDef_Oiszero'(
% 1.25/1.67 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( X,
% 1.25/1.67 'c_Numeral_Obin__minus'( Y ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.25/1.67 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.25/1.67 'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 1.25/1.67 , clause( 4675, [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'(
% 1.25/1.67 'c_Numeral_Obin__add'( X, 'c_Numeral_Obin__minus'( Y ) ),
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_IntDef_Oneg'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.25/1.67 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.25/1.67 'tc_IntDef_Oint' ), =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ] )
% 1.25/1.67 , clause( 4676, [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ),
% 1.25/1.67 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.25/1.67 'tc_IntDef_Oint' ), =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ] )
% 1.25/1.67 , clause( 4677, [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'(
% 1.25/1.67 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( X,
% 1.25/1.67 'c_Numeral_Obin__minus'( Y ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) )
% 1.25/1.67 , 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.25/1.67 'tc_IntDef_Oint' ), =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ] )
% 1.25/1.67 , clause( 4678, [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_Numeral_Onumber__of'( X,
% 1.25/1.67 'tc_nat' ) ) ] )
% 1.25/1.67 , clause( 4679, [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'(
% 1.25/1.67 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.25/1.67 'c_Numeral_Obin__minus'( X ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) )
% 1.25/1.67 , 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.25/1.67 'tc_IntDef_Oint' ), =( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ),
% 1.25/1.67 'c_Numeral_Onumber__of'( X, 'tc_nat' ) ) ] )
% 1.25/1.67 , clause( 4680, [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~(
% 1.25/1.67 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.25/1.67 'tc_IntDef_Oint' ) ), =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ] )
% 1.25/1.67 , clause( 4681, [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~(
% 1.25/1.67 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( X,
% 1.25/1.67 'c_Numeral_Obin__minus'( Y ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) )
% 1.25/1.67 , =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y,
% 1.25/1.67 'tc_nat' ) ) ] )
% 1.25/1.67 , clause( 4682, [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ),
% 1.25/1.67 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.25/1.67 'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 1.25/1.67 , clause( 4683, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_Numeral_Onumber__of'( X,
% 1.25/1.67 'tc_nat' ), 'c_0' ) ] )
% 1.25/1.67 , clause( 4684, [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_Numeral_Onumber__of'( X,
% 1.25/1.67 'tc_nat' ), 'c_0' ) ] )
% 1.25/1.67 , clause( 4685, [ =( 'c_IntDef_Oint'( 'c_plus'( X, Y, 'tc_nat' ) ),
% 1.25/1.67 'c_plus'( 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' )
% 1.25/1.67 ) ] )
% 1.25/1.67 , clause( 4686, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_IntDef_Oint'(
% 1.25/1.67 'c_Numeral_Onumber__of'( X, 'tc_nat' ) ), 'c_0' ) ] )
% 1.25/1.67 , clause( 4687, [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_IntDef_Oint'(
% 1.25/1.67 'c_Numeral_Onumber__of'( X, 'tc_nat' ) ), 'c_Numeral_Onumber__of'( X,
% 1.25/1.67 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.67 , clause( 4688, [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_nat'
% 1.25/1.67 ), 'tc_nat' ) ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'(
% 1.25/1.67 'c_Numeral_Obin__minus'( X ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 1.25/1.67 , clause( 4689, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'(
% 1.25/1.67 'c_Numeral_Obin__minus'( X ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ),
% 1.25/1.67 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ) ] )
% 1.25/1.67 , clause( 4690, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_less'(
% 1.25/1.67 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y,
% 1.25/1.67 'tc_nat' ), 'tc_nat' ) ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'(
% 1.25/1.67 'c_Numeral_Obin__minus'( Y ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 1.25/1.67 , clause( 4691, [ ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), 'c_IntDef_Oneg'(
% 1.25/1.67 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.25/1.67 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( X,
% 1.25/1.67 'c_Numeral_Obin__minus'( Y ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ]
% 1.25/1.67 )
% 1.25/1.67 , clause( 4692, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'(
% 1.25/1.67 'c_Numeral_Obin__add'( X, 'c_Numeral_Obin__minus'( Y ) ),
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_IntDef_Oneg'(
% 1.25/1.67 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.25/1.67 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'(
% 1.25/1.67 Y, 'tc_nat' ), 'tc_nat' ) ] )
% 1.25/1.67 , clause( 4693, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'(
% 1.25/1.67 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__minus'( Y ), 'tc_IntDef_Oint' )
% 1.25/1.67 , 'tc_IntDef_Oint' ) ), 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_nat' )
% 1.25/1.67 , 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ] )
% 1.25/1.67 , clause( 4694, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'(
% 1.25/1.67 'c_Numeral_Obin__add'( X, 'c_Numeral_Obin__minus'( Y ) ),
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'(
% 1.25/1.67 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__minus'( Y ), 'tc_IntDef_Oint' )
% 1.25/1.67 , 'tc_IntDef_Oint' ) ), 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_nat' )
% 1.25/1.67 , 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ] )
% 1.25/1.67 , clause( 4695, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'(
% 1.25/1.67 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y,
% 1.25/1.67 'tc_nat' ), 'tc_nat' ), 'c_0' ) ] )
% 1.25/1.67 , clause( 4696, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_IntDef_Oneg'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =(
% 1.25/1.67 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ),
% 1.25/1.67 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ),
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ] )
% 1.25/1.67 , clause( 4697, [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_IntDef_Oneg'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =(
% 1.25/1.67 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ),
% 1.25/1.67 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ), 'c_IntDef_Onat'(
% 1.25/1.67 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.25/1.67 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ) ]
% 1.25/1.67 )
% 1.25/1.67 , clause( 4698, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_times'(
% 1.25/1.67 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y,
% 1.25/1.67 'tc_nat' ), 'tc_nat' ), 'c_0' ) ] )
% 1.25/1.67 , clause( 4699, [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_times'(
% 1.25/1.67 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y,
% 1.25/1.67 'tc_nat' ), 'tc_nat' ), 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__mult'(
% 1.25/1.67 X, Y ), 'tc_nat' ) ) ] )
% 1.25/1.67 , clause( 4700, [ =( 'c_IntDef_Onat'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.67 'tc_IntDef_Oint' ) ), 'c_Numeral_Onumber__of'( X, 'tc_nat' ) ) ] )
% 1.25/1.67 , clause( 4701, [ =( 'c_Numeral_Onumber__of'( 'c_Numeral_OPls', 'tc_nat' )
% 1.25/1.67 , 'c_0' ) ] )
% 1.25/1.67 , clause( 4702, [ =( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.25/1.67 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'tc_nat' ), 'c_1' ) ] )
% 1.25/1.67 , clause( 4703, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.67 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.25/1.67 'tc_IntDef_Oint' ) ), =( 'c_NatArith_Oof__nat'( 'c_Numeral_Onumber__of'(
% 1.25/1.67 Y, 'tc_nat' ), X ), 'c_0' ) ] )
% 1.25/1.67 , clause( 4704, [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'c_IntDef_Oneg'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =(
% 1.25/1.67 'c_NatArith_Oof__nat'( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ),
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ) ) ] )
% 1.25/1.67 , clause( 4705, [ =( 'c_div'( 'c_Suc'( 'c_0' ), 'c_Numeral_Onumber__of'( X
% 1.25/1.67 , 'tc_nat' ), 'tc_nat' ), 'c_IntDef_Onat'( 'c_div'( 'c_1',
% 1.25/1.67 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ) ]
% 1.25/1.67 )
% 1.25/1.67 , clause( 4706, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'(
% 1.25/1.67 'c_Suc'( 'c_0' ), 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ),
% 1.25/1.67 'c_Suc'( 'c_0' ) ) ] )
% 1.25/1.67 , clause( 4707, [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_Divides_Oop_Amod'( 'c_Suc'(
% 1.25/1.67 'c_0' ), 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ),
% 1.25/1.67 'c_IntDef_Onat'( 'c_Divides_Oop_Amod'( 'c_1', 'c_Numeral_Onumber__of'( X
% 1.25/1.67 , 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ) ] )
% 1.25/1.67 , clause( 4708, [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'(
% 1.25/1.67 'c_1', 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.25/1.67 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.25/1.67 'tc_nat' ), X ), 'c_1' ) ] )
% 1.25/1.67 , clause( 4709, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'(
% 1.25/1.67 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.25/1.67 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), X ),
% 1.25/1.67 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Y, X
% 1.25/1.67 ), X ) ) ] )
% 1.25/1.67 , clause( 4710, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( 'c_Nat_Opower'(
% 1.25/1.67 'c_uminus'( Y, X ), 'c_times'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.25/1.67 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.25/1.67 'c_Numeral_Obit_OB0' ), 'tc_nat' ), Z, 'tc_nat' ), X ), 'c_Nat_Opower'( Y
% 1.25/1.67 , 'c_times'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.25/1.67 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.25/1.67 'tc_nat' ), Z, 'tc_nat' ), X ) ) ] )
% 1.25/1.67 , clause( 4711, [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_Nat_Opower'(
% 1.25/1.67 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y,
% 1.25/1.67 'tc_nat' ), 'tc_nat' ), 'c_Nat_Opower'( 'c_0', 'c_Numeral_Onumber__of'( Y
% 1.25/1.67 , 'tc_nat' ), 'tc_nat' ) ) ] )
% 1.25/1.67 , clause( 4712, [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_Nat_Opower'(
% 1.25/1.67 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y,
% 1.25/1.67 'tc_nat' ), 'tc_nat' ), 'c_IntDef_Onat'( 'c_Nat_Opower'(
% 1.25/1.67 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.25/1.67 Y, 'tc_nat' ), 'tc_IntDef_Oint' ) ) ) ] )
% 1.25/1.67 , clause( 4713, [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'(
% 1.25/1.67 'c_0', 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.25/1.67 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.25/1.67 'tc_nat' ), X ), 'c_0' ) ] )
% 1.25/1.67 , clause( 4714, [ =( 'c_div'( 'c_Suc'( 'c_Suc'( 'c_Suc'( X ) ) ),
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_div'( 'c_plus'(
% 1.25/1.67 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.25/1.67 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB1' ),
% 1.25/1.67 'tc_nat' ), X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ),
% 1.25/1.67 'tc_nat' ) ) ] )
% 1.25/1.67 , clause( 4715, [ =( 'c_Divides_Oop_Amod'( 'c_Suc'( 'c_Suc'( 'c_Suc'( X ) )
% 1.25/1.67 ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ),
% 1.25/1.67 'c_Divides_Oop_Amod'( 'c_plus'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.25/1.67 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.25/1.67 'c_Numeral_Obit_OB1' ), 'tc_nat' ), X, 'tc_nat' ),
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ) ] )
% 1.25/1.67 , clause( 4716, [ =( 'c_plus'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.25/1.67 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.25/1.67 'c_Numeral_Obit_OB0' ), 'tc_nat' ), X, 'tc_nat' ), 'c_Suc'( 'c_Suc'( X )
% 1.25/1.67 ) ) ] )
% 1.25/1.67 , clause( 4717, [ =( 'c_plus'( X, 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.25/1.67 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.25/1.67 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ), 'c_Suc'( 'c_Suc'( X ) ) )
% 1.25/1.67 ] )
% 1.25/1.67 , clause( 4718, [ =( 'c_div'( 'c_plus'( X, X, 'tc_nat' ),
% 1.25/1.67 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.25/1.67 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.25/1.67 'tc_nat' ), 'tc_nat' ), X ) ] )
% 1.25/1.67 , clause( 4719, [ =( 'c_div'( 'c_Suc'( 'c_Suc'( X ) ),
% 1.25/1.67 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.25/1.67 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.25/1.67 'tc_nat' ), 'tc_nat' ), 'c_Suc'( 'c_div'( X, 'c_Numeral_Onumber__of'(
% 1.25/1.67 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.25/1.67 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ) )
% 1.25/1.67 ) ] )
% 1.25/1.67 , clause( 4720, [ =( 'c_div'( X, 'c_Suc'( 'c_Suc'( 'c_Suc'( Y ) ) ),
% 1.25/1.67 'tc_nat' ), 'c_div'( X, 'c_plus'( 'c_Numeral_Onumber__of'(
% 1.25/1.67 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.25/1.67 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB1' ), 'tc_nat' ), Y, 'tc_nat' )
% 1.25/1.67 , 'tc_nat' ) ) ] )
% 1.25/1.67 , clause( 4721, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_times'( 'c_divide'( Y,
% 1.25/1.67 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_Numeral_Onumber__of'( Z, X ), X
% 1.25/1.67 ) ), =( 'c_Numeral_Onumber__of'( Z, X ), 'c_0' ) ] )
% 1.25/1.67 , clause( 4722, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_Numeral_Onumber__of'( Y
% 1.25/1.67 , X ), 'c_0' ) ), =( 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ), X )
% 1.25/1.67 , 'c_0' ) ] )
% 1.25/1.67 , clause( 4723, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Numeral_Onumber__of'( Y, X
% 1.25/1.67 ), 'c_0' ), =( 'c_divide'( 'c_times'( Z, 'c_Numeral_Onumber__of'( Y, X )
% 1.25/1.67 , X ), 'c_Numeral_Onumber__of'( Y, X ), X ), Z ) ] )
% 1.25/1.67 , clause( 4724, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_times'( 'c_0',
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'( Y, X ), X
% 1.25/1.67 ), 'c_0' ) ] )
% 1.25/1.67 , clause( 4725, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'(
% 1.25/1.67 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ),
% 1.25/1.67 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ),
% 1.25/1.67 'c_lessequals'( 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ] )
% 1.25/1.67 , clause( 4726, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'(
% 1.25/1.67 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ),
% 1.25/1.67 'c_lessequals'( 'c_0', Z, X ), 'c_lessequals'( 'c_0',
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), X ) ] )
% 1.25/1.67 , clause( 4727, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'(
% 1.25/1.67 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ),
% 1.25/1.67 'c_lessequals'( Z, 'c_0', X ), 'c_lessequals'( 'c_Numeral_Onumber__of'( Y
% 1.25/1.67 , X ), 'c_0', X ) ] )
% 1.25/1.67 , clause( 4728, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'(
% 1.25/1.67 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ),
% 1.25/1.67 'c_lessequals'( Z, 'c_0', X ), 'c_lessequals'( 'c_0', Z, X ) ] )
% 1.25/1.67 , clause( 4729, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.25/1.67 'c_0', X ) ), ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ),
% 1.25/1.67 X ) ), 'c_lessequals'( 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X
% 1.25/1.67 ), 'c_0', X ) ] )
% 1.25/1.67 , clause( 4730, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.25/1.67 , Y, X ) ), ~( 'c_lessequals'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X
% 1.25/1.67 ) ), 'c_lessequals'( 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X )
% 1.25/1.67 , 'c_0', X ) ] )
% 1.25/1.67 , clause( 4731, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'( 'c_divide'( Z
% 1.25/1.67 , 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_lessequals'( Z,
% 1.25/1.67 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ] )
% 1.25/1.67 , clause( 4732, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'(
% 1.25/1.67 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'(
% 1.25/1.67 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_lessequals'( 'c_times'( T
% 1.25/1.67 , 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ] )
% 1.25/1.67 , clause( 4733, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'(
% 1.25/1.67 'c_divide'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), T, X ) ), 'c_less'(
% 1.25/1.67 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_less'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ), 'c_lessequals'( 'c_0', T, X
% 1.25/1.67 ) ] )
% 1.25/1.67 , clause( 4734, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.25/1.67 , Y, X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ),
% 1.25/1.67 'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ), 'c_lessequals'(
% 1.25/1.67 'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X ), Y, X ) ] )
% 1.25/1.67 , clause( 4735, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'(
% 1.25/1.67 'c_times'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'(
% 1.25/1.67 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_lessequals'( 'c_divide'(
% 1.25/1.67 T, 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ] )
% 1.25/1.67 , clause( 4736, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.25/1.67 , Y, X ) ), ~( 'c_lessequals'( 'c_times'( Y, 'c_Numeral_Onumber__of'( Z,
% 1.25/1.67 X ), X ), T, X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X )
% 1.25/1.67 , 'c_lessequals'( 'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X ), Y
% 1.25/1.67 , X ) ] )
% 1.25/1.67 , clause( 4737, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'( Z, 'c_times'(
% 1.25/1.67 T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_lessequals'(
% 1.25/1.67 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ] )
% 1.25/1.67 , clause( 4738, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.25/1.67 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~(
% 1.25/1.67 'c_lessequals'( 'c_0', Z, X ) ), 'c_less'( 'c_Numeral_Onumber__of'( T, X
% 1.25/1.67 ), 'c_0', X ), 'c_lessequals'( 'c_divide'( Y, 'c_Numeral_Onumber__of'( T
% 1.25/1.67 , X ), X ), Z, X ) ] )
% 1.25/1.67 , clause( 4739, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( Z,
% 1.25/1.67 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), ~(
% 1.25/1.67 'c_lessequals'( 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X
% 1.25/1.67 ) ), 'c_lessequals'( 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ), X )
% 1.25/1.67 , T, X ) ] )
% 1.25/1.67 , clause( 4740, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.25/1.67 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~(
% 1.25/1.67 'c_lessequals'( 'c_0', Z, X ) ), ~( 'c_lessequals'( 'c_times'( Z,
% 1.25/1.67 'c_Numeral_Onumber__of'( T, X ), X ), Y, X ) ), 'c_lessequals'(
% 1.25/1.67 'c_divide'( Y, 'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ] )
% 1.25/1.67 , clause( 4741, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ), 'c_less'( 'c_0',
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'( 'c_Numeral_Onumber__of'(
% 1.25/1.67 Y, X ), 'c_0', X ) ] )
% 1.25/1.67 , clause( 4742, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ), 'c_less'( 'c_0', Z
% 1.25/1.67 , X ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ] )
% 1.25/1.67 , clause( 4743, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ), 'c_less'( Z, 'c_0'
% 1.25/1.67 , X ), 'c_less'( 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ] )
% 1.25/1.67 , clause( 4744, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ), 'c_less'( Z, 'c_0'
% 1.25/1.67 , X ), 'c_less'( 'c_0', Z, X ) ] )
% 1.25/1.67 , clause( 4745, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.25/1.67 ) ), ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ) ),
% 1.25/1.67 'c_less'( 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X ), 'c_0', X )
% 1.25/1.67 ] )
% 1.25/1.67 , clause( 4746, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.25/1.67 ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ),
% 1.25/1.67 'c_less'( 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X ), 'c_0', X )
% 1.25/1.67 ] )
% 1.25/1.67 , clause( 4747, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_less'( 'c_divide'( Z,
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'( Z, 'c_times'( T
% 1.25/1.67 , 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ] )
% 1.25/1.67 , clause( 4748, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_less'( 'c_divide'( Z
% 1.25/1.67 , 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'( 'c_0',
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'( 'c_times'( T,
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ] )
% 1.25/1.67 , clause( 4749, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'(
% 1.25/1.67 Y, 'c_Numeral_Onumber__of'( Z, X ), X ), T, X ) ), 'c_less'( 'c_0', T, X
% 1.25/1.67 ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_less'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ] )
% 1.25/1.67 , clause( 4750, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.25/1.67 ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_less'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ), 'c_less'( 'c_divide'( T,
% 1.25/1.67 'c_Numeral_Onumber__of'( Z, X ), X ), Y, X ) ] )
% 1.25/1.67 , clause( 4751, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_less'( 'c_times'( Z
% 1.25/1.67 , 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'( 'c_0',
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'( 'c_divide'( T,
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ] )
% 1.25/1.67 , clause( 4752, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.25/1.67 ) ), ~( 'c_less'( 'c_times'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), T
% 1.25/1.67 , X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_less'(
% 1.25/1.67 'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X ), Y, X ) ] )
% 1.25/1.67 , clause( 4753, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.25/1.67 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'(
% 1.25/1.67 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ) ), 'c_less'( 'c_divide'( Y,
% 1.25/1.67 'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ] )
% 1.25/1.67 , clause( 4754, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.25/1.67 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'(
% 1.25/1.67 'c_0', Z, X ) ), 'c_less'( 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ),
% 1.25/1.67 'c_less'( 'c_divide'( Y, 'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ]
% 1.25/1.67 )
% 1.25/1.67 , clause( 4755, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.25/1.67 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'(
% 1.25/1.67 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ), ~( 'c_less'( 'c_times'( Z
% 1.25/1.67 , 'c_Numeral_Onumber__of'( T, X ), X ), Y, X ) ), 'c_less'( 'c_divide'( Y
% 1.25/1.67 , 'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ] )
% 1.25/1.67 , clause( 4756, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.25/1.67 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'(
% 1.25/1.67 'c_0', Z, X ) ), ~( 'c_less'( 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X
% 1.25/1.67 ), X ), Y, X ) ), 'c_less'( 'c_divide'( Y, 'c_Numeral_Onumber__of'( T, X
% 1.25/1.67 ), X ), Z, X ) ] )
% 1.25/1.67 , clause( 4757, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y,
% 1.25/1.67 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), X ), 'c_uminus'( Y, X ) )
% 1.25/1.67 ] )
% 1.25/1.67 , clause( 4758, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Numeral_Onumber__of'( Y, X
% 1.25/1.67 ), 'c_0' ), =( 'c_times'( 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X )
% 1.25/1.67 , X ), 'c_Numeral_Onumber__of'( Y, X ), X ), Z ) ] )
% 1.25/1.67 , clause( 4759, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_Numeral_Onumber__of'( Y
% 1.25/1.67 , X ), 'c_0' ) ), =( 'c_0', 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X
% 1.25/1.67 ), X ) ) ] )
% 1.25/1.67 , clause( 4760, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_divide'( 'c_times'( Y,
% 1.25/1.67 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_Numeral_Onumber__of'( Z, X ), X
% 1.25/1.67 ) ), =( 'c_Numeral_Onumber__of'( Z, X ), 'c_0' ) ] )
% 1.25/1.67 , clause( 4761, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_0', 'c_divide'( 'c_times'(
% 1.25/1.67 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'( Y,
% 1.25/1.67 X ), X ) ) ] )
% 1.25/1.67 , clause( 4762, [ ~( 'class_HOL_Oone'( X ) ), ~(
% 1.25/1.67 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 'c_uminus'( Y, X ),
% 1.25/1.67 'c_1' ) ), =( Y, 'c_uminus'( 'c_1', X ) ) ] )
% 1.25/1.67 , clause( 4763, [ ~( 'class_HOL_Oone'( X ) ), ~(
% 1.25/1.67 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_uminus'( 'c_uminus'(
% 1.25/1.67 'c_1', X ), X ), 'c_1' ) ] )
% 1.25/1.67 , clause( 4764, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), 'c_uminus'( Z, X ) ) ), =( Z, 'c_uminus'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), X ) ) ] )
% 1.25/1.67 , clause( 4765, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_Numeral_Onumber__of'(
% 1.25/1.67 Y, X ), 'c_uminus'( 'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), X )
% 1.25/1.67 ) ] )
% 1.25/1.67 , clause( 4766, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.25/1.67 ) ), 'c_less'( 'c_0', 'c_divide'( Y, 'c_Numeral_Onumber__of'(
% 1.25/1.67 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.25/1.67 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), X ), X ), X ) ] )
% 1.25/1.67 , clause( 4767, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_divide'( 'c_1',
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), X ) ) ] )
% 1.25/1.67 , clause( 4768, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'( Z, 'c_divide'(
% 1.25/1.67 T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_lessequals'( 'c_times'(
% 1.25/1.67 Z, 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ] )
% 1.25/1.67 , clause( 4769, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( Z,
% 1.25/1.67 'c_divide'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_less'(
% 1.25/1.67 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_lessequals'( T, 'c_times'(
% 1.25/1.67 Z, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ] )
% 1.25/1.67 , clause( 4770, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.25/1.67 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), 'c_less'(
% 1.25/1.67 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ), 'c_less'(
% 1.25/1.67 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ), 'c_lessequals'( Y, 'c_0', X
% 1.25/1.67 ) ] )
% 1.25/1.67 , clause( 4771, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.25/1.67 'c_0', X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ),
% 1.25/1.67 'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ), 'c_lessequals'( Y
% 1.25/1.67 , 'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X ), X ) ] )
% 1.25/1.67 , clause( 4772, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( Z,
% 1.25/1.67 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_less'(
% 1.25/1.67 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_lessequals'( T,
% 1.25/1.67 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ] )
% 1.25/1.67 , clause( 4773, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.25/1.67 'c_0', X ) ), ~( 'c_lessequals'( Z, 'c_times'( Y, 'c_Numeral_Onumber__of'(
% 1.25/1.67 T, X ), X ), X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X )
% 1.25/1.67 , 'c_lessequals'( Y, 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X )
% 1.25/1.67 , X ) ] )
% 1.25/1.67 , clause( 4774, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'( 'c_times'( Z,
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_lessequals'( Z,
% 1.25/1.67 'c_divide'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ] )
% 1.25/1.67 , clause( 4775, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.25/1.67 'c_0', X ) ), ~( 'c_lessequals'( 'c_times'( Y, 'c_Numeral_Onumber__of'( Z
% 1.25/1.67 , X ), X ), T, X ) ), 'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X
% 1.25/1.67 ), 'c_lessequals'( Y, 'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X
% 1.25/1.67 ), X ) ] )
% 1.25/1.67 , clause( 4776, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( Z,
% 1.25/1.67 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), ~(
% 1.25/1.67 'c_lessequals'( 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X
% 1.25/1.67 ) ), 'c_lessequals'( T, 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ),
% 1.25/1.67 X ), X ) ] )
% 1.25/1.67 , clause( 4777, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.25/1.67 'c_0', X ) ), ~( 'c_lessequals'( Z, 'c_times'( Y, 'c_Numeral_Onumber__of'(
% 1.25/1.67 T, X ), X ), X ) ), ~( 'c_lessequals'( 'c_times'( Y,
% 1.25/1.67 'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ), 'c_lessequals'( Y,
% 1.25/1.67 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ] )
% 1.25/1.67 , clause( 4778, [ ~( 'class_HOL_Oone'( X ) ), ~(
% 1.25/1.67 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'(
% 1.25/1.67 'c_1', 'c_uminus'( Y, X ), X ) ), 'c_lessequals'( Y, 'c_uminus'( 'c_1', X
% 1.25/1.67 ), X ) ] )
% 1.25/1.67 , clause( 4779, [ ~( 'class_HOL_Oone'( X ) ), ~(
% 1.25/1.67 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'(
% 1.25/1.67 Y, 'c_uminus'( 'c_1', X ), X ) ), 'c_lessequals'( 'c_1', 'c_uminus'( Y, X
% 1.25/1.67 ), X ) ] )
% 1.25/1.67 , clause( 4780, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), 'c_uminus'( Z, X ), X ) ),
% 1.25/1.67 'c_lessequals'( Z, 'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), X )
% 1.25/1.67 ] )
% 1.25/1.67 , clause( 4781, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'(
% 1.25/1.67 Y, 'c_uminus'( 'c_Numeral_Onumber__of'( Z, X ), X ), X ) ),
% 1.25/1.67 'c_lessequals'( 'c_Numeral_Onumber__of'( Z, X ), 'c_uminus'( Y, X ), X )
% 1.25/1.67 ] )
% 1.25/1.67 , clause( 4782, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oring'( X ) ), =( 'c_times'( 'c_minus'( Y, Z, X )
% 1.25/1.67 , 'c_Numeral_Onumber__of'( T, X ), X ), 'c_minus'( 'c_times'( Y,
% 1.25/1.67 'c_Numeral_Onumber__of'( T, X ), X ), 'c_times'( Z,
% 1.25/1.67 'c_Numeral_Onumber__of'( T, X ), X ), X ) ) ] )
% 1.25/1.67 , clause( 4783, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Osemiring'( X ) ), =( 'c_times'( 'c_plus'( Y, Z,
% 1.25/1.67 X ), 'c_Numeral_Onumber__of'( T, X ), X ), 'c_plus'( 'c_times'( Y,
% 1.25/1.67 'c_Numeral_Onumber__of'( T, X ), X ), 'c_times'( Z,
% 1.25/1.67 'c_Numeral_Onumber__of'( T, X ), X ), X ) ) ] )
% 1.25/1.67 , clause( 4784, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.25/1.67 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'(
% 1.25/1.67 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ) ), 'c_less'( 'c_times'( Y,
% 1.25/1.67 'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ] )
% 1.25/1.67 , clause( 4785, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.25/1.67 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'(
% 1.25/1.67 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ), 'c_less'( Z, 'c_times'( Y
% 1.25/1.67 , 'c_Numeral_Onumber__of'( T, X ), X ), X ), 'c_less'( 'c_0',
% 1.25/1.67 'c_Numeral_Onumber__of'( T, X ), X ) ] )
% 1.25/1.67 , clause( 4786, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.25/1.67 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), 'c_less'( Y,
% 1.25/1.67 'c_0', X ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ),
% 1.25/1.67 'c_less'( 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ] )
% 1.25/1.67 , clause( 4787, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.25/1.67 ) ), 'c_less'( Y, 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X
% 1.25/1.67 ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ), 'c_less'(
% 1.25/1.67 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ] )
% 1.25/1.67 , clause( 4788, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.25/1.67 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'(
% 1.25/1.67 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ), 'c_less'( Z, 'c_divide'( Y
% 1.25/1.67 , 'c_Numeral_Onumber__of'( T, X ), X ), X ), 'c_less'( 'c_0',
% 1.25/1.67 'c_Numeral_Onumber__of'( T, X ), X ) ] )
% 1.25/1.67 , clause( 4789, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.25/1.67 ) ), ~( 'c_less'( Z, 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X )
% 1.25/1.67 , X ) ), 'c_less'( Y, 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X )
% 1.25/1.67 , X ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ) ] )
% 1.25/1.67 , clause( 4790, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_less'( 'c_times'( Z,
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'( Z, 'c_divide'(
% 1.25/1.67 T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ] )
% 1.25/1.67 , clause( 4791, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.25/1.67 ) ), ~( 'c_less'( 'c_times'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), T
% 1.25/1.67 , X ) ), 'c_less'( Y, 'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X )
% 1.25/1.67 , X ), 'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ] )
% 1.25/1.67 , clause( 4792, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.25/1.67 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'(
% 1.25/1.67 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ), ~( 'c_less'( 'c_times'( Z
% 1.25/1.67 , 'c_Numeral_Onumber__of'( T, X ), X ), Y, X ) ), 'c_less'( Z, 'c_divide'(
% 1.25/1.67 Y, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ] )
% 1.25/1.67 , clause( 4793, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.25/1.67 ) ), ~( 'c_less'( Z, 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X )
% 1.25/1.67 , X ) ), ~( 'c_less'( 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X )
% 1.25/1.67 , Z, X ) ), 'c_less'( Y, 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ),
% 1.25/1.67 X ), X ) ] )
% 1.25/1.67 , clause( 4794, [ ~( 'class_HOL_Oone'( X ) ), ~(
% 1.25/1.67 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( 'c_1'
% 1.25/1.67 , 'c_uminus'( Y, X ), X ) ), 'c_less'( Y, 'c_uminus'( 'c_1', X ), X ) ]
% 1.25/1.67 )
% 1.25/1.67 , clause( 4795, [ ~( 'class_HOL_Oone'( X ) ), ~(
% 1.25/1.67 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( Y,
% 1.25/1.67 'c_uminus'( 'c_1', X ), X ) ), 'c_less'( 'c_1', 'c_uminus'( Y, X ), X ) ]
% 1.25/1.67 )
% 1.25/1.67 , clause( 4796, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), 'c_uminus'( Z, X ), X ) ), 'c_less'( Z,
% 1.25/1.67 'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ] )
% 1.25/1.67 , clause( 4797, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( Y,
% 1.25/1.67 'c_uminus'( 'c_Numeral_Onumber__of'( Z, X ), X ), X ) ), 'c_less'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Z, X ), 'c_uminus'( Y, X ), X ) ] )
% 1.25/1.67 , clause( 4798, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'(
% 1.25/1.67 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), Y, X ), 'c_uminus'(
% 1.25/1.67 'c_divide'( 'c_1', Y, X ), X ) ) ] )
% 1.25/1.67 , clause( 4799, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 'c_uminus'( Y, X ),
% 1.25/1.67 'c_Numeral_Onumber__of'( Z, X ) ) ), =( 'c_uminus'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Z, X ), X ), Y ) ] )
% 1.25/1.67 , clause( 4800, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_uminus'( 'c_uminus'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), X ), X ), 'c_Numeral_Onumber__of'( Y, X
% 1.25/1.67 ) ) ] )
% 1.25/1.67 , clause( 4801, [ ~( 'class_HOL_Oone'( X ) ), ~(
% 1.25/1.67 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'(
% 1.25/1.67 'c_uminus'( Y, X ), 'c_1', X ) ), 'c_lessequals'( 'c_uminus'( 'c_1', X )
% 1.25/1.67 , Y, X ) ] )
% 1.25/1.67 , clause( 4802, [ ~( 'class_HOL_Oone'( X ) ), ~(
% 1.25/1.67 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'(
% 1.25/1.67 'c_uminus'( 'c_1', X ), Y, X ) ), 'c_lessequals'( 'c_uminus'( Y, X ),
% 1.25/1.67 'c_1', X ) ] )
% 1.25/1.67 , clause( 4803, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'(
% 1.25/1.67 'c_uminus'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ) ),
% 1.25/1.67 'c_lessequals'( 'c_uminus'( 'c_Numeral_Onumber__of'( Z, X ), X ), Y, X )
% 1.25/1.67 ] )
% 1.25/1.67 , clause( 4804, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'(
% 1.25/1.67 'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ),
% 1.25/1.67 'c_lessequals'( 'c_uminus'( Z, X ), 'c_Numeral_Onumber__of'( Y, X ), X )
% 1.25/1.67 ] )
% 1.25/1.67 , clause( 4805, [ ~( 'class_HOL_Oone'( X ) ), ~(
% 1.25/1.67 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.25/1.67 'c_uminus'( Y, X ), 'c_1', X ) ), 'c_less'( 'c_uminus'( 'c_1', X ), Y, X
% 1.25/1.67 ) ] )
% 1.25/1.67 , clause( 4806, [ ~( 'class_HOL_Oone'( X ) ), ~(
% 1.25/1.67 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.25/1.67 'c_uminus'( 'c_1', X ), Y, X ) ), 'c_less'( 'c_uminus'( Y, X ), 'c_1', X
% 1.25/1.67 ) ] )
% 1.25/1.67 , clause( 4807, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.25/1.67 'c_uminus'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ) ), 'c_less'(
% 1.25/1.67 'c_uminus'( 'c_Numeral_Onumber__of'( Z, X ), X ), Y, X ) ] )
% 1.25/1.67 , clause( 4808, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.25/1.67 'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ), 'c_less'(
% 1.25/1.67 'c_uminus'( Z, X ), 'c_Numeral_Onumber__of'( Y, X ), X ) ] )
% 1.25/1.67 , clause( 4809, [ =( 'c_Divides_Oop_Amod'( 'c_Suc'( 'c_Suc'( X ) ),
% 1.25/1.67 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.25/1.67 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.25/1.67 'tc_nat' ), 'tc_nat' ), 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'(
% 1.25/1.67 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.25/1.67 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ) )
% 1.25/1.67 ] )
% 1.25/1.67 , clause( 4810, [ ~( 'c_less'( 'c_0', 'c_Divides_Oop_Amod'( X,
% 1.25/1.67 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.25/1.67 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.25/1.67 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ), =( 'c_Divides_Oop_Amod'( X,
% 1.25/1.67 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.25/1.67 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.25/1.67 'tc_nat' ), 'tc_nat' ), 'c_1' ) ] )
% 1.25/1.67 , clause( 4811, [ ~( =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'(
% 1.25/1.67 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.25/1.67 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ),
% 1.25/1.67 'c_1' ) ), 'c_less'( 'c_0', 'c_Divides_Oop_Amod'( X,
% 1.25/1.67 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.25/1.67 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.25/1.67 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ] )
% 1.25/1.67 , clause( 4812, [ =( 'c_Divides_Oop_Amod'( X, 'c_Suc'( 'c_Suc'( 'c_Suc'( Y
% 1.25/1.67 ) ) ), 'tc_nat' ), 'c_Divides_Oop_Amod'( X, 'c_plus'(
% 1.25/1.67 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.25/1.67 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB1' ),
% 1.25/1.67 'tc_nat' ), Y, 'tc_nat' ), 'tc_nat' ) ) ] )
% 1.25/1.67 , clause( 4813, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'(
% 1.25/1.67 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'(
% 1.25/1.67 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ), 'c_lessequals'( Z, T, X )
% 1.25/1.67 ] )
% 1.25/1.67 , clause( 4814, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'(
% 1.25/1.67 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ), 'c_lessequals'( T, Z, X )
% 1.25/1.67 ] )
% 1.25/1.67 , clause( 4815, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 'c_less'( 'c_0',
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'( 'c_Numeral_Onumber__of'(
% 1.25/1.67 Y, X ), 'c_0', X ), 'c_lessequals'( 'c_times'( 'c_Numeral_Onumber__of'( Y
% 1.25/1.67 , X ), Z, X ), 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ]
% 1.25/1.67 )
% 1.25/1.67 , clause( 4816, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'(
% 1.25/1.67 Y, Z, X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ),
% 1.25/1.67 'c_lessequals'( 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Z, X ),
% 1.25/1.67 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Y, X ), X ) ] )
% 1.25/1.67 , clause( 4817, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'(
% 1.25/1.67 Y, Z, X ) ), 'c_less'( 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ),
% 1.25/1.67 'c_lessequals'( 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Y, X ),
% 1.25/1.67 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Z, X ), X ) ] )
% 1.25/1.67 , clause( 4818, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'(
% 1.25/1.67 Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ), 'c_lessequals'( 'c_times'(
% 1.25/1.67 'c_Numeral_Onumber__of'( T, X ), Z, X ), 'c_times'(
% 1.25/1.67 'c_Numeral_Onumber__of'( T, X ), Y, X ), X ) ] )
% 1.25/1.67 , clause( 4819, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'(
% 1.25/1.67 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'(
% 1.25/1.67 'c_times'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_times'( T,
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_lessequals'( Z, T, X ) ]
% 1.25/1.67 )
% 1.25/1.67 , clause( 4820, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'(
% 1.25/1.67 'c_times'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_times'( T,
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_lessequals'( T, Z, X ) ]
% 1.25/1.67 )
% 1.25/1.67 , clause( 4821, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 'c_less'( 'c_0',
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'( 'c_Numeral_Onumber__of'(
% 1.25/1.67 Y, X ), 'c_0', X ), 'c_lessequals'( 'c_times'( Z, 'c_Numeral_Onumber__of'(
% 1.25/1.67 Y, X ), X ), 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ] )
% 1.25/1.67 , clause( 4822, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'(
% 1.25/1.67 Y, Z, X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ),
% 1.25/1.67 'c_lessequals'( 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ),
% 1.25/1.67 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ] )
% 1.25/1.67 , clause( 4823, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'(
% 1.25/1.67 Y, Z, X ) ), 'c_less'( 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ),
% 1.25/1.67 'c_lessequals'( 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X ),
% 1.25/1.67 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ] )
% 1.25/1.67 , clause( 4824, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'(
% 1.25/1.67 Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ), 'c_lessequals'( 'c_times'( Z
% 1.25/1.67 , 'c_Numeral_Onumber__of'( T, X ), X ), 'c_times'( Y,
% 1.25/1.67 'c_Numeral_Onumber__of'( T, X ), X ), X ) ] )
% 1.25/1.67 , clause( 4825, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'(
% 1.25/1.67 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ), ~( 'c_lessequals'( 'c_0'
% 1.25/1.67 , 'c_Numeral_Onumber__of'( Y, X ), X ) ), 'c_less'( Z, T, X ) ] )
% 1.25/1.67 , clause( 4826, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'(
% 1.25/1.67 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ), ~( 'c_lessequals'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), 'c_less'( T, Z, X ) ] )
% 1.25/1.67 , clause( 4827, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 'c_less'(
% 1.25/1.67 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ), 'c_lessequals'( 'c_0',
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_lessequals'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ] )
% 1.25/1.67 , clause( 4828, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.25/1.67 , X ) ), 'c_less'( 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Z, X ),
% 1.25/1.67 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Y, X ), X ), 'c_lessequals'(
% 1.25/1.67 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ) ] )
% 1.25/1.67 , clause( 4829, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.25/1.67 , X ) ), 'c_less'( 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Y, X ),
% 1.25/1.67 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Z, X ), X ), 'c_lessequals'(
% 1.25/1.67 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ] )
% 1.25/1.67 , clause( 4830, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.25/1.67 , X ) ), ~( 'c_less'( Z, Y, X ) ), 'c_less'( 'c_times'(
% 1.25/1.67 'c_Numeral_Onumber__of'( T, X ), Z, X ), 'c_times'(
% 1.25/1.67 'c_Numeral_Onumber__of'( T, X ), Y, X ), X ) ] )
% 1.25/1.67 , clause( 4831, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'(
% 1.25/1.67 'c_times'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_times'( T,
% 1.25/1.67 'c_Numeral_Onumber__of'( Z, X ), X ), X ) ), ~( 'c_lessequals'( 'c_0',
% 1.25/1.67 'c_Numeral_Onumber__of'( Z, X ), X ) ), 'c_less'( Y, T, X ) ] )
% 1.25/1.67 , clause( 4832, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'(
% 1.25/1.67 'c_times'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_times'( T,
% 1.25/1.67 'c_Numeral_Onumber__of'( Z, X ), X ), X ) ), ~( 'c_lessequals'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ), 'c_less'( T, Y, X ) ] )
% 1.25/1.67 , clause( 4833, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 'c_less'(
% 1.25/1.67 'c_times'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_times'( T,
% 1.25/1.67 'c_Numeral_Onumber__of'( Z, X ), X ), X ), 'c_lessequals'( 'c_0',
% 1.25/1.67 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_lessequals'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ] )
% 1.25/1.67 , clause( 4834, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.25/1.67 , X ) ), 'c_less'( 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ),
% 1.25/1.67 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X ), X ), 'c_lessequals'(
% 1.25/1.67 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ) ] )
% 1.25/1.67 , clause( 4835, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.25/1.67 , X ) ), 'c_less'( 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X ),
% 1.25/1.67 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ), 'c_lessequals'(
% 1.25/1.67 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ] )
% 1.25/1.67 , clause( 4836, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.25/1.67 , X ) ), ~( 'c_less'( Z, Y, X ) ), 'c_less'( 'c_times'( Z,
% 1.25/1.67 'c_Numeral_Onumber__of'( T, X ), X ), 'c_times'( Y,
% 1.25/1.67 'c_Numeral_Onumber__of'( T, X ), X ), X ) ] )
% 1.25/1.67 , clause( 4837, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oring'( X ) ), =( 'c_times'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), 'c_minus'( Z, T, X ), X ), 'c_minus'(
% 1.25/1.67 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ) ] )
% 1.25/1.67 , clause( 4838, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Osemiring'( X ) ), =( 'c_times'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), 'c_plus'( Z, T, X ), X ), 'c_plus'(
% 1.25/1.67 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ) ] )
% 1.25/1.67 , clause( 4839, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.25/1.67 , 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ),
% 1.25/1.67 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ),
% 1.25/1.67 'c_lessequals'( 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ] )
% 1.25/1.67 , clause( 4840, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.25/1.67 , 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ),
% 1.25/1.67 'c_lessequals'( Z, 'c_0', X ), 'c_lessequals'( 'c_0',
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), X ) ] )
% 1.25/1.67 , clause( 4841, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.25/1.67 , 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ),
% 1.25/1.67 'c_lessequals'( 'c_0', Z, X ), 'c_lessequals'( 'c_Numeral_Onumber__of'( Y
% 1.25/1.67 , X ), 'c_0', X ) ] )
% 1.25/1.67 , clause( 4842, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.25/1.67 , 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ),
% 1.25/1.67 'c_lessequals'( Z, 'c_0', X ), 'c_lessequals'( 'c_0', Z, X ) ] )
% 1.25/1.67 , clause( 4843, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.25/1.67 , Y, X ) ), ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X
% 1.25/1.67 ) ), 'c_lessequals'( 'c_0', 'c_divide'( 'c_Numeral_Onumber__of'( Z, X )
% 1.25/1.67 , Y, X ), X ) ] )
% 1.25/1.67 , clause( 4844, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.25/1.67 'c_0', X ) ), ~( 'c_lessequals'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0',
% 1.25/1.67 X ) ), 'c_lessequals'( 'c_0', 'c_divide'( 'c_Numeral_Onumber__of'( Z, X )
% 1.25/1.67 , Y, X ), X ) ] )
% 1.25/1.67 , clause( 4845, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.25/1.67 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 'c_less'(
% 1.25/1.67 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ] )
% 1.25/1.67 , clause( 4846, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.25/1.67 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 'c_less'( Z,
% 1.25/1.67 'c_0', X ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ] )
% 1.25/1.67 , clause( 4847, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.25/1.67 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 'c_less'(
% 1.25/1.67 'c_0', Z, X ), 'c_less'( 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ] )
% 1.25/1.67 , clause( 4848, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.25/1.67 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 'c_less'( Z,
% 1.25/1.67 'c_0', X ), 'c_less'( 'c_0', Z, X ) ] )
% 1.25/1.67 , clause( 4849, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.25/1.67 ) ), ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ) ),
% 1.25/1.67 'c_less'( 'c_0', 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X ), X )
% 1.25/1.67 ] )
% 1.25/1.67 , clause( 4850, [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.25/1.67 ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ),
% 1.25/1.67 'c_less'( 'c_0', 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X ), X )
% 1.25/1.67 ] )
% 1.25/1.67 , clause( 4851, [ =( 'c_1', 'c_Suc'( 'c_0' ) ) ] )
% 1.25/1.67 , clause( 4852, [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ] )
% 1.25/1.67 , clause( 4853, [ =( 'c_minus'( 'c_minus'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 1.25/1.67 'c_Suc'( Z ), 'tc_nat' ), 'c_minus'( 'c_minus'( X, Y, 'tc_nat' ), Z,
% 1.25/1.67 'tc_nat' ) ) ] )
% 1.25/1.67 , clause( 4854, [ ~( 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' )
% 1.25/1.67 ), 'c_lessequals'( X, Y, 'tc_nat' ) ] )
% 1.25/1.67 , clause( 4855, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'(
% 1.25/1.67 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ] )
% 1.25/1.67 , clause( 4856, [ ~( 'c_less'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ),
% 1.25/1.67 'c_less'( X, Y, 'tc_nat' ) ] )
% 1.25/1.67 , clause( 4857, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 'c_Suc'( X ),
% 1.25/1.67 'c_Suc'( Y ), 'tc_nat' ) ] )
% 1.25/1.67 , clause( 4858, [ ~( =( 'c_Suc'( X ), 'c_0' ) ) ] )
% 1.25/1.67 , clause( 4859, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_Suc'(
% 1.25/1.67 'c_minus'( X, 'c_Suc'( 'c_0' ), 'tc_nat' ) ), X ) ] )
% 1.25/1.67 , clause( 4860, [ ~( =( 'c_0', 'c_Suc'( X ) ) ) ] )
% 1.25/1.67 , clause( 4861, [ =( 'c_plus'( X, 'c_0', 'tc_nat' ), X ) ] )
% 1.25/1.67 , clause( 4862, [ =( 'c_plus'( X, 'c_Suc'( Y ), 'tc_nat' ), 'c_Suc'(
% 1.25/1.67 'c_plus'( X, Y, 'tc_nat' ) ) ) ] )
% 1.25/1.67 , clause( 4863, [ ~( 'c_less'( 'c_0', 'c_plus'( X, Y, 'tc_nat' ), 'tc_nat'
% 1.25/1.67 ) ), 'c_less'( 'c_0', Y, 'tc_nat' ), 'c_less'( 'c_0', X, 'tc_nat' ) ] )
% 1.25/1.67 , clause( 4864, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0',
% 1.25/1.67 'c_plus'( X, Y, 'tc_nat' ), 'tc_nat' ) ] )
% 1.25/1.67 , clause( 4865, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0',
% 1.25/1.67 'c_plus'( Y, X, 'tc_nat' ), 'tc_nat' ) ] )
% 1.25/1.67 , clause( 4866, [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_0' ) ), =( X, 'c_0'
% 1.25/1.67 ) ] )
% 1.25/1.67 , clause( 4867, [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_0' ) ), =( Y, 'c_0'
% 1.25/1.67 ) ] )
% 1.25/1.67 , clause( 4868, [ =( 'c_plus'( 'c_0', 'c_0', 'tc_nat' ), 'c_0' ) ] )
% 1.25/1.67 , clause( 4869, [ =( 'c_minus'( 'c_0', X, 'tc_nat' ), 'c_0' ) ] )
% 1.25/1.67 , clause( 4870, [ =( 'c_minus'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ),
% 1.25/1.67 'c_minus'( X, Y, 'tc_nat' ) ) ] )
% 1.25/1.67 , clause( 4871, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_minus'(
% 1.25/1.67 X, 'c_Suc'( Y ), 'tc_nat' ), X, 'tc_nat' ) ] )
% 1.25/1.67 , clause( 4872, [ =( 'c_minus'( 'c_minus'( X, Y, 'tc_nat' ), Z, 'tc_nat' )
% 1.25/1.67 , 'c_minus'( X, 'c_plus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ] )
% 1.25/1.67 , clause( 4873, [ ~( =( 'c_minus'( X, Y, 'tc_nat' ), 'c_0' ) ),
% 1.25/1.67 'c_lessequals'( X, Y, 'tc_nat' ) ] )
% 1.25/1.67 , clause( 4874, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_minus'( X, Y
% 1.25/1.67 , 'tc_nat' ), 'c_0' ) ] )
% 1.25/1.67 , clause( 4875, [ 'c_lessequals'( 'c_minus'( X, Y, 'tc_nat' ), X, 'tc_nat'
% 1.25/1.67 ) ] )
% 1.25/1.67 , clause( 4876, [ =( 'c_minus'( X, X, 'tc_nat' ), 'c_0' ) ] )
% 1.25/1.67 , clause( 4877, [ ~( 'c_lessequals'( X, 'c_0', 'tc_nat' ) ), =( X, 'c_0' )
% 1.25/1.67 ] )
% 1.25/1.67 , clause( 4878, [ 'c_lessequals'( 'c_0', 'c_0', 'tc_nat' ) ] )
% 1.25/1.67 , clause( 4879, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_plus'(
% 1.25/1.67 'c_minus'( Y, X, 'tc_nat' ), X, 'tc_nat' ), Y ) ] )
% 1.25/1.67 , clause( 4880, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_plus'( X,
% 1.25/1.67 'c_minus'( Y, X, 'tc_nat' ), 'tc_nat' ), Y ) ] )
% 1.25/1.67 , clause( 4881, [ ~( 'c_less'( X, 'c_Suc'( 'c_0' ), 'tc_nat' ) ), =( X,
% 1.25/1.67 'c_0' ) ] )
% 1.25/1.67 , clause( 4882, [ 'c_less'( 'c_0', 'c_Suc'( 'c_0' ), 'tc_nat' ) ] )
% 1.25/1.67 , clause( 4883, [ ~( 'c_less'( X, 'c_1', 'tc_nat' ) ), =( X, 'c_0' ) ] )
% 1.25/1.67 , clause( 4884, [ 'c_less'( 'c_0', 'c_1', 'tc_nat' ) ] )
% 1.25/1.67 , clause( 4885, [ =( 'c_Orderings_Omax'( 'c_0', X, 'tc_nat' ), X ) ] )
% 1.25/1.67 , clause( 4886, [ =( 'c_Orderings_Omax'( X, 'c_0', 'tc_nat' ), X ) ] )
% 1.25/1.67 , clause( 4887, [ =( 'c_Orderings_Omax'( 'c_Suc'( X ), 'c_Suc'( Y ),
% 1.25/1.67 'tc_nat' ), 'c_Suc'( 'c_Orderings_Omax'( X, Y, 'tc_nat' ) ) ) ] )
% 1.25/1.67 , clause( 4888, [ =( 'c_Orderings_Omin'( 'c_0', X, 'tc_nat' ), 'c_0' ) ] )
% 1.25/1.67 , clause( 4889, [ =( 'c_Orderings_Omin'( X, 'c_0', 'tc_nat' ), 'c_0' ) ] )
% 1.25/1.67 , clause( 4890, [ =( 'c_Orderings_Omin'( 'c_Suc'( X ), 'c_Suc'( Y ),
% 1.25/1.67 'tc_nat' ), 'c_Suc'( 'c_Orderings_Omin'( X, Y, 'tc_nat' ) ) ) ] )
% 1.25/1.67 , clause( 4891, [ =( 'c_times'( X, 'c_0', 'tc_nat' ), 'c_0' ) ] )
% 1.25/1.67 , clause( 4892, [ =( 'c_times'( X, 'c_Suc'( Y ), 'tc_nat' ), 'c_plus'( X,
% 1.25/1.67 'c_times'( X, Y, 'tc_nat' ), 'tc_nat' ) ) ] )
% 1.25/1.67 , clause( 4893, [ ~( =( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( X, Z,
% 1.25/1.67 'tc_nat' ) ) ), =( Y, Z ), =( X, 'c_0' ) ] )
% 1.25/1.67 , clause( 4894, [ =( 'c_times'( 'c_0', X, 'tc_nat' ), 'c_times'( 'c_0', Y,
% 1.25/1.67 'tc_nat' ) ) ] )
% 1.25/1.67 , clause( 4895, [ ~( =( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( Z, Y,
% 1.25/1.67 'tc_nat' ) ) ), =( X, Z ), =( Y, 'c_0' ) ] )
% 1.25/1.67 , clause( 4896, [ =( 'c_times'( X, 'c_0', 'tc_nat' ), 'c_times'( Y, 'c_0',
% 1.25/1.67 'tc_nat' ) ) ] )
% 1.25/1.67 , clause( 4897, [ ~( =( 'c_times'( X, Y, 'tc_nat' ), 'c_Suc'( 'c_0' ) ) ),
% 1.25/1.67 =( X, 'c_1' ) ] )
% 1.25/1.67 , clause( 4898, [ ~( =( 'c_times'( X, Y, 'tc_nat' ), 'c_Suc'( 'c_0' ) ) ),
% 1.25/1.67 =( Y, 'c_1' ) ] )
% 1.25/1.67 , clause( 4899, [ =( 'c_times'( 'c_1', 'c_1', 'tc_nat' ), 'c_Suc'( 'c_0' )
% 1.25/1.67 ) ] )
% 1.25/1.67 , clause( 4900, [ ~( =( 'c_times'( X, Y, 'tc_nat' ), 'c_0' ) ), =( Y, 'c_0'
% 1.25/1.67 ), =( X, 'c_0' ) ] )
% 1.25/1.67 , clause( 4901, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), ~( 'c_lessequals'(
% 1.25/1.67 'c_times'( X, Y, 'tc_nat' ), 'c_times'( X, Z, 'tc_nat' ), 'tc_nat' ) ),
% 1.25/1.67 'c_lessequals'( Y, Z, 'tc_nat' ) ] )
% 1.25/1.67 , clause( 4902, [ 'c_less'( 'c_0', X, 'tc_nat' ), 'c_lessequals'( 'c_times'(
% 1.25/1.67 X, Y, 'tc_nat' ), 'c_times'( X, Z, 'tc_nat' ), 'tc_nat' ) ] )
% 1.25/1.67 , clause( 4903, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'(
% 1.25/1.67 'c_times'( Z, X, 'tc_nat' ), 'c_times'( Z, Y, 'tc_nat' ), 'tc_nat' ) ] )
% 1.25/1.67 , clause( 4904, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), ~( 'c_lessequals'(
% 1.25/1.67 'c_times'( Y, X, 'tc_nat' ), 'c_times'( Z, X, 'tc_nat' ), 'tc_nat' ) ),
% 1.25/1.67 'c_lessequals'( Y, Z, 'tc_nat' ) ] )
% 1.25/1.67 , clause( 4905, [ 'c_less'( 'c_0', X, 'tc_nat' ), 'c_lessequals'( 'c_times'(
% 1.25/1.67 Y, X, 'tc_nat' ), 'c_times'( Z, X, 'tc_nat' ), 'tc_nat' ) ] )
% 1.25/1.67 , clause( 4906, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'(
% 1.25/1.67 'c_times'( X, Z, 'tc_nat' ), 'c_times'( Y, Z, 'tc_nat' ), 'tc_nat' ) ] )
% 1.25/1.67 , clause( 4907, [ ~( 'c_less'( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( X, Z
% 1.25/1.67 , 'tc_nat' ), 'tc_nat' ) ), 'c_less'( 'c_0', X, 'tc_nat' ) ] )
% 1.25/1.67 , clause( 4908, [ ~( 'c_less'( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( X, Z
% 1.25/1.67 , 'tc_nat' ), 'tc_nat' ) ), 'c_less'( Y, Z, 'tc_nat' ) ] )
% 1.25/1.67 , clause( 4909, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), ~( 'c_less'( 'c_0', Z,
% 1.25/1.67 'tc_nat' ) ), 'c_less'( 'c_times'( Z, X, 'tc_nat' ), 'c_times'( Z, Y,
% 1.25/1.67 'tc_nat' ), 'tc_nat' ) ] )
% 1.25/1.67 , clause( 4910, [ ~( 'c_less'( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( Z, Y
% 1.25/1.67 , 'tc_nat' ), 'tc_nat' ) ), 'c_less'( 'c_0', Y, 'tc_nat' ) ] )
% 1.25/1.67 , clause( 4911, [ ~( 'c_less'( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( Z, Y
% 1.25/1.67 , 'tc_nat' ), 'tc_nat' ) ), 'c_less'( X, Z, 'tc_nat' ) ] )
% 1.25/1.67 , clause( 4912, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), ~( 'c_less'( 'c_0', Z,
% 1.25/1.67 'tc_nat' ) ), 'c_less'( 'c_times'( X, Z, 'tc_nat' ), 'c_times'( Y, Z,
% 1.25/1.67 'tc_nat' ), 'tc_nat' ) ] )
% 1.25/1.67 , clause( 4913, [ ~( 'c_less'( 'c_0', 'c_times'( X, Y, 'tc_nat' ), 'tc_nat'
% 1.25/1.67 ) ), 'c_less'( 'c_0', X, 'tc_nat' ) ] )
% 1.25/1.67 , clause( 4914, [ ~( 'c_less'( 'c_0', 'c_times'( X, Y, 'tc_nat' ), 'tc_nat'
% 1.25/1.67 ) ), 'c_less'( 'c_0', Y, 'tc_nat' ) ] )
% 1.25/1.67 , clause( 4915, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), ~( 'c_less'( 'c_0',
% 1.25/1.67 Y, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_times'( Y, X, 'tc_nat' ), 'tc_nat' )
% 1.25/1.67 ] )
% 1.25/1.67 , clause( 4916, [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_plus'( X, Z,
% 1.25/1.67 'tc_nat' ) ) ), =( Y, Z ) ] )
% 1.25/1.67 , clause( 4917, [ ~( 'c_lessequals'( 'c_plus'( X, Y, 'tc_nat' ), 'c_plus'(
% 1.25/1.67 X, Z, 'tc_nat' ), 'tc_nat' ) ), 'c_lessequals'( Y, Z, 'tc_nat' ) ] )
% 1.25/1.67 , clause( 4918, [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'(
% 1.25/1.67 'c_plus'( Z, X, 'tc_nat' ), 'c_plus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ] )
% 1.25/1.67 , clause( 4919, [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), 'c_plus'( X, Z,
% 1.25/1.67 'tc_nat' ), 'tc_nat' ) ), 'c_less'( Y, Z, 'tc_nat' ) ] )
% 1.25/1.67 , clause( 4920, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 'c_plus'( Z, X
% 1.25/1.67 , 'tc_nat' ), 'c_plus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ] )
% 1.25/1.67 , clause( 4921, [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_plus'( Z, Y,
% 1.25/1.67 'tc_nat' ) ) ), =( X, Z ) ] )
% 1.25/1.67 , clause( 4922, [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), X, 'tc_nat' ) )
% 1.25/1.67 ] )
% 1.25/1.67 , clause( 4923, [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), Y, 'tc_nat' ) )
% 1.25/1.67 ] )
% 1.25/1.67 , clause( 4924, [ 'c_less'( 'c_0', X, 'tc_nat' ), =( X, 'c_0' ) ] )
% 1.25/1.67 , clause( 4925, [ ~( 'c_less'( 'c_0', 'c_0', 'tc_nat' ) ) ] )
% 1.25/1.67 , clause( 4926, [ ~( 'c_less'( X, 'c_0', 'tc_nat' ) ) ] )
% 1.25/1.67 , clause( 4927, [ ~( =( 'c_Suc'( 'c_0' ), 'c_times'( X, Y, 'tc_nat' ) ) ),
% 1.25/1.67 =( X, 'c_1' ) ] )
% 1.25/1.67 , clause( 4928, [ ~( =( 'c_Suc'( 'c_0' ), 'c_times'( X, Y, 'tc_nat' ) ) ),
% 1.25/1.67 =( Y, 'c_1' ) ] )
% 1.25/1.67 , clause( 4929, [ =( 'c_Suc'( 'c_0' ), 'c_times'( 'c_1', 'c_1', 'tc_nat' )
% 1.25/1.67 ) ] )
% 1.25/1.67 , clause( 4930, [ ~( 'c_lessequals'( 'c_Suc'( 'c_0' ), 'c_times'( X, Y,
% 1.25/1.67 'tc_nat' ), 'tc_nat' ) ), 'c_lessequals'( 'c_1', X, 'tc_nat' ) ] )
% 1.25/1.67 , clause( 4931, [ ~( 'c_lessequals'( 'c_Suc'( 'c_0' ), 'c_times'( X, Y,
% 1.25/1.67 'tc_nat' ), 'tc_nat' ) ), 'c_lessequals'( 'c_1', Y, 'tc_nat' ) ] )
% 1.25/1.67 , clause( 4932, [ ~( 'c_lessequals'( 'c_1', X, 'tc_nat' ) ), ~(
% 1.25/1.67 'c_lessequals'( 'c_1', Y, 'tc_nat' ) ), 'c_lessequals'( 'c_Suc'( 'c_0' )
% 1.25/1.67 , 'c_times'( Y, X, 'tc_nat' ), 'tc_nat' ) ] )
% 1.25/1.67 , clause( 4933, [ =( 'c_times'( 'c_0', X, 'tc_nat' ), 'c_0' ) ] )
% 1.25/1.67 , clause( 4934, [ =( 'c_times'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_plus'( Y,
% 1.25/1.67 'c_times'( X, Y, 'tc_nat' ), 'tc_nat' ) ) ] )
% 1.25/1.67 , clause( 4935, [ =( 'c_plus'( 'c_0', X, 'tc_nat' ), X ) ] )
% 1.25/1.67 , clause( 4936, [ =( 'c_plus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'(
% 1.25/1.67 'c_plus'( X, Y, 'tc_nat' ) ) ) ] )
% 1.25/1.67 , clause( 4937, [ =( 'c_minus'( X, 'c_0', 'tc_nat' ), X ) ] )
% 1.25/1.67 , clause( 4938, [ ~( 'c_less'( 'c_0', 'c_minus'( X, Y, 'tc_nat' ), 'tc_nat'
% 1.25/1.67 ) ), 'c_less'( Y, X, 'tc_nat' ) ] )
% 1.25/1.67 , clause( 4939, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 'c_0',
% 1.25/1.67 'c_minus'( Y, X, 'tc_nat' ), 'tc_nat' ) ] )
% 1.25/1.67 , clause( 4940, [ =( 'c_Numeral_OBit'( 'c_Numeral_OMin',
% 1.25/1.67 'c_Numeral_Obit_OB1' ), 'c_Numeral_OMin' ) ] )
% 1.25/1.67 , clause( 4941, [ =( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.25/1.67 'c_Numeral_Obit_OB0' ), 'c_Numeral_OPls' ) ] )
% 1.25/1.67 , clause( 4942, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), 'c_minus'( Z, 'c_Numeral_Onumber__of'( T
% 1.25/1.67 , X ), X ), X ), 'c_plus'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'(
% 1.25/1.67 Y, 'c_Numeral_Obin__minus'( T ) ), X ), Z, X ) ) ] )
% 1.25/1.67 , clause( 4943, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), 'c_plus'( 'c_Numeral_Onumber__of'( Z, X
% 1.25/1.67 ), T, X ), X ), 'c_plus'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'(
% 1.25/1.67 Y, Z ), X ), T, X ) ) ] )
% 1.25/1.67 , clause( 4944, [ =( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( X,
% 1.25/1.67 'c_Numeral_Obit_OB0' ), 'c_Numeral_OBit'( Y, Z ) ), 'c_Numeral_OBit'(
% 1.25/1.67 'c_Numeral_Obin__add'( X, Y ), Z ) ) ] )
% 1.25/1.67 , clause( 4945, [ =( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( X,
% 1.25/1.67 'c_Numeral_Obit_OB1' ), 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB0' ) ),
% 1.25/1.67 'c_Numeral_OBit'( 'c_Numeral_Obin__add'( X, Y ), 'c_Numeral_Obit_OB1' ) )
% 1.25/1.67 ] )
% 1.25/1.67 , clause( 4946, [ =( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( X,
% 1.25/1.67 'c_Numeral_Obit_OB1' ), 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB1' ) ),
% 1.25/1.67 'c_Numeral_OBit'( 'c_Numeral_Obin__add'( X, 'c_Numeral_Obin__succ'( Y ) )
% 1.25/1.67 , 'c_Numeral_Obit_OB0' ) ) ] )
% 1.25/1.67 , clause( 4947, [ =( 'c_Numeral_Obin__add'( 'c_Numeral_OMin', X ),
% 1.25/1.67 'c_Numeral_Obin__pred'( X ) ) ] )
% 1.25/1.67 , clause( 4948, [ =( 'c_Numeral_Obin__add'( X, 'c_Numeral_OMin' ),
% 1.25/1.67 'c_Numeral_Obin__pred'( X ) ) ] )
% 1.25/1.67 , clause( 4949, [ =( 'c_Numeral_Obin__add'( 'c_Numeral_OPls', X ), X ) ] )
% 1.25/1.67 , clause( 4950, [ =( 'c_Numeral_Obin__add'( X, 'c_Numeral_OPls' ), X ) ] )
% 1.25/1.67 , clause( 4951, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ),
% 1.25/1.67 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, Z ), X ) ) ] )
% 1.25/1.67 , clause( 4952, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_uminus'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'(
% 1.25/1.67 'c_Numeral_Obin__minus'( Y ), X ) ) ] )
% 1.25/1.67 , clause( 4953, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_uminus'(
% 1.25/1.67 'c_1', X ), 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ) ) ] )
% 1.25/1.67 , clause( 4954, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_times'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ),
% 1.25/1.67 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__mult'( Y, Z ), X ) ) ] )
% 1.25/1.67 , clause( 4955, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_minus'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ),
% 1.25/1.67 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.25/1.67 'c_Numeral_Obin__minus'( Z ) ), X ) ) ] )
% 1.25/1.67 , clause( 4956, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), =( 'c_HOL_Oabs'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_uminus'( 'c_Numeral_Onumber__of'(
% 1.25/1.67 Y, X ), X ) ) ] )
% 1.25/1.67 , clause( 4957, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_less'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ), =( 'c_HOL_Oabs'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'( Y, X ) ) ]
% 1.25/1.67 )
% 1.25/1.67 , clause( 4958, [ =( 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( X,
% 1.25/1.67 'c_Numeral_Obit_OB0' ) ), 'c_Numeral_OBit'( 'c_Numeral_Obin__minus'( X )
% 1.25/1.67 , 'c_Numeral_Obit_OB0' ) ) ] )
% 1.25/1.67 , clause( 4959, [ =( 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( X,
% 1.25/1.67 'c_Numeral_Obit_OB1' ) ), 'c_Numeral_OBit'( 'c_Numeral_Obin__pred'(
% 1.25/1.67 'c_Numeral_Obin__minus'( X ) ), 'c_Numeral_Obit_OB1' ) ) ] )
% 1.25/1.67 , clause( 4960, [ =( 'c_Numeral_Obin__minus'( 'c_Numeral_OMin' ),
% 1.25/1.67 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ) ) ] )
% 1.25/1.67 , clause( 4961, [ =( 'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ),
% 1.25/1.67 'c_Numeral_OPls' ) ] )
% 1.25/1.67 , clause( 4962, [ =( 'c_Numeral_Obin__mult'( 'c_Numeral_OBit'( X,
% 1.25/1.67 'c_Numeral_Obit_OB0' ), Y ), 'c_Numeral_OBit'( 'c_Numeral_Obin__mult'( X
% 1.25/1.67 , Y ), 'c_Numeral_Obit_OB0' ) ) ] )
% 1.25/1.67 , clause( 4963, [ =( 'c_Numeral_Obin__mult'( 'c_Numeral_OBit'( X,
% 1.25/1.67 'c_Numeral_Obit_OB1' ), Y ), 'c_Numeral_Obin__add'( 'c_Numeral_OBit'(
% 1.25/1.67 'c_Numeral_Obin__mult'( X, Y ), 'c_Numeral_Obit_OB0' ), Y ) ) ] )
% 1.25/1.67 , clause( 4964, [ =( 'c_Numeral_Obin__mult'( 'c_Numeral_OMin', X ),
% 1.25/1.67 'c_Numeral_Obin__minus'( X ) ) ] )
% 1.25/1.67 , clause( 4965, [ =( 'c_Numeral_Obin__mult'( 'c_Numeral_OPls', X ),
% 1.25/1.67 'c_Numeral_OPls' ) ] )
% 1.25/1.67 , clause( 4966, [ =( 'c_Numeral_Obin__pred'( 'c_Numeral_OBit'( X,
% 1.25/1.67 'c_Numeral_Obit_OB0' ) ), 'c_Numeral_OBit'( 'c_Numeral_Obin__pred'( X ),
% 1.25/1.67 'c_Numeral_Obit_OB1' ) ) ] )
% 1.25/1.67 , clause( 4967, [ =( 'c_Numeral_Obin__pred'( 'c_Numeral_OBit'( X,
% 1.25/1.67 'c_Numeral_Obit_OB1' ) ), 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' ) ) ]
% 1.25/1.67 )
% 1.25/1.67 , clause( 4968, [ =( 'c_Numeral_Obin__pred'( 'c_Numeral_OMin' ),
% 1.25/1.67 'c_Numeral_OBit'( 'c_Numeral_OMin', 'c_Numeral_Obit_OB0' ) ) ] )
% 1.25/1.67 , clause( 4969, [ =( 'c_Numeral_Obin__pred'( 'c_Numeral_OPls' ),
% 1.25/1.67 'c_Numeral_OMin' ) ] )
% 1.25/1.67 , clause( 4970, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X
% 1.25/1.67 ) ), ~( 'c_IntDef_Oiszero'( 'c_1', X ) ) ] )
% 1.25/1.67 , clause( 4971, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'(
% 1.25/1.67 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), X ) ] )
% 1.25/1.67 , clause( 4972, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.25/1.67 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, Z ), X ), X ) ),
% 1.25/1.67 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, X ), X ) ] )
% 1.25/1.67 , clause( 4973, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), X ) ), 'c_IntDef_Oneg'(
% 1.25/1.67 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, Z ), X ), X ) ] )
% 1.25/1.67 , clause( 4974, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.25/1.67 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.25/1.67 'c_Numeral_Obin__minus'( Z ) ), X ), X ) ), ~( 'c_lessequals'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Z, X ), 'c_Numeral_Onumber__of'( Y, X ), X ) ) ]
% 1.25/1.67 )
% 1.25/1.67 , clause( 4975, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'(
% 1.25/1.67 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.25/1.67 'c_Numeral_Obin__minus'( Z ) ), X ), X ), 'c_lessequals'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Z, X ), 'c_Numeral_Onumber__of'( Y, X ), X ) ]
% 1.25/1.67 )
% 1.25/1.67 , clause( 4976, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( =(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ) ) ),
% 1.25/1.67 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.25/1.67 'c_Numeral_Obin__minus'( Z ) ), X ), X ) ] )
% 1.25/1.67 , clause( 4977, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.67 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.25/1.67 'c_Numeral_Obin__minus'( Z ) ), X ), X ) ), =( 'c_Numeral_Onumber__of'( Y
% 1.25/1.67 , X ), 'c_Numeral_Onumber__of'( Z, X ) ) ] )
% 1.25/1.67 , clause( 4978, [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.25/1.67 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( 'c_Numeral_OPls', X ), X ) ]
% 1.25/1.67 )
% 1.25/1.67 , clause( 4979, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.67 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), X ) )
% 1.25/1.67 ] )
% 1.25/1.67 , clause( 4980, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oiszero'(
% 1.25/1.67 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB0' ), X )
% 1.25/1.67 , X ) ), 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( Y, X ), X ) ] )
% 1.25/1.67 , clause( 4981, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oiszero'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), X ) ), 'c_IntDef_Oiszero'(
% 1.25/1.67 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB0' ), X )
% 1.25/1.67 , X ) ] )
% 1.25/1.67 , clause( 4982, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oiszero'(
% 1.25/1.67 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB1' ), X )
% 1.25/1.67 , X ) ) ] )
% 1.25/1.67 , clause( 4983, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ) ),
% 1.25/1.67 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.25/1.67 'c_Numeral_Obin__minus'( Z ) ), X ), X ) ] )
% 1.25/1.67 , clause( 4984, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.25/1.67 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.25/1.67 'c_Numeral_Obin__minus'( Z ) ), X ), X ) ), 'c_less'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ) ]
% 1.25/1.67 )
% 1.25/1.67 , clause( 4985, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.25/1.67 'c_Numeral_Onumber__of'( 'c_Numeral_OPls', X ), X ) ) ] )
% 1.25/1.67 , clause( 4986, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.25/1.67 'c_IntDef_Oneg'( 'c_0', X ) ) ] )
% 1.25/1.67 , clause( 4987, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.25/1.67 'c_IntDef_Oneg'( 'c_1', X ) ) ] )
% 1.25/1.67 , clause( 4988, [ =( 'c_Numeral_Obin__succ'( 'c_Numeral_OBit'( X,
% 1.25/1.67 'c_Numeral_Obit_OB0' ) ), 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB1' ) ) ]
% 1.25/1.67 )
% 1.25/1.67 , clause( 4989, [ =( 'c_Numeral_Obin__succ'( 'c_Numeral_OBit'( X,
% 1.25/1.67 'c_Numeral_Obit_OB1' ) ), 'c_Numeral_OBit'( 'c_Numeral_Obin__succ'( X ),
% 1.25/1.67 'c_Numeral_Obit_OB0' ) ) ] )
% 1.25/1.67 , clause( 4990, [ =( 'c_Numeral_Obin__succ'( 'c_Numeral_OMin' ),
% 1.25/1.67 'c_Numeral_OPls' ) ] )
% 1.25/1.67 , clause( 4991, [ =( 'c_Numeral_Obin__succ'( 'c_Numeral_OPls' ),
% 1.25/1.67 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ) ) ] )
% 1.25/1.67 , clause( 4992, [ =( 'c_Numeral_Obit_Obit__case'( X, Y,
% 1.25/1.67 'c_Numeral_Obit_OB0', Z ), X ) ] )
% 1.25/1.67 , clause( 4993, [ =( 'c_Numeral_Obit_Obit__case'( X, Y,
% 1.25/1.67 'c_Numeral_Obit_OB1', Z ), Y ) ] )
% 1.25/1.67 , clause( 4994, [ ~( =( 'c_Numeral_Obit_OB0', 'c_Numeral_Obit_OB1' ) ) ] )
% 1.25/1.67 , clause( 4995, [ ~( =( 'c_Numeral_Obit_OB1', 'c_Numeral_Obit_OB0' ) ) ] )
% 1.25/1.67 , clause( 4996, [ =( 'c_Numeral_Obit_Obit__rec'( X, Y, 'c_Numeral_Obit_OB0'
% 1.25/1.67 , Z ), X ) ] )
% 1.25/1.67 , clause( 4997, [ =( 'c_Numeral_Obit_Obit__rec'( X, Y, 'c_Numeral_Obit_OB1'
% 1.25/1.67 , Z ), Y ) ] )
% 1.25/1.67 , clause( 4998, [ =( 'c_Nat_Osize'( 'c_Numeral_Obit_OB0', 'tc_Numeral_Obit'
% 1.25/1.67 ), 'c_0' ) ] )
% 1.25/1.67 , clause( 4999, [ =( 'c_Nat_Osize'( 'c_Numeral_Obit_OB1', 'tc_Numeral_Obit'
% 1.25/1.67 ), 'c_0' ) ] )
% 1.25/1.67 , clause( 5000, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_times'(
% 1.25/1.67 'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ), 'c_times'(
% 1.25/1.67 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__minus'( Y ), X ), Z, X ) ) ] )
% 1.25/1.67 , clause( 5001, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_times'(
% 1.25/1.67 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), Y, X ), 'c_uminus'( Y, X
% 1.25/1.67 ) ) ] )
% 1.25/1.67 , clause( 5002, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_times'( Y
% 1.25/1.67 , 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), X ), 'c_uminus'( Y, X )
% 1.25/1.67 ) ] )
% 1.25/1.67 , clause( 5003, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_times'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, X ), 'c_times'( 'c_Numeral_Onumber__of'( Z, X
% 1.25/1.67 ), T, X ), X ), 'c_times'( 'c_Numeral_Onumber__of'(
% 1.25/1.67 'c_Numeral_Obin__mult'( Y, Z ), X ), T, X ) ) ] )
% 1.25/1.67 , clause( 5004, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =(
% 1.25/1.67 'c_Numeral_Onumber__of'( 'c_Numeral_OPls', X ), 'c_0' ) ] )
% 1.25/1.67 , clause( 5005, [ ~( 'class_Numeral_Onumber__ring'( X ) ), =(
% 1.25/1.67 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.25/1.67 'c_Numeral_Obit_OB1' ), X ), 'c_1' ) ] )
% 1.25/1.67 , clause( 5006, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.25/1.67 'c_plus'( 'c_uminus'( Y, X ), Y, X ), 'c_0' ) ] )
% 1.25/1.67 , clause( 5007, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.25/1.67 , ~( =( 'c_0', 'c_HOL_Oabs'( Y, X ) ) ), =( Y, 'c_0' ) ] )
% 1.25/1.67 , clause( 5008, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.25/1.67 , =( 'c_0', 'c_HOL_Oabs'( 'c_0', X ) ) ] )
% 1.25/1.67 , clause( 5009, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.25/1.67 , =( 'c_HOL_Oabs'( 'c_plus'( 'c_HOL_Oabs'( Y, X ), 'c_HOL_Oabs'( Z, X ),
% 1.25/1.67 X ), X ), 'c_plus'( 'c_HOL_Oabs'( Y, X ), 'c_HOL_Oabs'( Z, X ), X ) ) ]
% 1.25/1.67 )
% 1.25/1.67 , clause( 5010, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.25/1.67 , ~( =( 'c_HOL_Oabs'( Y, X ), 'c_0' ) ), =( Y, 'c_0' ) ] )
% 1.25/1.67 , clause( 5011, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.25/1.67 , =( 'c_HOL_Oabs'( 'c_0', X ), 'c_0' ) ] )
% 1.25/1.67 , clause( 5012, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.25/1.67 , 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ) ] )
% 1.25/1.67 , clause( 5013, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.25/1.67 , =( 'c_HOL_Oabs'( 'c_HOL_Oabs'( Y, X ), X ), 'c_HOL_Oabs'( Y, X ) ) ] )
% 1.25/1.67 , clause( 5014, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.25/1.67 , ~( 'c_lessequals'( 'c_HOL_Oabs'( Y, X ), 'c_0', X ) ), =( Y, 'c_0' ) ]
% 1.25/1.67 )
% 1.25/1.67 , clause( 5015, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.25/1.67 , 'c_lessequals'( 'c_HOL_Oabs'( 'c_0', X ), 'c_0', X ) ] )
% 1.25/1.67 , clause( 5016, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.25/1.67 , =( 'c_HOL_Oabs'( 'c_uminus'( Y, X ), X ), 'c_HOL_Oabs'( Y, X ) ) ] )
% 1.25/1.67 , clause( 5017, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.25/1.67 , ~( 'c_less'( 'c_HOL_Oabs'( Y, X ), 'c_0', X ) ) ] )
% 1.25/1.67 , clause( 5018, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.25/1.67 , ~( 'c_lessequals'( 'c_0', Y, X ) ), =( 'c_HOL_Oabs'( Y, X ), Y ) ] )
% 1.25/1.67 , clause( 5019, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.25/1.67 , ~( 'c_lessequals'( Y, 'c_0', X ) ), =( 'c_HOL_Oabs'( Y, X ), 'c_uminus'(
% 1.25/1.67 Y, X ) ) ] )
% 1.25/1.67 , clause( 5020, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.25/1.67 'c_plus'( Y, 'c_0', X ), Y ) ] )
% 1.25/1.67 , clause( 5021, [ ~(
% 1.25/1.67 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 1.25/1.67 'c_lessequals'( 'c_plus'( Y, Z, X ), 'c_plus'( Y, T, X ), X ) ),
% 1.25/1.67 'c_lessequals'( Z, T, X ) ] )
% 1.25/1.67 , clause( 5022, [ ~(
% 1.25/1.67 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 1.25/1.67 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_plus'( T, Y, X ),
% 1.25/1.67 'c_plus'( T, Z, X ), X ) ] )
% 1.25/1.67 , clause( 5023, [ ~(
% 1.25/1.67 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 1.25/1.67 'c_lessequals'( 'c_plus'( Y, Z, X ), 'c_plus'( T, Z, X ), X ) ),
% 1.25/1.67 'c_lessequals'( Y, T, X ) ] )
% 1.25/1.67 , clause( 5024, [ ~(
% 1.25/1.67 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 1.25/1.67 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_plus'( Y, T, X ),
% 1.25/1.67 'c_plus'( Z, T, X ), X ) ] )
% 1.25/1.67 , clause( 5025, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ),
% 1.25/1.67 ~( =( 'c_plus'( Y, Z, X ), 'c_plus'( Y, T, X ) ) ), =( Z, T ) ] )
% 1.25/1.67 , clause( 5026, [ ~(
% 1.25/1.67 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 1.25/1.67 'c_less'( 'c_plus'( Y, Z, X ), 'c_plus'( Y, T, X ), X ) ), 'c_less'( Z, T
% 1.25/1.67 , X ) ] )
% 1.25/1.67 , clause( 5027, [ ~(
% 1.25/1.67 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 1.25/1.67 'c_less'( Y, Z, X ) ), 'c_less'( 'c_plus'( T, Y, X ), 'c_plus'( T, Z, X )
% 1.25/1.67 , X ) ] )
% 1.25/1.67 , clause( 5028, [ ~(
% 1.25/1.67 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 1.25/1.67 'c_less'( 'c_plus'( Y, Z, X ), 'c_plus'( T, Z, X ), X ) ), 'c_less'( Y, T
% 1.25/1.67 , X ) ] )
% 1.25/1.67 , clause( 5029, [ ~(
% 1.25/1.67 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 1.25/1.67 'c_less'( Y, Z, X ) ), 'c_less'( 'c_plus'( Y, T, X ), 'c_plus'( Z, T, X )
% 1.25/1.67 , X ) ] )
% 1.25/1.67 , clause( 5030, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ),
% 1.25/1.67 ~( =( 'c_plus'( Y, Z, X ), 'c_plus'( T, Z, X ) ) ), =( Y, T ) ] )
% 1.25/1.67 , clause( 5031, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.25/1.67 'c_plus'( 'c_0', Y, X ), Y ) ] )
% 1.25/1.67 , clause( 5032, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.25/1.67 'c_minus'( 'c_0', Y, X ), 'c_uminus'( Y, X ) ) ] )
% 1.25/1.67 , clause( 5033, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.25/1.67 'c_minus'( Y, 'c_0', X ), Y ) ] )
% 1.25/1.67 , clause( 5034, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.25/1.67 'c_minus'( Y, Z, X ), 'c_0' ) ), =( Y, Z ) ] )
% 1.25/1.67 , clause( 5035, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.25/1.67 , ~( 'c_lessequals'( 'c_minus'( Y, Z, X ), 'c_0', X ) ), 'c_lessequals'(
% 1.25/1.67 Y, Z, X ) ] )
% 1.25/1.67 , clause( 5036, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.25/1.67 , ~( 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_minus'( Y, Z, X ),
% 1.25/1.67 'c_0', X ) ] )
% 1.25/1.67 , clause( 5037, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.25/1.67 , ~( 'c_less'( 'c_minus'( Y, Z, X ), 'c_0', X ) ), 'c_less'( Y, Z, X ) ]
% 1.25/1.67 )
% 1.25/1.67 , clause( 5038, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.25/1.67 , ~( 'c_less'( Y, Z, X ) ), 'c_less'( 'c_minus'( Y, Z, X ), 'c_0', X ) ]
% 1.25/1.67 )
% 1.25/1.67 , clause( 5039, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.25/1.67 'c_minus'( Y, 'c_uminus'( Z, X ), X ), 'c_plus'( Y, Z, X ) ) ] )
% 1.25/1.67 , clause( 5040, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.25/1.67 'c_minus'( Y, Y, X ), 'c_0' ) ] )
% 1.25/1.67 , clause( 5041, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~(
% 1.25/1.67 'c_lessequals'( 'c_plus'( Y, Y, X ), 'c_0', X ) ), 'c_lessequals'( Y,
% 1.25/1.67 'c_0', X ) ] )
% 1.25/1.67 , clause( 5042, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~(
% 1.25/1.67 'c_lessequals'( Y, 'c_0', X ) ), 'c_lessequals'( 'c_plus'( Y, Y, X ),
% 1.25/1.67 'c_0', X ) ] )
% 1.25/1.67 , clause( 5043, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.25/1.67 , ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( 'c_plus'( Y, Y, X )
% 1.25/1.67 , 'c_0', X ) ), 'c_less'( Y, 'c_0', X ) ] )
% 1.25/1.67 , clause( 5044, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.25/1.67 , ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( Y, 'c_0', X ) ),
% 1.25/1.67 'c_less'( 'c_plus'( Y, Y, X ), 'c_0', X ) ] )
% 1.25/1.67 , clause( 5045, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~(
% 1.25/1.67 =( 'c_LOrder_Ojoin'( Y, 'c_uminus'( Y, X ), X ), 'c_0' ) ), =( Y, 'c_0' )
% 1.25/1.67 ] )
% 1.25/1.67 , clause( 5046, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =(
% 1.25/1.67 'c_LOrder_Ojoin'( 'c_0', 'c_uminus'( 'c_0', X ), X ), 'c_0' ) ] )
% 1.25/1.67 , clause( 5047, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~(
% 1.25/1.67 =( 'c_LOrder_Omeet'( Y, 'c_uminus'( Y, X ), X ), 'c_0' ) ), =( Y, 'c_0' )
% 1.25/1.67 ] )
% 1.25/1.67 , clause( 5048, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =(
% 1.25/1.67 'c_LOrder_Omeet'( 'c_0', 'c_uminus'( 'c_0', X ), X ), 'c_0' ) ] )
% 1.25/1.67 , clause( 5049, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.25/1.67 'c_uminus'( 'c_plus'( Y, Z, X ), X ), 'c_plus'( 'c_uminus'( Y, X ),
% 1.25/1.67 'c_uminus'( Z, X ), X ) ) ] )
% 1.25/1.67 , clause( 5050, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.25/1.67 'c_uminus'( 'c_minus'( Y, Z, X ), X ), 'c_minus'( Z, Y, X ) ) ] )
% 1.25/1.67 , clause( 5051, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.25/1.67 'c_uminus'( 'c_uminus'( Y, X ), X ), Y ) ] )
% 1.25/1.67 , clause( 5052, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.25/1.67 'c_times'( 'c_1', Y, X ), Y ) ] )
% 1.25/1.67 , clause( 5053, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.25/1.67 'c_times'( Y, 'c_1', X ), Y ) ] )
% 1.25/1.67 , clause( 5054, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.25/1.67 'c_0', 'c_uminus'( Y, X ) ) ), =( 'c_0', Y ) ] )
% 1.25/1.67 , clause( 5055, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_0'
% 1.25/1.67 , 'c_uminus'( 'c_0', X ) ) ] )
% 1.25/1.67 , clause( 5056, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.25/1.67 , ~( 'c_lessequals'( 'c_0', 'c_uminus'( Y, X ), X ) ), 'c_lessequals'( Y
% 1.25/1.67 , 'c_0', X ) ] )
% 1.25/1.67 , clause( 5057, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.25/1.67 , ~( 'c_lessequals'( Y, 'c_0', X ) ), 'c_lessequals'( 'c_0', 'c_uminus'(
% 1.25/1.67 Y, X ), X ) ] )
% 1.25/1.67 , clause( 5058, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.25/1.67 , ~( 'c_less'( 'c_0', 'c_uminus'( Y, X ), X ) ), 'c_less'( Y, 'c_0', X )
% 1.25/1.67 ] )
% 1.25/1.67 , clause( 5059, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.25/1.67 , ~( 'c_less'( Y, 'c_0', X ) ), 'c_less'( 'c_0', 'c_uminus'( Y, X ), X )
% 1.25/1.67 ] )
% 1.25/1.67 , clause( 5060, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.25/1.67 'c_uminus'( Y, X ), 'c_0' ) ), =( Y, 'c_0' ) ] )
% 1.25/1.67 , clause( 5061, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.25/1.67 'c_uminus'( 'c_0', X ), 'c_0' ) ] )
% 1.25/1.67 , clause( 5062, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.25/1.67 'c_uminus'( Y, X ), 'c_uminus'( Z, X ) ) ), =( Y, Z ) ] )
% 1.25/1.67 , clause( 5063, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =(
% 1.25/1.67 'c_uminus'( 'c_LOrder_Ojoin'( Y, Z, X ), X ), 'c_LOrder_Omeet'(
% 1.25/1.67 'c_uminus'( Y, X ), 'c_uminus'( Z, X ), X ) ) ] )
% 1.25/1.67 , clause( 5064, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.25/1.67 , ~( 'c_lessequals'( 'c_uminus'( Y, X ), 'c_0', X ) ), 'c_lessequals'(
% 1.25/1.67 'c_0', Y, X ) ] )
% 1.25/1.67 , clause( 5065, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.25/1.67 , ~( 'c_lessequals'( 'c_0', Y, X ) ), 'c_lessequals'( 'c_uminus'( Y, X )
% 1.25/1.67 , 'c_0', X ) ] )
% 1.25/1.67 , clause( 5066, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.25/1.67 , ~( 'c_lessequals'( 'c_uminus'( Y, X ), 'c_uminus'( Z, X ), X ) ),
% 1.25/1.67 'c_lessequals'( Z, Y, X ) ] )
% 1.25/1.67 , clause( 5067, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.25/1.67 , ~( 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_uminus'( Z, X ),
% 1.25/1.67 'c_uminus'( Y, X ), X ) ] )
% 1.25/1.67 , clause( 5068, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.25/1.67 , ~( 'c_less'( 'c_uminus'( Y, X ), 'c_0', X ) ), 'c_less'( 'c_0', Y, X )
% 1.25/1.67 ] )
% 1.25/1.67 , clause( 5069, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.25/1.67 , ~( 'c_less'( 'c_0', Y, X ) ), 'c_less'( 'c_uminus'( Y, X ), 'c_0', X )
% 1.25/1.67 ] )
% 1.25/1.67 , clause( 5070, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.25/1.67 , ~( 'c_less'( 'c_uminus'( Y, X ), 'c_uminus'( Z, X ), X ) ), 'c_less'( Z
% 1.25/1.67 , Y, X ) ] )
% 1.25/1.67 , clause( 5071, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.25/1.67 , ~( 'c_less'( Y, Z, X ) ), 'c_less'( 'c_uminus'( Z, X ), 'c_uminus'( Y,
% 1.25/1.67 X ), X ) ] )
% 1.25/1.67 , clause( 5072, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =(
% 1.25/1.67 'c_uminus'( 'c_LOrder_Omeet'( Y, Z, X ), X ), 'c_LOrder_Ojoin'(
% 1.25/1.67 'c_uminus'( Y, X ), 'c_uminus'( Z, X ), X ) ) ] )
% 1.25/1.67 , clause( 5073, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =(
% 1.25/1.67 'c_OrderedGroup_Onprt'( 'c_0', X ), 'c_0' ) ] )
% 1.25/1.67 , clause( 5074, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~(
% 1.25/1.67 'c_lessequals'( 'c_0', Y, X ) ), =( 'c_OrderedGroup_Onprt'( Y, X ), 'c_0'
% 1.25/1.67 ) ] )
% 1.25/1.67 , clause( 5075, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~(
% 1.25/1.67 'c_lessequals'( Y, 'c_0', X ) ), =( 'c_OrderedGroup_Onprt'( Y, X ), Y ) ]
% 1.25/1.67 )
% 1.25/1.67 , clause( 5076, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.25/1.67 'c_lessequals'( 'c_OrderedGroup_Onprt'( Y, X ), 'c_0', X ) ] )
% 1.25/1.67 , clause( 5077, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~(
% 1.25/1.67 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_OrderedGroup_Onprt'( Y, X
% 1.25/1.67 ), 'c_OrderedGroup_Onprt'( Z, X ), X ) ] )
% 1.25/1.67 , clause( 5078, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =(
% 1.25/1.67 'c_OrderedGroup_Opprt'( 'c_0', X ), 'c_0' ) ] )
% 1.25/1.67 , clause( 5079, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~(
% 1.25/1.67 'c_lessequals'( Y, 'c_0', X ) ), =( 'c_OrderedGroup_Opprt'( Y, X ), 'c_0'
% 1.25/1.67 ) ] )
% 1.25/1.67 , clause( 5080, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~(
% 1.25/1.67 'c_lessequals'( 'c_0', Y, X ) ), =( 'c_OrderedGroup_Opprt'( Y, X ), Y ) ]
% 1.25/1.67 )
% 1.25/1.67 , clause( 5081, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~(
% 1.25/1.67 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_OrderedGroup_Opprt'( Y, X
% 1.25/1.67 ), 'c_OrderedGroup_Opprt'( Z, X ), X ) ] )
% 1.25/1.67 , clause( 5082, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.25/1.67 'c_plus'( Y, 'c_uminus'( Y, X ), X ), 'c_0' ) ] )
% 1.25/1.67 , clause( 5083, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~(
% 1.25/1.67 'c_lessequals'( 'c_0', 'c_plus'( Y, Y, X ), X ) ), 'c_lessequals'( 'c_0'
% 1.25/1.67 , Y, X ) ] )
% 1.25/1.67 , clause( 5084, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~(
% 1.25/1.67 'c_lessequals'( 'c_0', Y, X ) ), 'c_lessequals'( 'c_0', 'c_plus'( Y, Y, X
% 1.25/1.67 ), X ) ] )
% 1.25/1.67 , clause( 5085, [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.25/1.67 'c_lessequals'( 'c_0', 'c_OrderedGroup_Opprt'( Y, X ), X ) ] )
% 1.25/1.67 , clause( 5086, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.25/1.67 , ~( 'c_less'( 'c_0', 'c_HOL_Oabs'( 'c_0', X ), X ) ) ] )
% 1.25/1.67 , clause( 5087, [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) )
% 1.25/1.67 , 'c_less'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ), =( Y, 'c_0' ) ] )
% 1.25/1.67 , clause( 5088, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'(
% 1.25/1.67 'c_Orderings_Omax'( Y, Z, X ), T, X ) ), 'c_less'( Y, T, X ) ] )
% 1.25/1.67 , clause( 5089, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'(
% 1.25/1.67 'c_Orderings_Omax'( Y, Z, X ), T, X ) ), 'c_less'( Z, T, X ) ] )
% 1.25/1.67 , clause( 5090, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( Y, Z
% 1.25/1.67 , X ) ), ~( 'c_less'( T, Z, X ) ), 'c_less'( 'c_Orderings_Omax'( T, Y, X
% 1.25/1.67 ), Z, X ) ] )
% 1.25/1.67 , clause( 5091, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( Y,
% 1.25/1.67 'c_Orderings_Omin'( Z, T, X ), X ) ), 'c_less'( Y, Z, X ) ] )
% 1.25/1.67 , clause( 5092, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( Y,
% 1.25/1.67 'c_Orderings_Omin'( Z, T, X ), X ) ), 'c_less'( Y, T, X ) ] )
% 1.25/1.67 , clause( 5093, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( Y, Z
% 1.25/1.67 , X ) ), ~( 'c_less'( Y, T, X ) ), 'c_less'( Y, 'c_Orderings_Omin'( T, Z
% 1.25/1.67 , X ), X ) ] )
% 1.25/1.67 , clause( 5094, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 1.25/1.67 Y, 'c_Orderings_Omin'( Z, T, X ), X ) ), 'c_lessequals'( Y, Z, X ) ] )
% 1.25/1.67 , clause( 5095, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 1.25/1.67 Y, 'c_Orderings_Omin'( Z, T, X ), X ) ), 'c_lessequals'( Y, T, X ) ] )
% 1.25/1.67 , clause( 5096, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 1.25/1.67 Y, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ), 'c_lessequals'( Y,
% 1.25/1.67 'c_Orderings_Omin'( T, Z, X ), X ) ] )
% 1.25/1.67 , clause( 5097, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.25/1.67 'c_Orderings_Omin'( Y, Y, X ), Y ) ] )
% 1.25/1.67 , clause( 5098, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.25/1.67 'c_Orderings_Omin'( Y, 'c_Orderings_Omin'( Y, Z, X ), X ),
% 1.25/1.67 'c_Orderings_Omin'( Y, Z, X ) ) ] )
% 1.25/1.67 , clause( 5099, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 1.25/1.67 'c_Orderings_Omax'( Y, Z, X ), T, X ) ), 'c_lessequals'( Y, T, X ) ] )
% 1.25/1.67 , clause( 5100, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 1.25/1.67 'c_Orderings_Omax'( Y, Z, X ), T, X ) ), 'c_lessequals'( Z, T, X ) ] )
% 1.25/1.67 , clause( 5101, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 1.25/1.67 Y, Z, X ) ), ~( 'c_lessequals'( T, Z, X ) ), 'c_lessequals'(
% 1.25/1.67 'c_Orderings_Omax'( T, Y, X ), Z, X ) ] )
% 1.25/1.67 , clause( 5102, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.25/1.67 'c_Orderings_Omax'( Y, Y, X ), Y ) ] )
% 1.25/1.67 , clause( 5103, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.25/1.67 'c_Orderings_Omax'( Y, 'c_Orderings_Omax'( Y, Z, X ), X ),
% 1.25/1.67 'c_Orderings_Omax'( Y, Z, X ) ) ] )
% 1.25/1.67 , clause( 5104, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_less'( Y, Y, X
% 1.25/1.67 ) ) ] )
% 1.25/1.67 , clause( 5105, [ ~( 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( X, 'tc_nat'
% 1.25/1.67 ), 'tc_nat' ) ), 'c_Parity_Oeven'( 'c_IntDef_Oint'(
% 1.25/1.67 'c_Numeral_Onumber__of'( X, 'tc_nat' ) ), 'tc_IntDef_Oint' ) ] )
% 1.25/1.67 , clause( 5106, [ ~( 'c_Parity_Oeven'( 'c_IntDef_Oint'(
% 1.25/1.67 'c_Numeral_Onumber__of'( X, 'tc_nat' ) ), 'tc_IntDef_Oint' ) ),
% 1.25/1.67 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ) ] )
% 1.25/1.67 , clause( 5107, [ ~( 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'(
% 1.25/1.67 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.25/1.67 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.25/1.67 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ),
% 1.25/1.67 'tc_IntDef_Oint' ), 'c_0' ) ] )
% 1.25/1.67 , clause( 5108, [ ~( =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X,
% 1.25/1.67 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.25/1.67 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.25/1.67 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_0' ) )
% 1.25/1.67 , 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.25/1.67 'tc_IntDef_Oint' ) ] )
% 1.25/1.67 , clause( 5109, [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~(
% 1.25/1.67 'c_Parity_Oeven'( 'c_minus'( Y, X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' )
% 1.25/1.67 ), 'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ) ] )
% 1.25/1.67 , clause( 5110, [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~(
% 1.25/1.67 'c_Parity_Oeven'( 'c_minus'( X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' )
% 1.25/1.67 ), 'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ) ] )
% 1.25/1.67 , clause( 5111, [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~(
% 1.25/1.67 'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( 'c_minus'( Y
% 1.25/1.67 , X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 1.25/1.67 , clause( 5112, [ 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ), 'c_Parity_Oeven'(
% 1.25/1.67 Y, 'tc_IntDef_Oint' ), 'c_Parity_Oeven'( 'c_minus'( Y, X,
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 1.25/1.67 , clause( 5113, [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), ~( 'c_Parity_Oeven'(
% 1.25/1.67 'c_Suc'( X ), 'tc_nat' ) ) ] )
% 1.25/1.67 , clause( 5114, [ 'c_Parity_Oeven'( X, 'tc_nat' ), 'c_Parity_Oeven'(
% 1.25/1.67 'c_Suc'( X ), 'tc_nat' ) ] )
% 1.25/1.67 , clause( 5115, [ ~( 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 'tc_nat' ),
% 1.25/1.67 'tc_nat' ) ), 'c_Parity_Oeven'( X, 'tc_nat' ) ] )
% 1.25/1.67 , clause( 5116, [ ~( 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 'tc_nat' ),
% 1.25/1.67 'tc_nat' ) ), 'c_less'( 'c_0', Y, 'tc_nat' ) ] )
% 1.25/1.67 , clause( 5117, [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), ~( 'c_less'( 'c_0'
% 1.25/1.67 , Y, 'tc_nat' ) ), 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 'tc_nat' ),
% 1.25/1.67 'tc_nat' ) ] )
% 1.25/1.67 , clause( 5118, [ ~( 'c_Parity_Oeven'( 'c_times'( X, Y, 'tc_nat' ),
% 1.25/1.67 'tc_nat' ) ), 'c_Parity_Oeven'( Y, 'tc_nat' ), 'c_Parity_Oeven'( X,
% 1.25/1.67 'tc_nat' ) ] )
% 1.25/1.67 , clause( 5119, [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), 'c_Parity_Oeven'(
% 1.25/1.67 'c_times'( X, Y, 'tc_nat' ), 'tc_nat' ) ] )
% 1.25/1.67 , clause( 5120, [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), 'c_Parity_Oeven'(
% 1.25/1.67 'c_times'( Y, X, 'tc_nat' ), 'tc_nat' ) ] )
% 1.25/1.67 , clause( 5121, [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), ~( 'c_Parity_Oeven'(
% 1.25/1.67 'c_plus'( Y, X, 'tc_nat' ), 'tc_nat' ) ), 'c_Parity_Oeven'( Y, 'tc_nat' )
% 1.25/1.67 ] )
% 1.25/1.67 , clause( 5122, [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), ~( 'c_Parity_Oeven'(
% 1.25/1.67 'c_plus'( X, Y, 'tc_nat' ), 'tc_nat' ) ), 'c_Parity_Oeven'( Y, 'tc_nat' )
% 1.25/1.67 ] )
% 1.25/1.67 , clause( 5123, [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), ~( 'c_Parity_Oeven'(
% 1.25/1.67 Y, 'tc_nat' ) ), 'c_Parity_Oeven'( 'c_plus'( Y, X, 'tc_nat' ), 'tc_nat' )
% 1.25/1.67 ] )
% 1.25/1.67 , clause( 5124, [ 'c_Parity_Oeven'( X, 'tc_nat' ), 'c_Parity_Oeven'( Y,
% 1.25/1.67 'tc_nat' ), 'c_Parity_Oeven'( 'c_plus'( Y, X, 'tc_nat' ), 'tc_nat' ) ] )
% 1.25/1.67 , clause( 5125, [ 'c_Parity_Oeven'( 'c_0', 'tc_nat' ) ] )
% 1.25/1.67 , clause( 5126, [ ~( 'c_Parity_Oeven'( 'c_uminus'( X, 'tc_IntDef_Oint' ),
% 1.25/1.67 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ] )
% 1.25/1.67 , clause( 5127, [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ),
% 1.25/1.67 'c_Parity_Oeven'( 'c_uminus'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ]
% 1.25/1.67 )
% 1.25/1.67 , clause( 5128, [ ~( 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y,
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( X,
% 1.25/1.67 'tc_IntDef_Oint' ) ] )
% 1.25/1.67 , clause( 5129, [ ~( 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y,
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_less'( 'c_0', Y, 'tc_nat' )
% 1.25/1.67 ] )
% 1.25/1.67 , clause( 5130, [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 'c_less'(
% 1.25/1.67 'c_0', Y, 'tc_nat' ) ), 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y,
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 1.25/1.67 , clause( 5131, [ ~( 'c_Parity_Oeven'( 'c_times'( X, Y, 'tc_IntDef_Oint' )
% 1.25/1.67 , 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ),
% 1.25/1.67 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ] )
% 1.25/1.67 , clause( 5132, [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ),
% 1.25/1.67 'c_Parity_Oeven'( 'c_times'( X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' )
% 1.25/1.67 ] )
% 1.25/1.67 , clause( 5133, [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ),
% 1.25/1.67 'c_Parity_Oeven'( 'c_times'( Y, X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' )
% 1.25/1.67 ] )
% 1.25/1.67 , clause( 5134, [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~(
% 1.25/1.67 'c_Parity_Oeven'( 'c_plus'( Y, X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' )
% 1.25/1.67 ), 'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ) ] )
% 1.25/1.67 , clause( 5135, [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~(
% 1.25/1.67 'c_Parity_Oeven'( 'c_plus'( X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' )
% 1.25/1.67 ), 'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ) ] )
% 1.25/1.67 , clause( 5136, [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~(
% 1.25/1.67 'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( 'c_plus'( Y
% 1.25/1.67 , X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ] )
% 1.25/1.67 , clause( 5137, [ 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ), 'c_Parity_Oeven'(
% 1.25/1.67 Y, 'tc_IntDef_Oint' ), 'c_Parity_Oeven'( 'c_plus'( Y, X, 'tc_IntDef_Oint'
% 1.25/1.67 ), 'tc_IntDef_Oint' ) ] )
% 1.25/1.67 , clause( 5138, [ 'c_Parity_Oeven'( 'c_0', 'tc_IntDef_Oint' ) ] )
% 1.25/1.67 , clause( 5139, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_Parity_Oeven'( Y,
% 1.25/1.67 'tc_nat' ) ), =( 'c_Nat_Opower'( 'c_uminus'( 'c_1', X ), Y, X ), 'c_1' )
% 1.25/1.67 ] )
% 1.25/1.67 , clause( 5140, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'c_Parity_Oeven'( Y,
% 1.25/1.67 'tc_nat' ), =( 'c_Nat_Opower'( 'c_uminus'( 'c_1', X ), Y, X ), 'c_uminus'(
% 1.25/1.67 'c_1', X ) ) ] )
% 1.25/1.67 , clause( 5141, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.67 'class_Power_Orecpower'( X ) ), ~( 'c_Parity_Oeven'( Y, 'tc_nat' ) ), =(
% 1.25/1.67 'c_Nat_Opower'( 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), Y, X ),
% 1.25/1.67 'c_1' ) ] )
% 1.25/1.67 , clause( 5142, [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.25/1.67 'class_Power_Orecpower'( X ) ), 'c_Parity_Oeven'( Y, 'tc_nat' ), =(
% 1.25/1.67 'c_Nat_Opower'( 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), Y, X ),
% 1.25/1.67 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ) ) ] )
% 1.25/1.67 , clause( 5143, [ =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'(
% 1.25/1.67 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.25/1.67 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ),
% 1.25/1.67 'tc_IntDef_Oint' ), 'c_0' ), =( 'c_Divides_Oop_Amod'( X,
% 1.25/1.67 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.25/1.67 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_1' ) ] )
% 1.25/1.67 , clause( 5144, [ ~( =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'(
% 1.25/1.67 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.25/1.67 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ),
% 1.25/1.67 'tc_IntDef_Oint' ), 'c_0' ) ), ~( =( 'c_Divides_Oop_Amod'( X,
% 1.25/1.67 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.25/1.67 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.25/1.67 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_1' ) ) ] )
% 1.25/1.67 , clause( 5145, [ ~( 'c_Parity_Oeven'( 'c_1', 'tc_IntDef_Oint' ) ) ] )
% 1.25/1.67 , clause( 5146, [ ~( 'class_Power_Orecpower'( X ) ), ~( =(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_0' ) ), =( 'c_Nat_Opower'(
% 1.25/1.67 'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_1' ) ] )
% 1.25/1.67 , clause( 5147, [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'(
% 1.25/1.67 'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0' ), =(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_0' ) ] )
% 1.25/1.67 , clause( 5148, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_Nat_Opower'( Y,
% 1.25/1.67 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0' ) ), =( Y, 'c_0' ) ]
% 1.25/1.67 )
% 1.25/1.67 , clause( 5149, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_Nat_Opower'( Y,
% 1.25/1.67 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0' ) ), 'c_less'( 'c_0',
% 1.25/1.67 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ) ] )
% 1.25/1.67 , clause( 5150, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0',
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), =( 'c_Nat_Opower'(
% 1.25/1.67 'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0' ) ] )
% 1.25/1.67 , clause( 5151, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), =( 'c_Nat_Opower'(
% 1.25/1.67 'c_HOL_Oabs'( Z, X ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ),
% 1.25/1.67 'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ) ) ] )
% 1.25/1.67 , clause( 5152, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.25/1.67 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0', X
% 1.25/1.67 ) ), ~( =( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'c_0' ) ) ] )
% 1.25/1.67 , clause( 5153, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), ~( 'c_lessequals'(
% 1.25/1.67 'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0', X
% 1.25/1.67 ) ), =( Z, 'c_0' ) ] )
% 1.25/1.67 , clause( 5154, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.25/1.67 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0', X
% 1.25/1.67 ) ), 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat'
% 1.25/1.67 ), 'c_lessequals'( Y, 'c_0', X ) ] )
% 1.25/1.67 , clause( 5155, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.25/1.67 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0', X
% 1.25/1.67 ) ), 'c_lessequals'( Y, 'c_0', X ), =( Y, 'c_0' ) ] )
% 1.25/1.67 , clause( 5156, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( Y,
% 1.25/1.67 'c_0', X ) ), 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ),
% 1.25/1.67 'tc_nat' ), 'c_lessequals'( 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z
% 1.25/1.67 , 'tc_nat' ), X ), 'c_0', X ), =( 'c_Numeral_Onumber__of'( Z, 'tc_nat' )
% 1.25/1.67 , 'c_0' ) ] )
% 1.25/1.67 , clause( 5157, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), 'c_lessequals'(
% 1.25/1.67 'c_Nat_Opower'( 'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0'
% 1.25/1.67 , X ), =( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_0' ) ] )
% 1.25/1.67 , clause( 5158, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), ~( 'c_less'(
% 1.25/1.67 'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0', X
% 1.25/1.67 ) ) ] )
% 1.25/1.67 , clause( 5159, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'(
% 1.25/1.67 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0', X
% 1.25/1.67 ) ), 'c_less'( Y, 'c_0', X ) ] )
% 1.25/1.67 , clause( 5160, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.25/1.67 ) ), 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat'
% 1.25/1.67 ), 'c_less'( 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ),
% 1.25/1.67 X ), 'c_0', X ) ] )
% 1.25/1.67 , clause( 5161, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_Parity_Oeven'( Y,
% 1.25/1.67 'tc_nat' ) ), =( 'c_Nat_Opower'( 'c_uminus'( Z, X ), Y, X ),
% 1.25/1.67 'c_Nat_Opower'( Z, Y, X ) ) ] )
% 1.25/1.67 , clause( 5162, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'c_Parity_Oeven'( Y,
% 1.25/1.67 'tc_nat' ), =( 'c_Nat_Opower'( 'c_uminus'( Z, X ), Y, X ), 'c_uminus'(
% 1.25/1.67 'c_Nat_Opower'( Z, Y, X ), X ) ) ] )
% 1.25/1.67 , clause( 5163, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.25/1.67 , 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), X ) ),
% 1.25/1.67 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ),
% 1.25/1.67 'c_lessequals'( 'c_0', Y, X ) ] )
% 1.25/1.67 , clause( 5164, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), 'c_lessequals'(
% 1.25/1.67 'c_0', 'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), X
% 1.25/1.67 ) ] )
% 1.25/1.67 , clause( 5165, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.25/1.67 , Y, X ) ), 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ),
% 1.25/1.67 'tc_nat' ), 'c_lessequals'( 'c_0', 'c_Nat_Opower'( Y,
% 1.25/1.67 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), X ) ] )
% 1.25/1.67 , clause( 5166, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0',
% 1.25/1.67 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), X ) ),
% 1.25/1.67 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ),
% 1.25/1.67 'c_less'( 'c_0', Y, X ), =( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'c_0'
% 1.25/1.67 ) ] )
% 1.25/1.67 , clause( 5167, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), ~( 'c_less'( 'c_0'
% 1.25/1.67 , 'c_Nat_Opower'( 'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), X )
% 1.25/1.67 ), =( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_0' ) ] )
% 1.25/1.67 , clause( 5168, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0',
% 1.25/1.67 'c_Nat_Opower'( 'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), X ) )
% 1.25/1.67 , 'c_less'( 'c_0', 'c_0', X ), =( 'c_Numeral_Onumber__of'( Y, 'tc_nat' )
% 1.25/1.67 , 'c_0' ) ] )
% 1.25/1.67 , clause( 5169, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_0' ) ), 'c_less'( 'c_0',
% 1.25/1.67 'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), X ) ] )
% 1.25/1.67 , clause( 5170, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'(
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), 'c_less'( 'c_0',
% 1.25/1.67 'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), X ), =( Z
% 1.25/1.67 , 'c_0' ) ] )
% 1.25/1.67 , clause( 5171, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.25/1.67 ) ), 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat'
% 1.25/1.67 ), 'c_less'( 'c_0', 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z,
% 1.25/1.67 'tc_nat' ), X ), X ) ] )
% 1.25/1.67 , clause( 5172, [ ~( 'c_less'( 'c_0', 'c_Nat_Opower'( X,
% 1.25/1.67 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ),
% 1.25/1.67 'c_less'( 'c_0', X, 'tc_nat' ), =( 'c_Numeral_Onumber__of'( Y, 'tc_nat' )
% 1.25/1.67 , 'c_0' ) ] )
% 1.25/1.67 , clause( 5173, [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ),
% 1.25/1.67 'c_less'( 'c_0', 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( X, 'tc_nat'
% 1.25/1.67 ), 'tc_nat' ), 'tc_nat' ) ] )
% 1.25/1.67 , clause( 5174, [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0',
% 1.25/1.67 'c_Nat_Opower'( X, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ),
% 1.25/1.67 'tc_nat' ) ] )
% 1.25/1.67 , clause( 5175, [ ~( 'c_lessequals'( 'c_1', X, 'tc_nat' ) ), 'c_lessequals'(
% 1.25/1.67 'c_Suc'( 'c_0' ), 'c_Nat_Opower'( X, Y, 'tc_nat' ), 'tc_nat' ) ] )
% 1.25/1.67 , clause( 5176, [ ~( 'c_less'( 'c_0', 'c_Nat_Opower'( 'c_0', X, 'tc_nat' )
% 1.25/1.67 , 'tc_nat' ) ), =( X, 'c_0' ) ] )
% 1.25/1.67 , clause( 5177, [ 'c_less'( 'c_0', 'c_Nat_Opower'( X, Y, 'tc_nat' ),
% 1.25/1.67 'tc_nat' ), =( X, 'c_0' ) ] )
% 1.25/1.67 , clause( 5178, [ 'c_less'( 'c_0', 'c_Nat_Opower'( X, 'c_0', 'tc_nat' ),
% 1.25/1.67 'tc_nat' ) ] )
% 1.25/1.67 , clause( 5179, [ =( 'c_Nat_Opower'( X, 'c_0', 'tc_nat' ), 'c_1' ) ] )
% 1.25/1.67 , clause( 5180, [ =( 'c_Nat_Opower'( X, 'c_Suc'( Y ), 'tc_nat' ), 'c_times'(
% 1.25/1.67 X, 'c_Nat_Opower'( X, Y, 'tc_nat' ), 'tc_nat' ) ) ] )
% 1.25/1.67 , clause( 5181, [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'(
% 1.25/1.67 'c_0', 'c_Suc'( Y ), X ), 'c_0' ) ] )
% 1.25/1.67 , clause( 5182, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_Nat_Opower'( Y,
% 1.25/1.67 Z, X ), 'c_0' ) ), =( Y, 'c_0' ) ] )
% 1.25/1.67 , clause( 5183, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_Nat_Opower'( Y,
% 1.25/1.67 Z, X ), 'c_0' ) ), 'c_less'( 'c_0', Z, 'tc_nat' ) ] )
% 1.25/1.67 , clause( 5184, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0', Y,
% 1.25/1.67 'tc_nat' ) ), =( 'c_Nat_Opower'( 'c_0', Y, X ), 'c_0' ) ] )
% 1.25/1.67 , clause( 5185, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( 'c_1', Y
% 1.25/1.67 , X ) ), ~( 'c_lessequals'( 'c_Nat_Opower'( Y, Z, X ), 'c_Nat_Opower'( Y
% 1.25/1.67 , T, X ), X ) ), 'c_lessequals'( Z, T, 'tc_nat' ) ] )
% 1.25/1.67 , clause( 5186, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( 'c_1', Y
% 1.25/1.67 , X ) ), ~( 'c_lessequals'( Z, T, 'tc_nat' ) ), 'c_lessequals'(
% 1.25/1.67 'c_Nat_Opower'( Y, Z, X ), 'c_Nat_Opower'( Y, T, X ), X ) ] )
% 1.25/1.67 , clause( 5187, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( 'c_1', Y
% 1.25/1.67 , X ) ), ~( =( 'c_Nat_Opower'( Y, Z, X ), 'c_Nat_Opower'( Y, T, X ) ) ),
% 1.25/1.67 =( Z, T ) ] )
% 1.25/1.67 , clause( 5188, [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'(
% 1.25/1.67 'c_1', Y, X ), 'c_1' ) ] )
% 1.25/1.67 , clause( 5189, [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( Y,
% 1.25/1.67 'c_1', X ), Y ) ] )
% 1.25/1.67 , clause( 5190, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( 'c_1', Y
% 1.25/1.67 , X ) ), ~( 'c_less'( 'c_Nat_Opower'( Y, Z, X ), 'c_Nat_Opower'( Y, T, X
% 1.25/1.67 ), X ) ), 'c_less'( Z, T, 'tc_nat' ) ] )
% 1.25/1.67 , clause( 5191, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( Y, Z,
% 1.25/1.67 'tc_nat' ) ), ~( 'c_less'( 'c_1', T, X ) ), 'c_less'( 'c_Nat_Opower'( T,
% 1.25/1.67 Y, X ), 'c_Nat_Opower'( T, Z, X ), X ) ] )
% 1.25/1.67 , clause( 5192, [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( Y,
% 1.25/1.67 'c_0', X ), 'c_1' ) ] )
% 1.25/1.67 , clause( 5193, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 'c_0',
% 1.25/1.67 'c_Nat_Opower'( 'c_HOL_Oabs'( Y, X ), Z, X ), X ) ] )
% 1.25/1.67 , clause( 5194, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0',
% 1.25/1.67 'c_Nat_Opower'( 'c_HOL_Oabs'( 'c_0', X ), Y, X ), X ) ), =( Y, 'c_0' ) ]
% 1.25/1.67 )
% 1.25/1.67 , clause( 5195, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_less'( 'c_0',
% 1.25/1.67 'c_Nat_Opower'( 'c_HOL_Oabs'( Y, X ), Z, X ), X ), =( Y, 'c_0' ) ] )
% 1.25/1.67 , clause( 5196, [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.25/1.67 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_less'( 'c_0',
% 1.25/1.67 'c_Nat_Opower'( 'c_HOL_Oabs'( Y, X ), 'c_0', X ), X ) ] )
% 1.25/1.67 , clause( 5197, [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) )
% 1.25/1.67 , =( X, U ) ] )
% 1.25/1.67 , clause( 5198, [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) )
% 1.25/1.67 , =( Y, W ) ] )
% 1.25/1.67 , clause( 5199, [ =( 'c_fst'( 'c_Pair'( X, Y, Z, T ), Z, T ), X ) ] )
% 1.25/1.67 , clause( 5200, [ =( 'c_Pair'( 'c_fst'( X, Y, Z ), 'c_snd'( X, Y, Z ), Y, Z
% 1.25/1.67 ), X ) ] )
% 1.25/1.67 , clause( 5201, [ =( 'c_snd'( 'c_Pair'( X, Y, Z, T ), Z, T ), Y ) ] )
% 1.25/1.67 , clause( 5202, [ =( X, 'c_Pair'( 'c_Main_Osurj__pair__1'( X, Y, Z ),
% 1.25/1.67 'c_Main_Osurj__pair__2'( X, Y, Z ), Y, Z ) ) ] )
% 1.25/1.67 , clause( 5203, [ =( 'c_Relation_ODomain'( 'c_Relation_OId', X, X ),
% 1.25/1.67 'c_UNIV' ) ] )
% 1.25/1.67 , clause( 5204, [ =( 'c_Relation_ODomain'( 'c_Relation_Odiag'( X, Y ), Y, Y
% 1.25/1.67 ), X ) ] )
% 1.25/1.67 , clause( 5205, [ =( 'c_Relation_ODomain'( 'c_emptyset', X, Y ),
% 1.25/1.67 'c_emptyset' ) ] )
% 1.25/1.67 , clause( 5206, [ =( 'c_Relation_Orel__comp'( 'c_Relation_OId', X, Y, Y, Z
% 1.25/1.67 ), X ) ] )
% 1.25/1.67 , clause( 5207, [ =( 'c_Relation_OImage'( 'c_Relation_OId', X, Y, Y ), X )
% 1.25/1.67 ] )
% 1.25/1.67 , clause( 5208, [ =( 'c_Relation_OImage'( 'c_Relation_Odiag'( X, Y ), Z, Y
% 1.25/1.67 , Y ), 'c_inter'( X, Z, Y ) ) ] )
% 1.25/1.67 , clause( 5209, [ =( 'c_Relation_OImage'( X, 'c_emptyset', Y, Z ),
% 1.25/1.67 'c_emptyset' ) ] )
% 1.25/1.67 , clause( 5210, [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, 'c_insert'( Z,
% 1.25/1.67 'c_emptyset', T ), T, U ), U ) ), 'c_in'( 'c_Pair'( Z, X, T, U ), Y,
% 1.25/1.67 'tc_prod'( T, U ) ) ] )
% 1.25/1.67 , clause( 5211, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) )
% 1.25/1.67 ), 'c_in'( Y, 'c_Relation_OImage'( U, 'c_insert'( X, 'c_emptyset', Z ),
% 1.25/1.67 Z, T ), T ) ] )
% 1.25/1.67 , clause( 5212, [ =( 'c_Relation_Orel__comp'( X, 'c_Relation_OId', Y, Z, Y
% 1.25/1.67 ), X ) ] )
% 1.25/1.67 , clause( 5213, [ =( 'c_Relation_ORange'( 'c_Relation_OId', X, X ),
% 1.25/1.67 'c_UNIV' ) ] )
% 1.25/1.67 , clause( 5214, [ =( 'c_Relation_ORange'( 'c_Relation_Odiag'( X, Y ), Y, Y
% 1.25/1.67 ), X ) ] )
% 1.25/1.67 , clause( 5215, [ =( 'c_Relation_ORange'( 'c_emptyset', X, Y ),
% 1.25/1.67 'c_emptyset' ) ] )
% 1.25/1.67 , clause( 5216, [ =( 'c_Relation_Oconverse'( 'c_Relation_OId', X, X ),
% 1.25/1.67 'c_Relation_OId' ) ] )
% 1.25/1.67 , clause( 5217, [ =( 'c_Relation_Oconverse'( 'c_Relation_Oconverse'( X, Y,
% 1.25/1.67 Z ), Z, Y ), X ) ] )
% 1.25/1.67 , clause( 5218, [ =( 'c_Relation_Oconverse'( 'c_Relation_Odiag'( X, Y ), Y
% 1.25/1.67 , Y ), 'c_Relation_Odiag'( X, Y ) ) ] )
% 1.25/1.67 , clause( 5219, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Oconverse'(
% 1.25/1.67 U, T, Z ), 'tc_prod'( Z, T ) ) ), 'c_in'( 'c_Pair'( Y, X, T, Z ), U,
% 1.25/1.67 'tc_prod'( T, Z ) ) ] )
% 1.25/1.67 , clause( 5220, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) )
% 1.25/1.67 ), 'c_in'( 'c_Pair'( Y, X, T, Z ), 'c_Relation_Oconverse'( U, Z, T ),
% 1.25/1.68 'tc_prod'( T, Z ) ) ] )
% 1.25/1.68 , clause( 5221, [ =( 'c_Relation_Odiag'( 'c_emptyset', X ), 'c_emptyset' )
% 1.25/1.68 ] )
% 1.25/1.68 , clause( 5222, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId',
% 1.25/1.68 'tc_prod'( Z, Z ) ) ), =( X, Y ) ] )
% 1.25/1.68 , clause( 5223, [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId',
% 1.25/1.68 'tc_prod'( Y, Y ) ) ] )
% 1.25/1.68 , clause( 5224, [ =( 'c_Nat_Opower'( X, 'c_1', 'tc_set'( 'tc_prod'( Y, Y )
% 1.25/1.68 ) ), X ) ] )
% 1.25/1.68 , clause( 5225, [ =( 'c_Nat_Opower'( X, 'c_0', 'tc_set'( 'tc_prod'( Y, Y )
% 1.25/1.68 ) ), 'c_Relation_OId' ) ] )
% 1.25/1.68 , clause( 5226, [ =( 'c_Nat_Opower'( X, 'c_Suc'( Y ), 'tc_set'( 'tc_prod'(
% 1.25/1.68 Z, Z ) ) ), 'c_Relation_Orel__comp'( X, 'c_Nat_Opower'( X, Y, 'tc_set'(
% 1.25/1.68 'tc_prod'( Z, Z ) ) ), Z, Z, Z ) ) ] )
% 1.25/1.68 , clause( 5227, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =( 'c_HOL_Oabs'(
% 1.25/1.68 'c_divide'( Y, Z, X ), X ), 'c_divide'( 'c_HOL_Oabs'( Y, X ),
% 1.25/1.68 'c_HOL_Oabs'( Z, X ), X ) ) ] )
% 1.25/1.68 , clause( 5228, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =( 'c_HOL_Oabs'(
% 1.25/1.68 'c_HOL_Oinverse'( Y, X ), X ), 'c_HOL_Oinverse'( 'c_HOL_Oabs'( Y, X ), X
% 1.25/1.68 ) ) ] )
% 1.25/1.68 , clause( 5229, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.25/1.68 'c_HOL_Oabs'( 'c_1', X ), 'c_1' ) ] )
% 1.25/1.68 , clause( 5230, [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ),
% 1.25/1.68 ~( =( 'c_0', 'c_1' ) ) ] )
% 1.25/1.68 , clause( 5231, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'(
% 1.25/1.68 Y, 'c_1', X ), Y ) ] )
% 1.25/1.68 , clause( 5232, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_divide'( Y, Z, X ),
% 1.25/1.68 'c_divide'( Y, T, X ) ) ), =( Z, T ), =( Y, 'c_0' ) ] )
% 1.25/1.68 , clause( 5233, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_0', Y, X ),
% 1.25/1.68 'c_divide'( 'c_0', Z, X ) ) ] )
% 1.25/1.68 , clause( 5234, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_divide'( Y, Z, X ),
% 1.25/1.68 'c_divide'( T, Z, X ) ) ), =( Y, T ), =( Z, 'c_0' ) ] )
% 1.25/1.68 , clause( 5235, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y, 'c_0', X ),
% 1.25/1.68 'c_divide'( Z, 'c_0', X ) ) ] )
% 1.25/1.68 , clause( 5236, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_divide'( Y,
% 1.25/1.68 Z, X ), T, X ), 'c_divide'( Y, 'c_times'( Z, T, X ), X ) ) ] )
% 1.25/1.68 , clause( 5237, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y, 'c_divide'(
% 1.25/1.68 Z, T, X ), X ), 'c_divide'( 'c_times'( Y, T, X ), Z, X ) ) ] )
% 1.25/1.68 , clause( 5238, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_divide'( Y, Z, X ),
% 1.25/1.68 'c_0' ) ), =( Z, 'c_0' ), =( Y, 'c_0' ) ] )
% 1.25/1.68 , clause( 5239, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_0', Y, X ),
% 1.25/1.68 'c_0' ) ] )
% 1.25/1.68 , clause( 5240, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y, 'c_0', X ),
% 1.25/1.68 'c_0' ) ] )
% 1.25/1.68 , clause( 5241, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_divide'( Y, Z, X ),
% 1.25/1.68 'c_1' ) ), =( Y, Z ) ] )
% 1.25/1.68 , clause( 5242, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_divide'( Y,
% 1.25/1.68 'c_0', X ), 'c_1' ) ) ] )
% 1.25/1.68 , clause( 5243, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_divide'( Y,
% 1.25/1.68 Z, X ), 'c_1' ) ), =( Z, Y ) ] )
% 1.25/1.68 , clause( 5244, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =( Y, 'c_0' ), =(
% 1.25/1.68 'c_divide'( Y, Y, X ), 'c_1' ) ] )
% 1.25/1.68 , clause( 5245, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'(
% 1.25/1.68 'c_divide'( 'c_1', Y, X ), 'c_0', X ) ), 'c_lessequals'( Y, 'c_0', X ) ]
% 1.25/1.68 )
% 1.25/1.68 , clause( 5246, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y
% 1.25/1.68 , 'c_0', X ) ), 'c_lessequals'( 'c_divide'( 'c_1', Y, X ), 'c_0', X ) ]
% 1.25/1.68 )
% 1.25/1.68 , clause( 5247, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0'
% 1.25/1.68 , X ) ), ~( 'c_lessequals'( 'c_divide'( Z, Y, X ), 'c_1', X ) ),
% 1.25/1.68 'c_lessequals'( Y, Z, X ) ] )
% 1.25/1.68 , clause( 5248, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0'
% 1.25/1.68 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_divide'( Z, Y
% 1.25/1.68 , X ), 'c_1', X ) ] )
% 1.25/1.68 , clause( 5249, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y
% 1.25/1.68 , X ) ), ~( 'c_lessequals'( 'c_divide'( Z, Y, X ), 'c_1', X ) ),
% 1.25/1.68 'c_lessequals'( Z, Y, X ) ] )
% 1.25/1.68 , clause( 5250, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y
% 1.25/1.68 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ), 'c_lessequals'( 'c_divide'( Z, Y
% 1.25/1.68 , X ), 'c_1', X ) ] )
% 1.25/1.68 , clause( 5251, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.25/1.68 'c_divide'( 'c_1', Y, X ), 'c_0', X ) ), 'c_less'( Y, 'c_0', X ) ] )
% 1.25/1.68 , clause( 5252, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0'
% 1.25/1.68 , X ) ), 'c_less'( 'c_divide'( 'c_1', Y, X ), 'c_0', X ) ] )
% 1.25/1.68 , clause( 5253, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0'
% 1.25/1.68 , X ) ), ~( 'c_less'( 'c_divide'( Z, Y, X ), 'c_1', X ) ), 'c_less'( Y, Z
% 1.25/1.68 , X ) ] )
% 1.25/1.68 , clause( 5254, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z, X
% 1.25/1.68 ) ), ~( 'c_less'( Y, 'c_0', X ) ), 'c_less'( 'c_divide'( Z, Y, X ),
% 1.25/1.68 'c_1', X ) ] )
% 1.25/1.68 , clause( 5255, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y
% 1.25/1.68 , X ) ), ~( 'c_less'( 'c_divide'( Z, Y, X ), 'c_1', X ) ), 'c_less'( Z, Y
% 1.25/1.68 , X ) ] )
% 1.25/1.68 , clause( 5256, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z, X
% 1.25/1.68 ) ), ~( 'c_less'( 'c_0', Z, X ) ), 'c_less'( 'c_divide'( Y, Z, X ),
% 1.25/1.68 'c_1', X ) ] )
% 1.25/1.68 , clause( 5257, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'(
% 1.25/1.68 'c_uminus'( Y, X ), Z, X ), 'c_uminus'( 'c_divide'( Y, Z, X ), X ) ) ] )
% 1.25/1.68 , clause( 5258, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y, 'c_uminus'(
% 1.25/1.68 Z, X ), X ), 'c_uminus'( 'c_divide'( Y, Z, X ), X ) ) ] )
% 1.25/1.68 , clause( 5259, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_0', 'c_0', X
% 1.25/1.68 ), 'c_0' ) ] )
% 1.25/1.68 , clause( 5260, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_1',
% 1.25/1.68 'c_divide'( Y, 'c_0', X ) ) ) ] )
% 1.25/1.68 , clause( 5261, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_1',
% 1.25/1.68 'c_divide'( Y, Z, X ) ) ), =( Z, Y ) ] )
% 1.25/1.68 , clause( 5262, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =( Y, 'c_0' ), =(
% 1.25/1.68 'c_1', 'c_divide'( Y, Y, X ) ) ] )
% 1.25/1.68 , clause( 5263, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' )
% 1.25/1.68 , =( 'c_times'( 'c_HOL_Oinverse'( Y, X ), Y, X ), 'c_1' ) ] )
% 1.25/1.68 , clause( 5264, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.25/1.68 'c_times'( Y, Z, X ), 'c_times'( Y, T, X ) ) ), =( Z, T ), =( Y, 'c_0' )
% 1.25/1.68 ] )
% 1.25/1.68 , clause( 5265, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'(
% 1.25/1.68 'c_0', Y, X ), 'c_times'( 'c_0', Z, X ) ) ] )
% 1.25/1.68 , clause( 5266, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.25/1.68 'c_times'( Y, Z, X ), 'c_times'( T, Z, X ) ) ), =( Y, T ), =( Z, 'c_0' )
% 1.25/1.68 ] )
% 1.25/1.68 , clause( 5267, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'(
% 1.25/1.68 Y, 'c_0', X ), 'c_times'( Z, 'c_0', X ) ) ] )
% 1.25/1.68 , clause( 5268, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'(
% 1.25/1.68 'c_divide'( Y, Z, X ), X ), 'c_divide'( Z, Y, X ) ) ] )
% 1.25/1.68 , clause( 5269, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_HOL_Oinverse'( Y, X )
% 1.25/1.68 , 'c_1' ) ), =( Y, 'c_1' ) ] )
% 1.25/1.68 , clause( 5270, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'( 'c_1', X
% 1.25/1.68 ), 'c_1' ) ] )
% 1.25/1.68 , clause( 5271, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_HOL_Oinverse'( Y, X )
% 1.25/1.68 , 'c_HOL_Oinverse'( Z, X ) ) ), =( Y, Z ) ] )
% 1.25/1.68 , clause( 5272, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'(
% 1.25/1.68 'c_HOL_Oinverse'( Y, X ), X ), Y ) ] )
% 1.25/1.68 , clause( 5273, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.68 'c_less'( 'c_0', Y, X ) ), ~( 'c_less'( 'c_0', Z, X ) ), ~(
% 1.25/1.68 'c_lessequals'( 'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) )
% 1.25/1.68 , 'c_lessequals'( Y, Z, X ) ] )
% 1.25/1.68 , clause( 5274, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.68 'c_less'( 'c_0', Y, X ) ), ~( 'c_less'( 'c_0', Z, X ) ), ~(
% 1.25/1.68 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_HOL_Oinverse'( Z, X ),
% 1.25/1.68 'c_HOL_Oinverse'( Y, X ), X ) ] )
% 1.25/1.68 , clause( 5275, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.68 'c_less'( Y, 'c_0', X ) ), ~( 'c_less'( Z, 'c_0', X ) ), ~(
% 1.25/1.68 'c_lessequals'( 'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) )
% 1.25/1.68 , 'c_lessequals'( Y, Z, X ) ] )
% 1.25/1.68 , clause( 5276, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.68 'c_less'( Y, 'c_0', X ) ), ~( 'c_less'( Z, 'c_0', X ) ), ~(
% 1.25/1.68 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_HOL_Oinverse'( Z, X ),
% 1.25/1.68 'c_HOL_Oinverse'( Y, X ), X ) ] )
% 1.25/1.68 , clause( 5277, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.68 'c_less'( 'c_0', Y, X ) ), ~( 'c_less'( 'c_0', Z, X ) ), ~( 'c_less'(
% 1.25/1.68 'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) ), 'c_less'( Y, Z
% 1.25/1.68 , X ) ] )
% 1.25/1.68 , clause( 5278, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.68 'c_less'( Y, Z, X ) ), ~( 'c_less'( 'c_0', Y, X ) ), ~( 'c_less'( 'c_0',
% 1.25/1.68 Z, X ) ), 'c_less'( 'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X
% 1.25/1.68 ) ] )
% 1.25/1.68 , clause( 5279, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.68 'c_less'( Y, 'c_0', X ) ), ~( 'c_less'( Z, 'c_0', X ) ), ~( 'c_less'(
% 1.25/1.68 'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) ), 'c_less'( Y, Z
% 1.25/1.68 , X ) ] )
% 1.25/1.68 , clause( 5280, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.68 'c_less'( Y, Z, X ) ), ~( 'c_less'( Y, 'c_0', X ) ), ~( 'c_less'( Z,
% 1.25/1.68 'c_0', X ) ), 'c_less'( 'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X
% 1.25/1.68 ), X ) ] )
% 1.25/1.68 , clause( 5281, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'(
% 1.25/1.68 'c_uminus'( Y, X ), X ), 'c_uminus'( 'c_HOL_Oinverse'( Y, X ), X ) ) ] )
% 1.25/1.68 , clause( 5282, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'( 'c_times'(
% 1.25/1.68 Y, Z, X ), X ), 'c_times'( 'c_HOL_Oinverse'( Y, X ), 'c_HOL_Oinverse'( Z
% 1.25/1.68 , X ), X ) ) ] )
% 1.25/1.68 , clause( 5283, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.25/1.68 'c_HOL_Oinverse'( Y, X ), 'c_0', X ) ), 'c_less'( Y, 'c_0', X ) ] )
% 1.25/1.68 , clause( 5284, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0'
% 1.25/1.68 , X ) ), 'c_less'( 'c_HOL_Oinverse'( Y, X ), 'c_0', X ) ] )
% 1.25/1.68 , clause( 5285, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'(
% 1.25/1.68 'c_0', 'c_HOL_Oinverse'( Y, X ), X ) ), 'c_lessequals'( 'c_0', Y, X ) ]
% 1.25/1.68 )
% 1.25/1.68 , clause( 5286, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'(
% 1.25/1.68 'c_0', Y, X ) ), 'c_lessequals'( 'c_0', 'c_HOL_Oinverse'( Y, X ), X ) ]
% 1.25/1.68 )
% 1.25/1.68 , clause( 5287, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'(
% 1.25/1.68 'c_HOL_Oinverse'( Y, X ), 'c_0', X ) ), 'c_lessequals'( Y, 'c_0', X ) ]
% 1.25/1.68 )
% 1.25/1.68 , clause( 5288, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y
% 1.25/1.68 , 'c_0', X ) ), 'c_lessequals'( 'c_HOL_Oinverse'( Y, X ), 'c_0', X ) ] )
% 1.25/1.68 , clause( 5289, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_HOL_Oinverse'( Y, X )
% 1.25/1.68 , 'c_0' ) ), =( Y, 'c_0' ) ] )
% 1.25/1.68 , clause( 5290, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'( 'c_0', X
% 1.25/1.68 ), 'c_0' ) ] )
% 1.25/1.68 , clause( 5291, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.25/1.68 'c_HOL_Oinverse'( Y, X ), X ) ), 'c_less'( 'c_0', Y, X ) ] )
% 1.25/1.68 , clause( 5292, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y
% 1.25/1.68 , X ) ), 'c_less'( 'c_0', 'c_HOL_Oinverse'( Y, X ), X ) ] )
% 1.25/1.68 , clause( 5293, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0'
% 1.25/1.68 , X ) ), ~( 'c_lessequals'( 'c_1', 'c_divide'( Z, Y, X ), X ) ),
% 1.25/1.68 'c_lessequals'( Z, Y, X ) ] )
% 1.25/1.68 , clause( 5294, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0'
% 1.25/1.68 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ), 'c_lessequals'( 'c_1',
% 1.25/1.68 'c_divide'( Z, Y, X ), X ) ] )
% 1.25/1.68 , clause( 5295, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y
% 1.25/1.68 , X ) ), ~( 'c_lessequals'( 'c_1', 'c_divide'( Z, Y, X ), X ) ),
% 1.25/1.68 'c_lessequals'( Y, Z, X ) ] )
% 1.25/1.68 , clause( 5296, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y
% 1.25/1.68 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_1',
% 1.25/1.68 'c_divide'( Z, Y, X ), X ) ] )
% 1.25/1.68 , clause( 5297, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0'
% 1.25/1.68 , X ) ), ~( 'c_less'( 'c_1', 'c_divide'( Z, Y, X ), X ) ), 'c_less'( Z, Y
% 1.25/1.68 , X ) ] )
% 1.25/1.68 , clause( 5298, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z, X
% 1.25/1.68 ) ), ~( 'c_less'( Z, 'c_0', X ) ), 'c_less'( 'c_1', 'c_divide'( Y, Z, X
% 1.25/1.68 ), X ) ] )
% 1.25/1.68 , clause( 5299, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y
% 1.25/1.68 , X ) ), ~( 'c_less'( 'c_1', 'c_divide'( Z, Y, X ), X ) ), 'c_less'( Y, Z
% 1.25/1.68 , X ) ] )
% 1.25/1.68 , clause( 5300, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z, X
% 1.25/1.68 ) ), ~( 'c_less'( 'c_0', Y, X ) ), 'c_less'( 'c_1', 'c_divide'( Z, Y, X
% 1.25/1.68 ), X ) ] )
% 1.25/1.68 , clause( 5301, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_uminus'( Y,
% 1.25/1.68 X ), 'c_uminus'( Z, X ), X ), 'c_divide'( Y, Z, X ) ) ] )
% 1.25/1.68 , clause( 5302, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 'c_times'(
% 1.25/1.68 'c_uminus'( Y, X ), 'c_uminus'( Z, X ), X ), 'c_times'( Y, Z, X ) ) ] )
% 1.25/1.68 , clause( 5303, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.25/1.68 Y, 'c_times'( Y, Z, X ) ) ), =( Y, 'c_0' ), =( Z, 'c_1' ) ] )
% 1.25/1.68 , clause( 5304, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.25/1.68 'c_0', 'c_times'( 'c_0', Y, X ) ) ] )
% 1.25/1.68 , clause( 5305, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.25/1.68 'c_times'( Y, 'c_1', X ) ) ] )
% 1.25/1.68 , clause( 5306, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.25/1.68 'c_times'( Y, Z, X ), Y ) ), =( Y, 'c_0' ), =( Z, 'c_1' ) ] )
% 1.25/1.68 , clause( 5307, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.25/1.68 Y, 'c_times'( Z, Y, X ) ) ), =( Y, 'c_0' ), =( Z, 'c_1' ) ] )
% 1.25/1.68 , clause( 5308, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.25/1.68 'c_0', 'c_times'( Y, 'c_0', X ) ) ] )
% 1.25/1.68 , clause( 5309, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.25/1.68 'c_times'( 'c_1', Y, X ) ) ] )
% 1.25/1.68 , clause( 5310, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.25/1.68 'c_times'( Y, Z, X ), Z ) ), =( Z, 'c_0' ), =( Y, 'c_1' ) ] )
% 1.25/1.68 , clause( 5311, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_0',
% 1.25/1.68 'c_times'( 'c_0', Y, X ), X ), 'c_0' ) ] )
% 1.25/1.68 , clause( 5312, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'(
% 1.25/1.68 Y, 'c_times'( Y, Z, X ), X ), 'c_divide'( 'c_1', Z, X ) ) ] )
% 1.25/1.68 , clause( 5313, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_times'(
% 1.25/1.68 'c_0', Y, X ), 'c_0', X ), 'c_0' ) ] )
% 1.25/1.68 , clause( 5314, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'(
% 1.25/1.68 'c_times'( Y, Z, X ), Y, X ), Z ) ] )
% 1.25/1.68 , clause( 5315, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_times'(
% 1.25/1.68 'c_0', Y, X ), 'c_times'( 'c_0', Z, X ), X ), 'c_0' ) ] )
% 1.25/1.68 , clause( 5316, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'(
% 1.25/1.68 'c_times'( Y, Z, X ), 'c_times'( Y, T, X ), X ), 'c_divide'( Z, T, X ) )
% 1.25/1.68 ] )
% 1.25/1.68 , clause( 5317, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_0',
% 1.25/1.68 'c_times'( Y, 'c_0', X ), X ), 'c_0' ) ] )
% 1.25/1.68 , clause( 5318, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'(
% 1.25/1.68 Y, 'c_times'( Z, Y, X ), X ), 'c_divide'( 'c_1', Z, X ) ) ] )
% 1.25/1.68 , clause( 5319, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_times'( Y,
% 1.25/1.68 'c_0', X ), 'c_0', X ), 'c_0' ) ] )
% 1.25/1.68 , clause( 5320, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'(
% 1.25/1.68 'c_times'( Z, Y, X ), Y, X ), Z ) ] )
% 1.25/1.68 , clause( 5321, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_times'( Y,
% 1.25/1.68 'c_0', X ), 'c_times'( Z, 'c_0', X ), X ), 'c_0' ) ] )
% 1.25/1.68 , clause( 5322, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'(
% 1.25/1.68 'c_times'( Z, Y, X ), 'c_times'( T, Y, X ), X ), 'c_divide'( Z, T, X ) )
% 1.25/1.68 ] )
% 1.25/1.68 , clause( 5323, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.25/1.68 , ~( =( 'c_times'( Y, Z, X ), 'c_0' ) ), =( Z, 'c_0' ), =( Y, 'c_0' ) ]
% 1.25/1.68 )
% 1.25/1.68 , clause( 5324, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 'c_times'(
% 1.25/1.68 'c_uminus'( Y, X ), Z, X ), 'c_uminus'( 'c_times'( Y, Z, X ), X ) ) ] )
% 1.25/1.68 , clause( 5325, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 'c_times'( Y
% 1.25/1.68 , 'c_uminus'( Z, X ), X ), 'c_uminus'( 'c_times'( Y, Z, X ), X ) ) ] )
% 1.25/1.68 , clause( 5326, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.25/1.68 =( 'c_times'( 'c_0', Y, X ), 'c_0' ) ] )
% 1.25/1.68 , clause( 5327, [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.25/1.68 =( 'c_times'( Y, 'c_0', X ), 'c_0' ) ] )
% 1.25/1.68 , clause( 5328, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.25/1.68 'c_lessequals'( 'c_1', 'c_0', X ) ) ] )
% 1.25/1.68 , clause( 5329, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.25/1.68 'c_less'( 'c_1', 'c_0', X ) ) ] )
% 1.25/1.68 , clause( 5330, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_divide'(
% 1.25/1.68 'c_1', Y, X ), 'c_0' ) ), =( Y, 'c_0' ) ] )
% 1.25/1.68 , clause( 5331, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =( 'c_divide'( 'c_1'
% 1.25/1.68 , 'c_0', X ), 'c_0' ) ] )
% 1.25/1.68 , clause( 5332, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_1', 'c_divide'( Y, Z
% 1.25/1.68 , X ) ) ), =( Y, Z ) ] )
% 1.25/1.68 , clause( 5333, [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ),
% 1.25/1.68 ~( =( 'c_1', 'c_0' ) ) ] )
% 1.25/1.68 , clause( 5334, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.68 'c_less'( 'c_0', 'c_1', X ) ] )
% 1.25/1.68 , clause( 5335, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' )
% 1.25/1.68 , =( 'c_times'( Y, 'c_HOL_Oinverse'( Y, X ), X ), 'c_1' ) ] )
% 1.25/1.68 , clause( 5336, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'(
% 1.25/1.68 Y, 'c_divide'( Z, T, X ), X ), 'c_divide'( 'c_times'( Y, Z, X ), T, X ) )
% 1.25/1.68 ] )
% 1.25/1.68 , clause( 5337, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'(
% 1.25/1.68 'c_divide'( Y, Z, X ), T, X ), 'c_divide'( 'c_times'( Y, T, X ), Z, X ) )
% 1.25/1.68 ] )
% 1.25/1.68 , clause( 5338, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( 'c_divide'( Y,
% 1.25/1.68 'c_0', X ), 'c_0', X ), 'c_0' ) ] )
% 1.25/1.68 , clause( 5339, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_times'(
% 1.25/1.68 'c_divide'( Z, Y, X ), Y, X ), Z ) ] )
% 1.25/1.68 , clause( 5340, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( 'c_0',
% 1.25/1.68 'c_divide'( Y, 'c_0', X ), X ), 'c_0' ) ] )
% 1.25/1.68 , clause( 5341, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_times'( Y
% 1.25/1.68 , 'c_divide'( Z, Y, X ), X ), Z ) ] )
% 1.25/1.68 , clause( 5342, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_0',
% 1.25/1.68 'c_divide'( 'c_1', Y, X ) ) ), =( Y, 'c_0' ) ] )
% 1.25/1.68 , clause( 5343, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =( 'c_0', 'c_divide'(
% 1.25/1.68 'c_1', 'c_0', X ) ) ] )
% 1.25/1.68 , clause( 5344, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'(
% 1.25/1.68 'c_0', 'c_divide'( 'c_1', Y, X ), X ) ), 'c_lessequals'( 'c_0', Y, X ) ]
% 1.25/1.68 )
% 1.25/1.68 , clause( 5345, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'(
% 1.25/1.68 'c_0', Y, X ) ), 'c_lessequals'( 'c_0', 'c_divide'( 'c_1', Y, X ), X ) ]
% 1.25/1.68 )
% 1.25/1.68 , clause( 5346, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.68 'c_lessequals'( 'c_0', 'c_1', X ) ] )
% 1.25/1.68 , clause( 5347, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.25/1.68 'c_divide'( 'c_1', Y, X ), X ) ), 'c_less'( 'c_0', Y, X ) ] )
% 1.25/1.68 , clause( 5348, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.68 ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y
% 1.25/1.68 , X ) ), 'c_less'( 'c_0', 'c_divide'( 'c_1', Y, X ), X ) ] )
% 1.25/1.68 , clause( 5349, [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_uminus'(
% 1.25/1.68 'c_SetInterval_OatLeast'( Y, X ), 'tc_set'( X ) ),
% 1.25/1.68 'c_SetInterval_OlessThan'( Y, X ) ) ] )
% 1.25/1.68 , clause( 5350, [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_uminus'(
% 1.25/1.68 'c_SetInterval_OatMost'( Y, X ), 'tc_set'( X ) ),
% 1.25/1.68 'c_SetInterval_OgreaterThan'( Y, X ) ) ] )
% 1.25/1.68 , clause( 5351, [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_uminus'(
% 1.25/1.68 'c_SetInterval_OgreaterThan'( Y, X ), 'tc_set'( X ) ),
% 1.25/1.68 'c_SetInterval_OatMost'( Y, X ) ) ] )
% 1.25/1.68 , clause( 5352, [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_uminus'(
% 1.25/1.68 'c_SetInterval_OlessThan'( Y, X ), 'tc_set'( X ) ),
% 1.25/1.68 'c_SetInterval_OatLeast'( Y, X ) ) ] )
% 1.25/1.68 , clause( 5353, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_less'( Y, Z, X
% 1.25/1.68 ) ), =( 'c_SetInterval_OatLeastAtMost'( Z, Y, X ), 'c_emptyset' ) ] )
% 1.25/1.68 , clause( 5354, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.25/1.68 'c_SetInterval_OatLeastAtMost'( Z, T, X ), X ) ), 'c_lessequals'( Z, Y, X
% 1.25/1.68 ) ] )
% 1.25/1.68 , clause( 5355, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.25/1.68 'c_SetInterval_OatLeastAtMost'( Z, T, X ), X ) ), 'c_lessequals'( Y, T, X
% 1.25/1.68 ) ] )
% 1.25/1.68 , clause( 5356, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, Z
% 1.25/1.68 , X ) ), ~( 'c_lessequals'( T, Y, X ) ), 'c_in'( Y,
% 1.25/1.68 'c_SetInterval_OatLeastAtMost'( T, Z, X ), X ) ] )
% 1.25/1.68 , clause( 5357, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.25/1.68 'c_SetInterval_OatLeastAtMost'( Y, Y, X ), 'c_insert'( Y, 'c_emptyset', X
% 1.25/1.68 ) ) ] )
% 1.25/1.68 , clause( 5358, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y
% 1.25/1.68 , Z, X ) ), =( 'c_SetInterval_OatLeastLessThan'( Z, Y, X ), 'c_emptyset'
% 1.25/1.68 ) ] )
% 1.25/1.68 , clause( 5359, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.25/1.68 'c_SetInterval_OatLeastLessThan'( Z, T, X ), X ) ), 'c_lessequals'( Z, Y
% 1.25/1.68 , X ) ] )
% 1.25/1.68 , clause( 5360, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.25/1.68 'c_SetInterval_OatLeastLessThan'( Z, T, X ), X ) ), 'c_less'( Y, T, X ) ]
% 1.25/1.68 )
% 1.25/1.68 , clause( 5361, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X )
% 1.25/1.68 ), ~( 'c_lessequals'( T, Y, X ) ), 'c_in'( Y,
% 1.25/1.68 'c_SetInterval_OatLeastLessThan'( T, Z, X ), X ) ] )
% 1.25/1.68 , clause( 5362, [ =( 'c_SetInterval_OatLeastLessThan'( X, 'c_Suc'( X ),
% 1.25/1.68 'tc_nat' ), 'c_insert'( X, 'c_emptyset', 'tc_nat' ) ) ] )
% 1.25/1.68 , clause( 5363, [ =( 'c_SetInterval_OatLeast'( 'c_0', 'tc_nat' ), 'c_UNIV'
% 1.25/1.68 ) ] )
% 1.25/1.68 , clause( 5364, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 1.25/1.68 'c_SetInterval_OatLeast'( Y, X ), 'c_SetInterval_OatLeast'( Z, X ) ) ),
% 1.25/1.68 =( Y, Z ) ] )
% 1.25/1.68 , clause( 5365, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.25/1.68 'c_SetInterval_OatLeast'( Z, X ), X ) ), 'c_lessequals'( Z, Y, X ) ] )
% 1.25/1.68 , clause( 5366, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, Z
% 1.25/1.68 , X ) ), 'c_in'( Z, 'c_SetInterval_OatLeast'( Y, X ), X ) ] )
% 1.25/1.68 , clause( 5367, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'(
% 1.25/1.68 'c_SetInterval_OatLeast'( Y, X ), 'c_SetInterval_OatLeast'( Z, X ),
% 1.25/1.68 'tc_set'( X ) ) ), 'c_lessequals'( Z, Y, X ) ] )
% 1.25/1.68 , clause( 5368, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y
% 1.25/1.68 , Z, X ) ), 'c_lessequals'( 'c_SetInterval_OatLeast'( Z, X ),
% 1.25/1.68 'c_SetInterval_OatLeast'( Y, X ), 'tc_set'( X ) ) ] )
% 1.25/1.68 , clause( 5369, [ =( 'c_SetInterval_OatMost'( 'c_0', 'tc_nat' ), 'c_insert'(
% 1.25/1.68 'c_0', 'c_emptyset', 'tc_nat' ) ) ] )
% 1.25/1.68 , clause( 5370, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 1.25/1.68 'c_SetInterval_OatMost'( Y, X ), 'c_SetInterval_OatMost'( Z, X ) ) ), =(
% 1.25/1.68 Y, Z ) ] )
% 1.25/1.68 , clause( 5371, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.25/1.68 'c_SetInterval_OatMost'( Z, X ), X ) ), 'c_lessequals'( Y, Z, X ) ] )
% 1.25/1.68 , clause( 5372, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, Z
% 1.25/1.68 , X ) ), 'c_in'( Y, 'c_SetInterval_OatMost'( Z, X ), X ) ] )
% 1.25/1.68 , clause( 5373, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'(
% 1.25/1.68 'c_SetInterval_OatMost'( Y, X ), 'c_SetInterval_OatMost'( Z, X ),
% 1.25/1.68 'tc_set'( X ) ) ), 'c_lessequals'( Y, Z, X ) ] )
% 1.25/1.68 , clause( 5374, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y
% 1.25/1.68 , Z, X ) ), 'c_lessequals'( 'c_SetInterval_OatMost'( Y, X ),
% 1.25/1.68 'c_SetInterval_OatMost'( Z, X ), 'tc_set'( X ) ) ] )
% 1.25/1.68 , clause( 5375, [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OatLeastAtMost'(
% 1.25/1.68 X, Y, 'tc_nat' ), 'tc_nat' ), 'c_minus'( 'c_Suc'( Y ), X, 'tc_nat' ) ) ]
% 1.25/1.68 )
% 1.25/1.68 , clause( 5376, [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OatLeastAtMost'(
% 1.25/1.68 X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_IntDef_Onat'( 'c_plus'(
% 1.25/1.68 'c_minus'( Y, X, 'tc_IntDef_Oint' ), 'c_1', 'tc_IntDef_Oint' ) ) ) ] )
% 1.25/1.68 , clause( 5377, [ =( 'c_Finite__Set_Ocard'(
% 1.25/1.68 'c_SetInterval_OatLeastLessThan'( X, Y, 'tc_nat' ), 'tc_nat' ), 'c_minus'(
% 1.25/1.68 Y, X, 'tc_nat' ) ) ] )
% 1.25/1.68 , clause( 5378, [ =( 'c_Finite__Set_Ocard'(
% 1.25/1.68 'c_SetInterval_OatLeastLessThan'( X, Y, 'tc_IntDef_Oint' ),
% 1.25/1.68 'tc_IntDef_Oint' ), 'c_IntDef_Onat'( 'c_minus'( Y, X, 'tc_IntDef_Oint' )
% 1.25/1.68 ) ) ] )
% 1.25/1.68 , clause( 5379, [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OatMost'( X,
% 1.25/1.68 'tc_nat' ), 'tc_nat' ), 'c_Suc'( X ) ) ] )
% 1.25/1.68 , clause( 5380, [ =( 'c_Finite__Set_Ocard'(
% 1.25/1.68 'c_SetInterval_OgreaterThanAtMost'( X, Y, 'tc_nat' ), 'tc_nat' ),
% 1.25/1.68 'c_minus'( Y, X, 'tc_nat' ) ) ] )
% 1.25/1.68 , clause( 5381, [ =( 'c_Finite__Set_Ocard'(
% 1.25/1.68 'c_SetInterval_OgreaterThanAtMost'( X, Y, 'tc_IntDef_Oint' ),
% 1.25/1.68 'tc_IntDef_Oint' ), 'c_IntDef_Onat'( 'c_minus'( Y, X, 'tc_IntDef_Oint' )
% 1.25/1.68 ) ) ] )
% 1.25/1.68 , clause( 5382, [ =( 'c_Finite__Set_Ocard'(
% 1.25/1.68 'c_SetInterval_OgreaterThanLessThan'( X, Y, 'tc_nat' ), 'tc_nat' ),
% 1.25/1.68 'c_minus'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ] )
% 1.25/1.68 , clause( 5383, [ =( 'c_Finite__Set_Ocard'(
% 1.25/1.68 'c_SetInterval_OgreaterThanLessThan'( X, Y, 'tc_IntDef_Oint' ),
% 1.25/1.68 'tc_IntDef_Oint' ), 'c_IntDef_Onat'( 'c_minus'( Y, 'c_plus'( X, 'c_1',
% 1.25/1.68 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ) ] )
% 1.25/1.68 , clause( 5384, [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OlessThan'( X,
% 1.25/1.68 'tc_nat' ), 'tc_nat' ), X ) ] )
% 1.25/1.68 , clause( 5385, [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y
% 1.25/1.68 , Z, X ) ), =( 'c_SetInterval_OgreaterThanAtMost'( Z, Y, X ),
% 1.25/1.68 'c_emptyset' ) ] )
% 1.25/1.68 , clause( 5386, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.25/1.68 'c_SetInterval_OgreaterThanAtMost'( Z, T, X ), X ) ), 'c_less'( Z, Y, X )
% 1.25/1.68 ] )
% 1.25/1.68 , clause( 5387, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.25/1.68 'c_SetInterval_OgreaterThanAtMost'( Z, T, X ), X ) ), 'c_lessequals'( Y,
% 1.25/1.68 T, X ) ] )
% 1.25/1.68 , clause( 5388, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X )
% 1.25/1.68 ), ~( 'c_lessequals'( Z, T, X ) ), 'c_in'( Z,
% 1.25/1.68 'c_SetInterval_OgreaterThanAtMost'( Y, T, X ), X ) ] )
% 1.25/1.68 , clause( 5389, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.25/1.68 'c_SetInterval_OgreaterThanLessThan'( Z, T, X ), X ) ), 'c_less'( Z, Y, X
% 1.25/1.68 ) ] )
% 1.25/1.68 , clause( 5390, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.25/1.68 'c_SetInterval_OgreaterThanLessThan'( Z, T, X ), X ) ), 'c_less'( Y, T, X
% 1.25/1.68 ) ] )
% 1.25/1.68 , clause( 5391, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X )
% 1.25/1.68 ), ~( 'c_less'( T, Y, X ) ), 'c_in'( Y,
% 1.25/1.68 'c_SetInterval_OgreaterThanLessThan'( T, Z, X ), X ) ] )
% 1.25/1.68 , clause( 5392, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 1.25/1.68 'c_SetInterval_OgreaterThan'( Y, X ), 'c_SetInterval_OgreaterThan'( Z, X
% 1.25/1.68 ) ) ), =( Y, Z ) ] )
% 1.25/1.68 , clause( 5393, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.25/1.68 'c_SetInterval_OgreaterThan'( Z, X ), X ) ), 'c_less'( Z, Y, X ) ] )
% 1.25/1.68 , clause( 5394, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X )
% 1.25/1.68 ), 'c_in'( Z, 'c_SetInterval_OgreaterThan'( Y, X ), X ) ] )
% 1.25/1.68 , clause( 5395, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 1.25/1.68 'c_SetInterval_OgreaterThan'( Y, X ), 'c_SetInterval_OgreaterThan'( Z, X
% 1.25/1.68 ), 'tc_set'( X ) ) ), 'c_lessequals'( Z, Y, X ) ] )
% 1.25/1.68 , clause( 5396, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 1.25/1.68 Y, Z, X ) ), 'c_lessequals'( 'c_SetInterval_OgreaterThan'( Z, X ),
% 1.25/1.68 'c_SetInterval_OgreaterThan'( Y, X ), 'tc_set'( X ) ) ] )
% 1.25/1.68 , clause( 5397, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 1.25/1.68 Y, Z, X ) ), =( 'c_minus'( 'c_SetInterval_OatLeastLessThan'( Y, T, X ),
% 1.25/1.68 'c_SetInterval_OatLeastLessThan'( Y, Z, X ), 'tc_set'( X ) ),
% 1.25/1.68 'c_SetInterval_OatLeastLessThan'( Z, T, X ) ) ] )
% 1.25/1.68 , clause( 5398, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 1.25/1.68 'c_SetInterval_OatLeastLessThan'( Y, Z, X ),
% 1.25/1.68 'c_SetInterval_OatLeastLessThan'( T, U, X ), 'tc_set'( X ) ) ),
% 1.25/1.68 'c_lessequals'( T, Y, X ), 'c_lessequals'( Z, Y, X ) ] )
% 1.25/1.68 , clause( 5399, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 1.25/1.68 'c_SetInterval_OatLeastLessThan'( Y, Z, X ),
% 1.25/1.68 'c_SetInterval_OatLeastLessThan'( T, U, X ), 'tc_set'( X ) ) ),
% 1.25/1.68 'c_lessequals'( Z, U, X ), 'c_lessequals'( Z, Y, X ) ] )
% 1.25/1.68 , clause( 5400, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 1.25/1.68 Y, Z, X ) ), 'c_lessequals'( 'c_SetInterval_OatLeastLessThan'( Z, Y, X )
% 1.25/1.68 , 'c_SetInterval_OatLeastLessThan'( T, U, X ), 'tc_set'( X ) ) ] )
% 1.25/1.68 , clause( 5401, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 1.25/1.68 Y, Z, X ) ), ~( 'c_lessequals'( T, U, X ) ), 'c_lessequals'(
% 1.25/1.68 'c_SetInterval_OatLeastLessThan'( U, Y, X ),
% 1.25/1.68 'c_SetInterval_OatLeastLessThan'( T, Z, X ), 'tc_set'( X ) ) ] )
% 1.25/1.68 , clause( 5402, [ =( 'c_SetInterval_OlessThan'( 'c_0', 'tc_nat' ),
% 1.25/1.68 'c_emptyset' ) ] )
% 1.25/1.68 , clause( 5403, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 1.25/1.68 'c_SetInterval_OlessThan'( Y, X ), 'c_SetInterval_OlessThan'( Z, X ) ) )
% 1.25/1.68 , =( Y, Z ) ] )
% 1.25/1.68 , clause( 5404, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.25/1.68 'c_SetInterval_OlessThan'( Z, X ), X ) ), 'c_less'( Y, Z, X ) ] )
% 1.25/1.68 , clause( 5405, [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X )
% 1.25/1.68 ), 'c_in'( Y, 'c_SetInterval_OlessThan'( Z, X ), X ) ] )
% 1.25/1.68 , clause( 5406, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 1.25/1.68 'c_SetInterval_OlessThan'( Y, X ), 'c_SetInterval_OlessThan'( Z, X ),
% 1.25/1.68 'tc_set'( X ) ) ), 'c_lessequals'( Y, Z, X ) ] )
% 1.25/1.68 , clause( 5407, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 1.25/1.68 Y, Z, X ) ), 'c_lessequals'( 'c_SetInterval_OlessThan'( Y, X ),
% 1.25/1.68 'c_SetInterval_OlessThan'( Z, X ), 'tc_set'( X ) ) ] )
% 1.25/1.68 , clause( 5408, [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_minus'(
% 1.25/1.68 'c_insert'( Y, 'c_emptyset', X ), 'c_SetInterval_OlessThan'( Y, X ),
% 1.25/1.68 'tc_set'( X ) ), 'c_insert'( Y, 'c_emptyset', X ) ) ] )
% 1.25/1.68 , clause( 5409, [ =( 'c_uminus'( 'c_minus'( X, Y, 'tc_set'( Z ) ), 'tc_set'(
% 1.25/1.68 Z ) ), 'c_union'( 'c_uminus'( X, 'tc_set'( Z ) ), Y, Z ) ) ] )
% 1.25/1.68 , clause( 5410, [ =( 'c_uminus'( 'c_inter'( X, Y, Z ), 'tc_set'( Z ) ),
% 1.25/1.68 'c_union'( 'c_uminus'( X, 'tc_set'( Z ) ), 'c_uminus'( Y, 'tc_set'( Z ) )
% 1.25/1.68 , Z ) ) ] )
% 1.25/1.68 , clause( 5411, [ =( 'c_uminus'( 'c_UNIV', 'tc_set'( X ) ), 'c_emptyset' )
% 1.25/1.68 ] )
% 1.25/1.68 , clause( 5412, [ =( 'c_uminus'( 'c_union'( X, Y, Z ), 'tc_set'( Z ) ),
% 1.25/1.68 'c_inter'( 'c_uminus'( X, 'tc_set'( Z ) ), 'c_uminus'( Y, 'tc_set'( Z ) )
% 1.25/1.68 , Z ) ) ] )
% 1.25/1.68 , clause( 5413, [ =( 'c_inter'( 'c_uminus'( X, 'tc_set'( Y ) ), X, Y ),
% 1.25/1.68 'c_emptyset' ) ] )
% 1.25/1.68 , clause( 5414, [ =( 'c_inter'( X, 'c_uminus'( X, 'tc_set'( Y ) ), Y ),
% 1.25/1.68 'c_emptyset' ) ] )
% 1.25/1.68 , clause( 5415, [ =( 'c_uminus'( 'c_emptyset', 'tc_set'( X ) ), 'c_UNIV' )
% 1.25/1.68 ] )
% 1.25/1.68 , clause( 5416, [ ~( =( 'c_uminus'( X, 'tc_set'( Y ) ), 'c_uminus'( Z,
% 1.25/1.68 'tc_set'( Y ) ) ) ), =( X, Z ) ] )
% 1.25/1.68 , clause( 5417, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_uminus'( Y,
% 1.25/1.68 'tc_set'( Z ) ), Z ) ) ] )
% 1.25/1.68 , clause( 5418, [ 'c_in'( X, Y, Z ), 'c_in'( X, 'c_uminus'( Y, 'tc_set'( Z
% 1.25/1.68 ) ), Z ) ] )
% 1.25/1.68 , clause( 5419, [ ~( 'c_lessequals'( 'c_uminus'( X, 'tc_set'( Y ) ),
% 1.25/1.68 'c_uminus'( Z, 'tc_set'( Y ) ), 'tc_set'( Y ) ) ), 'c_lessequals'( Z, X,
% 1.25/1.68 'tc_set'( Y ) ) ] )
% 1.25/1.68 , clause( 5420, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ),
% 1.25/1.68 'c_lessequals'( 'c_uminus'( Y, 'tc_set'( Z ) ), 'c_uminus'( X, 'tc_set'(
% 1.25/1.68 Z ) ), 'tc_set'( Z ) ) ] )
% 1.25/1.68 , clause( 5421, [ =( 'c_minus'( X, 'c_uminus'( Y, 'tc_set'( Z ) ), 'tc_set'(
% 1.25/1.68 Z ) ), 'c_inter'( X, Y, Z ) ) ] )
% 1.25/1.68 , clause( 5422, [ =( 'c_minus'( X, 'c_UNIV', 'tc_set'( Y ) ), 'c_emptyset'
% 1.25/1.68 ) ] )
% 1.25/1.68 , clause( 5423, [ =( 'c_minus'( X, X, 'tc_set'( Y ) ), 'c_emptyset' ) ] )
% 1.25/1.68 , clause( 5424, [ =( 'c_inter'( X, 'c_minus'( Y, X, 'tc_set'( Z ) ), Z ),
% 1.25/1.68 'c_emptyset' ) ] )
% 1.25/1.68 , clause( 5425, [ =( 'c_minus'( X, 'c_emptyset', 'tc_set'( Y ) ), X ) ] )
% 1.25/1.68 , clause( 5426, [ ~( =( 'c_minus'( X, Y, 'tc_set'( Z ) ), 'c_emptyset' ) )
% 1.25/1.68 , 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 1.25/1.68 , clause( 5427, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), =( 'c_minus'(
% 1.25/1.68 X, Y, 'tc_set'( Z ) ), 'c_emptyset' ) ] )
% 1.25/1.68 , clause( 5428, [ =( 'c_minus'( 'c_minus'( X, Y, 'tc_set'( Z ) ), Y,
% 1.25/1.68 'tc_set'( Z ) ), 'c_minus'( X, Y, 'tc_set'( Z ) ) ) ] )
% 1.25/1.68 , clause( 5429, [ ~( 'c_in'( X, 'c_minus'( Y, Z, 'tc_set'( T ) ), T ) ),
% 1.25/1.68 'c_in'( X, Y, T ) ] )
% 1.25/1.68 , clause( 5430, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_minus'( T, Y,
% 1.25/1.68 'tc_set'( Z ) ), Z ) ) ] )
% 1.25/1.68 , clause( 5431, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, T, Z ), 'c_in'( X,
% 1.25/1.68 'c_minus'( Y, T, 'tc_set'( Z ) ), Z ) ] )
% 1.25/1.68 , clause( 5432, [ 'c_in'( X, Y, Z ), =( 'c_minus'( Y, 'c_insert'( X, T, Z )
% 1.25/1.68 , 'tc_set'( Z ) ), 'c_minus'( Y, T, 'tc_set'( Z ) ) ) ] )
% 1.25/1.68 , clause( 5433, [ ~( =( 'c_inter'( X, Y, Z ), 'c_UNIV' ) ), =( X, 'c_UNIV'
% 1.25/1.68 ) ] )
% 1.25/1.68 , clause( 5434, [ ~( =( 'c_inter'( X, Y, Z ), 'c_UNIV' ) ), =( Y, 'c_UNIV'
% 1.25/1.68 ) ] )
% 1.25/1.68 , clause( 5435, [ =( 'c_inter'( 'c_UNIV', 'c_UNIV', X ), 'c_UNIV' ) ] )
% 1.25/1.68 , clause( 5436, [ =( 'c_inter'( 'c_UNIV', X, Y ), X ) ] )
% 1.25/1.68 , clause( 5437, [ =( 'c_inter'( X, 'c_UNIV', Y ), X ) ] )
% 1.25/1.68 , clause( 5438, [ =( 'c_inter'( X, X, Y ), X ) ] )
% 1.25/1.68 , clause( 5439, [ =( 'c_inter'( 'c_emptyset', X, Y ), 'c_emptyset' ) ] )
% 1.25/1.68 , clause( 5440, [ =( 'c_inter'( X, 'c_emptyset', Y ), 'c_emptyset' ) ] )
% 1.25/1.68 , clause( 5441, [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Y,
% 1.25/1.68 T ) ] )
% 1.25/1.68 , clause( 5442, [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Z,
% 1.25/1.68 T ) ] )
% 1.25/1.68 , clause( 5443, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), 'c_in'( X
% 1.25/1.68 , 'c_inter'( T, Y, Z ), Z ) ] )
% 1.25/1.68 , clause( 5444, [ ~( 'c_lessequals'( X, 'c_inter'( Y, Z, T ), 'tc_set'( T )
% 1.25/1.68 ) ), 'c_lessequals'( X, Y, 'tc_set'( T ) ) ] )
% 1.25/1.68 , clause( 5445, [ ~( 'c_lessequals'( X, 'c_inter'( Y, Z, T ), 'tc_set'( T )
% 1.25/1.68 ) ), 'c_lessequals'( X, Z, 'tc_set'( T ) ) ] )
% 1.25/1.68 , clause( 5446, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~(
% 1.25/1.68 'c_lessequals'( X, T, 'tc_set'( Z ) ) ), 'c_lessequals'( X, 'c_inter'( T
% 1.25/1.68 , Y, Z ), 'tc_set'( Z ) ) ] )
% 1.25/1.68 , clause( 5447, [ =( 'c_Inter'( 'c_UNIV', X ), 'c_emptyset' ) ] )
% 1.25/1.68 , clause( 5448, [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( =( 'c_Inter'( Y, Z
% 1.25/1.68 ), 'c_UNIV' ) ), =( X, 'c_UNIV' ) ] )
% 1.25/1.68 , clause( 5449, [ 'c_in'( 'c_Main_OInter__UNIV__conv__1__1'( X, Y ), X,
% 1.25/1.68 'tc_set'( Y ) ), =( 'c_Inter'( X, Y ), 'c_UNIV' ) ] )
% 1.25/1.68 , clause( 5450, [ ~( =( 'c_Main_OInter__UNIV__conv__1__1'( X, Y ), 'c_UNIV'
% 1.25/1.68 ) ), =( 'c_Inter'( X, Y ), 'c_UNIV' ) ] )
% 1.25/1.68 , clause( 5451, [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( =( 'c_UNIV',
% 1.25/1.68 'c_Inter'( Y, Z ) ) ), =( X, 'c_UNIV' ) ] )
% 1.25/1.68 , clause( 5452, [ 'c_in'( 'c_Main_OInter__UNIV__conv__2__1'( X, Y ), X,
% 1.25/1.68 'tc_set'( Y ) ), =( 'c_UNIV', 'c_Inter'( X, Y ) ) ] )
% 1.25/1.68 , clause( 5453, [ ~( =( 'c_Main_OInter__UNIV__conv__2__1'( X, Y ), 'c_UNIV'
% 1.25/1.68 ) ), =( 'c_UNIV', 'c_Inter'( X, Y ) ) ] )
% 1.25/1.68 , clause( 5454, [ =( 'c_Inter'( 'c_emptyset', X ), 'c_UNIV' ) ] )
% 1.25/1.68 , clause( 5455, [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_in'( T,
% 1.25/1.68 'c_Inter'( Y, Z ), Z ) ), 'c_in'( T, X, Z ) ] )
% 1.25/1.68 , clause( 5456, [ 'c_in'( X, 'c_Inter'( Y, Z ), Z ), 'c_in'(
% 1.25/1.68 'c_Main_OInter__iff__1'( X, Y, Z ), Y, 'tc_set'( Z ) ) ] )
% 1.25/1.68 , clause( 5457, [ ~( 'c_in'( X, 'c_Main_OInter__iff__1'( X, Y, Z ), Z ) ),
% 1.25/1.68 'c_in'( X, 'c_Inter'( Y, Z ), Z ) ] )
% 1.25/1.68 , clause( 5458, [ =( 'c_Inter'( 'c_insert'( X, Y, 'tc_set'( Z ) ), Z ),
% 1.25/1.68 'c_inter'( X, 'c_Inter'( Y, Z ), Z ) ) ] )
% 1.25/1.68 , clause( 5459, [ =( 'c_Pow'( 'c_inter'( X, Y, Z ), Z ), 'c_inter'( 'c_Pow'(
% 1.25/1.68 X, Z ), 'c_Pow'( Y, Z ), 'tc_set'( Z ) ) ) ] )
% 1.25/1.68 , clause( 5460, [ =( 'c_Pow'( 'c_UNIV', X ), 'c_UNIV' ) ] )
% 1.25/1.68 , clause( 5461, [ =( 'c_Pow'( 'c_emptyset', X ), 'c_insert'( 'c_emptyset',
% 1.25/1.68 'c_emptyset', 'tc_set'( X ) ) ) ] )
% 1.25/1.68 , clause( 5462, [ ~( 'c_in'( X, 'c_Pow'( Y, Z ), 'tc_set'( Z ) ) ),
% 1.25/1.68 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 1.25/1.68 , clause( 5463, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_in'( X,
% 1.25/1.68 'c_Pow'( Y, Z ), 'tc_set'( Z ) ) ] )
% 1.25/1.68 , clause( 5464, [ ~( =( 'c_UNIV', 'c_emptyset' ) ) ] )
% 1.25/1.68 , clause( 5465, [ =( 'c_union'( 'c_minus'( X, Y, 'tc_set'( Z ) ), Y, Z ),
% 1.25/1.68 'c_union'( X, Y, Z ) ) ] )
% 1.25/1.68 , clause( 5466, [ =( 'c_union'( X, 'c_minus'( Y, X, 'tc_set'( Z ) ), Z ),
% 1.25/1.68 'c_union'( X, Y, Z ) ) ] )
% 1.25/1.68 , clause( 5467, [ =( 'c_union'( 'c_UNIV', X, Y ), 'c_UNIV' ) ] )
% 1.25/1.68 , clause( 5468, [ =( 'c_union'( X, 'c_UNIV', Y ), 'c_UNIV' ) ] )
% 1.25/1.68 , clause( 5469, [ =( 'c_union'( X, X, Y ), X ) ] )
% 1.25/1.68 , clause( 5470, [ ~( =( 'c_union'( X, Y, Z ), 'c_emptyset' ) ), =( X,
% 1.25/1.68 'c_emptyset' ) ] )
% 1.25/1.68 , clause( 5471, [ ~( =( 'c_union'( X, Y, Z ), 'c_emptyset' ) ), =( Y,
% 1.25/1.68 'c_emptyset' ) ] )
% 1.25/1.68 , clause( 5472, [ =( 'c_union'( 'c_emptyset', 'c_emptyset', X ),
% 1.25/1.68 'c_emptyset' ) ] )
% 1.25/1.68 , clause( 5473, [ =( 'c_union'( 'c_emptyset', X, Y ), X ) ] )
% 1.25/1.68 , clause( 5474, [ =( 'c_union'( X, 'c_emptyset', Y ), X ) ] )
% 1.25/1.68 , clause( 5475, [ ~( 'c_in'( X, 'c_union'( Y, Z, T ), T ) ), 'c_in'( X, Z,
% 1.25/1.68 T ), 'c_in'( X, Y, T ) ] )
% 1.25/1.68 , clause( 5476, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( Y, T, Z ),
% 1.25/1.68 Z ) ] )
% 1.25/1.68 , clause( 5477, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( T, Y, Z ),
% 1.25/1.68 Z ) ] )
% 1.25/1.68 , clause( 5478, [ =( 'c_union'( 'c_insert'( X, Y, Z ), T, Z ), 'c_insert'(
% 1.25/1.68 X, 'c_union'( Y, T, Z ), Z ) ) ] )
% 1.25/1.68 , clause( 5479, [ =( 'c_union'( X, 'c_insert'( Y, Z, T ), T ), 'c_insert'(
% 1.25/1.68 Y, 'c_union'( X, Z, T ), T ) ) ] )
% 1.25/1.68 , clause( 5480, [ ~( 'c_lessequals'( 'c_union'( X, Y, Z ), T, 'tc_set'( Z )
% 1.25/1.68 ) ), 'c_lessequals'( X, T, 'tc_set'( Z ) ) ] )
% 1.25/1.68 , clause( 5481, [ ~( 'c_lessequals'( 'c_union'( X, Y, Z ), T, 'tc_set'( Z )
% 1.25/1.68 ) ), 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ] )
% 1.25/1.68 , clause( 5482, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~(
% 1.25/1.68 'c_lessequals'( T, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_union'( T, X
% 1.25/1.68 , Z ), Y, 'tc_set'( Z ) ) ] )
% 1.25/1.68 , clause( 5483, [ =( 'c_Union'( 'c_Pow'( X, Y ), Y ), X ) ] )
% 1.25/1.68 , clause( 5484, [ =( 'c_Union'( 'c_UNIV', X ), 'c_UNIV' ) ] )
% 1.25/1.68 , clause( 5485, [ =( 'c_Union'( 'c_union'( X, Y, 'tc_set'( Z ) ), Z ),
% 1.25/1.68 'c_union'( 'c_Union'( X, Z ), 'c_Union'( Y, Z ), Z ) ) ] )
% 1.25/1.68 , clause( 5486, [ =( 'c_Union'( 'c_emptyset', X ), 'c_emptyset' ) ] )
% 1.25/1.68 , clause( 5487, [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( =( 'c_Union'( Y, Z
% 1.25/1.68 ), 'c_emptyset' ) ), =( X, 'c_emptyset' ) ] )
% 1.25/1.68 , clause( 5488, [ 'c_in'( 'c_Main_OUnion__empty__conv__1'( X, Y ), X,
% 1.25/1.68 'tc_set'( Y ) ), =( 'c_Union'( X, Y ), 'c_emptyset' ) ] )
% 1.25/1.68 , clause( 5489, [ ~( =( 'c_Main_OUnion__empty__conv__1'( X, Y ),
% 1.25/1.68 'c_emptyset' ) ), =( 'c_Union'( X, Y ), 'c_emptyset' ) ] )
% 1.25/1.68 , clause( 5490, [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'(
% 1.25/1.68 'c_Main_OUnion__iff__1'( X, Y, Z ), Y, 'tc_set'( Z ) ) ] )
% 1.25/1.68 , clause( 5491, [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( X,
% 1.25/1.68 'c_Main_OUnion__iff__1'( X, Y, Z ), Z ) ] )
% 1.25/1.68 , clause( 5492, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( Y, T, 'tc_set'( Z ) )
% 1.25/1.68 ), 'c_in'( X, 'c_Union'( T, Z ), Z ) ] )
% 1.25/1.68 , clause( 5493, [ =( 'c_Union'( 'c_insert'( X, Y, 'tc_set'( Z ) ), Z ),
% 1.25/1.68 'c_union'( X, 'c_Union'( Y, Z ), Z ) ) ] )
% 1.25/1.68 , clause( 5494, [ 'c_in'( 'c_Main_Oall__not__in__conv__1'( X, Y ), X, Y ),
% 1.25/1.68 =( X, 'c_emptyset' ) ] )
% 1.25/1.68 , clause( 5495, [ =( 'c_Set_Ocontents'( 'c_insert'( X, 'c_emptyset', Y ), Y
% 1.25/1.68 ), X ) ] )
% 1.25/1.68 , clause( 5496, [ ~( 'c_in'( X, Y, Z ) ), ~( =( 'c_inter'( Y, 'c_insert'( X
% 1.25/1.68 , T, Z ), Z ), 'c_emptyset' ) ) ] )
% 1.25/1.68 , clause( 5497, [ ~( =( 'c_inter'( X, 'c_insert'( Y, Z, T ), T ),
% 1.25/1.68 'c_emptyset' ) ), =( 'c_inter'( X, Z, T ), 'c_emptyset' ) ] )
% 1.25/1.68 , clause( 5498, [ ~( =( 'c_inter'( X, Y, Z ), 'c_emptyset' ) ), 'c_in'( T,
% 1.25/1.68 X, Z ), =( 'c_inter'( X, 'c_insert'( T, Y, Z ), Z ), 'c_emptyset' ) ] )
% 1.25/1.68 , clause( 5499, [ ~( 'c_in'( X, Y, Z ) ), ~( =( 'c_emptyset', 'c_inter'( Y
% 1.25/1.68 , 'c_insert'( X, T, Z ), Z ) ) ) ] )
% 1.25/1.68 , clause( 5500, [ ~( =( 'c_emptyset', 'c_inter'( X, 'c_insert'( Y, Z, T ),
% 1.25/1.68 T ) ) ), =( 'c_emptyset', 'c_inter'( X, Z, T ) ) ] )
% 1.25/1.68 , clause( 5501, [ ~( =( 'c_emptyset', 'c_inter'( X, Y, Z ) ) ), 'c_in'( T,
% 1.25/1.68 X, Z ), =( 'c_emptyset', 'c_inter'( X, 'c_insert'( T, Y, Z ), Z ) ) ] )
% 1.25/1.68 , clause( 5502, [ =( 'c_uminus'( 'c_uminus'( X, 'tc_set'( Y ) ), 'tc_set'(
% 1.25/1.68 Y ) ), X ) ] )
% 1.25/1.68 , clause( 5503, [ =( 'c_minus'( 'c_emptyset', X, 'tc_set'( Y ) ),
% 1.25/1.68 'c_emptyset' ) ] )
% 1.25/1.68 , clause( 5504, [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( =( 'c_emptyset',
% 1.25/1.68 'c_Union'( Y, Z ) ) ), =( X, 'c_emptyset' ) ] )
% 1.25/1.68 , clause( 5505, [ 'c_in'( 'c_Main_Oempty__Union__conv__1'( X, Y ), X,
% 1.25/1.68 'tc_set'( Y ) ), =( 'c_emptyset', 'c_Union'( X, Y ) ) ] )
% 1.25/1.68 , clause( 5506, [ ~( =( 'c_Main_Oempty__Union__conv__1'( X, Y ),
% 1.25/1.68 'c_emptyset' ) ), =( 'c_emptyset', 'c_Union'( X, Y ) ) ] )
% 1.25/1.68 , clause( 5507, [ ~( 'c_in'( X, 'c_emptyset', Y ) ) ] )
% 1.25/1.68 , clause( 5508, [ ~( =( 'c_emptyset', 'c_insert'( X, Y, Z ) ) ) ] )
% 1.25/1.68 , clause( 5509, [ ~( 'c_in'( X, Y, Z ) ), =( 'c_minus'( 'c_insert'( X, T, Z
% 1.25/1.68 ), Y, 'tc_set'( Z ) ), 'c_minus'( T, Y, 'tc_set'( Z ) ) ) ] )
% 1.25/1.68 , clause( 5510, [ =( 'c_insert'( X, 'c_minus'( Y, 'c_insert'( X,
% 1.25/1.68 'c_emptyset', Z ), 'tc_set'( Z ) ), Z ), 'c_insert'( X, Y, Z ) ) ] )
% 1.25/1.68 , clause( 5511, [ =( 'c_insert'( X, 'c_insert'( X, Y, Z ), Z ), 'c_insert'(
% 1.25/1.68 X, Y, Z ) ) ] )
% 1.25/1.68 , clause( 5512, [ ~( 'c_in'( X, Y, Z ) ), ~( =( 'c_inter'( 'c_insert'( X, T
% 1.25/1.68 , Z ), Y, Z ), 'c_emptyset' ) ) ] )
% 1.25/1.68 , clause( 5513, [ ~( =( 'c_inter'( 'c_insert'( X, Y, Z ), T, Z ),
% 1.25/1.68 'c_emptyset' ) ), =( 'c_inter'( Y, T, Z ), 'c_emptyset' ) ] )
% 1.25/1.68 , clause( 5514, [ ~( =( 'c_inter'( X, Y, Z ), 'c_emptyset' ) ), 'c_in'( T,
% 1.25/1.68 Y, Z ), =( 'c_inter'( 'c_insert'( T, X, Z ), Y, Z ), 'c_emptyset' ) ] )
% 1.25/1.68 , clause( 5515, [ ~( 'c_in'( X, Y, Z ) ), ~( =( 'c_emptyset', 'c_inter'(
% 1.25/1.68 'c_insert'( X, T, Z ), Y, Z ) ) ) ] )
% 1.25/1.68 , clause( 5516, [ ~( =( 'c_emptyset', 'c_inter'( 'c_insert'( X, Y, Z ), T,
% 1.25/1.68 Z ) ) ), =( 'c_emptyset', 'c_inter'( Y, T, Z ) ) ] )
% 1.25/1.68 , clause( 5517, [ ~( =( 'c_emptyset', 'c_inter'( X, Y, Z ) ) ), 'c_in'( T,
% 1.25/1.68 Y, Z ), =( 'c_emptyset', 'c_inter'( 'c_insert'( T, X, Z ), Y, Z ) ) ] )
% 1.25/1.68 , clause( 5518, [ ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ), 'c_in'( X, Z
% 1.25/1.68 , T ), =( X, Y ) ] )
% 1.25/1.68 , clause( 5519, [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ] )
% 1.25/1.68 , clause( 5520, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_insert'( T, Y, Z )
% 1.25/1.68 , Z ) ] )
% 1.25/1.68 , clause( 5521, [ =( 'c_inter'( 'c_insert'( X, Y, Z ), 'c_insert'( X, T, Z
% 1.25/1.68 ), Z ), 'c_insert'( X, 'c_inter'( Y, T, Z ), Z ) ) ] )
% 1.25/1.68 , clause( 5522, [ ~( =( 'c_insert'( X, Y, Z ), 'c_emptyset' ) ) ] )
% 1.25/1.68 , clause( 5523, [ ~( 'c_lessequals'( 'c_insert'( X, Y, Z ), T, 'tc_set'( Z
% 1.25/1.68 ) ) ), 'c_in'( X, T, Z ) ] )
% 1.25/1.68 , clause( 5524, [ ~( 'c_lessequals'( 'c_insert'( X, Y, Z ), T, 'tc_set'( Z
% 1.25/1.68 ) ) ), 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ] )
% 1.25/1.68 , clause( 5525, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( T, Y, 'tc_set'(
% 1.25/1.68 Z ) ) ), 'c_lessequals'( 'c_insert'( X, T, Z ), Y, 'tc_set'( Z ) ) ] )
% 1.25/1.68 , clause( 5526, [ ~( 'c_less'( X, 'c_emptyset', 'tc_set'( Y ) ) ) ] )
% 1.25/1.68 , clause( 5527, [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, T
% 1.25/1.68 , Y ) ) ), =( Z, X ) ] )
% 1.25/1.68 , clause( 5528, [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, T
% 1.25/1.68 , Y ) ) ), 'c_lessequals'( T, 'c_insert'( X, 'c_emptyset', Y ), 'tc_set'(
% 1.25/1.68 Y ) ) ] )
% 1.25/1.68 , clause( 5529, [ ~( 'c_lessequals'( X, 'c_insert'( Y, 'c_emptyset', Z ),
% 1.25/1.68 'tc_set'( Z ) ) ), =( 'c_insert'( Y, 'c_emptyset', Z ), 'c_insert'( Y, X
% 1.25/1.68 , Z ) ) ] )
% 1.25/1.68 , clause( 5530, [ ~( =( 'c_insert'( X, Y, Z ), 'c_insert'( T, 'c_emptyset'
% 1.25/1.68 , Z ) ) ), =( X, T ) ] )
% 1.25/1.68 , clause( 5531, [ ~( =( 'c_insert'( X, Y, Z ), 'c_insert'( T, 'c_emptyset'
% 1.25/1.68 , Z ) ) ), 'c_lessequals'( Y, 'c_insert'( T, 'c_emptyset', Z ), 'tc_set'(
% 1.25/1.68 Z ) ) ] )
% 1.25/1.68 , clause( 5532, [ ~( 'c_lessequals'( X, 'c_insert'( Y, 'c_emptyset', Z ),
% 1.25/1.68 'tc_set'( Z ) ) ), =( 'c_insert'( Y, X, Z ), 'c_insert'( Y, 'c_emptyset'
% 1.25/1.68 , Z ) ) ] )
% 1.25/1.68 , clause( 5533, [ 'c_lessequals'( X, 'c_UNIV', 'tc_set'( Y ) ) ] )
% 1.25/1.68 , clause( 5534, [ ~( 'c_lessequals'( X, 'c_emptyset', 'tc_set'( Y ) ) ),
% 1.25/1.68 =( X, 'c_emptyset' ) ] )
% 1.25/1.68 , clause( 5535, [ 'c_lessequals'( 'c_emptyset', 'c_emptyset', 'tc_set'( X )
% 1.25/1.68 ) ] )
% 1.25/1.68 , clause( 5536, [ ~( =( 'c_Sum__Type_OInl'( X, Y, Z ), 'c_Sum__Type_OInl'(
% 1.25/1.68 T, Y, Z ) ) ), =( X, T ) ] )
% 1.25/1.68 , clause( 5537, [ ~( =( 'c_Sum__Type_OInl'( X, Y, Z ), 'c_Sum__Type_OInr'(
% 1.25/1.68 T, Z, Y ) ) ) ] )
% 1.25/1.68 , clause( 5538, [ ~( =( 'c_Sum__Type_OInr'( X, Y, Z ), 'c_Sum__Type_OInr'(
% 1.25/1.68 T, Y, Z ) ) ), =( X, T ) ] )
% 1.25/1.68 , clause( 5539, [ ~( =( 'c_Sum__Type_OInr'( X, Y, Z ), 'c_Sum__Type_OInl'(
% 1.25/1.68 T, Z, Y ) ) ) ] )
% 1.25/1.68 , clause( 5540, [ =( 'c_Sum__Type_OPlus'( 'c_UNIV', 'c_UNIV', X, Y ),
% 1.25/1.68 'c_UNIV' ) ] )
% 1.25/1.68 , clause( 5541, [ =( 'c_Relation_ODomain'( 'c_Transitive__Closure_Ortrancl'(
% 1.25/1.68 X, Y ), Y, Y ), 'c_UNIV' ) ] )
% 1.25/1.68 , clause( 5542, [ =( 'c_Relation_ORange'( 'c_Transitive__Closure_Ortrancl'(
% 1.25/1.68 X, Y ), Y, Y ), 'c_UNIV' ) ] )
% 1.25/1.68 , clause( 5543, [ =( 'c_union'( 'c_Transitive__Closure_Otrancl'( X, Y ),
% 1.25/1.68 'c_Relation_OId', 'tc_prod'( Y, Y ) ), 'c_Transitive__Closure_Ortrancl'(
% 1.25/1.68 X, Y ) ) ] )
% 1.25/1.68 , clause( 5544, [ =( 'c_Transitive__Closure_Ortrancl'( 'c_emptyset', X ),
% 1.25/1.68 'c_Relation_OId' ) ] )
% 1.25/1.68 , clause( 5545, [ =( 'c_Transitive__Closure_Ortrancl'(
% 1.25/1.68 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ),
% 1.25/1.68 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ] )
% 1.25/1.68 , clause( 5546, [ =( 'c_Relation_Orel__comp'(
% 1.25/1.68 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 1.25/1.68 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ),
% 1.25/1.68 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ] )
% 1.25/1.68 , clause( 5547, [ =( 'c_Transitive__Closure_Ortrancl'( 'c_union'( X,
% 1.25/1.68 'c_Relation_OId', 'tc_prod'( Y, Y ) ), Y ),
% 1.25/1.68 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ] )
% 1.25/1.68 , clause( 5548, [ =( 'c_Relation_ODomain'( 'c_Transitive__Closure_Otrancl'(
% 1.25/1.68 X, Y ), Y, Y ), 'c_Relation_ODomain'( X, Y, Y ) ) ] )
% 1.25/1.68 , clause( 5549, [ =( 'c_Transitive__Closure_Otrancl'( 'c_emptyset', X ),
% 1.25/1.68 'c_emptyset' ) ] )
% 1.25/1.68 , clause( 5550, [ =( 'c_Relation_ORange'( 'c_Transitive__Closure_Otrancl'(
% 1.25/1.68 X, Y ), Y, Y ), 'c_Relation_ORange'( X, Y, Y ) ) ] )
% 1.25/1.68 , clause( 5551, [ =( 'c_Transitive__Closure_Otrancl'( 'c_union'( X,
% 1.25/1.68 'c_Relation_OId', 'tc_prod'( Y, Y ) ), Y ),
% 1.25/1.68 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ] )
% 1.25/1.68 , clause( 5552, [ ~( 'c_Wellfounded__Recursion_Oacyclic'(
% 1.25/1.68 'c_Relation_Oconverse'( X, Y, Y ), Y ) ),
% 1.25/1.68 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ] )
% 1.25/1.68 , clause( 5553, [ ~( 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ),
% 1.25/1.68 'c_Wellfounded__Recursion_Oacyclic'( 'c_Relation_Oconverse'( X, Y, Y ), Y
% 1.25/1.68 ) ] )
% 1.25/1.68 , clause( 5554, [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'(
% 1.25/1.68 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ),
% 1.25/1.68 'c_Wellfounded__Recursion_Oacyclic'( T, Z ) ] )
% 1.25/1.68 , clause( 5555, [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'(
% 1.25/1.68 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), ~( 'c_in'(
% 1.25/1.68 'c_Pair'( Y, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ),
% 1.25/1.68 'tc_prod'( Z, Z ) ) ) ] )
% 1.25/1.68 , clause( 5556, [ ~( 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ),
% 1.25/1.68 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( Z, T, Y, Y ),
% 1.25/1.68 X, 'tc_prod'( Y, Y ) ), Y ), 'c_in'( 'c_Pair'( T, Z, Y, Y ),
% 1.25/1.68 'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ] )
% 1.25/1.68 , clause( 5557, [ ~( 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'(
% 1.25/1.68 X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ),
% 1.25/1.68 'c_Wellfounded__Recursion_Owf'( T, Z ) ] )
% 1.25/1.68 , clause( 5558, [ ~( 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'(
% 1.25/1.68 X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), ~( 'c_in'( 'c_Pair'( Y, X, Z
% 1.25/1.68 , Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ]
% 1.25/1.68 )
% 1.25/1.68 , clause( 5559, [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ),
% 1.25/1.68 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( Z, T, Y, Y ), X,
% 1.25/1.68 'tc_prod'( Y, Y ) ), Y ), 'c_in'( 'c_Pair'( T, Z, Y, Y ),
% 1.25/1.68 'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ] )
% 1.25/1.68 , clause( 5560, [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), ~( 'c_in'(
% 1.25/1.68 'c_Pair'( Z, Z, Y, Y ), X, 'tc_prod'( Y, Y ) ) ) ] )
% 1.25/1.68 , clause( 5561, [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ),
% 1.25/1.68 'c_Wellfounded__Relations_Oless__than', 'tc_prod'( 'tc_nat', 'tc_nat' ) )
% 1.25/1.68 ), 'c_less'( X, Y, 'tc_nat' ) ] )
% 1.25/1.68 , clause( 5562, [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_in'( 'c_Pair'( X, Y,
% 1.25/1.68 'tc_nat', 'tc_nat' ), 'c_Wellfounded__Relations_Oless__than', 'tc_prod'(
% 1.25/1.68 'tc_nat', 'tc_nat' ) ) ] )
% 1.25/1.68 , clause( 5563, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 1.25/1.68 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 1.25/1.68 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 1.25/1.68 , clause( 5564, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 1.25/1.68 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 1.25/1.68 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 1.25/1.68 , clause( 5565, [ ~( =( 'c_Message_Oagent_OServer',
% 1.25/1.68 'c_Message_Oagent_OFriend'( X ) ) ) ] )
% 1.25/1.68 , clause( 5566, [ ~( =( 'c_Message_Oagent_OFriend'( X ),
% 1.25/1.68 'c_Message_Oagent_OServer' ) ) ] )
% 1.25/1.68 , clause( 5567, [ ~( =( 'c_Message_Oagent_OServer', 'c_Message_Oagent_OSpy'
% 1.25/1.68 ) ) ] )
% 1.25/1.68 , clause( 5568, [ ~( =( 'c_Message_Oagent_OSpy', 'c_Message_Oagent_OServer'
% 1.25/1.68 ) ) ] )
% 1.25/1.68 , clause( 5569, [ ~( =( 'c_Message_Oagent_OFriend'( X ),
% 1.25/1.68 'c_Message_Oagent_OSpy' ) ) ] )
% 1.25/1.68 , clause( 5570, [ ~( =( 'c_Message_Oagent_OSpy', 'c_Message_Oagent_OFriend'(
% 1.25/1.68 X ) ) ) ] )
% 1.25/1.68 , clause( 5571, [ ~( =( 'c_Message_Oagent_OFriend'( X ),
% 1.25/1.68 'c_Message_Oagent_OFriend'( Y ) ) ), =( X, Y ) ] )
% 1.25/1.68 , clause( 5572, [ =( 'c_Nat_Osize'( 'c_Message_Oagent_OServer',
% 1.25/1.68 'tc_Message_Oagent' ), 'c_0' ) ] )
% 1.25/1.68 , clause( 5573, [ =( 'c_Nat_Osize'( 'c_Message_Oagent_OFriend'( X ),
% 1.25/1.68 'tc_Message_Oagent' ), 'c_0' ) ] )
% 1.25/1.68 , clause( 5574, [ =( 'c_Nat_Osize'( 'c_Message_Oagent_OSpy',
% 1.25/1.68 'tc_Message_Oagent' ), 'c_0' ) ] )
% 1.25/1.68 , clause( 5575, [ =( 'c_Message_OinvKey'( 'c_Message_OinvKey'( X ) ), X ) ]
% 1.25/1.68 )
% 1.25/1.68 , clause( 5576, [ ~( =( 'c_Message_OinvKey'( X ), 'c_Message_OinvKey'( Y )
% 1.25/1.68 ) ), =( X, Y ) ] )
% 1.25/1.68 , clause( 5577, [ =( 'c_Message_OkeysFor'( 'c_union'( X, Y,
% 1.25/1.68 'tc_Message_Omsg' ) ), 'c_union'( 'c_Message_OkeysFor'( X ),
% 1.25/1.68 'c_Message_OkeysFor'( Y ), 'tc_nat' ) ) ] )
% 1.25/1.68 , clause( 5578, [ =( 'c_Message_OkeysFor'( 'c_emptyset' ), 'c_emptyset' ) ]
% 1.25/1.68 )
% 1.25/1.68 , clause( 5579, [ =( 'c_Message_OkeysFor'( 'c_insert'(
% 1.25/1.68 'c_Message_Omsg_OAgent'( X ), Y, 'tc_Message_Omsg' ) ),
% 1.25/1.68 'c_Message_OkeysFor'( Y ) ) ] )
% 1.25/1.68 , clause( 5580, [ =( 'c_Message_OkeysFor'( 'c_insert'(
% 1.25/1.68 'c_Message_Omsg_OCrypt'( X, Y ), Z, 'tc_Message_Omsg' ) ), 'c_insert'(
% 1.25/1.68 'c_Message_OinvKey'( X ), 'c_Message_OkeysFor'( Z ), 'tc_nat' ) ) ] )
% 1.25/1.68 , clause( 5581, [ =( 'c_Message_OkeysFor'( 'c_insert'(
% 1.25/1.68 'c_Message_Omsg_OHash'( X ), Y, 'tc_Message_Omsg' ) ),
% 1.25/1.68 'c_Message_OkeysFor'( Y ) ) ] )
% 1.25/1.68 , clause( 5582, [ =( 'c_Message_OkeysFor'( 'c_insert'(
% 1.25/1.68 'c_Message_Omsg_OKey'( X ), Y, 'tc_Message_Omsg' ) ),
% 1.25/1.68 'c_Message_OkeysFor'( Y ) ) ] )
% 1.25/1.68 , clause( 5583, [ =( 'c_Message_OkeysFor'( 'c_insert'(
% 1.25/1.68 'c_Message_Omsg_OMPair'( X, Y ), Z, 'tc_Message_Omsg' ) ),
% 1.25/1.68 'c_Message_OkeysFor'( Z ) ) ] )
% 1.25/1.68 , clause( 5584, [ =( 'c_Message_OkeysFor'( 'c_insert'(
% 1.25/1.68 'c_Message_Omsg_ONonce'( X ), Y, 'tc_Message_Omsg' ) ),
% 1.25/1.68 'c_Message_OkeysFor'( Y ) ) ] )
% 1.25/1.68 , clause( 5585, [ =( 'c_Message_OkeysFor'( 'c_insert'(
% 1.25/1.68 'c_Message_Omsg_ONumber'( X ), Y, 'tc_Message_Omsg' ) ),
% 1.25/1.68 'c_Message_OkeysFor'( Y ) ) ] )
% 1.25/1.68 , clause( 5586, [ ~( =( 'c_Message_Omsg_OAgent'( X ),
% 1.25/1.68 'c_Message_Omsg_OAgent'( Y ) ) ), =( X, Y ) ] )
% 1.25/1.68 , clause( 5587, [ ~( =( 'c_Message_Omsg_ONumber'( X ),
% 1.25/1.68 'c_Message_Omsg_ONumber'( Y ) ) ), =( X, Y ) ] )
% 1.25/1.68 , clause( 5588, [ ~( =( 'c_Message_Omsg_ONonce'( X ),
% 1.25/1.68 'c_Message_Omsg_ONonce'( Y ) ) ), =( X, Y ) ] )
% 1.25/1.68 , clause( 5589, [ ~( =( 'c_Message_Omsg_OKey'( X ), 'c_Message_Omsg_OKey'(
% 1.25/1.68 Y ) ) ), =( X, Y ) ] )
% 1.25/1.68 , clause( 5590, [ ~( =( 'c_Message_Omsg_OHash'( X ), 'c_Message_Omsg_OHash'(
% 1.25/1.68 Y ) ) ), =( X, Y ) ] )
% 1.25/1.68 , clause( 5591, [ ~( =( 'c_Message_Omsg_OMPair'( X, Y ),
% 1.25/1.68 'c_Message_Omsg_OMPair'( Z, T ) ) ), =( X, Z ) ] )
% 1.25/1.68 , clause( 5592, [ ~( =( 'c_Message_Omsg_OMPair'( X, Y ),
% 1.25/1.68 'c_Message_Omsg_OMPair'( Z, T ) ) ), =( Y, T ) ] )
% 1.25/1.68 , clause( 5593, [ ~( =( 'c_Message_Omsg_OCrypt'( X, Y ),
% 1.25/1.68 'c_Message_Omsg_OCrypt'( Z, T ) ) ), =( X, Z ) ] )
% 1.25/1.68 , clause( 5594, [ ~( =( 'c_Message_Omsg_OCrypt'( X, Y ),
% 1.25/1.68 'c_Message_Omsg_OCrypt'( Z, T ) ) ), =( Y, T ) ] )
% 1.25/1.68 , clause( 5595, [ =( 'c_Nat_Osize'( 'c_Message_Omsg_OAgent'( X ),
% 1.25/1.68 'tc_Message_Omsg' ), 'c_0' ) ] )
% 1.25/1.68 , clause( 5596, [ =( 'c_Nat_Osize'( 'c_Message_Omsg_ONumber'( X ),
% 1.25/1.68 'tc_Message_Omsg' ), 'c_0' ) ] )
% 1.25/1.68 , clause( 5597, [ =( 'c_Nat_Osize'( 'c_Message_Omsg_ONonce'( X ),
% 1.25/1.68 'tc_Message_Omsg' ), 'c_0' ) ] )
% 1.25/1.68 , clause( 5598, [ =( 'c_Nat_Osize'( 'c_Message_Omsg_OKey'( X ),
% 1.25/1.68 'tc_Message_Omsg' ), 'c_0' ) ] )
% 1.25/1.68 , clause( 5599, [ =( 'c_Nat_Osize'( 'c_Message_Omsg_OHash'( X ),
% 1.25/1.68 'tc_Message_Omsg' ), 'c_plus'( 'c_Nat_Osize'( X, 'tc_Message_Omsg' ),
% 1.25/1.68 'c_Suc'( 'c_0' ), 'tc_nat' ) ) ] )
% 1.25/1.68 , clause( 5600, [ =( 'c_Nat_Osize'( 'c_Message_Omsg_OMPair'( X, Y ),
% 1.25/1.68 'tc_Message_Omsg' ), 'c_plus'( 'c_plus'( 'c_Nat_Osize'( X,
% 1.25/1.68 'tc_Message_Omsg' ), 'c_Nat_Osize'( Y, 'tc_Message_Omsg' ), 'tc_nat' ),
% 1.25/1.68 'c_Suc'( 'c_0' ), 'tc_nat' ) ) ] )
% 1.25/1.68 , clause( 5601, [ =( 'c_Nat_Osize'( 'c_Message_Omsg_OCrypt'( X, Y ),
% 1.25/1.68 'tc_Message_Omsg' ), 'c_plus'( 'c_Nat_Osize'( Y, 'tc_Message_Omsg' ),
% 1.25/1.68 'c_Suc'( 'c_0' ), 'tc_nat' ) ) ] )
% 1.25/1.68 , clause( 5602, [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X,
% 1.25/1.68 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ] )
% 1.25/1.68 , clause( 5603, [ =( 'c_Message_Oparts'( 'c_union'( X, Y, 'tc_Message_Omsg'
% 1.25/1.68 ) ), 'c_union'( 'c_Message_Oparts'( X ), 'c_Message_Oparts'( Y ),
% 1.25/1.68 'tc_Message_Omsg' ) ) ] )
% 1.25/1.68 , clause( 5604, [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_emptyset' ),
% 1.25/1.68 'tc_Message_Omsg' ) ) ] )
% 1.25/1.68 , clause( 5605, [ =( 'c_Message_Oparts'( 'c_emptyset' ), 'c_emptyset' ) ]
% 1.25/1.68 )
% 1.25/1.68 , clause( 5606, [ =( 'c_union'( X, 'c_union'( Y, X, Z ), Z ), 'c_union'( Y
% 1.25/1.68 , X, Z ) ) ] )
% 1.25/1.68 , clause( 5607, [ ~( 'c_in'( 'c_Message_Oagent_OServer', 'c_Event_Obad',
% 1.25/1.68 'tc_Message_Oagent' ) ) ] )
% 1.25/1.68 , clause( 5608, [ 'c_in'( 'c_Message_Oagent_OSpy', 'c_Event_Obad',
% 1.25/1.68 'tc_Message_Oagent' ) ] )
% 1.25/1.68 , clause( 5609, [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_Event_Oknows'(
% 1.25/1.68 'c_Message_Oagent_OSpy', Y ) ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 1.25/1.68 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ] )
% 1.25/1.68 , clause( 5610, [ ~( =( 'c_Event_Oevent_OSays'( X, Y, Z ),
% 1.25/1.68 'c_Event_Oevent_OGets'( T, U ) ) ) ] )
% 1.25/1.68 , clause( 5611, [ ~( =( 'c_Event_Oevent_OGets'( X, Y ),
% 1.25/1.68 'c_Event_Oevent_OSays'( Z, T, U ) ) ) ] )
% 1.25/1.68 , clause( 5612, [ ~( =( 'c_Event_Oevent_OSays'( X, Y, Z ),
% 1.25/1.68 'c_Event_Oevent_ONotes'( T, U ) ) ) ] )
% 1.25/1.68 , clause( 5613, [ ~( =( 'c_Event_Oevent_ONotes'( X, Y ),
% 1.25/1.68 'c_Event_Oevent_OSays'( Z, T, U ) ) ) ] )
% 1.25/1.68 , clause( 5614, [ ~( =( 'c_Event_Oevent_OGets'( X, Y ),
% 1.25/1.68 'c_Event_Oevent_ONotes'( Z, T ) ) ) ] )
% 1.25/1.68 , clause( 5615, [ ~( =( 'c_Event_Oevent_ONotes'( X, Y ),
% 1.25/1.68 'c_Event_Oevent_OGets'( Z, T ) ) ) ] )
% 1.25/1.68 , clause( 5616, [ ~( =( 'c_Event_Oevent_OSays'( X, Y, Z ),
% 1.25/1.68 'c_Event_Oevent_OSays'( T, U, W ) ) ), =( X, T ) ] )
% 1.25/1.68 , clause( 5617, [ ~( =( 'c_Event_Oevent_OSays'( X, Y, Z ),
% 1.25/1.68 'c_Event_Oevent_OSays'( T, U, W ) ) ), =( Y, U ) ] )
% 1.25/1.68 , clause( 5618, [ ~( =( 'c_Event_Oevent_OSays'( X, Y, Z ),
% 1.25/1.68 'c_Event_Oevent_OSays'( T, U, W ) ) ), =( Z, W ) ] )
% 1.25/1.68 , clause( 5619, [ ~( =( 'c_Event_Oevent_OGets'( X, Y ),
% 1.25/1.68 'c_Event_Oevent_OGets'( Z, T ) ) ), =( X, Z ) ] )
% 1.25/1.68 , clause( 5620, [ ~( =( 'c_Event_Oevent_OGets'( X, Y ),
% 1.25/1.68 'c_Event_Oevent_OGets'( Z, T ) ) ), =( Y, T ) ] )
% 1.25/1.68 , clause( 5621, [ ~( =( 'c_Event_Oevent_ONotes'( X, Y ),
% 1.25/1.68 'c_Event_Oevent_ONotes'( Z, T ) ) ), =( X, Z ) ] )
% 1.25/1.68 , clause( 5622, [ ~( =( 'c_Event_Oevent_ONotes'( X, Y ),
% 1.25/1.68 'c_Event_Oevent_ONotes'( Z, T ) ) ), =( Y, T ) ] )
% 1.25/1.68 , clause( 5623, [ =( 'c_Nat_Osize'( 'c_Event_Oevent_OSays'( X, Y, Z ),
% 1.25/1.68 'tc_Event_Oevent' ), 'c_0' ) ] )
% 1.25/1.68 , clause( 5624, [ =( 'c_Nat_Osize'( 'c_Event_Oevent_OGets'( X, Y ),
% 1.25/1.68 'tc_Event_Oevent' ), 'c_0' ) ] )
% 1.25/1.68 , clause( 5625, [ =( 'c_Nat_Osize'( 'c_Event_Oevent_ONotes'( X, Y ),
% 1.25/1.68 'tc_Event_Oevent' ), 'c_0' ) ] )
% 1.25/1.68 , clause( 5626, [ ~( 'c_in'( X, 'c_Message_OkeysFor'( 'c_Message_Osynth'( Y
% 1.25/1.68 ) ), 'tc_nat' ) ), 'c_in'( X, 'c_Message_OkeysFor'( Y ), 'tc_nat' ),
% 1.25/1.68 'c_in'( 'c_Message_Omsg_OKey'( 'v_sko__uhi'( Y, X ) ), Y,
% 1.25/1.68 'tc_Message_Omsg' ) ] )
% 1.25/1.68 , clause( 5627, [ ~( 'c_in'( X, 'c_Message_OkeysFor'( 'c_Message_Osynth'( Y
% 1.25/1.68 ) ), 'tc_nat' ) ), 'c_in'( X, 'c_Message_OkeysFor'( Y ), 'tc_nat' ), =(
% 1.25/1.68 X, 'c_Message_OinvKey'( 'v_sko__uhi'( Y, X ) ) ) ] )
% 1.25/1.68 , clause( 5628, [ ~( 'c_in'( X, 'c_Message_OkeysFor'( Y ), 'tc_nat' ) ),
% 1.25/1.68 'c_in'( X, 'c_Message_OkeysFor'( 'c_Message_Osynth'( Y ) ), 'tc_nat' ) ]
% 1.25/1.68 )
% 1.25/1.68 , clause( 5629, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( X ), Y,
% 1.25/1.68 'tc_Message_Omsg' ) ), 'c_in'( 'c_Message_OinvKey'( X ),
% 1.25/1.68 'c_Message_OkeysFor'( 'c_Message_Osynth'( Y ) ), 'tc_nat' ) ] )
% 1.25/1.68 , clause( 5630, [ =( 'c_Event_Oknows'( X, 'c_List_Olist_ONil' ),
% 1.25/1.68 'c_Event_OinitState'( X ) ) ] )
% 1.25/1.68 , clause( 5631, [ =( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy',
% 1.25/1.68 'c_List_Olist_OCons'( 'c_Event_Oevent_OGets'( X, Y ), Z,
% 1.25/1.68 'tc_Event_Oevent' ) ), 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Z ) ) ]
% 1.25/1.68 )
% 1.25/1.68 , clause( 5632, [ ~( 'c_in'( X, 'c_Event_Obad', 'tc_Message_Oagent' ) ),
% 1.25/1.68 =( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'c_List_Olist_OCons'(
% 1.25/1.68 'c_Event_Oevent_ONotes'( X, Y ), Z, 'tc_Event_Oevent' ) ), 'c_insert'( Y
% 1.25/1.68 , 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Z ), 'tc_Message_Omsg' ) ) ]
% 1.25/1.68 )
% 1.25/1.68 , clause( 5633, [ 'c_in'( X, 'c_Event_Obad', 'tc_Message_Oagent' ), =(
% 1.25/1.68 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'c_List_Olist_OCons'(
% 1.25/1.68 'c_Event_Oevent_ONotes'( X, Y ), Z, 'tc_Event_Oevent' ) ),
% 1.25/1.68 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Z ) ) ] )
% 1.25/1.68 , clause( 5634, [ =( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy',
% 1.25/1.68 'c_List_Olist_OCons'( 'c_Event_Oevent_OSays'( X, Y, Z ), T,
% 1.25/1.68 'tc_Event_Oevent' ) ), 'c_insert'( Z, 'c_Event_Oknows'(
% 1.25/1.68 'c_Message_Oagent_OSpy', T ), 'tc_Message_Omsg' ) ) ] )
% 1.25/1.68 , clause( 5635, [ =( 'c_Event_Oused'( 'c_List_Olist_OCons'(
% 1.25/1.68 'c_Event_Oevent_OGets'( X, Y ), Z, 'tc_Event_Oevent' ) ), 'c_Event_Oused'(
% 1.25/1.68 Z ) ) ] )
% 1.25/1.68 , clause( 5636, [ =( 'c_Event_Oused'( 'c_List_Olist_OCons'(
% 1.25/1.68 'c_Event_Oevent_ONotes'( X, Y ), Z, 'tc_Event_Oevent' ) ), 'c_union'(
% 1.25/1.68 'c_Message_Oparts'( 'c_insert'( Y, 'c_emptyset', 'tc_Message_Omsg' ) ),
% 1.25/1.68 'c_Event_Oused'( Z ), 'tc_Message_Omsg' ) ) ] )
% 1.25/1.68 , clause( 5637, [ =( 'c_Event_Oused'( 'c_List_Olist_OCons'(
% 1.25/1.68 'c_Event_Oevent_OSays'( X, Y, Z ), T, 'tc_Event_Oevent' ) ), 'c_union'(
% 1.25/1.68 'c_Message_Oparts'( 'c_insert'( Z, 'c_emptyset', 'tc_Message_Omsg' ) ),
% 1.25/1.68 'c_Event_Oused'( T ), 'tc_Message_Omsg' ) ) ] )
% 1.25/1.68 , clause( 5638, [ 'c_in'( 'c_Message_Omsg_OAgent'( X ), 'c_Message_Osynth'(
% 1.25/1.68 Y ), 'tc_Message_Omsg' ) ] )
% 1.25/1.68 , clause( 5639, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ),
% 1.25/1.68 'c_Message_Osynth'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 1.25/1.68 'c_Message_Osynth'( Z ), 'tc_Message_Omsg' ), 'c_in'(
% 1.25/1.68 'c_Message_Omsg_OCrypt'( X, Y ), Z, 'tc_Message_Omsg' ) ] )
% 1.25/1.68 , clause( 5640, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ),
% 1.25/1.68 'c_Message_Osynth'( Z ), 'tc_Message_Omsg' ) ), 'c_in'(
% 1.25/1.68 'c_Message_Omsg_OCrypt'( X, Y ), Z, 'tc_Message_Omsg' ), 'c_in'(
% 1.25/1.68 'c_Message_Omsg_OKey'( X ), Z, 'tc_Message_Omsg' ) ] )
% 1.25/1.68 , clause( 5641, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), Z,
% 1.25/1.68 'tc_Message_Omsg' ) ), 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ),
% 1.25/1.68 'c_Message_Osynth'( Z ), 'tc_Message_Omsg' ), 'c_in'(
% 1.25/1.68 'c_Message_Omsg_OKey'( X ), Z, 'tc_Message_Omsg' ) ] )
% 1.25/1.68 , clause( 5642, [ ~( 'c_in'( X, 'c_Message_Osynth'( 'c_Message_Oanalz'( Y )
% 1.25/1.68 ), 'tc_Message_Omsg' ) ), =( 'c_Message_Osynth'( 'c_Message_Oanalz'(
% 1.25/1.68 'c_insert'( X, Y, 'tc_Message_Omsg' ) ) ), 'c_Message_Osynth'(
% 1.25/1.68 'c_Message_Oanalz'( Y ) ) ) ] )
% 1.25/1.68 , clause( 5643, [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_OHPair'( Z,
% 1.25/1.68 T ) ) ), =( X, Z ) ] )
% 1.25/1.68 , clause( 5644, [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_OHPair'( Z,
% 1.25/1.68 T ) ) ), =( Y, T ) ] )
% 1.25/1.68 , clause( 5645, [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_OMPair'(
% 1.25/1.68 Z, T ) ) ), =( Z, 'c_Message_Omsg_OHash'( 'c_Message_Omsg_OMPair'( X, Y )
% 1.25/1.68 ) ) ] )
% 1.25/1.68 , clause( 5646, [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_OMPair'(
% 1.25/1.68 Z, T ) ) ), =( T, Y ) ] )
% 1.25/1.68 , clause( 5647, [ =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_OMPair'(
% 1.25/1.68 'c_Message_Omsg_OHash'( 'c_Message_Omsg_OMPair'( X, Y ) ), Y ) ) ] )
% 1.25/1.68 , clause( 5648, [ ~( =( 'c_Message_Omsg_OAgent'( X ), 'c_Message_OHPair'( Y
% 1.25/1.68 , Z ) ) ) ] )
% 1.25/1.68 , clause( 5649, [ ~( =( 'c_Message_Omsg_ONonce'( X ), 'c_Message_OHPair'( Y
% 1.25/1.68 , Z ) ) ) ] )
% 1.25/1.68 , clause( 5650, [ ~( =( 'c_Message_Omsg_ONumber'( X ), 'c_Message_OHPair'(
% 1.25/1.68 Y, Z ) ) ) ] )
% 1.25/1.68 , clause( 5651, [ ~( =( 'c_Message_Omsg_OKey'( X ), 'c_Message_OHPair'( Y,
% 1.25/1.68 Z ) ) ) ] )
% 1.25/1.68 , clause( 5652, [ ~( =( 'c_Message_Omsg_OHash'( X ), 'c_Message_OHPair'( Y
% 1.25/1.68 , Z ) ) ) ] )
% 1.25/1.68 , clause( 5653, [ ~( =( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_OHPair'(
% 1.25/1.68 Z, T ) ) ) ] )
% 1.25/1.68 , clause( 5654, [ ~( 'c_in'( 'c_Message_OHPair'( X, Y ), 'c_Message_Osynth'(
% 1.25/1.68 'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 1.25/1.68 'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ),
% 1.25/1.68 'c_in'( 'c_Message_Omsg_OHash'( 'c_Message_Omsg_OMPair'( X, Y ) ),
% 1.25/1.68 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ] )
% 1.25/1.68 , clause( 5655, [ ~( 'c_in'( 'c_Message_OHPair'( X, Y ), 'c_Message_Osynth'(
% 1.25/1.68 'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 1.25/1.68 'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ),
% 1.25/1.68 'c_in'( X, 'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ),
% 1.25/1.68 'tc_Message_Omsg' ) ] )
% 1.25/1.68 , clause( 5656, [ ~( 'c_in'( X, 'c_Message_Osynth'( 'c_Message_Oanalz'( Y )
% 1.25/1.68 ), 'tc_Message_Omsg' ) ), ~( 'c_in'( 'c_Message_Omsg_OHash'(
% 1.25/1.68 'c_Message_Omsg_OMPair'( Z, X ) ), 'c_Message_Oanalz'( Y ),
% 1.25/1.68 'tc_Message_Omsg' ) ), 'c_in'( Z, 'c_Message_Osynth'( 'c_Message_Oanalz'(
% 1.25/1.68 Y ) ), 'tc_Message_Omsg' ), 'c_in'( 'c_Message_OHPair'( Z, X ),
% 1.25/1.68 'c_Message_Osynth'( 'c_Message_Oanalz'( Y ) ), 'tc_Message_Omsg' ) ] )
% 1.25/1.68 , clause( 5657, [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_OAgent'(
% 1.25/1.68 Z ) ) ) ] )
% 1.25/1.68 , clause( 5658, [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_OCrypt'(
% 1.25/1.68 Z, T ) ) ) ] )
% 1.25/1.68 , clause( 5659, [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_OHash'(
% 1.25/1.68 Z ) ) ) ] )
% 1.25/1.68 , clause( 5660, [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_OKey'(
% 1.25/1.68 Z ) ) ) ] )
% 1.25/1.68 , clause( 5661, [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_ONonce'(
% 1.25/1.68 Z ) ) ) ] )
% 1.25/1.68 , clause( 5662, [ ~( =( 'c_Message_OHPair'( X, Y ),
% 1.25/1.68 'c_Message_Omsg_ONumber'( Z ) ) ) ] )
% 1.25/1.68 , clause( 5663, [ ~( 'c_in'( 'c_Message_Omsg_OHash'( X ),
% 1.25/1.68 'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 1.25/1.68 'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ), 'c_in'(
% 1.25/1.68 'c_Message_Omsg_OHash'( X ), Y, 'tc_Message_Omsg' ) ] )
% 1.25/1.68 , clause( 5664, [ ~( 'c_in'( 'c_Message_Omsg_OHash'(
% 1.25/1.68 'c_Message_Omsg_OMPair'( X, Y ) ), 'c_Message_Osynth'( 'c_Message_Oanalz'(
% 1.25/1.68 Z ) ), 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Osynth'(
% 1.25/1.68 'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ), 'c_in'(
% 1.25/1.68 'c_Message_Omsg_OHash'( 'c_Message_Omsg_OMPair'( X, Y ) ),
% 1.25/1.68 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ] )
% 1.25/1.68 , clause( 5665, [ ~( 'c_in'( 'c_Message_Omsg_OHash'(
% 1.25/1.68 'c_Message_Omsg_OMPair'( X, Y ) ), 'c_Message_Oanalz'( Z ),
% 1.25/1.68 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Osynth'( 'c_Message_Oanalz'(
% 1.25/1.68 Z ) ), 'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OHash'(
% 1.25/1.68 'c_Message_Omsg_OMPair'( X, Y ) ), 'c_Message_Osynth'( 'c_Message_Oanalz'(
% 1.25/1.68 Z ) ), 'tc_Message_Omsg' ) ] )
% 1.25/1.68 , clause( 5666, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( X ), 'c_Message_Osynth'(
% 1.25/1.68 Y ), 'tc_Message_Omsg' ) ), 'c_in'( 'c_Message_Omsg_OKey'( X ), Y,
% 1.25/1.68 'tc_Message_Omsg' ) ] )
% 1.25/1.68 , clause( 5667, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( X ), Y,
% 1.25/1.68 'tc_Message_Omsg' ) ), 'c_in'( 'c_Message_Omsg_OKey'( X ),
% 1.25/1.68 'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ) ] )
% 1.25/1.68 , clause( 5668, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 1.25/1.68 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 1.25/1.68 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ] )
% 1.25/1.68 , clause( 5669, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 1.25/1.68 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 1.25/1.68 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ] )
% 1.25/1.68 , clause( 5670, [ ~( =( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_OHPair'(
% 1.25/1.68 Z, T ) ) ), =( X, 'c_Message_Omsg_OHash'( 'c_Message_Omsg_OMPair'( Z, T )
% 1.25/1.68 ) ) ] )
% 1.25/1.68 , clause( 5671, [ ~( =( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_OHPair'(
% 1.25/1.68 Z, T ) ) ), =( Y, T ) ] )
% 1.25/1.68 , clause( 5672, [ =( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OHash'(
% 1.25/1.68 'c_Message_Omsg_OMPair'( X, Y ) ), Y ), 'c_Message_OHPair'( X, Y ) ) ] )
% 1.25/1.68 , clause( 5673, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 1.25/1.68 'c_Message_Osynth'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 1.25/1.68 'c_Message_Osynth'( Z ), 'tc_Message_Omsg' ), 'c_in'(
% 1.25/1.68 'c_Message_Omsg_OMPair'( X, Y ), Z, 'tc_Message_Omsg' ) ] )
% 1.25/1.68 , clause( 5674, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 1.25/1.68 'c_Message_Osynth'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 1.25/1.68 'c_Message_Osynth'( Z ), 'tc_Message_Omsg' ), 'c_in'(
% 1.25/1.68 'c_Message_Omsg_OMPair'( X, Y ), Z, 'tc_Message_Omsg' ) ] )
% 1.25/1.68 , clause( 5675, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 1.25/1.68 'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ) ),
% 1.25/1.68 'c_in'( X, 'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ),
% 1.25/1.68 'tc_Message_Omsg' ) ] )
% 1.25/1.68 , clause( 5676, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 1.25/1.68 'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ) ),
% 1.25/1.68 'c_in'( Y, 'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ),
% 1.25/1.68 'tc_Message_Omsg' ) ] )
% 1.25/1.68 , clause( 5677, [ ~( 'c_in'( X, 'c_Message_Osynth'( 'c_Message_Oanalz'( Y )
% 1.25/1.68 ), 'tc_Message_Omsg' ) ), ~( 'c_in'( Z, 'c_Message_Osynth'(
% 1.25/1.68 'c_Message_Oanalz'( Y ) ), 'tc_Message_Omsg' ) ), 'c_in'(
% 1.25/1.68 'c_Message_Omsg_OMPair'( Z, X ), 'c_Message_Osynth'( 'c_Message_Oanalz'(
% 1.25/1.68 Y ) ), 'tc_Message_Omsg' ) ] )
% 1.25/1.68 , clause( 5678, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( X ),
% 1.25/1.68 'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ) ), 'c_in'(
% 1.25/1.68 'c_Message_Omsg_ONonce'( X ), Y, 'tc_Message_Omsg' ) ] )
% 1.25/1.68 , clause( 5679, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( X ), Y,
% 1.25/1.68 'tc_Message_Omsg' ) ), 'c_in'( 'c_Message_Omsg_ONonce'( X ),
% 1.25/1.68 'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ) ] )
% 1.25/1.68 , clause( 5680, [ 'c_in'( 'c_Message_Omsg_ONumber'( X ), 'c_Message_Osynth'(
% 1.25/1.68 Y ), 'tc_Message_Omsg' ) ] )
% 1.25/1.68 , clause( 5681, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ),
% 1.25/1.68 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ), ~( 'c_in'(
% 1.25/1.68 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( X ) ), 'c_Message_Oanalz'( Z
% 1.25/1.68 ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oanalz'( Z ),
% 1.25/1.68 'tc_Message_Omsg' ) ] )
% 1.25/1.68 , clause( 5682, [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X,
% 1.25/1.68 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ] )
% 1.25/1.68 , clause( 5683, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( X
% 1.25/1.68 ) ), 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ), =(
% 1.25/1.68 'c_Message_Oanalz'( 'c_insert'( 'c_Message_Omsg_OCrypt'( X, Z ), Y,
% 1.25/1.68 'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_OCrypt'( X, Z ),
% 1.25/1.68 'c_Message_Oanalz'( 'c_insert'( Z, Y, 'tc_Message_Omsg' ) ),
% 1.25/1.68 'tc_Message_Omsg' ) ) ] )
% 1.25/1.68 , clause( 5684, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( X ) )
% 1.25/1.68 , 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ), =( 'c_Message_Oanalz'(
% 1.25/1.68 'c_insert'( 'c_Message_Omsg_OCrypt'( X, Z ), Y, 'tc_Message_Omsg' ) ),
% 1.25/1.68 'c_insert'( 'c_Message_Omsg_OCrypt'( X, Z ), 'c_Message_Oanalz'( Y ),
% 1.25/1.68 'tc_Message_Omsg' ) ) ] )
% 1.25/1.68 , clause( 5685, [ ~( 'c_in'( X, 'c_Message_Oanalz'( 'c_Message_Oanalz'( Y )
% 1.25/1.68 ), 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oanalz'( Y ),
% 1.25/1.68 'tc_Message_Omsg' ) ] )
% 1.25/1.68 , clause( 5686, [ =( 'c_Message_Oanalz'( 'c_union'( 'c_Message_Oanalz'( X )
% 1.25/1.68 , Y, 'tc_Message_Omsg' ) ), 'c_Message_Oanalz'( 'c_union'( X, Y,
% 1.25/1.68 'tc_Message_Omsg' ) ) ) ] )
% 1.25/1.68 , clause( 5687, [ ~( 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg'
% 1.25/1.68 ) ), 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ] )
% 1.25/1.68 , clause( 5688, [ =( 'c_Message_Oanalz'( 'c_emptyset' ), 'c_emptyset' ) ]
% 1.25/1.68 )
% 1.25/1.68 , clause( 5689, [ =( 'c_Message_Oanalz'( 'c_Message_Oanalz'( X ) ),
% 1.25/1.68 'c_Message_Oanalz'( X ) ) ] )
% 1.25/1.68 , clause( 5690, [ =( 'c_Message_Oanalz'( 'c_insert'(
% 1.25/1.68 'c_Message_Omsg_OAgent'( X ), Y, 'tc_Message_Omsg' ) ), 'c_insert'(
% 1.25/1.68 'c_Message_Omsg_OAgent'( X ), 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg'
% 1.25/1.68 ) ) ] )
% 1.25/1.68 , clause( 5691, [ =( 'c_Message_Oanalz'( 'c_insert'( 'c_Message_OHPair'( X
% 1.25/1.68 , Y ), Z, 'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_OHPair'( X, Y ),
% 1.25/1.68 'c_insert'( 'c_Message_Omsg_OHash'( 'c_Message_Omsg_OMPair'( X, Y ) ),
% 1.25/1.68 'c_Message_Oanalz'( 'c_insert'( Y, Z, 'tc_Message_Omsg' ) ),
% 1.25/1.68 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ] )
% 1.25/1.68 , clause( 5692, [ =( 'c_Message_Oanalz'( 'c_insert'( 'c_Message_Omsg_OHash'(
% 1.25/1.68 X ), Y, 'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_OHash'( X ),
% 1.25/1.68 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ) ] )
% 1.25/1.68 , clause( 5693, [ 'c_in'( X, 'c_Message_OkeysFor'( 'c_Message_Oanalz'( Y )
% 1.25/1.68 ), 'tc_nat' ), =( 'c_Message_Oanalz'( 'c_insert'( 'c_Message_Omsg_OKey'(
% 1.25/1.68 X ), Y, 'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_OKey'( X ),
% 1.25/1.68 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ) ] )
% 1.25/1.68 , clause( 5694, [ =( 'c_Message_Oanalz'( 'c_insert'(
% 1.25/1.68 'c_Message_Omsg_OMPair'( X, Y ), Z, 'tc_Message_Omsg' ) ), 'c_insert'(
% 1.25/1.68 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oanalz'( 'c_insert'( X,
% 1.25/1.68 'c_insert'( Y, Z, 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ),
% 1.25/1.68 'tc_Message_Omsg' ) ) ] )
% 1.25/1.68 , clause( 5695, [ =( 'c_Message_Oanalz'( 'c_insert'(
% 1.25/1.68 'c_Message_Omsg_ONonce'( X ), Y, 'tc_Message_Omsg' ) ), 'c_insert'(
% 1.25/1.68 'c_Message_Omsg_ONonce'( X ), 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg'
% 1.25/1.68 ) ) ] )
% 1.25/1.68 , clause( 5696, [ =( 'c_Message_Oanalz'( 'c_insert'(
% 1.25/1.68 'c_Message_Omsg_ONumber'( X ), Y, 'tc_Message_Omsg' ) ), 'c_insert'(
% 1.25/1.68 'c_Message_Omsg_ONumber'( X ), 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg'
% 1.25/1.68 ) ) ] )
% 1.25/1.68 , clause( 5697, [ =( 'c_Message_Oanalz'( 'c_Message_Oparts'( X ) ),
% 1.25/1.68 'c_Message_Oparts'( X ) ) ] )
% 1.25/1.68 , clause( 5698, [ ~( 'c_lessequals'( 'c_Message_Oanalz'( X ),
% 1.25/1.68 'c_Message_Oanalz'( Y ), 'tc_set'( 'tc_Message_Omsg' ) ) ),
% 1.25/1.68 'c_lessequals'( X, 'c_Message_Oanalz'( Y ), 'tc_set'( 'tc_Message_Omsg' )
% 1.25/1.68 ) ] )
% 1.25/1.68 , clause( 5699, [ ~( 'c_lessequals'( X, 'c_Message_Oanalz'( Y ), 'tc_set'(
% 1.25/1.68 'tc_Message_Omsg' ) ) ), 'c_lessequals'( 'c_Message_Oanalz'( X ),
% 1.25/1.68 'c_Message_Oanalz'( Y ), 'tc_set'( 'tc_Message_Omsg' ) ) ] )
% 1.25/1.68 , clause( 5700, [ =( 'c_Message_Oanalz'( 'c_Message_Osynth'( X ) ),
% 1.25/1.68 'c_union'( 'c_Message_Oanalz'( X ), 'c_Message_Osynth'( X ),
% 1.25/1.68 'tc_Message_Omsg' ) ) ] )
% 1.25/1.68 , clause( 5701, [ =( 'c_Message_Oanalz'( 'c_union'( 'c_Message_Osynth'( X )
% 1.25/1.68 , Y, 'tc_Message_Omsg' ) ), 'c_union'( 'c_Message_Oanalz'( 'c_union'( X,
% 1.25/1.68 Y, 'tc_Message_Omsg' ) ), 'c_Message_Osynth'( X ), 'tc_Message_Omsg' ) )
% 1.25/1.68 ] )
% 1.25/1.68 , clause( 5702, [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_union'( Y, Z,
% 1.25/1.68 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 1.25/1.68 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ), 'c_in'( X,
% 1.25/1.68 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ] )
% 1.25/1.68 , clause( 5703, [ =( 'c_Message_OkeysFor'( 'c_insert'( 'c_Message_OHPair'(
% 1.25/1.68 X, Y ), Z, 'tc_Message_Omsg' ) ), 'c_Message_OkeysFor'( Z ) ) ] )
% 1.25/1.68 , clause( 5704, [ =( 'c_Message_Oparts'( 'c_Message_Oanalz'( X ) ),
% 1.25/1.68 'c_Message_Oparts'( X ) ) ] )
% 1.25/1.68 , clause( 5705, [ ~( 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg'
% 1.25/1.68 ) ), =( 'c_Message_Oparts'( 'c_insert'( X, Y, 'tc_Message_Omsg' ) ),
% 1.25/1.68 'c_Message_Oparts'( Y ) ) ] )
% 1.25/1.68 , clause( 5706, [ =( 'c_Message_Oparts'( 'c_Message_Oparts'( X ) ),
% 1.25/1.68 'c_Message_Oparts'( X ) ) ] )
% 1.25/1.68 , clause( 5707, [ =( 'c_Message_Oparts'( 'c_insert'(
% 1.25/1.68 'c_Message_Omsg_OAgent'( X ), Y, 'tc_Message_Omsg' ) ), 'c_insert'(
% 1.25/1.68 'c_Message_Omsg_OAgent'( X ), 'c_Message_Oparts'( Y ), 'tc_Message_Omsg'
% 1.25/1.68 ) ) ] )
% 1.25/1.68 , clause( 5708, [ =( 'c_Message_Oparts'( 'c_insert'(
% 1.25/1.68 'c_Message_Omsg_OCrypt'( X, Y ), Z, 'tc_Message_Omsg' ) ), 'c_insert'(
% 1.25/1.68 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Oparts'( 'c_insert'( Y, Z,
% 1.25/1.68 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ) ] )
% 1.25/1.68 , clause( 5709, [ =( 'c_Message_Oparts'( 'c_insert'( 'c_Message_OHPair'( X
% 1.25/1.68 , Y ), Z, 'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_OHPair'( X, Y ),
% 1.25/1.68 'c_insert'( 'c_Message_Omsg_OHash'( 'c_Message_Omsg_OMPair'( X, Y ) ),
% 1.25/1.68 'c_Message_Oparts'( 'c_insert'( Y, Z, 'tc_Message_Omsg' ) ),
% 1.25/1.68 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ] )
% 1.25/1.68 , clause( 5710, [ =( 'c_Message_Oparts'( 'c_insert'( 'c_Message_Omsg_OHash'(
% 1.25/1.68 X ), Y, 'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_OHash'( X ),
% 1.25/1.68 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ) ] )
% 1.25/1.68 , clause( 5711, [ =( 'c_Message_Oparts'( 'c_insert'( 'c_Message_Omsg_OKey'(
% 1.25/1.68 X ), Y, 'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_OKey'( X ),
% 1.25/1.68 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ) ] )
% 1.25/1.68 , clause( 5712, [ =( 'c_Message_Oparts'( 'c_insert'(
% 1.25/1.68 'c_Message_Omsg_OMPair'( X, Y ), Z, 'tc_Message_Omsg' ) ), 'c_insert'(
% 1.25/1.68 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'( 'c_insert'( X,
% 1.25/1.68 'c_insert'( Y, Z, 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ),
% 1.25/1.68 'tc_Message_Omsg' ) ) ] )
% 1.25/1.68 , clause( 5713, [ =( 'c_Message_Oparts'( 'c_insert'(
% 1.25/1.68 'c_Message_Omsg_ONonce'( X ), Y, 'tc_Message_Omsg' ) ), 'c_insert'(
% 1.25/1.68 'c_Message_Omsg_ONonce'( X ), 'c_Message_Oparts'( Y ), 'tc_Message_Omsg'
% 1.25/1.68 ) ) ] )
% 1.25/1.68 , clause( 5714, [ =( 'c_Message_Oparts'( 'c_insert'(
% 1.25/1.68 'c_Message_Omsg_ONumber'( X ), Y, 'tc_Message_Omsg' ) ), 'c_insert'(
% 1.25/1.68 'c_Message_Omsg_ONumber'( X ), 'c_Message_Oparts'( Y ), 'tc_Message_Omsg'
% 1.25/1.68 ) ) ] )
% 1.25/1.68 , clause( 5715, [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_Message_Oparts'( Y )
% 1.25/1.68 ), 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oparts'( Y ),
% 1.25/1.68 'tc_Message_Omsg' ) ] )
% 1.25/1.68 , clause( 5716, [ ~( 'c_lessequals'( 'c_Message_Oparts'( X ),
% 1.25/1.68 'c_Message_Oparts'( Y ), 'tc_set'( 'tc_Message_Omsg' ) ) ),
% 1.25/1.68 'c_lessequals'( X, 'c_Message_Oparts'( Y ), 'tc_set'( 'tc_Message_Omsg' )
% 1.25/1.68 ) ] )
% 1.25/1.68 , clause( 5717, [ ~( 'c_lessequals'( X, 'c_Message_Oparts'( Y ), 'tc_set'(
% 1.25/1.68 'tc_Message_Omsg' ) ) ), 'c_lessequals'( 'c_Message_Oparts'( X ),
% 1.25/1.68 'c_Message_Oparts'( Y ), 'tc_set'( 'tc_Message_Omsg' ) ) ] )
% 1.25/1.68 , clause( 5718, [ =( 'c_Message_Oparts'( 'c_Message_Osynth'( X ) ),
% 1.25/1.68 'c_union'( 'c_Message_Oparts'( X ), 'c_Message_Osynth'( X ),
% 1.25/1.68 'tc_Message_Omsg' ) ) ] )
% 1.25/1.68 , clause( 5719, [ ~( 'c_in'( X, 'c_Message_Osynth'( Y ), 'tc_Message_Omsg'
% 1.25/1.68 ) ), ~( 'c_in'( 'c_Message_Omsg_OKey'( Z ), Y, 'tc_Message_Omsg' ) ),
% 1.25/1.68 'c_in'( 'c_Message_Omsg_OCrypt'( Z, X ), 'c_Message_Osynth'( Y ),
% 1.25/1.68 'tc_Message_Omsg' ) ] )
% 1.25/1.68 , clause( 5720, [ ~( 'c_in'( X, 'c_Message_Osynth'( Y ), 'tc_Message_Omsg'
% 1.25/1.68 ) ), 'c_in'( 'c_Message_Omsg_OHash'( X ), 'c_Message_Osynth'( Y ),
% 1.25/1.68 'tc_Message_Omsg' ) ] )
% 1.25/1.68 , clause( 5721, [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X,
% 1.25/1.68 'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ) ] )
% 1.25/1.68 , clause( 5722, [ ~( 'c_in'( X, 'c_Message_Osynth'( Y ), 'tc_Message_Omsg'
% 1.25/1.68 ) ), ~( 'c_in'( Z, 'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ) ),
% 1.25/1.68 'c_in'( 'c_Message_Omsg_OMPair'( Z, X ), 'c_Message_Osynth'( Y ),
% 1.25/1.68 'tc_Message_Omsg' ) ] )
% 1.25/1.68 , clause( 5723, [ ~( 'c_lessequals'( 'c_Message_Osynth'( X ),
% 1.25/1.68 'c_Message_Osynth'( Y ), 'tc_set'( 'tc_Message_Omsg' ) ) ),
% 1.25/1.68 'c_lessequals'( X, 'c_Message_Osynth'( Y ), 'tc_set'( 'tc_Message_Omsg' )
% 1.25/1.68 ) ] )
% 1.25/1.68 , clause( 5724, [ ~( 'c_lessequals'( X, 'c_Message_Osynth'( Y ), 'tc_set'(
% 1.25/1.68 'tc_Message_Omsg' ) ) ), 'c_lessequals'( 'c_Message_Osynth'( X ),
% 1.25/1.68 'c_Message_Osynth'( Y ), 'tc_set'( 'tc_Message_Omsg' ) ) ] )
% 1.25/1.68 , clause( 5725, [ ~( 'c_in'( X, 'c_Message_Osynth'( 'c_Message_Osynth'( Y )
% 1.25/1.68 ), 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Osynth'( Y ),
% 1.25/1.68 'tc_Message_Omsg' ) ] )
% 1.25/1.68 , clause( 5726, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ),
% 1.25/1.68 'c_Event_Oused'( 'c_List_Olist_ONil' ), 'tc_Message_Omsg' ) ) ] )
% 1.25/1.68 , clause( 5727, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 1.25/1.68 'c_Event_Oused'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Event_Oused'(
% 1.25/1.68 Z ), 'tc_Message_Omsg' ) ] )
% 1.25/1.68 , clause( 5728, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ),
% 1.25/1.68 'c_Event_Oused'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Event_Oused'(
% 1.25/1.68 Z ), 'tc_Message_Omsg' ) ] )
% 1.25/1.68 , clause( 5729, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( X ),
% 1.25/1.68 'c_Message_Oparts'( 'c_Event_OinitState'( Y ) ), 'tc_Message_Omsg' ) ) ]
% 1.25/1.68 )
% 1.25/1.68 , clause( 5730, [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( X ), 'c_Event_Oused'(
% 1.25/1.68 'c_List_Olist_ONil' ), 'tc_Message_Omsg' ) ) ] )
% 1.25/1.68 , clause( 5731, [ ~( 'c_in'( X, 'c_Event_Obad', 'tc_Message_Oagent' ) ),
% 1.25/1.68 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( 'c_Public_OpublicKey'(
% 1.25/1.68 Y, X ) ) ), 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Z ),
% 1.25/1.68 'tc_Message_Omsg' ) ] )
% 1.25/1.68 , clause( 5732, [ ~( 'c_in'( X, 'c_Event_Obad', 'tc_Message_Oagent' ) ),
% 1.25/1.68 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X ) ), 'c_Event_Oknows'(
% 1.25/1.68 'c_Message_Oagent_OSpy', Y ), 'tc_Message_Omsg' ) ] )
% 1.25/1.68 , clause( 5733, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OpublicKey'( X,
% 1.25/1.68 Y ) ), 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Z )
% 1.25/1.68 ), 'tc_Message_Omsg' ) ] )
% 1.25/1.68 , clause( 5734, [ ~( 'c_in'( X, 'c_Message_OsymKeys', 'tc_nat' ) ), =(
% 1.25/1.68 'c_Message_OinvKey'( X ), X ) ] )
% 1.25/1.68 , clause( 5735, [ =( 'c_Message_OinvKey'( 'c_Public_OshrK'( X ) ),
% 1.25/1.68 'c_Public_OshrK'( X ) ) ] )
% 1.25/1.68 , clause( 5736, [ =( 'c_Public_Okeymode_Okeymode__case'( X, Y,
% 1.25/1.68 'c_Public_Okeymode_OSignature', Z ), X ) ] )
% 1.25/1.68 , clause( 5737, [ =( 'c_Public_Okeymode_Okeymode__case'( X, Y,
% 1.25/1.68 'c_Public_Okeymode_OEncryption', Z ), Y ) ] )
% 1.25/1.68 , clause( 5738, [ ~( =( 'c_Public_Okeymode_OSignature',
% 1.25/1.68 'c_Public_Okeymode_OEncryption' ) ) ] )
% 1.25/1.68 , clause( 5739, [ ~( =( 'c_Public_Okeymode_OEncryption',
% 1.25/1.68 'c_Public_Okeymode_OSignature' ) ) ] )
% 1.25/1.68 , clause( 5740, [ =( 'c_Public_Okeymode_Okeymode__rec'( X, Y,
% 1.25/1.68 'c_Public_Okeymode_OSignature', Z ), X ) ] )
% 1.25/1.68 , clause( 5741, [ =( 'c_Public_Okeymode_Okeymode__rec'( X, Y,
% 1.25/1.68 'c_Public_Okeymode_OEncryption', Z ), Y ) ] )
% 1.25/1.68 , clause( 5742, [ =( 'c_Nat_Osize'( 'c_Public_Okeymode_OSignature',
% 1.25/1.68 'tc_Public_Okeymode' ), 'c_0' ) ] )
% 1.25/1.68 , clause( 5743, [ =( 'c_Nat_Osize'( 'c_Public_Okeymode_OEncryption',
% 1.25/1.68 'tc_Public_Okeymode' ), 'c_0' ) ] )
% 1.25/1.68 , clause( 5744, [ =( 'c_Message_OkeysFor'( 'c_Message_Oparts'(
% 1.25/1.68 'c_Event_OinitState'( X ) ) ), 'c_emptyset' ) ] )
% 1.25/1.68 , clause( 5745, [ ~( 'c_in'( 'c_Message_OinvKey'( 'c_Public_OpublicKey'( X
% 1.25/1.68 , Y ) ), 'c_Message_OsymKeys', 'tc_nat' ) ) ] )
% 1.25/1.68 , clause( 5746, [ ~( 'c_in'( 'c_Public_OpublicKey'( X, Y ),
% 1.25/1.68 'c_Message_OsymKeys', 'tc_nat' ) ) ] )
% 1.25/1.68 , clause( 5747, [ ~( =( 'c_Message_OinvKey'( 'c_Public_OpublicKey'(
% 1.25/1.68 'c_Public_Okeymode_OEncryption', X ) ), 'c_Public_OshrK'( Y ) ) ) ] )
% 1.25/1.68 , clause( 5748, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'(
% 1.25/1.68 'c_Public_OpublicKey'( X, Y ) ) ), 'c_Event_OinitState'( Y ),
% 1.25/1.68 'tc_Message_Omsg' ) ] )
% 1.25/1.68 , clause( 5749, [ ~( =( 'c_Public_OshrK'( X ), 'c_Message_OinvKey'(
% 1.25/1.68 'c_Public_OpublicKey'( Y, Z ) ) ) ) ] )
% 1.25/1.68 , clause( 5750, [ ~( =( 'c_Message_OinvKey'( 'c_Public_OpublicKey'( X, Y )
% 1.25/1.68 ), 'c_Public_OpublicKey'( Z, T ) ) ) ] )
% 1.25/1.68 , clause( 5751, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'(
% 1.25/1.68 'c_Public_OpublicKey'( X, Y ) ) ), 'c_Event_Oused'( Z ),
% 1.25/1.68 'tc_Message_Omsg' ) ] )
% 1.25/1.68 , clause( 5752, [ ~( =( 'c_Public_OshrK'( X ), 'c_Public_OpublicKey'( Y, Z
% 1.25/1.68 ) ) ) ] )
% 1.25/1.68 , clause( 5753, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OpublicKey'( X,
% 1.25/1.68 Y ) ), 'c_Event_OinitState'( Z ), 'tc_Message_Omsg' ) ] )
% 1.25/1.68 , clause( 5754, [ ~( =( 'c_Public_OpublicKey'( X, Y ),
% 1.25/1.68 'c_Public_OpublicKey'( Z, T ) ) ), =( X, Z ) ] )
% 1.25/1.68 , clause( 5755, [ ~( =( 'c_Public_OpublicKey'( X, Y ),
% 1.25/1.68 'c_Public_OpublicKey'( Z, T ) ) ), =( Y, T ) ] )
% 1.25/1.68 , clause( 5756, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OpublicKey'( X,
% 1.25/1.68 Y ) ), 'c_Event_Oused'( Z ), 'tc_Message_Omsg' ) ] )
% 1.25/1.68 , clause( 5757, [ ~( =( 'c_Public_OpublicKey'( X, Y ), 'c_Message_OinvKey'(
% 1.25/1.68 'c_Public_OpublicKey'( Z, T ) ) ) ) ] )
% 1.25/1.68 , clause( 5758, [ 'c_in'( 'c_Public_OshrK'( X ), 'c_Message_OsymKeys',
% 1.25/1.68 'tc_nat' ) ] )
% 1.25/1.68 , clause( 5759, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X ) ),
% 1.25/1.68 'c_Event_OinitState'( X ), 'tc_Message_Omsg' ) ] )
% 1.25/1.68 , clause( 5760, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X ) ),
% 1.25/1.68 'c_Event_Oknows'( X, Y ), 'tc_Message_Omsg' ) ] )
% 1.25/1.68 , clause( 5761, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X ) ),
% 1.25/1.68 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ] )
% 1.25/1.68 , clause( 5762, [ ~( =( 'c_Public_OshrK'( X ), 'c_Public_OshrK'( Y ) ) ),
% 1.25/1.68 =( X, Y ) ] )
% 1.25/1.68 , clause( 5763, [ ~( =( 'c_Message_OinvKey'( 'c_Public_OpublicKey'( X, Y )
% 1.25/1.68 ), 'c_Public_OshrK'( Z ) ) ) ] )
% 1.25/1.68 , clause( 5764, [ ~( =( 'c_Public_OpublicKey'( X, Y ), 'c_Public_OshrK'( Z
% 1.25/1.68 ) ) ) ] )
% 1.25/1.68 , clause( 5765, [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OpublicKey'( X,
% 1.25/1.68 Y ) ), 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Z ), 'tc_Message_Omsg'
% 1.25/1.68 ) ] )
% 1.25/1.68 , clause( 5766, [ ~( 'c_in'( 'c_Message_OinvKey'( X ), 'c_Message_OsymKeys'
% 1.25/1.68 , 'tc_nat' ) ), 'c_in'( X, 'c_Message_OsymKeys', 'tc_nat' ) ] )
% 1.25/1.68 , clause( 5767, [ ~( 'c_in'( X, 'c_Message_OsymKeys', 'tc_nat' ) ), 'c_in'(
% 1.25/1.68 'c_Message_OinvKey'( X ), 'c_Message_OsymKeys', 'tc_nat' ) ] )
% 1.25/1.68 , clause( 5768, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X, Y, Z ),
% 1.25/1.68 'c_List_Oset'( T, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z,
% 1.25/1.68 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', T ) ),
% 1.25/1.68 'tc_Message_Omsg' ) ] )
% 1.25/1.68 , clause( 5769, [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_insert'( Y, Z,
% 1.25/1.68 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ), ~( 'c_in'( Y,
% 1.25/1.68 'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ) ),
% 1.25/1.68 'c_in'( X, 'c_union'( 'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ),
% 1.25/1.68 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ] )
% 1.25/1.68 , clause( 5770, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ),
% 1.25/1.68 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 1.25/1.68 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 1.25/1.68 , clause( 5771, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 1.25/1.68 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y, Z ),
% 1.25/1.68 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z,
% 1.25/1.68 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ),
% 1.25/1.68 'tc_Message_Omsg' ) ] )
% 1.25/1.68 , clause( 5772, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 1.25/1.68 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Message_Omsg_OKey'(
% 1.25/1.68 'c_Public_OshrK'( Y ) ), 'c_Message_Oanalz'( 'c_Event_Oknows'(
% 1.25/1.68 'c_Message_Oagent_OSpy', X ) ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 1.25/1.68 'c_Event_Obad', 'tc_Message_Oagent' ) ] )
% 1.25/1.68 , clause( 5773, [ ~( 'c_in'( X, 'c_Event_Obad', 'tc_Message_Oagent' ) ),
% 1.25/1.68 ~( 'c_in'( Y, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent' )
% 1.25/1.68 ) ), 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X ) ),
% 1.25/1.68 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Y ) ),
% 1.25/1.68 'tc_Message_Omsg' ) ] )
% 1.25/1.68 , clause( 5774, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 1.25/1.68 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Message_Omsg_OKey'(
% 1.25/1.68 'c_Public_OshrK'( Y ) ), 'c_Message_Oparts'( 'c_Event_Oknows'(
% 1.25/1.68 'c_Message_Oagent_OSpy', X ) ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 1.25/1.68 'c_Event_Obad', 'tc_Message_Oagent' ) ] )
% 1.25/1.68 , clause( 5775, [ ~( 'c_in'( X, 'c_Event_Obad', 'tc_Message_Oagent' ) ),
% 1.25/1.68 ~( 'c_in'( Y, 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent' )
% 1.25/1.68 ) ), 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( X ) ),
% 1.25/1.68 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Y ) ),
% 1.25/1.68 'tc_Message_Omsg' ) ] )
% 1.25/1.68 , clause( 5776, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 1.25/1.68 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'(
% 1.25/1.68 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 1.25/1.68 Z ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( T ),
% 1.25/1.68 'c_Message_Omsg_OMPair'( U, W ) ) ) ), 'c_Message_Oparts'(
% 1.25/1.68 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', X ) ), 'tc_Message_Omsg' ) ),
% 1.25/1.68 'c_in'( Y, 'c_Event_Obad', 'tc_Message_Oagent' ), 'c_in'(
% 1.25/1.68 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', Y,
% 1.25/1.68 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ),
% 1.25/1.68 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( Z ),
% 1.25/1.68 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( T ),
% 1.25/1.68 'c_Message_Omsg_OMPair'( U, W ) ) ) ), 'c_Message_Omsg_OCrypt'(
% 1.25/1.68 'c_Public_OshrK'( Z ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 1.25/1.68 Y ), 'c_Message_Omsg_OKey'( T ) ) ) ) ), 'c_List_Oset'( X,
% 1.25/1.68 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 1.25/1.68 , clause( 5777, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 1.25/1.68 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OGets'( Y, Z ),
% 1.25/1.68 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'(
% 1.25/1.68 'c_Event_Oevent_OSays'( 'v_sko__wPE'( Y, Z, X ), Y, Z ), 'c_List_Oset'( X
% 1.25/1.68 , 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 1.25/1.68 , clause( 5778, [ ~( 'c_Yahalom_OKeyWithNonce'( X, Y, 'c_List_Olist_OCons'(
% 1.25/1.68 'c_Event_Oevent_OGets'( Z, T ), U, 'tc_Event_Oevent' ) ) ),
% 1.25/1.68 'c_Yahalom_OKeyWithNonce'( X, Y, U ) ] )
% 1.25/1.68 , clause( 5779, [ ~( 'c_Yahalom_OKeyWithNonce'( X, Y, Z ) ),
% 1.25/1.68 'c_Yahalom_OKeyWithNonce'( X, Y, 'c_List_Olist_OCons'(
% 1.25/1.68 'c_Event_Oevent_OGets'( T, U ), Z, 'tc_Event_Oevent' ) ) ] )
% 1.25/1.68 , clause( 5780, [ ~( 'c_Yahalom_OKeyWithNonce'( X, Y, 'c_List_Olist_OCons'(
% 1.25/1.68 'c_Event_Oevent_ONotes'( Z, T ), U, 'tc_Event_Oevent' ) ) ),
% 1.25/1.68 'c_Yahalom_OKeyWithNonce'( X, Y, U ) ] )
% 1.25/1.68 , clause( 5781, [ ~( 'c_Yahalom_OKeyWithNonce'( X, Y, Z ) ),
% 1.25/1.68 'c_Yahalom_OKeyWithNonce'( X, Y, 'c_List_Olist_OCons'(
% 1.25/1.68 'c_Event_Oevent_ONotes'( T, U ), Z, 'tc_Event_Oevent' ) ) ] )
% 1.25/1.68 , clause( 5782, [ ~( 'c_Yahalom_OKeyWithNonce'( X, Y, 'c_List_Olist_OCons'(
% 1.25/1.68 'c_Event_Oevent_OSays'( Z, T, U ), W, 'tc_Event_Oevent' ) ) ),
% 1.25/1.68 'c_Yahalom_OKeyWithNonce'( X, Y, W ), =( 'c_Message_Oagent_OServer', Z )
% 1.25/1.68 ] )
% 1.25/1.68 , clause( 5783, [ ~( 'c_Yahalom_OKeyWithNonce'( X, Y, 'c_List_Olist_OCons'(
% 1.25/1.68 'c_Event_Oevent_OSays'( Z, T, U ), W, 'tc_Event_Oevent' ) ) ),
% 1.25/1.68 'c_Yahalom_OKeyWithNonce'( X, Y, W ), =( U, 'c_Message_Omsg_OMPair'(
% 1.25/1.68 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( T ), 'c_Message_Omsg_OMPair'(
% 1.25/1.68 'c_Message_Omsg_OAgent'( 'v_sko__2VZ'( T, X, Y, U ) ),
% 1.25/1.68 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( X ),
% 1.25/1.68 'c_Message_Omsg_OMPair'( 'v_sko__2Va'( T, X, Y, U ),
% 1.25/1.68 'c_Message_Omsg_ONonce'( Y ) ) ) ) ), 'v_sko__2Vb'( T, X, Y, U ) ) ) ] )
% 1.25/1.68 , clause( 5784, [ 'c_Yahalom_OKeyWithNonce'( X, Y, 'c_List_Olist_OCons'(
% 1.25/1.68 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', Z,
% 1.25/1.68 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Z ),
% 1.25/1.68 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( T ),
% 1.25/1.68 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( X ),
% 1.25/1.68 'c_Message_Omsg_OMPair'( U, 'c_Message_Omsg_ONonce'( Y ) ) ) ) ), W ) ),
% 1.25/1.68 V0, 'tc_Event_Oevent' ) ) ] )
% 1.25/1.68 , clause( 5785, [ ~( 'c_Yahalom_OKeyWithNonce'( X, Y, Z ) ),
% 1.25/1.68 'c_Yahalom_OKeyWithNonce'( X, Y, 'c_List_Olist_OCons'(
% 1.25/1.68 'c_Event_Oevent_OSays'( T, U, W ), Z, 'tc_Event_Oevent' ) ) ] )
% 1.25/1.68 , clause( 5786, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 1.25/1.68 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OSays'(
% 1.25/1.68 'c_Message_Oagent_OServer', Y, 'c_Message_Omsg_OMPair'(
% 1.25/1.68 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'(
% 1.25/1.68 'c_Message_Omsg_OAgent'( Z ), 'c_Message_Omsg_OMPair'(
% 1.25/1.68 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( T ) ), 'c_Message_Omsg_OMPair'(
% 1.25/1.68 U, W ) ) ) ), V0 ) ), 'c_List_Oset'( X, 'tc_Event_Oevent' ),
% 1.25/1.68 'tc_Event_Oevent' ) ) ] )
% 1.25/1.68 , clause( 5787, [ ~( 'c_in'( X, 'c_Message_OkeysFor'( 'c_Message_Oparts'(
% 1.25/1.68 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Y ) ) ), 'tc_nat' ) ), ~(
% 1.25/1.68 'c_in'( X, 'c_Message_OsymKeys', 'tc_nat' ) ), ~( 'c_in'( Y,
% 1.25/1.68 'c_Yahalom_Oyahalom', 'tc_List_Olist'( 'tc_Event_Oevent' ) ) ), 'c_in'(
% 1.25/1.68 'c_Message_Omsg_OKey'( X ), 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ]
% 1.25/1.68 )
% 1.25/1.68 , clause( 5788, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X, Y, Z ),
% 1.25/1.68 'c_List_Oset'( T, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z,
% 1.25/1.68 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', T ), 'tc_Message_Omsg' ) ] )
% 1.25/1.68 , clause( 5789, [ ~( 'c_in'( X, 'c_Event_Obad', 'tc_Message_Oagent' ) ),
% 1.25/1.68 ~( 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( X ), Y ),
% 1.25/1.68 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Z ) ),
% 1.25/1.68 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oanalz'( 'c_Event_Oknows'(
% 1.25/1.68 'c_Message_Oagent_OSpy', Z ) ), 'tc_Message_Omsg' ) ] )
% 1.25/1.68 , clause( 5790, [ ~( 'c_in'( X, 'c_Message_OsymKeys', 'tc_nat' ) ), ~(
% 1.25/1.68 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), Z, 'tc_Message_Omsg' ) ), 'c_in'(
% 1.25/1.68 X, 'c_Message_OkeysFor'( Z ), 'tc_nat' ) ] )
% 1.25/1.68 , clause( 5791, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 1.25/1.68 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Message_Omsg_OCrypt'(
% 1.25/1.68 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'(
% 1.25/1.68 Z ), 'c_Message_Omsg_OKey'( T ) ) ), 'c_Message_Oparts'( 'c_Event_Oknows'(
% 1.25/1.68 'c_Message_Oagent_OSpy', X ) ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 1.25/1.68 'c_Event_Obad', 'tc_Message_Oagent' ), 'c_in'( 'c_Event_Oevent_OSays'(
% 1.25/1.68 'c_Message_Oagent_OServer', Z, 'c_Message_Omsg_OMPair'(
% 1.25/1.68 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Z ), 'c_Message_Omsg_OMPair'(
% 1.25/1.68 'c_Message_Omsg_OAgent'( Y ), 'c_Message_Omsg_OMPair'(
% 1.25/1.68 'c_Message_Omsg_OKey'( T ), 'c_Message_Omsg_OMPair'(
% 1.25/1.68 'c_Message_Omsg_ONonce'( 'v_sko__2ji'( Z, Y, T, X ) ),
% 1.25/1.68 'c_Message_Omsg_ONonce'( 'v_sko__2jj'( Z, Y, T, X ) ) ) ) ) ),
% 1.25/1.68 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'(
% 1.25/1.68 'c_Message_Omsg_OAgent'( Z ), 'c_Message_Omsg_OKey'( T ) ) ) ) ),
% 1.25/1.68 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 1.25/1.68 , clause( 5792, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 1.25/1.68 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OSays'(
% 1.25/1.68 'c_Message_Oagent_OServer', Y, 'c_Message_Omsg_OMPair'(
% 1.25/1.68 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'(
% 1.25/1.68 'c_Message_Omsg_OAgent'( Z ), 'c_Message_Omsg_OMPair'(
% 1.25/1.68 'c_Message_Omsg_OKey'( T ), 'c_Message_Omsg_OMPair'( U, W ) ) ) ), V0 ) )
% 1.25/1.68 , 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), ~( 'c_in'(
% 1.25/1.68 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', V1,
% 1.25/1.68 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( V1 )
% 1.25/1.68 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( V2 ),
% 1.25/1.68 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( T ),
% 1.25/1.68 'c_Message_Omsg_OMPair'( V3, V4 ) ) ) ), V5 ) ), 'c_List_Oset'( X,
% 1.25/1.68 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), =( V1, Y ) ] )
% 1.25/1.68 , clause( 5793, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 1.25/1.68 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OSays'(
% 1.25/1.68 'c_Message_Oagent_OServer', Y, 'c_Message_Omsg_OMPair'(
% 1.25/1.68 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'(
% 1.25/1.68 'c_Message_Omsg_OAgent'( Z ), 'c_Message_Omsg_OMPair'(
% 1.25/1.68 'c_Message_Omsg_OKey'( T ), 'c_Message_Omsg_OMPair'( U, W ) ) ) ), V0 ) )
% 1.25/1.68 , 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), ~( 'c_in'(
% 1.25/1.68 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', V1,
% 1.25/1.68 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( V1 )
% 1.25/1.68 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( V2 ),
% 1.25/1.68 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( T ),
% 1.25/1.68 'c_Message_Omsg_OMPair'( V3, V4 ) ) ) ), V5 ) ), 'c_List_Oset'( X,
% 1.25/1.68 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), =( V2, Z ) ] )
% 1.25/1.68 , clause( 5794, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 1.25/1.68 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OSays'(
% 1.25/1.68 'c_Message_Oagent_OServer', Y, 'c_Message_Omsg_OMPair'(
% 1.25/1.68 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'(
% 1.25/1.68 'c_Message_Omsg_OAgent'( Z ), 'c_Message_Omsg_OMPair'(
% 1.25/1.68 'c_Message_Omsg_OKey'( T ), 'c_Message_Omsg_OMPair'( U, W ) ) ) ), V0 ) )
% 1.25/1.68 , 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), ~( 'c_in'(
% 1.25/1.68 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', V1,
% 1.25/1.68 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( V1 )
% 1.25/1.68 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( V2 ),
% 1.25/1.68 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( T ),
% 1.25/1.68 'c_Message_Omsg_OMPair'( V3, V4 ) ) ) ), V5 ) ), 'c_List_Oset'( X,
% 1.25/1.68 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), =( V3, U ) ] )
% 1.25/1.68 , clause( 5795, [ ~( 'c_in'( X, 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 1.25/1.68 'tc_Event_Oevent' ) ) ), ~( 'c_in'( 'c_Event_Oevent_OSays'(
% 1.25/1.68 'c_Message_Oagent_OServer', Y, 'c_Message_Omsg_OMPair'(
% 1.25/1.68 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( Y ), 'c_Message_Omsg_OMPair'(
% 1.25/1.68 'c_Message_Omsg_OAgent'( Z ), 'c_Message_Omsg_OMPair'(
% 1.25/1.68 'c_Message_Omsg_OKey'( T ), 'c_Message_Omsg_OMPair'( U, W ) ) ) ), V0 ) )
% 1.25/1.68 , 'c_List_Oset'( X, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), ~( 'c_in'(
% 1.25/1.68 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', V1,
% 1.25/1.68 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( V1 )
% 1.25/1.68 , 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( V2 ),
% 1.25/1.68 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( T ),
% 1.25/1.68 'c_Message_Omsg_OMPair'( V3, V4 ) ) ) ), V5 ) ), 'c_List_Oset'( X,
% 1.25/1.68 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), =( V4, W ) ] )
% 1.25/1.68 , clause( 5796, [ 'c_in'( 'v_evs4', 'c_Yahalom_Oyahalom', 'tc_List_Olist'(
% 1.25/1.69 'tc_Event_Oevent' ) ) ] )
% 1.25/1.69 , clause( 5797, [ ~( =( 'v_Aa', 'c_Message_Oagent_OServer' ) ) ] )
% 1.25/1.69 , clause( 5798, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( 'v_A', 'v_B',
% 1.25/1.69 'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OCrypt'( 'v_K',
% 1.25/1.69 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ), 'c_List_Oset'( 'v_evs4',
% 1.25/1.69 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 1.25/1.69 , clause( 5799, [ ~( =( X, 'v_X' ) ), ~( =( 'v_B', 'v_Ba' ) ), ~( =( 'v_A'
% 1.25/1.69 , 'v_Aa' ) ) ] )
% 1.25/1.69 , clause( 5800, [ 'c_in'( 'v_K', 'c_Message_OsymKeys', 'tc_nat' ) ] )
% 1.25/1.69 , clause( 5801, [ 'c_in'( 'c_Event_Oevent_OGets'( 'v_Aa',
% 1.25/1.69 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'(
% 1.25/1.69 'v_Aa' ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_Ba' ),
% 1.25/1.69 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OKey'( 'v_K' ),
% 1.25/1.69 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ),
% 1.25/1.69 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ) ), 'v_X' ) ), 'c_List_Oset'(
% 1.25/1.69 'v_evs4', 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 1.25/1.69 , clause( 5802, [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_Aa', 'v_Ba',
% 1.25/1.69 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_Aa' ),
% 1.25/1.69 'c_Message_Omsg_ONonce'( 'v_NA' ) ) ), 'c_List_Oset'( 'v_evs4',
% 1.25/1.69 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 1.25/1.69 , clause( 5803, [ 'c_in'( 'v_X', 'c_Message_Oparts'( 'c_Event_Oknows'(
% 1.25/1.69 'c_Message_Oagent_OSpy', 'v_evs4' ) ), 'tc_Message_Omsg' ) ] )
% 1.25/1.69 , clause( 5804, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ),
% 1.25/1.69 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evs4' )
% 1.25/1.69 ), 'tc_Message_Omsg' ) ) ] )
% 1.25/1.69 , clause( 5805, [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_A', 'v_B',
% 1.25/1.69 'c_Message_Omsg_OMPair'( 'v_Xa', 'c_Message_Omsg_OCrypt'( 'v_K',
% 1.25/1.69 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ), 'c_List_Oset'( 'v_evs4',
% 1.25/1.69 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 1.25/1.69 , clause( 5806, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B'
% 1.25/1.69 ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OAgent'( 'v_A' ),
% 1.25/1.69 'c_Message_Omsg_OKey'( 'v_K' ) ) ), 'c_Message_Oparts'( 'c_Event_Oknows'(
% 1.25/1.69 'c_Message_Oagent_OSpy', 'v_evs4' ) ), 'tc_Message_Omsg' ) ] )
% 1.25/1.69 , clause( 5807, [ ~( 'c_in'( 'v_B', 'c_Event_Obad', 'tc_Message_Oagent' ) )
% 1.25/1.69 ] )
% 1.25/1.69 ] ).
% 1.25/1.69
% 1.25/1.69
% 1.25/1.69
% 1.25/1.69 subsumption(
% 1.25/1.69 clause( 2827, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( 'v_A', 'v_B',
% 1.25/1.69 'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OCrypt'( 'v_K',
% 1.25/1.69 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ), 'c_List_Oset'( 'v_evs4',
% 1.25/1.69 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 1.25/1.69 , clause( 5798, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( 'v_A', 'v_B',
% 1.25/1.69 'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OCrypt'( 'v_K',
% 1.25/1.69 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ), 'c_List_Oset'( 'v_evs4',
% 1.25/1.69 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 1.25/1.69 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.25/1.69
% 1.25/1.69
% 1.25/1.69 resolution(
% 1.25/1.69 clause( 9304, [] )
% 1.25/1.69 , clause( 2827, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( 'v_A', 'v_B',
% 1.25/1.69 'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OCrypt'( 'v_K',
% 1.25/1.69 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ), 'c_List_Oset'( 'v_evs4',
% 1.25/1.69 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ) ] )
% 1.25/1.69 , 0, clause( 5805, [ 'c_in'( 'c_Event_Oevent_OSays'( 'v_A', 'v_B',
% 1.25/1.69 'c_Message_Omsg_OMPair'( 'v_Xa', 'c_Message_Omsg_OCrypt'( 'v_K',
% 1.25/1.69 'c_Message_Omsg_ONonce'( 'v_NB' ) ) ) ), 'c_List_Oset'( 'v_evs4',
% 1.25/1.69 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 1.25/1.69 , 0, substitution( 0, [ :=( X, 'v_Xa' )] ), substitution( 1, [] )).
% 1.25/1.69
% 1.25/1.69
% 1.25/1.69 subsumption(
% 1.25/1.69 clause( 2834, [] )
% 1.25/1.69 , clause( 9304, [] )
% 1.25/1.69 , substitution( 0, [] ), permutation( 0, [] ) ).
% 1.25/1.69
% 1.25/1.69
% 1.25/1.69 end.
% 1.25/1.69
% 1.25/1.69 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.25/1.69
% 1.25/1.69 Memory use:
% 1.25/1.69
% 1.25/1.69 space for terms: 123012
% 1.25/1.69 space for clauses: 216733
% 1.25/1.69
% 1.25/1.69
% 1.25/1.69 clauses generated: 2970
% 1.25/1.69 clauses kept: 2835
% 1.25/1.69 clauses selected: 0
% 1.25/1.69 clauses deleted: 0
% 1.25/1.69 clauses inuse deleted: 0
% 1.25/1.69
% 1.25/1.69 subsentry: 23304
% 1.25/1.69 literals s-matched: 9766
% 1.25/1.69 literals matched: 9742
% 1.25/1.69 full subsumption: 728
% 1.25/1.69
% 1.25/1.69 checksum: -1640044164
% 1.25/1.69
% 1.25/1.69
% 1.25/1.69 Bliksem ended
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