TSTP Solution File: SWV279-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV279-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n003.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 16:23:33 EDT 2022
% Result : Timeout 300.08s 300.50s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV279-1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Wed Jun 15 14:46:26 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.17/1.60 *** allocated 10000 integers for termspace/termends
% 1.17/1.60 *** allocated 10000 integers for clauses
% 1.17/1.60 *** allocated 10000 integers for justifications
% 1.17/1.60 *** allocated 15000 integers for termspace/termends
% 1.17/1.60 *** allocated 22500 integers for termspace/termends
% 1.17/1.60 *** allocated 33750 integers for termspace/termends
% 1.17/1.60 *** allocated 50625 integers for termspace/termends
% 1.17/1.60 Bliksem 1.12
% 1.17/1.60
% 1.17/1.60
% 1.17/1.60 Automatic Strategy Selection
% 1.17/1.60
% 1.17/1.60 Clauses:
% 1.17/1.60 [
% 1.17/1.60 [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ),
% 1.17/1.60 'c_Datatype__Universe_OLeaf'( T, Y, Z ) ) ), =( X, T ) ],
% 1.17/1.60 [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ),
% 1.17/1.60 'c_Datatype__Universe_ONumb'( T, Y, Z ) ) ), =( X, T ) ],
% 1.17/1.60 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U ), 'tc_prod'(
% 1.17/1.60 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.17/1.60 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), =( X, 'c_Pair'(
% 1.17/1.60 'c_Datatype__Universe_OScons'( 'c_Main_OdprodE__1'( X, Y, Z, T, U ),
% 1.17/1.60 'c_Main_OdprodE__2'( X, Y, Z, T, U ), T, U ),
% 1.17/1.60 'c_Datatype__Universe_OScons'( 'c_Main_OdprodE__3'( X, Y, Z, T, U ),
% 1.17/1.60 'c_Main_OdprodE__4'( X, Y, Z, T, U ), T, U ), 'tc_set'(
% 1.17/1.60 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.17/1.60 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.17/1.60 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U ), 'tc_prod'(
% 1.17/1.60 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.17/1.60 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 1.17/1.60 'c_Main_OdprodE__2'( X, Y, Z, T, U ), 'c_Main_OdprodE__4'( X, Y, Z, T, U
% 1.17/1.60 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.17/1.60 'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'(
% 1.17/1.60 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.17/1.60 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.17/1.60 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U ), 'tc_prod'(
% 1.17/1.60 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.17/1.60 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 1.17/1.60 'c_Main_OdprodE__1'( X, Y, Z, T, U ), 'c_Main_OdprodE__3'( X, Y, Z, T, U
% 1.17/1.60 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.17/1.60 'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'(
% 1.17/1.60 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.17/1.60 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.17/1.60 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 1.17/1.60 , T ) ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U,
% 1.17/1.60 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.17/1.60 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), ~( 'c_in'( 'c_Pair'( W, V0
% 1.17/1.60 , 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.17/1.60 'tc_Datatype__Universe_Onode'( Z, T ) ) ), V1, 'tc_prod'( 'tc_set'(
% 1.17/1.60 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.17/1.60 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'(
% 1.17/1.60 'c_Datatype__Universe_OScons'( W, X, Z, T ),
% 1.17/1.60 'c_Datatype__Universe_OScons'( V0, Y, Z, T ), 'tc_set'(
% 1.17/1.60 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.17/1.60 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odprod'(
% 1.17/1.60 V1, U, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.17/1.60 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ],
% 1.17/1.60 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'(
% 1.17/1.60 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.17/1.60 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), =( X, 'c_Pair'(
% 1.17/1.60 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__1'( Y, X, T, U ), T, U ),
% 1.17/1.60 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__2'( Y, X, T, U ), T, U ),
% 1.17/1.60 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.17/1.60 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'(
% 1.17/1.60 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__3'( Z, X, T, U ), T, U ),
% 1.17/1.60 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__4'( Z, X, T, U ), T, U ),
% 1.17/1.60 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.17/1.60 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.17/1.60 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'(
% 1.17/1.60 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.17/1.60 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 1.17/1.60 'c_Main_OdsumE__3'( Z, X, T, U ), 'c_Main_OdsumE__4'( Z, X, T, U ),
% 1.17/1.60 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.17/1.60 'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'(
% 1.17/1.60 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.17/1.60 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'(
% 1.17/1.60 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__1'( Y, X, T, U ), T, U ),
% 1.17/1.60 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__2'( Y, X, T, U ), T, U ),
% 1.17/1.60 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.17/1.60 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.17/1.60 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'(
% 1.17/1.60 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.17/1.60 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 1.17/1.60 'c_Main_OdsumE__1'( Y, X, T, U ), 'c_Main_OdsumE__2'( Y, X, T, U ),
% 1.17/1.60 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.17/1.60 'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'(
% 1.17/1.60 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.17/1.60 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'(
% 1.17/1.60 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__3'( Z, X, T, U ), T, U ),
% 1.17/1.60 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__4'( Z, X, T, U ), T, U ),
% 1.17/1.60 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.17/1.60 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.17/1.60 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'(
% 1.17/1.60 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.17/1.60 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 1.17/1.60 'c_Main_OdsumE__1'( Y, X, T, U ), 'c_Main_OdsumE__2'( Y, X, T, U ),
% 1.17/1.60 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.17/1.60 'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'(
% 1.17/1.60 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.17/1.60 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Pair'(
% 1.17/1.60 'c_Main_OdsumE__3'( Z, X, T, U ), 'c_Main_OdsumE__4'( Z, X, T, U ),
% 1.17/1.60 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.17/1.60 'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'(
% 1.17/1.60 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.17/1.60 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.17/1.60 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 1.17/1.60 , T ) ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U,
% 1.17/1.60 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.17/1.60 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'(
% 1.17/1.60 'c_Datatype__Universe_OIn0'( X, Z, T ), 'c_Datatype__Universe_OIn0'( Y, Z
% 1.17/1.60 , T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.17/1.60 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odsum'(
% 1.17/1.60 U, W, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.17/1.60 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ],
% 1.17/1.60 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 1.17/1.60 , T ) ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U,
% 1.17/1.60 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.17/1.60 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'(
% 1.17/1.60 'c_Datatype__Universe_OIn1'( X, Z, T ), 'c_Datatype__Universe_OIn1'( Y, Z
% 1.17/1.60 , T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.17/1.60 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odsum'(
% 1.17/1.60 W, U, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.17/1.60 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ],
% 1.17/1.60 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U ), 'tc_set'(
% 1.17/1.60 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X,
% 1.17/1.60 'c_Datatype__Universe_OScons'( 'c_Main_OuprodE__1'( Y, Z, X, T, U ),
% 1.17/1.60 'c_Main_OuprodE__2'( Y, Z, X, T, U ), T, U ) ) ],
% 1.17/1.60 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U ), 'tc_set'(
% 1.17/1.60 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OuprodE__2'(
% 1.17/1.60 Y, Z, X, T, U ), Z, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ]
% 1.17/1.60 ,
% 1.17/1.60 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U ), 'tc_set'(
% 1.17/1.60 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OuprodE__1'(
% 1.17/1.60 Y, Z, X, T, U ), Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ]
% 1.17/1.60 ,
% 1.17/1.60 [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 1.17/1.60 , ~( 'c_in'( U, W, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 1.17/1.60 , 'c_in'( 'c_Datatype__Universe_OScons'( U, X, Z, T ),
% 1.17/1.60 'c_Datatype__Universe_Ouprod'( W, Y, Z, T ), 'tc_set'(
% 1.17/1.60 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ],
% 1.17/1.60 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'(
% 1.17/1.60 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X,
% 1.17/1.60 'c_Datatype__Universe_OIn0'( 'c_Main_OusumE__1'( Y, X, T, U ), T, U ) ),
% 1.17/1.60 =( X, 'c_Datatype__Universe_OIn1'( 'c_Main_OusumE__2'( Z, X, T, U ), T, U
% 1.17/1.60 ) ) ],
% 1.17/1.60 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'(
% 1.17/1.60 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OusumE__2'(
% 1.17/1.60 Z, X, T, U ), Z, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ), =(
% 1.17/1.60 X, 'c_Datatype__Universe_OIn0'( 'c_Main_OusumE__1'( Y, X, T, U ), T, U )
% 1.17/1.60 ) ],
% 1.17/1.60 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'(
% 1.17/1.60 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OusumE__1'(
% 1.17/1.60 Y, X, T, U ), Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ), =(
% 1.17/1.60 X, 'c_Datatype__Universe_OIn1'( 'c_Main_OusumE__2'( Z, X, T, U ), T, U )
% 1.17/1.60 ) ],
% 1.17/1.60 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'(
% 1.17/1.60 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OusumE__1'(
% 1.17/1.60 Y, X, T, U ), Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ),
% 1.17/1.60 'c_in'( 'c_Main_OusumE__2'( Z, X, T, U ), Z, 'tc_set'(
% 1.17/1.60 'tc_Datatype__Universe_Onode'( T, U ) ) ) ],
% 1.17/1.60 [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 1.17/1.60 , 'c_in'( 'c_Datatype__Universe_OIn0'( X, Z, T ),
% 1.17/1.60 'c_Datatype__Universe_Ousum'( Y, U, Z, T ), 'tc_set'(
% 1.17/1.60 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ],
% 1.17/1.60 [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 1.17/1.60 , 'c_in'( 'c_Datatype__Universe_OIn1'( X, Z, T ),
% 1.17/1.60 'c_Datatype__Universe_Ousum'( U, Y, Z, T ), 'tc_set'(
% 1.17/1.60 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ],
% 1.17/1.60 [ 'c_Divides_Oop_Advd'( X, 'c_0', 'tc_nat' ) ],
% 1.17/1.60 [ 'c_Divides_Oop_Advd'( 'c_Suc'( 'c_0' ), X, 'tc_nat' ) ],
% 1.17/1.60 [ 'c_Divides_Oop_Advd'( X, 'c_times'( X, Y, 'tc_nat' ), 'tc_nat' ) ]
% 1.17/1.60 ,
% 1.17/1.60 [ 'c_Divides_Oop_Advd'( X, 'c_times'( Y, X, 'tc_nat' ), 'tc_nat' ) ]
% 1.17/1.60 ,
% 1.17/1.60 [ ~( =( 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ), 'c_0' ) ), =( X,
% 1.17/1.60 'c_times'( Y, 'c_Main_Omod__eq__0D__dest__1'( Y, X ), 'tc_nat' ) ) ],
% 1.17/1.60 [ 'c_in'( 'c_emptyset', 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ],
% 1.17/1.60 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'(
% 1.17/1.60 'c_insert'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 1.17/1.60 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'(
% 1.17/1.60 'c_inter'( X, Z, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 1.17/1.60 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'(
% 1.17/1.60 'c_inter'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 1.17/1.60 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'( Y ) ) ) )
% 1.17/1.60 , 'c_in'( 'c_Main_Ofinite__Union__1'( X, Y ), X, 'tc_set'( Y ) ), 'c_in'(
% 1.17/1.60 'c_Union'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 1.17/1.60 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'( Y ) ) ) )
% 1.17/1.60 , ~( 'c_in'( 'c_Main_Ofinite__Union__1'( X, Y ), 'c_Finite__Set_OFinites'
% 1.17/1.60 , 'tc_set'( Y ) ) ), 'c_in'( 'c_Union'( X, Y ), 'c_Finite__Set_OFinites'
% 1.17/1.60 , 'tc_set'( Y ) ) ],
% 1.17/1.60 [ 'c_Divides_Oop_Advd'( 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat'
% 1.17/1.60 ) ), X, 'tc_nat' ) ],
% 1.17/1.60 [ 'c_Divides_Oop_Advd'( 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat'
% 1.17/1.60 ) ), Y, 'tc_nat' ) ],
% 1.17/1.60 [ ~( 'c_Infinite__Set_Oatmost__one'( X, Y ) ), ~( 'c_in'( Z, X, Y ) ),
% 1.17/1.60 ~( 'c_in'( T, X, Y ) ), =( Z, T ) ],
% 1.17/1.60 [ 'c_lessequals'( 'c_uminus'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ),
% 1.17/1.60 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ],
% 1.17/1.60 [ 'c_less'( 'c_uminus'( 'c_IntDef_Oint'( 'c_Suc'( X ) ),
% 1.17/1.60 'tc_IntDef_Oint' ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ],
% 1.17/1.60 [ 'c_Divides_Oop_Advd'( X, 'c_0', 'tc_IntDef_Oint' ) ],
% 1.17/1.60 [ 'c_Divides_Oop_Advd'( 'c_1', X, 'tc_IntDef_Oint' ) ],
% 1.17/1.60 [ 'c_Divides_Oop_Advd'( X, 'c_times'( X, Y, 'tc_IntDef_Oint' ),
% 1.17/1.60 'tc_IntDef_Oint' ) ],
% 1.17/1.60 [ 'c_Divides_Oop_Advd'( X, 'c_times'( Y, X, 'tc_IntDef_Oint' ),
% 1.17/1.60 'tc_IntDef_Oint' ) ],
% 1.17/1.60 [ ~( =( 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' ), 'c_0' ) ), =( X
% 1.17/1.60 , 'c_times'( Y, 'c_Main_Ozmod__eq__0D__dest__1'( Y, X ), 'tc_IntDef_Oint'
% 1.17/1.60 ) ) ],
% 1.17/1.60 [ 'c_List_Odistinct'( 'c_List_Oremdups'( X, Y ), Y ) ],
% 1.17/1.60 [ 'c_in'( 'c_List_Oset'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y )
% 1.17/1.60 ) ],
% 1.17/1.60 [ ~( 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ), ~(
% 1.17/1.60 'c_in'( T, 'c_List_Oset'( X, Z ), Z ) ), 'c_in'( T, Y, Z ) ],
% 1.17/1.60 [ 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ), 'c_in'(
% 1.17/1.60 'c_Main_Oin__listsI__1'( Y, X, Z ), 'c_List_Oset'( X, Z ), Z ) ],
% 1.17/1.60 [ ~( 'c_in'( 'c_Main_Oin__listsI__1'( X, Y, Z ), X, Z ) ), 'c_in'( Y,
% 1.17/1.60 'c_List_Olists'( X, Z ), 'tc_List_Olist'( Z ) ) ],
% 1.17/1.60 [ 'c_lessequals'( 'c_Nat_Osize'( 'c_List_Oremdups'( X, Y ),
% 1.17/1.60 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ),
% 1.17/1.60 'tc_nat' ) ],
% 1.17/1.60 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T,
% 1.17/1.60 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ),
% 1.17/1.60 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), =( T,
% 1.17/1.60 'c_List_Olist_OCons'( 'c_Main_Olistrel__Cons1__1'( U, T, X, Y, Z ),
% 1.17/1.60 'c_Main_Olistrel__Cons1__2'( U, T, X, Y, Z ), Z ) ) ],
% 1.17/1.60 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T,
% 1.17/1.60 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ),
% 1.17/1.60 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'(
% 1.17/1.60 'c_Pair'( Y, 'c_Main_Olistrel__Cons1__2'( U, T, X, Y, Z ),
% 1.17/1.60 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ),
% 1.17/1.60 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ],
% 1.17/1.60 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T,
% 1.17/1.60 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ),
% 1.17/1.60 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'(
% 1.17/1.60 'c_Pair'( X, 'c_Main_Olistrel__Cons1__1'( U, T, X, Y, Z ), Z, Z ), U,
% 1.17/1.60 'tc_prod'( Z, Z ) ) ],
% 1.17/1.60 [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ),
% 1.17/1.60 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ),
% 1.17/1.60 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), =( X,
% 1.17/1.60 'c_List_Olist_OCons'( 'c_Main_Olistrel__Cons2__1'( U, X, Y, Z, T ),
% 1.17/1.60 'c_Main_Olistrel__Cons2__2'( U, X, Y, Z, T ), T ) ) ],
% 1.17/1.60 [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ),
% 1.17/1.60 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ),
% 1.17/1.60 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), 'c_in'(
% 1.17/1.60 'c_Pair'( 'c_Main_Olistrel__Cons2__2'( U, X, Y, Z, T ), Z,
% 1.17/1.60 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ),
% 1.17/1.60 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ],
% 1.17/1.60 [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ),
% 1.17/1.60 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ),
% 1.17/1.60 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), 'c_in'(
% 1.17/1.60 'c_Pair'( 'c_Main_Olistrel__Cons2__1'( U, X, Y, Z, T ), Y, T, T ), U,
% 1.17/1.60 'tc_prod'( T, T ) ) ],
% 1.17/1.60 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X, 'tc_List_Olist'( Y ),
% 1.17/1.60 'tc_List_Olist'( Y ) ), 'c_List_Olistrel'( Z, Y ), 'tc_prod'(
% 1.17/1.60 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X,
% 1.17/1.60 'c_List_Olist_ONil' ) ],
% 1.17/1.60 [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil', 'tc_List_Olist'( Y ),
% 1.17/1.60 'tc_List_Olist'( Y ) ), 'c_List_Olistrel'( Z, Y ), 'tc_prod'(
% 1.17/1.60 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X,
% 1.17/1.60 'c_List_Olist_ONil' ) ],
% 1.17/1.60 [ ~( 'c_in'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olists'( T, Z ),
% 1.17/1.60 'tc_List_Olist'( Z ) ) ), 'c_in'( Y, 'c_List_Olists'( T, Z ),
% 1.17/1.60 'tc_List_Olist'( Z ) ) ],
% 1.17/1.60 [ ~( 'c_in'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olists'( T, Z ),
% 1.17/1.60 'tc_List_Olist'( Z ) ) ), 'c_in'( X, T, Z ) ],
% 1.17/1.60 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( T, 'c_List_Olists'( Y, Z ),
% 1.17/1.60 'tc_List_Olist'( Z ) ) ), 'c_in'( 'c_List_Olist_OCons'( X, T, Z ),
% 1.17/1.60 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ],
% 1.17/1.60 [ 'c_in'( 'c_List_Olist_ONil', 'c_List_Olists'( X, Y ), 'tc_List_Olist'(
% 1.17/1.60 Y ) ) ],
% 1.17/1.60 [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ),
% 1.17/1.60 'c_Wellfounded__Recursion_Owf'( 'c_List_Olenlex'( X, Y ), 'tc_List_Olist'(
% 1.17/1.60 Y ) ) ],
% 1.17/1.60 [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ),
% 1.17/1.60 'c_Wellfounded__Recursion_Owf'( 'c_List_Olex'( X, Y ), 'tc_List_Olist'( Y
% 1.17/1.60 ) ) ],
% 1.17/1.60 [ 'c_lessequals'( 'c_0', X, 'tc_nat' ) ],
% 1.17/1.60 [ 'c_less'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 1.17/1.60 [ ~( 'c_less'( X, X, 'tc_nat' ) ) ],
% 1.17/1.60 [ 'c_less'( 'c_0', 'c_Suc'( X ), 'tc_nat' ) ],
% 1.17/1.60 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.17/1.60 [ ~( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ) ), 'c_in'( 'c_Pair'(
% 1.17/1.60 X, 'c_Main_ODomainE__1'( X, Y, Z, T ), Z, T ), Y, 'tc_prod'( Z, T ) ) ]
% 1.17/1.60 ,
% 1.17/1.60 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'( X
% 1.17/1.60 , 'c_Relation_ODomain'( U, Z, T ), Z ) ],
% 1.17/1.60 [ ~( 'c_in'( X, 'c_Relation_OId', 'tc_prod'( Y, Y ) ) ), =( X, 'c_Pair'(
% 1.17/1.60 'c_Main_OIdE__1'( X, Y ), 'c_Main_OIdE__1'( X, Y ), Y, Y ) ) ],
% 1.17/1.60 [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ), 'c_in'(
% 1.17/1.60 'c_Main_OImageE__1'( Z, X, Y, T, U ), Z, T ) ],
% 1.17/1.60 [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ), 'c_in'(
% 1.17/1.60 'c_Pair'( 'c_Main_OImageE__1'( Z, X, Y, T, U ), X, T, U ), Y, 'tc_prod'(
% 1.17/1.60 T, U ) ) ],
% 1.17/1.60 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( 'c_Pair'( X, T, Z, U ), W,
% 1.17/1.60 'tc_prod'( Z, U ) ) ), 'c_in'( T, 'c_Relation_OImage'( W, Y, Z, U ), U )
% 1.17/1.60 ],
% 1.17/1.60 [ ~( 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ) ), 'c_in'( 'c_Pair'(
% 1.17/1.60 'c_Main_ORangeE__1'( X, Y, T, Z ), X, Z, T ), Y, 'tc_prod'( Z, T ) ) ]
% 1.17/1.60 ,
% 1.17/1.60 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'( Y
% 1.17/1.60 , 'c_Relation_ORange'( U, Z, T ), T ) ],
% 1.17/1.60 [ ~( 'c_in'( X, 'c_Relation_Oconverse'( Y, Z, T ), 'tc_prod'( T, Z ) ) )
% 1.17/1.60 , 'c_in'( 'c_Pair'( 'c_Main_OconverseE__1'( Y, X, Z, T ),
% 1.17/1.60 'c_Main_OconverseE__2'( Y, X, Z, T ), Z, T ), Y, 'tc_prod'( Z, T ) ) ]
% 1.17/1.60 ,
% 1.17/1.60 [ ~( 'c_in'( X, 'c_Relation_Oconverse'( Y, Z, T ), 'tc_prod'( T, Z ) ) )
% 1.17/1.60 , =( X, 'c_Pair'( 'c_Main_OconverseE__2'( Y, X, Z, T ),
% 1.17/1.60 'c_Main_OconverseE__1'( Y, X, Z, T ), T, Z ) ) ],
% 1.17/1.60 [ ~( 'c_in'( X, 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ), =( X
% 1.17/1.60 , 'c_Pair'( 'c_Main_OdiagE__1'( Y, X, Z ), 'c_Main_OdiagE__1'( Y, X, Z )
% 1.17/1.60 , Z, Z ) ) ],
% 1.17/1.60 [ ~( 'c_in'( X, 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ),
% 1.17/1.60 'c_in'( 'c_Main_OdiagE__1'( Y, X, Z ), Y, Z ) ],
% 1.17/1.60 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Pair'( X, X, Z, Z ),
% 1.17/1.60 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ],
% 1.17/1.60 [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 'tc_prod'( W,
% 1.17/1.60 U ) ) ), 'c_in'( 'c_Pair'( 'c_Main_Orel__compE__2'( Y, Z, X, T, U, W ),
% 1.17/1.60 'c_Main_Orel__compE__3'( Y, Z, X, T, U, W ), T, U ), Y, 'tc_prod'( T, U )
% 1.17/1.60 ) ],
% 1.17/1.60 [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 'tc_prod'( W,
% 1.17/1.60 U ) ) ), 'c_in'( 'c_Pair'( 'c_Main_Orel__compE__1'( Y, Z, X, T, U, W ),
% 1.17/1.60 'c_Main_Orel__compE__2'( Y, Z, X, T, U, W ), W, T ), Z, 'tc_prod'( W, T )
% 1.17/1.60 ) ],
% 1.17/1.60 [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 'tc_prod'( W,
% 1.17/1.60 U ) ) ), =( X, 'c_Pair'( 'c_Main_Orel__compE__1'( Y, Z, X, T, U, W ),
% 1.17/1.60 'c_Main_Orel__compE__3'( Y, Z, X, T, U, W ), W, U ) ) ],
% 1.17/1.60 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), ~( 'c_in'(
% 1.17/1.60 'c_Pair'( W, X, V0, Z ), V1, 'tc_prod'( V0, Z ) ) ), 'c_in'( 'c_Pair'( W
% 1.17/1.60 , Y, V0, T ), 'c_Relation_Orel__comp'( U, V1, Z, T, V0 ), 'tc_prod'( V0,
% 1.17/1.60 T ) ) ],
% 1.17/1.60 [ 'c_in'( 'c_SetInterval_OatLeastAtMost'( X, Y, 'tc_nat' ),
% 1.17/1.60 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 1.17/1.60 [ 'c_in'( 'c_SetInterval_OatLeastAtMost'( X, Y, 'tc_IntDef_Oint' ),
% 1.17/1.60 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 1.17/1.60 [ 'c_in'( 'c_SetInterval_OatLeastLessThan'( X, Y, 'tc_nat' ),
% 1.17/1.60 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 1.17/1.60 [ 'c_in'( 'c_SetInterval_OatLeastLessThan'( X, Y, 'tc_IntDef_Oint' ),
% 1.17/1.60 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 1.17/1.60 [ 'c_in'( 'c_SetInterval_OatMost'( X, 'tc_nat' ),
% 1.17/1.60 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 1.17/1.60 [ 'c_in'( 'c_SetInterval_OgreaterThanAtMost'( X, Y, 'tc_nat' ),
% 1.17/1.60 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 1.17/1.60 [ 'c_in'( 'c_SetInterval_OgreaterThanAtMost'( X, Y, 'tc_IntDef_Oint' ),
% 1.17/1.60 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 1.17/1.60 [ 'c_in'( 'c_SetInterval_OgreaterThanLessThan'( X, Y, 'tc_nat' ),
% 1.17/1.60 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 1.17/1.60 [ 'c_in'( 'c_SetInterval_OgreaterThanLessThan'( X, Y, 'tc_IntDef_Oint' )
% 1.17/1.60 , 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 1.17/1.60 [ 'c_in'( 'c_SetInterval_OlessThan'( X, 'tc_nat' ),
% 1.17/1.60 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 1.17/1.60 [ 'c_in'( X, 'c_Inter'( Y, Z ), Z ), 'c_in'( 'c_Main_OInterI__1'( X, Y,
% 1.17/1.60 Z ), Y, 'tc_set'( Z ) ) ],
% 1.17/1.60 [ ~( 'c_in'( X, 'c_Main_OInterI__1'( X, Y, Z ), Z ) ), 'c_in'( X,
% 1.17/1.60 'c_Inter'( Y, Z ), Z ) ],
% 1.17/1.60 [ 'c_in'( X, 'c_UNIV', Y ) ],
% 1.17/1.60 [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( 'c_Main_OUnionE__1'( X
% 1.17/1.60 , Y, Z ), Y, 'tc_set'( Z ) ) ],
% 1.17/1.60 [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( X, 'c_Main_OUnionE__1'(
% 1.17/1.60 X, Y, Z ), Z ) ],
% 1.17/1.60 [ 'c_lessequals'( 'c_emptyset', X, 'tc_set'( Y ) ) ],
% 1.17/1.60 [ ~( 'c_less'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( Y, X,
% 1.17/1.60 'tc_set'( Z ) ) ) ],
% 1.17/1.60 [ ~( 'c_less'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( X, Y, 'tc_set'(
% 1.17/1.60 Z ) ) ],
% 1.17/1.60 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_less'( X, Y, 'tc_set'(
% 1.17/1.60 Z ) ), =( X, Y ) ],
% 1.17/1.60 [ ~( 'c_in'( X, 'c_insert'( Y, 'c_emptyset', Z ), Z ) ), =( X, Y ) ]
% 1.17/1.60 ,
% 1.17/1.60 [ 'c_in'( X, 'c_insert'( X, 'c_emptyset', Y ), Y ) ],
% 1.17/1.60 [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, 'c_emptyset', Y
% 1.17/1.60 ) ) ), =( X, Z ) ],
% 1.17/1.60 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ),
% 1.17/1.60 'c_in'( X, T, Z ) ],
% 1.17/1.60 [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ), 'c_lessequals'( X, Y
% 1.17/1.60 , 'tc_set'( Z ) ) ],
% 1.17/1.60 [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ), 'c_lessequals'(
% 1.17/1.60 X, Y, 'tc_set'( Z ) ) ],
% 1.17/1.60 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( Y, X,
% 1.17/1.60 'tc_set'( Z ) ) ), =( Y, X ) ],
% 1.17/1.60 [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ],
% 1.17/1.60 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Sum__Type_OInl'( X, Z, T ),
% 1.17/1.60 'c_Sum__Type_OPlus'( Y, U, Z, T ), 'tc_sum'( Z, T ) ) ],
% 1.17/1.60 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Sum__Type_OInr'( X, Z, T ),
% 1.17/1.60 'c_Sum__Type_OPlus'( U, Y, T, Z ), 'tc_sum'( T, Z ) ) ],
% 1.17/1.60 [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( T, U ) ) )
% 1.17/1.60 , =( X, 'c_Sum__Type_OInl'( 'c_Main_OPlusE__1'( Y, X, T, U ), T, U ) ),
% 1.17/1.60 =( X, 'c_Sum__Type_OInr'( 'c_Main_OPlusE__2'( Z, X, U, T ), U, T ) ) ]
% 1.17/1.60 ,
% 1.17/1.60 [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( T, U ) ) )
% 1.17/1.60 , 'c_in'( 'c_Main_OPlusE__2'( Z, X, U, T ), Z, U ), =( X,
% 1.17/1.60 'c_Sum__Type_OInl'( 'c_Main_OPlusE__1'( Y, X, T, U ), T, U ) ) ],
% 1.17/1.60 [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( T, U ) ) )
% 1.17/1.60 , 'c_in'( 'c_Main_OPlusE__1'( Y, X, T, U ), Y, T ), =( X,
% 1.17/1.60 'c_Sum__Type_OInr'( 'c_Main_OPlusE__2'( Z, X, U, T ), U, T ) ) ],
% 1.17/1.60 [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( T, U ) ) )
% 1.17/1.60 , 'c_in'( 'c_Main_OPlusE__1'( Y, X, T, U ), Y, T ), 'c_in'(
% 1.17/1.60 'c_Main_OPlusE__2'( Z, X, U, T ), Z, U ) ],
% 1.17/1.60 [ ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ), 'c_in'( X,
% 1.17/1.60 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) ) ],
% 1.17/1.60 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Transitive__Closure_Ortrancl'( Z, Y
% 1.17/1.60 ), 'tc_prod'( Y, Y ) ) ],
% 1.17/1.60 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), 'c_in'(
% 1.17/1.60 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ),
% 1.17/1.60 'tc_prod'( Z, Z ) ) ],
% 1.17/1.60 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T
% 1.17/1.60 , Z ), 'tc_prod'( Z, Z ) ) ), 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 1.17/1.60 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ],
% 1.17/1.60 [ 'c_Wellfounded__Recursion_Owf'( 'c_emptyset', X ) ],
% 1.17/1.60 [ 'c_Relation_Otrans'( 'c_Wellfounded__Relations_Oless__than', 'tc_nat'
% 1.17/1.60 ) ],
% 1.17/1.60 [ ~( 'c_Relation_Otrans'( X, Y ) ), ~( 'c_Relation_Otrans'( Z, T ) ),
% 1.17/1.60 'c_Relation_Otrans'( 'c_Wellfounded__Relations_Olex__prod'( Z, X, T, Y )
% 1.17/1.60 , 'tc_prod'( T, Y ) ) ],
% 1.17/1.60 [ 'c_Wellfounded__Recursion_Owf'( 'c_Wellfounded__Relations_Oless__than'
% 1.17/1.60 , 'tc_nat' ) ],
% 1.17/1.60 [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), ~(
% 1.17/1.60 'c_Wellfounded__Recursion_Owf'( Z, T ) ), 'c_Wellfounded__Recursion_Owf'(
% 1.17/1.60 'c_Wellfounded__Relations_Olex__prod'( Z, X, T, Y ), 'tc_prod'( T, Y ) )
% 1.17/1.60 ],
% 1.17/1.60 [ 'class_Finite__Set_Ofinite'( 'tc_Datatype_Ooption'( X ) ), ~(
% 1.17/1.60 'class_Finite__Set_Ofinite'( X ) ) ],
% 1.17/1.60 [ 'class_HOL_Ominus'( 'tc_IntDef_Oint' ) ],
% 1.17/1.60 [ 'class_HOL_Oone'( 'tc_IntDef_Oint' ) ],
% 1.17/1.60 [ 'class_Ring__and__Field_Osemiring'( 'tc_IntDef_Oint' ) ],
% 1.17/1.60 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_IntDef_Oint' ) ],
% 1.17/1.60 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_IntDef_Oint' ) ],
% 1.17/1.60 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_IntDef_Oint' ) ],
% 1.17/1.60 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_IntDef_Oint' ) ],
% 1.17/1.60 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_IntDef_Oint' ) ]
% 1.17/1.60 ,
% 1.17/1.60 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_IntDef_Oint' ) ]
% 1.17/1.60 ,
% 1.17/1.60 [ 'class_OrderedGroup_Oab__group__add'( 'tc_IntDef_Oint' ) ],
% 1.17/1.60 [ 'class_Ring__and__Field_Osemiring__0__cancel'( 'tc_IntDef_Oint' ) ]
% 1.17/1.60 ,
% 1.17/1.60 [ 'class_Ring__and__Field_Oring'( 'tc_IntDef_Oint' ) ],
% 1.17/1.60 [ 'class_HOL_Oplus'( 'tc_IntDef_Oint' ) ],
% 1.17/1.60 [ 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 'tc_IntDef_Oint'
% 1.17/1.60 ) ],
% 1.17/1.60 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_IntDef_Oint' ) ],
% 1.17/1.60 [ 'class_Ring__and__Field_Oaxclass__0__neq__1'( 'tc_IntDef_Oint' ) ]
% 1.17/1.60 ,
% 1.17/1.60 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_IntDef_Oint' ) ],
% 1.17/1.60 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_IntDef_Oint' ) ],
% 1.17/1.60 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_IntDef_Oint' ) ],
% 1.17/1.60 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_IntDef_Oint' ) ],
% 1.17/1.60 [ 'class_Ring__and__Field_Osemiring__1__cancel'( 'tc_IntDef_Oint' ) ]
% 1.17/1.60 ,
% 1.17/1.60 [ 'class_Ring__and__Field_Oring__1'( 'tc_IntDef_Oint' ) ],
% 1.17/1.60 [ 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 'tc_IntDef_Oint'
% 1.17/1.60 ) ],
% 1.17/1.60 [ 'class_HOL_Otimes'( 'tc_IntDef_Oint' ) ],
% 1.17/1.60 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_IntDef_Oint' ) ],
% 1.17/1.60 [ 'class_Orderings_Oorder'( 'tc_IntDef_Oint' ) ],
% 1.17/1.60 [ 'class_LOrder_Omeet__semilorder'( 'tc_IntDef_Oint' ) ],
% 1.17/1.60 [ 'class_LOrder_Ojoin__semilorder'( 'tc_IntDef_Oint' ) ],
% 1.17/1.60 [ 'class_LOrder_Olorder'( 'tc_IntDef_Oint' ) ],
% 1.17/1.60 [ 'class_Orderings_Olinorder'( 'tc_IntDef_Oint' ) ],
% 1.17/1.60 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_IntDef_Oint' )
% 1.17/1.60 ],
% 1.17/1.60 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 1.17/1.60 'tc_IntDef_Oint' ) ],
% 1.17/1.60 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.17/1.60 'tc_IntDef_Oint' ) ],
% 1.17/1.60 [ 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'(
% 1.17/1.60 'tc_IntDef_Oint' ) ],
% 1.17/1.60 [ 'class_HOL_Ozero'( 'tc_IntDef_Oint' ) ],
% 1.17/1.60 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_IntDef_Oint' ) ]
% 1.17/1.60 ,
% 1.17/1.60 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_IntDef_Oint'
% 1.17/1.60 ) ],
% 1.17/1.60 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_IntDef_Oint'
% 1.17/1.60 ) ],
% 1.17/1.60 [ 'class_Ring__and__Field_Opordered__comm__semiring'( 'tc_IntDef_Oint' )
% 1.17/1.60 ],
% 1.17/1.60 [ 'class_Ring__and__Field_Opordered__cancel__comm__semiring'(
% 1.17/1.60 'tc_IntDef_Oint' ) ],
% 1.17/1.60 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.17/1.60 'tc_IntDef_Oint' ) ],
% 1.17/1.60 [ 'class_Ring__and__Field_Oaxclass__abs__if'( 'tc_IntDef_Oint' ) ],
% 1.17/1.60 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_IntDef_Oint' ) ]
% 1.17/1.60 ,
% 1.17/1.60 [ 'class_OrderedGroup_Olordered__ab__group'( 'tc_IntDef_Oint' ) ],
% 1.17/1.60 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_IntDef_Oint' ) ],
% 1.17/1.60 [ 'class_Orderings_Oord'( 'tc_IntDef_Oint' ) ],
% 1.17/1.60 [ 'class_OrderedGroup_Olordered__ab__group__abs'( 'tc_IntDef_Oint' ) ]
% 1.17/1.60 ,
% 1.17/1.60 [ 'class_OrderedGroup_Olordered__ab__group__meet'( 'tc_IntDef_Oint' ) ]
% 1.17/1.60 ,
% 1.17/1.60 [ 'class_OrderedGroup_Olordered__ab__group__join'( 'tc_IntDef_Oint' ) ]
% 1.17/1.60 ,
% 1.17/1.60 [ 'class_Ring__and__Field_Olordered__ring'( 'tc_IntDef_Oint' ) ],
% 1.17/1.60 [ 'class_Ring__and__Field_Oaxclass__no__zero__divisors'(
% 1.17/1.60 'tc_IntDef_Oint' ) ],
% 1.17/1.60 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_IntDef_Oint' ) ]
% 1.17/1.60 ,
% 1.17/1.60 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_IntDef_Oint' ) ],
% 1.17/1.60 [ 'class_Ring__and__Field_Oidom'( 'tc_IntDef_Oint' ) ],
% 1.17/1.60 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_IntDef_Oint' ) ],
% 1.17/1.60 [ 'class_Numeral_Onumber'( 'tc_IntDef_Oint' ) ],
% 1.17/1.60 [ 'class_OrderedGroup_Osemigroup__add'( 'tc_IntDef_Oint' ) ],
% 1.17/1.60 [ 'class_Numeral_Onumber__ring'( 'tc_IntDef_Oint' ) ],
% 1.17/1.60 [ 'class_Divides_Odiv'( 'tc_IntDef_Oint' ) ],
% 1.17/1.60 [ 'class_Nat_Opower'( 'tc_IntDef_Oint' ) ],
% 1.17/1.60 [ 'class_Power_Orecpower'( 'tc_IntDef_Oint' ) ],
% 1.17/1.60 [ 'class_Parity_Oeven__odd'( 'tc_IntDef_Oint' ) ],
% 1.17/1.60 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_IntDef_Oint' ) ],
% 1.17/1.60 [ 'class_OrderedGroup_Osemigroup__mult'( 'tc_IntDef_Oint' ) ],
% 1.17/1.60 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_IntDef_Oint' ) ],
% 1.17/1.60 [ 'class_Finite__Set_Ofinite'( 'tc_Product__Type_Ounit' ) ],
% 1.17/1.60 [ 'class_Finite__Set_Ofinite'( 'tc_bool' ) ],
% 1.17/1.60 [ 'class_Finite__Set_Ofinite'( 'tc_fun'( X, Y ) ), ~(
% 1.17/1.60 'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 1.17/1.60 ],
% 1.17/1.60 [ 'class_Nat_Opower'( 'tc_fun'( X, Y ) ) ],
% 1.17/1.60 [ 'class_HOL_Oone'( 'tc_nat' ) ],
% 1.17/1.60 [ 'class_HOL_Ozero'( 'tc_nat' ) ],
% 1.17/1.60 [ 'class_HOL_Oplus'( 'tc_nat' ) ],
% 1.17/1.60 [ 'class_HOL_Otimes'( 'tc_nat' ) ],
% 1.17/1.60 [ 'class_Nat_Opower'( 'tc_nat' ) ],
% 1.17/1.60 [ 'class_Ring__and__Field_Oaxclass__0__neq__1'( 'tc_nat' ) ],
% 1.17/1.60 [ 'class_OrderedGroup_Osemigroup__add'( 'tc_nat' ) ],
% 1.17/1.60 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.17/1.60 [ 'class_OrderedGroup_Osemigroup__mult'( 'tc_nat' ) ],
% 1.17/1.60 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.17/1.60 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 1.17/1.60 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 1.17/1.60 [ 'class_Orderings_Oord'( 'tc_nat' ) ],
% 1.17/1.60 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.17/1.60 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 1.17/1.60 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' ) ],
% 1.17/1.60 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 1.17/1.60 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 1.17/1.60 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 1.17/1.60 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.17/1.60 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.17/1.60 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.17/1.60 [ 'class_Ring__and__Field_Osemiring__0__cancel'( 'tc_nat' ) ],
% 1.17/1.60 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.17/1.60 [ 'class_Ring__and__Field_Osemiring__1__cancel'( 'tc_nat' ) ],
% 1.17/1.60 [ 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 'tc_nat' ) ],
% 1.17/1.60 [ 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 'tc_nat' ) ],
% 1.17/1.60 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.17/1.60 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.17/1.60 ],
% 1.17/1.60 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.17/1.60 ) ],
% 1.17/1.60 [ 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.17/1.60 ],
% 1.17/1.60 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 1.17/1.60 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 1.17/1.61 ,
% 1.17/1.61 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 1.17/1.61 [ 'class_LOrder_Omeet__semilorder'( 'tc_nat' ) ],
% 1.17/1.61 [ 'class_Ring__and__Field_Opordered__comm__semiring'( 'tc_nat' ) ],
% 1.17/1.61 [ 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( 'tc_nat' )
% 1.17/1.61 ],
% 1.17/1.61 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 1.17/1.61 ],
% 1.17/1.61 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.17/1.61 [ 'class_Divides_Odiv'( 'tc_nat' ) ],
% 1.17/1.61 [ 'class_Power_Orecpower'( 'tc_nat' ) ],
% 1.17/1.61 [ 'class_Numeral_Onumber'( 'tc_nat' ) ],
% 1.17/1.61 [ 'class_Parity_Oeven__odd'( 'tc_nat' ) ],
% 1.17/1.61 [ 'class_LOrder_Ojoin__semilorder'( 'tc_nat' ) ],
% 1.17/1.61 [ 'class_LOrder_Olorder'( 'tc_nat' ) ],
% 1.17/1.61 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.17/1.61 [ 'class_Wellfounded__Recursion_Owellorder'( 'tc_nat' ) ],
% 1.17/1.61 [ 'class_HOL_Ominus'( 'tc_nat' ) ],
% 1.17/1.61 [ 'class_Finite__Set_Ofinite'( 'tc_prod'( X, Y ) ), ~(
% 1.17/1.61 'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 1.17/1.61 ],
% 1.17/1.61 [ 'class_HOL_Ominus'( 'tc_set'( X ) ) ],
% 1.17/1.61 [ 'class_Orderings_Oord'( 'tc_set'( X ) ) ],
% 1.17/1.61 [ 'class_Orderings_Oorder'( 'tc_set'( X ) ) ],
% 1.17/1.61 [ 'class_Finite__Set_Ofinite'( 'tc_set'( X ) ), ~(
% 1.17/1.61 'class_Finite__Set_Ofinite'( X ) ) ],
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% 1.17/1.61 [ 'class_Finite__Set_Ofinite'( 'tc_sum'( X, Y ) ), ~(
% 1.17/1.61 'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 1.17/1.61 ],
% 1.17/1.61 [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ), 'class_Orderings_Oord'( X
% 1.17/1.61 ) ],
% 1.17/1.61 [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ), 'class_Orderings_Oorder'(
% 1.17/1.61 X ) ],
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% 1.17/1.61 ) ],
% 1.17/1.61 [ ~( 'class_LOrder_Olorder'( X ) ), 'class_Orderings_Oord'( X ) ],
% 1.17/1.61 [ ~( 'class_LOrder_Olorder'( X ) ), 'class_Orderings_Oorder'( X ) ],
% 1.17/1.61 [ ~( 'class_LOrder_Olorder'( X ) ), 'class_LOrder_Ojoin__semilorder'( X
% 1.17/1.61 ) ],
% 1.17/1.61 [ ~( 'class_LOrder_Omeet__semilorder'( X ) ), 'class_Orderings_Oord'( X
% 1.17/1.61 ) ],
% 1.17/1.61 [ ~( 'class_LOrder_Omeet__semilorder'( X ) ), 'class_Orderings_Oorder'(
% 1.17/1.61 X ) ],
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% 1.17/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.17/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.17/1.61 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.17/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.17/1.61 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.17/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_HOL_Ominus'( X ) ]
% 1.17/1.61 ,
% 1.17/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.17/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.17/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.17/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.17/1.61 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.17/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.17/1.61 'class_Ring__and__Field_Oring'( X ) ],
% 1.17/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.17/1.61 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 1.17/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.17/1.61 'class_Ring__and__Field_Ocomm__ring'( X ) ],
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% 1.17/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
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% 1.17/1.61 'class_OrderedGroup_Omonoid__mult'( X ) ],
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% 1.17/1.61 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 1.17/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.17/1.61 'class_Ring__and__Field_Osemiring__1'( X ) ],
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% 1.17/1.61 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
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% 1.17/1.61 'class_Ring__and__Field_Oring__1'( X ) ],
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% 1.17/1.61 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
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% 1.17/1.61 'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 1.17/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_HOL_Otimes'( X ) ]
% 1.17/1.61 ,
% 1.17/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_Numeral_Onumber'( X )
% 1.17/1.61 ],
% 1.17/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.17/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.17/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.17/1.61 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.17/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.17/1.61 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.17/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_HOL_Ozero'( X ) ],
% 1.17/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 'class_HOL_Ominus'( X
% 1.17/1.61 ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 'class_HOL_Ozero'( X )
% 1.17/1.61 ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
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% 1.17/1.61 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 'class_HOL_Oplus'( X )
% 1.17/1.61 ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
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% 1.17/1.61 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), 'class_HOL_Oplus'(
% 1.17/1.61 X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ),
% 1.17/1.61 'class_HOL_Otimes'( X ) ],
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% 1.17/1.61 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ),
% 1.17/1.61 'class_HOL_Oplus'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ),
% 1.17/1.61 'class_HOL_Oplus'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'class_HOL_Ozero'(
% 1.17/1.61 X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'class_HOL_Oplus'(
% 1.17/1.61 X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 'class_HOL_Oone'(
% 1.17/1.61 X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 'class_HOL_Otimes'(
% 1.17/1.61 X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 'class_HOL_Oplus'(
% 1.17/1.61 X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.17/1.61 'class_LOrder_Olorder'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.17/1.61 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.17/1.61 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.17/1.61 'class_HOL_Ominus'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 'class_HOL_Ozero'(
% 1.17/1.61 X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.17/1.61 'class_Orderings_Oorder'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.17/1.61 'class_Orderings_Oord'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.17/1.61 'class_HOL_Oplus'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.17/1.61 'class_LOrder_Olorder'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.17/1.61 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.17/1.61 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.17/1.61 'class_Orderings_Oorder'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.17/1.61 'class_Orderings_Oord'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.17/1.61 'class_HOL_Ominus'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.17/1.61 'class_HOL_Ozero'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.17/1.61 'class_HOL_Oplus'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.17/1.61 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.17/1.61 'class_LOrder_Olorder'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.17/1.61 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.17/1.61 'class_HOL_Ominus'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.17/1.61 'class_HOL_Ozero'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.17/1.61 'class_Orderings_Oorder'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.17/1.61 'class_Orderings_Oord'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.17/1.61 'class_HOL_Oplus'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.17/1.61 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.17/1.61 'class_LOrder_Olorder'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.17/1.61 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.17/1.61 'class_HOL_Ominus'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.17/1.61 'class_HOL_Ozero'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.17/1.61 'class_Orderings_Oorder'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.17/1.61 'class_Orderings_Oord'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), 'class_HOL_Oone'( X ) ]
% 1.17/1.61 ,
% 1.17/1.61 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), 'class_HOL_Otimes'( X )
% 1.17/1.61 ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.17/1.61 'class_LOrder_Olorder'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.17/1.61 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.17/1.61 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.17/1.61 'class_Orderings_Oorder'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.17/1.61 'class_Orderings_Oord'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.17/1.61 'class_HOL_Oplus'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.17/1.61 'class_Orderings_Olinorder'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.17/1.61 'class_HOL_Ominus'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.17/1.61 'class_Orderings_Oorder'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.17/1.61 'class_Orderings_Oord'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.17/1.61 'class_HOL_Ozero'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.17/1.61 'class_HOL_Oplus'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.17/1.61 'class_Orderings_Oorder'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.17/1.61 'class_Orderings_Oord'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.17/1.61 'class_HOL_Oplus'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.17/1.61 , 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.17/1.61 , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.17/1.61 , 'class_Orderings_Oorder'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.17/1.61 , 'class_Orderings_Oord'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.17/1.61 , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.17/1.61 , 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.17/1.61 , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.17/1.61 , 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.17/1.61 , 'class_HOL_Oplus'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.17/1.61 'class_Orderings_Oorder'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.17/1.61 'class_Orderings_Oord'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.17/1.61 'class_HOL_Oplus'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.17/1.61 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), 'class_HOL_Oplus'( X )
% 1.17/1.61 ],
% 1.17/1.61 [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), 'class_HOL_Otimes'( X
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% 1.23/1.61 'class_HOL_Otimes'( X ) ],
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% 1.23/1.61 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
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% 1.23/1.61 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
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% 1.23/1.61 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
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% 1.23/1.61 'class_Ring__and__Field_Osemiring'( X ) ],
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% 1.23/1.61 'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Ocomm__ring'( X ) ],
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% 1.23/1.61 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
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% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
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% 1.23/1.61 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
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% 1.23/1.61 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
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% 1.23/1.61 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
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% 1.23/1.61 'class_Ring__and__Field_Oring__1'( X ) ],
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% 1.23/1.61 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
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% 1.23/1.61 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Otimes'( X ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
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% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Oplus'( X ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Oring'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Oinverse'( X ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Oidom'( X ) ],
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% 1.23/1.61 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
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% 1.23/1.61 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Ominus'( X ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
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% 1.23/1.61 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
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% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
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% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
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% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
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% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Oone'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
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% 1.23/1.61 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
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% 1.23/1.61 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
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% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
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% 1.23/1.61 'class_Ring__and__Field_Osemiring'( X ) ],
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% 1.23/1.61 ,
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% 1.23/1.61 ,
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% 1.23/1.61 ,
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% 1.23/1.61 'class_Ring__and__Field_Oring'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.23/1.61 'class_Orderings_Oorder'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.23/1.61 'class_Orderings_Oord'( X ) ],
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% 1.23/1.61 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Osemiring'( X ) ],
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% 1.23/1.61 'class_OrderedGroup_Osemigroup__mult'( X ) ],
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% 1.23/1.61 X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
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% 1.23/1.61 X ) ],
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% 1.23/1.61 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
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% 1.23/1.61 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Osemigroup__add'( X ) ],
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% 1.23/1.61 X ) ],
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% 1.23/1.61 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.23/1.61 'class_LOrder_Olorder'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.23/1.61 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.23/1.61 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ],
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% 1.23/1.61 'class_OrderedGroup_Oab__group__add'( X ) ],
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% 1.23/1.61 'class_OrderedGroup_Olordered__ab__group__join'( X ) ],
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% 1.23/1.61 X ) ],
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% 1.23/1.61 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
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% 1.23/1.61 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
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% 1.23/1.61 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
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% 1.23/1.61 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.23/1.61 'class_HOL_Oplus'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.23/1.61 'class_HOL_Ozero'( X ) ],
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% 1.23/1.61 'class_Orderings_Olinorder'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.23/1.61 'class_LOrder_Olorder'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.23/1.61 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.23/1.61 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
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% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.23/1.61 'class_Orderings_Oorder'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.23/1.61 'class_Orderings_Oord'( X ) ],
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% 1.23/1.61 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
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% 1.23/1.61 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
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% 1.23/1.61 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
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% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.23/1.61 'class_HOL_Otimes'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Ofield'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.61 'class_HOL_Oinverse'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Oone'(
% 1.23/1.61 X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Oidom'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Oplus'(
% 1.23/1.61 X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Ozero'(
% 1.23/1.61 X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Otimes'(
% 1.23/1.61 X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Oordered__ring__strict'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.61 'class_Orderings_Olinorder'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Olordered__ring'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Opordered__ring'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Olordered__ab__group__join'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Oring__1'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.61 'class_LOrder_Olorder'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.61 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.61 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.61 'class_Orderings_Oorder'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.61 'class_Orderings_Oord'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Oring'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Oordered__semidom'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Ominus'(
% 1.23/1.61 X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Oone'( X
% 1.23/1.61 ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Oring__1'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Otimes'(
% 1.23/1.61 X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Ozero'(
% 1.23/1.61 X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Oplus'(
% 1.23/1.61 X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Oring'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'class_Orderings_Olinorder'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'class_LOrder_Olorder'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'class_Orderings_Oorder'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'class_Orderings_Oord'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Oordered__ring__strict'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Olordered__ring'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Opordered__ring'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Ominus'(
% 1.23/1.61 X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Olordered__ab__group__join'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Oordered__semidom'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Oidom'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Oring'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.23/1.61 'class_HOL_Oplus'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.23/1.61 'class_HOL_Ozero'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.23/1.61 'class_Orderings_Olinorder'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.23/1.61 'class_LOrder_Olorder'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.23/1.61 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.23/1.61 'class_HOL_Ominus'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.23/1.61 'class_LOrder_Omeet__semilorder'( X ) ],
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% 1.23/1.61 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.23/1.61 'class_HOL_Oplus'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Oab__group__add'( X ) ],
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% 1.23/1.61 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Opordered__semiring'( X ) ],
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% 1.23/1.61 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.23/1.61 'class_Orderings_Oorder'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.23/1.61 'class_Orderings_Oord'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.23/1.61 'class_HOL_Ominus'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
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% 1.23/1.61 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.23/1.61 'class_HOL_Oplus'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.23/1.61 'class_HOL_Ozero'( X ) ],
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% 1.23/1.61 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.23/1.61 'class_Orderings_Oorder'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.23/1.61 'class_Orderings_Oord'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.23/1.61 'class_HOL_Otimes'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Oring'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Oab__group__add'( X ) ],
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% 1.23/1.61 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
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% 1.23/1.61 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
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% 1.23/1.61 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'class_HOL_Oplus'(
% 1.23/1.61 X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'class_HOL_Ozero'(
% 1.23/1.61 X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
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% 1.23/1.61 'class_Orderings_Oorder'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.23/1.61 'class_Orderings_Oord'( X ) ],
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% 1.23/1.61 X ) ],
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% 1.23/1.61 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
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% 1.23/1.61 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
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% 1.23/1.61 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'class_HOL_Otimes'(
% 1.23/1.61 X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.23/1.61 'class_Orderings_Oorder'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.23/1.61 'class_Orderings_Oord'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.23/1.61 'class_HOL_Otimes'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
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% 1.23/1.61 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
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% 1.23/1.61 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.23/1.61 'class_HOL_Oplus'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.23/1.61 'class_HOL_Ozero'( X ) ],
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% 1.23/1.61 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
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% 1.23/1.61 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
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% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oring'( X ) ), 'class_HOL_Oplus'( X ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
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% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oring'( X ) ), 'class_HOL_Otimes'( X ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oring'( X ) ), 'class_HOL_Ominus'( X ) ]
% 1.23/1.61 ,
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% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oring'( X ) ), 'class_HOL_Ozero'( X ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
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% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Ozero'( X ) ]
% 1.23/1.61 ,
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% 1.23/1.61 ,
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% 1.23/1.61 ,
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% 1.23/1.61 'class_Ring__and__Field_Osemiring'( X ) ],
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% 1.23/1.61 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Otimes'( X ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ),
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% 1.23/1.61 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 'class_HOL_Oplus'( X ) ]
% 1.23/1.61 ,
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% 1.23/1.61 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 'class_HOL_Otimes'( X )
% 1.23/1.61 ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Osemiring'( X ) ],
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% 1.23/1.61 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
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% 1.23/1.61 'class_OrderedGroup_Osemigroup__add'( X ) ],
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% 1.23/1.61 ) ],
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% 1.23/1.61 'class_OrderedGroup_Osemigroup__mult'( X ) ],
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% 1.23/1.61 ) ],
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% 1.23/1.61 ) ],
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% 1.23/1.61 'class_Ring__and__Field_Osemiring'( X ) ],
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% 1.23/1.61 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
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% 1.23/1.61 'class_HOL_Otimes'( X ) ],
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% 1.23/1.61 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
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% 1.23/1.61 'class_OrderedGroup_Osemigroup__add'( X ) ],
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% 1.23/1.61 'class_HOL_Oplus'( X ) ],
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% 1.23/1.61 'class_HOL_Ozero'( X ) ],
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% 1.23/1.61 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
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% 1.23/1.61 ) ],
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% 1.23/1.61 ) ],
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% 1.23/1.61 ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
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% 1.23/1.61 'class_Ring__and__Field_Osemiring'( X ) ],
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% 1.23/1.61 ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
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% 1.23/1.61 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
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% 1.23/1.61 'class_OrderedGroup_Osemigroup__add'( X ) ],
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% 1.23/1.61 'class_Ring__and__Field_Osemiring__1'( X ) ],
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% 1.23/1.61 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.23/1.61 'class_HOL_Oone'( X ) ],
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% 1.23/1.61 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.23/1.61 'class_HOL_Otimes'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.23/1.61 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.23/1.61 'class_HOL_Ozero'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.23/1.61 'class_HOL_Oplus'( X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.23/1.61 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.23/1.61 [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 1.23/1.61 'class_Orderings_Oord'( X ) ],
% 1.23/1.61 [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 1.23/1.61 'class_Orderings_Oorder'( X ) ],
% 1.23/1.61 [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 1.23/1.61 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.23/1.61 [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 1.23/1.61 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.23/1.61 [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 1.23/1.61 'class_LOrder_Olorder'( X ) ],
% 1.23/1.61 [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 1.23/1.61 'class_Orderings_Olinorder'( X ) ],
% 1.23/1.61 [ =( 'c_Binomial_Obinomial'( 'c_0', 'c_Suc'( X ) ), 'c_0' ) ],
% 1.23/1.61 [ =( 'c_Binomial_Obinomial'( X, 'c_Suc'( 'c_0' ) ), X ) ],
% 1.23/1.61 [ =( 'c_Binomial_Obinomial'( 'c_Suc'( X ), 'c_Suc'( Y ) ), 'c_plus'(
% 1.23/1.61 'c_Binomial_Obinomial'( X, Y ), 'c_Binomial_Obinomial'( X, 'c_Suc'( Y ) )
% 1.23/1.61 , 'tc_nat' ) ) ],
% 1.23/1.61 [ =( 'c_Binomial_Obinomial'( 'c_Suc'( X ), X ), 'c_Suc'( X ) ) ],
% 1.23/1.61 [ =( 'c_Binomial_Obinomial'( X, 'c_0' ), 'c_1' ) ],
% 1.23/1.61 [ =( 'c_Binomial_Obinomial'( X, X ), 'c_1' ) ],
% 1.23/1.61 [ ~( 'c_in'( X, 'c_Datatype_Oo2s'( Y, Z ), Z ) ), =( Y,
% 1.23/1.61 'c_Datatype_Ooption_OSome'( X, Z ) ) ],
% 1.23/1.61 [ 'c_in'( X, 'c_Datatype_Oo2s'( 'c_Datatype_Ooption_OSome'( X, Y ), Y )
% 1.23/1.61 , Y ) ],
% 1.23/1.61 [ =( X, 'c_Datatype_Ooption_ONone' ), =( X, 'c_Datatype_Ooption_OSome'(
% 1.23/1.61 'c_Main_Onot__None__eq__1'( X, Y ), Y ) ) ],
% 1.23/1.61 [ =( X, 'c_Datatype_Ooption_ONone' ), =( X, 'c_Datatype_Ooption_OSome'(
% 1.23/1.61 'c_Main_Onot__Some__eq__1'( X, Y ), Y ) ) ],
% 1.23/1.61 [ =( 'c_Datatype_Oo2s'( 'c_Datatype_Ooption_OSome'( X, Y ), Y ),
% 1.23/1.61 'c_insert'( X, 'c_emptyset', Y ) ) ],
% 1.23/1.61 [ ~( =( 'c_Datatype_Oo2s'( X, Y ), 'c_emptyset' ) ), =( X,
% 1.23/1.61 'c_Datatype_Ooption_ONone' ) ],
% 1.23/1.61 [ =( 'c_Datatype_Oo2s'( 'c_Datatype_Ooption_ONone', X ), 'c_emptyset' )
% 1.23/1.61 ],
% 1.23/1.61 [ ~( =( 'c_Datatype_Ooption_ONone', 'c_Datatype_Ooption_OSome'( X, Y ) )
% 1.23/1.61 ) ],
% 1.23/1.61 [ ~( =( 'c_Datatype_Ooption_OSome'( X, Y ), 'c_Datatype_Ooption_ONone' )
% 1.23/1.61 ) ],
% 1.23/1.61 [ ~( =( 'c_Datatype_Ooption_OSome'( X, Y ), 'c_Datatype_Ooption_OSome'(
% 1.23/1.61 Z, Y ) ) ), =( X, Z ) ],
% 1.23/1.61 [ =( 'c_Nat_Osize'( 'c_Datatype_Ooption_ONone', 'tc_Datatype_Ooption'( X
% 1.23/1.61 ) ), 'c_0' ) ],
% 1.23/1.61 [ =( 'c_Nat_Osize'( 'c_Datatype_Ooption_OSome'( X, Y ),
% 1.23/1.61 'tc_Datatype_Ooption'( Y ) ), 'c_0' ) ],
% 1.23/1.61 [ =( 'c_Nat_Osize'( 'c_Pair'( X, Y, Z, T ), 'tc_prod'( Z, T ) ), 'c_0' )
% 1.23/1.61 ],
% 1.23/1.61 [ =( 'c_Nat_Osize'( 'c_Sum__Type_OInl'( X, Y, Z ), 'tc_sum'( Y, Z ) ),
% 1.23/1.61 'c_0' ) ],
% 1.23/1.61 [ =( 'c_Nat_Osize'( 'c_Sum__Type_OInr'( X, Y, Z ), 'tc_sum'( Z, Y ) ),
% 1.23/1.61 'c_0' ) ],
% 1.23/1.61 [ =( 'c_Datatype_Othe'( 'c_Datatype_Ooption_OSome'( X, Y ), Y ), X ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ =( 'c_Datatype_Ounit_Ounit__case'( X, 'c_Product__Type_OUnity', Y ), X
% 1.23/1.61 ) ],
% 1.23/1.61 [ =( 'c_Datatype_Ounit_Ounit__rec'( X, 'c_Product__Type_OUnity', Y ), X
% 1.23/1.61 ) ],
% 1.23/1.61 [ =( 'c_Nat_Osize'( 'c_Product__Type_OUnity', 'tc_Product__Type_Ounit' )
% 1.23/1.61 , 'c_0' ) ],
% 1.23/1.61 [ ~( =( 'c_Datatype__Universe_OAtom'( X, Y, Z ),
% 1.23/1.61 'c_Datatype__Universe_OAtom'( T, Y, Z ) ) ), =( X, T ) ],
% 1.23/1.61 [ ~( =( 'c_Datatype__Universe_OAtom'( X, Y, Z ),
% 1.23/1.61 'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ],
% 1.23/1.61 [ =( 'c_Relation_ODomain'( 'c_Datatype__Universe_Odprod'( X, Y, Z, T ),
% 1.23/1.61 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.23/1.61 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Ouprod'(
% 1.23/1.61 'c_Relation_ODomain'( X, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.23/1.61 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ),
% 1.23/1.61 'c_Relation_ODomain'( Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.23/1.61 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), Z, T ) ) ],
% 1.23/1.61 [ =( 'c_Relation_ODomain'( 'c_Datatype__Universe_Odsum'( X, Y, Z, T ),
% 1.23/1.61 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.23/1.61 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Ousum'(
% 1.23/1.61 'c_Relation_ODomain'( X, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.23/1.61 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ),
% 1.23/1.61 'c_Relation_ODomain'( Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.23/1.61 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), Z, T ) ) ],
% 1.23/1.61 [ ~( =( 'c_Datatype__Universe_OIn0'( X, Y, Z ),
% 1.23/1.61 'c_Datatype__Universe_OIn0'( T, Y, Z ) ) ), =( X, T ) ],
% 1.23/1.61 [ ~( =( 'c_Datatype__Universe_OIn0'( X, Y, Z ),
% 1.23/1.61 'c_Datatype__Universe_OIn1'( T, Y, Z ) ) ) ],
% 1.23/1.61 [ ~( =( 'c_Datatype__Universe_OIn1'( X, Y, Z ),
% 1.23/1.61 'c_Datatype__Universe_OIn1'( T, Y, Z ) ) ), =( X, T ) ],
% 1.23/1.61 [ ~( =( 'c_Datatype__Universe_OIn1'( X, Y, Z ),
% 1.23/1.61 'c_Datatype__Universe_OIn0'( T, Y, Z ) ) ) ],
% 1.23/1.61 [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ),
% 1.23/1.61 'c_Datatype__Universe_ONumb'( T, Y, Z ) ) ) ],
% 1.23/1.61 [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ),
% 1.23/1.61 'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ],
% 1.23/1.61 [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ),
% 1.23/1.61 'c_Datatype__Universe_OLeaf'( T, Y, Z ) ) ) ],
% 1.23/1.61 [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ),
% 1.23/1.61 'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ],
% 1.23/1.61 [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 1.23/1.61 'c_Datatype__Universe_OScons'( U, W, Z, T ) ) ), =( X, U ) ],
% 1.23/1.61 [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 1.23/1.61 'c_Datatype__Universe_OScons'( U, W, Z, T ) ) ), =( Y, W ) ],
% 1.23/1.61 [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 1.23/1.61 'c_Datatype__Universe_OAtom'( U, Z, T ) ) ) ],
% 1.23/1.61 [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 1.23/1.61 'c_Datatype__Universe_OLeaf'( U, Z, T ) ) ) ],
% 1.23/1.61 [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 1.23/1.61 'c_Datatype__Universe_ONumb'( U, Z, T ) ) ) ],
% 1.23/1.61 [ =( 'c_Datatype__Universe_Ontrunc'( 'c_0', X, Y, Z ), 'c_emptyset' ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X ),
% 1.23/1.61 'c_Datatype__Universe_OAtom'( Y, Z, T ), Z, T ),
% 1.23/1.61 'c_Datatype__Universe_OAtom'( Y, Z, T ) ) ],
% 1.23/1.61 [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( 'c_Suc'( X ) ),
% 1.23/1.61 'c_Datatype__Universe_OIn0'( Y, Z, T ), Z, T ),
% 1.23/1.61 'c_Datatype__Universe_OIn0'( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X )
% 1.23/1.61 , Y, Z, T ), Z, T ) ) ],
% 1.23/1.61 [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( 'c_Suc'( X ) ),
% 1.23/1.61 'c_Datatype__Universe_OIn1'( Y, Z, T ), Z, T ),
% 1.23/1.61 'c_Datatype__Universe_OIn1'( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X )
% 1.23/1.61 , Y, Z, T ), Z, T ) ) ],
% 1.23/1.61 [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X ),
% 1.23/1.61 'c_Datatype__Universe_OLeaf'( Y, Z, T ), Z, T ),
% 1.23/1.61 'c_Datatype__Universe_OLeaf'( Y, Z, T ) ) ],
% 1.23/1.61 [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X ),
% 1.23/1.61 'c_Datatype__Universe_ONumb'( Y, Z, T ), Z, T ),
% 1.23/1.61 'c_Datatype__Universe_ONumb'( Y, Z, T ) ) ],
% 1.23/1.61 [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X ),
% 1.23/1.61 'c_Datatype__Universe_OScons'( Y, Z, T, U ), T, U ),
% 1.23/1.61 'c_Datatype__Universe_OScons'( 'c_Datatype__Universe_Ontrunc'( X, Y, T, U
% 1.23/1.61 ), 'c_Datatype__Universe_Ontrunc'( X, Z, T, U ), T, U ) ) ],
% 1.23/1.61 [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( 'c_0' ),
% 1.23/1.61 'c_Datatype__Universe_OIn0'( X, Y, Z ), Y, Z ), 'c_emptyset' ) ],
% 1.23/1.61 [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( 'c_0' ),
% 1.23/1.61 'c_Datatype__Universe_OIn1'( X, Y, Z ), Y, Z ), 'c_emptyset' ) ],
% 1.23/1.61 [ =( 'c_div'( X, 'c_0', 'tc_nat' ), 'c_0' ) ],
% 1.23/1.61 [ =( 'c_Divides_Oop_Amod'( X, 'c_0', 'tc_nat' ), X ) ],
% 1.23/1.61 [ =( 'c_div'( 'c_0', X, 'tc_nat' ), 'c_0' ) ],
% 1.23/1.61 [ =( 'c_div'( X, 'c_Suc'( 'c_0' ), 'tc_nat' ), X ) ],
% 1.23/1.61 [ 'c_lessequals'( 'c_div'( X, Y, 'tc_nat' ), X, 'tc_nat' ) ],
% 1.23/1.61 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_div'( X, Y, 'tc_nat' ), 'c_0' )
% 1.23/1.61 ],
% 1.23/1.61 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), ~( 'c_less'( 'c_1', Y, 'tc_nat' )
% 1.23/1.61 ), 'c_less'( 'c_div'( X, Y, 'tc_nat' ), X, 'tc_nat' ) ],
% 1.23/1.61 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 'c_times'( X, Y,
% 1.23/1.61 'tc_nat' ), 'c_times'( X, Z, 'tc_nat' ), 'tc_nat' ), 'c_div'( Y, Z,
% 1.23/1.61 'tc_nat' ) ) ],
% 1.23/1.61 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 'c_times'( Y, X,
% 1.23/1.61 'tc_nat' ), 'c_times'( Z, X, 'tc_nat' ), 'tc_nat' ), 'c_div'( Y, Z,
% 1.23/1.61 'tc_nat' ) ) ],
% 1.23/1.61 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 'c_plus'( Y,
% 1.23/1.61 'c_times'( Z, X, 'tc_nat' ), 'tc_nat' ), X, 'tc_nat' ), 'c_plus'( Z,
% 1.23/1.61 'c_div'( Y, X, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.23/1.61 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 'c_times'( X, Y,
% 1.23/1.61 'tc_nat' ), X, 'tc_nat' ), Y ) ],
% 1.23/1.61 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 'c_plus'( Y,
% 1.23/1.61 'c_times'( X, Z, 'tc_nat' ), 'tc_nat' ), X, 'tc_nat' ), 'c_plus'( Z,
% 1.23/1.61 'c_div'( Y, X, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.23/1.61 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 'c_times'( Y, X,
% 1.23/1.61 'tc_nat' ), X, 'tc_nat' ), Y ) ],
% 1.23/1.61 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( X, X, 'tc_nat' ),
% 1.23/1.61 'c_1' ) ],
% 1.23/1.61 [ ~( 'c_Divides_Oop_Advd'( 'c_0', X, 'tc_nat' ) ), =( X, 'c_0' ) ],
% 1.23/1.61 [ 'c_Divides_Oop_Advd'( 'c_0', 'c_0', 'tc_nat' ) ],
% 1.23/1.61 [ ~( 'c_Divides_Oop_Advd'( X, 'c_Suc'( 'c_0' ), 'tc_nat' ) ), =( X,
% 1.23/1.61 'c_Suc'( 'c_0' ) ) ],
% 1.23/1.61 [ 'c_Divides_Oop_Advd'( 'c_Suc'( 'c_0' ), 'c_Suc'( 'c_0' ), 'tc_nat' ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ 'c_Divides_Oop_Advd'( X, X, 'tc_nat' ) ],
% 1.23/1.61 [ =( 'c_Divides_Oop_Amod'( 'c_0', X, 'tc_nat' ), 'c_0' ) ],
% 1.23/1.61 [ =( 'c_Divides_Oop_Amod'( X, 'c_Suc'( 'c_0' ), 'tc_nat' ), 'c_0' ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, Y, 'tc_nat' ), X, 'tc_nat' ),
% 1.23/1.61 'c_Divides_Oop_Amod'( Y, X, 'tc_nat' ) ) ],
% 1.23/1.61 [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, Y, 'tc_nat' ), Y, 'tc_nat' ),
% 1.23/1.61 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ) ) ],
% 1.23/1.61 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_lessequals'(
% 1.23/1.61 'c_Divides_Oop_Amod'( Y, X, 'tc_nat' ), X, 'tc_nat' ) ],
% 1.23/1.61 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_Divides_Oop_Amod'( X, Y,
% 1.23/1.61 'tc_nat' ), X ) ],
% 1.23/1.61 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_Divides_Oop_Amod'( Y
% 1.23/1.61 , X, 'tc_nat' ), X, 'tc_nat' ) ],
% 1.23/1.61 [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, 'c_times'( Y, Z, 'tc_nat' ),
% 1.23/1.61 'tc_nat' ), Z, 'tc_nat' ), 'c_Divides_Oop_Amod'( X, Z, 'tc_nat' ) ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ =( 'c_Divides_Oop_Amod'( 'c_times'( X, Y, 'tc_nat' ), X, 'tc_nat' ),
% 1.23/1.61 'c_0' ) ],
% 1.23/1.61 [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, 'c_times'( Y, Z, 'tc_nat' ),
% 1.23/1.61 'tc_nat' ), Y, 'tc_nat' ), 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ) ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ =( 'c_Divides_Oop_Amod'( 'c_times'( X, Y, 'tc_nat' ), Y, 'tc_nat' ),
% 1.23/1.61 'c_0' ) ],
% 1.23/1.61 [ =( 'c_Divides_Oop_Amod'( X, X, 'tc_nat' ), 'c_0' ) ],
% 1.23/1.61 [ =( 'c_div'( 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ), Y, 'tc_nat' ),
% 1.23/1.61 'c_0' ) ],
% 1.23/1.61 [ =( 'c_Divides_Oop_Amod'( 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ), Y,
% 1.23/1.61 'tc_nat' ), 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ) ) ],
% 1.23/1.61 [ ~( =( 'c_emptyset', 'c_Equiv__Relations_Oquotient'( X, Y, Z ) ) ), =(
% 1.23/1.61 X, 'c_emptyset' ) ],
% 1.23/1.61 [ =( 'c_emptyset', 'c_Equiv__Relations_Oquotient'( 'c_emptyset', X, Y )
% 1.23/1.61 ) ],
% 1.23/1.61 [ ~( =( 'c_Equiv__Relations_Oquotient'( X, Y, Z ), 'c_emptyset' ) ), =(
% 1.23/1.61 X, 'c_emptyset' ) ],
% 1.23/1.61 [ =( 'c_Equiv__Relations_Oquotient'( 'c_emptyset', X, Y ), 'c_emptyset'
% 1.23/1.61 ) ],
% 1.23/1.61 [ =( 'c_Extraction_Osumbool_Osumbool__case'( X, Y,
% 1.23/1.61 'c_Extraction_Osumbool_OLeft', Z ), X ) ],
% 1.23/1.61 [ =( 'c_Extraction_Osumbool_Osumbool__case'( X, Y,
% 1.23/1.61 'c_Extraction_Osumbool_ORight', Z ), Y ) ],
% 1.23/1.61 [ ~( =( 'c_Extraction_Osumbool_OLeft', 'c_Extraction_Osumbool_ORight' )
% 1.23/1.61 ) ],
% 1.23/1.61 [ ~( =( 'c_Extraction_Osumbool_ORight', 'c_Extraction_Osumbool_OLeft' )
% 1.23/1.61 ) ],
% 1.23/1.61 [ =( 'c_Extraction_Osumbool_Osumbool__rec'( X, Y,
% 1.23/1.61 'c_Extraction_Osumbool_OLeft', Z ), X ) ],
% 1.23/1.61 [ =( 'c_Extraction_Osumbool_Osumbool__rec'( X, Y,
% 1.23/1.61 'c_Extraction_Osumbool_ORight', Z ), Y ) ],
% 1.23/1.61 [ =( 'c_Nat_Osize'( 'c_Extraction_Osumbool_OLeft',
% 1.23/1.61 'tc_Extraction_Osumbool' ), 'c_0' ) ],
% 1.23/1.61 [ =( 'c_Nat_Osize'( 'c_Extraction_Osumbool_ORight',
% 1.23/1.61 'tc_Extraction_Osumbool' ), 'c_0' ) ],
% 1.23/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~(
% 1.23/1.61 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_lessequals'( Y
% 1.23/1.61 , 'c_Finite__Set_OMax'( Z, X ), X ), =( Z, 'c_emptyset' ) ],
% 1.23/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.23/1.61 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'( 'c_Finite__Set_OMax'(
% 1.23/1.61 Y, X ), Y, X ), =( Y, 'c_emptyset' ) ],
% 1.23/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.23/1.61 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), =( Y, 'c_emptyset' ), =(
% 1.23/1.61 'c_Finite__Set_OMax'( 'c_insert'( Z, Y, X ), X ), 'c_Orderings_Omax'( Z,
% 1.23/1.61 'c_Finite__Set_OMax'( Y, X ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~(
% 1.23/1.61 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_lessequals'(
% 1.23/1.61 'c_Finite__Set_OMax'( Z, X ), T, X ) ), 'c_lessequals'( Y, T, X ), =( Z,
% 1.23/1.61 'c_emptyset' ) ],
% 1.23/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.23/1.61 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'(
% 1.23/1.61 'c_Main_OMax__le__iff__1'( Y, Z, X ), Y, X ), 'c_lessequals'(
% 1.23/1.61 'c_Finite__Set_OMax'( Y, X ), Z, X ), =( Y, 'c_emptyset' ) ],
% 1.23/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.23/1.61 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_lessequals'(
% 1.23/1.61 'c_Main_OMax__le__iff__1'( Y, Z, X ), Z, X ) ), 'c_lessequals'(
% 1.23/1.61 'c_Finite__Set_OMax'( Y, X ), Z, X ), =( Y, 'c_emptyset' ) ],
% 1.23/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~(
% 1.23/1.61 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_less'(
% 1.23/1.61 'c_Finite__Set_OMax'( Z, X ), T, X ) ), 'c_less'( Y, T, X ), =( Z,
% 1.23/1.61 'c_emptyset' ) ],
% 1.23/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.23/1.61 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'(
% 1.23/1.61 'c_Main_OMax__less__iff__1'( Y, Z, X ), Y, X ), 'c_less'(
% 1.23/1.61 'c_Finite__Set_OMax'( Y, X ), Z, X ), =( Y, 'c_emptyset' ) ],
% 1.23/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.23/1.61 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_less'(
% 1.23/1.61 'c_Main_OMax__less__iff__1'( Y, Z, X ), Z, X ) ), 'c_less'(
% 1.23/1.61 'c_Finite__Set_OMax'( Y, X ), Z, X ), =( Y, 'c_emptyset' ) ],
% 1.23/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_Finite__Set_OMax'(
% 1.23/1.61 'c_insert'( Y, 'c_emptyset', X ), X ), Y ) ],
% 1.23/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~(
% 1.23/1.61 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_lessequals'(
% 1.23/1.61 T, 'c_Finite__Set_OMin'( Z, X ), X ) ), 'c_lessequals'( T, Y, X ), =( Z,
% 1.23/1.61 'c_emptyset' ) ],
% 1.23/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.23/1.61 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'(
% 1.23/1.61 'c_Main_OMin__ge__iff__1'( Y, Z, X ), Y, X ), 'c_lessequals'( Z,
% 1.23/1.61 'c_Finite__Set_OMin'( Y, X ), X ), =( Y, 'c_emptyset' ) ],
% 1.23/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.23/1.61 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_lessequals'( Z,
% 1.23/1.61 'c_Main_OMin__ge__iff__1'( Y, Z, X ), X ) ), 'c_lessequals'( Z,
% 1.23/1.61 'c_Finite__Set_OMin'( Y, X ), X ), =( Y, 'c_emptyset' ) ],
% 1.23/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~(
% 1.23/1.61 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_less'( T,
% 1.23/1.61 'c_Finite__Set_OMin'( Z, X ), X ) ), 'c_less'( T, Y, X ), =( Z,
% 1.23/1.61 'c_emptyset' ) ],
% 1.23/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.23/1.61 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'(
% 1.23/1.61 'c_Main_OMin__gr__iff__1'( Y, Z, X ), Y, X ), 'c_less'( Z,
% 1.23/1.61 'c_Finite__Set_OMin'( Y, X ), X ), =( Y, 'c_emptyset' ) ],
% 1.23/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.23/1.61 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_less'( Z,
% 1.23/1.61 'c_Main_OMin__gr__iff__1'( Y, Z, X ), X ) ), 'c_less'( Z,
% 1.23/1.61 'c_Finite__Set_OMin'( Y, X ), X ), =( Y, 'c_emptyset' ) ],
% 1.23/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.23/1.61 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'( 'c_Finite__Set_OMin'(
% 1.23/1.61 Y, X ), Y, X ), =( Y, 'c_emptyset' ) ],
% 1.23/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.23/1.61 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), =( Y, 'c_emptyset' ), =(
% 1.23/1.61 'c_Finite__Set_OMin'( 'c_insert'( Z, Y, X ), X ), 'c_Orderings_Omin'( Z,
% 1.23/1.61 'c_Finite__Set_OMin'( Y, X ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~(
% 1.23/1.61 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_lessequals'(
% 1.23/1.61 'c_Finite__Set_OMin'( Z, X ), Y, X ), =( Z, 'c_emptyset' ) ],
% 1.23/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_Finite__Set_OMin'(
% 1.23/1.61 'c_insert'( Y, 'c_emptyset', X ), X ), Y ) ],
% 1.23/1.61 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), ~( =(
% 1.23/1.61 'c_Finite__Set_Ocard'( X, Y ), 'c_0' ) ), =( X, 'c_emptyset' ) ],
% 1.23/1.61 [ ~( 'c_in'( 'c_emptyset', 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ),
% 1.23/1.61 =( 'c_Finite__Set_Ocard'( 'c_emptyset', X ), 'c_0' ) ],
% 1.23/1.61 [ =( 'c_Finite__Set_Ocard'( 'c_emptyset', X ), 'c_0' ) ],
% 1.23/1.61 [ 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ), =(
% 1.23/1.61 'c_Finite__Set_Ocard'( X, Y ), 'c_0' ) ],
% 1.23/1.61 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( Z,
% 1.23/1.61 X, Y ), =( 'c_Finite__Set_Ocard'( 'c_insert'( Z, X, Y ), Y ), 'c_Suc'(
% 1.23/1.61 'c_Finite__Set_Ocard'( X, Y ) ) ) ],
% 1.23/1.61 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'(
% 1.23/1.61 'c_minus'( X, Z, 'tc_set'( Y ) ), 'c_Finite__Set_OFinites', 'tc_set'( Y )
% 1.23/1.61 ) ],
% 1.23/1.61 [ ~( 'c_in'( 'c_minus'( X, 'c_insert'( Y, Z, T ), 'tc_set'( T ) ),
% 1.23/1.61 'c_Finite__Set_OFinites', 'tc_set'( T ) ) ), 'c_in'( 'c_minus'( X, Z,
% 1.23/1.61 'tc_set'( T ) ), 'c_Finite__Set_OFinites', 'tc_set'( T ) ) ],
% 1.23/1.61 [ ~( 'c_in'( 'c_minus'( X, Y, 'tc_set'( Z ) ), 'c_Finite__Set_OFinites'
% 1.23/1.61 , 'tc_set'( Z ) ) ), 'c_in'( 'c_minus'( X, 'c_insert'( T, Y, Z ),
% 1.23/1.61 'tc_set'( Z ) ), 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ],
% 1.23/1.61 [ ~( 'c_in'( 'c_Pow'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'(
% 1.23/1.61 'tc_set'( Y ) ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 1.23/1.61 ],
% 1.23/1.61 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'(
% 1.23/1.61 'c_Pow'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'( Y ) ) ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'c_in'( 'c_union'( X, Y, Z ), 'c_Finite__Set_OFinites', 'tc_set'( Z
% 1.23/1.61 ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ],
% 1.23/1.61 [ ~( 'c_in'( 'c_union'( X, Y, Z ), 'c_Finite__Set_OFinites', 'tc_set'( Z
% 1.23/1.61 ) ) ), 'c_in'( Y, 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ],
% 1.23/1.61 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), ~( 'c_in'(
% 1.23/1.61 Z, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 'c_union'( Z, X,
% 1.23/1.61 Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 1.23/1.61 [ ~( 'c_in'( 'c_Relation_Oconverse'( X, Y, Z ), 'c_Finite__Set_OFinites'
% 1.23/1.61 , 'tc_set'( 'tc_prod'( Z, Y ) ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites'
% 1.23/1.61 , 'tc_set'( 'tc_prod'( Y, Z ) ) ) ],
% 1.23/1.61 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 'tc_prod'( Y, Z ) )
% 1.23/1.61 ) ), 'c_in'( 'c_Relation_Oconverse'( X, Y, Z ), 'c_Finite__Set_OFinites'
% 1.23/1.61 , 'tc_set'( 'tc_prod'( Z, Y ) ) ) ],
% 1.23/1.61 [ ~( 'c_in'( 'c_insert'( X, Y, Z ), 'c_Finite__Set_OFinites', 'tc_set'(
% 1.23/1.61 Z ) ) ), 'c_in'( Y, 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ],
% 1.23/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.23/1.61 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_lessequals'(
% 1.23/1.61 'c_Finite__Set_OMin'( Y, X ), 'c_Finite__Set_OMax'( Y, X ), X ), =( Y,
% 1.23/1.61 'c_emptyset' ) ],
% 1.23/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~(
% 1.23/1.61 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), =( Z,
% 1.23/1.61 'c_emptyset' ), =( 'c_Orderings_Omin'( Y, 'c_Finite__Set_OMax'( Z, X ), X
% 1.23/1.61 ), Y ) ],
% 1.23/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~(
% 1.23/1.61 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), =( Z,
% 1.23/1.61 'c_emptyset' ), =( 'c_Orderings_Omax'( Y, 'c_Finite__Set_OMin'( Z, X ), X
% 1.23/1.61 ), Y ) ],
% 1.23/1.61 [ =( 'c_NatArith_Oof__nat'( X, 'tc_nat' ), X ) ],
% 1.23/1.61 [ =( 'c_Fun_Oid'( X, Y ), X ) ],
% 1.23/1.61 [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, 'c_0', 'tc_nat', 'tc_nat' ) ), X ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ =( 'c_GCD_Ogcd'( 'c_Pair'( 'c_0', X, 'tc_nat', 'tc_nat' ) ), X ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, 'c_Suc'( 'c_0' ), 'tc_nat', 'tc_nat' ) )
% 1.23/1.61 , 'c_1' ) ],
% 1.23/1.61 [ =( 'c_GCD_Ogcd'( 'c_Pair'( 'c_Suc'( 'c_0' ), X, 'tc_nat', 'tc_nat' ) )
% 1.23/1.61 , 'c_1' ) ],
% 1.23/1.61 [ =( 'c_GCD_Ogcd'( 'c_Pair'( 'c_plus'( X, Y, 'tc_nat' ), Y, 'tc_nat',
% 1.23/1.61 'tc_nat' ) ), 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ) ) ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, 'c_plus'( X, Y, 'tc_nat' ), 'tc_nat',
% 1.23/1.61 'tc_nat' ) ), 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ) ) ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, 'c_plus'( Y, X, 'tc_nat' ), 'tc_nat',
% 1.23/1.61 'tc_nat' ) ), 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ) ) ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Y, Z, 'tc_nat',
% 1.23/1.61 'tc_nat' ) ), 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_nat' ) ],
% 1.23/1.61 [ ~( 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Y, Z, 'tc_nat',
% 1.23/1.61 'tc_nat' ) ), 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, Z, 'tc_nat' ) ],
% 1.23/1.61 [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_nat' ) ), ~( 'c_Divides_Oop_Advd'(
% 1.23/1.61 X, Z, 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Z, Y
% 1.23/1.61 , 'tc_nat', 'tc_nat' ) ), 'tc_nat' ) ],
% 1.23/1.61 [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, 'c_times'( X, Y, 'tc_nat' ), 'tc_nat',
% 1.23/1.61 'tc_nat' ) ), X ) ],
% 1.23/1.61 [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, X, 'tc_nat', 'tc_nat' ) ), X ) ],
% 1.23/1.61 [ ~( 'c_in'( 'c_UNIV', 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) )
% 1.23/1.61 ) ],
% 1.23/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 'c_HOL_Oabs'(
% 1.23/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), X ), 'c_1' ) ],
% 1.23/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'class_Power_Orecpower'( X
% 1.23/1.61 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 'c_HOL_Oabs'(
% 1.23/1.61 'c_Nat_Opower'( 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), Y, X ), X
% 1.23/1.61 ), 'c_1' ) ],
% 1.23/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0',
% 1.23/1.61 'c_Numeral_Onumber__of'( Y, X ), X ) ), 'c_IntDef_Oneg'(
% 1.23/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls',
% 1.23/1.61 'c_Numeral_Obin__minus'( Y ) ), X ), X ) ],
% 1.23/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.23/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls',
% 1.23/1.61 'c_Numeral_Obin__minus'( Y ) ), X ), X ) ), 'c_less'( 'c_0',
% 1.23/1.61 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.23/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_1',
% 1.23/1.61 'c_Numeral_Onumber__of'( Y, X ), X ) ), 'c_IntDef_Oneg'(
% 1.23/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'(
% 1.23/1.61 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.23/1.61 , X ), X ) ],
% 1.23/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.23/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'(
% 1.23/1.61 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.23/1.61 , X ), X ) ), 'c_less'( 'c_1', 'c_Numeral_Onumber__of'( Y, X ), X ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'(
% 1.23/1.61 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), 'c_IntDef_Oneg'(
% 1.23/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.23/1.61 'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ) ],
% 1.23/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.23/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.23/1.61 'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ) ), 'c_less'(
% 1.23/1.61 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ],
% 1.23/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'(
% 1.23/1.61 'c_Numeral_Onumber__of'( Y, X ), 'c_1', X ) ), 'c_IntDef_Oneg'(
% 1.23/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.23/1.61 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.23/1.61 'c_Numeral_Obit_OB1' ) ) ), X ), X ) ],
% 1.23/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.23/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.23/1.61 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.23/1.61 'c_Numeral_Obit_OB1' ) ) ), X ), X ) ), 'c_less'( 'c_Numeral_Onumber__of'(
% 1.23/1.61 Y, X ), 'c_1', X ) ],
% 1.23/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.23/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.23/1.61 'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ) ), ~(
% 1.23/1.61 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'(
% 1.23/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.23/1.61 'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ), 'c_lessequals'(
% 1.23/1.61 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.23/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.23/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.23/1.61 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.23/1.61 'c_Numeral_Obit_OB1' ) ) ), X ), X ) ), ~( 'c_lessequals'( 'c_1',
% 1.23/1.61 'c_Numeral_Onumber__of'( Y, X ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'(
% 1.23/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.23/1.61 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.23/1.61 'c_Numeral_Obit_OB1' ) ) ), X ), X ), 'c_lessequals'( 'c_1',
% 1.23/1.61 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.23/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.23/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls',
% 1.23/1.61 'c_Numeral_Obin__minus'( Y ) ), X ), X ) ), ~( 'c_lessequals'(
% 1.23/1.61 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ) ],
% 1.23/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'(
% 1.23/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls',
% 1.23/1.61 'c_Numeral_Obin__minus'( Y ) ), X ), X ), 'c_lessequals'(
% 1.23/1.61 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ],
% 1.23/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.23/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'(
% 1.23/1.61 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.23/1.61 , X ), X ) ), ~( 'c_lessequals'( 'c_Numeral_Onumber__of'( Y, X ), 'c_1',
% 1.23/1.61 X ) ) ],
% 1.23/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'(
% 1.23/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'(
% 1.23/1.61 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.23/1.61 , X ), X ), 'c_lessequals'( 'c_Numeral_Onumber__of'( Y, X ), 'c_1', X ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'( 'c_1', 'c_1', X
% 1.23/1.61 ), 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.23/1.61 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), X ) ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'( 'c_1',
% 1.23/1.61 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'(
% 1.23/1.61 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.23/1.61 'c_Numeral_Obit_OB1' ), Y ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'(
% 1.23/1.61 'c_Numeral_Onumber__of'( Y, X ), 'c_1', X ), 'c_Numeral_Onumber__of'(
% 1.23/1.61 'c_Numeral_Obin__add'( Y, 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.23/1.61 'c_Numeral_Obit_OB1' ) ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_minus'( 'c_1',
% 1.23/1.61 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'(
% 1.23/1.61 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.23/1.61 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_minus'(
% 1.23/1.61 'c_Numeral_Onumber__of'( Y, X ), 'c_1', X ), 'c_Numeral_Onumber__of'(
% 1.23/1.61 'c_Numeral_Obin__add'( Y, 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'(
% 1.23/1.61 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ) ) ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( =( 'c_0',
% 1.23/1.61 'c_Numeral_Onumber__of'( Y, X ) ) ), 'c_IntDef_Oiszero'(
% 1.23/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls',
% 1.23/1.61 'c_Numeral_Obin__minus'( Y ) ), X ), X ) ],
% 1.23/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'c_IntDef_Oiszero'(
% 1.23/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls',
% 1.23/1.61 'c_Numeral_Obin__minus'( Y ) ), X ), X ) ), =( 'c_0',
% 1.23/1.61 'c_Numeral_Onumber__of'( Y, X ) ) ],
% 1.23/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( =( 'c_1',
% 1.23/1.61 'c_Numeral_Onumber__of'( Y, X ) ) ), 'c_IntDef_Oiszero'(
% 1.23/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'(
% 1.23/1.61 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.23/1.61 , X ), X ) ],
% 1.23/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'c_IntDef_Oiszero'(
% 1.23/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'(
% 1.23/1.61 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.23/1.61 , X ), X ) ), =( 'c_1', 'c_Numeral_Onumber__of'( Y, X ) ) ],
% 1.23/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( =( 'c_Numeral_Onumber__of'(
% 1.23/1.61 Y, X ), 'c_0' ) ), 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'(
% 1.23/1.61 'c_Numeral_Obin__add'( Y, 'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ),
% 1.23/1.61 X ), X ) ],
% 1.23/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'c_IntDef_Oiszero'(
% 1.23/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.23/1.61 'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ) ), =(
% 1.23/1.61 'c_Numeral_Onumber__of'( Y, X ), 'c_0' ) ],
% 1.23/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( =( 'c_Numeral_Onumber__of'(
% 1.23/1.61 Y, X ), 'c_1' ) ), 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'(
% 1.23/1.61 'c_Numeral_Obin__add'( Y, 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'(
% 1.23/1.61 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ) ) ), X ), X ) ],
% 1.23/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'c_IntDef_Oiszero'(
% 1.23/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.23/1.61 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.23/1.61 'c_Numeral_Obit_OB1' ) ) ), X ), X ) ), =( 'c_Numeral_Onumber__of'( Y, X
% 1.23/1.61 ), 'c_1' ) ],
% 1.23/1.61 [ ~( =( 'c_IntDef_Oint'( X ), 'c_Numeral_Onumber__of'( Y,
% 1.23/1.61 'tc_IntDef_Oint' ) ) ), =( X, 'c_IntDef_Onat'( 'c_Numeral_Onumber__of'( Y
% 1.23/1.61 , 'tc_IntDef_Oint' ) ) ) ],
% 1.23/1.61 [ ~( =( 'c_IntDef_Oint'( X ), 'c_Numeral_Onumber__of'( Y,
% 1.23/1.61 'tc_IntDef_Oint' ) ) ), 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Y
% 1.23/1.61 , 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.23/1.61 [ ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.23/1.61 ), 'tc_IntDef_Oint' ) ), =( 'c_IntDef_Oint'( 'c_IntDef_Onat'(
% 1.23/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ) ) ),
% 1.23/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ) ) ],
% 1.23/1.61 [ =( 'c_IntDef_Onat'( 'c_1' ), 'c_Suc'( 'c_0' ) ) ],
% 1.23/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_IntDef_Oof__int'(
% 1.23/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', 'tc_IntDef_Oint' ), X ),
% 1.23/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ) ) ],
% 1.23/1.61 [ ~( 'c_less'( 'c_Suc'( 'c_0' ), 'c_IntDef_Onat'( X ), 'tc_nat' ) ),
% 1.23/1.61 'c_less'( 'c_1', X, 'tc_IntDef_Oint' ) ],
% 1.23/1.61 [ ~( 'c_less'( 'c_1', X, 'tc_IntDef_Oint' ) ), 'c_less'( 'c_Suc'( 'c_0'
% 1.23/1.61 ), 'c_IntDef_Onat'( X ), 'tc_nat' ) ],
% 1.23/1.61 [ =( 'c_plus'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' )
% 1.23/1.61 , 'c_minus'( X, Y, 'tc_IntDef_Oint' ) ) ],
% 1.23/1.61 [ ~( 'c_less'( 'c_HOL_Oabs'( X, 'tc_IntDef_Oint' ), 'c_1',
% 1.23/1.61 'tc_IntDef_Oint' ) ), =( X, 'c_0' ) ],
% 1.23/1.61 [ 'c_less'( 'c_HOL_Oabs'( 'c_0', 'tc_IntDef_Oint' ), 'c_1',
% 1.23/1.61 'tc_IntDef_Oint' ) ],
% 1.23/1.61 [ ~( 'c_less'( X, 'c_plus'( Y, 'c_1', 'tc_IntDef_Oint' ),
% 1.23/1.61 'tc_IntDef_Oint' ) ), 'c_lessequals'( X, Y, 'tc_IntDef_Oint' ) ],
% 1.23/1.61 [ ~( 'c_lessequals'( X, Y, 'tc_IntDef_Oint' ) ), 'c_less'( X, 'c_plus'(
% 1.23/1.61 Y, 'c_1', 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.23/1.61 [ ~( 'c_lessequals'( X, 'c_minus'( Y, 'c_1', 'tc_IntDef_Oint' ),
% 1.23/1.61 'tc_IntDef_Oint' ) ), 'c_less'( X, Y, 'tc_IntDef_Oint' ) ],
% 1.23/1.61 [ ~( 'c_less'( X, Y, 'tc_IntDef_Oint' ) ), 'c_lessequals'( X, 'c_minus'(
% 1.23/1.61 Y, 'c_1', 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.23/1.61 [ ~( 'c_in'( X, 'c_IntDef_OInteg', 'tc_set'( 'tc_prod'( 'tc_nat',
% 1.23/1.61 'tc_nat' ) ) ) ), ~( 'c_in'( Y, 'c_IntDef_OInteg', 'tc_set'( 'tc_prod'(
% 1.23/1.61 'tc_nat', 'tc_nat' ) ) ) ), ~( =( 'c_IntDef_OAbs__Integ'( Y ),
% 1.23/1.61 'c_IntDef_OAbs__Integ'( X ) ) ), =( Y, X ) ],
% 1.23/1.61 [ ~( 'c_in'( X, 'c_IntDef_OInteg', 'tc_set'( 'tc_prod'( 'tc_nat',
% 1.23/1.61 'tc_nat' ) ) ) ), =( 'c_IntDef_ORep__Integ'( 'c_IntDef_OAbs__Integ'( X )
% 1.23/1.61 ), X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'c_in'( 'c_0',
% 1.23/1.61 'c_IntDef_OInts', X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'c_in'( 'c_1',
% 1.23/1.61 'c_IntDef_OInts', X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_in'( Y,
% 1.23/1.61 'c_IntDef_OInts', X ) ), ~( 'c_in'( Z, 'c_IntDef_OInts', X ) ), 'c_in'(
% 1.23/1.61 'c_plus'( Z, Y, X ), 'c_IntDef_OInts', X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_in'( Y,
% 1.23/1.61 'c_IntDef_OInts', X ) ), ~( 'c_in'( Z, 'c_IntDef_OInts', X ) ), 'c_in'(
% 1.23/1.61 'c_minus'( Z, Y, X ), 'c_IntDef_OInts', X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_in'( Y,
% 1.23/1.61 'c_IntDef_OInts', X ) ), 'c_in'( 'c_uminus'( Y, X ), 'c_IntDef_OInts', X
% 1.23/1.61 ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_in'( Y,
% 1.23/1.61 'c_IntDef_OInts', X ) ), ~( 'c_in'( Z, 'c_IntDef_OInts', X ) ), 'c_in'(
% 1.23/1.61 'c_times'( Z, Y, X ), 'c_IntDef_OInts', X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 'c_in'(
% 1.23/1.61 'c_0', 'c_IntDef_ONats', X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 'c_in'(
% 1.23/1.61 'c_1', 'c_IntDef_ONats', X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), ~(
% 1.23/1.61 'c_in'( Y, 'c_IntDef_ONats', X ) ), ~( 'c_in'( Z, 'c_IntDef_ONats', X ) )
% 1.23/1.61 , 'c_in'( 'c_plus'( Z, Y, X ), 'c_IntDef_ONats', X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), ~(
% 1.23/1.61 'c_in'( Y, 'c_IntDef_ONats', X ) ), ~( 'c_in'( Z, 'c_IntDef_ONats', X ) )
% 1.23/1.61 , 'c_in'( 'c_times'( Z, Y, X ), 'c_IntDef_ONats', X ) ],
% 1.23/1.61 [ =( 'c_HOL_Oabs'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ),
% 1.23/1.61 'c_IntDef_Oint'( X ) ) ],
% 1.23/1.61 [ ~( =( 'c_Relation_OImage'( 'c_IntDef_Ointrel', 'c_insert'( X,
% 1.23/1.61 'c_emptyset', 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'tc_prod'( 'tc_nat',
% 1.23/1.61 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'c_Relation_OImage'(
% 1.23/1.61 'c_IntDef_Ointrel', 'c_insert'( Y, 'c_emptyset', 'tc_prod'( 'tc_nat',
% 1.23/1.61 'tc_nat' ) ), 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat',
% 1.23/1.61 'tc_nat' ) ) ) ), 'c_in'( 'c_Pair'( X, Y, 'tc_prod'( 'tc_nat', 'tc_nat' )
% 1.23/1.61 , 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'c_IntDef_Ointrel', 'tc_prod'(
% 1.23/1.61 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'(
% 1.23/1.61 'tc_nat', 'tc_nat' ) ), 'c_IntDef_Ointrel', 'tc_prod'( 'tc_prod'(
% 1.23/1.61 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ), =(
% 1.23/1.61 'c_Relation_OImage'( 'c_IntDef_Ointrel', 'c_insert'( X, 'c_emptyset',
% 1.23/1.61 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'tc_prod'( 'tc_nat', 'tc_nat' ),
% 1.23/1.61 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'c_Relation_OImage'(
% 1.23/1.61 'c_IntDef_Ointrel', 'c_insert'( Y, 'c_emptyset', 'tc_prod'( 'tc_nat',
% 1.23/1.61 'tc_nat' ) ), 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat',
% 1.23/1.61 'tc_nat' ) ) ) ],
% 1.23/1.61 [ ~( =( 'c_0', 'c_1' ) ) ],
% 1.23/1.61 [ =( 'c_IntDef_Oint'( 'c_1' ), 'c_1' ) ],
% 1.23/1.61 [ =( 'c_IntDef_Oint'( 'c_Suc'( X ) ), 'c_plus'( 'c_1', 'c_IntDef_Oint'(
% 1.23/1.61 X ), 'tc_IntDef_Oint' ) ) ],
% 1.23/1.61 [ ~( =( 'c_IntDef_Oint'( X ), 'c_0' ) ), =( X, 'c_0' ) ],
% 1.23/1.61 [ =( 'c_IntDef_Oint'( 'c_0' ), 'c_0' ) ],
% 1.23/1.61 [ ~( =( 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ) ) ), =( X, Y ) ],
% 1.23/1.61 [ ~( 'c_lessequals'( 'c_IntDef_Oint'( X ), 'c_0', 'tc_IntDef_Oint' ) ),
% 1.23/1.61 =( X, 'c_0' ) ],
% 1.23/1.61 [ 'c_lessequals'( 'c_IntDef_Oint'( 'c_0' ), 'c_0', 'tc_IntDef_Oint' ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'c_less'( 'c_IntDef_Oint'( X ), 'c_0', 'tc_IntDef_Oint' ) ) ],
% 1.23/1.61 [ ~( 'c_lessequals'( 'c_0', X, 'tc_IntDef_Oint' ) ), =( 'c_IntDef_Oint'(
% 1.23/1.61 'c_IntDef_Onat'( X ) ), X ) ],
% 1.23/1.61 [ 'c_lessequals'( 'c_0', X, 'tc_IntDef_Oint' ), =( 'c_IntDef_Oint'(
% 1.23/1.61 'c_IntDef_Onat'( X ) ), 'c_0' ) ],
% 1.23/1.61 [ 'c_in'( 'c_Relation_OImage'( 'c_IntDef_Ointrel', 'c_insert'( 'c_Pair'(
% 1.23/1.61 X, Y, 'tc_nat', 'tc_nat' ), 'c_emptyset', 'tc_prod'( 'tc_nat', 'tc_nat' )
% 1.23/1.61 ), 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ),
% 1.23/1.61 'c_IntDef_OInteg', 'tc_set'( 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ],
% 1.23/1.61 [ ~( 'c_in'( 'c_Pair'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ), 'c_Pair'( Z
% 1.23/1.61 , T, 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'(
% 1.23/1.61 'tc_nat', 'tc_nat' ) ), 'c_IntDef_Ointrel', 'tc_prod'( 'tc_prod'(
% 1.23/1.61 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ), =( 'c_plus'(
% 1.23/1.61 X, T, 'tc_nat' ), 'c_plus'( Z, Y, 'tc_nat' ) ) ],
% 1.23/1.61 [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_plus'( Z, T, 'tc_nat' ) ) ),
% 1.23/1.61 'c_in'( 'c_Pair'( 'c_Pair'( X, T, 'tc_nat', 'tc_nat' ), 'c_Pair'( Z, Y,
% 1.23/1.61 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'(
% 1.23/1.61 'tc_nat', 'tc_nat' ) ), 'c_IntDef_Ointrel', 'tc_prod'( 'tc_prod'(
% 1.23/1.61 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ],
% 1.23/1.61 [ =( 'c_IntDef_Onat'( 'c_IntDef_Oint'( X ) ), X ) ],
% 1.23/1.61 [ ~( 'c_lessequals'( X, 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_IntDef_Onat'(
% 1.23/1.61 X ), 'c_0' ) ],
% 1.23/1.61 [ =( 'c_IntDef_Onat'( 'c_0' ), 'c_0' ) ],
% 1.23/1.61 [ =( 'c_IntDef_Onat'( 'c_uminus'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint'
% 1.23/1.61 ) ), 'c_0' ) ],
% 1.23/1.61 [ 'c_IntDef_Oneg'( 'c_uminus'( 'c_IntDef_Oint'( 'c_Suc'( X ) ),
% 1.23/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.23/1.61 [ ~( =( 'c_uminus'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ),
% 1.23/1.61 'c_IntDef_Oint'( Y ) ) ), =( X, 'c_0' ) ],
% 1.23/1.61 [ ~( =( 'c_uminus'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ),
% 1.23/1.61 'c_IntDef_Oint'( Y ) ) ), =( Y, 'c_0' ) ],
% 1.23/1.61 [ =( 'c_uminus'( 'c_IntDef_Oint'( 'c_0' ), 'tc_IntDef_Oint' ),
% 1.23/1.61 'c_IntDef_Oint'( 'c_0' ) ) ],
% 1.23/1.61 [ ~( 'c_less'( 'c_IntDef_Oint'( X ), 'c_uminus'( 'c_IntDef_Oint'( Y ),
% 1.23/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ],
% 1.23/1.61 [ ~( 'c_IntDef_Oneg'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ) ) ],
% 1.23/1.61 [ ~( 'c_lessequals'( 'c_0', 'c_uminus'( 'c_IntDef_Oint'( 'c_Suc'( X ) )
% 1.23/1.61 , 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_0',
% 1.23/1.61 'c_IntDef_Oof__int'( Y, X ) ) ), =( 'c_0', Y ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 'c_0',
% 1.23/1.61 'c_IntDef_Oof__int'( 'c_0', X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.23/1.61 'c_0', 'c_IntDef_Oof__int'( Y, X ), X ) ), 'c_lessequals'( 'c_0', Y,
% 1.23/1.61 'tc_IntDef_Oint' ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.23/1.61 'c_0', Y, 'tc_IntDef_Oint' ) ), 'c_lessequals'( 'c_0',
% 1.23/1.61 'c_IntDef_Oof__int'( Y, X ), X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0'
% 1.23/1.61 , 'c_IntDef_Oof__int'( Y, X ), X ) ), 'c_less'( 'c_0', Y,
% 1.23/1.61 'tc_IntDef_Oint' ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0'
% 1.23/1.61 , Y, 'tc_IntDef_Oint' ) ), 'c_less'( 'c_0', 'c_IntDef_Oof__int'( Y, X ),
% 1.23/1.61 X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.23/1.61 'c_IntDef_Oof__int'( 'c_1', X ), 'c_1' ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.23/1.61 'c_IntDef_Oof__int'( 'c_plus'( Y, Z, 'tc_IntDef_Oint' ), X ), 'c_plus'(
% 1.23/1.61 'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.23/1.61 'c_IntDef_Oof__int'( 'c_minus'( Y, Z, 'tc_IntDef_Oint' ), X ), 'c_minus'(
% 1.23/1.61 'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.23/1.61 'c_IntDef_Oof__int'( Y, X ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.23/1.61 'c_IntDef_Oof__int'( 'c_0', X ), 'c_0' ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.23/1.61 'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ) ) ), =( Y, Z ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.23/1.61 'c_IntDef_Oof__int'( 'c_IntDef_Oint'( Y ), X ), 'c_NatArith_Oof__nat'( Y
% 1.23/1.61 , X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.23/1.61 'c_IntDef_Oof__int'( Y, X ), 'c_0', X ) ), 'c_lessequals'( Y, 'c_0',
% 1.23/1.61 'tc_IntDef_Oint' ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.23/1.61 Y, 'c_0', 'tc_IntDef_Oint' ) ), 'c_lessequals'( 'c_IntDef_Oof__int'( Y, X
% 1.23/1.61 ), 'c_0', X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.23/1.61 'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ), X ) ),
% 1.23/1.61 'c_lessequals'( Y, Z, 'tc_IntDef_Oint' ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.23/1.61 Y, Z, 'tc_IntDef_Oint' ) ), 'c_lessequals'( 'c_IntDef_Oof__int'( Y, X ),
% 1.23/1.61 'c_IntDef_Oof__int'( Z, X ), X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'(
% 1.23/1.61 'c_IntDef_Oof__int'( Y, X ), 'c_0', X ) ), 'c_less'( Y, 'c_0',
% 1.23/1.61 'tc_IntDef_Oint' ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( Y,
% 1.23/1.61 'c_0', 'tc_IntDef_Oint' ) ), 'c_less'( 'c_IntDef_Oof__int'( Y, X ), 'c_0'
% 1.23/1.61 , X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'(
% 1.23/1.61 'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ), X ) ), 'c_less'(
% 1.23/1.61 Y, Z, 'tc_IntDef_Oint' ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( Y, Z,
% 1.23/1.61 'tc_IntDef_Oint' ) ), 'c_less'( 'c_IntDef_Oof__int'( Y, X ),
% 1.23/1.61 'c_IntDef_Oof__int'( Z, X ), X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.23/1.61 'c_IntDef_Oof__int'( 'c_uminus'( Y, 'tc_IntDef_Oint' ), X ), 'c_uminus'(
% 1.23/1.61 'c_IntDef_Oof__int'( Y, X ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.23/1.61 'c_IntDef_Oof__int'( 'c_times'( Y, Z, 'tc_IntDef_Oint' ), X ), 'c_times'(
% 1.23/1.61 'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.23/1.61 'c_IntDef_Oof__int'( 'c_NatArith_Oof__nat'( Y, 'tc_IntDef_Oint' ), X ),
% 1.23/1.61 'c_NatArith_Oof__nat'( Y, X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 'c_in'(
% 1.23/1.61 'c_NatArith_Oof__nat'( Y, X ), 'c_IntDef_ONats', X ) ],
% 1.23/1.61 [ ~( 'c_less'( 'c_0', 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ) ),
% 1.23/1.61 'c_less'( 'c_0', X, 'tc_nat' ) ],
% 1.23/1.61 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_IntDef_Oint'(
% 1.23/1.61 X ), 'tc_IntDef_Oint' ) ],
% 1.23/1.61 [ ~( 'c_less'( 'c_0', 'c_IntDef_Onat'( X ), 'tc_nat' ) ), 'c_less'(
% 1.23/1.61 'c_0', X, 'tc_IntDef_Oint' ) ],
% 1.23/1.61 [ ~( 'c_less'( 'c_0', X, 'tc_IntDef_Oint' ) ), 'c_less'( 'c_0',
% 1.23/1.61 'c_IntDef_Onat'( X ), 'tc_nat' ) ],
% 1.23/1.61 [ 'c_lessequals'( 'c_0', 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ) ],
% 1.23/1.61 [ ~( 'c_lessequals'( 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ),
% 1.23/1.61 'tc_IntDef_Oint' ) ), 'c_lessequals'( X, Y, 'tc_nat' ) ],
% 1.23/1.61 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 'c_IntDef_Oint'(
% 1.23/1.61 X ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ],
% 1.23/1.61 [ ~( 'c_less'( 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ),
% 1.23/1.61 'tc_IntDef_Oint' ) ), 'c_less'( X, Y, 'tc_nat' ) ],
% 1.23/1.61 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 'c_IntDef_Oint'( X ),
% 1.23/1.61 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ],
% 1.23/1.61 [ ~( 'c_less'( 'c_IntDef_Onat'( X ), 'c_IntDef_Onat'( Y ), 'tc_nat' ) )
% 1.23/1.61 , 'c_less'( 'c_0', Y, 'tc_IntDef_Oint' ) ],
% 1.23/1.61 [ ~( 'c_less'( 'c_IntDef_Onat'( X ), 'c_IntDef_Onat'( Y ), 'tc_nat' ) )
% 1.23/1.61 , 'c_less'( X, Y, 'tc_IntDef_Oint' ) ],
% 1.23/1.61 [ ~( 'c_less'( X, Y, 'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_0', Y,
% 1.23/1.61 'tc_IntDef_Oint' ) ), 'c_less'( 'c_IntDef_Onat'( X ), 'c_IntDef_Onat'( Y
% 1.23/1.61 ), 'tc_nat' ) ],
% 1.23/1.61 [ =( 'c_Divides_Oop_Amod'( X, 'c_0', 'tc_IntDef_Oint' ), X ) ],
% 1.23/1.61 [ ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_0',
% 1.23/1.61 'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_Numeral_Onumber__of'( Y,
% 1.23/1.61 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_div'(
% 1.23/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.23/1.61 Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_fst'( 'c_IntDiv_OnegateSnd'(
% 1.23/1.61 'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_uminus'( 'c_Numeral_Onumber__of'( X,
% 1.23/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_uminus'(
% 1.23/1.61 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.23/1.61 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint',
% 1.23/1.61 'tc_IntDef_Oint' ) ) ],
% 1.23/1.61 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.23/1.61 'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Y,
% 1.23/1.61 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_div'(
% 1.23/1.61 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.23/1.61 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_fst'( 'c_IntDiv_OnegDivAlg'(
% 1.23/1.61 'c_Pair'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.23/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.23/1.61 'tc_IntDef_Oint' ) ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.23/1.61 [ ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_0',
% 1.23/1.61 'tc_IntDef_Oint' ) ), =( 'c_div'( 'c_1', 'c_Numeral_Onumber__of'( X,
% 1.23/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_fst'( 'c_IntDiv_OnegateSnd'(
% 1.23/1.61 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_uminus'( 'c_1', 'tc_IntDef_Oint' ),
% 1.23/1.61 'c_uminus'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.23/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ),
% 1.23/1.61 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.23/1.61 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.23/1.61 'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Y,
% 1.23/1.61 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_div'(
% 1.23/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.23/1.61 Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_fst'( 'c_IntDiv_OnegateSnd'(
% 1.23/1.61 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_uminus'( 'c_Numeral_Onumber__of'( X,
% 1.23/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_uminus'(
% 1.23/1.61 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.23/1.61 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint',
% 1.23/1.61 'tc_IntDef_Oint' ) ) ],
% 1.23/1.61 [ ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.23/1.61 ), 'tc_IntDef_Oint' ) ), =( 'c_div'( 'c_1', 'c_Numeral_Onumber__of'( X,
% 1.23/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_fst'( 'c_IntDiv_OposDivAlg'(
% 1.23/1.61 'c_Pair'( 'c_1', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.23/1.61 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'tc_IntDef_Oint',
% 1.23/1.61 'tc_IntDef_Oint' ) ) ],
% 1.23/1.61 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.23/1.61 'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'(
% 1.23/1.61 Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_div'(
% 1.23/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.23/1.61 Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_fst'( 'c_IntDiv_OposDivAlg'(
% 1.23/1.61 'c_Pair'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.23/1.61 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.23/1.61 'tc_IntDef_Oint' ) ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.23/1.61 [ ~( 'c_Divides_Oop_Advd'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ),
% 1.23/1.61 'tc_IntDef_Oint' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ),
% 1.23/1.61 'c_Divides_Oop_Advd'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ),
% 1.23/1.61 'tc_IntDef_Oint' ) ],
% 1.23/1.61 [ =( 'c_div'( 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' ), Y,
% 1.23/1.61 'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.23/1.61 [ =( 'c_Divides_Oop_Amod'( 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint'
% 1.23/1.61 ), Y, 'tc_IntDef_Oint' ), 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' )
% 1.23/1.61 ) ],
% 1.23/1.61 [ ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_0',
% 1.23/1.61 'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_Numeral_Onumber__of'( Y,
% 1.23/1.61 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'(
% 1.23/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.23/1.61 Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_snd'( 'c_IntDiv_OnegateSnd'(
% 1.23/1.61 'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_uminus'( 'c_Numeral_Onumber__of'( X,
% 1.23/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_uminus'(
% 1.23/1.61 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.23/1.61 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint',
% 1.23/1.61 'tc_IntDef_Oint' ) ) ],
% 1.23/1.61 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.23/1.61 'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Y,
% 1.23/1.61 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'(
% 1.23/1.61 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.23/1.61 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_snd'( 'c_IntDiv_OnegDivAlg'(
% 1.23/1.61 'c_Pair'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.23/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.23/1.61 'tc_IntDef_Oint' ) ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.23/1.61 [ ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_0',
% 1.23/1.61 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 'c_1',
% 1.23/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.23/1.61 'c_snd'( 'c_IntDiv_OnegateSnd'( 'c_IntDiv_OnegDivAlg'( 'c_Pair'(
% 1.23/1.61 'c_uminus'( 'c_1', 'tc_IntDef_Oint' ), 'c_uminus'(
% 1.23/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.23/1.61 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint',
% 1.23/1.61 'tc_IntDef_Oint' ) ) ],
% 1.23/1.61 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.23/1.61 'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Y,
% 1.23/1.61 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'(
% 1.23/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.23/1.61 Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_snd'( 'c_IntDiv_OnegateSnd'(
% 1.23/1.61 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_uminus'( 'c_Numeral_Onumber__of'( X,
% 1.23/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_uminus'(
% 1.23/1.61 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.23/1.61 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint',
% 1.23/1.61 'tc_IntDef_Oint' ) ) ],
% 1.23/1.61 [ ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.23/1.61 ), 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 'c_1',
% 1.23/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.23/1.61 'c_snd'( 'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_1', 'c_Numeral_Onumber__of'(
% 1.23/1.61 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ),
% 1.23/1.61 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.23/1.61 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.23/1.61 'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'(
% 1.23/1.61 Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'(
% 1.23/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.23/1.61 Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_snd'( 'c_IntDiv_OposDivAlg'(
% 1.23/1.61 'c_Pair'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.23/1.61 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.23/1.61 'tc_IntDef_Oint' ) ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.23/1.61 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.23/1.61 'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_0', 'c_plus'( 'c_1',
% 1.23/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.23/1.61 'tc_IntDef_Oint' ) ), =( 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_1',
% 1.23/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.23/1.61 'tc_IntDef_Oint' ) ), 'c_Pair'( 'c_Numeral_Onumber__of'( 'c_Numeral_OMin'
% 1.23/1.61 , 'tc_IntDef_Oint' ), 'c_plus'( 'c_1', 'c_Numeral_Onumber__of'( X,
% 1.23/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.23/1.61 'tc_IntDef_Oint' ) ) ],
% 1.23/1.61 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.23/1.61 'tc_IntDef_Oint' ) ), 'c_lessequals'( 'c_0', 'c_plus'( 'c_1',
% 1.23/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.23/1.61 'tc_IntDef_Oint' ), =( 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_1',
% 1.23/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.23/1.61 'tc_IntDef_Oint' ) ), 'c_IntDiv_Oadjust'( 'c_Numeral_Onumber__of'( X,
% 1.23/1.61 'tc_IntDef_Oint' ), 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_1', 'c_times'(
% 1.23/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.23/1.61 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.23/1.61 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.23/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ) ) ],
% 1.23/1.61 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.23/1.61 'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_0', 'c_plus'(
% 1.23/1.61 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.23/1.61 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =(
% 1.23/1.61 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_Numeral_Onumber__of'( Y,
% 1.23/1.61 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.23/1.61 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_Pair'( 'c_Numeral_Onumber__of'(
% 1.23/1.61 'c_Numeral_OMin', 'tc_IntDef_Oint' ), 'c_plus'( 'c_Numeral_Onumber__of'(
% 1.23/1.61 Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.23/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.23/1.61 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.23/1.61 'tc_IntDef_Oint' ) ), 'c_lessequals'( 'c_0', 'c_plus'(
% 1.23/1.61 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.23/1.61 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =(
% 1.23/1.61 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_Numeral_Onumber__of'( Y,
% 1.23/1.61 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.23/1.61 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_IntDiv_Oadjust'(
% 1.23/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_IntDiv_OnegDivAlg'(
% 1.23/1.61 'c_Pair'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_times'(
% 1.23/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.23/1.61 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.23/1.61 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.23/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ) ) ],
% 1.23/1.61 [ =( 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_Numeral_Onumber__of'(
% 1.23/1.61 'c_Numeral_OMin', 'tc_IntDef_Oint' ), X, 'tc_IntDef_Oint',
% 1.23/1.61 'tc_IntDef_Oint' ) ), 'c_Pair'( 'c_Numeral_Onumber__of'( 'c_Numeral_OMin'
% 1.23/1.61 , 'tc_IntDef_Oint' ), 'c_minus'( X, 'c_1', 'tc_IntDef_Oint' ),
% 1.23/1.61 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.23/1.61 [ ~( 'c_less'( X, 'c_0', 'tc_IntDef_Oint' ) ), 'c_less'( X,
% 1.23/1.61 'c_Divides_Oop_Amod'( Y, X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.23/1.61 [ ~( 'c_less'( X, 'c_0', 'tc_IntDef_Oint' ) ), 'c_lessequals'(
% 1.23/1.61 'c_Divides_Oop_Amod'( Y, X, 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' )
% 1.23/1.61 ],
% 1.23/1.61 [ =( 'c_IntDiv_OnegateSnd'( 'c_Pair'( X, Y, 'tc_IntDef_Oint',
% 1.23/1.61 'tc_IntDef_Oint' ) ), 'c_Pair'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ),
% 1.23/1.61 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.23/1.61 [ =( 'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_0', X, 'tc_IntDef_Oint',
% 1.23/1.61 'tc_IntDef_Oint' ) ), 'c_Pair'( 'c_0', 'c_0', 'tc_IntDef_Oint',
% 1.23/1.61 'tc_IntDef_Oint' ) ) ],
% 1.23/1.61 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.23/1.61 'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_1', 'c_Numeral_Onumber__of'( X,
% 1.23/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_IntDiv_OposDivAlg'(
% 1.23/1.61 'c_Pair'( 'c_1', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.23/1.61 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_Pair'( 'c_0', 'c_1',
% 1.23/1.61 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.23/1.61 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.23/1.61 'tc_IntDef_Oint' ) ), 'c_less'( 'c_1', 'c_Numeral_Onumber__of'( X,
% 1.23/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_IntDiv_OposDivAlg'(
% 1.23/1.61 'c_Pair'( 'c_1', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.23/1.61 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_IntDiv_Oadjust'(
% 1.23/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_IntDiv_OposDivAlg'(
% 1.23/1.61 'c_Pair'( 'c_1', 'c_times'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.23/1.61 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.23/1.61 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X,
% 1.23/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.23/1.61 'tc_IntDef_Oint' ) ) ) ) ],
% 1.23/1.61 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.23/1.61 'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Y,
% 1.23/1.61 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.23/1.61 'tc_IntDef_Oint' ) ), =( 'c_IntDiv_OposDivAlg'( 'c_Pair'(
% 1.23/1.61 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.23/1.61 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_Pair'(
% 1.23/1.61 'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.23/1.61 'tc_IntDef_Oint' ) ) ],
% 1.23/1.61 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.23/1.61 'tc_IntDef_Oint' ) ), 'c_less'( 'c_Numeral_Onumber__of'( Y,
% 1.23/1.61 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.23/1.61 'tc_IntDef_Oint' ), =( 'c_IntDiv_OposDivAlg'( 'c_Pair'(
% 1.23/1.61 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.23/1.61 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ),
% 1.23/1.61 'c_IntDiv_Oadjust'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.23/1.61 'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_Numeral_Onumber__of'( Y,
% 1.23/1.61 'tc_IntDef_Oint' ), 'c_times'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.23/1.61 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.23/1.61 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X,
% 1.23/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.23/1.61 'tc_IntDef_Oint' ) ) ) ) ],
% 1.23/1.61 [ ~( 'c_less'( 'c_0', X, 'tc_IntDef_Oint' ) ), 'c_less'(
% 1.23/1.61 'c_Divides_Oop_Amod'( Y, X, 'tc_IntDef_Oint' ), X, 'tc_IntDef_Oint' ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'c_less'( 'c_0', X, 'tc_IntDef_Oint' ) ), 'c_lessequals'( 'c_0',
% 1.23/1.61 'c_Divides_Oop_Amod'( Y, X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.23/1.61 [ =( 'c_Nat_Opower'( X, 'c_0', 'tc_IntDef_Oint' ), 'c_1' ) ],
% 1.23/1.61 [ =( 'c_Nat_Opower'( X, 'c_Suc'( Y ), 'tc_IntDef_Oint' ), 'c_times'( X,
% 1.23/1.61 'c_Nat_Opower'( X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ],
% 1.23/1.61 [ =( 'c_div'( X, 'c_1', 'tc_IntDef_Oint' ), X ) ],
% 1.23/1.61 [ =( 'c_div'( X, 'c_Numeral_Onumber__of'( 'c_Numeral_OMin',
% 1.23/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_uminus'( X, 'tc_IntDef_Oint' )
% 1.23/1.61 ) ],
% 1.23/1.61 [ =( 'c_div'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( X,
% 1.23/1.61 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.23/1.61 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ),
% 1.23/1.61 'tc_IntDef_Oint' ), 'c_div'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.23/1.61 ), 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) )
% 1.23/1.61 ],
% 1.23/1.61 [ ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.23/1.61 ), 'tc_IntDef_Oint' ) ), =( 'c_div'( 'c_Numeral_Onumber__of'(
% 1.23/1.61 'c_Numeral_OBit'( Y, Z ), 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.23/1.61 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ),
% 1.23/1.61 'tc_IntDef_Oint' ), 'c_div'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint'
% 1.23/1.61 ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) )
% 1.23/1.61 ],
% 1.23/1.61 [ 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.23/1.61 , 'tc_IntDef_Oint' ), =( Y, 'c_Numeral_Obit_OB0' ), =( 'c_div'(
% 1.23/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Z, Y ), 'tc_IntDef_Oint' ),
% 1.23/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' ),
% 1.23/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_div'( 'c_plus'(
% 1.23/1.61 'c_Numeral_Onumber__of'( Z, 'tc_IntDef_Oint' ), 'c_1', 'tc_IntDef_Oint' )
% 1.23/1.61 , 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ =( X, 'c_0' ), =( 'c_div'( X, X, 'tc_IntDef_Oint' ), 'c_1' ) ],
% 1.23/1.61 [ =( X, 'c_0' ), =( 'c_div'( 'c_plus'( X, Y, 'tc_IntDef_Oint' ), X,
% 1.23/1.61 'tc_IntDef_Oint' ), 'c_plus'( 'c_div'( Y, X, 'tc_IntDef_Oint' ), 'c_1',
% 1.23/1.61 'tc_IntDef_Oint' ) ) ],
% 1.23/1.61 [ =( X, 'c_0' ), =( 'c_div'( 'c_plus'( Y, X, 'tc_IntDef_Oint' ), X,
% 1.23/1.61 'tc_IntDef_Oint' ), 'c_plus'( 'c_div'( Y, X, 'tc_IntDef_Oint' ), 'c_1',
% 1.23/1.61 'tc_IntDef_Oint' ) ) ],
% 1.23/1.61 [ =( 'c_div'( 'c_0', X, 'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.23/1.61 [ =( 'c_div'( 'c_uminus'( X, 'tc_IntDef_Oint' ), 'c_uminus'( Y,
% 1.23/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_div'( X, Y, 'tc_IntDef_Oint' )
% 1.23/1.61 ) ],
% 1.23/1.61 [ =( X, 'c_0' ), =( 'c_div'( 'c_times'( Y, X, 'tc_IntDef_Oint' ), X,
% 1.23/1.61 'tc_IntDef_Oint' ), Y ) ],
% 1.23/1.61 [ =( X, 'c_0' ), =( 'c_div'( 'c_times'( X, Y, 'tc_IntDef_Oint' ), X,
% 1.23/1.61 'tc_IntDef_Oint' ), Y ) ],
% 1.23/1.61 [ ~( 'c_Divides_Oop_Advd'( 'c_0', X, 'tc_IntDef_Oint' ) ), =( X, 'c_0' )
% 1.23/1.61 ],
% 1.23/1.61 [ 'c_Divides_Oop_Advd'( 'c_0', 'c_0', 'tc_IntDef_Oint' ) ],
% 1.23/1.61 [ ~( 'c_Divides_Oop_Advd'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.23/1.61 ), 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) )
% 1.23/1.61 , =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' )
% 1.23/1.61 , 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.23/1.61 'c_0' ) ],
% 1.23/1.61 [ ~( =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X,
% 1.23/1.61 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.23/1.61 'tc_IntDef_Oint' ), 'c_0' ) ), 'c_Divides_Oop_Advd'(
% 1.23/1.61 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.23/1.61 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.23/1.61 [ 'c_Divides_Oop_Advd'( X, X, 'tc_IntDef_Oint' ) ],
% 1.23/1.61 [ 'c_lessequals'( 'c_0', 'c_Nat_Opower'( 'c_HOL_Oabs'( X,
% 1.23/1.61 'tc_IntDef_Oint' ), Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.23/1.61 [ ~( 'c_less'( 'c_0', 'c_Nat_Opower'( 'c_HOL_Oabs'( 'c_0',
% 1.23/1.61 'tc_IntDef_Oint' ), X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( X,
% 1.23/1.61 'c_0' ) ],
% 1.23/1.61 [ 'c_less'( 'c_0', 'c_Nat_Opower'( 'c_HOL_Oabs'( X, 'tc_IntDef_Oint' ),
% 1.23/1.61 Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( X, 'c_0' ) ],
% 1.23/1.61 [ 'c_less'( 'c_0', 'c_Nat_Opower'( 'c_HOL_Oabs'( X, 'tc_IntDef_Oint' ),
% 1.23/1.61 'c_0', 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.23/1.61 [ ~( 'c_Divides_Oop_Advd'( 'c_uminus'( X, 'tc_IntDef_Oint' ), Y,
% 1.23/1.61 'tc_IntDef_Oint' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ),
% 1.23/1.61 'c_Divides_Oop_Advd'( 'c_uminus'( X, 'tc_IntDef_Oint' ), Y,
% 1.23/1.61 'tc_IntDef_Oint' ) ],
% 1.23/1.61 [ =( 'c_Divides_Oop_Amod'( X, 'c_1', 'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.23/1.61 [ =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'( 'c_Numeral_OMin'
% 1.23/1.61 , 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.23/1.61 [ =( 'c_Divides_Oop_Amod'( X, X, 'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.23/1.61 [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, Y, 'tc_IntDef_Oint' ), X,
% 1.23/1.61 'tc_IntDef_Oint' ), 'c_Divides_Oop_Amod'( Y, X, 'tc_IntDef_Oint' ) ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, Y, 'tc_IntDef_Oint' ), Y,
% 1.23/1.61 'tc_IntDef_Oint' ), 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' ) ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ =( 'c_Divides_Oop_Amod'( 'c_0', X, 'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.23/1.61 [ =( 'c_Divides_Oop_Amod'( 'c_uminus'( X, 'tc_IntDef_Oint' ), 'c_uminus'(
% 1.23/1.61 Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_uminus'(
% 1.23/1.61 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ =( 'c_Divides_Oop_Amod'( 'c_times'( X, Y, 'tc_IntDef_Oint' ), Y,
% 1.23/1.61 'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.23/1.61 [ =( 'c_Divides_Oop_Amod'( 'c_times'( X, Y, 'tc_IntDef_Oint' ), X,
% 1.23/1.61 'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.23/1.61 [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ), =( 'c_LOrder_Ojoin'( Y, Y
% 1.23/1.61 , X ), Y ) ],
% 1.23/1.61 [ ~( 'class_LOrder_Omeet__semilorder'( X ) ), =( 'c_LOrder_Omeet'( Y, Y
% 1.23/1.61 , X ), Y ) ],
% 1.23/1.61 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.23/1.61 'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.23/1.61 ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.23/1.61 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( X, T, Z, Z ), W, 'tc_prod'(
% 1.23/1.61 Z, Z ) ), =( X, T ) ],
% 1.23/1.61 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.23/1.61 'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.23/1.61 ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.23/1.61 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( X, T, Z, Z ), W, 'tc_prod'(
% 1.23/1.61 Z, Z ) ), 'c_in'( 'c_Pair'( Y, U, 'tc_List_Olist'( Z ), 'tc_List_Olist'(
% 1.23/1.61 Z ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.23/1.61 'tc_List_Olist'( Z ) ) ) ],
% 1.23/1.61 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.23/1.61 'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.23/1.61 ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.23/1.61 'tc_List_Olist'( Z ) ) ) ), =( X, T ), =( 'c_Nat_Osize'( Y,
% 1.23/1.61 'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( U, 'tc_List_Olist'( Z ) ) ) ],
% 1.23/1.61 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.23/1.61 'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.23/1.61 ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.23/1.61 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( Y, U, 'tc_List_Olist'( Z )
% 1.23/1.61 , 'tc_List_Olist'( Z ) ), 'c_List_Olex'( W, Z ), 'tc_prod'(
% 1.23/1.61 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ), =( 'c_Nat_Osize'( Y,
% 1.23/1.61 'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( U, 'tc_List_Olist'( Z ) ) ) ],
% 1.23/1.61 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( =(
% 1.23/1.61 'c_Nat_Osize'( U, 'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( W,
% 1.23/1.61 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, U
% 1.23/1.61 , Z ), 'c_List_Olist_OCons'( Y, W, Z ), 'tc_List_Olist'( Z ),
% 1.23/1.61 'tc_List_Olist'( Z ) ), 'c_List_Olex'( T, Z ), 'tc_prod'( 'tc_List_Olist'(
% 1.23/1.61 Z ), 'tc_List_Olist'( Z ) ) ) ],
% 1.23/1.61 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z )
% 1.23/1.61 ), 'c_List_Olex'( T, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.23/1.61 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( U, X
% 1.23/1.61 , Z ), 'c_List_Olist_OCons'( U, Y, Z ), 'tc_List_Olist'( Z ),
% 1.23/1.61 'tc_List_Olist'( Z ) ), 'c_List_Olex'( T, Z ), 'tc_prod'( 'tc_List_Olist'(
% 1.23/1.61 Z ), 'tc_List_Olist'( Z ) ) ) ],
% 1.23/1.61 [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil', 'tc_List_Olist'( Y ),
% 1.23/1.61 'tc_List_Olist'( Y ) ), 'c_List_Olex'( Z, Y ), 'tc_prod'( 'tc_List_Olist'(
% 1.23/1.61 Y ), 'tc_List_Olist'( Y ) ) ) ) ],
% 1.23/1.61 [ ~( 'c_in'( X, 'c_List_Oset'( Y, 'tc_List_Olist'( Z ) ),
% 1.23/1.61 'tc_List_Olist'( Z ) ) ), ~( =( 'c_List_Olist_ONil', 'c_List_Oconcat'( Y
% 1.23/1.61 , Z ) ) ), =( X, 'c_List_Olist_ONil' ) ],
% 1.23/1.61 [ 'c_in'( 'c_Main_ONil__eq__concat__conv__1'( X, Y ), 'c_List_Oset'( X,
% 1.23/1.61 'tc_List_Olist'( Y ) ), 'tc_List_Olist'( Y ) ), =( 'c_List_Olist_ONil',
% 1.23/1.61 'c_List_Oconcat'( X, Y ) ) ],
% 1.23/1.61 [ ~( =( 'c_Main_ONil__eq__concat__conv__1'( X, Y ), 'c_List_Olist_ONil'
% 1.23/1.61 ) ), =( 'c_List_Olist_ONil', 'c_List_Oconcat'( X, Y ) ) ],
% 1.23/1.61 [ ~( =( 'c_List_Olist_ONil', 'c_append'( X, Y, Z ) ) ), =( X,
% 1.23/1.61 'c_List_Olist_ONil' ) ],
% 1.23/1.61 [ ~( =( 'c_List_Olist_ONil', 'c_append'( X, Y, Z ) ) ), =( Y,
% 1.23/1.61 'c_List_Olist_ONil' ) ],
% 1.23/1.61 [ =( 'c_List_Olist_ONil', 'c_append'( 'c_List_Olist_ONil',
% 1.23/1.61 'c_List_Olist_ONil', X ) ) ],
% 1.23/1.61 [ ~( =( 'c_List_Olist_ONil', 'c_List_Orev'( X, Y ) ) ), =( X,
% 1.23/1.61 'c_List_Olist_ONil' ) ],
% 1.23/1.61 [ =( 'c_List_Olist_ONil', 'c_List_Orev'( 'c_List_Olist_ONil', X ) ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X, 'tc_List_Olist'( Y ),
% 1.23/1.61 'tc_List_Olist'( Y ) ), 'c_List_Olex'( Z, Y ), 'tc_prod'( 'tc_List_Olist'(
% 1.23/1.61 Y ), 'tc_List_Olist'( Y ) ) ) ) ],
% 1.23/1.61 [ ~( =( 'c_append'( X, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z )
% 1.23/1.61 , Z ), 'c_append'( T, 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil', Z ),
% 1.23/1.61 Z ) ) ), =( X, T ) ],
% 1.23/1.61 [ ~( =( 'c_append'( X, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z )
% 1.23/1.61 , Z ), 'c_append'( T, 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil', Z ),
% 1.23/1.61 Z ) ) ), =( Y, U ) ],
% 1.23/1.61 [ =( 'c_append'( 'c_append'( X, Y, Z ), T, Z ), 'c_append'( X,
% 1.23/1.61 'c_append'( Y, T, Z ), Z ) ) ],
% 1.23/1.61 [ =( X, 'c_List_Olist_ONil' ), =( 'c_append'( 'c_List_Obutlast'( X, Y )
% 1.23/1.61 , 'c_List_Olist_OCons'( 'c_List_Olast'( X, Y ), 'c_List_Olist_ONil', Y )
% 1.23/1.61 , Y ), X ) ],
% 1.23/1.61 [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( Z,
% 1.23/1.61 'tc_List_Olist'( Y ) ) ) ), ~( =( 'c_append'( X, T, Y ), 'c_append'( Z, U
% 1.23/1.61 , Y ) ) ), =( X, Z ) ],
% 1.23/1.61 [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( Z,
% 1.23/1.61 'tc_List_Olist'( Y ) ) ) ), ~( =( 'c_append'( X, T, Y ), 'c_append'( Z, U
% 1.23/1.61 , Y ) ) ), =( T, U ) ],
% 1.23/1.61 [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( Z,
% 1.23/1.61 'tc_List_Olist'( Y ) ) ) ), ~( =( 'c_append'( T, X, Y ), 'c_append'( U, Z
% 1.23/1.61 , Y ) ) ), =( T, U ) ],
% 1.23/1.61 [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( Z,
% 1.23/1.61 'tc_List_Olist'( Y ) ) ) ), ~( =( 'c_append'( T, X, Y ), 'c_append'( U, Z
% 1.23/1.61 , Y ) ) ), =( X, Z ) ],
% 1.23/1.61 [ ~( 'c_in'( 'c_append'( X, Y, Z ), 'c_List_Olists'( T, Z ),
% 1.23/1.61 'tc_List_Olist'( Z ) ) ), 'c_in'( X, 'c_List_Olists'( T, Z ),
% 1.23/1.61 'tc_List_Olist'( Z ) ) ],
% 1.23/1.61 [ ~( 'c_in'( 'c_append'( X, Y, Z ), 'c_List_Olists'( T, Z ),
% 1.23/1.61 'tc_List_Olist'( Z ) ) ), 'c_in'( Y, 'c_List_Olists'( T, Z ),
% 1.23/1.61 'tc_List_Olist'( Z ) ) ],
% 1.23/1.61 [ ~( 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ), ~(
% 1.23/1.61 'c_in'( T, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ), 'c_in'(
% 1.23/1.61 'c_append'( T, X, Z ), 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( =( 'c_append'( X, Y, Z ), 'c_List_Olist_ONil' ) ), =( X,
% 1.23/1.61 'c_List_Olist_ONil' ) ],
% 1.23/1.61 [ ~( =( 'c_append'( X, Y, Z ), 'c_List_Olist_ONil' ) ), =( Y,
% 1.23/1.61 'c_List_Olist_ONil' ) ],
% 1.23/1.61 [ =( 'c_append'( 'c_List_Olist_ONil', 'c_List_Olist_ONil', X ),
% 1.23/1.61 'c_List_Olist_ONil' ) ],
% 1.23/1.61 [ ~( =( 'c_append'( X, Y, Z ), 'c_append'( T, Y, Z ) ) ), =( X, T ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( =( 'c_append'( X, Y, Z ), Y ) ), =( X, 'c_List_Olist_ONil' ) ],
% 1.23/1.61 [ =( 'c_append'( 'c_List_Olist_ONil', X, Y ), X ) ],
% 1.23/1.61 [ ~( =( 'c_append'( X, Y, Z ), X ) ), =( Y, 'c_List_Olist_ONil' ) ],
% 1.23/1.61 [ =( 'c_append'( X, 'c_List_Olist_ONil', Y ), X ) ],
% 1.23/1.61 [ =( 'c_append'( 'c_List_Otake'( X, Y, Z ), 'c_List_Odrop'( X, Y, Z ), Z
% 1.23/1.61 ), Y ) ],
% 1.23/1.61 [ =( 'c_List_Obutlast'( 'c_List_Olist_ONil', X ), 'c_List_Olist_ONil' )
% 1.23/1.61 ],
% 1.23/1.61 [ =( 'c_List_Obutlast'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y
% 1.23/1.61 ), Y ), 'c_List_Olist_ONil' ) ],
% 1.23/1.61 [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Obutlast'(
% 1.23/1.61 'c_List_Olist_OCons'( Y, X, Z ), Z ), 'c_List_Olist_OCons'( Y,
% 1.23/1.61 'c_List_Obutlast'( X, Z ), Z ) ) ],
% 1.23/1.61 [ =( 'c_List_Obutlast'( 'c_append'( X, 'c_List_Olist_OCons'( Y,
% 1.23/1.61 'c_List_Olist_ONil', Z ), Z ), Z ), X ) ],
% 1.23/1.61 [ ~( =( 'c_List_Ochar_OChar'( X, Y ), 'c_List_Ochar_OChar'( Z, T ) ) ),
% 1.23/1.61 =( X, Z ) ],
% 1.23/1.61 [ ~( =( 'c_List_Ochar_OChar'( X, Y ), 'c_List_Ochar_OChar'( Z, T ) ) ),
% 1.23/1.61 =( Y, T ) ],
% 1.23/1.61 [ =( 'c_Nat_Osize'( 'c_List_Ochar_OChar'( X, Y ), 'tc_List_Ochar' ),
% 1.23/1.61 'c_0' ) ],
% 1.23/1.61 [ =( 'c_List_Oconcat'( 'c_List_Olist_ONil', X ), 'c_List_Olist_ONil' ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ =( 'c_List_Oconcat'( 'c_List_Olist_OCons'( X, Y, 'tc_List_Olist'( Z )
% 1.23/1.61 ), Z ), 'c_append'( X, 'c_List_Oconcat'( Y, Z ), Z ) ) ],
% 1.23/1.61 [ =( 'c_List_Oconcat'( 'c_append'( X, Y, 'tc_List_Olist'( Z ) ), Z ),
% 1.23/1.61 'c_append'( 'c_List_Oconcat'( X, Z ), 'c_List_Oconcat'( Y, Z ), Z ) ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'c_in'( X, 'c_List_Oset'( Y, 'tc_List_Olist'( Z ) ),
% 1.23/1.61 'tc_List_Olist'( Z ) ) ), ~( =( 'c_List_Oconcat'( Y, Z ),
% 1.23/1.61 'c_List_Olist_ONil' ) ), =( X, 'c_List_Olist_ONil' ) ],
% 1.23/1.61 [ 'c_in'( 'c_Main_Oconcat__eq__Nil__conv__1'( X, Y ), 'c_List_Oset'( X,
% 1.23/1.61 'tc_List_Olist'( Y ) ), 'tc_List_Olist'( Y ) ), =( 'c_List_Oconcat'( X, Y
% 1.23/1.61 ), 'c_List_Olist_ONil' ) ],
% 1.23/1.61 [ ~( =( 'c_Main_Oconcat__eq__Nil__conv__1'( X, Y ), 'c_List_Olist_ONil'
% 1.23/1.61 ) ), =( 'c_List_Oconcat'( X, Y ), 'c_List_Olist_ONil' ) ],
% 1.23/1.61 [ ~( 'c_List_Odistinct'( 'c_List_Orotate1'( X, Y ), Y ) ),
% 1.23/1.61 'c_List_Odistinct'( X, Y ) ],
% 1.23/1.61 [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 'c_List_Orotate1'(
% 1.23/1.61 X, Y ), Y ) ],
% 1.23/1.61 [ 'c_List_Odistinct'( 'c_List_Olist_ONil', X ) ],
% 1.23/1.61 [ ~( 'c_List_Odistinct'( 'c_List_Olist_OCons'( X, Y, Z ), Z ) ), ~(
% 1.23/1.61 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ) ) ],
% 1.23/1.61 [ ~( 'c_List_Odistinct'( 'c_List_Olist_OCons'( X, Y, Z ), Z ) ),
% 1.23/1.61 'c_List_Odistinct'( Y, Z ) ],
% 1.23/1.61 [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'(
% 1.23/1.61 'c_List_Olist_OCons'( Z, X, Y ), Y ), 'c_in'( Z, 'c_List_Oset'( X, Y ), Y
% 1.23/1.61 ) ],
% 1.23/1.61 [ ~( 'c_List_Odistinct'( 'c_append'( X, Y, Z ), Z ) ),
% 1.23/1.61 'c_List_Odistinct'( X, Z ) ],
% 1.23/1.61 [ ~( 'c_List_Odistinct'( 'c_append'( X, Y, Z ), Z ) ),
% 1.23/1.61 'c_List_Odistinct'( Y, Z ) ],
% 1.23/1.61 [ ~( 'c_List_Odistinct'( 'c_append'( X, Y, Z ), Z ) ), =( 'c_inter'(
% 1.23/1.61 'c_List_Oset'( X, Z ), 'c_List_Oset'( Y, Z ), Z ), 'c_emptyset' ) ],
% 1.23/1.61 [ ~( 'c_List_Odistinct'( X, Y ) ), ~( 'c_List_Odistinct'( Z, Y ) ), ~(
% 1.23/1.61 =( 'c_inter'( 'c_List_Oset'( Z, Y ), 'c_List_Oset'( X, Y ), Y ),
% 1.23/1.61 'c_emptyset' ) ), 'c_List_Odistinct'( 'c_append'( Z, X, Y ), Y ) ],
% 1.23/1.61 [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 'c_List_Odrop'( Z
% 1.23/1.61 , X, Y ), Y ) ],
% 1.23/1.61 [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 'c_List_Oremove1'(
% 1.23/1.61 Z, X, Y ), Y ) ],
% 1.23/1.61 [ ~( 'c_List_Odistinct'( 'c_List_Orev'( X, Y ), Y ) ),
% 1.23/1.61 'c_List_Odistinct'( X, Y ) ],
% 1.23/1.61 [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 'c_List_Orev'( X
% 1.23/1.61 , Y ), Y ) ],
% 1.23/1.61 [ ~( 'c_List_Odistinct'( 'c_List_Orotate'( X, Y, Z ), Z ) ),
% 1.23/1.61 'c_List_Odistinct'( Y, Z ) ],
% 1.23/1.61 [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 'c_List_Orotate'(
% 1.23/1.61 Z, X, Y ), Y ) ],
% 1.23/1.61 [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 'c_List_Osublist'(
% 1.23/1.61 X, Z, Y ), Y ) ],
% 1.23/1.61 [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 'c_List_Otake'( Z
% 1.23/1.61 , X, Y ), Y ) ],
% 1.23/1.61 [ 'c_List_Odistinct'( 'c_List_Oupt'( X, Y ), 'tc_nat' ) ],
% 1.23/1.61 [ =( 'c_List_Odrop'( X, 'c_List_Olist_ONil', Y ), 'c_List_Olist_ONil' )
% 1.23/1.61 ],
% 1.23/1.61 [ =( 'c_List_Odrop'( 'c_0', X, Y ), X ) ],
% 1.23/1.61 [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ), =(
% 1.23/1.61 'c_List_Odrop'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.23/1.61 'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_List_Olist_OCons'( Y, Z, T ) ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ =( 'c_List_Odrop'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.23/1.61 'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_List_Odrop'( 'c_minus'(
% 1.23/1.62 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_1', 'tc_nat' ), Z, T ) ), =(
% 1.23/1.62 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ],
% 1.23/1.62 [ =( 'c_List_Odrop'( 'c_Suc'( X ), 'c_List_Olist_OCons'( Y, Z, T ), T )
% 1.23/1.62 , 'c_List_Odrop'( X, Z, T ) ) ],
% 1.23/1.62 [ =( 'c_List_Odrop'( X, 'c_append'( Y, Z, T ), T ), 'c_append'(
% 1.23/1.62 'c_List_Odrop'( X, Y, T ), 'c_List_Odrop'( 'c_minus'( X, 'c_Nat_Osize'( Y
% 1.23/1.62 , 'tc_List_Olist'( T ) ), 'tc_nat' ), Z, T ), T ) ) ],
% 1.23/1.62 [ =( 'c_List_Odrop'( X, 'c_List_Odrop'( Y, Z, T ), T ), 'c_List_Odrop'(
% 1.23/1.62 'c_plus'( X, Y, 'tc_nat' ), Z, T ) ) ],
% 1.23/1.62 [ ~( =( 'c_List_Odrop'( X, Y, Z ), 'c_List_Olist_ONil' ) ),
% 1.23/1.62 'c_lessequals'( 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), X, 'tc_nat' ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( 'c_lessequals'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), Z,
% 1.23/1.62 'tc_nat' ) ), =( 'c_List_Odrop'( Z, X, Y ), 'c_List_Olist_ONil' ) ],
% 1.23/1.62 [ =( 'c_List_Odrop'( X, 'c_List_Oreplicate'( Y, Z, T ), T ),
% 1.23/1.62 'c_List_Oreplicate'( 'c_minus'( Y, X, 'tc_nat' ), Z, T ) ) ],
% 1.23/1.62 [ =( 'c_List_Odrop'( X, 'c_List_Oupt'( Y, Z ), 'tc_nat' ), 'c_List_Oupt'(
% 1.23/1.62 'c_plus'( Y, X, 'tc_nat' ), Z ) ) ],
% 1.23/1.62 [ =( 'c_List_Ohd'( 'c_List_Olist_OCons'( X, Y, Z ), Z ), X ) ],
% 1.23/1.62 [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Olist_OCons'( 'c_List_Ohd'( X
% 1.23/1.62 , Y ), 'c_List_Otl'( X, Y ), Y ), X ) ],
% 1.23/1.62 [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Ohd'( 'c_append'( X, Y, Z ), Z
% 1.23/1.62 ), 'c_List_Ohd'( X, Z ) ) ],
% 1.23/1.62 [ 'c_in'( 'c_List_Ohd'( X, Y ), 'c_List_Oset'( X, Y ), Y ), =( X,
% 1.23/1.62 'c_List_Olist_ONil' ) ],
% 1.23/1.62 [ =( X, 'c_0' ), =( 'c_List_Ohd'( 'c_List_Oreplicate'( X, Y, Z ), Z ), Y
% 1.23/1.62 ) ],
% 1.23/1.62 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_List_Ohd'( 'c_List_Oupt'( X, Y
% 1.23/1.62 ), 'tc_nat' ), X ) ],
% 1.23/1.62 [ =( 'c_List_Oitrev'( X, Y, Z ), 'c_append'( 'c_List_Orev'( X, Z ), Y, Z
% 1.23/1.62 ) ) ],
% 1.23/1.62 [ =( 'c_List_Oitrev'( 'c_List_Olist_ONil', X, Y ), X ) ],
% 1.23/1.62 [ =( 'c_List_Oitrev'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ),
% 1.23/1.62 'c_List_Oitrev'( Y, 'c_List_Olist_OCons'( X, T, Z ), Z ) ) ],
% 1.23/1.62 [ =( 'c_List_Olast'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ),
% 1.23/1.62 Y ), X ) ],
% 1.23/1.62 [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Olast'( 'c_List_Olist_OCons'(
% 1.23/1.62 Y, X, Z ), Z ), 'c_List_Olast'( X, Z ) ) ],
% 1.23/1.62 [ =( 'c_List_Olast'( 'c_append'( X, 'c_List_Olist_ONil', Y ), Y ),
% 1.23/1.62 'c_List_Olast'( X, Y ) ) ],
% 1.23/1.62 [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Olast'( 'c_append'( Y, X, Z )
% 1.23/1.62 , Z ), 'c_List_Olast'( X, Z ) ) ],
% 1.23/1.62 [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) )
% 1.23/1.62 , =( 'c_List_Olast'( 'c_List_Odrop'( X, Y, Z ), Z ), 'c_List_Olast'( Y, Z
% 1.23/1.62 ) ) ],
% 1.23/1.62 [ 'c_in'( 'c_List_Olast'( X, Y ), 'c_List_Oset'( X, Y ), Y ), =( X,
% 1.23/1.62 'c_List_Olist_ONil' ) ],
% 1.23/1.62 [ =( X, 'c_0' ), =( 'c_List_Olast'( 'c_List_Oreplicate'( X, Y, Z ), Z )
% 1.23/1.62 , Y ) ],
% 1.23/1.62 [ =( 'c_List_Olast'( 'c_append'( X, 'c_List_Olist_OCons'( Y,
% 1.23/1.62 'c_List_Olist_ONil', Z ), Z ), Z ), Y ) ],
% 1.23/1.62 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_List_Olast'( 'c_List_Oupt'( X,
% 1.23/1.62 Y ), 'tc_nat' ), 'c_minus'( Y, 'c_1', 'tc_nat' ) ) ],
% 1.23/1.62 [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_0' ) ), =( X,
% 1.23/1.62 'c_List_Olist_ONil' ) ],
% 1.23/1.62 [ =( 'c_Nat_Osize'( 'c_List_Olist_ONil', 'tc_List_Olist'( X ) ), 'c_0' )
% 1.23/1.62 ],
% 1.23/1.62 [ =( 'c_Nat_Osize'( 'c_append'( X, Y, Z ), 'tc_List_Olist'( Z ) ),
% 1.23/1.62 'c_plus'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( Y,
% 1.23/1.62 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ],
% 1.23/1.62 [ =( 'c_Nat_Osize'( 'c_List_Obutlast'( X, Y ), 'tc_List_Olist'( Y ) ),
% 1.23/1.62 'c_minus'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_1', 'tc_nat' ) )
% 1.23/1.62 ],
% 1.23/1.62 [ =( 'c_Nat_Osize'( 'c_List_Odrop'( X, Y, Z ), 'tc_List_Olist'( Z ) ),
% 1.23/1.62 'c_minus'( 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), X, 'tc_nat' ) ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( 'c_less'( 'c_0', 'c_Nat_Osize'( 'c_List_Olist_ONil',
% 1.23/1.62 'tc_List_Olist'( X ) ), 'tc_nat' ) ) ],
% 1.23/1.62 [ 'c_less'( 'c_0', 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'tc_nat' )
% 1.23/1.62 , =( X, 'c_List_Olist_ONil' ) ],
% 1.23/1.62 [ =( 'c_Nat_Osize'( 'c_List_Olist__update'( X, Y, Z, T ),
% 1.23/1.62 'tc_List_Olist'( T ) ), 'c_Nat_Osize'( X, 'tc_List_Olist'( T ) ) ) ],
% 1.23/1.62 [ ~( =( 'c_Nat_Osize'( 'c_List_Oremdups'( X, Y ), 'tc_List_Olist'( Y ) )
% 1.23/1.62 , 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ) ) ), =( 'c_List_Oremdups'( X,
% 1.23/1.62 Y ), X ) ],
% 1.23/1.62 [ ~( =( 'c_List_Oremdups'( X, Y ), X ) ), =( 'c_Nat_Osize'(
% 1.23/1.62 'c_List_Oremdups'( X, Y ), 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X,
% 1.23/1.62 'tc_List_Olist'( Y ) ) ) ],
% 1.23/1.62 [ =( 'c_Nat_Osize'( 'c_List_Oreplicate'( X, Y, Z ), 'tc_List_Olist'( Z )
% 1.23/1.62 ), X ) ],
% 1.23/1.62 [ =( 'c_Nat_Osize'( 'c_List_Orev'( X, Y ), 'tc_List_Olist'( Y ) ),
% 1.23/1.62 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ) ) ],
% 1.23/1.62 [ =( 'c_Nat_Osize'( 'c_List_Orotate1'( X, Y ), 'tc_List_Olist'( Y ) ),
% 1.23/1.62 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ) ) ],
% 1.23/1.62 [ =( 'c_Nat_Osize'( 'c_List_Orotate'( X, Y, Z ), 'tc_List_Olist'( Z ) )
% 1.23/1.62 , 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ) ) ],
% 1.23/1.62 [ =( 'c_Nat_Osize'( 'c_List_Otake'( X, Y, Z ), 'tc_List_Olist'( Z ) ),
% 1.23/1.62 'c_Orderings_Omin'( 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), X, 'tc_nat'
% 1.23/1.62 ) ) ],
% 1.23/1.62 [ =( 'c_Nat_Osize'( 'c_List_Otl'( X, Y ), 'tc_List_Olist'( Y ) ),
% 1.23/1.62 'c_minus'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_1', 'tc_nat' ) )
% 1.23/1.62 ],
% 1.23/1.62 [ =( 'c_Nat_Osize'( 'c_List_Oupt'( X, Y ), 'tc_List_Olist'( 'tc_nat' ) )
% 1.23/1.62 , 'c_minus'( Y, X, 'tc_nat' ) ) ],
% 1.23/1.62 [ =( 'c_Nat_Osize'( 'c_List_Ozip'( X, Y, Z, T ), 'tc_List_Olist'(
% 1.23/1.62 'tc_prod'( Z, T ) ) ), 'c_Orderings_Omin'( 'c_Nat_Osize'( X,
% 1.23/1.62 'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( Y, 'tc_List_Olist'( T ) ),
% 1.23/1.62 'tc_nat' ) ) ],
% 1.23/1.62 [ =( 'c_List_Olexn'( X, 'c_0', Y ), 'c_emptyset' ) ],
% 1.23/1.62 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X, 'tc_List_Olist'( Y ),
% 1.23/1.62 'tc_List_Olist'( Y ) ), 'c_List_Olexord'( Z, Y ), 'tc_prod'(
% 1.23/1.62 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X,
% 1.23/1.62 'c_List_Olist_OCons'( 'c_Main_Olexord__Nil__left__1'( X, Y ),
% 1.23/1.62 'c_Main_Olexord__Nil__left__2'( X, Y ), Y ) ) ],
% 1.23/1.62 [ 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', 'c_List_Olist_OCons'( X, Y, Z )
% 1.23/1.62 , 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olexord'( T, Z )
% 1.23/1.62 , 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ],
% 1.23/1.62 [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil', 'tc_List_Olist'( Y ),
% 1.23/1.62 'tc_List_Olist'( Y ) ), 'c_List_Olexord'( Z, Y ), 'tc_prod'(
% 1.23/1.62 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ) ],
% 1.23/1.62 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.23/1.62 'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.23/1.62 ) ), 'c_List_Olexord'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.23/1.62 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( X, T, Z, Z ), W, 'tc_prod'(
% 1.23/1.62 Z, Z ) ), =( X, T ) ],
% 1.23/1.62 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.23/1.62 'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.23/1.62 ) ), 'c_List_Olexord'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.23/1.62 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( X, T, Z, Z ), W, 'tc_prod'(
% 1.23/1.62 Z, Z ) ), 'c_in'( 'c_Pair'( Y, U, 'tc_List_Olist'( Z ), 'tc_List_Olist'(
% 1.23/1.62 Z ) ), 'c_List_Olexord'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.23/1.62 'tc_List_Olist'( Z ) ) ) ],
% 1.23/1.62 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), 'c_in'(
% 1.23/1.62 'c_Pair'( 'c_List_Olist_OCons'( X, U, Z ), 'c_List_Olist_OCons'( Y, W, Z
% 1.23/1.62 ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olexord'( T, Z
% 1.23/1.62 ), 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ],
% 1.23/1.62 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z )
% 1.23/1.62 ), 'c_List_Olexord'( T, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.23/1.62 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( U, X
% 1.23/1.62 , Z ), 'c_List_Olist_OCons'( U, Y, Z ), 'tc_List_Olist'( Z ),
% 1.23/1.62 'tc_List_Olist'( Z ) ), 'c_List_Olexord'( T, Z ), 'tc_prod'(
% 1.23/1.62 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ],
% 1.23/1.62 [ ~( =( 'c_List_Olist_ONil', 'c_List_Olist_OCons'( X, Y, Z ) ) ) ],
% 1.23/1.62 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil' ) ) ],
% 1.23/1.62 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 1.23/1.62 ) ), =( X, T ) ],
% 1.23/1.62 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 1.23/1.62 ) ), =( Y, U ) ],
% 1.23/1.62 [ =( 'c_Nat_Osize'( 'c_List_Olist_OCons'( X, Y, Z ), 'tc_List_Olist'( Z
% 1.23/1.62 ) ), 'c_plus'( 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'c_Suc'( 'c_0'
% 1.23/1.62 ), 'tc_nat' ) ) ],
% 1.23/1.62 [ =( 'c_List_Olist__inter'( 'c_List_Olist_ONil', X, Y ),
% 1.23/1.62 'c_List_Olist_ONil' ) ],
% 1.23/1.62 [ ~( 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ) ), =( 'c_List_Olist__inter'(
% 1.23/1.62 'c_List_Olist_OCons'( X, T, Z ), Y, Z ), 'c_List_Olist_OCons'( X,
% 1.23/1.62 'c_List_Olist__inter'( T, Y, Z ), Z ) ) ],
% 1.23/1.62 [ 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ), =( 'c_List_Olist__inter'(
% 1.23/1.62 'c_List_Olist_OCons'( X, T, Z ), Y, Z ), 'c_List_Olist__inter'( T, Y, Z )
% 1.23/1.62 ) ],
% 1.23/1.62 [ =( 'c_List_Olist__update'( 'c_List_Olist_ONil', X, Y, Z ),
% 1.23/1.62 'c_List_Olist_ONil' ) ],
% 1.23/1.62 [ ~( 'c_lessequals'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), Z,
% 1.23/1.62 'tc_nat' ) ), =( 'c_List_Olist__update'( X, Z, T, Y ), X ) ],
% 1.23/1.62 [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) )
% 1.23/1.62 , =( 'c_List_Olist__update'( Y, X, 'c_List_Onth'( Y, X, Z ), Z ), Y ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ =( 'c_List_Olist__update'( 'c_append'( X, 'c_List_Olist_OCons'( Y, Z,
% 1.23/1.62 T ), T ), 'c_Nat_Osize'( X, 'tc_List_Olist'( T ) ), U, T ), 'c_append'( X
% 1.23/1.62 , 'c_List_Olist_OCons'( U, Z, T ), T ) ) ],
% 1.23/1.62 [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) )
% 1.23/1.62 , =( 'c_List_Olist__update'( 'c_List_Olist__update'( Y, X, T, Z ), X, U,
% 1.23/1.62 Z ), 'c_List_Olist__update'( Y, X, U, Z ) ) ],
% 1.23/1.62 [ =( 'c_Relation_OImage'( 'c_List_Olistrel'( X, Y ), 'c_insert'(
% 1.23/1.62 'c_List_Olist_ONil', 'c_emptyset', 'tc_List_Olist'( Y ) ),
% 1.23/1.62 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_insert'(
% 1.23/1.62 'c_List_Olist_ONil', 'c_emptyset', 'tc_List_Olist'( Y ) ) ) ],
% 1.23/1.62 [ =( 'c_List_Olists'( 'c_inter'( X, Y, Z ), Z ), 'c_inter'(
% 1.23/1.62 'c_List_Olists'( X, Z ), 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) )
% 1.23/1.62 ) ],
% 1.23/1.62 [ =( 'c_List_Olists'( 'c_UNIV', X ), 'c_UNIV' ) ],
% 1.23/1.62 [ =( 'c_List_Olistset'( 'c_List_Olist_ONil', X ), 'c_insert'(
% 1.23/1.62 'c_List_Olist_ONil', 'c_emptyset', 'tc_List_Olist'( X ) ) ) ],
% 1.23/1.62 [ =( 'c_List_Olistset'( 'c_List_Olist_OCons'( X, Y, 'tc_set'( Z ) ), Z )
% 1.23/1.62 , 'c_List_Oset__Cons'( X, 'c_List_Olistset'( Y, Z ), Z ) ) ],
% 1.23/1.62 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.23/1.62 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble9', V10 ), V3 ) ],
% 1.23/1.62 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.23/1.62 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleA', V10 ), V4 ) ],
% 1.23/1.62 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.23/1.62 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleB', V10 ), V5 ) ],
% 1.23/1.62 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.23/1.62 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleC', V10 ), V6 ) ],
% 1.23/1.62 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.23/1.62 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleD', V10 ), V7 ) ],
% 1.23/1.62 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.23/1.62 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleE', V10 ), V8 ) ],
% 1.23/1.62 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.23/1.62 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleF', V10 ), V9 ) ],
% 1.23/1.62 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.23/1.62 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble0', V10 ), X ) ],
% 1.23/1.62 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.23/1.62 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble1', V10 ), Y ) ],
% 1.23/1.62 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.23/1.62 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble2', V10 ), Z ) ],
% 1.23/1.62 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.23/1.62 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble3', V10 ), T ) ],
% 1.23/1.62 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.23/1.62 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble4', V10 ), U ) ],
% 1.23/1.62 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.23/1.62 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble5', V10 ), W ) ],
% 1.23/1.62 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.23/1.62 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble6', V10 ), V0 ) ],
% 1.23/1.62 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.23/1.62 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble7', V10 ), V1 ) ],
% 1.23/1.62 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.23/1.62 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble8', V10 ), V2 ) ],
% 1.23/1.62 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.23/1.62 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble9', V10 ), V3 ) ],
% 1.23/1.62 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.23/1.62 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleA', V10 ), V4 ) ],
% 1.23/1.62 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.23/1.62 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleB', V10 ), V5 ) ],
% 1.23/1.62 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.23/1.62 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleC', V10 ), V6 ) ],
% 1.23/1.62 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.23/1.62 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleD', V10 ), V7 ) ],
% 1.23/1.62 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.23/1.62 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleE', V10 ), V8 ) ],
% 1.23/1.62 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.23/1.62 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleF', V10 ), V9 ) ],
% 1.23/1.62 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.23/1.62 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble0', V10 ), X ) ],
% 1.23/1.62 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.23/1.62 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble1', V10 ), Y ) ],
% 1.23/1.62 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.23/1.62 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble2', V10 ), Z ) ],
% 1.23/1.62 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.23/1.62 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble3', V10 ), T ) ],
% 1.23/1.62 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.23/1.62 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble4', V10 ), U ) ],
% 1.23/1.62 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.23/1.62 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble5', V10 ), W ) ],
% 1.23/1.62 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.23/1.62 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble6', V10 ), V0 ) ],
% 1.23/1.62 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.23/1.62 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble7', V10 ), V1 ) ],
% 1.23/1.62 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.23/1.62 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble8', V10 ), V2 ) ],
% 1.23/1.62 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble9', 'tc_List_Onibble' ),
% 1.23/1.62 'c_0' ) ],
% 1.23/1.62 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleA', 'tc_List_Onibble' ),
% 1.23/1.62 'c_0' ) ],
% 1.23/1.62 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleB', 'tc_List_Onibble' ),
% 1.23/1.62 'c_0' ) ],
% 1.23/1.62 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleC', 'tc_List_Onibble' ),
% 1.23/1.62 'c_0' ) ],
% 1.23/1.62 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleD', 'tc_List_Onibble' ),
% 1.23/1.62 'c_0' ) ],
% 1.23/1.62 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleE', 'tc_List_Onibble' ),
% 1.23/1.62 'c_0' ) ],
% 1.23/1.62 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleF', 'tc_List_Onibble' ),
% 1.23/1.62 'c_0' ) ],
% 1.23/1.62 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble0', 'tc_List_Onibble' ),
% 1.23/1.62 'c_0' ) ],
% 1.23/1.62 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble1', 'tc_List_Onibble' ),
% 1.23/1.62 'c_0' ) ],
% 1.23/1.62 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble2', 'tc_List_Onibble' ),
% 1.23/1.62 'c_0' ) ],
% 1.23/1.62 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble3', 'tc_List_Onibble' ),
% 1.23/1.62 'c_0' ) ],
% 1.23/1.62 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble4', 'tc_List_Onibble' ),
% 1.23/1.62 'c_0' ) ],
% 1.23/1.62 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble5', 'tc_List_Onibble' ),
% 1.23/1.62 'c_0' ) ],
% 1.23/1.62 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble6', 'tc_List_Onibble' ),
% 1.23/1.62 'c_0' ) ],
% 1.23/1.62 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble7', 'tc_List_Onibble' ),
% 1.23/1.62 'c_0' ) ],
% 1.23/1.62 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble8', 'tc_List_Onibble' ),
% 1.23/1.62 'c_0' ) ],
% 1.23/1.62 [ ~( =( X, 'c_List_Olist_OCons'( Y, X, Z ) ) ) ],
% 1.23/1.62 [ ~( 'c_in'( X, 'c_List_Oset'( 'c_List_Oremove1'( Y, Z, T ), T ), T ) )
% 1.23/1.62 , 'c_in'( X, 'c_List_Oset'( Z, T ), T ) ],
% 1.23/1.62 [ ~( 'c_in'( X, 'c_List_Oset'( 'c_List_Osublist'( Y, Z, T ), T ), T ) )
% 1.23/1.62 , 'c_in'( X, 'c_List_Oset'( Y, T ), T ) ],
% 1.23/1.62 [ =( 'c_List_Onth'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_0', Z ), X ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ =( 'c_List_Onth'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_Suc'( T ), Z ),
% 1.23/1.62 'c_List_Onth'( Y, T, Z ) ) ],
% 1.23/1.62 [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ), =(
% 1.23/1.62 'c_List_Onth'( 'c_List_Olist_OCons'( Y, Z, T ), 'c_Numeral_Onumber__of'(
% 1.23/1.62 X, 'tc_nat' ), T ), Y ) ],
% 1.23/1.62 [ =( 'c_List_Onth'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.23/1.62 'c_Numeral_Onumber__of'( T, 'tc_nat' ), Z ), 'c_List_Onth'( Y, 'c_minus'(
% 1.23/1.62 'c_Numeral_Onumber__of'( T, 'tc_nat' ), 'c_1', 'tc_nat' ), Z ) ), =(
% 1.23/1.62 'c_Numeral_Onumber__of'( T, 'tc_nat' ), 'c_0' ) ],
% 1.23/1.62 [ =( 'c_List_Onth'( 'c_append'( X, 'c_List_Olist_OCons'( Y, Z, T ), T )
% 1.23/1.62 , 'c_Nat_Osize'( X, 'tc_List_Olist'( T ) ), T ), Y ) ],
% 1.23/1.62 [ =( 'c_List_Onth'( 'c_append'( X, Y, Z ), 'c_plus'( 'c_Nat_Osize'( X,
% 1.23/1.62 'tc_List_Olist'( Z ) ), T, 'tc_nat' ), Z ), 'c_List_Onth'( Y, T, Z ) ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( 'c_lessequals'( 'c_plus'( X, Y, 'tc_nat' ), 'c_Nat_Osize'( Z,
% 1.23/1.62 'tc_List_Olist'( T ) ), 'tc_nat' ) ), =( 'c_List_Onth'( 'c_List_Odrop'( X
% 1.23/1.62 , Z, T ), Y, T ), 'c_List_Onth'( Z, 'c_plus'( X, Y, 'tc_nat' ), T ) ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) )
% 1.23/1.62 , =( 'c_List_Onth'( 'c_List_Olist__update'( Y, X, T, Z ), X, Z ), T ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ =( X, Y ), =( 'c_List_Onth'( 'c_List_Olist__update'( Z, X, T, U ), Y,
% 1.23/1.62 U ), 'c_List_Onth'( Z, Y, U ) ) ],
% 1.23/1.62 [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) )
% 1.23/1.62 , 'c_in'( 'c_List_Onth'( Y, X, Z ), 'c_List_Oset'( Y, Z ), Z ) ],
% 1.23/1.62 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_List_Onth'( 'c_List_Oreplicate'(
% 1.23/1.62 Y, Z, T ), X, T ), Z ) ],
% 1.23/1.62 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_List_Onth'( 'c_List_Otake'( Y,
% 1.23/1.62 Z, T ), X, T ), 'c_List_Onth'( Z, X, T ) ) ],
% 1.23/1.62 [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ) ), =(
% 1.23/1.62 'c_List_Onth'( 'c_List_Oupt'( X, Z ), Y, 'tc_nat' ), 'c_plus'( X, Y,
% 1.23/1.62 'tc_nat' ) ) ],
% 1.23/1.62 [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) )
% 1.23/1.62 , ~( 'c_less'( X, 'c_Nat_Osize'( T, 'tc_List_Olist'( U ) ), 'tc_nat' ) )
% 1.23/1.62 , =( 'c_List_Onth'( 'c_List_Ozip'( T, Y, U, Z ), X, 'tc_prod'( U, Z ) ),
% 1.23/1.62 'c_Pair'( 'c_List_Onth'( T, X, U ), 'c_List_Onth'( Y, X, Z ), U, Z ) ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ 'c_List_Onull'( 'c_List_Olist_ONil', X ) ],
% 1.23/1.62 [ ~( 'c_List_Onull'( 'c_List_Olist_OCons'( X, Y, Z ), Z ) ) ],
% 1.23/1.62 [ =( 'c_append'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ),
% 1.23/1.62 'c_List_Olist_OCons'( X, 'c_append'( Y, T, Z ), Z ) ) ],
% 1.23/1.62 [ ~( 'c_List_Oop_Amem'( X, 'c_List_Olist_ONil', Y ) ) ],
% 1.23/1.62 [ ~( 'c_List_Oop_Amem'( X, 'c_List_Olist_OCons'( Y, Z, T ), T ) ),
% 1.23/1.62 'c_List_Oop_Amem'( X, Z, T ), =( Y, X ) ],
% 1.23/1.62 [ 'c_List_Oop_Amem'( X, 'c_List_Olist_OCons'( X, Y, Z ), Z ) ],
% 1.23/1.62 [ ~( 'c_List_Oop_Amem'( X, Y, Z ) ), 'c_List_Oop_Amem'( X,
% 1.23/1.62 'c_List_Olist_OCons'( T, Y, Z ), Z ) ],
% 1.23/1.62 [ ~( 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ) ), =( 'c_List_Oremdups'(
% 1.23/1.62 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_List_Oremdups'( Y, Z ) ) ],
% 1.23/1.62 [ 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ), =( 'c_List_Oremdups'(
% 1.23/1.62 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_List_Olist_OCons'( X,
% 1.23/1.62 'c_List_Oremdups'( Y, Z ), Z ) ) ],
% 1.23/1.62 [ ~( =( 'c_List_Oremdups'( X, Y ), 'c_List_Olist_ONil' ) ), =( X,
% 1.23/1.62 'c_List_Olist_ONil' ) ],
% 1.23/1.62 [ =( 'c_List_Oremdups'( 'c_List_Olist_ONil', X ), 'c_List_Olist_ONil' )
% 1.23/1.62 ],
% 1.23/1.62 [ ~( =( 'c_List_Olist_ONil', 'c_List_Oremdups'( X, Y ) ) ), =( X,
% 1.23/1.62 'c_List_Olist_ONil' ) ],
% 1.23/1.62 [ =( 'c_List_Olist_ONil', 'c_List_Oremdups'( 'c_List_Olist_ONil', X ) )
% 1.23/1.62 ],
% 1.23/1.62 [ =( 'c_List_Oremove1'( X, 'c_List_Olist_ONil', Y ), 'c_List_Olist_ONil'
% 1.23/1.62 ) ],
% 1.23/1.62 [ =( 'c_List_Oremove1'( X, 'c_List_Olist_OCons'( X, Y, Z ), Z ), Y ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ =( X, Y ), =( 'c_List_Oremove1'( X, 'c_List_Olist_OCons'( Y, Z, T ), T
% 1.23/1.62 ), 'c_List_Olist_OCons'( Y, 'c_List_Oremove1'( X, Z, T ), T ) ) ],
% 1.23/1.62 [ =( 'c_List_Oreplicate'( 'c_0', X, Y ), 'c_List_Olist_ONil' ) ],
% 1.23/1.62 [ =( 'c_List_Oreplicate'( 'c_Suc'( X ), Y, Z ), 'c_List_Olist_OCons'( Y
% 1.23/1.62 , 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ],
% 1.23/1.62 [ =( 'c_List_Orev'( 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_append'(
% 1.23/1.62 'c_List_Orev'( Y, Z ), 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Z )
% 1.23/1.62 , Z ) ) ],
% 1.23/1.62 [ =( 'c_List_Orev'( 'c_append'( X, Y, Z ), Z ), 'c_append'(
% 1.23/1.62 'c_List_Orev'( Y, Z ), 'c_List_Orev'( X, Z ), Z ) ) ],
% 1.23/1.62 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z, T, Y ) ) ), =( X
% 1.23/1.62 , 'c_append'( 'c_List_Orev'( T, Y ), 'c_List_Olist_OCons'( Z,
% 1.23/1.62 'c_List_Olist_ONil', Y ), Y ) ) ],
% 1.23/1.62 [ =( 'c_List_Orev'( 'c_append'( 'c_List_Orev'( X, Y ),
% 1.23/1.62 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil', Y ), Y ), Y ),
% 1.23/1.62 'c_List_Olist_OCons'( Z, X, Y ) ) ],
% 1.23/1.62 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_ONil' ) ), =( X,
% 1.23/1.62 'c_List_Olist_ONil' ) ],
% 1.23/1.62 [ =( 'c_List_Orev'( 'c_List_Olist_ONil', X ), 'c_List_Olist_ONil' ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Orev'( Z, Y ) ) ), =( X, Z ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ =( 'c_List_Orev'( 'c_List_Oreplicate'( X, Y, Z ), Z ),
% 1.23/1.62 'c_List_Oreplicate'( X, Y, Z ) ) ],
% 1.23/1.62 [ =( 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ), X ) ],
% 1.23/1.62 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z,
% 1.23/1.62 'c_List_Olist_ONil', Y ) ) ), =( X, 'c_List_Olist_OCons'( Z,
% 1.23/1.62 'c_List_Olist_ONil', Y ) ) ],
% 1.23/1.62 [ =( 'c_List_Orev'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ), Y
% 1.23/1.62 ), 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ) ) ],
% 1.23/1.62 [ ~( =( 'c_List_Orotate1'( X, Y ), 'c_List_Olist_ONil' ) ), =( X,
% 1.23/1.62 'c_List_Olist_ONil' ) ],
% 1.23/1.62 [ =( 'c_List_Orotate1'( 'c_List_Olist_ONil', X ), 'c_List_Olist_ONil' )
% 1.23/1.62 ],
% 1.23/1.62 [ ~( 'c_lessequals'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_1',
% 1.23/1.62 'tc_nat' ) ), =( 'c_List_Orotate1'( X, Y ), X ) ],
% 1.23/1.62 [ =( 'c_List_Orotate'( 'c_Suc'( X ), Y, Z ), 'c_List_Orotate1'(
% 1.23/1.62 'c_List_Orotate'( X, Y, Z ), Z ) ) ],
% 1.23/1.62 [ ~( =( 'c_Divides_Oop_Amod'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z )
% 1.23/1.62 ), 'tc_nat' ), 'c_0' ) ), =( 'c_List_Orotate'( X, Y, Z ), Y ) ],
% 1.23/1.62 [ ~( =( 'c_List_Orotate'( X, Y, Z ), 'c_List_Olist_ONil' ) ), =( Y,
% 1.23/1.62 'c_List_Olist_ONil' ) ],
% 1.23/1.62 [ =( 'c_List_Orotate'( X, 'c_List_Olist_ONil', Y ), 'c_List_Olist_ONil'
% 1.23/1.62 ) ],
% 1.23/1.62 [ ~( 'c_lessequals'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_1',
% 1.23/1.62 'tc_nat' ) ), =( 'c_List_Orotate'( Z, X, Y ), X ) ],
% 1.23/1.62 [ ~( =( 'c_append'( X, Y, Z ), 'c_append'( X, T, Z ) ) ), =( Y, T ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( =( X, 'c_append'( Y, X, Z ) ) ), =( Y, 'c_List_Olist_ONil' ) ],
% 1.23/1.62 [ =( X, 'c_append'( 'c_List_Olist_ONil', X, Y ) ) ],
% 1.23/1.62 [ ~( =( X, 'c_append'( X, Y, Z ) ) ), =( Y, 'c_List_Olist_ONil' ) ],
% 1.23/1.62 [ =( X, 'c_append'( X, 'c_List_Olist_ONil', Y ) ) ],
% 1.23/1.62 [ =( 'c_List_Oset'( 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_insert'( X
% 1.23/1.62 , 'c_List_Oset'( Y, Z ), Z ) ) ],
% 1.23/1.62 [ =( 'c_List_Oset'( 'c_append'( X, Y, Z ), Z ), 'c_union'( 'c_List_Oset'(
% 1.23/1.62 X, Z ), 'c_List_Oset'( Y, Z ), Z ) ) ],
% 1.23/1.62 [ ~( =( 'c_emptyset', 'c_List_Oset'( X, Y ) ) ), =( X,
% 1.23/1.62 'c_List_Olist_ONil' ) ],
% 1.23/1.62 [ =( 'c_emptyset', 'c_List_Oset'( 'c_List_Olist_ONil', X ) ) ],
% 1.23/1.62 [ ~( =( 'c_List_Oset'( X, Y ), 'c_emptyset' ) ), =( X,
% 1.23/1.62 'c_List_Olist_ONil' ) ],
% 1.23/1.62 [ =( 'c_List_Oset'( 'c_List_Olist_ONil', X ), 'c_emptyset' ) ],
% 1.23/1.62 [ =( 'c_List_Oset'( 'c_List_Oremdups'( X, Y ), Y ), 'c_List_Oset'( X, Y
% 1.23/1.62 ) ) ],
% 1.23/1.62 [ ~( 'c_List_Odistinct'( X, Y ) ), =( 'c_List_Oset'( 'c_List_Oremove1'(
% 1.23/1.62 Z, X, Y ), Y ), 'c_minus'( 'c_List_Oset'( X, Y ), 'c_insert'( Z,
% 1.23/1.62 'c_emptyset', Y ), 'tc_set'( Y ) ) ) ],
% 1.23/1.62 [ =( X, 'c_0' ), =( 'c_List_Oset'( 'c_List_Oreplicate'( X, Y, Z ), Z ),
% 1.23/1.62 'c_insert'( Y, 'c_emptyset', Z ) ) ],
% 1.23/1.62 [ =( 'c_List_Oset'( 'c_List_Orev'( X, Y ), Y ), 'c_List_Oset'( X, Y ) )
% 1.23/1.62 ],
% 1.23/1.62 [ =( 'c_List_Oset'( 'c_List_Orotate1'( X, Y ), Y ), 'c_List_Oset'( X, Y
% 1.23/1.62 ) ) ],
% 1.23/1.62 [ =( 'c_List_Oset'( 'c_List_Orotate'( X, Y, Z ), Z ), 'c_List_Oset'( Y,
% 1.23/1.62 Z ) ) ],
% 1.23/1.62 [ ~( =( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ), 'c_List_Orev'(
% 1.23/1.62 Z, Y ) ) ), =( Z, 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ) ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ =( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ), 'c_List_Orev'(
% 1.23/1.62 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ), Y ) ) ],
% 1.23/1.62 [ =( 'c_List_Osublist'( X, 'c_emptyset', Y ), 'c_List_Olist_ONil' ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ =( 'c_List_Osublist'( 'c_List_Olist_ONil', X, Y ), 'c_List_Olist_ONil'
% 1.23/1.62 ) ],
% 1.23/1.62 [ ~( 'c_in'( 'c_0', X, 'tc_nat' ) ), =( 'c_List_Osublist'(
% 1.23/1.62 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z ), X, Z ),
% 1.23/1.62 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z ) ) ],
% 1.23/1.62 [ 'c_in'( 'c_0', X, 'tc_nat' ), =( 'c_List_Osublist'(
% 1.23/1.62 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z ), X, Z ),
% 1.23/1.62 'c_List_Olist_ONil' ) ],
% 1.23/1.62 [ =( 'c_List_Osublist'( X, 'c_SetInterval_OlessThan'( Y, 'tc_nat' ), Z )
% 1.23/1.62 , 'c_List_Otake'( Y, X, Z ) ) ],
% 1.23/1.62 [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ), =(
% 1.23/1.62 'c_List_Otake'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.23/1.62 'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_List_Olist_ONil' ) ],
% 1.23/1.62 [ =( 'c_List_Otake'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.23/1.62 'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_List_Olist_OCons'( Y,
% 1.23/1.62 'c_List_Otake'( 'c_minus'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_1'
% 1.23/1.62 , 'tc_nat' ), Z, T ), T ) ), =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.23/1.62 'c_0' ) ],
% 1.23/1.62 [ =( 'c_List_Otake'( 'c_Suc'( X ), 'c_List_Olist_OCons'( Y, Z, T ), T )
% 1.23/1.62 , 'c_List_Olist_OCons'( Y, 'c_List_Otake'( X, Z, T ), T ) ) ],
% 1.23/1.62 [ ~( 'c_lessequals'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), Z,
% 1.23/1.62 'tc_nat' ) ), =( 'c_List_Otake'( Z, X, Y ), X ) ],
% 1.23/1.62 [ =( 'c_List_Otake'( X, 'c_append'( Y, Z, T ), T ), 'c_append'(
% 1.23/1.62 'c_List_Otake'( X, Y, T ), 'c_List_Otake'( 'c_minus'( X, 'c_Nat_Osize'( Y
% 1.23/1.62 , 'tc_List_Olist'( T ) ), 'tc_nat' ), Z, T ), T ) ) ],
% 1.23/1.62 [ ~( =( 'c_List_Otake'( X, Y, Z ), 'c_List_Olist_ONil' ) ), =( X, 'c_0'
% 1.23/1.62 ), =( Y, 'c_List_Olist_ONil' ) ],
% 1.23/1.62 [ =( 'c_List_Otake'( 'c_0', X, Y ), 'c_List_Olist_ONil' ) ],
% 1.23/1.62 [ =( 'c_List_Otake'( X, 'c_List_Olist_ONil', Y ), 'c_List_Olist_ONil' )
% 1.23/1.62 ],
% 1.23/1.62 [ =( 'c_List_Otake'( X, 'c_List_Oreplicate'( Y, Z, T ), T ),
% 1.23/1.62 'c_List_Oreplicate'( 'c_Orderings_Omin'( X, Y, 'tc_nat' ), Z, T ) ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ =( 'c_List_Otake'( X, 'c_List_Otake'( Y, Z, T ), T ), 'c_List_Otake'(
% 1.23/1.62 'c_Orderings_Omin'( X, Y, 'tc_nat' ), Z, T ) ) ],
% 1.23/1.62 [ ~( 'c_lessequals'( 'c_plus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ) ), =(
% 1.23/1.62 'c_List_Otake'( Y, 'c_List_Oupt'( X, Z ), 'tc_nat' ), 'c_List_Oupt'( X,
% 1.23/1.62 'c_plus'( X, Y, 'tc_nat' ) ) ) ],
% 1.23/1.62 [ =( 'c_List_Otl'( 'c_List_Olist_ONil', X ), 'c_List_Olist_ONil' ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ =( 'c_List_Otl'( 'c_List_Olist_OCons'( X, Y, Z ), Z ), Y ) ],
% 1.23/1.62 [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Otl'( 'c_append'( X, Y, Z ), Z
% 1.23/1.62 ), 'c_append'( 'c_List_Otl'( X, Z ), Y, Z ) ) ],
% 1.23/1.62 [ =( X, 'c_0' ), =( 'c_List_Otl'( 'c_List_Oreplicate'( X, Y, Z ), Z ),
% 1.23/1.62 'c_List_Oreplicate'( 'c_minus'( X, 'c_1', 'tc_nat' ), Y, Z ) ) ],
% 1.23/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_List_Oupt'( X, 'c_Suc'( Y
% 1.23/1.62 ) ), 'c_append'( 'c_List_Oupt'( X, Y ), 'c_List_Olist_OCons'( Y,
% 1.23/1.62 'c_List_Olist_ONil', 'tc_nat' ), 'tc_nat' ) ) ],
% 1.23/1.62 [ 'c_lessequals'( X, Y, 'tc_nat' ), =( 'c_List_Oupt'( X, 'c_Suc'( Y ) )
% 1.23/1.62 , 'c_List_Olist_ONil' ) ],
% 1.23/1.62 [ ~( =( 'c_List_Oupt'( X, Y ), 'c_List_Olist_ONil' ) ), 'c_lessequals'(
% 1.23/1.62 Y, X, 'tc_nat' ), =( Y, 'c_0' ) ],
% 1.23/1.62 [ =( 'c_List_Oupt'( X, 'c_0' ), 'c_List_Olist_ONil' ) ],
% 1.23/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_List_Oupt'( Y, X ),
% 1.23/1.62 'c_List_Olist_ONil' ) ],
% 1.23/1.62 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), Y ) ) ],
% 1.23/1.62 [ =( 'c_List_Ozip'( X, 'c_List_Olist_ONil', Y, Z ), 'c_List_Olist_ONil'
% 1.23/1.62 ) ],
% 1.23/1.62 [ =( 'c_List_Ozip'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.23/1.62 'c_List_Olist_OCons'( T, U, W ), Z, W ), 'c_List_Olist_OCons'( 'c_Pair'(
% 1.23/1.62 X, T, Z, W ), 'c_List_Ozip'( Y, U, Z, W ), 'tc_prod'( Z, W ) ) ) ],
% 1.23/1.62 [ =( 'c_List_Ozip'( 'c_List_Olist_ONil', X, Y, Z ), 'c_List_Olist_ONil'
% 1.23/1.62 ) ],
% 1.23/1.62 [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( Z,
% 1.23/1.62 'tc_List_Olist'( T ) ) ) ), ~( =( 'c_Nat_Osize'( U, 'tc_List_Olist'( Y )
% 1.23/1.62 ), 'c_Nat_Osize'( W, 'tc_List_Olist'( T ) ) ) ), =( 'c_List_Ozip'(
% 1.23/1.62 'c_append'( U, X, Y ), 'c_append'( W, Z, T ), Y, T ), 'c_append'(
% 1.23/1.62 'c_List_Ozip'( U, W, Y, T ), 'c_List_Ozip'( X, Z, Y, T ), 'tc_prod'( Y, T
% 1.23/1.62 ) ) ) ],
% 1.23/1.62 [ =( 'c_List_Ozip'( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Oreplicate'(
% 1.23/1.62 T, U, W ), Z, W ), 'c_List_Oreplicate'( 'c_Orderings_Omin'( X, T,
% 1.23/1.62 'tc_nat' ), 'c_Pair'( Y, U, Z, W ), 'tc_prod'( Z, W ) ) ) ],
% 1.23/1.62 [ ~( 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ) ), ~( =( 'c_Map_Omap__of'(
% 1.23/1.62 'c_List_Ozip'( Y, T, Z, U ), X, Z, U ), 'c_Datatype_Ooption_ONone' ) ),
% 1.23/1.62 ~( =( 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( T,
% 1.23/1.62 'tc_List_Olist'( U ) ) ) ) ],
% 1.23/1.62 [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( Z,
% 1.23/1.62 'tc_List_Olist'( T ) ) ) ), 'c_in'( U, 'c_List_Oset'( X, Y ), Y ), =(
% 1.23/1.62 'c_Map_Omap__of'( 'c_List_Ozip'( X, Z, Y, T ), U, Y, T ),
% 1.23/1.62 'c_Datatype_Ooption_ONone' ) ],
% 1.23/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_plus'( 'c_minus'( Y, X,
% 1.23/1.62 'tc_nat' ), Z, 'tc_nat' ), 'c_minus'( 'c_plus'( Y, Z, 'tc_nat' ), X,
% 1.23/1.62 'tc_nat' ) ) ],
% 1.23/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_plus'( Z, 'c_minus'( Y, X
% 1.23/1.62 , 'tc_nat' ), 'tc_nat' ), 'c_minus'( 'c_plus'( Z, Y, 'tc_nat' ), X,
% 1.23/1.62 'tc_nat' ) ) ],
% 1.23/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_minus'( Z, 'c_Suc'(
% 1.23/1.62 'c_minus'( Y, X, 'tc_nat' ) ), 'tc_nat' ), 'c_minus'( 'c_plus'( Z, X,
% 1.23/1.62 'tc_nat' ), 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 1.23/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_minus'( 'c_Suc'(
% 1.23/1.62 'c_minus'( Y, X, 'tc_nat' ) ), Z, 'tc_nat' ), 'c_minus'( 'c_Suc'( Y ),
% 1.23/1.62 'c_plus'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.23/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_minus'( Y, 'c_minus'( Y,
% 1.23/1.62 X, 'tc_nat' ), 'tc_nat' ), X ) ],
% 1.23/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_minus'( Z, 'c_minus'( Y,
% 1.23/1.62 X, 'tc_nat' ), 'tc_nat' ), 'c_minus'( 'c_plus'( Z, X, 'tc_nat' ), Y,
% 1.23/1.62 'tc_nat' ) ) ],
% 1.23/1.62 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), ~( 'c_less'( 'c_0', Y, 'tc_nat' )
% 1.23/1.62 ), 'c_less'( 'c_minus'( X, Y, 'tc_nat' ), X, 'tc_nat' ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), =(
% 1.23/1.62 'c_NatArith_Oof__nat'( 'c_Suc'( Y ), X ), 'c_plus'( 'c_NatArith_Oof__nat'(
% 1.23/1.62 Y, X ), 'c_1', X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( 'c_0',
% 1.23/1.62 'c_NatArith_Oof__nat'( Y, X ) ) ), =( 'c_0', Y ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), =( 'c_0',
% 1.23/1.62 'c_NatArith_Oof__nat'( 'c_0', X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.23/1.62 'c_0', 'c_NatArith_Oof__nat'( Y, X ), X ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'(
% 1.23/1.62 'c_0', 'c_NatArith_Oof__nat'( Y, X ), X ) ), 'c_less'( 'c_0', Y, 'tc_nat'
% 1.23/1.62 ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'(
% 1.23/1.62 'c_0', Y, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_NatArith_Oof__nat'( Y, X ), X
% 1.23/1.62 ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), =(
% 1.23/1.62 'c_NatArith_Oof__nat'( 'c_1', X ), 'c_1' ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), =(
% 1.23/1.62 'c_NatArith_Oof__nat'( 'c_plus'( Y, Z, 'tc_nat' ), X ), 'c_plus'(
% 1.23/1.62 'c_NatArith_Oof__nat'( Y, X ), 'c_NatArith_Oof__nat'( Z, X ), X ) ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_lessequals'(
% 1.23/1.62 Y, Z, 'tc_nat' ) ), =( 'c_NatArith_Oof__nat'( 'c_minus'( Z, Y, 'tc_nat' )
% 1.23/1.62 , X ), 'c_minus'( 'c_NatArith_Oof__nat'( Z, X ), 'c_NatArith_Oof__nat'( Y
% 1.23/1.62 , X ), X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 1.23/1.62 'c_NatArith_Oof__nat'( Y, X ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), =(
% 1.23/1.62 'c_NatArith_Oof__nat'( 'c_0', X ), 'c_0' ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 1.23/1.62 'c_NatArith_Oof__nat'( Y, X ), 'c_NatArith_Oof__nat'( Z, X ) ) ), =( Y, Z
% 1.23/1.62 ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.23/1.62 'c_lessequals'( 'c_NatArith_Oof__nat'( Y, X ), 'c_0', X ) ), =( Y, 'c_0'
% 1.23/1.62 ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.23/1.62 'c_NatArith_Oof__nat'( 'c_0', X ), 'c_0', X ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.23/1.62 'c_lessequals'( 'c_NatArith_Oof__nat'( Y, X ), 'c_NatArith_Oof__nat'( Z,
% 1.23/1.62 X ), X ) ), 'c_lessequals'( Y, Z, 'tc_nat' ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.23/1.62 'c_lessequals'( Y, Z, 'tc_nat' ) ), 'c_lessequals'( 'c_NatArith_Oof__nat'(
% 1.23/1.62 Y, X ), 'c_NatArith_Oof__nat'( Z, X ), X ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'(
% 1.23/1.62 'c_NatArith_Oof__nat'( Y, X ), 'c_0', X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'(
% 1.23/1.62 'c_NatArith_Oof__nat'( Y, X ), 'c_NatArith_Oof__nat'( Z, X ), X ) ),
% 1.23/1.62 'c_less'( Y, Z, 'tc_nat' ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( Y,
% 1.23/1.62 Z, 'tc_nat' ) ), 'c_less'( 'c_NatArith_Oof__nat'( Y, X ),
% 1.23/1.62 'c_NatArith_Oof__nat'( Z, X ), X ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), =(
% 1.23/1.62 'c_NatArith_Oof__nat'( 'c_times'( Y, Z, 'tc_nat' ), X ), 'c_times'(
% 1.23/1.62 'c_NatArith_Oof__nat'( Y, X ), 'c_NatArith_Oof__nat'( Z, X ), X ) ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.23/1.62 'tc_IntDef_Oint' ) ), =( 'c_Suc'( 'c_Numeral_Onumber__of'( X, 'tc_nat' )
% 1.23/1.62 ), 'c_1' ) ],
% 1.23/1.62 [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.23/1.62 'tc_IntDef_Oint' ), =( 'c_Suc'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ) )
% 1.23/1.62 , 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__succ'( X ), 'tc_nat' ) ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.23/1.62 'tc_IntDef_Oint' ) ), =( 'c_plus'( 'c_Numeral_Onumber__of'( X, 'tc_nat' )
% 1.23/1.62 , 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ),
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ],
% 1.23/1.62 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.23/1.62 'tc_IntDef_Oint' ) ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y,
% 1.23/1.62 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_plus'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_Numeral_Onumber__of'( X,
% 1.23/1.62 'tc_nat' ), 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ],
% 1.23/1.62 [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.23/1.62 'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y,
% 1.23/1.62 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_plus'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_Numeral_Onumber__of'( X,
% 1.23/1.62 'tc_nat' ), 'tc_nat' ), 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y
% 1.23/1.62 , X ), 'tc_nat' ) ) ],
% 1.23/1.62 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.23/1.62 'tc_IntDef_Oint' ) ), =( 'c_div'( 'c_Numeral_Onumber__of'( X, 'tc_nat' )
% 1.23/1.62 , 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_0' ) ],
% 1.23/1.62 [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.23/1.62 'tc_IntDef_Oint' ), =( 'c_div'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_IntDef_Onat'(
% 1.23/1.62 'c_div'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( 'c_Divides_Oop_Advd'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), =(
% 1.23/1.62 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ),
% 1.23/1.62 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ), 'c_0' ) ],
% 1.23/1.62 [ ~( =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_0' ) ),
% 1.23/1.62 'c_Divides_Oop_Advd'( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ),
% 1.23/1.62 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ) ],
% 1.23/1.62 [ ~( =( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_nat' ) ) ),
% 1.23/1.62 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.23/1.62 'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.23/1.62 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.23/1.62 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.23/1.62 'tc_IntDef_Oint' ) ), =( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_nat' ) )
% 1.23/1.62 ],
% 1.23/1.62 [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.23/1.62 , 'tc_IntDef_Oint' ) ), =( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_nat' )
% 1.23/1.62 ) ],
% 1.23/1.62 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.23/1.62 'tc_IntDef_Oint' ) ), ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ), 'c_IntDef_Oiszero'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.23/1.62 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.23/1.62 'tc_IntDef_Oint' ) ],
% 1.23/1.62 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.23/1.62 'tc_IntDef_Oint' ) ), ~( =( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ),
% 1.23/1.62 'c_Numeral_Onumber__of'( X, 'tc_nat' ) ) ), 'c_IntDef_Oiszero'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.23/1.62 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.23/1.62 'tc_IntDef_Oint' ) ],
% 1.23/1.62 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.23/1.62 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y,
% 1.23/1.62 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_Numeral_Onumber__of'( X,
% 1.23/1.62 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ],
% 1.23/1.62 [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.23/1.62 , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y,
% 1.23/1.62 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =(
% 1.23/1.62 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y,
% 1.23/1.62 'tc_nat' ) ) ],
% 1.23/1.62 [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.23/1.62 , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'(
% 1.23/1.62 'c_Numeral_Obin__add'( X, 'c_Numeral_Obin__minus'( Y ) ),
% 1.23/1.62 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =(
% 1.23/1.62 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y,
% 1.23/1.62 'tc_nat' ) ) ],
% 1.23/1.62 [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'(
% 1.23/1.62 Y, 'tc_nat' ) ) ), 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'(
% 1.23/1.62 'c_Numeral_Obin__add'( X, 'c_Numeral_Obin__minus'( Y ) ),
% 1.23/1.62 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_IntDef_Oneg'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.23/1.62 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.23/1.62 'tc_IntDef_Oint' ) ],
% 1.23/1.62 [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'(
% 1.23/1.62 X, 'c_Numeral_Obin__minus'( Y ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' )
% 1.23/1.62 ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.23/1.62 'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.23/1.62 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_Numeral_Onumber__of'( X,
% 1.23/1.62 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ],
% 1.23/1.62 [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.23/1.62 , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y,
% 1.23/1.62 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_IntDef_Oneg'(
% 1.23/1.62 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =(
% 1.23/1.62 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y,
% 1.23/1.62 'tc_nat' ) ) ],
% 1.23/1.62 [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.23/1.62 , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'(
% 1.23/1.62 'c_Numeral_Obin__add'( X, 'c_Numeral_Obin__minus'( Y ) ),
% 1.23/1.62 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_IntDef_Oneg'(
% 1.23/1.62 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =(
% 1.23/1.62 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y,
% 1.23/1.62 'tc_nat' ) ) ],
% 1.23/1.62 [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.23/1.62 , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y,
% 1.23/1.62 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_Numeral_Onumber__of'( Y,
% 1.23/1.62 'tc_nat' ), 'c_Numeral_Onumber__of'( X, 'tc_nat' ) ) ],
% 1.23/1.62 [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.23/1.62 , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'(
% 1.23/1.62 'c_Numeral_Obin__add'( Y, 'c_Numeral_Obin__minus'( X ) ),
% 1.23/1.62 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_IntDef_Oneg'(
% 1.23/1.62 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_Numeral_Onumber__of'( X,
% 1.23/1.62 'tc_nat' ) ) ],
% 1.23/1.62 [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.23/1.62 , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( Y
% 1.23/1.62 , 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =(
% 1.23/1.62 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y,
% 1.23/1.62 'tc_nat' ) ) ],
% 1.23/1.62 [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.23/1.62 , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( Y
% 1.23/1.62 , 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'(
% 1.23/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( X,
% 1.23/1.62 'c_Numeral_Obin__minus'( Y ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) )
% 1.23/1.62 , =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y,
% 1.23/1.62 'tc_nat' ) ) ],
% 1.23/1.62 [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ),
% 1.23/1.62 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.23/1.62 'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.23/1.62 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.23/1.62 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.23/1.62 'tc_IntDef_Oint' ) ), =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' )
% 1.23/1.62 ],
% 1.23/1.62 [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.23/1.62 , 'tc_IntDef_Oint' ) ), =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0'
% 1.23/1.62 ) ],
% 1.23/1.62 [ =( 'c_IntDef_Oint'( 'c_plus'( X, Y, 'tc_nat' ) ), 'c_plus'(
% 1.23/1.62 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ) ],
% 1.23/1.62 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.23/1.62 'tc_IntDef_Oint' ) ), =( 'c_IntDef_Oint'( 'c_Numeral_Onumber__of'( X,
% 1.23/1.62 'tc_nat' ) ), 'c_0' ) ],
% 1.23/1.62 [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.23/1.62 'tc_IntDef_Oint' ), =( 'c_IntDef_Oint'( 'c_Numeral_Onumber__of'( X,
% 1.23/1.62 'tc_nat' ) ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ) ) ],
% 1.23/1.62 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' )
% 1.23/1.62 ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__minus'( X
% 1.23/1.62 ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.23/1.62 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__minus'(
% 1.23/1.62 X ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_less'( 'c_0',
% 1.23/1.62 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ) ],
% 1.23/1.62 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.23/1.62 'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_nat' )
% 1.23/1.62 , 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), 'c_IntDef_Oneg'(
% 1.23/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__minus'( Y ), 'tc_IntDef_Oint' )
% 1.23/1.62 , 'tc_IntDef_Oint' ) ],
% 1.23/1.62 [ ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), 'c_IntDef_Oneg'(
% 1.23/1.62 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.23/1.62 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( X,
% 1.23/1.62 'c_Numeral_Obin__minus'( Y ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( X
% 1.23/1.62 , 'c_Numeral_Obin__minus'( Y ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' )
% 1.23/1.62 ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.23/1.62 'tc_IntDef_Oint' ), 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ],
% 1.23/1.62 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.23/1.62 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'(
% 1.23/1.62 'c_Numeral_Obin__minus'( Y ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ),
% 1.23/1.62 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'(
% 1.23/1.62 Y, 'tc_nat' ), 'tc_nat' ) ],
% 1.23/1.62 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( X
% 1.23/1.62 , 'c_Numeral_Obin__minus'( Y ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' )
% 1.23/1.62 ), ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__minus'(
% 1.23/1.62 Y ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_less'(
% 1.23/1.62 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y,
% 1.23/1.62 'tc_nat' ), 'tc_nat' ) ],
% 1.23/1.62 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.23/1.62 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X
% 1.23/1.62 , 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_0' )
% 1.23/1.62 ],
% 1.23/1.62 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.23/1.62 'tc_IntDef_Oint' ) ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y,
% 1.23/1.62 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_Divides_Oop_Amod'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_Numeral_Onumber__of'( X,
% 1.23/1.62 'tc_nat' ), 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ],
% 1.23/1.62 [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.23/1.62 'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y,
% 1.23/1.62 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_Divides_Oop_Amod'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_Numeral_Onumber__of'( X,
% 1.23/1.62 'tc_nat' ), 'tc_nat' ), 'c_IntDef_Onat'( 'c_Divides_Oop_Amod'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.23/1.62 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ) ],
% 1.23/1.62 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.23/1.62 'tc_IntDef_Oint' ) ), =( 'c_times'( 'c_Numeral_Onumber__of'( X, 'tc_nat'
% 1.23/1.62 ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_0' ) ],
% 1.23/1.62 [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.23/1.62 'tc_IntDef_Oint' ), =( 'c_times'( 'c_Numeral_Onumber__of'( X, 'tc_nat' )
% 1.23/1.62 , 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ),
% 1.23/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__mult'( X, Y ), 'tc_nat' ) ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ =( 'c_IntDef_Onat'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ) ),
% 1.23/1.62 'c_Numeral_Onumber__of'( X, 'tc_nat' ) ) ],
% 1.23/1.62 [ =( 'c_Numeral_Onumber__of'( 'c_Numeral_OPls', 'tc_nat' ), 'c_0' ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ =( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.23/1.62 'c_Numeral_Obit_OB1' ), 'tc_nat' ), 'c_1' ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =(
% 1.23/1.62 'c_NatArith_Oof__nat'( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0'
% 1.23/1.62 ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'c_IntDef_Oneg'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =(
% 1.23/1.62 'c_NatArith_Oof__nat'( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ),
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ) ) ],
% 1.23/1.62 [ =( 'c_div'( 'c_Suc'( 'c_0' ), 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.23/1.62 'tc_nat' ), 'c_IntDef_Onat'( 'c_div'( 'c_1', 'c_Numeral_Onumber__of'( X,
% 1.23/1.62 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ) ],
% 1.23/1.62 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.23/1.62 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 'c_Suc'( 'c_0' ),
% 1.23/1.62 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ), 'c_Suc'( 'c_0' ) ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.23/1.62 'tc_IntDef_Oint' ), =( 'c_Divides_Oop_Amod'( 'c_Suc'( 'c_0' ),
% 1.23/1.62 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ), 'c_IntDef_Onat'(
% 1.23/1.62 'c_Divides_Oop_Amod'( 'c_1', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.23/1.62 ), 'tc_IntDef_Oint' ) ) ) ],
% 1.23/1.62 [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( 'c_1',
% 1.23/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.23/1.62 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.23/1.62 'tc_nat' ), X ), 'c_1' ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~( 'class_Power_Orecpower'( X ) ),
% 1.23/1.62 =( 'c_Nat_Opower'( 'c_Numeral_Onumber__of'( Y, X ),
% 1.23/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.23/1.62 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.23/1.62 'tc_nat' ), X ), 'c_times'( 'c_Numeral_Onumber__of'( Y, X ),
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ), X ) ) ],
% 1.23/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( 'c_Nat_Opower'(
% 1.23/1.62 'c_uminus'( Y, X ), 'c_times'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.23/1.62 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.23/1.62 'c_Numeral_Obit_OB0' ), 'tc_nat' ), Z, 'tc_nat' ), X ), 'c_Nat_Opower'( Y
% 1.23/1.62 , 'c_times'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.23/1.62 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.23/1.62 'tc_nat' ), Z, 'tc_nat' ), X ) ) ],
% 1.23/1.62 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.23/1.62 'tc_IntDef_Oint' ) ), =( 'c_Nat_Opower'( 'c_Numeral_Onumber__of'( X,
% 1.23/1.62 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ),
% 1.23/1.62 'c_Nat_Opower'( 'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' )
% 1.23/1.62 ) ],
% 1.23/1.62 [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.23/1.62 'tc_IntDef_Oint' ), =( 'c_Nat_Opower'( 'c_Numeral_Onumber__of'( X,
% 1.23/1.62 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ),
% 1.23/1.62 'c_IntDef_Onat'( 'c_Nat_Opower'( 'c_Numeral_Onumber__of'( X,
% 1.23/1.62 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ),
% 1.23/1.62 'tc_IntDef_Oint' ) ) ) ],
% 1.23/1.62 [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( 'c_0',
% 1.23/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.23/1.62 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.23/1.62 'tc_nat' ), X ), 'c_0' ) ],
% 1.23/1.62 [ =( 'c_div'( 'c_Suc'( 'c_Suc'( 'c_Suc'( X ) ) ),
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_div'( 'c_plus'(
% 1.23/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.23/1.62 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB1' ),
% 1.23/1.62 'tc_nat' ), X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ),
% 1.23/1.62 'tc_nat' ) ) ],
% 1.23/1.62 [ =( 'c_Divides_Oop_Amod'( 'c_Suc'( 'c_Suc'( 'c_Suc'( X ) ) ),
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_Divides_Oop_Amod'(
% 1.23/1.62 'c_plus'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.23/1.62 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB1' ),
% 1.23/1.62 'tc_nat' ), X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ),
% 1.23/1.62 'tc_nat' ) ) ],
% 1.23/1.62 [ =( 'c_plus'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.23/1.62 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.23/1.62 'c_Numeral_Obit_OB0' ), 'tc_nat' ), X, 'tc_nat' ), 'c_Suc'( 'c_Suc'( X )
% 1.23/1.62 ) ) ],
% 1.23/1.62 [ =( 'c_plus'( X, 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.23/1.62 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.23/1.62 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ), 'c_Suc'( 'c_Suc'( X ) ) )
% 1.23/1.62 ],
% 1.23/1.62 [ =( 'c_div'( 'c_plus'( X, X, 'tc_nat' ), 'c_Numeral_Onumber__of'(
% 1.23/1.62 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.23/1.62 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ), X
% 1.23/1.62 ) ],
% 1.23/1.62 [ =( 'c_div'( 'c_Suc'( 'c_Suc'( X ) ), 'c_Numeral_Onumber__of'(
% 1.23/1.62 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.23/1.62 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ),
% 1.23/1.62 'c_Suc'( 'c_div'( X, 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.23/1.62 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.23/1.62 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ) ) ) ],
% 1.23/1.62 [ =( 'c_div'( X, 'c_Suc'( 'c_Suc'( 'c_Suc'( Y ) ) ), 'tc_nat' ), 'c_div'(
% 1.23/1.62 X, 'c_plus'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.23/1.62 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB1' ),
% 1.23/1.62 'tc_nat' ), Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_times'( 'c_divide'( Y,
% 1.23/1.62 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_Numeral_Onumber__of'( Z, X ), X
% 1.23/1.62 ) ), =( 'c_Numeral_Onumber__of'( Z, X ), 'c_0' ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_Numeral_Onumber__of'( Y
% 1.23/1.62 , X ), 'c_0' ) ), =( 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ), X )
% 1.23/1.62 , 'c_0' ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Numeral_Onumber__of'( Y, X
% 1.23/1.62 ), 'c_0' ), =( 'c_divide'( 'c_times'( Z, 'c_Numeral_Onumber__of'( Y, X )
% 1.23/1.62 , X ), 'c_Numeral_Onumber__of'( Y, X ), X ), Z ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_times'( 'c_0',
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'( Y, X ), X
% 1.23/1.62 ), 'c_0' ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'(
% 1.23/1.62 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ),
% 1.23/1.62 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ),
% 1.23/1.62 'c_lessequals'( 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'(
% 1.23/1.62 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ),
% 1.23/1.62 'c_lessequals'( 'c_0', Z, X ), 'c_lessequals'( 'c_0',
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'(
% 1.23/1.62 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ),
% 1.23/1.62 'c_lessequals'( Z, 'c_0', X ), 'c_lessequals'( 'c_Numeral_Onumber__of'( Y
% 1.23/1.62 , X ), 'c_0', X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'(
% 1.23/1.62 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ),
% 1.23/1.62 'c_lessequals'( Z, 'c_0', X ), 'c_lessequals'( 'c_0', Z, X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.23/1.62 'c_0', X ) ), ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ),
% 1.23/1.62 X ) ), 'c_lessequals'( 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X
% 1.23/1.62 ), 'c_0', X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.23/1.62 , Y, X ) ), ~( 'c_lessequals'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X
% 1.23/1.62 ) ), 'c_lessequals'( 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X )
% 1.23/1.62 , 'c_0', X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'( 'c_divide'( Z
% 1.23/1.62 , 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_lessequals'( Z,
% 1.23/1.62 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'(
% 1.23/1.62 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'(
% 1.23/1.62 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_lessequals'( 'c_times'( T
% 1.23/1.62 , 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'(
% 1.23/1.62 'c_divide'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), T, X ) ), 'c_less'(
% 1.23/1.62 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_less'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ), 'c_lessequals'( 'c_0', T, X
% 1.23/1.62 ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.23/1.62 , Y, X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ),
% 1.23/1.62 'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ), 'c_lessequals'(
% 1.23/1.62 'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X ), Y, X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'(
% 1.23/1.62 'c_times'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'(
% 1.23/1.62 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_lessequals'( 'c_divide'(
% 1.23/1.62 T, 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.23/1.62 , Y, X ) ), ~( 'c_lessequals'( 'c_times'( Y, 'c_Numeral_Onumber__of'( Z,
% 1.23/1.62 X ), X ), T, X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X )
% 1.23/1.62 , 'c_lessequals'( 'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X ), Y
% 1.23/1.62 , X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'( Z, 'c_times'(
% 1.23/1.62 T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_lessequals'(
% 1.23/1.62 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.23/1.62 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~(
% 1.23/1.62 'c_lessequals'( 'c_0', Z, X ) ), 'c_less'( 'c_Numeral_Onumber__of'( T, X
% 1.23/1.62 ), 'c_0', X ), 'c_lessequals'( 'c_divide'( Y, 'c_Numeral_Onumber__of'( T
% 1.23/1.62 , X ), X ), Z, X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( Z,
% 1.23/1.62 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), ~(
% 1.23/1.62 'c_lessequals'( 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X
% 1.23/1.62 ) ), 'c_lessequals'( 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ), X )
% 1.23/1.62 , T, X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.23/1.62 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~(
% 1.23/1.62 'c_lessequals'( 'c_0', Z, X ) ), ~( 'c_lessequals'( 'c_times'( Z,
% 1.23/1.62 'c_Numeral_Onumber__of'( T, X ), X ), Y, X ) ), 'c_lessequals'(
% 1.23/1.62 'c_divide'( Y, 'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ), 'c_less'( 'c_0',
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'( 'c_Numeral_Onumber__of'(
% 1.23/1.62 Y, X ), 'c_0', X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ), 'c_less'( 'c_0', Z
% 1.23/1.62 , X ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ), 'c_less'( Z, 'c_0'
% 1.23/1.62 , X ), 'c_less'( 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ), 'c_less'( Z, 'c_0'
% 1.23/1.62 , X ), 'c_less'( 'c_0', Z, X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.23/1.62 ) ), ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ) ),
% 1.23/1.62 'c_less'( 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X ), 'c_0', X )
% 1.23/1.62 ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.23/1.62 ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ),
% 1.23/1.62 'c_less'( 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X ), 'c_0', X )
% 1.23/1.62 ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_less'( 'c_divide'( Z,
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'( Z, 'c_times'( T
% 1.23/1.62 , 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_less'( 'c_divide'( Z
% 1.23/1.62 , 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'( 'c_0',
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'( 'c_times'( T,
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'(
% 1.23/1.62 Y, 'c_Numeral_Onumber__of'( Z, X ), X ), T, X ) ), 'c_less'( 'c_0', T, X
% 1.23/1.62 ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_less'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.23/1.62 ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_less'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ), 'c_less'( 'c_divide'( T,
% 1.23/1.62 'c_Numeral_Onumber__of'( Z, X ), X ), Y, X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_less'( 'c_times'( Z
% 1.23/1.62 , 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'( 'c_0',
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'( 'c_divide'( T,
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.23/1.62 ) ), ~( 'c_less'( 'c_times'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), T
% 1.23/1.62 , X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_less'(
% 1.23/1.62 'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X ), Y, X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.23/1.62 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'(
% 1.23/1.62 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ) ), 'c_less'( 'c_divide'( Y,
% 1.23/1.62 'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.23/1.62 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'(
% 1.23/1.62 'c_0', Z, X ) ), 'c_less'( 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ),
% 1.23/1.62 'c_less'( 'c_divide'( Y, 'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.23/1.62 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'(
% 1.23/1.62 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ), ~( 'c_less'( 'c_times'( Z
% 1.23/1.62 , 'c_Numeral_Onumber__of'( T, X ), X ), Y, X ) ), 'c_less'( 'c_divide'( Y
% 1.23/1.62 , 'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.23/1.62 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'(
% 1.23/1.62 'c_0', Z, X ) ), ~( 'c_less'( 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X
% 1.23/1.62 ), X ), Y, X ) ), 'c_less'( 'c_divide'( Y, 'c_Numeral_Onumber__of'( T, X
% 1.23/1.62 ), X ), Z, X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y,
% 1.23/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), X ), 'c_uminus'( Y, X ) )
% 1.23/1.62 ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Numeral_Onumber__of'( Y, X
% 1.23/1.62 ), 'c_0' ), =( 'c_times'( 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X )
% 1.23/1.62 , X ), 'c_Numeral_Onumber__of'( Y, X ), X ), Z ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_Numeral_Onumber__of'( Y
% 1.23/1.62 , X ), 'c_0' ) ), =( 'c_0', 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X
% 1.23/1.62 ), X ) ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_divide'( 'c_times'( Y,
% 1.23/1.62 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_Numeral_Onumber__of'( Z, X ), X
% 1.23/1.62 ) ), =( 'c_Numeral_Onumber__of'( Z, X ), 'c_0' ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_0', 'c_divide'( 'c_times'(
% 1.23/1.62 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'( Y,
% 1.23/1.62 X ), X ) ) ],
% 1.23/1.62 [ ~( 'class_HOL_Oone'( X ) ), ~( 'class_OrderedGroup_Oab__group__add'( X
% 1.23/1.62 ) ), ~( =( 'c_uminus'( Y, X ), 'c_1' ) ), =( Y, 'c_uminus'( 'c_1', X ) )
% 1.23/1.62 ],
% 1.23/1.62 [ ~( 'class_HOL_Oone'( X ) ), ~( 'class_OrderedGroup_Oab__group__add'( X
% 1.23/1.62 ) ), =( 'c_uminus'( 'c_uminus'( 'c_1', X ), X ), 'c_1' ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_uminus'( Z, X ) ) ), =( Z, 'c_uminus'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ), X ) ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_Numeral_Onumber__of'(
% 1.23/1.62 Y, X ), 'c_uminus'( 'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), X )
% 1.23/1.62 ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.23/1.62 ) ), 'c_less'( 'c_0', 'c_divide'( Y, 'c_Numeral_Onumber__of'(
% 1.23/1.62 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.23/1.62 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), X ), X ), X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~( 'class_Ring__and__Field_Ofield'(
% 1.23/1.62 X ) ), =( 'c_HOL_Oinverse'( 'c_Numeral_Onumber__of'( Y, X ), X ),
% 1.23/1.62 'c_divide'( 'c_1', 'c_Numeral_Onumber__of'( Y, X ), X ) ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'( Z, 'c_divide'(
% 1.23/1.62 T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_lessequals'( 'c_times'(
% 1.23/1.62 Z, 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( Z,
% 1.23/1.62 'c_divide'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_less'(
% 1.23/1.62 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_lessequals'( T, 'c_times'(
% 1.23/1.62 Z, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.23/1.62 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), 'c_less'(
% 1.23/1.62 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ), 'c_less'(
% 1.23/1.62 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ), 'c_lessequals'( Y, 'c_0', X
% 1.23/1.62 ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.23/1.62 'c_0', X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ),
% 1.23/1.62 'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ), 'c_lessequals'( Y
% 1.23/1.62 , 'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X ), X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( Z,
% 1.23/1.62 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_less'(
% 1.23/1.62 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_lessequals'( T,
% 1.23/1.62 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.23/1.62 'c_0', X ) ), ~( 'c_lessequals'( Z, 'c_times'( Y, 'c_Numeral_Onumber__of'(
% 1.23/1.62 T, X ), X ), X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X )
% 1.23/1.62 , 'c_lessequals'( Y, 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X )
% 1.23/1.62 , X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'( 'c_times'( Z,
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_lessequals'( Z,
% 1.23/1.62 'c_divide'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.23/1.62 'c_0', X ) ), ~( 'c_lessequals'( 'c_times'( Y, 'c_Numeral_Onumber__of'( Z
% 1.23/1.62 , X ), X ), T, X ) ), 'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X
% 1.23/1.62 ), 'c_lessequals'( Y, 'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X
% 1.23/1.62 ), X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( Z,
% 1.23/1.62 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), ~(
% 1.23/1.62 'c_lessequals'( 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X
% 1.23/1.62 ) ), 'c_lessequals'( T, 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ),
% 1.23/1.62 X ), X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.23/1.62 'c_0', X ) ), ~( 'c_lessequals'( Z, 'c_times'( Y, 'c_Numeral_Onumber__of'(
% 1.23/1.62 T, X ), X ), X ) ), ~( 'c_lessequals'( 'c_times'( Y,
% 1.23/1.62 'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ), 'c_lessequals'( Y,
% 1.23/1.62 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ],
% 1.23/1.62 [ ~( 'class_HOL_Oone'( X ) ), ~(
% 1.23/1.62 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'(
% 1.23/1.62 'c_1', 'c_uminus'( Y, X ), X ) ), 'c_lessequals'( Y, 'c_uminus'( 'c_1', X
% 1.23/1.62 ), X ) ],
% 1.23/1.62 [ ~( 'class_HOL_Oone'( X ) ), ~(
% 1.23/1.62 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'(
% 1.23/1.62 Y, 'c_uminus'( 'c_1', X ), X ) ), 'c_lessequals'( 'c_1', 'c_uminus'( Y, X
% 1.23/1.62 ), X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_uminus'( Z, X ), X ) ),
% 1.23/1.62 'c_lessequals'( Z, 'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), X )
% 1.23/1.62 ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'(
% 1.23/1.62 Y, 'c_uminus'( 'c_Numeral_Onumber__of'( Z, X ), X ), X ) ),
% 1.23/1.62 'c_lessequals'( 'c_Numeral_Onumber__of'( Z, X ), 'c_uminus'( Y, X ), X )
% 1.23/1.62 ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~( 'class_Ring__and__Field_Oring'(
% 1.23/1.62 X ) ), =( 'c_times'( 'c_minus'( Y, Z, X ), 'c_Numeral_Onumber__of'( T, X
% 1.23/1.62 ), X ), 'c_minus'( 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X ),
% 1.23/1.62 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Osemiring'( X ) ), =( 'c_times'( 'c_plus'( Y, Z,
% 1.23/1.62 X ), 'c_Numeral_Onumber__of'( T, X ), X ), 'c_plus'( 'c_times'( Y,
% 1.23/1.62 'c_Numeral_Onumber__of'( T, X ), X ), 'c_times'( Z,
% 1.23/1.62 'c_Numeral_Onumber__of'( T, X ), X ), X ) ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.23/1.62 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'(
% 1.23/1.62 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ) ), 'c_less'( 'c_times'( Y,
% 1.23/1.62 'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.23/1.62 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'(
% 1.23/1.62 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ), 'c_less'( Z, 'c_times'( Y
% 1.23/1.62 , 'c_Numeral_Onumber__of'( T, X ), X ), X ), 'c_less'( 'c_0',
% 1.23/1.62 'c_Numeral_Onumber__of'( T, X ), X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.23/1.62 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), 'c_less'( Y,
% 1.23/1.62 'c_0', X ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ),
% 1.23/1.62 'c_less'( 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.23/1.62 ) ), 'c_less'( Y, 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X
% 1.23/1.62 ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ), 'c_less'(
% 1.23/1.62 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.23/1.62 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'(
% 1.23/1.62 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ), 'c_less'( Z, 'c_divide'( Y
% 1.23/1.62 , 'c_Numeral_Onumber__of'( T, X ), X ), X ), 'c_less'( 'c_0',
% 1.23/1.62 'c_Numeral_Onumber__of'( T, X ), X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.23/1.62 ) ), ~( 'c_less'( Z, 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X )
% 1.23/1.62 , X ) ), 'c_less'( Y, 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X )
% 1.23/1.62 , X ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_less'( 'c_times'( Z,
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'( Z, 'c_divide'(
% 1.23/1.62 T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.23/1.62 ) ), ~( 'c_less'( 'c_times'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), T
% 1.23/1.62 , X ) ), 'c_less'( Y, 'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X )
% 1.23/1.62 , X ), 'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.23/1.62 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'(
% 1.23/1.62 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ), ~( 'c_less'( 'c_times'( Z
% 1.23/1.62 , 'c_Numeral_Onumber__of'( T, X ), X ), Y, X ) ), 'c_less'( Z, 'c_divide'(
% 1.23/1.62 Y, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.23/1.62 ) ), ~( 'c_less'( Z, 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X )
% 1.23/1.62 , X ) ), ~( 'c_less'( 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X )
% 1.23/1.62 , Z, X ) ), 'c_less'( Y, 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ),
% 1.23/1.62 X ), X ) ],
% 1.23/1.62 [ ~( 'class_HOL_Oone'( X ) ), ~(
% 1.23/1.62 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( 'c_1'
% 1.23/1.62 , 'c_uminus'( Y, X ), X ) ), 'c_less'( Y, 'c_uminus'( 'c_1', X ), X ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( 'class_HOL_Oone'( X ) ), ~(
% 1.23/1.62 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( Y,
% 1.23/1.62 'c_uminus'( 'c_1', X ), X ) ), 'c_less'( 'c_1', 'c_uminus'( Y, X ), X ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_uminus'( Z, X ), X ) ), 'c_less'( Z,
% 1.23/1.62 'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( Y,
% 1.23/1.62 'c_uminus'( 'c_Numeral_Onumber__of'( Z, X ), X ), X ) ), 'c_less'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Z, X ), 'c_uminus'( Y, X ), X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'(
% 1.23/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), Y, X ), 'c_uminus'(
% 1.23/1.62 'c_divide'( 'c_1', Y, X ), X ) ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 'c_uminus'( Y, X ),
% 1.23/1.62 'c_Numeral_Onumber__of'( Z, X ) ) ), =( 'c_uminus'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Z, X ), X ), Y ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_uminus'( 'c_uminus'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ), X ), X ), 'c_Numeral_Onumber__of'( Y, X
% 1.23/1.62 ) ) ],
% 1.23/1.62 [ ~( 'class_HOL_Oone'( X ) ), ~(
% 1.23/1.62 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'(
% 1.23/1.62 'c_uminus'( Y, X ), 'c_1', X ) ), 'c_lessequals'( 'c_uminus'( 'c_1', X )
% 1.23/1.62 , Y, X ) ],
% 1.23/1.62 [ ~( 'class_HOL_Oone'( X ) ), ~(
% 1.23/1.62 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'(
% 1.23/1.62 'c_uminus'( 'c_1', X ), Y, X ) ), 'c_lessequals'( 'c_uminus'( Y, X ),
% 1.23/1.62 'c_1', X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'(
% 1.23/1.62 'c_uminus'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ) ),
% 1.23/1.62 'c_lessequals'( 'c_uminus'( 'c_Numeral_Onumber__of'( Z, X ), X ), Y, X )
% 1.23/1.62 ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'(
% 1.23/1.62 'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ),
% 1.23/1.62 'c_lessequals'( 'c_uminus'( Z, X ), 'c_Numeral_Onumber__of'( Y, X ), X )
% 1.23/1.62 ],
% 1.23/1.62 [ ~( 'class_HOL_Oone'( X ) ), ~(
% 1.23/1.62 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.23/1.62 'c_uminus'( Y, X ), 'c_1', X ) ), 'c_less'( 'c_uminus'( 'c_1', X ), Y, X
% 1.23/1.62 ) ],
% 1.23/1.62 [ ~( 'class_HOL_Oone'( X ) ), ~(
% 1.23/1.62 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.23/1.62 'c_uminus'( 'c_1', X ), Y, X ) ), 'c_less'( 'c_uminus'( Y, X ), 'c_1', X
% 1.23/1.62 ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.23/1.62 'c_uminus'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ) ), 'c_less'(
% 1.23/1.62 'c_uminus'( 'c_Numeral_Onumber__of'( Z, X ), X ), Y, X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.23/1.62 'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ), 'c_less'(
% 1.23/1.62 'c_uminus'( Z, X ), 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.23/1.62 [ =( 'c_Divides_Oop_Amod'( 'c_Suc'( 'c_Suc'( X ) ),
% 1.23/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.23/1.62 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.23/1.62 'tc_nat' ), 'tc_nat' ), 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'(
% 1.23/1.62 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.23/1.62 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ) )
% 1.23/1.62 ],
% 1.23/1.62 [ ~( 'c_less'( 'c_0', 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'(
% 1.23/1.62 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.23/1.62 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ),
% 1.23/1.62 'tc_nat' ) ), =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'(
% 1.23/1.62 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.23/1.62 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ),
% 1.23/1.62 'c_1' ) ],
% 1.23/1.62 [ ~( =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'(
% 1.23/1.62 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.23/1.62 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ),
% 1.23/1.62 'c_1' ) ), 'c_less'( 'c_0', 'c_Divides_Oop_Amod'( X,
% 1.23/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.23/1.62 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.23/1.62 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ],
% 1.23/1.62 [ =( 'c_Divides_Oop_Amod'( X, 'c_Suc'( 'c_Suc'( 'c_Suc'( Y ) ) ),
% 1.23/1.62 'tc_nat' ), 'c_Divides_Oop_Amod'( X, 'c_plus'( 'c_Numeral_Onumber__of'(
% 1.23/1.62 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.23/1.62 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB1' ), 'tc_nat' ), Y, 'tc_nat' )
% 1.23/1.62 , 'tc_nat' ) ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'(
% 1.23/1.62 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'(
% 1.23/1.62 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ), 'c_lessequals'( Z, T, X )
% 1.23/1.62 ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'(
% 1.23/1.62 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ), 'c_lessequals'( T, Z, X )
% 1.23/1.62 ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 'c_less'( 'c_0',
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'( 'c_Numeral_Onumber__of'(
% 1.23/1.62 Y, X ), 'c_0', X ), 'c_lessequals'( 'c_times'( 'c_Numeral_Onumber__of'( Y
% 1.23/1.62 , X ), Z, X ), 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'(
% 1.23/1.62 Y, Z, X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ),
% 1.23/1.62 'c_lessequals'( 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Z, X ),
% 1.23/1.62 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Y, X ), X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'(
% 1.23/1.62 Y, Z, X ) ), 'c_less'( 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ),
% 1.23/1.62 'c_lessequals'( 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Y, X ),
% 1.23/1.62 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Z, X ), X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'(
% 1.23/1.62 Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ), 'c_lessequals'( 'c_times'(
% 1.23/1.62 'c_Numeral_Onumber__of'( T, X ), Z, X ), 'c_times'(
% 1.23/1.62 'c_Numeral_Onumber__of'( T, X ), Y, X ), X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'(
% 1.23/1.62 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'(
% 1.23/1.62 'c_times'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_times'( T,
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_lessequals'( Z, T, X ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'(
% 1.23/1.62 'c_times'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_times'( T,
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_lessequals'( T, Z, X ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 'c_less'( 'c_0',
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'( 'c_Numeral_Onumber__of'(
% 1.23/1.62 Y, X ), 'c_0', X ), 'c_lessequals'( 'c_times'( Z, 'c_Numeral_Onumber__of'(
% 1.23/1.62 Y, X ), X ), 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'(
% 1.23/1.62 Y, Z, X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ),
% 1.23/1.62 'c_lessequals'( 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ),
% 1.23/1.62 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'(
% 1.23/1.62 Y, Z, X ) ), 'c_less'( 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ),
% 1.23/1.62 'c_lessequals'( 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X ),
% 1.23/1.62 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'(
% 1.23/1.62 Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ), 'c_lessequals'( 'c_times'( Z
% 1.23/1.62 , 'c_Numeral_Onumber__of'( T, X ), X ), 'c_times'( Y,
% 1.23/1.62 'c_Numeral_Onumber__of'( T, X ), X ), X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'(
% 1.23/1.62 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ), ~( 'c_lessequals'( 'c_0'
% 1.23/1.62 , 'c_Numeral_Onumber__of'( Y, X ), X ) ), 'c_less'( Z, T, X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'(
% 1.23/1.62 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ), ~( 'c_lessequals'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), 'c_less'( T, Z, X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 'c_less'(
% 1.23/1.62 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ), 'c_lessequals'( 'c_0',
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_lessequals'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.23/1.62 , X ) ), 'c_less'( 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Z, X ),
% 1.23/1.62 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Y, X ), X ), 'c_lessequals'(
% 1.23/1.62 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.23/1.62 , X ) ), 'c_less'( 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Y, X ),
% 1.23/1.62 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Z, X ), X ), 'c_lessequals'(
% 1.23/1.62 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.23/1.62 , X ) ), ~( 'c_less'( Z, Y, X ) ), 'c_less'( 'c_times'(
% 1.23/1.62 'c_Numeral_Onumber__of'( T, X ), Z, X ), 'c_times'(
% 1.23/1.62 'c_Numeral_Onumber__of'( T, X ), Y, X ), X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'(
% 1.23/1.62 'c_times'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_times'( T,
% 1.23/1.62 'c_Numeral_Onumber__of'( Z, X ), X ), X ) ), ~( 'c_lessequals'( 'c_0',
% 1.23/1.62 'c_Numeral_Onumber__of'( Z, X ), X ) ), 'c_less'( Y, T, X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'(
% 1.23/1.62 'c_times'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_times'( T,
% 1.23/1.62 'c_Numeral_Onumber__of'( Z, X ), X ), X ) ), ~( 'c_lessequals'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ), 'c_less'( T, Y, X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 'c_less'(
% 1.23/1.62 'c_times'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_times'( T,
% 1.23/1.62 'c_Numeral_Onumber__of'( Z, X ), X ), X ), 'c_lessequals'( 'c_0',
% 1.23/1.62 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_lessequals'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.23/1.62 , X ) ), 'c_less'( 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ),
% 1.23/1.62 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X ), X ), 'c_lessequals'(
% 1.23/1.62 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.23/1.62 , X ) ), 'c_less'( 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X ),
% 1.23/1.62 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ), 'c_lessequals'(
% 1.23/1.62 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.23/1.62 , X ) ), ~( 'c_less'( Z, Y, X ) ), 'c_less'( 'c_times'( Z,
% 1.23/1.62 'c_Numeral_Onumber__of'( T, X ), X ), 'c_times'( Y,
% 1.23/1.62 'c_Numeral_Onumber__of'( T, X ), X ), X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~( 'class_Ring__and__Field_Oring'(
% 1.23/1.62 X ) ), =( 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), 'c_minus'( Z, T, X
% 1.23/1.62 ), X ), 'c_minus'( 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ),
% 1.23/1.62 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Osemiring'( X ) ), =( 'c_times'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_plus'( Z, T, X ), X ), 'c_plus'(
% 1.23/1.62 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.23/1.62 , 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ),
% 1.23/1.62 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ),
% 1.23/1.62 'c_lessequals'( 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.23/1.62 , 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ),
% 1.23/1.62 'c_lessequals'( Z, 'c_0', X ), 'c_lessequals'( 'c_0',
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.23/1.62 , 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ),
% 1.23/1.62 'c_lessequals'( 'c_0', Z, X ), 'c_lessequals'( 'c_Numeral_Onumber__of'( Y
% 1.23/1.62 , X ), 'c_0', X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.23/1.62 , 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ),
% 1.23/1.62 'c_lessequals'( Z, 'c_0', X ), 'c_lessequals'( 'c_0', Z, X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.23/1.62 , Y, X ) ), ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X
% 1.23/1.62 ) ), 'c_lessequals'( 'c_0', 'c_divide'( 'c_Numeral_Onumber__of'( Z, X )
% 1.23/1.62 , Y, X ), X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.23/1.62 'c_0', X ) ), ~( 'c_lessequals'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0',
% 1.23/1.62 X ) ), 'c_lessequals'( 'c_0', 'c_divide'( 'c_Numeral_Onumber__of'( Z, X )
% 1.23/1.62 , Y, X ), X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.23/1.62 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 'c_less'(
% 1.23/1.62 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.23/1.62 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 'c_less'( Z,
% 1.23/1.62 'c_0', X ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.23/1.62 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 'c_less'(
% 1.23/1.62 'c_0', Z, X ), 'c_less'( 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.23/1.62 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 'c_less'( Z,
% 1.23/1.62 'c_0', X ), 'c_less'( 'c_0', Z, X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.23/1.62 ) ), ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ) ),
% 1.23/1.62 'c_less'( 'c_0', 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X ), X )
% 1.23/1.62 ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.23/1.62 ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ),
% 1.23/1.62 'c_less'( 'c_0', 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X ), X )
% 1.23/1.62 ],
% 1.23/1.62 [ =( 'c_1', 'c_Suc'( 'c_0' ) ) ],
% 1.23/1.62 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 1.23/1.62 [ =( 'c_minus'( 'c_minus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'( Z ),
% 1.23/1.62 'tc_nat' ), 'c_minus'( 'c_minus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ) ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ),
% 1.23/1.62 'c_lessequals'( X, Y, 'tc_nat' ) ],
% 1.23/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 'c_Suc'( X ),
% 1.23/1.62 'c_Suc'( Y ), 'tc_nat' ) ],
% 1.23/1.62 [ ~( 'c_less'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ), 'c_less'( X, Y
% 1.23/1.62 , 'tc_nat' ) ],
% 1.23/1.62 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 'c_Suc'( X ), 'c_Suc'( Y )
% 1.23/1.62 , 'tc_nat' ) ],
% 1.23/1.62 [ ~( =( 'c_Suc'( X ), 'c_0' ) ) ],
% 1.23/1.62 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_Suc'( 'c_minus'( X, 'c_Suc'(
% 1.23/1.62 'c_0' ), 'tc_nat' ) ), X ) ],
% 1.23/1.62 [ ~( =( 'c_0', 'c_Suc'( X ) ) ) ],
% 1.23/1.62 [ =( 'c_plus'( X, 'c_0', 'tc_nat' ), X ) ],
% 1.23/1.62 [ =( 'c_plus'( X, 'c_Suc'( Y ), 'tc_nat' ), 'c_Suc'( 'c_plus'( X, Y,
% 1.23/1.62 'tc_nat' ) ) ) ],
% 1.23/1.62 [ ~( 'c_less'( 'c_0', 'c_plus'( X, Y, 'tc_nat' ), 'tc_nat' ) ), 'c_less'(
% 1.23/1.62 'c_0', Y, 'tc_nat' ), 'c_less'( 'c_0', X, 'tc_nat' ) ],
% 1.23/1.62 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_plus'( X, Y,
% 1.23/1.62 'tc_nat' ), 'tc_nat' ) ],
% 1.23/1.62 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_plus'( Y, X,
% 1.23/1.62 'tc_nat' ), 'tc_nat' ) ],
% 1.23/1.62 [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_0' ) ), =( X, 'c_0' ) ],
% 1.23/1.62 [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.23/1.62 [ =( 'c_plus'( 'c_0', 'c_0', 'tc_nat' ), 'c_0' ) ],
% 1.23/1.62 [ =( 'c_minus'( 'c_0', X, 'tc_nat' ), 'c_0' ) ],
% 1.23/1.62 [ =( 'c_minus'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), 'c_minus'( X, Y
% 1.23/1.62 , 'tc_nat' ) ) ],
% 1.23/1.62 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_minus'( X, 'c_Suc'(
% 1.23/1.62 Y ), 'tc_nat' ), X, 'tc_nat' ) ],
% 1.23/1.62 [ =( 'c_minus'( 'c_minus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ), 'c_minus'( X
% 1.23/1.62 , 'c_plus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.23/1.62 [ ~( =( 'c_minus'( X, Y, 'tc_nat' ), 'c_0' ) ), 'c_lessequals'( X, Y,
% 1.23/1.62 'tc_nat' ) ],
% 1.23/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_minus'( X, Y, 'tc_nat' )
% 1.23/1.62 , 'c_0' ) ],
% 1.23/1.62 [ 'c_lessequals'( 'c_minus'( X, Y, 'tc_nat' ), X, 'tc_nat' ) ],
% 1.23/1.62 [ =( 'c_minus'( X, X, 'tc_nat' ), 'c_0' ) ],
% 1.23/1.62 [ ~( 'c_lessequals'( X, 'c_0', 'tc_nat' ) ), =( X, 'c_0' ) ],
% 1.23/1.62 [ 'c_lessequals'( 'c_0', 'c_0', 'tc_nat' ) ],
% 1.23/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_plus'( 'c_minus'( Y, X,
% 1.23/1.62 'tc_nat' ), X, 'tc_nat' ), Y ) ],
% 1.23/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_plus'( X, 'c_minus'( Y, X
% 1.23/1.62 , 'tc_nat' ), 'tc_nat' ), Y ) ],
% 1.23/1.62 [ ~( 'c_less'( X, 'c_Suc'( 'c_0' ), 'tc_nat' ) ), =( X, 'c_0' ) ],
% 1.23/1.62 [ 'c_less'( 'c_0', 'c_Suc'( 'c_0' ), 'tc_nat' ) ],
% 1.23/1.62 [ ~( 'c_less'( X, 'c_1', 'tc_nat' ) ), =( X, 'c_0' ) ],
% 1.23/1.62 [ 'c_less'( 'c_0', 'c_1', 'tc_nat' ) ],
% 1.23/1.62 [ =( 'c_Orderings_Omax'( 'c_0', X, 'tc_nat' ), X ) ],
% 1.23/1.62 [ =( 'c_Orderings_Omax'( X, 'c_0', 'tc_nat' ), X ) ],
% 1.23/1.62 [ =( 'c_Orderings_Omax'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), 'c_Suc'(
% 1.23/1.62 'c_Orderings_Omax'( X, Y, 'tc_nat' ) ) ) ],
% 1.23/1.62 [ =( 'c_Orderings_Omin'( 'c_0', X, 'tc_nat' ), 'c_0' ) ],
% 1.23/1.62 [ =( 'c_Orderings_Omin'( X, 'c_0', 'tc_nat' ), 'c_0' ) ],
% 1.23/1.62 [ =( 'c_Orderings_Omin'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), 'c_Suc'(
% 1.23/1.62 'c_Orderings_Omin'( X, Y, 'tc_nat' ) ) ) ],
% 1.23/1.62 [ =( 'c_times'( X, 'c_0', 'tc_nat' ), 'c_0' ) ],
% 1.23/1.62 [ =( 'c_times'( X, 'c_Suc'( Y ), 'tc_nat' ), 'c_plus'( X, 'c_times'( X,
% 1.23/1.62 Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.23/1.62 [ ~( =( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( X, Z, 'tc_nat' ) ) ),
% 1.23/1.62 =( Y, Z ), =( X, 'c_0' ) ],
% 1.23/1.62 [ =( 'c_times'( 'c_0', X, 'tc_nat' ), 'c_times'( 'c_0', Y, 'tc_nat' ) )
% 1.23/1.62 ],
% 1.23/1.62 [ ~( =( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( Z, Y, 'tc_nat' ) ) ),
% 1.23/1.62 =( X, Z ), =( Y, 'c_0' ) ],
% 1.23/1.62 [ =( 'c_times'( X, 'c_0', 'tc_nat' ), 'c_times'( Y, 'c_0', 'tc_nat' ) )
% 1.23/1.62 ],
% 1.23/1.62 [ ~( =( 'c_times'( X, Y, 'tc_nat' ), 'c_Suc'( 'c_0' ) ) ), =( X, 'c_1' )
% 1.23/1.62 ],
% 1.23/1.62 [ ~( =( 'c_times'( X, Y, 'tc_nat' ), 'c_Suc'( 'c_0' ) ) ), =( Y, 'c_1' )
% 1.23/1.62 ],
% 1.23/1.62 [ =( 'c_times'( 'c_1', 'c_1', 'tc_nat' ), 'c_Suc'( 'c_0' ) ) ],
% 1.23/1.62 [ ~( =( 'c_times'( X, Y, 'tc_nat' ), 'c_0' ) ), =( Y, 'c_0' ), =( X,
% 1.23/1.62 'c_0' ) ],
% 1.23/1.62 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_times'( X,
% 1.23/1.62 Y, 'tc_nat' ), 'c_times'( X, Z, 'tc_nat' ), 'tc_nat' ) ), 'c_lessequals'(
% 1.23/1.62 Y, Z, 'tc_nat' ) ],
% 1.23/1.62 [ 'c_less'( 'c_0', X, 'tc_nat' ), 'c_lessequals'( 'c_times'( X, Y,
% 1.23/1.62 'tc_nat' ), 'c_times'( X, Z, 'tc_nat' ), 'tc_nat' ) ],
% 1.23/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 'c_times'( Z, X
% 1.23/1.62 , 'tc_nat' ), 'c_times'( Z, Y, 'tc_nat' ), 'tc_nat' ) ],
% 1.23/1.62 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_times'( Y,
% 1.23/1.62 X, 'tc_nat' ), 'c_times'( Z, X, 'tc_nat' ), 'tc_nat' ) ), 'c_lessequals'(
% 1.23/1.62 Y, Z, 'tc_nat' ) ],
% 1.23/1.62 [ 'c_less'( 'c_0', X, 'tc_nat' ), 'c_lessequals'( 'c_times'( Y, X,
% 1.23/1.62 'tc_nat' ), 'c_times'( Z, X, 'tc_nat' ), 'tc_nat' ) ],
% 1.23/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 'c_times'( X, Z
% 1.23/1.62 , 'tc_nat' ), 'c_times'( Y, Z, 'tc_nat' ), 'tc_nat' ) ],
% 1.23/1.62 [ ~( 'c_less'( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( X, Z, 'tc_nat' )
% 1.23/1.62 , 'tc_nat' ) ), 'c_less'( 'c_0', X, 'tc_nat' ) ],
% 1.23/1.62 [ ~( 'c_less'( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( X, Z, 'tc_nat' )
% 1.23/1.62 , 'tc_nat' ) ), 'c_less'( Y, Z, 'tc_nat' ) ],
% 1.23/1.62 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), ~( 'c_less'( 'c_0', Z, 'tc_nat' ) ),
% 1.23/1.62 'c_less'( 'c_times'( Z, X, 'tc_nat' ), 'c_times'( Z, Y, 'tc_nat' ),
% 1.23/1.62 'tc_nat' ) ],
% 1.23/1.62 [ ~( 'c_less'( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( Z, Y, 'tc_nat' )
% 1.23/1.62 , 'tc_nat' ) ), 'c_less'( 'c_0', Y, 'tc_nat' ) ],
% 1.23/1.62 [ ~( 'c_less'( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( Z, Y, 'tc_nat' )
% 1.23/1.62 , 'tc_nat' ) ), 'c_less'( X, Z, 'tc_nat' ) ],
% 1.23/1.62 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), ~( 'c_less'( 'c_0', Z, 'tc_nat' ) ),
% 1.23/1.62 'c_less'( 'c_times'( X, Z, 'tc_nat' ), 'c_times'( Y, Z, 'tc_nat' ),
% 1.23/1.62 'tc_nat' ) ],
% 1.23/1.62 [ ~( 'c_less'( 'c_0', 'c_times'( X, Y, 'tc_nat' ), 'tc_nat' ) ),
% 1.23/1.62 'c_less'( 'c_0', X, 'tc_nat' ) ],
% 1.23/1.62 [ ~( 'c_less'( 'c_0', 'c_times'( X, Y, 'tc_nat' ), 'tc_nat' ) ),
% 1.23/1.62 'c_less'( 'c_0', Y, 'tc_nat' ) ],
% 1.23/1.62 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), ~( 'c_less'( 'c_0', Y, 'tc_nat' )
% 1.23/1.62 ), 'c_less'( 'c_0', 'c_times'( Y, X, 'tc_nat' ), 'tc_nat' ) ],
% 1.23/1.62 [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_plus'( X, Z, 'tc_nat' ) ) ), =( Y
% 1.23/1.62 , Z ) ],
% 1.23/1.62 [ ~( 'c_lessequals'( 'c_plus'( X, Y, 'tc_nat' ), 'c_plus'( X, Z,
% 1.23/1.62 'tc_nat' ), 'tc_nat' ) ), 'c_lessequals'( Y, Z, 'tc_nat' ) ],
% 1.23/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 'c_plus'( Z, X
% 1.23/1.62 , 'tc_nat' ), 'c_plus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ],
% 1.23/1.62 [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), 'c_plus'( X, Z, 'tc_nat' ),
% 1.23/1.62 'tc_nat' ) ), 'c_less'( Y, Z, 'tc_nat' ) ],
% 1.23/1.62 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 'c_plus'( Z, X, 'tc_nat' )
% 1.23/1.62 , 'c_plus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ],
% 1.23/1.62 [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_plus'( Z, Y, 'tc_nat' ) ) ), =( X
% 1.23/1.62 , Z ) ],
% 1.23/1.62 [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.23/1.62 [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.23/1.62 [ 'c_less'( 'c_0', X, 'tc_nat' ), =( X, 'c_0' ) ],
% 1.23/1.62 [ ~( 'c_less'( 'c_0', 'c_0', 'tc_nat' ) ) ],
% 1.23/1.62 [ ~( 'c_less'( X, 'c_0', 'tc_nat' ) ) ],
% 1.23/1.62 [ ~( =( 'c_Suc'( 'c_0' ), 'c_times'( X, Y, 'tc_nat' ) ) ), =( X, 'c_1' )
% 1.23/1.62 ],
% 1.23/1.62 [ ~( =( 'c_Suc'( 'c_0' ), 'c_times'( X, Y, 'tc_nat' ) ) ), =( Y, 'c_1' )
% 1.23/1.62 ],
% 1.23/1.62 [ =( 'c_Suc'( 'c_0' ), 'c_times'( 'c_1', 'c_1', 'tc_nat' ) ) ],
% 1.23/1.62 [ ~( 'c_lessequals'( 'c_Suc'( 'c_0' ), 'c_times'( X, Y, 'tc_nat' ),
% 1.23/1.62 'tc_nat' ) ), 'c_lessequals'( 'c_1', X, 'tc_nat' ) ],
% 1.23/1.62 [ ~( 'c_lessequals'( 'c_Suc'( 'c_0' ), 'c_times'( X, Y, 'tc_nat' ),
% 1.23/1.62 'tc_nat' ) ), 'c_lessequals'( 'c_1', Y, 'tc_nat' ) ],
% 1.23/1.62 [ ~( 'c_lessequals'( 'c_1', X, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_1', Y
% 1.23/1.62 , 'tc_nat' ) ), 'c_lessequals'( 'c_Suc'( 'c_0' ), 'c_times'( Y, X,
% 1.23/1.62 'tc_nat' ), 'tc_nat' ) ],
% 1.23/1.62 [ =( 'c_times'( 'c_0', X, 'tc_nat' ), 'c_0' ) ],
% 1.23/1.62 [ =( 'c_times'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_plus'( Y, 'c_times'( X,
% 1.23/1.62 Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.23/1.62 [ =( 'c_plus'( 'c_0', X, 'tc_nat' ), X ) ],
% 1.23/1.62 [ =( 'c_plus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'( 'c_plus'( X, Y,
% 1.23/1.62 'tc_nat' ) ) ) ],
% 1.23/1.62 [ =( 'c_minus'( X, 'c_0', 'tc_nat' ), X ) ],
% 1.23/1.62 [ ~( 'c_less'( 'c_0', 'c_minus'( X, Y, 'tc_nat' ), 'tc_nat' ) ),
% 1.23/1.62 'c_less'( Y, X, 'tc_nat' ) ],
% 1.23/1.62 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_minus'( Y, X,
% 1.23/1.62 'tc_nat' ), 'tc_nat' ) ],
% 1.23/1.62 [ =( 'c_Numeral_OBit'( 'c_Numeral_OMin', 'c_Numeral_Obit_OB1' ),
% 1.23/1.62 'c_Numeral_OMin' ) ],
% 1.23/1.62 [ =( 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB0' ),
% 1.23/1.62 'c_Numeral_OPls' ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_minus'( Z, 'c_Numeral_Onumber__of'( T
% 1.23/1.62 , X ), X ), X ), 'c_plus'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'(
% 1.23/1.62 Y, 'c_Numeral_Obin__minus'( T ) ), X ), Z, X ) ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_plus'( 'c_Numeral_Onumber__of'( Z, X
% 1.23/1.62 ), T, X ), X ), 'c_plus'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'(
% 1.23/1.62 Y, Z ), X ), T, X ) ) ],
% 1.23/1.62 [ =( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' )
% 1.23/1.62 , 'c_Numeral_OBit'( Y, Z ) ), 'c_Numeral_OBit'( 'c_Numeral_Obin__add'( X
% 1.23/1.62 , Y ), Z ) ) ],
% 1.23/1.62 [ =( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB1' )
% 1.23/1.62 , 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB0' ) ), 'c_Numeral_OBit'(
% 1.23/1.62 'c_Numeral_Obin__add'( X, Y ), 'c_Numeral_Obit_OB1' ) ) ],
% 1.23/1.62 [ =( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB1' )
% 1.23/1.62 , 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB1' ) ), 'c_Numeral_OBit'(
% 1.23/1.62 'c_Numeral_Obin__add'( X, 'c_Numeral_Obin__succ'( Y ) ),
% 1.23/1.62 'c_Numeral_Obit_OB0' ) ) ],
% 1.23/1.62 [ =( 'c_Numeral_Obin__add'( 'c_Numeral_OMin', X ),
% 1.23/1.62 'c_Numeral_Obin__pred'( X ) ) ],
% 1.23/1.62 [ =( 'c_Numeral_Obin__add'( X, 'c_Numeral_OMin' ),
% 1.23/1.62 'c_Numeral_Obin__pred'( X ) ) ],
% 1.23/1.62 [ =( 'c_Numeral_Obin__add'( 'c_Numeral_OPls', X ), X ) ],
% 1.23/1.62 [ =( 'c_Numeral_Obin__add'( X, 'c_Numeral_OPls' ), X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ),
% 1.23/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, Z ), X ) ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_uminus'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'(
% 1.23/1.62 'c_Numeral_Obin__minus'( Y ), X ) ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_uminus'( 'c_1', X ),
% 1.23/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ) ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_times'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ),
% 1.23/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__mult'( Y, Z ), X ) ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_minus'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ),
% 1.23/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.23/1.62 'c_Numeral_Obin__minus'( Z ) ), X ) ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), =( 'c_HOL_Oabs'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_uminus'( 'c_Numeral_Onumber__of'(
% 1.23/1.62 Y, X ), X ) ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_less'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ), =( 'c_HOL_Oabs'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'( Y, X ) ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ =( 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0'
% 1.23/1.62 ) ), 'c_Numeral_OBit'( 'c_Numeral_Obin__minus'( X ),
% 1.23/1.62 'c_Numeral_Obit_OB0' ) ) ],
% 1.23/1.62 [ =( 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB1'
% 1.23/1.62 ) ), 'c_Numeral_OBit'( 'c_Numeral_Obin__pred'( 'c_Numeral_Obin__minus'(
% 1.23/1.62 X ) ), 'c_Numeral_Obit_OB1' ) ) ],
% 1.23/1.62 [ =( 'c_Numeral_Obin__minus'( 'c_Numeral_OMin' ), 'c_Numeral_OBit'(
% 1.23/1.62 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ) ) ],
% 1.23/1.62 [ =( 'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ), 'c_Numeral_OPls' ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ =( 'c_Numeral_Obin__mult'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' )
% 1.23/1.62 , Y ), 'c_Numeral_OBit'( 'c_Numeral_Obin__mult'( X, Y ),
% 1.23/1.62 'c_Numeral_Obit_OB0' ) ) ],
% 1.23/1.62 [ =( 'c_Numeral_Obin__mult'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB1' )
% 1.23/1.62 , Y ), 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( 'c_Numeral_Obin__mult'( X
% 1.23/1.62 , Y ), 'c_Numeral_Obit_OB0' ), Y ) ) ],
% 1.23/1.62 [ =( 'c_Numeral_Obin__mult'( 'c_Numeral_OMin', X ),
% 1.23/1.62 'c_Numeral_Obin__minus'( X ) ) ],
% 1.23/1.62 [ =( 'c_Numeral_Obin__mult'( 'c_Numeral_OPls', X ), 'c_Numeral_OPls' ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ =( 'c_Numeral_Obin__pred'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' )
% 1.23/1.62 ), 'c_Numeral_OBit'( 'c_Numeral_Obin__pred'( X ), 'c_Numeral_Obit_OB1' )
% 1.23/1.62 ) ],
% 1.23/1.62 [ =( 'c_Numeral_Obin__pred'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB1' )
% 1.23/1.62 ), 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' ) ) ],
% 1.23/1.62 [ =( 'c_Numeral_Obin__pred'( 'c_Numeral_OMin' ), 'c_Numeral_OBit'(
% 1.23/1.62 'c_Numeral_OMin', 'c_Numeral_Obit_OB0' ) ) ],
% 1.23/1.62 [ =( 'c_Numeral_Obin__pred'( 'c_Numeral_OPls' ), 'c_Numeral_OMin' ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), ~(
% 1.23/1.62 'c_IntDef_Oiszero'( 'c_1', X ) ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'(
% 1.23/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.23/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, Z ), X ), X ) ),
% 1.23/1.62 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ), X ) ), 'c_IntDef_Oneg'(
% 1.23/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, Z ), X ), X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.23/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.23/1.62 'c_Numeral_Obin__minus'( Z ) ), X ), X ) ), ~( 'c_lessequals'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Z, X ), 'c_Numeral_Onumber__of'( Y, X ), X ) ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'(
% 1.23/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.23/1.62 'c_Numeral_Obin__minus'( Z ) ), X ), X ), 'c_lessequals'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Z, X ), 'c_Numeral_Onumber__of'( Y, X ), X ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( =( 'c_Numeral_Onumber__of'(
% 1.23/1.62 Y, X ), 'c_Numeral_Onumber__of'( Z, X ) ) ), 'c_IntDef_Oiszero'(
% 1.23/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.23/1.62 'c_Numeral_Obin__minus'( Z ) ), X ), X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'c_IntDef_Oiszero'(
% 1.23/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.23/1.62 'c_Numeral_Obin__minus'( Z ) ), X ), X ) ), =( 'c_Numeral_Onumber__of'( Y
% 1.23/1.62 , X ), 'c_Numeral_Onumber__of'( Z, X ) ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'c_IntDef_Oiszero'(
% 1.23/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OPls', X ), X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'c_IntDef_Oiszero'(
% 1.23/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), X ) ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oiszero'(
% 1.23/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB0' ), X )
% 1.23/1.62 , X ) ), 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oiszero'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ), X ) ), 'c_IntDef_Oiszero'(
% 1.23/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB0' ), X )
% 1.23/1.62 , X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oiszero'(
% 1.23/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB1' ), X )
% 1.23/1.62 , X ) ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ) ),
% 1.23/1.62 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.23/1.62 'c_Numeral_Obin__minus'( Z ) ), X ), X ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.23/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.23/1.62 'c_Numeral_Obin__minus'( Z ) ), X ), X ) ), 'c_less'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.23/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OPls', X ), X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.23/1.62 'c_0', X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.23/1.62 'c_1', X ) ) ],
% 1.23/1.62 [ =( 'c_Numeral_Obin__succ'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' )
% 1.23/1.62 ), 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB1' ) ) ],
% 1.23/1.62 [ =( 'c_Numeral_Obin__succ'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB1' )
% 1.23/1.62 ), 'c_Numeral_OBit'( 'c_Numeral_Obin__succ'( X ), 'c_Numeral_Obit_OB0' )
% 1.23/1.62 ) ],
% 1.23/1.62 [ =( 'c_Numeral_Obin__succ'( 'c_Numeral_OMin' ), 'c_Numeral_OPls' ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ =( 'c_Numeral_Obin__succ'( 'c_Numeral_OPls' ), 'c_Numeral_OBit'(
% 1.23/1.62 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ) ) ],
% 1.23/1.62 [ =( 'c_Numeral_Obit_Obit__case'( X, Y, 'c_Numeral_Obit_OB0', Z ), X ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ =( 'c_Numeral_Obit_Obit__case'( X, Y, 'c_Numeral_Obit_OB1', Z ), Y ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( =( 'c_Numeral_Obit_OB0', 'c_Numeral_Obit_OB1' ) ) ],
% 1.23/1.62 [ ~( =( 'c_Numeral_Obit_OB1', 'c_Numeral_Obit_OB0' ) ) ],
% 1.23/1.62 [ =( 'c_Numeral_Obit_Obit__rec'( X, Y, 'c_Numeral_Obit_OB0', Z ), X ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ =( 'c_Numeral_Obit_Obit__rec'( X, Y, 'c_Numeral_Obit_OB1', Z ), Y ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ =( 'c_Nat_Osize'( 'c_Numeral_Obit_OB0', 'tc_Numeral_Obit' ), 'c_0' ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ =( 'c_Nat_Osize'( 'c_Numeral_Obit_OB1', 'tc_Numeral_Obit' ), 'c_0' ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_times'( 'c_uminus'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ), 'c_times'(
% 1.23/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__minus'( Y ), X ), Z, X ) ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_times'(
% 1.23/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), Y, X ), 'c_uminus'( Y, X
% 1.23/1.62 ) ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_times'( Y,
% 1.23/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), X ), 'c_uminus'( Y, X ) )
% 1.23/1.62 ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_times'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_times'( 'c_Numeral_Onumber__of'( Z, X
% 1.23/1.62 ), T, X ), X ), 'c_times'( 'c_Numeral_Onumber__of'(
% 1.23/1.62 'c_Numeral_Obin__mult'( Y, Z ), X ), T, X ) ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_Numeral_Onumber__of'(
% 1.23/1.62 'c_Numeral_OPls', X ), 'c_0' ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_Numeral_Onumber__of'(
% 1.23/1.62 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), X ), 'c_1' )
% 1.23/1.62 ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_plus'(
% 1.23/1.62 'c_uminus'( Y, X ), Y, X ), 'c_0' ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~( =( 'c_0'
% 1.23/1.62 , 'c_HOL_Oabs'( Y, X ) ) ), =( Y, 'c_0' ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), =( 'c_0',
% 1.23/1.62 'c_HOL_Oabs'( 'c_0', X ) ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), =(
% 1.23/1.62 'c_HOL_Oabs'( 'c_plus'( 'c_HOL_Oabs'( Y, X ), 'c_HOL_Oabs'( Z, X ), X ),
% 1.23/1.62 X ), 'c_plus'( 'c_HOL_Oabs'( Y, X ), 'c_HOL_Oabs'( Z, X ), X ) ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~( =(
% 1.23/1.62 'c_HOL_Oabs'( Y, X ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), =(
% 1.23/1.62 'c_HOL_Oabs'( 'c_0', X ), 'c_0' ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.23/1.62 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), =(
% 1.23/1.62 'c_HOL_Oabs'( 'c_HOL_Oabs'( Y, X ), X ), 'c_HOL_Oabs'( Y, X ) ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~(
% 1.23/1.62 'c_lessequals'( 'c_HOL_Oabs'( Y, X ), 'c_0', X ) ), =( Y, 'c_0' ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.23/1.62 'c_lessequals'( 'c_HOL_Oabs'( 'c_0', X ), 'c_0', X ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), =(
% 1.23/1.62 'c_HOL_Oabs'( 'c_uminus'( Y, X ), X ), 'c_HOL_Oabs'( Y, X ) ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~( 'c_less'(
% 1.23/1.62 'c_HOL_Oabs'( Y, X ), 'c_0', X ) ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~(
% 1.23/1.62 'c_lessequals'( 'c_0', Y, X ) ), =( 'c_HOL_Oabs'( Y, X ), Y ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~(
% 1.23/1.62 'c_lessequals'( Y, 'c_0', X ) ), =( 'c_HOL_Oabs'( Y, X ), 'c_uminus'( Y,
% 1.23/1.62 X ) ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 'c_plus'( Y,
% 1.23/1.62 'c_0', X ), Y ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.23/1.62 , ~( 'c_lessequals'( 'c_plus'( Y, Z, X ), 'c_plus'( Y, T, X ), X ) ),
% 1.23/1.62 'c_lessequals'( Z, T, X ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.23/1.62 , ~( 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_plus'( T, Y, X ),
% 1.23/1.62 'c_plus'( T, Z, X ), X ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.23/1.62 , ~( 'c_lessequals'( 'c_plus'( Y, Z, X ), 'c_plus'( T, Z, X ), X ) ),
% 1.23/1.62 'c_lessequals'( Y, T, X ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.23/1.62 , ~( 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_plus'( Y, T, X ),
% 1.23/1.62 'c_plus'( Z, T, X ), X ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( 'c_plus'(
% 1.23/1.62 Y, Z, X ), 'c_plus'( Y, T, X ) ) ), =( Z, T ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.23/1.62 , ~( 'c_less'( 'c_plus'( Y, Z, X ), 'c_plus'( Y, T, X ), X ) ), 'c_less'(
% 1.23/1.62 Z, T, X ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.23/1.62 , ~( 'c_less'( Y, Z, X ) ), 'c_less'( 'c_plus'( T, Y, X ), 'c_plus'( T, Z
% 1.23/1.62 , X ), X ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.23/1.62 , ~( 'c_less'( 'c_plus'( Y, Z, X ), 'c_plus'( T, Z, X ), X ) ), 'c_less'(
% 1.23/1.62 Y, T, X ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.23/1.62 , ~( 'c_less'( Y, Z, X ) ), 'c_less'( 'c_plus'( Y, T, X ), 'c_plus'( Z, T
% 1.23/1.62 , X ), X ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( 'c_plus'(
% 1.23/1.62 Y, Z, X ), 'c_plus'( T, Z, X ) ) ), =( Y, T ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 'c_plus'( 'c_0'
% 1.23/1.62 , Y, X ), Y ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_minus'( 'c_0', Y
% 1.23/1.62 , X ), 'c_uminus'( Y, X ) ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_minus'( Y, 'c_0'
% 1.23/1.62 , X ), Y ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 'c_minus'( Y, Z
% 1.23/1.62 , X ), 'c_0' ) ), =( Y, Z ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 1.23/1.62 'c_lessequals'( 'c_minus'( Y, Z, X ), 'c_0', X ) ), 'c_lessequals'( Y, Z
% 1.23/1.62 , X ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 1.23/1.62 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_minus'( Y, Z, X ), 'c_0'
% 1.23/1.62 , X ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.23/1.62 'c_minus'( Y, Z, X ), 'c_0', X ) ), 'c_less'( Y, Z, X ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.23/1.62 Y, Z, X ) ), 'c_less'( 'c_minus'( Y, Z, X ), 'c_0', X ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_minus'( Y,
% 1.23/1.62 'c_uminus'( Z, X ), X ), 'c_plus'( Y, Z, X ) ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_minus'( Y, Y, X
% 1.23/1.62 ), 'c_0' ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'(
% 1.23/1.62 'c_plus'( Y, Y, X ), 'c_0', X ) ), 'c_lessequals'( Y, 'c_0', X ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'(
% 1.23/1.62 Y, 'c_0', X ) ), 'c_lessequals'( 'c_plus'( Y, Y, X ), 'c_0', X ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 1.23/1.62 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( 'c_plus'( Y, Y, X ),
% 1.23/1.62 'c_0', X ) ), 'c_less'( Y, 'c_0', X ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 1.23/1.62 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( Y, 'c_0', X ) ),
% 1.23/1.62 'c_less'( 'c_plus'( Y, Y, X ), 'c_0', X ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( =(
% 1.23/1.62 'c_LOrder_Ojoin'( Y, 'c_uminus'( Y, X ), X ), 'c_0' ) ), =( Y, 'c_0' ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =(
% 1.23/1.62 'c_LOrder_Ojoin'( 'c_0', 'c_uminus'( 'c_0', X ), X ), 'c_0' ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( =(
% 1.23/1.62 'c_LOrder_Omeet'( Y, 'c_uminus'( Y, X ), X ), 'c_0' ) ), =( Y, 'c_0' ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =(
% 1.23/1.62 'c_LOrder_Omeet'( 'c_0', 'c_uminus'( 'c_0', X ), X ), 'c_0' ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_uminus'(
% 1.23/1.62 'c_plus'( Y, Z, X ), X ), 'c_plus'( 'c_uminus'( Y, X ), 'c_uminus'( Z, X
% 1.23/1.62 ), X ) ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_uminus'(
% 1.23/1.62 'c_minus'( Y, Z, X ), X ), 'c_minus'( Z, Y, X ) ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_uminus'(
% 1.23/1.62 'c_uminus'( Y, X ), X ), Y ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 'c_times'( 'c_1', Y,
% 1.23/1.62 X ), Y ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 'c_times'( Y, 'c_1',
% 1.23/1.62 X ), Y ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 'c_0',
% 1.23/1.62 'c_uminus'( Y, X ) ) ), =( 'c_0', Y ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_0', 'c_uminus'(
% 1.23/1.62 'c_0', X ) ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 1.23/1.62 'c_lessequals'( 'c_0', 'c_uminus'( Y, X ), X ) ), 'c_lessequals'( Y,
% 1.23/1.62 'c_0', X ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 1.23/1.62 'c_lessequals'( Y, 'c_0', X ) ), 'c_lessequals'( 'c_0', 'c_uminus'( Y, X
% 1.23/1.62 ), X ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.23/1.62 'c_0', 'c_uminus'( Y, X ), X ) ), 'c_less'( Y, 'c_0', X ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.23/1.62 Y, 'c_0', X ) ), 'c_less'( 'c_0', 'c_uminus'( Y, X ), X ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 'c_uminus'( Y, X
% 1.23/1.62 ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_uminus'( 'c_0',
% 1.23/1.62 X ), 'c_0' ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 'c_uminus'( Y, X
% 1.23/1.62 ), 'c_uminus'( Z, X ) ) ), =( Y, Z ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =( 'c_uminus'(
% 1.23/1.62 'c_LOrder_Ojoin'( Y, Z, X ), X ), 'c_LOrder_Omeet'( 'c_uminus'( Y, X ),
% 1.23/1.62 'c_uminus'( Z, X ), X ) ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 1.23/1.62 'c_lessequals'( 'c_uminus'( Y, X ), 'c_0', X ) ), 'c_lessequals'( 'c_0',
% 1.23/1.62 Y, X ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 1.23/1.62 'c_lessequals'( 'c_0', Y, X ) ), 'c_lessequals'( 'c_uminus'( Y, X ),
% 1.23/1.62 'c_0', X ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 1.23/1.62 'c_lessequals'( 'c_uminus'( Y, X ), 'c_uminus'( Z, X ), X ) ),
% 1.23/1.62 'c_lessequals'( Z, Y, X ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 1.23/1.62 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_uminus'( Z, X ),
% 1.23/1.62 'c_uminus'( Y, X ), X ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.23/1.62 'c_uminus'( Y, X ), 'c_0', X ) ), 'c_less'( 'c_0', Y, X ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.23/1.62 'c_0', Y, X ) ), 'c_less'( 'c_uminus'( Y, X ), 'c_0', X ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.23/1.62 'c_uminus'( Y, X ), 'c_uminus'( Z, X ), X ) ), 'c_less'( Z, Y, X ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.23/1.62 Y, Z, X ) ), 'c_less'( 'c_uminus'( Z, X ), 'c_uminus'( Y, X ), X ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =( 'c_uminus'(
% 1.23/1.62 'c_LOrder_Omeet'( Y, Z, X ), X ), 'c_LOrder_Ojoin'( 'c_uminus'( Y, X ),
% 1.23/1.62 'c_uminus'( Z, X ), X ) ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =(
% 1.23/1.62 'c_OrderedGroup_Onprt'( 'c_0', X ), 'c_0' ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'(
% 1.23/1.62 'c_0', Y, X ) ), =( 'c_OrderedGroup_Onprt'( Y, X ), 'c_0' ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'(
% 1.23/1.62 Y, 'c_0', X ) ), =( 'c_OrderedGroup_Onprt'( Y, X ), Y ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 'c_lessequals'(
% 1.23/1.62 'c_OrderedGroup_Onprt'( Y, X ), 'c_0', X ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'(
% 1.23/1.62 Y, Z, X ) ), 'c_lessequals'( 'c_OrderedGroup_Onprt'( Y, X ),
% 1.23/1.62 'c_OrderedGroup_Onprt'( Z, X ), X ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =(
% 1.23/1.62 'c_OrderedGroup_Opprt'( 'c_0', X ), 'c_0' ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'(
% 1.23/1.62 Y, 'c_0', X ) ), =( 'c_OrderedGroup_Opprt'( Y, X ), 'c_0' ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'(
% 1.23/1.62 'c_0', Y, X ) ), =( 'c_OrderedGroup_Opprt'( Y, X ), Y ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'(
% 1.23/1.62 Y, Z, X ) ), 'c_lessequals'( 'c_OrderedGroup_Opprt'( Y, X ),
% 1.23/1.62 'c_OrderedGroup_Opprt'( Z, X ), X ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_plus'( Y,
% 1.23/1.62 'c_uminus'( Y, X ), X ), 'c_0' ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'(
% 1.23/1.62 'c_0', 'c_plus'( Y, Y, X ), X ) ), 'c_lessequals'( 'c_0', Y, X ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'(
% 1.23/1.62 'c_0', Y, X ) ), 'c_lessequals'( 'c_0', 'c_plus'( Y, Y, X ), X ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 'c_lessequals'(
% 1.23/1.62 'c_0', 'c_OrderedGroup_Opprt'( Y, X ), X ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~( 'c_less'(
% 1.23/1.62 'c_0', 'c_HOL_Oabs'( 'c_0', X ), X ) ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 'c_less'(
% 1.23/1.62 'c_0', 'c_HOL_Oabs'( Y, X ), X ), =( Y, 'c_0' ) ],
% 1.23/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( 'c_Orderings_Omax'(
% 1.23/1.62 Y, Z, X ), T, X ) ), 'c_less'( Y, T, X ) ],
% 1.23/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( 'c_Orderings_Omax'(
% 1.23/1.62 Y, Z, X ), T, X ) ), 'c_less'( Z, T, X ) ],
% 1.23/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( Y, Z, X ) ), ~(
% 1.23/1.62 'c_less'( T, Z, X ) ), 'c_less'( 'c_Orderings_Omax'( T, Y, X ), Z, X ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( Y,
% 1.23/1.62 'c_Orderings_Omin'( Z, T, X ), X ) ), 'c_less'( Y, Z, X ) ],
% 1.23/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( Y,
% 1.23/1.62 'c_Orderings_Omin'( Z, T, X ), X ) ), 'c_less'( Y, T, X ) ],
% 1.23/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( Y, Z, X ) ), ~(
% 1.23/1.62 'c_less'( Y, T, X ) ), 'c_less'( Y, 'c_Orderings_Omin'( T, Z, X ), X ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y,
% 1.23/1.62 'c_Orderings_Omin'( Z, T, X ), X ) ), 'c_lessequals'( Y, Z, X ) ],
% 1.23/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y,
% 1.23/1.62 'c_Orderings_Omin'( Z, T, X ), X ) ), 'c_lessequals'( Y, T, X ) ],
% 1.23/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.23/1.62 , ~( 'c_lessequals'( Y, T, X ) ), 'c_lessequals'( Y, 'c_Orderings_Omin'(
% 1.23/1.62 T, Z, X ), X ) ],
% 1.23/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_Orderings_Omin'( Y, Y, X
% 1.23/1.62 ), Y ) ],
% 1.23/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_Orderings_Omin'( Y,
% 1.23/1.62 'c_Orderings_Omin'( Y, Z, X ), X ), 'c_Orderings_Omin'( Y, Z, X ) ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 1.23/1.62 'c_Orderings_Omax'( Y, Z, X ), T, X ) ), 'c_lessequals'( Y, T, X ) ],
% 1.23/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 1.23/1.62 'c_Orderings_Omax'( Y, Z, X ), T, X ) ), 'c_lessequals'( Z, T, X ) ],
% 1.23/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.23/1.62 , ~( 'c_lessequals'( T, Z, X ) ), 'c_lessequals'( 'c_Orderings_Omax'( T,
% 1.23/1.62 Y, X ), Z, X ) ],
% 1.23/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_Orderings_Omax'( Y, Y, X
% 1.23/1.62 ), Y ) ],
% 1.23/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_Orderings_Omax'( Y,
% 1.23/1.62 'c_Orderings_Omax'( Y, Z, X ), X ), 'c_Orderings_Omax'( Y, Z, X ) ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_less'( Y, Y, X ) ) ],
% 1.23/1.62 [ ~( 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat'
% 1.23/1.62 ) ), 'c_Parity_Oeven'( 'c_IntDef_Oint'( 'c_Numeral_Onumber__of'( X,
% 1.23/1.62 'tc_nat' ) ), 'tc_IntDef_Oint' ) ],
% 1.23/1.62 [ ~( 'c_Parity_Oeven'( 'c_IntDef_Oint'( 'c_Numeral_Onumber__of'( X,
% 1.23/1.62 'tc_nat' ) ), 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'(
% 1.23/1.62 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ) ],
% 1.23/1.62 [ ~( 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.23/1.62 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X
% 1.23/1.62 , 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.23/1.62 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.23/1.62 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_0' ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X,
% 1.23/1.62 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.23/1.62 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.23/1.62 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_0' ) )
% 1.23/1.62 , 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.23/1.62 'tc_IntDef_Oint' ) ],
% 1.23/1.62 [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 'c_Parity_Oeven'(
% 1.23/1.62 'c_minus'( Y, X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ),
% 1.23/1.62 'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ) ],
% 1.23/1.62 [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 'c_Parity_Oeven'(
% 1.23/1.62 'c_minus'( X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ),
% 1.23/1.62 'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ) ],
% 1.23/1.62 [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 'c_Parity_Oeven'( Y,
% 1.23/1.62 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( 'c_minus'( Y, X, 'tc_IntDef_Oint'
% 1.23/1.62 ), 'tc_IntDef_Oint' ) ],
% 1.23/1.62 [ 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ), 'c_Parity_Oeven'( Y,
% 1.23/1.62 'tc_IntDef_Oint' ), 'c_Parity_Oeven'( 'c_minus'( Y, X, 'tc_IntDef_Oint' )
% 1.23/1.62 , 'tc_IntDef_Oint' ) ],
% 1.23/1.62 [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), ~( 'c_Parity_Oeven'( 'c_Suc'( X
% 1.23/1.62 ), 'tc_nat' ) ) ],
% 1.23/1.62 [ 'c_Parity_Oeven'( X, 'tc_nat' ), 'c_Parity_Oeven'( 'c_Suc'( X ),
% 1.23/1.62 'tc_nat' ) ],
% 1.23/1.62 [ ~( 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 'tc_nat' ), 'tc_nat' ) ),
% 1.23/1.62 'c_Parity_Oeven'( X, 'tc_nat' ) ],
% 1.23/1.62 [ ~( 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 'tc_nat' ), 'tc_nat' ) ),
% 1.23/1.62 'c_less'( 'c_0', Y, 'tc_nat' ) ],
% 1.23/1.62 [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), ~( 'c_less'( 'c_0', Y, 'tc_nat'
% 1.23/1.62 ) ), 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 'tc_nat' ), 'tc_nat' ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( 'c_Parity_Oeven'( 'c_times'( X, Y, 'tc_nat' ), 'tc_nat' ) ),
% 1.23/1.62 'c_Parity_Oeven'( Y, 'tc_nat' ), 'c_Parity_Oeven'( X, 'tc_nat' ) ],
% 1.23/1.62 [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), 'c_Parity_Oeven'( 'c_times'( X,
% 1.23/1.62 Y, 'tc_nat' ), 'tc_nat' ) ],
% 1.23/1.62 [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), 'c_Parity_Oeven'( 'c_times'( Y,
% 1.23/1.62 X, 'tc_nat' ), 'tc_nat' ) ],
% 1.23/1.62 [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), ~( 'c_Parity_Oeven'( 'c_plus'( Y
% 1.23/1.62 , X, 'tc_nat' ), 'tc_nat' ) ), 'c_Parity_Oeven'( Y, 'tc_nat' ) ],
% 1.23/1.62 [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), ~( 'c_Parity_Oeven'( 'c_plus'( X
% 1.23/1.62 , Y, 'tc_nat' ), 'tc_nat' ) ), 'c_Parity_Oeven'( Y, 'tc_nat' ) ],
% 1.23/1.62 [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), ~( 'c_Parity_Oeven'( Y, 'tc_nat'
% 1.23/1.62 ) ), 'c_Parity_Oeven'( 'c_plus'( Y, X, 'tc_nat' ), 'tc_nat' ) ],
% 1.23/1.62 [ 'c_Parity_Oeven'( X, 'tc_nat' ), 'c_Parity_Oeven'( Y, 'tc_nat' ),
% 1.23/1.62 'c_Parity_Oeven'( 'c_plus'( Y, X, 'tc_nat' ), 'tc_nat' ) ],
% 1.23/1.62 [ 'c_Parity_Oeven'( 'c_0', 'tc_nat' ) ],
% 1.23/1.62 [ ~( 'c_Parity_Oeven'( 'c_uminus'( X, 'tc_IntDef_Oint' ),
% 1.23/1.62 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ],
% 1.23/1.62 [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'(
% 1.23/1.62 'c_uminus'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.23/1.62 [ ~( 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 'tc_IntDef_Oint' ),
% 1.23/1.62 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ],
% 1.23/1.62 [ ~( 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 'tc_IntDef_Oint' ),
% 1.23/1.62 'tc_IntDef_Oint' ) ), 'c_less'( 'c_0', Y, 'tc_nat' ) ],
% 1.23/1.62 [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_0', Y,
% 1.23/1.62 'tc_nat' ) ), 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 'tc_IntDef_Oint' )
% 1.23/1.62 , 'tc_IntDef_Oint' ) ],
% 1.23/1.62 [ ~( 'c_Parity_Oeven'( 'c_times'( X, Y, 'tc_IntDef_Oint' ),
% 1.23/1.62 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ),
% 1.23/1.62 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ],
% 1.23/1.62 [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'(
% 1.23/1.62 'c_times'( X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.23/1.62 [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'(
% 1.23/1.62 'c_times'( Y, X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.23/1.62 [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 'c_Parity_Oeven'(
% 1.23/1.62 'c_plus'( Y, X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ),
% 1.23/1.62 'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ) ],
% 1.23/1.62 [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 'c_Parity_Oeven'(
% 1.23/1.62 'c_plus'( X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ),
% 1.23/1.62 'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ) ],
% 1.23/1.62 [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 'c_Parity_Oeven'( Y,
% 1.23/1.62 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( 'c_plus'( Y, X, 'tc_IntDef_Oint'
% 1.23/1.62 ), 'tc_IntDef_Oint' ) ],
% 1.23/1.62 [ 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ), 'c_Parity_Oeven'( Y,
% 1.23/1.62 'tc_IntDef_Oint' ), 'c_Parity_Oeven'( 'c_plus'( Y, X, 'tc_IntDef_Oint' )
% 1.23/1.62 , 'tc_IntDef_Oint' ) ],
% 1.23/1.62 [ 'c_Parity_Oeven'( 'c_0', 'tc_IntDef_Oint' ) ],
% 1.23/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_Parity_Oeven'( Y,
% 1.23/1.62 'tc_nat' ) ), =( 'c_Nat_Opower'( 'c_uminus'( 'c_1', X ), Y, X ), 'c_1' )
% 1.23/1.62 ],
% 1.23/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'c_Parity_Oeven'( Y,
% 1.23/1.62 'tc_nat' ), =( 'c_Nat_Opower'( 'c_uminus'( 'c_1', X ), Y, X ), 'c_uminus'(
% 1.23/1.62 'c_1', X ) ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'class_Power_Orecpower'( X
% 1.23/1.62 ) ), ~( 'c_Parity_Oeven'( Y, 'tc_nat' ) ), =( 'c_Nat_Opower'(
% 1.23/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), Y, X ), 'c_1' ) ],
% 1.23/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'class_Power_Orecpower'( X
% 1.23/1.62 ) ), 'c_Parity_Oeven'( Y, 'tc_nat' ), =( 'c_Nat_Opower'(
% 1.23/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), Y, X ),
% 1.23/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ) ) ],
% 1.23/1.62 [ =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.23/1.62 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.23/1.62 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_0' ),
% 1.23/1.62 =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.23/1.62 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.23/1.62 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_1' ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'(
% 1.23/1.62 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.23/1.62 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ),
% 1.23/1.62 'tc_IntDef_Oint' ), 'c_0' ) ), ~( =( 'c_Divides_Oop_Amod'( X,
% 1.23/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.23/1.62 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.23/1.62 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_1' ) ) ],
% 1.23/1.62 [ ~( 'c_Parity_Oeven'( 'c_1', 'tc_IntDef_Oint' ) ) ],
% 1.23/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~( =( 'c_Numeral_Onumber__of'( Y,
% 1.23/1.62 'tc_nat' ), 'c_0' ) ), =( 'c_Nat_Opower'( 'c_0', 'c_Numeral_Onumber__of'(
% 1.23/1.62 Y, 'tc_nat' ), X ), 'c_1' ) ],
% 1.23/1.62 [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( 'c_0',
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0' ), =(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_0' ) ],
% 1.23/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_Nat_Opower'( Y,
% 1.23/1.62 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0' ) ), =( Y, 'c_0' ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_Nat_Opower'( Y,
% 1.23/1.62 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0' ) ), 'c_less'( 'c_0',
% 1.23/1.62 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ) ],
% 1.23/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0',
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), =( 'c_Nat_Opower'(
% 1.23/1.62 'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0' ) ],
% 1.23/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), =( 'c_Nat_Opower'(
% 1.23/1.62 'c_HOL_Oabs'( Z, X ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ),
% 1.23/1.62 'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ) ) ],
% 1.23/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.23/1.62 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0', X
% 1.23/1.62 ) ), ~( =( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'c_0' ) ) ],
% 1.23/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), ~( 'c_lessequals'(
% 1.23/1.62 'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0', X
% 1.23/1.62 ) ), =( Z, 'c_0' ) ],
% 1.23/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.23/1.62 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0', X
% 1.23/1.62 ) ), 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat'
% 1.23/1.62 ), 'c_lessequals'( Y, 'c_0', X ) ],
% 1.23/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.23/1.62 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0', X
% 1.23/1.62 ) ), 'c_lessequals'( Y, 'c_0', X ), =( Y, 'c_0' ) ],
% 1.23/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( Y,
% 1.23/1.62 'c_0', X ) ), 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ),
% 1.23/1.62 'tc_nat' ), 'c_lessequals'( 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z
% 1.23/1.62 , 'tc_nat' ), X ), 'c_0', X ), =( 'c_Numeral_Onumber__of'( Z, 'tc_nat' )
% 1.23/1.62 , 'c_0' ) ],
% 1.23/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), 'c_lessequals'(
% 1.23/1.62 'c_Nat_Opower'( 'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0'
% 1.23/1.62 , X ), =( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_0' ) ],
% 1.23/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), ~( 'c_less'(
% 1.23/1.62 'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0', X
% 1.23/1.62 ) ) ],
% 1.23/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'(
% 1.23/1.62 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0', X
% 1.23/1.62 ) ), 'c_less'( Y, 'c_0', X ) ],
% 1.23/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.23/1.62 ) ), 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat'
% 1.23/1.62 ), 'c_less'( 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ),
% 1.23/1.62 X ), 'c_0', X ) ],
% 1.23/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_Parity_Oeven'( Y,
% 1.23/1.62 'tc_nat' ) ), =( 'c_Nat_Opower'( 'c_uminus'( Z, X ), Y, X ),
% 1.23/1.62 'c_Nat_Opower'( Z, Y, X ) ) ],
% 1.23/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'c_Parity_Oeven'( Y,
% 1.23/1.62 'tc_nat' ), =( 'c_Nat_Opower'( 'c_uminus'( Z, X ), Y, X ), 'c_uminus'(
% 1.23/1.62 'c_Nat_Opower'( Z, Y, X ), X ) ) ],
% 1.23/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.23/1.62 , 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), X ) ),
% 1.23/1.62 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ),
% 1.23/1.62 'c_lessequals'( 'c_0', Y, X ) ],
% 1.23/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), 'c_lessequals'(
% 1.23/1.62 'c_0', 'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), X
% 1.23/1.62 ) ],
% 1.23/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.23/1.62 , Y, X ) ), 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ),
% 1.23/1.62 'tc_nat' ), 'c_lessequals'( 'c_0', 'c_Nat_Opower'( Y,
% 1.23/1.62 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), X ) ],
% 1.23/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0',
% 1.23/1.62 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), X ) ),
% 1.23/1.62 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ),
% 1.23/1.62 'c_less'( 'c_0', Y, X ), =( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'c_0'
% 1.23/1.62 ) ],
% 1.23/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), ~( 'c_less'( 'c_0'
% 1.23/1.62 , 'c_Nat_Opower'( 'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), X )
% 1.23/1.62 ), =( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_0' ) ],
% 1.23/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0',
% 1.23/1.62 'c_Nat_Opower'( 'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), X ) )
% 1.23/1.62 , 'c_less'( 'c_0', 'c_0', X ), =( 'c_Numeral_Onumber__of'( Y, 'tc_nat' )
% 1.23/1.62 , 'c_0' ) ],
% 1.23/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_0' ) ), 'c_less'( 'c_0',
% 1.23/1.62 'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), X ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), 'c_less'( 'c_0',
% 1.23/1.62 'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), X ), =( Z
% 1.23/1.62 , 'c_0' ) ],
% 1.23/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.23/1.62 ) ), 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat'
% 1.23/1.62 ), 'c_less'( 'c_0', 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z,
% 1.23/1.62 'tc_nat' ), X ), X ) ],
% 1.23/1.62 [ ~( 'c_less'( 'c_0', 'c_Nat_Opower'( X, 'c_Numeral_Onumber__of'( Y,
% 1.23/1.62 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ), 'c_less'( 'c_0', X, 'tc_nat' ), =(
% 1.23/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_0' ) ],
% 1.23/1.62 [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ), 'c_less'(
% 1.23/1.62 'c_0', 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.23/1.62 'tc_nat' ), 'tc_nat' ) ],
% 1.23/1.62 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_Nat_Opower'(
% 1.23/1.62 X, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ],
% 1.23/1.62 [ ~( 'c_lessequals'( 'c_1', X, 'tc_nat' ) ), 'c_lessequals'( 'c_Suc'(
% 1.23/1.62 'c_0' ), 'c_Nat_Opower'( X, Y, 'tc_nat' ), 'tc_nat' ) ],
% 1.23/1.62 [ ~( 'c_less'( 'c_0', 'c_Nat_Opower'( 'c_0', X, 'tc_nat' ), 'tc_nat' ) )
% 1.23/1.62 , =( X, 'c_0' ) ],
% 1.23/1.62 [ 'c_less'( 'c_0', 'c_Nat_Opower'( X, Y, 'tc_nat' ), 'tc_nat' ), =( X,
% 1.23/1.62 'c_0' ) ],
% 1.23/1.62 [ 'c_less'( 'c_0', 'c_Nat_Opower'( X, 'c_0', 'tc_nat' ), 'tc_nat' ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ =( 'c_Nat_Opower'( X, 'c_0', 'tc_nat' ), 'c_1' ) ],
% 1.23/1.62 [ =( 'c_Nat_Opower'( X, 'c_Suc'( Y ), 'tc_nat' ), 'c_times'( X,
% 1.23/1.62 'c_Nat_Opower'( X, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.23/1.62 [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( 'c_0', 'c_Suc'(
% 1.23/1.62 Y ), X ), 'c_0' ) ],
% 1.23/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_Nat_Opower'( Y,
% 1.23/1.62 Z, X ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.23/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_Nat_Opower'( Y,
% 1.23/1.62 Z, X ), 'c_0' ) ), 'c_less'( 'c_0', Z, 'tc_nat' ) ],
% 1.23/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0', Y,
% 1.23/1.62 'tc_nat' ) ), =( 'c_Nat_Opower'( 'c_0', Y, X ), 'c_0' ) ],
% 1.23/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( 'c_1', Y
% 1.23/1.62 , X ) ), ~( 'c_lessequals'( 'c_Nat_Opower'( Y, Z, X ), 'c_Nat_Opower'( Y
% 1.23/1.62 , T, X ), X ) ), 'c_lessequals'( Z, T, 'tc_nat' ) ],
% 1.23/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( 'c_1', Y
% 1.23/1.62 , X ) ), ~( 'c_lessequals'( Z, T, 'tc_nat' ) ), 'c_lessequals'(
% 1.23/1.62 'c_Nat_Opower'( Y, Z, X ), 'c_Nat_Opower'( Y, T, X ), X ) ],
% 1.23/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( 'c_1', Y
% 1.23/1.62 , X ) ), ~( =( 'c_Nat_Opower'( Y, Z, X ), 'c_Nat_Opower'( Y, T, X ) ) ),
% 1.23/1.62 =( Z, T ) ],
% 1.23/1.62 [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( 'c_1', Y, X ),
% 1.23/1.62 'c_1' ) ],
% 1.23/1.62 [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( Y, 'c_1', X ), Y
% 1.23/1.62 ) ],
% 1.23/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( 'c_1', Y
% 1.23/1.62 , X ) ), ~( 'c_less'( 'c_Nat_Opower'( Y, Z, X ), 'c_Nat_Opower'( Y, T, X
% 1.23/1.62 ), X ) ), 'c_less'( Z, T, 'tc_nat' ) ],
% 1.23/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( Y, Z,
% 1.23/1.62 'tc_nat' ) ), ~( 'c_less'( 'c_1', T, X ) ), 'c_less'( 'c_Nat_Opower'( T,
% 1.23/1.62 Y, X ), 'c_Nat_Opower'( T, Z, X ), X ) ],
% 1.23/1.62 [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( Y, 'c_0', X ),
% 1.23/1.62 'c_1' ) ],
% 1.23/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 'c_0',
% 1.23/1.62 'c_Nat_Opower'( 'c_HOL_Oabs'( Y, X ), Z, X ), X ) ],
% 1.23/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0',
% 1.23/1.62 'c_Nat_Opower'( 'c_HOL_Oabs'( 'c_0', X ), Y, X ), X ) ), =( Y, 'c_0' ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_less'( 'c_0',
% 1.23/1.62 'c_Nat_Opower'( 'c_HOL_Oabs'( Y, X ), Z, X ), X ), =( Y, 'c_0' ) ],
% 1.23/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_less'( 'c_0',
% 1.23/1.62 'c_Nat_Opower'( 'c_HOL_Oabs'( Y, X ), 'c_0', X ), X ) ],
% 1.23/1.62 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( X, U ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( Y, W ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ =( 'c_fst'( 'c_Pair'( X, Y, Z, T ), Z, T ), X ) ],
% 1.23/1.62 [ =( 'c_Pair'( 'c_fst'( X, Y, Z ), 'c_snd'( X, Y, Z ), Y, Z ), X ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ =( 'c_snd'( 'c_Pair'( X, Y, Z, T ), Z, T ), Y ) ],
% 1.23/1.62 [ =( X, 'c_Pair'( 'c_Main_Osurj__pair__1'( X, Y, Z ),
% 1.23/1.62 'c_Main_Osurj__pair__2'( X, Y, Z ), Y, Z ) ) ],
% 1.23/1.62 [ =( 'c_Relation_ODomain'( 'c_Relation_OId', X, X ), 'c_UNIV' ) ],
% 1.23/1.62 [ =( 'c_Relation_ODomain'( 'c_Relation_Odiag'( X, Y ), Y, Y ), X ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ =( 'c_Relation_ODomain'( 'c_emptyset', X, Y ), 'c_emptyset' ) ],
% 1.23/1.62 [ =( 'c_Relation_Orel__comp'( 'c_Relation_OId', X, Y, Y, Z ), X ) ],
% 1.23/1.62 [ =( 'c_Relation_OImage'( 'c_Relation_OId', X, Y, Y ), X ) ],
% 1.23/1.62 [ =( 'c_Relation_OImage'( 'c_Relation_Odiag'( X, Y ), Z, Y, Y ),
% 1.23/1.62 'c_inter'( X, Z, Y ) ) ],
% 1.23/1.62 [ =( 'c_Relation_OImage'( X, 'c_emptyset', Y, Z ), 'c_emptyset' ) ],
% 1.23/1.62 [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, 'c_insert'( Z, 'c_emptyset', T )
% 1.23/1.62 , T, U ), U ) ), 'c_in'( 'c_Pair'( Z, X, T, U ), Y, 'tc_prod'( T, U ) ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'( Y
% 1.23/1.62 , 'c_Relation_OImage'( U, 'c_insert'( X, 'c_emptyset', Z ), Z, T ), T ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ =( 'c_Relation_Orel__comp'( X, 'c_Relation_OId', Y, Z, Y ), X ) ],
% 1.23/1.62 [ =( 'c_Relation_ORange'( 'c_Relation_OId', X, X ), 'c_UNIV' ) ],
% 1.23/1.62 [ =( 'c_Relation_ORange'( 'c_Relation_Odiag'( X, Y ), Y, Y ), X ) ],
% 1.23/1.62 [ =( 'c_Relation_ORange'( 'c_emptyset', X, Y ), 'c_emptyset' ) ],
% 1.23/1.62 [ =( 'c_Relation_Oconverse'( 'c_Relation_OId', X, X ), 'c_Relation_OId'
% 1.23/1.62 ) ],
% 1.23/1.62 [ =( 'c_Relation_Oconverse'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 1.23/1.62 X ) ],
% 1.23/1.62 [ =( 'c_Relation_Oconverse'( 'c_Relation_Odiag'( X, Y ), Y, Y ),
% 1.23/1.62 'c_Relation_Odiag'( X, Y ) ) ],
% 1.23/1.62 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Oconverse'( U, T, Z ),
% 1.23/1.62 'tc_prod'( Z, T ) ) ), 'c_in'( 'c_Pair'( Y, X, T, Z ), U, 'tc_prod'( T, Z
% 1.23/1.62 ) ) ],
% 1.23/1.62 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'(
% 1.23/1.62 'c_Pair'( Y, X, T, Z ), 'c_Relation_Oconverse'( U, Z, T ), 'tc_prod'( T,
% 1.23/1.62 Z ) ) ],
% 1.23/1.62 [ =( 'c_Relation_Odiag'( 'c_emptyset', X ), 'c_emptyset' ) ],
% 1.23/1.62 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId', 'tc_prod'( Z, Z )
% 1.23/1.62 ) ), =( X, Y ) ],
% 1.23/1.62 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId', 'tc_prod'( Y, Y ) )
% 1.23/1.62 ],
% 1.23/1.62 [ =( 'c_Nat_Opower'( X, 'c_1', 'tc_set'( 'tc_prod'( Y, Y ) ) ), X ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ =( 'c_Nat_Opower'( X, 'c_0', 'tc_set'( 'tc_prod'( Y, Y ) ) ),
% 1.23/1.62 'c_Relation_OId' ) ],
% 1.23/1.62 [ =( 'c_Nat_Opower'( X, 'c_Suc'( Y ), 'tc_set'( 'tc_prod'( Z, Z ) ) ),
% 1.23/1.62 'c_Relation_Orel__comp'( X, 'c_Nat_Opower'( X, Y, 'tc_set'( 'tc_prod'( Z
% 1.23/1.62 , Z ) ) ), Z, Z, Z ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), =( 'c_HOL_Oabs'(
% 1.23/1.62 'c_divide'( Y, Z, X ), X ), 'c_divide'( 'c_HOL_Oabs'( Y, X ),
% 1.23/1.62 'c_HOL_Oabs'( Z, X ), X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), =( 'c_HOL_Oabs'(
% 1.23/1.62 'c_HOL_Oinverse'( Y, X ), X ), 'c_HOL_Oinverse'( 'c_HOL_Oabs'( Y, X ), X
% 1.23/1.62 ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 'c_HOL_Oabs'(
% 1.23/1.62 'c_1', X ), 'c_1' ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ), ~( =( 'c_0',
% 1.23/1.62 'c_1' ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y, 'c_1', X
% 1.23/1.62 ), Y ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_divide'( Y, Z, X ),
% 1.23/1.62 'c_divide'( Y, T, X ) ) ), =( Z, T ), =( Y, 'c_0' ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_0', Y, X ),
% 1.23/1.62 'c_divide'( 'c_0', Z, X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_divide'( Y, Z, X ),
% 1.23/1.62 'c_divide'( T, Z, X ) ) ), =( Y, T ), =( Z, 'c_0' ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y, 'c_0', X ),
% 1.23/1.62 'c_divide'( Z, 'c_0', X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_divide'( Y, Z,
% 1.23/1.62 X ), T, X ), 'c_divide'( Y, 'c_times'( Z, T, X ), X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y, 'c_divide'( Z,
% 1.23/1.62 T, X ), X ), 'c_divide'( 'c_times'( Y, T, X ), Z, X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_divide'( Y, Z, X ),
% 1.23/1.62 'c_0' ) ), =( Z, 'c_0' ), =( Y, 'c_0' ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_0', Y, X ),
% 1.23/1.62 'c_0' ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y, 'c_0', X ),
% 1.23/1.62 'c_0' ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_divide'( Y, Z, X ),
% 1.23/1.62 'c_1' ) ), =( Y, Z ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_divide'( Y,
% 1.23/1.62 'c_0', X ), 'c_1' ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_divide'( Y, Z,
% 1.23/1.62 X ), 'c_1' ) ), =( Z, Y ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), =( Y, 'c_0' ), =(
% 1.23/1.62 'c_divide'( Y, Y, X ), 'c_1' ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'(
% 1.23/1.62 'c_divide'( 'c_1', Y, X ), 'c_0', X ) ), 'c_lessequals'( Y, 'c_0', X ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.23/1.62 'c_0', X ) ), 'c_lessequals'( 'c_divide'( 'c_1', Y, X ), 'c_0', X ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.23/1.62 ) ), ~( 'c_lessequals'( 'c_divide'( Z, Y, X ), 'c_1', X ) ),
% 1.23/1.62 'c_lessequals'( Y, Z, X ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.23/1.62 ) ), ~( 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_divide'( Z, Y, X
% 1.23/1.62 ), 'c_1', X ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.23/1.62 ) ), ~( 'c_lessequals'( 'c_divide'( Z, Y, X ), 'c_1', X ) ),
% 1.23/1.62 'c_lessequals'( Z, Y, X ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.23/1.62 ) ), ~( 'c_lessequals'( Z, Y, X ) ), 'c_lessequals'( 'c_divide'( Z, Y, X
% 1.23/1.62 ), 'c_1', X ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'(
% 1.23/1.62 'c_1', Y, X ), 'c_0', X ) ), 'c_less'( Y, 'c_0', X ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.23/1.62 ) ), 'c_less'( 'c_divide'( 'c_1', Y, X ), 'c_0', X ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.23/1.62 ) ), ~( 'c_less'( 'c_divide'( Z, Y, X ), 'c_1', X ) ), 'c_less'( Y, Z, X
% 1.23/1.62 ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z, X ) )
% 1.23/1.62 , ~( 'c_less'( Y, 'c_0', X ) ), 'c_less'( 'c_divide'( Z, Y, X ), 'c_1', X
% 1.23/1.62 ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.23/1.62 ) ), ~( 'c_less'( 'c_divide'( Z, Y, X ), 'c_1', X ) ), 'c_less'( Z, Y, X
% 1.23/1.62 ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z, X ) )
% 1.23/1.62 , ~( 'c_less'( 'c_0', Z, X ) ), 'c_less'( 'c_divide'( Y, Z, X ), 'c_1', X
% 1.23/1.62 ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_uminus'(
% 1.23/1.62 Y, X ), Z, X ), 'c_uminus'( 'c_divide'( Y, Z, X ), X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y, 'c_uminus'( Z,
% 1.23/1.62 X ), X ), 'c_uminus'( 'c_divide'( Y, Z, X ), X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_0', 'c_0', X )
% 1.23/1.62 , 'c_0' ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_1', 'c_divide'(
% 1.23/1.62 Y, 'c_0', X ) ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_1', 'c_divide'(
% 1.23/1.62 Y, Z, X ) ) ), =( Z, Y ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), =( Y, 'c_0' ), =( 'c_1'
% 1.23/1.62 , 'c_divide'( Y, Y, X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_times'(
% 1.23/1.62 'c_HOL_Oinverse'( Y, X ), Y, X ), 'c_1' ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_times'( Y, Z, X )
% 1.23/1.62 , 'c_times'( Y, T, X ) ) ), =( Z, T ), =( Y, 'c_0' ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( 'c_0', Y, X )
% 1.23/1.62 , 'c_times'( 'c_0', Z, X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_times'( Y, Z, X )
% 1.23/1.62 , 'c_times'( T, Z, X ) ) ), =( Y, T ), =( Z, 'c_0' ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( Y, 'c_0', X )
% 1.23/1.62 , 'c_times'( Z, 'c_0', X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'( 'c_divide'(
% 1.23/1.62 Y, Z, X ), X ), 'c_divide'( Z, Y, X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_HOL_Oinverse'( Y, X ),
% 1.23/1.62 'c_1' ) ), =( Y, 'c_1' ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'( 'c_1', X ),
% 1.23/1.62 'c_1' ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_HOL_Oinverse'( Y, X ),
% 1.23/1.62 'c_HOL_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'(
% 1.23/1.62 'c_HOL_Oinverse'( Y, X ), X ), Y ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0'
% 1.23/1.62 , Y, X ) ), ~( 'c_less'( 'c_0', Z, X ) ), ~( 'c_lessequals'(
% 1.23/1.62 'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) ), 'c_lessequals'(
% 1.23/1.62 Y, Z, X ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0'
% 1.23/1.62 , Y, X ) ), ~( 'c_less'( 'c_0', Z, X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.23/1.62 , 'c_lessequals'( 'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X )
% 1.23/1.62 ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.23/1.62 'c_0', X ) ), ~( 'c_less'( Z, 'c_0', X ) ), ~( 'c_lessequals'(
% 1.23/1.62 'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) ), 'c_lessequals'(
% 1.23/1.62 Y, Z, X ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.23/1.62 'c_0', X ) ), ~( 'c_less'( Z, 'c_0', X ) ), ~( 'c_lessequals'( Y, Z, X )
% 1.23/1.62 ), 'c_lessequals'( 'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X
% 1.23/1.62 ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0'
% 1.23/1.62 , Y, X ) ), ~( 'c_less'( 'c_0', Z, X ) ), ~( 'c_less'( 'c_HOL_Oinverse'(
% 1.23/1.62 Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) ), 'c_less'( Y, Z, X ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z
% 1.23/1.62 , X ) ), ~( 'c_less'( 'c_0', Y, X ) ), ~( 'c_less'( 'c_0', Z, X ) ),
% 1.23/1.62 'c_less'( 'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.23/1.62 'c_0', X ) ), ~( 'c_less'( Z, 'c_0', X ) ), ~( 'c_less'( 'c_HOL_Oinverse'(
% 1.23/1.62 Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) ), 'c_less'( Y, Z, X ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z
% 1.23/1.62 , X ) ), ~( 'c_less'( Y, 'c_0', X ) ), ~( 'c_less'( Z, 'c_0', X ) ),
% 1.23/1.62 'c_less'( 'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'( 'c_uminus'(
% 1.23/1.62 Y, X ), X ), 'c_uminus'( 'c_HOL_Oinverse'( Y, X ), X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'( 'c_times'( Y
% 1.23/1.62 , Z, X ), X ), 'c_times'( 'c_HOL_Oinverse'( Y, X ), 'c_HOL_Oinverse'( Z,
% 1.23/1.62 X ), X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.23/1.62 'c_HOL_Oinverse'( Y, X ), 'c_0', X ) ), 'c_less'( Y, 'c_0', X ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.23/1.62 ) ), 'c_less'( 'c_HOL_Oinverse'( Y, X ), 'c_0', X ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.23/1.62 , 'c_HOL_Oinverse'( Y, X ), X ) ), 'c_lessequals'( 'c_0', Y, X ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.23/1.62 , Y, X ) ), 'c_lessequals'( 'c_0', 'c_HOL_Oinverse'( Y, X ), X ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'(
% 1.23/1.62 'c_HOL_Oinverse'( Y, X ), 'c_0', X ) ), 'c_lessequals'( Y, 'c_0', X ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.23/1.62 'c_0', X ) ), 'c_lessequals'( 'c_HOL_Oinverse'( Y, X ), 'c_0', X ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_HOL_Oinverse'( Y, X ),
% 1.23/1.62 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'( 'c_0', X ),
% 1.23/1.62 'c_0' ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.23/1.62 'c_HOL_Oinverse'( Y, X ), X ) ), 'c_less'( 'c_0', Y, X ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.23/1.62 ) ), 'c_less'( 'c_0', 'c_HOL_Oinverse'( Y, X ), X ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.23/1.62 ) ), ~( 'c_lessequals'( 'c_1', 'c_divide'( Z, Y, X ), X ) ),
% 1.23/1.62 'c_lessequals'( Z, Y, X ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.23/1.62 ) ), ~( 'c_lessequals'( Z, Y, X ) ), 'c_lessequals'( 'c_1', 'c_divide'(
% 1.23/1.62 Z, Y, X ), X ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.23/1.62 ) ), ~( 'c_lessequals'( 'c_1', 'c_divide'( Z, Y, X ), X ) ),
% 1.23/1.62 'c_lessequals'( Y, Z, X ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.23/1.62 ) ), ~( 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_1', 'c_divide'(
% 1.23/1.62 Z, Y, X ), X ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.23/1.62 ) ), ~( 'c_less'( 'c_1', 'c_divide'( Z, Y, X ), X ) ), 'c_less'( Z, Y, X
% 1.23/1.62 ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z, X ) )
% 1.23/1.62 , ~( 'c_less'( Z, 'c_0', X ) ), 'c_less'( 'c_1', 'c_divide'( Y, Z, X ), X
% 1.23/1.62 ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.23/1.62 ) ), ~( 'c_less'( 'c_1', 'c_divide'( Z, Y, X ), X ) ), 'c_less'( Y, Z, X
% 1.23/1.62 ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z, X ) )
% 1.23/1.62 , ~( 'c_less'( 'c_0', Y, X ) ), 'c_less'( 'c_1', 'c_divide'( Z, Y, X ), X
% 1.23/1.62 ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_uminus'( Y, X )
% 1.23/1.62 , 'c_uminus'( Z, X ), X ), 'c_divide'( Y, Z, X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 'c_times'( 'c_uminus'( Y
% 1.23/1.62 , X ), 'c_uminus'( Z, X ), X ), 'c_times'( Y, Z, X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( Y, 'c_times'(
% 1.23/1.62 Y, Z, X ) ) ), =( Y, 'c_0' ), =( Z, 'c_1' ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 'c_0', 'c_times'(
% 1.23/1.62 'c_0', Y, X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 'c_times'( Y
% 1.23/1.62 , 'c_1', X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_times'( Y
% 1.23/1.62 , Z, X ), Y ) ), =( Y, 'c_0' ), =( Z, 'c_1' ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( Y, 'c_times'(
% 1.23/1.62 Z, Y, X ) ) ), =( Y, 'c_0' ), =( Z, 'c_1' ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 'c_0', 'c_times'(
% 1.23/1.62 Y, 'c_0', X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 'c_times'(
% 1.23/1.62 'c_1', Y, X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_times'( Y
% 1.23/1.62 , Z, X ), Z ) ), =( Z, 'c_0' ), =( Y, 'c_1' ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_0', 'c_times'(
% 1.23/1.62 'c_0', Y, X ), X ), 'c_0' ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'( Y,
% 1.23/1.62 'c_times'( Y, Z, X ), X ), 'c_divide'( 'c_1', Z, X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_times'( 'c_0',
% 1.23/1.62 Y, X ), 'c_0', X ), 'c_0' ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'(
% 1.23/1.62 'c_times'( Y, Z, X ), Y, X ), Z ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_times'( 'c_0',
% 1.23/1.62 Y, X ), 'c_times'( 'c_0', Z, X ), X ), 'c_0' ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'(
% 1.23/1.62 'c_times'( Y, Z, X ), 'c_times'( Y, T, X ), X ), 'c_divide'( Z, T, X ) )
% 1.23/1.62 ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_0', 'c_times'(
% 1.23/1.62 Y, 'c_0', X ), X ), 'c_0' ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'( Y,
% 1.23/1.62 'c_times'( Z, Y, X ), X ), 'c_divide'( 'c_1', Z, X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_times'( Y,
% 1.23/1.62 'c_0', X ), 'c_0', X ), 'c_0' ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'(
% 1.23/1.62 'c_times'( Z, Y, X ), Y, X ), Z ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_times'( Y,
% 1.23/1.62 'c_0', X ), 'c_times'( Z, 'c_0', X ), X ), 'c_0' ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'(
% 1.23/1.62 'c_times'( Z, Y, X ), 'c_times'( T, Y, X ), X ), 'c_divide'( Z, T, X ) )
% 1.23/1.62 ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 1.23/1.62 'c_times'( Y, Z, X ), 'c_0' ) ), =( Z, 'c_0' ), =( Y, 'c_0' ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 'c_times'( 'c_uminus'( Y
% 1.23/1.62 , X ), Z, X ), 'c_uminus'( 'c_times'( Y, Z, X ), X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 'c_times'( Y, 'c_uminus'(
% 1.23/1.62 Z, X ), X ), 'c_uminus'( 'c_times'( Y, Z, X ), X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), =( 'c_times'(
% 1.23/1.62 'c_0', Y, X ), 'c_0' ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), =( 'c_times'(
% 1.23/1.62 Y, 'c_0', X ), 'c_0' ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.23/1.62 'c_lessequals'( 'c_1', 'c_0', X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'(
% 1.23/1.62 'c_1', 'c_0', X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_divide'( 'c_1'
% 1.23/1.62 , Y, X ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), =( 'c_divide'( 'c_1',
% 1.23/1.62 'c_0', X ), 'c_0' ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_1', 'c_divide'( Y, Z, X
% 1.23/1.62 ) ) ), =( Y, Z ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ), ~( =( 'c_1',
% 1.23/1.62 'c_0' ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_less'( 'c_0'
% 1.23/1.62 , 'c_1', X ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_times'(
% 1.23/1.62 Y, 'c_HOL_Oinverse'( Y, X ), X ), 'c_1' ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( Y, 'c_divide'(
% 1.23/1.62 Z, T, X ), X ), 'c_divide'( 'c_times'( Y, Z, X ), T, X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( 'c_divide'( Y
% 1.23/1.62 , Z, X ), T, X ), 'c_divide'( 'c_times'( Y, T, X ), Z, X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( 'c_divide'( Y,
% 1.23/1.62 'c_0', X ), 'c_0', X ), 'c_0' ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_times'(
% 1.23/1.62 'c_divide'( Z, Y, X ), Y, X ), Z ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( 'c_0', 'c_divide'(
% 1.23/1.62 Y, 'c_0', X ), X ), 'c_0' ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_times'( Y,
% 1.23/1.62 'c_divide'( Z, Y, X ), X ), Z ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_0', 'c_divide'(
% 1.23/1.62 'c_1', Y, X ) ) ), =( Y, 'c_0' ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), =( 'c_0', 'c_divide'(
% 1.23/1.62 'c_1', 'c_0', X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.23/1.62 , 'c_divide'( 'c_1', Y, X ), X ) ), 'c_lessequals'( 'c_0', Y, X ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.23/1.62 , Y, X ) ), 'c_lessequals'( 'c_0', 'c_divide'( 'c_1', Y, X ), X ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.23/1.62 'c_0', 'c_1', X ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.23/1.62 'c_divide'( 'c_1', Y, X ), X ) ), 'c_less'( 'c_0', Y, X ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.23/1.62 ) ), 'c_less'( 'c_0', 'c_divide'( 'c_1', Y, X ), X ) ],
% 1.23/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_uminus'(
% 1.23/1.62 'c_SetInterval_OatLeast'( Y, X ), 'tc_set'( X ) ),
% 1.23/1.62 'c_SetInterval_OlessThan'( Y, X ) ) ],
% 1.23/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_uminus'(
% 1.23/1.62 'c_SetInterval_OatMost'( Y, X ), 'tc_set'( X ) ),
% 1.23/1.62 'c_SetInterval_OgreaterThan'( Y, X ) ) ],
% 1.23/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_uminus'(
% 1.23/1.62 'c_SetInterval_OgreaterThan'( Y, X ), 'tc_set'( X ) ),
% 1.23/1.62 'c_SetInterval_OatMost'( Y, X ) ) ],
% 1.23/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_uminus'(
% 1.23/1.62 'c_SetInterval_OlessThan'( Y, X ), 'tc_set'( X ) ),
% 1.23/1.62 'c_SetInterval_OatLeast'( Y, X ) ) ],
% 1.23/1.62 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_less'( Y, Z, X ) ), =(
% 1.23/1.62 'c_SetInterval_OatLeastAtMost'( Z, Y, X ), 'c_emptyset' ) ],
% 1.23/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.23/1.62 'c_SetInterval_OatLeastAtMost'( Z, T, X ), X ) ), 'c_lessequals'( Z, Y, X
% 1.23/1.62 ) ],
% 1.23/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.23/1.62 'c_SetInterval_OatLeastAtMost'( Z, T, X ), X ) ), 'c_lessequals'( Y, T, X
% 1.23/1.62 ) ],
% 1.23/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ), ~(
% 1.23/1.62 'c_lessequals'( T, Y, X ) ), 'c_in'( Y, 'c_SetInterval_OatLeastAtMost'( T
% 1.23/1.62 , Z, X ), X ) ],
% 1.23/1.62 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_SetInterval_OatLeastAtMost'(
% 1.23/1.62 Y, Y, X ), 'c_insert'( Y, 'c_emptyset', X ) ) ],
% 1.23/1.62 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ),
% 1.23/1.62 =( 'c_SetInterval_OatLeastLessThan'( Z, Y, X ), 'c_emptyset' ) ],
% 1.23/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.23/1.62 'c_SetInterval_OatLeastLessThan'( Z, T, X ), X ) ), 'c_lessequals'( Z, Y
% 1.23/1.62 , X ) ],
% 1.23/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.23/1.62 'c_SetInterval_OatLeastLessThan'( Z, T, X ), X ) ), 'c_less'( Y, T, X ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X ) ), ~(
% 1.23/1.62 'c_lessequals'( T, Y, X ) ), 'c_in'( Y, 'c_SetInterval_OatLeastLessThan'(
% 1.23/1.62 T, Z, X ), X ) ],
% 1.23/1.62 [ =( 'c_SetInterval_OatLeastLessThan'( X, 'c_Suc'( X ), 'tc_nat' ),
% 1.23/1.62 'c_insert'( X, 'c_emptyset', 'tc_nat' ) ) ],
% 1.23/1.62 [ =( 'c_SetInterval_OatLeast'( 'c_0', 'tc_nat' ), 'c_UNIV' ) ],
% 1.23/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 'c_SetInterval_OatLeast'(
% 1.23/1.62 Y, X ), 'c_SetInterval_OatLeast'( Z, X ) ) ), =( Y, Z ) ],
% 1.23/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.23/1.62 'c_SetInterval_OatLeast'( Z, X ), X ) ), 'c_lessequals'( Z, Y, X ) ],
% 1.23/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ),
% 1.23/1.62 'c_in'( Z, 'c_SetInterval_OatLeast'( Y, X ), X ) ],
% 1.23/1.62 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'(
% 1.23/1.62 'c_SetInterval_OatLeast'( Y, X ), 'c_SetInterval_OatLeast'( Z, X ),
% 1.23/1.62 'tc_set'( X ) ) ), 'c_lessequals'( Z, Y, X ) ],
% 1.23/1.62 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ),
% 1.23/1.62 'c_lessequals'( 'c_SetInterval_OatLeast'( Z, X ),
% 1.23/1.62 'c_SetInterval_OatLeast'( Y, X ), 'tc_set'( X ) ) ],
% 1.23/1.62 [ =( 'c_SetInterval_OatMost'( 'c_0', 'tc_nat' ), 'c_insert'( 'c_0',
% 1.23/1.62 'c_emptyset', 'tc_nat' ) ) ],
% 1.23/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 'c_SetInterval_OatMost'(
% 1.23/1.62 Y, X ), 'c_SetInterval_OatMost'( Z, X ) ) ), =( Y, Z ) ],
% 1.23/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.23/1.62 'c_SetInterval_OatMost'( Z, X ), X ) ), 'c_lessequals'( Y, Z, X ) ],
% 1.23/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ),
% 1.23/1.62 'c_in'( Y, 'c_SetInterval_OatMost'( Z, X ), X ) ],
% 1.23/1.62 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'(
% 1.23/1.62 'c_SetInterval_OatMost'( Y, X ), 'c_SetInterval_OatMost'( Z, X ),
% 1.23/1.62 'tc_set'( X ) ) ), 'c_lessequals'( Y, Z, X ) ],
% 1.23/1.62 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ),
% 1.23/1.62 'c_lessequals'( 'c_SetInterval_OatMost'( Y, X ), 'c_SetInterval_OatMost'(
% 1.23/1.62 Z, X ), 'tc_set'( X ) ) ],
% 1.23/1.62 [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OatLeastAtMost'( X, Y,
% 1.23/1.62 'tc_nat' ), 'tc_nat' ), 'c_minus'( 'c_Suc'( Y ), X, 'tc_nat' ) ) ],
% 1.23/1.62 [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OatLeastAtMost'( X, Y,
% 1.23/1.62 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_IntDef_Onat'( 'c_plus'(
% 1.23/1.62 'c_minus'( Y, X, 'tc_IntDef_Oint' ), 'c_1', 'tc_IntDef_Oint' ) ) ) ],
% 1.23/1.62 [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OatLeastLessThan'( X, Y,
% 1.23/1.62 'tc_nat' ), 'tc_nat' ), 'c_minus'( Y, X, 'tc_nat' ) ) ],
% 1.23/1.62 [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OatLeastLessThan'( X, Y,
% 1.23/1.62 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_IntDef_Onat'( 'c_minus'( Y, X
% 1.23/1.62 , 'tc_IntDef_Oint' ) ) ) ],
% 1.23/1.62 [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OatMost'( X, 'tc_nat' ),
% 1.23/1.62 'tc_nat' ), 'c_Suc'( X ) ) ],
% 1.23/1.62 [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OgreaterThanAtMost'( X, Y,
% 1.23/1.62 'tc_nat' ), 'tc_nat' ), 'c_minus'( Y, X, 'tc_nat' ) ) ],
% 1.23/1.62 [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OgreaterThanAtMost'( X, Y,
% 1.23/1.62 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_IntDef_Onat'( 'c_minus'( Y, X
% 1.23/1.62 , 'tc_IntDef_Oint' ) ) ) ],
% 1.23/1.62 [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OgreaterThanLessThan'( X, Y,
% 1.23/1.62 'tc_nat' ), 'tc_nat' ), 'c_minus'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ],
% 1.23/1.62 [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OgreaterThanLessThan'( X, Y,
% 1.23/1.62 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_IntDef_Onat'( 'c_minus'( Y,
% 1.23/1.62 'c_plus'( X, 'c_1', 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ) ],
% 1.23/1.62 [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OlessThan'( X, 'tc_nat' ),
% 1.23/1.62 'tc_nat' ), X ) ],
% 1.23/1.62 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ),
% 1.23/1.62 =( 'c_SetInterval_OgreaterThanAtMost'( Z, Y, X ), 'c_emptyset' ) ],
% 1.23/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.23/1.62 'c_SetInterval_OgreaterThanAtMost'( Z, T, X ), X ) ), 'c_less'( Z, Y, X )
% 1.23/1.62 ],
% 1.23/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.23/1.62 'c_SetInterval_OgreaterThanAtMost'( Z, T, X ), X ) ), 'c_lessequals'( Y,
% 1.23/1.62 T, X ) ],
% 1.23/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X ) ), ~(
% 1.23/1.62 'c_lessequals'( Z, T, X ) ), 'c_in'( Z,
% 1.23/1.62 'c_SetInterval_OgreaterThanAtMost'( Y, T, X ), X ) ],
% 1.23/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.23/1.62 'c_SetInterval_OgreaterThanLessThan'( Z, T, X ), X ) ), 'c_less'( Z, Y, X
% 1.23/1.62 ) ],
% 1.23/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.23/1.62 'c_SetInterval_OgreaterThanLessThan'( Z, T, X ), X ) ), 'c_less'( Y, T, X
% 1.23/1.62 ) ],
% 1.23/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X ) ), ~(
% 1.23/1.62 'c_less'( T, Y, X ) ), 'c_in'( Y, 'c_SetInterval_OgreaterThanLessThan'( T
% 1.23/1.62 , Z, X ), X ) ],
% 1.23/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 1.23/1.62 'c_SetInterval_OgreaterThan'( Y, X ), 'c_SetInterval_OgreaterThan'( Z, X
% 1.23/1.62 ) ) ), =( Y, Z ) ],
% 1.23/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.23/1.62 'c_SetInterval_OgreaterThan'( Z, X ), X ) ), 'c_less'( Z, Y, X ) ],
% 1.23/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X ) ), 'c_in'( Z
% 1.23/1.62 , 'c_SetInterval_OgreaterThan'( Y, X ), X ) ],
% 1.23/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 1.23/1.62 'c_SetInterval_OgreaterThan'( Y, X ), 'c_SetInterval_OgreaterThan'( Z, X
% 1.23/1.62 ), 'tc_set'( X ) ) ), 'c_lessequals'( Z, Y, X ) ],
% 1.23/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.23/1.62 , 'c_lessequals'( 'c_SetInterval_OgreaterThan'( Z, X ),
% 1.23/1.62 'c_SetInterval_OgreaterThan'( Y, X ), 'tc_set'( X ) ) ],
% 1.23/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.23/1.62 , =( 'c_minus'( 'c_SetInterval_OatLeastLessThan'( Y, T, X ),
% 1.23/1.62 'c_SetInterval_OatLeastLessThan'( Y, Z, X ), 'tc_set'( X ) ),
% 1.23/1.62 'c_SetInterval_OatLeastLessThan'( Z, T, X ) ) ],
% 1.23/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 1.23/1.62 'c_SetInterval_OatLeastLessThan'( Y, Z, X ),
% 1.23/1.62 'c_SetInterval_OatLeastLessThan'( T, U, X ), 'tc_set'( X ) ) ),
% 1.23/1.62 'c_lessequals'( T, Y, X ), 'c_lessequals'( Z, Y, X ) ],
% 1.23/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 1.23/1.62 'c_SetInterval_OatLeastLessThan'( Y, Z, X ),
% 1.23/1.62 'c_SetInterval_OatLeastLessThan'( T, U, X ), 'tc_set'( X ) ) ),
% 1.23/1.62 'c_lessequals'( Z, U, X ), 'c_lessequals'( Z, Y, X ) ],
% 1.23/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.23/1.62 , 'c_lessequals'( 'c_SetInterval_OatLeastLessThan'( Z, Y, X ),
% 1.23/1.62 'c_SetInterval_OatLeastLessThan'( T, U, X ), 'tc_set'( X ) ) ],
% 1.23/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.23/1.62 , ~( 'c_lessequals'( T, U, X ) ), 'c_lessequals'(
% 1.23/1.62 'c_SetInterval_OatLeastLessThan'( U, Y, X ),
% 1.23/1.62 'c_SetInterval_OatLeastLessThan'( T, Z, X ), 'tc_set'( X ) ) ],
% 1.23/1.62 [ =( 'c_SetInterval_OlessThan'( 'c_0', 'tc_nat' ), 'c_emptyset' ) ],
% 1.23/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 'c_SetInterval_OlessThan'(
% 1.23/1.62 Y, X ), 'c_SetInterval_OlessThan'( Z, X ) ) ), =( Y, Z ) ],
% 1.23/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.23/1.62 'c_SetInterval_OlessThan'( Z, X ), X ) ), 'c_less'( Y, Z, X ) ],
% 1.23/1.63 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X ) ), 'c_in'( Y
% 1.23/1.63 , 'c_SetInterval_OlessThan'( Z, X ), X ) ],
% 1.23/1.63 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 1.23/1.63 'c_SetInterval_OlessThan'( Y, X ), 'c_SetInterval_OlessThan'( Z, X ),
% 1.23/1.63 'tc_set'( X ) ) ), 'c_lessequals'( Y, Z, X ) ],
% 1.23/1.63 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.23/1.63 , 'c_lessequals'( 'c_SetInterval_OlessThan'( Y, X ),
% 1.23/1.63 'c_SetInterval_OlessThan'( Z, X ), 'tc_set'( X ) ) ],
% 1.23/1.63 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_minus'( 'c_insert'( Y,
% 1.23/1.63 'c_emptyset', X ), 'c_SetInterval_OlessThan'( Y, X ), 'tc_set'( X ) ),
% 1.23/1.63 'c_insert'( Y, 'c_emptyset', X ) ) ],
% 1.23/1.63 [ =( 'c_uminus'( 'c_minus'( X, Y, 'tc_set'( Z ) ), 'tc_set'( Z ) ),
% 1.23/1.63 'c_union'( 'c_uminus'( X, 'tc_set'( Z ) ), Y, Z ) ) ],
% 1.23/1.63 [ =( 'c_uminus'( 'c_inter'( X, Y, Z ), 'tc_set'( Z ) ), 'c_union'(
% 1.23/1.63 'c_uminus'( X, 'tc_set'( Z ) ), 'c_uminus'( Y, 'tc_set'( Z ) ), Z ) ) ]
% 1.23/1.63 ,
% 1.23/1.63 [ =( 'c_uminus'( 'c_UNIV', 'tc_set'( X ) ), 'c_emptyset' ) ],
% 1.23/1.63 [ =( 'c_uminus'( 'c_union'( X, Y, Z ), 'tc_set'( Z ) ), 'c_inter'(
% 1.23/1.63 'c_uminus'( X, 'tc_set'( Z ) ), 'c_uminus'( Y, 'tc_set'( Z ) ), Z ) ) ]
% 1.23/1.63 ,
% 1.23/1.63 [ =( 'c_inter'( 'c_uminus'( X, 'tc_set'( Y ) ), X, Y ), 'c_emptyset' ) ]
% 1.23/1.63 ,
% 1.23/1.63 [ =( 'c_inter'( X, 'c_uminus'( X, 'tc_set'( Y ) ), Y ), 'c_emptyset' ) ]
% 1.23/1.63 ,
% 1.23/1.63 [ =( 'c_uminus'( 'c_emptyset', 'tc_set'( X ) ), 'c_UNIV' ) ],
% 1.23/1.63 [ ~( =( 'c_uminus'( X, 'tc_set'( Y ) ), 'c_uminus'( Z, 'tc_set'( Y ) ) )
% 1.23/1.63 ), =( X, Z ) ],
% 1.23/1.63 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_uminus'( Y, 'tc_set'( Z ) ),
% 1.23/1.63 Z ) ) ],
% 1.23/1.63 [ 'c_in'( X, Y, Z ), 'c_in'( X, 'c_uminus'( Y, 'tc_set'( Z ) ), Z ) ]
% 1.23/1.63 ,
% 1.23/1.63 [ ~( 'c_lessequals'( 'c_uminus'( X, 'tc_set'( Y ) ), 'c_uminus'( Z,
% 1.23/1.63 'tc_set'( Y ) ), 'tc_set'( Y ) ) ), 'c_lessequals'( Z, X, 'tc_set'( Y ) )
% 1.23/1.63 ],
% 1.23/1.63 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_uminus'(
% 1.23/1.63 Y, 'tc_set'( Z ) ), 'c_uminus'( X, 'tc_set'( Z ) ), 'tc_set'( Z ) ) ]
% 1.23/1.63 ,
% 1.23/1.63 [ =( 'c_minus'( X, 'c_uminus'( Y, 'tc_set'( Z ) ), 'tc_set'( Z ) ),
% 1.23/1.63 'c_inter'( X, Y, Z ) ) ],
% 1.23/1.63 [ =( 'c_minus'( X, 'c_UNIV', 'tc_set'( Y ) ), 'c_emptyset' ) ],
% 1.23/1.63 [ =( 'c_minus'( X, X, 'tc_set'( Y ) ), 'c_emptyset' ) ],
% 1.23/1.63 [ =( 'c_inter'( X, 'c_minus'( Y, X, 'tc_set'( Z ) ), Z ), 'c_emptyset' )
% 1.23/1.63 ],
% 1.23/1.63 [ =( 'c_minus'( X, 'c_emptyset', 'tc_set'( Y ) ), X ) ],
% 1.23/1.63 [ ~( =( 'c_minus'( X, Y, 'tc_set'( Z ) ), 'c_emptyset' ) ),
% 1.23/1.63 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ],
% 1.23/1.63 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), =( 'c_minus'( X, Y,
% 1.23/1.63 'tc_set'( Z ) ), 'c_emptyset' ) ],
% 1.23/1.63 [ =( 'c_minus'( 'c_minus'( X, Y, 'tc_set'( Z ) ), Y, 'tc_set'( Z ) ),
% 1.23/1.63 'c_minus'( X, Y, 'tc_set'( Z ) ) ) ],
% 1.23/1.63 [ ~( 'c_in'( X, 'c_minus'( Y, Z, 'tc_set'( T ) ), T ) ), 'c_in'( X, Y, T
% 1.23/1.63 ) ],
% 1.23/1.63 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_minus'( T, Y, 'tc_set'( Z ) )
% 1.23/1.63 , Z ) ) ],
% 1.23/1.63 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, T, Z ), 'c_in'( X, 'c_minus'( Y, T
% 1.23/1.63 , 'tc_set'( Z ) ), Z ) ],
% 1.23/1.63 [ 'c_in'( X, Y, Z ), =( 'c_minus'( Y, 'c_insert'( X, T, Z ), 'tc_set'( Z
% 1.23/1.63 ) ), 'c_minus'( Y, T, 'tc_set'( Z ) ) ) ],
% 1.23/1.63 [ ~( =( 'c_inter'( X, Y, Z ), 'c_UNIV' ) ), =( X, 'c_UNIV' ) ],
% 1.23/1.63 [ ~( =( 'c_inter'( X, Y, Z ), 'c_UNIV' ) ), =( Y, 'c_UNIV' ) ],
% 1.23/1.63 [ =( 'c_inter'( 'c_UNIV', 'c_UNIV', X ), 'c_UNIV' ) ],
% 1.23/1.63 [ =( 'c_inter'( 'c_UNIV', X, Y ), X ) ],
% 1.23/1.63 [ =( 'c_inter'( X, 'c_UNIV', Y ), X ) ],
% 1.23/1.63 [ =( 'c_inter'( X, X, Y ), X ) ],
% 1.23/1.63 [ =( 'c_inter'( 'c_emptyset', X, Y ), 'c_emptyset' ) ],
% 1.23/1.63 [ =( 'c_inter'( X, 'c_emptyset', Y ), 'c_emptyset' ) ],
% 1.23/1.63 [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Y, T ) ],
% 1.23/1.63 [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ) ],
% 1.23/1.63 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), 'c_in'( X, 'c_inter'(
% 1.23/1.63 T, Y, Z ), Z ) ],
% 1.23/1.63 [ ~( 'c_lessequals'( X, 'c_inter'( Y, Z, T ), 'tc_set'( T ) ) ),
% 1.23/1.63 'c_lessequals'( X, Y, 'tc_set'( T ) ) ],
% 1.23/1.63 [ ~( 'c_lessequals'( X, 'c_inter'( Y, Z, T ), 'tc_set'( T ) ) ),
% 1.23/1.63 'c_lessequals'( X, Z, 'tc_set'( T ) ) ],
% 1.23/1.63 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( X, T,
% 1.23/1.63 'tc_set'( Z ) ) ), 'c_lessequals'( X, 'c_inter'( T, Y, Z ), 'tc_set'( Z )
% 1.23/1.63 ) ],
% 1.23/1.63 [ =( 'c_Inter'( 'c_UNIV', X ), 'c_emptyset' ) ],
% 1.23/1.63 [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( =( 'c_Inter'( Y, Z ), 'c_UNIV'
% 1.23/1.63 ) ), =( X, 'c_UNIV' ) ],
% 1.23/1.63 [ 'c_in'( 'c_Main_OInter__UNIV__conv__1__1'( X, Y ), X, 'tc_set'( Y ) )
% 1.23/1.63 , =( 'c_Inter'( X, Y ), 'c_UNIV' ) ],
% 1.23/1.63 [ ~( =( 'c_Main_OInter__UNIV__conv__1__1'( X, Y ), 'c_UNIV' ) ), =(
% 1.23/1.63 'c_Inter'( X, Y ), 'c_UNIV' ) ],
% 1.23/1.63 [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( =( 'c_UNIV', 'c_Inter'( Y, Z )
% 1.23/1.63 ) ), =( X, 'c_UNIV' ) ],
% 1.23/1.63 [ 'c_in'( 'c_Main_OInter__UNIV__conv__2__1'( X, Y ), X, 'tc_set'( Y ) )
% 1.23/1.63 , =( 'c_UNIV', 'c_Inter'( X, Y ) ) ],
% 1.23/1.63 [ ~( =( 'c_Main_OInter__UNIV__conv__2__1'( X, Y ), 'c_UNIV' ) ), =(
% 1.23/1.63 'c_UNIV', 'c_Inter'( X, Y ) ) ],
% 1.23/1.63 [ =( 'c_Inter'( 'c_emptyset', X ), 'c_UNIV' ) ],
% 1.23/1.63 [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_in'( T, 'c_Inter'( Y, Z ), Z
% 1.23/1.63 ) ), 'c_in'( T, X, Z ) ],
% 1.23/1.63 [ 'c_in'( X, 'c_Inter'( Y, Z ), Z ), 'c_in'( 'c_Main_OInter__iff__1'( X
% 1.23/1.63 , Y, Z ), Y, 'tc_set'( Z ) ) ],
% 1.23/1.63 [ ~( 'c_in'( X, 'c_Main_OInter__iff__1'( X, Y, Z ), Z ) ), 'c_in'( X,
% 1.23/1.63 'c_Inter'( Y, Z ), Z ) ],
% 1.23/1.63 [ =( 'c_Inter'( 'c_insert'( X, Y, 'tc_set'( Z ) ), Z ), 'c_inter'( X,
% 1.23/1.63 'c_Inter'( Y, Z ), Z ) ) ],
% 1.23/1.63 [ =( 'c_Pow'( 'c_inter'( X, Y, Z ), Z ), 'c_inter'( 'c_Pow'( X, Z ),
% 1.23/1.63 'c_Pow'( Y, Z ), 'tc_set'( Z ) ) ) ],
% 1.23/1.63 [ =( 'c_Pow'( 'c_UNIV', X ), 'c_UNIV' ) ],
% 1.23/1.63 [ =( 'c_Pow'( 'c_emptyset', X ), 'c_insert'( 'c_emptyset', 'c_emptyset'
% 1.23/1.63 , 'tc_set'( X ) ) ) ],
% 1.23/1.63 [ ~( 'c_in'( X, 'c_Pow'( Y, Z ), 'tc_set'( Z ) ) ), 'c_lessequals'( X, Y
% 1.23/1.63 , 'tc_set'( Z ) ) ],
% 1.23/1.63 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_in'( X, 'c_Pow'( Y, Z )
% 1.23/1.63 , 'tc_set'( Z ) ) ],
% 1.23/1.63 [ ~( =( 'c_UNIV', 'c_emptyset' ) ) ],
% 1.23/1.63 [ =( 'c_union'( 'c_minus'( X, Y, 'tc_set'( Z ) ), Y, Z ), 'c_union'( X,
% 1.23/1.63 Y, Z ) ) ],
% 1.23/1.63 [ =( 'c_union'( X, 'c_minus'( Y, X, 'tc_set'( Z ) ), Z ), 'c_union'( X,
% 1.23/1.63 Y, Z ) ) ],
% 1.23/1.63 [ =( 'c_union'( 'c_UNIV', X, Y ), 'c_UNIV' ) ],
% 1.23/1.63 [ =( 'c_union'( X, 'c_UNIV', Y ), 'c_UNIV' ) ],
% 1.23/1.63 [ =( 'c_union'( X, X, Y ), X ) ],
% 1.23/1.63 [ ~( =( 'c_union'( X, Y, Z ), 'c_emptyset' ) ), =( X, 'c_emptyset' ) ]
% 1.23/1.63 ,
% 1.23/1.63 [ ~( =( 'c_union'( X, Y, Z ), 'c_emptyset' ) ), =( Y, 'c_emptyset' ) ]
% 1.23/1.63 ,
% 1.23/1.63 [ =( 'c_union'( 'c_emptyset', 'c_emptyset', X ), 'c_emptyset' ) ],
% 1.23/1.63 [ =( 'c_union'( 'c_emptyset', X, Y ), X ) ],
% 1.23/1.63 [ =( 'c_union'( X, 'c_emptyset', Y ), X ) ],
% 1.23/1.63 [ ~( 'c_in'( X, 'c_union'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ), 'c_in'(
% 1.23/1.63 X, Y, T ) ],
% 1.23/1.63 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( Y, T, Z ), Z ) ],
% 1.23/1.63 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( T, Y, Z ), Z ) ],
% 1.23/1.63 [ =( 'c_union'( 'c_insert'( X, Y, Z ), T, Z ), 'c_insert'( X, 'c_union'(
% 1.23/1.63 Y, T, Z ), Z ) ) ],
% 1.23/1.63 [ =( 'c_union'( X, 'c_insert'( Y, Z, T ), T ), 'c_insert'( Y, 'c_union'(
% 1.23/1.63 X, Z, T ), T ) ) ],
% 1.23/1.63 [ ~( 'c_lessequals'( 'c_union'( X, Y, Z ), T, 'tc_set'( Z ) ) ),
% 1.23/1.63 'c_lessequals'( X, T, 'tc_set'( Z ) ) ],
% 1.23/1.63 [ ~( 'c_lessequals'( 'c_union'( X, Y, Z ), T, 'tc_set'( Z ) ) ),
% 1.23/1.63 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ],
% 1.23/1.63 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( T, Y,
% 1.23/1.63 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_union'( T, X, Z ), Y, 'tc_set'( Z )
% 1.23/1.63 ) ],
% 1.23/1.63 [ =( 'c_Union'( 'c_Pow'( X, Y ), Y ), X ) ],
% 1.23/1.63 [ =( 'c_Union'( 'c_UNIV', X ), 'c_UNIV' ) ],
% 1.23/1.63 [ =( 'c_Union'( 'c_union'( X, Y, 'tc_set'( Z ) ), Z ), 'c_union'(
% 1.23/1.63 'c_Union'( X, Z ), 'c_Union'( Y, Z ), Z ) ) ],
% 1.23/1.63 [ =( 'c_Union'( 'c_emptyset', X ), 'c_emptyset' ) ],
% 1.23/1.63 [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( =( 'c_Union'( Y, Z ),
% 1.23/1.63 'c_emptyset' ) ), =( X, 'c_emptyset' ) ],
% 1.23/1.63 [ 'c_in'( 'c_Main_OUnion__empty__conv__1'( X, Y ), X, 'tc_set'( Y ) ),
% 1.23/1.63 =( 'c_Union'( X, Y ), 'c_emptyset' ) ],
% 1.23/1.63 [ ~( =( 'c_Main_OUnion__empty__conv__1'( X, Y ), 'c_emptyset' ) ), =(
% 1.23/1.63 'c_Union'( X, Y ), 'c_emptyset' ) ],
% 1.23/1.63 [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'(
% 1.23/1.63 'c_Main_OUnion__iff__1'( X, Y, Z ), Y, 'tc_set'( Z ) ) ],
% 1.23/1.63 [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( X,
% 1.23/1.63 'c_Main_OUnion__iff__1'( X, Y, Z ), Z ) ],
% 1.23/1.63 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( Y, T, 'tc_set'( Z ) ) ), 'c_in'( X
% 1.23/1.63 , 'c_Union'( T, Z ), Z ) ],
% 1.23/1.63 [ =( 'c_Union'( 'c_insert'( X, Y, 'tc_set'( Z ) ), Z ), 'c_union'( X,
% 1.23/1.63 'c_Union'( Y, Z ), Z ) ) ],
% 1.23/1.63 [ 'c_in'( 'c_Main_Oall__not__in__conv__1'( X, Y ), X, Y ), =( X,
% 1.23/1.63 'c_emptyset' ) ],
% 1.23/1.63 [ =( 'c_Set_Ocontents'( 'c_insert'( X, 'c_emptyset', Y ), Y ), X ) ]
% 1.23/1.63 ,
% 1.23/1.63 [ ~( 'c_in'( X, Y, Z ) ), ~( =( 'c_inter'( Y, 'c_insert'( X, T, Z ), Z )
% 1.23/1.63 , 'c_emptyset' ) ) ],
% 1.23/1.63 [ ~( =( 'c_inter'( X, 'c_insert'( Y, Z, T ), T ), 'c_emptyset' ) ), =(
% 1.23/1.63 'c_inter'( X, Z, T ), 'c_emptyset' ) ],
% 1.23/1.63 [ ~( =( 'c_inter'( X, Y, Z ), 'c_emptyset' ) ), 'c_in'( T, X, Z ), =(
% 1.23/1.63 'c_inter'( X, 'c_insert'( T, Y, Z ), Z ), 'c_emptyset' ) ],
% 1.23/1.63 [ ~( 'c_in'( X, Y, Z ) ), ~( =( 'c_emptyset', 'c_inter'( Y, 'c_insert'(
% 1.23/1.63 X, T, Z ), Z ) ) ) ],
% 1.23/1.63 [ ~( =( 'c_emptyset', 'c_inter'( X, 'c_insert'( Y, Z, T ), T ) ) ), =(
% 1.23/1.63 'c_emptyset', 'c_inter'( X, Z, T ) ) ],
% 1.23/1.63 [ ~( =( 'c_emptyset', 'c_inter'( X, Y, Z ) ) ), 'c_in'( T, X, Z ), =(
% 1.23/1.63 'c_emptyset', 'c_inter'( X, 'c_insert'( T, Y, Z ), Z ) ) ],
% 1.23/1.63 [ =( 'c_uminus'( 'c_uminus'( X, 'tc_set'( Y ) ), 'tc_set'( Y ) ), X ) ]
% 1.23/1.63 ,
% 1.23/1.63 [ =( 'c_minus'( 'c_emptyset', X, 'tc_set'( Y ) ), 'c_emptyset' ) ],
% 1.23/1.63 [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( =( 'c_emptyset', 'c_Union'( Y,
% 1.23/1.63 Z ) ) ), =( X, 'c_emptyset' ) ],
% 1.23/1.63 [ 'c_in'( 'c_Main_Oempty__Union__conv__1'( X, Y ), X, 'tc_set'( Y ) ),
% 1.23/1.63 =( 'c_emptyset', 'c_Union'( X, Y ) ) ],
% 1.23/1.63 [ ~( =( 'c_Main_Oempty__Union__conv__1'( X, Y ), 'c_emptyset' ) ), =(
% 1.23/1.63 'c_emptyset', 'c_Union'( X, Y ) ) ],
% 1.23/1.63 [ ~( 'c_in'( X, 'c_emptyset', Y ) ) ],
% 1.23/1.63 [ ~( =( 'c_emptyset', 'c_insert'( X, Y, Z ) ) ) ],
% 1.23/1.63 [ ~( 'c_in'( X, Y, Z ) ), =( 'c_minus'( 'c_insert'( X, T, Z ), Y,
% 1.23/1.63 'tc_set'( Z ) ), 'c_minus'( T, Y, 'tc_set'( Z ) ) ) ],
% 1.23/1.63 [ =( 'c_insert'( X, 'c_minus'( Y, 'c_insert'( X, 'c_emptyset', Z ),
% 1.23/1.63 'tc_set'( Z ) ), Z ), 'c_insert'( X, Y, Z ) ) ],
% 1.23/1.63 [ =( 'c_insert'( X, 'c_insert'( X, Y, Z ), Z ), 'c_insert'( X, Y, Z ) )
% 1.23/1.63 ],
% 1.23/1.63 [ ~( 'c_in'( X, Y, Z ) ), ~( =( 'c_inter'( 'c_insert'( X, T, Z ), Y, Z )
% 1.23/1.63 , 'c_emptyset' ) ) ],
% 1.23/1.63 [ ~( =( 'c_inter'( 'c_insert'( X, Y, Z ), T, Z ), 'c_emptyset' ) ), =(
% 1.23/1.63 'c_inter'( Y, T, Z ), 'c_emptyset' ) ],
% 1.23/1.63 [ ~( =( 'c_inter'( X, Y, Z ), 'c_emptyset' ) ), 'c_in'( T, Y, Z ), =(
% 1.23/1.63 'c_inter'( 'c_insert'( T, X, Z ), Y, Z ), 'c_emptyset' ) ],
% 1.23/1.63 [ ~( 'c_in'( X, Y, Z ) ), ~( =( 'c_emptyset', 'c_inter'( 'c_insert'( X,
% 1.23/1.63 T, Z ), Y, Z ) ) ) ],
% 1.23/1.63 [ ~( =( 'c_emptyset', 'c_inter'( 'c_insert'( X, Y, Z ), T, Z ) ) ), =(
% 1.23/1.63 'c_emptyset', 'c_inter'( Y, T, Z ) ) ],
% 1.23/1.63 [ ~( =( 'c_emptyset', 'c_inter'( X, Y, Z ) ) ), 'c_in'( T, Y, Z ), =(
% 1.23/1.63 'c_emptyset', 'c_inter'( 'c_insert'( T, X, Z ), Y, Z ) ) ],
% 1.23/1.63 [ ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ), =( X, Y
% 1.23/1.63 ) ],
% 1.23/1.63 [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ],
% 1.23/1.63 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_insert'( T, Y, Z ), Z ) ],
% 1.23/1.63 [ =( 'c_inter'( 'c_insert'( X, Y, Z ), 'c_insert'( X, T, Z ), Z ),
% 1.23/1.63 'c_insert'( X, 'c_inter'( Y, T, Z ), Z ) ) ],
% 1.23/1.63 [ ~( =( 'c_insert'( X, Y, Z ), 'c_emptyset' ) ) ],
% 1.23/1.63 [ ~( 'c_lessequals'( 'c_insert'( X, Y, Z ), T, 'tc_set'( Z ) ) ), 'c_in'(
% 1.23/1.63 X, T, Z ) ],
% 1.23/1.63 [ ~( 'c_lessequals'( 'c_insert'( X, Y, Z ), T, 'tc_set'( Z ) ) ),
% 1.23/1.63 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ],
% 1.23/1.63 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( T, Y, 'tc_set'( Z ) ) ),
% 1.23/1.63 'c_lessequals'( 'c_insert'( X, T, Z ), Y, 'tc_set'( Z ) ) ],
% 1.23/1.63 [ ~( 'c_less'( X, 'c_emptyset', 'tc_set'( Y ) ) ) ],
% 1.23/1.63 [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, T, Y ) ) ), =(
% 1.23/1.63 Z, X ) ],
% 1.23/1.63 [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, T, Y ) ) ),
% 1.23/1.63 'c_lessequals'( T, 'c_insert'( X, 'c_emptyset', Y ), 'tc_set'( Y ) ) ]
% 1.23/1.63 ,
% 1.23/1.63 [ ~( 'c_lessequals'( X, 'c_insert'( Y, 'c_emptyset', Z ), 'tc_set'( Z )
% 1.23/1.63 ) ), =( 'c_insert'( Y, 'c_emptyset', Z ), 'c_insert'( Y, X, Z ) ) ],
% 1.23/1.63 [ ~( =( 'c_insert'( X, Y, Z ), 'c_insert'( T, 'c_emptyset', Z ) ) ), =(
% 1.23/1.63 X, T ) ],
% 1.23/1.63 [ ~( =( 'c_insert'( X, Y, Z ), 'c_insert'( T, 'c_emptyset', Z ) ) ),
% 1.23/1.63 'c_lessequals'( Y, 'c_insert'( T, 'c_emptyset', Z ), 'tc_set'( Z ) ) ]
% 1.23/1.63 ,
% 1.23/1.63 [ ~( 'c_lessequals'( X, 'c_insert'( Y, 'c_emptyset', Z ), 'tc_set'( Z )
% 1.23/1.63 ) ), =( 'c_insert'( Y, X, Z ), 'c_insert'( Y, 'c_emptyset', Z ) ) ],
% 1.23/1.63 [ 'c_lessequals'( X, 'c_UNIV', 'tc_set'( Y ) ) ],
% 1.23/1.63 [ ~( 'c_lessequals'( X, 'c_emptyset', 'tc_set'( Y ) ) ), =( X,
% 1.23/1.63 'c_emptyset' ) ],
% 1.23/1.63 [ 'c_lessequals'( 'c_emptyset', 'c_emptyset', 'tc_set'( X ) ) ],
% 1.23/1.63 [ ~( =( 'c_Sum__Type_OInl'( X, Y, Z ), 'c_Sum__Type_OInl'( T, Y, Z ) ) )
% 1.23/1.63 , =( X, T ) ],
% 1.23/1.63 [ ~( =( 'c_Sum__Type_OInl'( X, Y, Z ), 'c_Sum__Type_OInr'( T, Z, Y ) ) )
% 1.23/1.63 ],
% 1.23/1.63 [ ~( =( 'c_Sum__Type_OInr'( X, Y, Z ), 'c_Sum__Type_OInr'( T, Y, Z ) ) )
% 1.23/1.63 , =( X, T ) ],
% 1.23/1.63 [ ~( =( 'c_Sum__Type_OInr'( X, Y, Z ), 'c_Sum__Type_OInl'( T, Z, Y ) ) )
% 1.23/1.63 ],
% 1.23/1.63 [ =( 'c_Sum__Type_OPlus'( 'c_UNIV', 'c_UNIV', X, Y ), 'c_UNIV' ) ],
% 1.23/1.63 [ =( 'c_Relation_ODomain'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y,
% 1.23/1.63 Y ), 'c_UNIV' ) ],
% 1.23/1.63 [ =( 'c_Relation_ORange'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y
% 1.23/1.63 ), 'c_UNIV' ) ],
% 1.23/1.63 [ =( 'c_union'( 'c_Transitive__Closure_Otrancl'( X, Y ),
% 1.23/1.63 'c_Relation_OId', 'tc_prod'( Y, Y ) ), 'c_Transitive__Closure_Ortrancl'(
% 1.23/1.63 X, Y ) ) ],
% 1.23/1.63 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_emptyset', X ),
% 1.23/1.63 'c_Relation_OId' ) ],
% 1.23/1.63 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Transitive__Closure_Ortrancl'(
% 1.23/1.63 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 1.23/1.63 [ =( 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 1.23/1.63 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ),
% 1.23/1.63 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 1.23/1.63 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_union'( X, 'c_Relation_OId',
% 1.23/1.63 'tc_prod'( Y, Y ) ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ]
% 1.23/1.63 ,
% 1.23/1.63 [ =( 'c_Relation_ODomain'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 1.23/1.63 ), 'c_Relation_ODomain'( X, Y, Y ) ) ],
% 1.23/1.63 [ =( 'c_Transitive__Closure_Otrancl'( 'c_emptyset', X ), 'c_emptyset' )
% 1.23/1.63 ],
% 1.23/1.63 [ =( 'c_Relation_ORange'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 1.23/1.63 ), 'c_Relation_ORange'( X, Y, Y ) ) ],
% 1.23/1.63 [ =( 'c_Transitive__Closure_Otrancl'( 'c_union'( X, 'c_Relation_OId',
% 1.23/1.63 'tc_prod'( Y, Y ) ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ]
% 1.23/1.63 ,
% 1.23/1.63 [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_Relation_Oconverse'( X, Y,
% 1.23/1.63 Y ), Y ) ), 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ],
% 1.23/1.63 [ ~( 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ),
% 1.23/1.63 'c_Wellfounded__Recursion_Oacyclic'( 'c_Relation_Oconverse'( X, Y, Y ), Y
% 1.23/1.63 ) ],
% 1.23/1.63 [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( X, Y, Z
% 1.23/1.63 , Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), 'c_Wellfounded__Recursion_Oacyclic'(
% 1.23/1.63 T, Z ) ],
% 1.23/1.63 [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( X, Y, Z
% 1.23/1.63 , Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 1.23/1.63 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 1.23/1.63 [ ~( 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ),
% 1.23/1.63 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( Z, T, Y, Y ),
% 1.23/1.63 X, 'tc_prod'( Y, Y ) ), Y ), 'c_in'( 'c_Pair'( T, Z, Y, Y ),
% 1.23/1.63 'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ],
% 1.23/1.63 [ ~( 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( X, Y, Z, Z )
% 1.23/1.63 , T, 'tc_prod'( Z, Z ) ), Z ) ), 'c_Wellfounded__Recursion_Owf'( T, Z ) ]
% 1.23/1.63 ,
% 1.23/1.63 [ ~( 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( X, Y, Z, Z )
% 1.23/1.63 , T, 'tc_prod'( Z, Z ) ), Z ) ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 1.23/1.63 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 1.23/1.63 [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ),
% 1.23/1.63 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( Z, T, Y, Y ), X,
% 1.23/1.63 'tc_prod'( Y, Y ) ), Y ), 'c_in'( 'c_Pair'( T, Z, Y, Y ),
% 1.23/1.63 'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ],
% 1.23/1.63 [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), ~( 'c_in'( 'c_Pair'( Z, Z
% 1.23/1.63 , Y, Y ), X, 'tc_prod'( Y, Y ) ) ) ],
% 1.23/1.63 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ),
% 1.23/1.63 'c_Wellfounded__Relations_Oless__than', 'tc_prod'( 'tc_nat', 'tc_nat' ) )
% 1.23/1.63 ), 'c_less'( X, Y, 'tc_nat' ) ],
% 1.23/1.63 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_in'( 'c_Pair'( X, Y, 'tc_nat',
% 1.23/1.63 'tc_nat' ), 'c_Wellfounded__Relations_Oless__than', 'tc_prod'( 'tc_nat',
% 1.23/1.63 'tc_nat' ) ) ],
% 1.23/1.63 [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'( Z ),
% 1.23/1.63 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oparts'( Z ),
% 1.23/1.63 'tc_Message_Omsg' ) ],
% 1.23/1.63 [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'( Z ),
% 1.23/1.63 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oparts'( Z ),
% 1.23/1.63 'tc_Message_Omsg' ) ],
% 1.23/1.63 [ ~( =( 'c_Message_Oagent_OServer', 'c_Message_Oagent_OFriend'( X ) ) )
% 1.23/1.63 ],
% 1.23/1.63 [ ~( =( 'c_Message_Oagent_OFriend'( X ), 'c_Message_Oagent_OServer' ) )
% 1.23/1.63 ],
% 1.23/1.63 [ ~( =( 'c_Message_Oagent_OServer', 'c_Message_Oagent_OSpy' ) ) ],
% 1.23/1.63 [ ~( =( 'c_Message_Oagent_OSpy', 'c_Message_Oagent_OServer' ) ) ],
% 1.23/1.63 [ ~( =( 'c_Message_Oagent_OFriend'( X ), 'c_Message_Oagent_OSpy' ) ) ]
% 1.23/1.63 ,
% 1.23/1.63 [ ~( =( 'c_Message_Oagent_OSpy', 'c_Message_Oagent_OFriend'( X ) ) ) ]
% 1.23/1.63 ,
% 1.23/1.63 [ ~( =( 'c_Message_Oagent_OFriend'( X ), 'c_Message_Oagent_OFriend'( Y )
% 1.23/1.63 ) ), =( X, Y ) ],
% 1.23/1.63 [ =( 'c_Nat_Osize'( 'c_Message_Oagent_OServer', 'tc_Message_Oagent' ),
% 1.23/1.63 'c_0' ) ],
% 1.23/1.63 [ =( 'c_Nat_Osize'( 'c_Message_Oagent_OFriend'( X ), 'tc_Message_Oagent'
% 1.23/1.63 ), 'c_0' ) ],
% 1.23/1.63 [ =( 'c_Nat_Osize'( 'c_Message_Oagent_OSpy', 'tc_Message_Oagent' ),
% 1.23/1.63 'c_0' ) ],
% 1.23/1.63 [ =( 'c_Message_OinvKey'( 'c_Message_OinvKey'( X ) ), X ) ],
% 1.23/1.63 [ ~( =( 'c_Message_OinvKey'( X ), 'c_Message_OinvKey'( Y ) ) ), =( X, Y
% 1.23/1.63 ) ],
% 1.23/1.63 [ =( 'c_Message_OkeysFor'( 'c_union'( X, Y, 'tc_Message_Omsg' ) ),
% 1.23/1.63 'c_union'( 'c_Message_OkeysFor'( X ), 'c_Message_OkeysFor'( Y ), 'tc_nat'
% 1.23/1.63 ) ) ],
% 1.23/1.63 [ =( 'c_Message_OkeysFor'( 'c_emptyset' ), 'c_emptyset' ) ],
% 1.23/1.63 [ =( 'c_Message_OkeysFor'( 'c_insert'( 'c_Message_Omsg_OAgent'( X ), Y,
% 1.23/1.63 'tc_Message_Omsg' ) ), 'c_Message_OkeysFor'( Y ) ) ],
% 1.23/1.63 [ =( 'c_Message_OkeysFor'( 'c_insert'( 'c_Message_Omsg_OCrypt'( X, Y ),
% 1.23/1.63 Z, 'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_OinvKey'( X ),
% 1.23/1.63 'c_Message_OkeysFor'( Z ), 'tc_nat' ) ) ],
% 1.23/1.63 [ =( 'c_Message_OkeysFor'( 'c_insert'( 'c_Message_Omsg_OHash'( X ), Y,
% 1.23/1.63 'tc_Message_Omsg' ) ), 'c_Message_OkeysFor'( Y ) ) ],
% 1.23/1.63 [ =( 'c_Message_OkeysFor'( 'c_insert'( 'c_Message_Omsg_OKey'( X ), Y,
% 1.23/1.63 'tc_Message_Omsg' ) ), 'c_Message_OkeysFor'( Y ) ) ],
% 1.23/1.63 [ =( 'c_Message_OkeysFor'( 'c_insert'( 'c_Message_Omsg_OMPair'( X, Y ),
% 1.23/1.63 Z, 'tc_Message_Omsg' ) ), 'c_Message_OkeysFor'( Z ) ) ],
% 1.23/1.63 [ =( 'c_Message_OkeysFor'( 'c_insert'( 'c_Message_Omsg_ONonce'( X ), Y,
% 1.23/1.63 'tc_Message_Omsg' ) ), 'c_Message_OkeysFor'( Y ) ) ],
% 1.23/1.63 [ =( 'c_Message_OkeysFor'( 'c_insert'( 'c_Message_Omsg_ONumber'( X ), Y
% 1.23/1.63 , 'tc_Message_Omsg' ) ), 'c_Message_OkeysFor'( Y ) ) ],
% 1.23/1.63 [ ~( =( 'c_Message_Omsg_OAgent'( X ), 'c_Message_Omsg_OAgent'( Y ) ) ),
% 1.23/1.63 =( X, Y ) ],
% 1.23/1.63 [ ~( =( 'c_Message_Omsg_ONumber'( X ), 'c_Message_Omsg_ONumber'( Y ) ) )
% 1.23/1.63 , =( X, Y ) ],
% 1.23/1.63 [ ~( =( 'c_Message_Omsg_ONonce'( X ), 'c_Message_Omsg_ONonce'( Y ) ) ),
% 1.23/1.63 =( X, Y ) ],
% 1.23/1.63 [ ~( =( 'c_Message_Omsg_OKey'( X ), 'c_Message_Omsg_OKey'( Y ) ) ), =( X
% 1.23/1.63 , Y ) ],
% 1.23/1.63 [ ~( =( 'c_Message_Omsg_OHash'( X ), 'c_Message_Omsg_OHash'( Y ) ) ),
% 1.23/1.63 =( X, Y ) ],
% 1.23/1.63 [ ~( =( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Omsg_OMPair'( Z, T )
% 1.23/1.63 ) ), =( X, Z ) ],
% 1.23/1.63 [ ~( =( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Omsg_OMPair'( Z, T )
% 1.23/1.63 ) ), =( Y, T ) ],
% 1.23/1.63 [ ~( =( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Omsg_OCrypt'( Z, T )
% 1.23/1.63 ) ), =( X, Z ) ],
% 1.23/1.63 [ ~( =( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Omsg_OCrypt'( Z, T )
% 1.23/1.63 ) ), =( Y, T ) ],
% 1.23/1.63 [ =( 'c_Nat_Osize'( 'c_Message_Omsg_OAgent'( X ), 'tc_Message_Omsg' ),
% 1.23/1.63 'c_0' ) ],
% 1.23/1.63 [ =( 'c_Nat_Osize'( 'c_Message_Omsg_ONumber'( X ), 'tc_Message_Omsg' ),
% 1.23/1.63 'c_0' ) ],
% 1.23/1.63 [ =( 'c_Nat_Osize'( 'c_Message_Omsg_ONonce'( X ), 'tc_Message_Omsg' ),
% 1.23/1.63 'c_0' ) ],
% 1.23/1.63 [ =( 'c_Nat_Osize'( 'c_Message_Omsg_OKey'( X ), 'tc_Message_Omsg' ),
% 1.23/1.63 'c_0' ) ],
% 1.23/1.63 [ =( 'c_Nat_Osize'( 'c_Message_Omsg_OHash'( X ), 'tc_Message_Omsg' ),
% 1.23/1.63 'c_plus'( 'c_Nat_Osize'( X, 'tc_Message_Omsg' ), 'c_Suc'( 'c_0' ),
% 1.23/1.63 'tc_nat' ) ) ],
% 1.23/1.63 [ =( 'c_Nat_Osize'( 'c_Message_Omsg_OMPair'( X, Y ), 'tc_Message_Omsg' )
% 1.23/1.63 , 'c_plus'( 'c_plus'( 'c_Nat_Osize'( X, 'tc_Message_Omsg' ),
% 1.23/1.63 'c_Nat_Osize'( Y, 'tc_Message_Omsg' ), 'tc_nat' ), 'c_Suc'( 'c_0' ),
% 1.23/1.63 'tc_nat' ) ) ],
% 1.23/1.63 [ =( 'c_Nat_Osize'( 'c_Message_Omsg_OCrypt'( X, Y ), 'tc_Message_Omsg' )
% 1.23/1.63 , 'c_plus'( 'c_Nat_Osize'( Y, 'tc_Message_Omsg' ), 'c_Suc'( 'c_0' ),
% 1.23/1.63 'tc_nat' ) ) ],
% 1.23/1.63 [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oparts'(
% 1.23/1.63 Y ), 'tc_Message_Omsg' ) ],
% 1.23/1.63 [ =( 'c_Message_Oparts'( 'c_union'( X, Y, 'tc_Message_Omsg' ) ),
% 1.23/1.63 'c_union'( 'c_Message_Oparts'( X ), 'c_Message_Oparts'( Y ),
% 1.23/1.63 'tc_Message_Omsg' ) ) ],
% 1.23/1.63 [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_emptyset' ), 'tc_Message_Omsg' )
% 1.23/1.63 ) ],
% 1.23/1.63 [ =( 'c_Message_Oparts'( 'c_emptyset' ), 'c_emptyset' ) ],
% 1.23/1.63 [ =( 'c_union'( X, 'c_union'( Y, X, Z ), Z ), 'c_union'( Y, X, Z ) ) ]
% 1.23/1.63 ,
% 1.23/1.63 [ ~( 'c_in'( 'c_Message_Oagent_OServer', 'c_Event_Obad',
% 1.23/1.63 'tc_Message_Oagent' ) ) ],
% 1.23/1.63 [ 'c_in'( 'c_Message_Oagent_OSpy', 'c_Event_Obad', 'tc_Message_Oagent' )
% 1.23/1.63 ],
% 1.23/1.63 [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_Event_Oknows'(
% 1.23/1.63 'c_Message_Oagent_OSpy', Y ) ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 1.23/1.63 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ],
% 1.23/1.63 [ ~( =( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_Event_Oevent_OGets'( T, U
% 1.23/1.63 ) ) ) ],
% 1.23/1.63 [ ~( =( 'c_Event_Oevent_OGets'( X, Y ), 'c_Event_Oevent_OSays'( Z, T, U
% 1.23/1.63 ) ) ) ],
% 1.23/1.63 [ ~( =( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_Event_Oevent_ONotes'( T, U
% 1.23/1.63 ) ) ) ],
% 1.23/1.63 [ ~( =( 'c_Event_Oevent_ONotes'( X, Y ), 'c_Event_Oevent_OSays'( Z, T, U
% 1.23/1.63 ) ) ) ],
% 1.23/1.63 [ ~( =( 'c_Event_Oevent_OGets'( X, Y ), 'c_Event_Oevent_ONotes'( Z, T )
% 1.23/1.63 ) ) ],
% 1.23/1.63 [ ~( =( 'c_Event_Oevent_ONotes'( X, Y ), 'c_Event_Oevent_OGets'( Z, T )
% 1.23/1.63 ) ) ],
% 1.23/1.63 [ ~( =( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_Event_Oevent_OSays'( T, U
% 1.23/1.63 , W ) ) ), =( X, T ) ],
% 1.23/1.63 [ ~( =( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_Event_Oevent_OSays'( T, U
% 1.23/1.63 , W ) ) ), =( Y, U ) ],
% 1.23/1.63 [ ~( =( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_Event_Oevent_OSays'( T, U
% 1.23/1.63 , W ) ) ), =( Z, W ) ],
% 1.23/1.63 [ ~( =( 'c_Event_Oevent_OGets'( X, Y ), 'c_Event_Oevent_OGets'( Z, T ) )
% 1.23/1.63 ), =( X, Z ) ],
% 1.23/1.63 [ ~( =( 'c_Event_Oevent_OGets'( X, Y ), 'c_Event_Oevent_OGets'( Z, T ) )
% 1.23/1.63 ), =( Y, T ) ],
% 1.23/1.63 [ ~( =( 'c_Event_Oevent_ONotes'( X, Y ), 'c_Event_Oevent_ONotes'( Z, T )
% 1.23/1.63 ) ), =( X, Z ) ],
% 1.23/1.63 [ ~( =( 'c_Event_Oevent_ONotes'( X, Y ), 'c_Event_Oevent_ONotes'( Z, T )
% 1.23/1.63 ) ), =( Y, T ) ],
% 1.23/1.63 [ =( 'c_Nat_Osize'( 'c_Event_Oevent_OSays'( X, Y, Z ), 'tc_Event_Oevent'
% 1.23/1.63 ), 'c_0' ) ],
% 1.23/1.63 [ =( 'c_Nat_Osize'( 'c_Event_Oevent_OGets'( X, Y ), 'tc_Event_Oevent' )
% 1.23/1.63 , 'c_0' ) ],
% 1.23/1.63 [ =( 'c_Nat_Osize'( 'c_Event_Oevent_ONotes'( X, Y ), 'tc_Event_Oevent' )
% 1.23/1.63 , 'c_0' ) ],
% 1.23/1.63 [ ~( 'c_in'( X, 'c_Message_OkeysFor'( 'c_Message_Osynth'( Y ) ),
% 1.23/1.63 'tc_nat' ) ), 'c_in'( X, 'c_Message_OkeysFor'( Y ), 'tc_nat' ), 'c_in'(
% 1.23/1.63 'c_Message_Omsg_OKey'( 'v_sko__uhi'( Y, X ) ), Y, 'tc_Message_Omsg' ) ]
% 1.23/1.63 ,
% 1.23/1.63 [ ~( 'c_in'( X, 'c_Message_OkeysFor'( 'c_Message_Osynth'( Y ) ),
% 1.23/1.63 'tc_nat' ) ), 'c_in'( X, 'c_Message_OkeysFor'( Y ), 'tc_nat' ), =( X,
% 1.23/1.63 'c_Message_OinvKey'( 'v_sko__uhi'( Y, X ) ) ) ],
% 1.23/1.63 [ ~( 'c_in'( X, 'c_Message_OkeysFor'( Y ), 'tc_nat' ) ), 'c_in'( X,
% 1.23/1.63 'c_Message_OkeysFor'( 'c_Message_Osynth'( Y ) ), 'tc_nat' ) ],
% 1.23/1.63 [ ~( 'c_in'( 'c_Message_Omsg_OKey'( X ), Y, 'tc_Message_Omsg' ) ),
% 1.23/1.63 'c_in'( 'c_Message_OinvKey'( X ), 'c_Message_OkeysFor'(
% 1.23/1.63 'c_Message_Osynth'( Y ) ), 'tc_nat' ) ],
% 1.23/1.63 [ =( 'c_Event_Oknows'( X, 'c_List_Olist_ONil' ), 'c_Event_OinitState'( X
% 1.23/1.63 ) ) ],
% 1.23/1.63 [ =( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'c_List_Olist_OCons'(
% 1.23/1.63 'c_Event_Oevent_OGets'( X, Y ), Z, 'tc_Event_Oevent' ) ),
% 1.23/1.63 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Z ) ) ],
% 1.23/1.63 [ ~( 'c_in'( X, 'c_Event_Obad', 'tc_Message_Oagent' ) ), =(
% 1.23/1.63 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'c_List_Olist_OCons'(
% 1.23/1.63 'c_Event_Oevent_ONotes'( X, Y ), Z, 'tc_Event_Oevent' ) ), 'c_insert'( Y
% 1.23/1.63 , 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', Z ), 'tc_Message_Omsg' ) ) ]
% 1.23/1.63 ,
% 1.23/1.63 [ 'c_in'( X, 'c_Event_Obad', 'tc_Message_Oagent' ), =( 'c_Event_Oknows'(
% 1.23/1.63 'c_Message_Oagent_OSpy', 'c_List_Olist_OCons'( 'c_Event_Oevent_ONotes'( X
% 1.23/1.63 , Y ), Z, 'tc_Event_Oevent' ) ), 'c_Event_Oknows'(
% 1.23/1.63 'c_Message_Oagent_OSpy', Z ) ) ],
% 1.23/1.63 [ =( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'c_List_Olist_OCons'(
% 1.23/1.63 'c_Event_Oevent_OSays'( X, Y, Z ), T, 'tc_Event_Oevent' ) ), 'c_insert'(
% 1.23/1.63 Z, 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', T ), 'tc_Message_Omsg' ) )
% 1.23/1.63 ],
% 1.23/1.63 [ =( 'c_Event_Oused'( 'c_List_Olist_OCons'( 'c_Event_Oevent_OGets'( X, Y
% 1.23/1.63 ), Z, 'tc_Event_Oevent' ) ), 'c_Event_Oused'( Z ) ) ],
% 1.23/1.63 [ =( 'c_Event_Oused'( 'c_List_Olist_OCons'( 'c_Event_Oevent_ONotes'( X,
% 1.23/1.63 Y ), Z, 'tc_Event_Oevent' ) ), 'c_union'( 'c_Message_Oparts'( 'c_insert'(
% 1.23/1.63 Y, 'c_emptyset', 'tc_Message_Omsg' ) ), 'c_Event_Oused'( Z ),
% 1.23/1.63 'tc_Message_Omsg' ) ) ],
% 1.23/1.63 [ =( 'c_Event_Oused'( 'c_List_Olist_OCons'( 'c_Event_Oevent_OSays'( X, Y
% 1.23/1.63 , Z ), T, 'tc_Event_Oevent' ) ), 'c_union'( 'c_Message_Oparts'(
% 1.23/1.63 'c_insert'( Z, 'c_emptyset', 'tc_Message_Omsg' ) ), 'c_Event_Oused'( T )
% 1.23/1.63 , 'tc_Message_Omsg' ) ) ],
% 1.23/1.63 [ 'c_in'( 'c_Message_Omsg_OAgent'( X ), 'c_Message_Osynth'( Y ),
% 1.23/1.63 'tc_Message_Omsg' ) ],
% 1.23/1.63 [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Osynth'( Z ),
% 1.23/1.63 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Osynth'( Z ),
% 1.23/1.63 'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), Z,
% 1.23/1.63 'tc_Message_Omsg' ) ],
% 1.23/1.63 [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Osynth'( Z ),
% 1.23/1.63 'tc_Message_Omsg' ) ), 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), Z,
% 1.23/1.63 'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OKey'( X ), Z,
% 1.23/1.63 'tc_Message_Omsg' ) ],
% 1.23/1.63 [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), Z, 'tc_Message_Omsg' ) ),
% 1.23/1.63 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Osynth'( Z ),
% 1.23/1.63 'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OKey'( X ), Z,
% 1.23/1.63 'tc_Message_Omsg' ) ],
% 1.23/1.63 [ ~( 'c_in'( X, 'c_Message_Osynth'( 'c_Message_Oanalz'( Y ) ),
% 1.23/1.63 'tc_Message_Omsg' ) ), =( 'c_Message_Osynth'( 'c_Message_Oanalz'(
% 1.23/1.63 'c_insert'( X, Y, 'tc_Message_Omsg' ) ) ), 'c_Message_Osynth'(
% 1.23/1.63 'c_Message_Oanalz'( Y ) ) ) ],
% 1.23/1.63 [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_OHPair'( Z, T ) ) ), =( X
% 1.23/1.63 , Z ) ],
% 1.23/1.63 [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_OHPair'( Z, T ) ) ), =( Y
% 1.23/1.63 , T ) ],
% 1.23/1.63 [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_OMPair'( Z, T ) ) )
% 1.23/1.63 , =( Z, 'c_Message_Omsg_OHash'( 'c_Message_Omsg_OMPair'( X, Y ) ) ) ]
% 1.23/1.63 ,
% 1.23/1.63 [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_OMPair'( Z, T ) ) )
% 1.23/1.63 , =( T, Y ) ],
% 1.23/1.63 [ =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_OMPair'(
% 1.23/1.63 'c_Message_Omsg_OHash'( 'c_Message_Omsg_OMPair'( X, Y ) ), Y ) ) ],
% 1.23/1.63 [ ~( =( 'c_Message_Omsg_OAgent'( X ), 'c_Message_OHPair'( Y, Z ) ) ) ]
% 1.23/1.63 ,
% 1.23/1.63 [ ~( =( 'c_Message_Omsg_ONonce'( X ), 'c_Message_OHPair'( Y, Z ) ) ) ]
% 1.23/1.63 ,
% 1.23/1.63 [ ~( =( 'c_Message_Omsg_ONumber'( X ), 'c_Message_OHPair'( Y, Z ) ) ) ]
% 1.23/1.63 ,
% 1.23/1.63 [ ~( =( 'c_Message_Omsg_OKey'( X ), 'c_Message_OHPair'( Y, Z ) ) ) ]
% 1.23/1.63 ,
% 1.23/1.63 [ ~( =( 'c_Message_Omsg_OHash'( X ), 'c_Message_OHPair'( Y, Z ) ) ) ]
% 1.23/1.63 ,
% 1.23/1.63 [ ~( =( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_OHPair'( Z, T ) ) )
% 1.23/1.63 ],
% 1.23/1.63 [ ~( 'c_in'( 'c_Message_OHPair'( X, Y ), 'c_Message_Osynth'(
% 1.23/1.63 'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 1.23/1.63 'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ),
% 1.23/1.63 'c_in'( 'c_Message_Omsg_OHash'( 'c_Message_Omsg_OMPair'( X, Y ) ),
% 1.23/1.63 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ],
% 1.23/1.63 [ ~( 'c_in'( 'c_Message_OHPair'( X, Y ), 'c_Message_Osynth'(
% 1.23/1.63 'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 1.23/1.63 'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ),
% 1.23/1.63 'c_in'( X, 'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ),
% 1.23/1.63 'tc_Message_Omsg' ) ],
% 1.23/1.63 [ ~( 'c_in'( X, 'c_Message_Osynth'( 'c_Message_Oanalz'( Y ) ),
% 1.23/1.63 'tc_Message_Omsg' ) ), ~( 'c_in'( 'c_Message_Omsg_OHash'(
% 1.23/1.63 'c_Message_Omsg_OMPair'( Z, X ) ), 'c_Message_Oanalz'( Y ),
% 1.23/1.63 'tc_Message_Omsg' ) ), 'c_in'( Z, 'c_Message_Osynth'( 'c_Message_Oanalz'(
% 1.23/1.63 Y ) ), 'tc_Message_Omsg' ), 'c_in'( 'c_Message_OHPair'( Z, X ),
% 1.23/1.63 'c_Message_Osynth'( 'c_Message_Oanalz'( Y ) ), 'tc_Message_Omsg' ) ],
% 1.23/1.63 [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_OAgent'( Z ) ) ) ]
% 1.23/1.63 ,
% 1.23/1.63 [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_OCrypt'( Z, T ) ) )
% 1.23/1.63 ],
% 1.23/1.63 [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_OHash'( Z ) ) ) ]
% 1.23/1.63 ,
% 1.23/1.63 [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_OKey'( Z ) ) ) ]
% 1.23/1.63 ,
% 1.23/1.63 [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_ONonce'( Z ) ) ) ]
% 1.23/1.63 ,
% 1.23/1.63 [ ~( =( 'c_Message_OHPair'( X, Y ), 'c_Message_Omsg_ONumber'( Z ) ) ) ]
% 1.23/1.63 ,
% 1.23/1.63 [ ~( 'c_in'( 'c_Message_Omsg_OHash'( X ), 'c_Message_Osynth'( Y ),
% 1.23/1.63 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Osynth'( Y ),
% 1.23/1.63 'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OHash'( X ), Y,
% 1.23/1.63 'tc_Message_Omsg' ) ],
% 1.23/1.63 [ ~( 'c_in'( 'c_Message_Omsg_OHash'( 'c_Message_Omsg_OMPair'( X, Y ) ),
% 1.23/1.63 'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ) ),
% 1.23/1.63 'c_in'( X, 'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ),
% 1.23/1.63 'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OHash'(
% 1.23/1.63 'c_Message_Omsg_OMPair'( X, Y ) ), 'c_Message_Oanalz'( Z ),
% 1.23/1.63 'tc_Message_Omsg' ) ],
% 1.23/1.63 [ ~( 'c_in'( 'c_Message_Omsg_OHash'( 'c_Message_Omsg_OMPair'( X, Y ) ),
% 1.23/1.63 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 1.23/1.63 'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ),
% 1.23/1.63 'c_in'( 'c_Message_Omsg_OHash'( 'c_Message_Omsg_OMPair'( X, Y ) ),
% 1.23/1.63 'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ) ],
% 1.23/1.63 [ ~( 'c_in'( 'c_Message_Omsg_OKey'( X ), 'c_Message_Osynth'( Y ),
% 1.23/1.63 'tc_Message_Omsg' ) ), 'c_in'( 'c_Message_Omsg_OKey'( X ), Y,
% 1.23/1.63 'tc_Message_Omsg' ) ],
% 1.23/1.63 [ ~( 'c_in'( 'c_Message_Omsg_OKey'( X ), Y, 'tc_Message_Omsg' ) ),
% 1.23/1.63 'c_in'( 'c_Message_Omsg_OKey'( X ), 'c_Message_Osynth'( Y ),
% 1.23/1.63 'tc_Message_Omsg' ) ],
% 1.23/1.63 [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oanalz'( Z ),
% 1.23/1.63 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oanalz'( Z ),
% 1.23/1.63 'tc_Message_Omsg' ) ],
% 1.23/1.63 [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oanalz'( Z ),
% 1.23/1.63 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oanalz'( Z ),
% 1.23/1.63 'tc_Message_Omsg' ) ],
% 1.23/1.63 [ ~( =( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_OHPair'( Z, T ) ) )
% 1.23/1.63 , =( X, 'c_Message_Omsg_OHash'( 'c_Message_Omsg_OMPair'( Z, T ) ) ) ]
% 1.23/1.63 ,
% 1.23/1.63 [ ~( =( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_OHPair'( Z, T ) ) )
% 1.23/1.63 , =( Y, T ) ],
% 1.23/1.63 [ =( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_OHash'(
% 1.23/1.63 'c_Message_Omsg_OMPair'( X, Y ) ), Y ), 'c_Message_OHPair'( X, Y ) ) ]
% 1.23/1.63 ,
% 1.23/1.63 [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Osynth'( Z ),
% 1.23/1.63 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Osynth'( Z ),
% 1.23/1.63 'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), Z,
% 1.23/1.63 'tc_Message_Omsg' ) ],
% 1.23/1.63 [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Osynth'( Z ),
% 1.23/1.63 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Osynth'( Z ),
% 1.23/1.63 'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), Z,
% 1.23/1.63 'tc_Message_Omsg' ) ],
% 1.23/1.63 [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Osynth'(
% 1.23/1.63 'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ) ), 'c_in'( X,
% 1.23/1.63 'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ) ],
% 1.23/1.63 [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Osynth'(
% 1.23/1.63 'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ) ), 'c_in'( Y,
% 1.23/1.63 'c_Message_Osynth'( 'c_Message_Oanalz'( Z ) ), 'tc_Message_Omsg' ) ],
% 1.23/1.63 [ ~( 'c_in'( X, 'c_Message_Osynth'( 'c_Message_Oanalz'( Y ) ),
% 1.23/1.63 'tc_Message_Omsg' ) ), ~( 'c_in'( Z, 'c_Message_Osynth'(
% 1.23/1.63 'c_Message_Oanalz'( Y ) ), 'tc_Message_Omsg' ) ), 'c_in'(
% 1.23/1.63 'c_Message_Omsg_OMPair'( Z, X ), 'c_Message_Osynth'( 'c_Message_Oanalz'(
% 1.23/1.63 Y ) ), 'tc_Message_Omsg' ) ],
% 1.23/1.63 [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( X ), 'c_Message_Osynth'( Y ),
% 1.23/1.63 'tc_Message_Omsg' ) ), 'c_in'( 'c_Message_Omsg_ONonce'( X ), Y,
% 1.23/1.63 'tc_Message_Omsg' ) ],
% 1.23/1.63 [ ~( 'c_in'( 'c_Message_Omsg_ONonce'( X ), Y, 'tc_Message_Omsg' ) ),
% 1.23/1.63 'c_in'( 'c_Message_Omsg_ONonce'( X ), 'c_Message_Osynth'( Y ),
% 1.23/1.63 'tc_Message_Omsg' ) ],
% 1.23/1.63 [ 'c_in'( 'c_Message_Omsg_ONumber'( X ), 'c_Message_Osynth'( Y ),
% 1.23/1.63 'tc_Message_Omsg' ) ],
% 1.23/1.63 [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Oanalz'( Z ),
% 1.23/1.63 'tc_Message_Omsg' ) ), ~( 'c_in'( 'c_Message_Omsg_OKey'(
% 1.23/1.63 'c_Message_OinvKey'( X ) ), 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' )
% 1.23/1.63 ), 'c_in'( Y, 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ],
% 1.23/1.63 [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oanalz'(
% 1.23/1.63 Y ), 'tc_Message_Omsg' ) ],
% 1.23/1.63 [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( X ) ),
% 1.23/1.63 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ), =( 'c_Message_Oanalz'(
% 1.23/1.63 'c_insert'( 'c_Message_Omsg_OCrypt'( X, Z ), Y, 'tc_Message_Omsg' ) ),
% 1.23/1.63 'c_insert'( 'c_Message_Omsg_OCrypt'( X, Z ), 'c_Message_Oanalz'(
% 1.23/1.63 'c_insert'( Z, Y, 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ) ],
% 1.23/1.63 [ 'c_in'( 'c_Message_Omsg_OKey'( 'c_Message_OinvKey'( X ) ),
% 1.23/1.63 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ), =( 'c_Message_Oanalz'(
% 1.23/1.63 'c_insert'( 'c_Message_Omsg_OCrypt'( X, Z ), Y, 'tc_Message_Omsg' ) ),
% 1.23/1.63 'c_insert'( 'c_Message_Omsg_OCrypt'( X, Z ), 'c_Message_Oanalz'( Y ),
% 1.23/1.63 'tc_Message_Omsg' ) ) ],
% 1.23/1.63 [ ~( 'c_in'( X, 'c_Message_Oanalz'( 'c_Message_Oanalz'( Y ) ),
% 1.23/1.63 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oanalz'( Y ),
% 1.23/1.63 'tc_Message_Omsg' ) ],
% 1.23/1.63 [ =( 'c_Message_Oanalz'( 'c_union'( 'c_Message_Oanalz'( X ), Y,
% 1.23/1.63 'tc_Message_Omsg' ) ), 'c_Message_Oanalz'( 'c_union'( X, Y,
% 1.23/1.63 'tc_Message_Omsg' ) ) ) ],
% 1.23/1.63 [ ~( 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ), 'c_in'(
% 1.23/1.63 X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ],
% 1.23/1.63 [ =( 'c_Message_Oanalz'( 'c_emptyset' ), 'c_emptyset' ) ],
% 1.23/1.63 [ =( 'c_Message_Oanalz'( 'c_Message_Oanalz'( X ) ), 'c_Message_Oanalz'(
% 1.23/1.63 X ) ) ],
% 1.23/1.63 [ =( 'c_Message_Oanalz'( 'c_insert'( 'c_Message_Omsg_OAgent'( X ), Y,
% 1.23/1.63 'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_OAgent'( X ),
% 1.23/1.63 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ) ],
% 1.23/1.63 [ =( 'c_Message_Oanalz'( 'c_insert'( 'c_Message_OHPair'( X, Y ), Z,
% 1.23/1.63 'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_OHPair'( X, Y ), 'c_insert'(
% 1.23/1.63 'c_Message_Omsg_OHash'( 'c_Message_Omsg_OMPair'( X, Y ) ),
% 1.23/1.63 'c_Message_Oanalz'( 'c_insert'( Y, Z, 'tc_Message_Omsg' ) ),
% 1.23/1.63 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ],
% 1.23/1.63 [ =( 'c_Message_Oanalz'( 'c_insert'( 'c_Message_Omsg_OHash'( X ), Y,
% 1.23/1.63 'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_OHash'( X ),
% 1.23/1.63 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ) ],
% 1.23/1.63 [ 'c_in'( X, 'c_Message_OkeysFor'( 'c_Message_Oanalz'( Y ) ), 'tc_nat' )
% 1.23/1.63 , =( 'c_Message_Oanalz'( 'c_insert'( 'c_Message_Omsg_OKey'( X ), Y,
% 1.23/1.63 'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_OKey'( X ),
% 1.23/1.63 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ) ],
% 1.23/1.63 [ =( 'c_Message_Oanalz'( 'c_insert'( 'c_Message_Omsg_OMPair'( X, Y ), Z
% 1.23/1.63 , 'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_OMPair'( X, Y ),
% 1.23/1.63 'c_Message_Oanalz'( 'c_insert'( X, 'c_insert'( Y, Z, 'tc_Message_Omsg' )
% 1.23/1.63 , 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ) ],
% 1.23/1.63 [ =( 'c_Message_Oanalz'( 'c_insert'( 'c_Message_Omsg_ONonce'( X ), Y,
% 1.23/1.63 'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_ONonce'( X ),
% 1.23/1.63 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ) ],
% 1.23/1.63 [ =( 'c_Message_Oanalz'( 'c_insert'( 'c_Message_Omsg_ONumber'( X ), Y,
% 1.23/1.63 'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_ONumber'( X ),
% 1.23/1.63 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ) ],
% 1.23/1.63 [ =( 'c_Message_Oanalz'( 'c_Message_Oparts'( X ) ), 'c_Message_Oparts'(
% 1.23/1.63 X ) ) ],
% 1.23/1.63 [ ~( 'c_lessequals'( 'c_Message_Oanalz'( X ), 'c_Message_Oanalz'( Y ),
% 1.23/1.63 'tc_set'( 'tc_Message_Omsg' ) ) ), 'c_lessequals'( X, 'c_Message_Oanalz'(
% 1.23/1.63 Y ), 'tc_set'( 'tc_Message_Omsg' ) ) ],
% 1.23/1.63 [ ~( 'c_lessequals'( X, 'c_Message_Oanalz'( Y ), 'tc_set'(
% 1.23/1.63 'tc_Message_Omsg' ) ) ), 'c_lessequals'( 'c_Message_Oanalz'( X ),
% 1.23/1.63 'c_Message_Oanalz'( Y ), 'tc_set'( 'tc_Message_Omsg' ) ) ],
% 1.23/1.63 [ =( 'c_Message_Oanalz'( 'c_Message_Osynth'( X ) ), 'c_union'(
% 1.23/1.63 'c_Message_Oanalz'( X ), 'c_Message_Osynth'( X ), 'tc_Message_Omsg' ) ) ]
% 1.23/1.63 ,
% 1.23/1.63 [ =( 'c_Message_Oanalz'( 'c_union'( 'c_Message_Osynth'( X ), Y,
% 1.23/1.63 'tc_Message_Omsg' ) ), 'c_union'( 'c_Message_Oanalz'( 'c_union'( X, Y,
% 1.23/1.63 'tc_Message_Omsg' ) ), 'c_Message_Osynth'( X ), 'tc_Message_Omsg' ) ) ]
% 1.23/1.63 ,
% 1.23/1.63 [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_union'( Y, Z, 'tc_Message_Omsg' )
% 1.23/1.63 ), 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oparts'( Z ),
% 1.23/1.63 'tc_Message_Omsg' ), 'c_in'( X, 'c_Message_Oparts'( Y ),
% 1.23/1.63 'tc_Message_Omsg' ) ],
% 1.23/1.63 [ =( 'c_Message_OkeysFor'( 'c_insert'( 'c_Message_OHPair'( X, Y ), Z,
% 1.23/1.63 'tc_Message_Omsg' ) ), 'c_Message_OkeysFor'( Z ) ) ],
% 1.23/1.63 [ =( 'c_Message_Oparts'( 'c_Message_Oanalz'( X ) ), 'c_Message_Oparts'(
% 1.23/1.63 X ) ) ],
% 1.23/1.63 [ ~( 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ), =(
% 1.23/1.63 'c_Message_Oparts'( 'c_insert'( X, Y, 'tc_Message_Omsg' ) ),
% 1.23/1.63 'c_Message_Oparts'( Y ) ) ],
% 1.23/1.63 [ =( 'c_Message_Oparts'( 'c_Message_Oparts'( X ) ), 'c_Message_Oparts'(
% 1.23/1.63 X ) ) ],
% 1.23/1.63 [ =( 'c_Message_Oparts'( 'c_insert'( 'c_Message_Omsg_OAgent'( X ), Y,
% 1.23/1.63 'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_OAgent'( X ),
% 1.23/1.63 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ) ],
% 1.23/1.63 [ =( 'c_Message_Oparts'( 'c_insert'( 'c_Message_Omsg_OCrypt'( X, Y ), Z
% 1.23/1.63 , 'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_OCrypt'( X, Y ),
% 1.23/1.63 'c_Message_Oparts'( 'c_insert'( Y, Z, 'tc_Message_Omsg' ) ),
% 1.23/1.63 'tc_Message_Omsg' ) ) ],
% 1.23/1.63 [ =( 'c_Message_Oparts'( 'c_insert'( 'c_Message_OHPair'( X, Y ), Z,
% 1.23/1.63 'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_OHPair'( X, Y ), 'c_insert'(
% 1.23/1.63 'c_Message_Omsg_OHash'( 'c_Message_Omsg_OMPair'( X, Y ) ),
% 1.23/1.63 'c_Message_Oparts'( 'c_insert'( Y, Z, 'tc_Message_Omsg' ) ),
% 1.23/1.63 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ],
% 1.23/1.64 [ =( 'c_Message_Oparts'( 'c_insert'( 'c_Message_Omsg_OHash'( X ), Y,
% 1.23/1.64 'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_OHash'( X ),
% 1.23/1.64 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ) ],
% 1.23/1.64 [ =( 'c_Message_Oparts'( 'c_insert'( 'c_Message_Omsg_OKey'( X ), Y,
% 1.23/1.64 'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_OKey'( X ),
% 1.23/1.64 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ) ],
% 1.23/1.64 [ =( 'c_Message_Oparts'( 'c_insert'( 'c_Message_Omsg_OMPair'( X, Y ), Z
% 1.23/1.64 , 'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_OMPair'( X, Y ),
% 1.23/1.64 'c_Message_Oparts'( 'c_insert'( X, 'c_insert'( Y, Z, 'tc_Message_Omsg' )
% 1.23/1.64 , 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ) ],
% 1.23/1.64 [ =( 'c_Message_Oparts'( 'c_insert'( 'c_Message_Omsg_ONonce'( X ), Y,
% 1.23/1.64 'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_ONonce'( X ),
% 1.23/1.64 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ) ],
% 1.23/1.64 [ =( 'c_Message_Oparts'( 'c_insert'( 'c_Message_Omsg_ONumber'( X ), Y,
% 1.23/1.64 'tc_Message_Omsg' ) ), 'c_insert'( 'c_Message_Omsg_ONumber'( X ),
% 1.23/1.64 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ) ],
% 1.23/1.64 [ ~( 'c_in'( X, 'c_Message_Oparts'( 'c_Message_Oparts'( Y ) ),
% 1.23/1.64 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oparts'( Y ),
% 1.23/1.64 'tc_Message_Omsg' ) ],
% 1.23/1.64 [ ~( 'c_lessequals'( 'c_Message_Oparts'( X ), 'c_Message_Oparts'( Y ),
% 1.23/1.64 'tc_set'( 'tc_Message_Omsg' ) ) ), 'c_lessequals'( X, 'c_Message_Oparts'(
% 1.23/1.64 Y ), 'tc_set'( 'tc_Message_Omsg' ) ) ],
% 1.23/1.64 [ ~( 'c_lessequals'( X, 'c_Message_Oparts'( Y ), 'tc_set'(
% 1.23/1.64 'tc_Message_Omsg' ) ) ), 'c_lessequals'( 'c_Message_Oparts'( X ),
% 1.23/1.64 'c_Message_Oparts'( Y ), 'tc_set'( 'tc_Message_Omsg' ) ) ],
% 1.23/1.64 [ =( 'c_Message_Oparts'( 'c_Message_Osynth'( X ) ), 'c_union'(
% 1.23/1.64 'c_Message_Oparts'( X ), 'c_Message_Osynth'( X ), 'tc_Message_Omsg' ) ) ]
% 1.23/1.64 ,
% 1.23/1.64 [ ~( 'c_in'( X, 'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ) ), ~(
% 1.23/1.64 'c_in'( 'c_Message_Omsg_OKey'( Z ), Y, 'tc_Message_Omsg' ) ), 'c_in'(
% 1.23/1.64 'c_Message_Omsg_OCrypt'( Z, X ), 'c_Message_Osynth'( Y ),
% 1.23/1.64 'tc_Message_Omsg' ) ],
% 1.23/1.64 [ ~( 'c_in'( X, 'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ) ), 'c_in'(
% 1.23/1.64 'c_Message_Omsg_OHash'( X ), 'c_Message_Osynth'( Y ), 'tc_Message_Omsg' )
% 1.23/1.64 ],
% 1.23/1.64 [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Osynth'(
% 1.23/1.64 Y ), 'tc_Message_Omsg' ) ],
% 1.23/1.64 [ ~( 'c_in'( X, 'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ) ), ~(
% 1.23/1.64 'c_in'( Z, 'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ) ), 'c_in'(
% 1.23/1.64 'c_Message_Omsg_OMPair'( Z, X ), 'c_Message_Osynth'( Y ),
% 1.23/1.64 'tc_Message_Omsg' ) ],
% 1.23/1.64 [ ~( 'c_lessequals'( 'c_Message_Osynth'( X ), 'c_Message_Osynth'( Y ),
% 1.23/1.64 'tc_set'( 'tc_Message_Omsg' ) ) ), 'c_lessequals'( X, 'c_Message_Osynth'(
% 1.23/1.64 Y ), 'tc_set'( 'tc_Message_Omsg' ) ) ],
% 1.23/1.64 [ ~( 'c_lessequals'( X, 'c_Message_Osynth'( Y ), 'tc_set'(
% 1.23/1.64 'tc_Message_Omsg' ) ) ), 'c_lessequals'( 'c_Message_Osynth'( X ),
% 1.23/1.64 'c_Message_Osynth'( Y ), 'tc_set'( 'tc_Message_Omsg' ) ) ],
% 1.23/1.64 [ ~( 'c_in'( X, 'c_Message_Osynth'( 'c_Message_Osynth'( Y ) ),
% 1.23/1.64 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Osynth'( Y ),
% 1.23/1.64 'tc_Message_Omsg' ) ],
% 1.23/1.64 [ ~( 'c_in'( X, 'c_Message_OsymKeys', 'tc_nat' ) ), =(
% 1.23/1.64 'c_Message_OinvKey'( X ), X ) ],
% 1.23/1.64 [ =( 'c_Message_OinvKey'( 'c_Public_OshrK'( X ) ), 'c_Public_OshrK'( X )
% 1.23/1.64 ) ],
% 1.23/1.64 [ =( 'c_Public_Okeymode_Okeymode__case'( X, Y,
% 1.23/1.64 'c_Public_Okeymode_OSignature', Z ), X ) ],
% 1.23/1.64 [ =( 'c_Public_Okeymode_Okeymode__case'( X, Y,
% 1.23/1.64 'c_Public_Okeymode_OEncryption', Z ), Y ) ],
% 1.23/1.64 [ ~( =( 'c_Public_Okeymode_OSignature', 'c_Public_Okeymode_OEncryption'
% 1.23/1.64 ) ) ],
% 1.23/1.64 [ ~( =( 'c_Public_Okeymode_OEncryption', 'c_Public_Okeymode_OSignature'
% 1.23/1.64 ) ) ],
% 1.23/1.64 [ =( 'c_Public_Okeymode_Okeymode__rec'( X, Y,
% 1.23/1.64 'c_Public_Okeymode_OSignature', Z ), X ) ],
% 1.23/1.64 [ =( 'c_Public_Okeymode_Okeymode__rec'( X, Y,
% 1.23/1.64 'c_Public_Okeymode_OEncryption', Z ), Y ) ],
% 1.23/1.64 [ =( 'c_Nat_Osize'( 'c_Public_Okeymode_OSignature', 'tc_Public_Okeymode'
% 1.23/1.64 ), 'c_0' ) ],
% 1.23/1.64 [ =( 'c_Nat_Osize'( 'c_Public_Okeymode_OEncryption',
% 1.23/1.64 'tc_Public_Okeymode' ), 'c_0' ) ],
% 1.23/1.64 [ ~( 'c_in'( 'c_Message_OinvKey'( 'c_Public_OpublicKey'( X, Y ) ),
% 1.23/1.64 'c_Message_OsymKeys', 'tc_nat' ) ) ],
% 1.23/1.64 [ ~( 'c_in'( 'c_Public_OpublicKey'( X, Y ), 'c_Message_OsymKeys',
% 1.23/1.64 'tc_nat' ) ) ],
% 1.23/1.64 [ ~( =( 'c_Message_OinvKey'( 'c_Public_OpublicKey'(
% 1.23/1.64 'c_Public_Okeymode_OEncryption', X ) ), 'c_Public_OshrK'( Y ) ) ) ],
% 1.23/1.64 [ ~( =( 'c_Public_OshrK'( X ), 'c_Message_OinvKey'(
% 1.23/1.64 'c_Public_OpublicKey'( Y, Z ) ) ) ) ],
% 1.23/1.64 [ ~( =( 'c_Message_OinvKey'( 'c_Public_OpublicKey'( X, Y ) ),
% 1.23/1.64 'c_Public_OpublicKey'( Z, T ) ) ) ],
% 1.23/1.64 [ ~( =( 'c_Public_OshrK'( X ), 'c_Public_OpublicKey'( Y, Z ) ) ) ],
% 1.23/1.64 [ ~( =( 'c_Public_OpublicKey'( X, Y ), 'c_Public_OpublicKey'( Z, T ) ) )
% 1.23/1.64 , =( X, Z ) ],
% 1.23/1.64 [ ~( =( 'c_Public_OpublicKey'( X, Y ), 'c_Public_OpublicKey'( Z, T ) ) )
% 1.23/1.64 , =( Y, T ) ],
% 1.23/1.64 [ ~( =( 'c_Public_OpublicKey'( X, Y ), 'c_Message_OinvKey'(
% 1.23/1.64 'c_Public_OpublicKey'( Z, T ) ) ) ) ],
% 1.23/1.64 [ 'c_in'( 'c_Public_OshrK'( X ), 'c_Message_OsymKeys', 'tc_nat' ) ],
% 1.23/1.64 [ ~( =( 'c_Public_OshrK'( X ), 'c_Public_OshrK'( Y ) ) ), =( X, Y ) ]
% 1.23/1.64 ,
% 1.23/1.64 [ ~( =( 'c_Message_OinvKey'( 'c_Public_OpublicKey'( X, Y ) ),
% 1.23/1.64 'c_Public_OshrK'( Z ) ) ) ],
% 1.23/1.64 [ ~( =( 'c_Public_OpublicKey'( X, Y ), 'c_Public_OshrK'( Z ) ) ) ],
% 1.23/1.64 [ ~( 'c_in'( 'c_Message_OinvKey'( X ), 'c_Message_OsymKeys', 'tc_nat' )
% 1.23/1.64 ), 'c_in'( X, 'c_Message_OsymKeys', 'tc_nat' ) ],
% 1.23/1.64 [ ~( 'c_in'( X, 'c_Message_OsymKeys', 'tc_nat' ) ), 'c_in'(
% 1.23/1.64 'c_Message_OinvKey'( X ), 'c_Message_OsymKeys', 'tc_nat' ) ],
% 1.23/1.64 [ ~( 'c_in'( X, 'c_Event_Oused'( Y ), 'tc_Message_Omsg' ) ),
% 1.23/1.64 'c_lessequals'( 'c_Message_Oparts'( 'c_insert'( X, 'c_emptyset',
% 1.23/1.64 'tc_Message_Omsg' ) ), 'c_Event_Oused'( Y ), 'tc_set'( 'tc_Message_Omsg'
% 1.23/1.64 ) ) ],
% 1.23/1.64 [ 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', 'v_Y' ), 'c_Event_Oused'(
% 1.23/1.64 'v_H' ), 'tc_Message_Omsg' ) ],
% 1.23/1.64 [ ~( 'c_in'( 'v_Y', 'c_Event_Oused'( 'v_H' ), 'tc_Message_Omsg' ) ), ~(
% 1.23/1.64 'c_in'( 'v_X', 'c_Event_Oused'( 'v_H' ), 'tc_Message_Omsg' ) ) ]
% 1.23/1.64 ] .
% 1.23/1.64
% 1.23/1.64
% 1.23/1.64 percentage equality = 0.228539, percentage horn = 0.908966
% 1.23/1.64 This is a problem with some equality
% 1.23/1.64
% 1.23/1.64
% 1.23/1.64
% 1.23/1.64 Options Used:
% 1.23/1.64
% 1.23/1.64 useres = 1
% 1.23/1.64 useparamod = 1
% 1.23/1.64 useeqrefl = 1
% 1.23/1.64 useeqfact = 1
% 1.23/1.64 usefactor = 1
% 1.23/1.64 usesimpsplitting = 0
% 1.23/1.64 usesimpdemod = 5
% 1.23/1.64 usesimpres = 3
% 1.23/1.64
% 1.23/1.64 resimpinuse = 1000
% 1.23/1.64 resimpclauses = 20000
% 1.23/1.64 substype = eqrewr
% 1.23/1.64 backwardsubs = 1
% 1.23/1.64 selectoldest = 5
% 1.23/1.64
% 1.23/1.64 litorderings [0] = split
% 1.23/1.64 litorderings [1] = extend the termordering, first sorting on arguments
% 1.23/1.64
% 1.23/1.64 termordering = kbo
% 1.23/1.64
% 1.23/1.64 litapriori = 0
% 1.23/1.64 termapriori = 1
% 1.23/1.64 litaposteriori = 0
% 1.23/1.64 termaposteriori = 0
% 1.23/1.64 demodaposteriori = 0
% 1.23/1.64 ordereqreflfact = 0
% 1.23/1.64
% 1.23/1.64 litselect = negord
% 1.23/1.64
% 1.23/1.64 maxweight = 15
% 1.23/1.64 maxdepth = 30000
% 1.23/1.64 maxlength = 115
% 1.23/1.64 maxnrvars = 195
% 1.23/1.64 excuselevel = 1
% 1.23/1.64 increasemaxweight = 1
% 1.23/1.64
% 1.23/1.64 maxselected = 10000000
% 1.23/1.64 maxnrclauses = 10000000
% 1.23/1.64
% 1.23/1.64 showgenerated = 0
% 1.23/1.64 showkept = 0
% 1.23/1.64 showselected = 0
% 1.23/1.64 showdeleted = 0
% 1.23/1.64 showresimp = 1
% 1.23/1.64 showstatus = 2000
% 1.23/1.64
% 1.23/1.64 prologoutput = 1
% 1.23/1.64 nrgoals = 5000000
% 1.23/1.64 totalproof = 1
% 1.23/1.64
% 1.23/1.64 Symbols occurring in the translation:
% 1.23/1.64
% 1.23/1.64 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.23/1.64 . [1, 2] (w:1, o:284, a:1, s:1, b:0),
% 1.23/1.64 ! [4, 1] (w:0, o:178, a:1, s:1, b:0),
% 1.23/1.64 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.23/1.64 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.23/1.64 'c_Datatype__Universe_OLeaf' [42, 3] (w:1, o:394, a:1, s:1, b:0),
% 1.23/1.64 'c_Datatype__Universe_ONumb' [44, 3] (w:1, o:395, a:1, s:1, b:0),
% 1.23/1.64 'c_Datatype__Universe_Odprod' [48, 4] (w:1, o:459, a:1, s:1, b:0),
% 1.23/1.64 'tc_Datatype__Universe_Onode' [49, 2] (w:1, o:309, a:1, s:1, b:0),
% 1.23/1.64 'tc_set' [50, 1] (w:1, o:183, a:1, s:1, b:0),
% 1.23/1.64 'tc_prod' [51, 2] (w:1, o:310, a:1, s:1, b:0),
% 1.23/1.64 'c_in' [52, 3] (w:1, o:396, a:1, s:1, b:0),
% 1.23/1.64 'c_Main_OdprodE__1' [53, 5] (w:1, o:490, a:1, s:1, b:0),
% 1.23/1.64 'c_Main_OdprodE__2' [54, 5] (w:1, o:491, a:1, s:1, b:0),
% 1.23/1.64 'c_Datatype__Universe_OScons' [55, 4] (w:1, o:460, a:1, s:1, b:0),
% 1.23/1.64 'c_Main_OdprodE__3' [56, 5] (w:1, o:492, a:1, s:1, b:0),
% 1.23/1.64 'c_Main_OdprodE__4' [57, 5] (w:1, o:493, a:1, s:1, b:0),
% 1.23/1.64 'c_Pair' [58, 4] (w:1, o:461, a:1, s:1, b:0),
% 1.23/1.64 'c_Datatype__Universe_Odsum' [64, 4] (w:1, o:462, a:1, s:1, b:0),
% 1.23/1.64 'c_Main_OdsumE__1' [65, 4] (w:1, o:467, a:1, s:1, b:0),
% 1.23/1.64 'c_Datatype__Universe_OIn0' [66, 3] (w:1, o:397, a:1, s:1, b:0),
% 1.23/1.64 'c_Main_OdsumE__2' [67, 4] (w:1, o:468, a:1, s:1, b:0),
% 1.23/1.64 'c_Main_OdsumE__3' [68, 4] (w:1, o:469, a:1, s:1, b:0),
% 1.23/1.64 'c_Datatype__Universe_OIn1' [69, 3] (w:1, o:398, a:1, s:1, b:0),
% 1.23/1.64 'c_Main_OdsumE__4' [70, 4] (w:1, o:470, a:1, s:1, b:0),
% 1.23/1.64 'c_Datatype__Universe_Ouprod' [73, 4] (w:1, o:471, a:1, s:1, b:0),
% 1.23/1.64 'c_Main_OuprodE__1' [74, 5] (w:1, o:494, a:1, s:1, b:0),
% 1.23/1.64 'c_Main_OuprodE__2' [75, 5] (w:1, o:495, a:1, s:1, b:0),
% 1.23/1.64 'c_Datatype__Universe_Ousum' [77, 4] (w:1, o:472, a:1, s:1, b:0),
% 1.23/1.64 'c_Main_OusumE__1' [78, 4] (w:1, o:473, a:1, s:1, b:0),
% 1.23/1.64 'c_Main_OusumE__2' [79, 4] (w:1, o:474, a:1, s:1, b:0),
% 1.23/1.64 'c_0' [81, 0] (w:1, o:56, a:1, s:1, b:0),
% 1.23/1.64 'tc_nat' [82, 0] (w:1, o:57, a:1, s:1, b:0),
% 1.23/1.64 'c_Divides_Oop_Advd' [83, 3] (w:1, o:399, a:1, s:1, b:0),
% 1.23/1.64 'c_Suc' [84, 1] (w:1, o:184, a:1, s:1, b:0),
% 1.23/1.64 'c_times' [86, 3] (w:1, o:401, a:1, s:1, b:0),
% 1.23/1.64 'c_Divides_Oop_Amod' [88, 3] (w:1, o:402, a:1, s:1, b:0),
% 1.23/1.64 'c_Main_Omod__eq__0D__dest__1' [89, 2] (w:1, o:332, a:1, s:1, b:0),
% 1.23/1.64 'c_emptyset' [90, 0] (w:1, o:61, a:1, s:1, b:0),
% 1.23/1.64 'c_Finite__Set_OFinites' [91, 0] (w:1, o:65, a:1, s:1, b:0),
% 1.23/1.64 'c_insert' [93, 3] (w:1, o:403, a:1, s:1, b:0),
% 1.23/1.64 'c_inter' [96, 3] (w:1, o:404, a:1, s:1, b:0),
% 1.23/1.64 'c_Main_Ofinite__Union__1' [97, 2] (w:1, o:334, a:1, s:1, b:0),
% 1.23/1.64 'c_Union' [98, 2] (w:1, o:340, a:1, s:1, b:0),
% 1.23/1.64 'c_GCD_Ogcd' [100, 1] (w:1, o:185, a:1, s:1, b:0),
% 1.23/1.64 'c_Infinite__Set_Oatmost__one' [102, 2] (w:1, o:343, a:1, s:1, b:0),
% 1.23/1.64
% 1.23/1.64 'c_IntDef_Oint' [103, 1] (w:1, o:186, a:1, s:1, b:0),
% 1.23/1.64 'tc_IntDef_Oint' [104, 0] (w:1, o:80, a:1, s:1, b:0),
% 1.23/1.64 'c_uminus' [105, 2] (w:1, o:344, a:1, s:1, b:0),
% 1.23/1.64 'c_lessequals' [106, 3] (w:1, o:405, a:1, s:1, b:0),
% 1.23/1.64 'c_less' [107, 3] (w:1, o:406, a:1, s:1, b:0),
% 1.23/1.64 'c_1' [108, 0] (w:1, o:81, a:1, s:1, b:0),
% 1.23/1.64 'c_Main_Ozmod__eq__0D__dest__1' [109, 2] (w:1, o:345, a:1, s:1, b:0)
% 1.23/1.64 ,
% 1.23/1.64 'c_List_Oremdups' [111, 2] (w:1, o:311, a:1, s:1, b:0),
% 1.23/1.64 'c_List_Odistinct' [112, 2] (w:1, o:315, a:1, s:1, b:0),
% 1.23/1.64 'c_List_Oset' [113, 2] (w:1, o:318, a:1, s:1, b:0),
% 1.23/1.64 'c_List_Olists' [114, 2] (w:1, o:320, a:1, s:1, b:0),
% 1.23/1.64 'tc_List_Olist' [115, 1] (w:1, o:187, a:1, s:1, b:0),
% 1.23/1.64 'c_Main_Oin__listsI__1' [117, 3] (w:1, o:422, a:1, s:1, b:0),
% 1.23/1.64 'c_Nat_Osize' [118, 2] (w:1, o:358, a:1, s:1, b:0),
% 1.23/1.64 'c_List_Olist_OCons' [120, 3] (w:1, o:407, a:1, s:1, b:0),
% 1.23/1.64 'c_List_Olistrel' [121, 2] (w:1, o:319, a:1, s:1, b:0),
% 1.23/1.64 'c_Main_Olistrel__Cons1__1' [122, 5] (w:1, o:496, a:1, s:1, b:0),
% 1.23/1.64 'c_Main_Olistrel__Cons1__2' [123, 5] (w:1, o:497, a:1, s:1, b:0),
% 1.23/1.64 'c_Main_Olistrel__Cons2__1' [124, 5] (w:1, o:498, a:1, s:1, b:0),
% 1.23/1.64 'c_Main_Olistrel__Cons2__2' [125, 5] (w:1, o:499, a:1, s:1, b:0),
% 1.23/1.64 'c_List_Olist_ONil' [126, 0] (w:1, o:84, a:1, s:1, b:0),
% 1.23/1.64 'c_Wellfounded__Recursion_Owf' [128, 2] (w:1, o:359, a:1, s:1, b:0),
% 1.23/1.64
% 1.23/1.64 'c_List_Olenlex' [129, 2] (w:1, o:321, a:1, s:1, b:0),
% 1.23/1.64 'c_List_Olex' [130, 2] (w:1, o:322, a:1, s:1, b:0),
% 1.23/1.64 'class_Orderings_Oorder' [131, 1] (w:1, o:191, a:1, s:1, b:0),
% 1.23/1.64 'c_Relation_ODomain' [132, 3] (w:1, o:423, a:1, s:1, b:0),
% 1.23/1.64 'c_Main_ODomainE__1' [133, 4] (w:1, o:475, a:1, s:1, b:0),
% 1.23/1.64 'c_Relation_OId' [136, 0] (w:1, o:86, a:1, s:1, b:0),
% 1.23/1.64 'c_Main_OIdE__1' [137, 2] (w:1, o:346, a:1, s:1, b:0),
% 1.23/1.64 'c_Relation_OImage' [138, 4] (w:1, o:476, a:1, s:1, b:0),
% 1.23/1.64 'c_Main_OImageE__1' [139, 5] (w:1, o:500, a:1, s:1, b:0),
% 1.23/1.64 'c_Relation_ORange' [140, 3] (w:1, o:424, a:1, s:1, b:0),
% 1.23/1.64 'c_Main_ORangeE__1' [141, 4] (w:1, o:477, a:1, s:1, b:0),
% 1.23/1.64 'c_Relation_Oconverse' [143, 3] (w:1, o:425, a:1, s:1, b:0),
% 1.23/1.64 'c_Main_OconverseE__1' [144, 4] (w:1, o:465, a:1, s:1, b:0),
% 1.23/1.64 'c_Main_OconverseE__2' [145, 4] (w:1, o:466, a:1, s:1, b:0),
% 1.23/1.64 'c_Relation_Odiag' [146, 2] (w:1, o:360, a:1, s:1, b:0),
% 1.23/1.64 'c_Main_OdiagE__1' [147, 3] (w:1, o:426, a:1, s:1, b:0),
% 1.23/1.64 'c_Relation_Orel__comp' [150, 5] (w:1, o:501, a:1, s:1, b:0),
% 1.23/1.64 'c_Main_Orel__compE__2' [151, 6] (w:1, o:503, a:1, s:1, b:0),
% 1.23/1.64 'c_Main_Orel__compE__3' [152, 6] (w:1, o:504, a:1, s:1, b:0),
% 1.23/1.64 'c_Main_Orel__compE__1' [153, 6] (w:1, o:502, a:1, s:1, b:0),
% 1.23/1.64 'c_SetInterval_OatLeastAtMost' [154, 3] (w:1, o:427, a:1, s:1, b:0),
% 1.23/1.64
% 1.23/1.64 'c_SetInterval_OatLeastLessThan' [155, 3] (w:1, o:428, a:1, s:1, b:0)
% 1.23/1.64 ,
% 1.23/1.64 'c_SetInterval_OatMost' [156, 2] (w:1, o:362, a:1, s:1, b:0),
% 1.23/1.64 'c_SetInterval_OgreaterThanAtMost' [157, 3] (w:1, o:429, a:1, s:1, b:
% 1.23/1.64 0),
% 1.23/1.64 'c_SetInterval_OgreaterThanLessThan' [158, 3] (w:1, o:430, a:1, s:1
% 1.23/1.64 , b:0),
% 1.23/1.64 'c_SetInterval_OlessThan' [159, 2] (w:1, o:363, a:1, s:1, b:0),
% 1.23/1.64 'c_Inter' [161, 2] (w:1, o:364, a:1, s:1, b:0),
% 1.23/1.64 'c_Main_OInterI__1' [162, 3] (w:1, o:431, a:1, s:1, b:0),
% 1.23/1.64 'c_UNIV' [163, 0] (w:1, o:92, a:1, s:1, b:0),
% 1.23/1.64 'c_Main_OUnionE__1' [164, 3] (w:1, o:432, a:1, s:1, b:0),
% 1.23/1.64 'c_Main_OsubsetI__1' [165, 3] (w:1, o:433, a:1, s:1, b:0),
% 1.23/1.64 'c_Sum__Type_OInl' [166, 3] (w:1, o:434, a:1, s:1, b:0),
% 1.23/1.64 'c_Sum__Type_OPlus' [167, 4] (w:1, o:478, a:1, s:1, b:0),
% 1.23/1.64 'tc_sum' [168, 2] (w:1, o:365, a:1, s:1, b:0),
% 1.23/1.64 'c_Sum__Type_OInr' [169, 3] (w:1, o:435, a:1, s:1, b:0),
% 1.23/1.64 'c_Main_OPlusE__1' [170, 4] (w:1, o:479, a:1, s:1, b:0),
% 1.23/1.64 'c_Main_OPlusE__2' [171, 4] (w:1, o:480, a:1, s:1, b:0),
% 1.23/1.64 'c_Transitive__Closure_Ortrancl' [172, 2] (w:1, o:338, a:1, s:1, b:0)
% 1.23/1.64 ,
% 1.23/1.64 'c_Transitive__Closure_Otrancl' [173, 2] (w:1, o:339, a:1, s:1, b:0)
% 1.23/1.64 ,
% 1.23/1.64 'c_Wellfounded__Relations_Oless__than' [174, 0] (w:1, o:93, a:1, s:1
% 1.23/1.64 , b:0),
% 1.23/1.64 'c_Relation_Otrans' [175, 2] (w:1, o:361, a:1, s:1, b:0),
% 1.23/1.64 'c_Wellfounded__Relations_Olex__prod' [178, 4] (w:1, o:481, a:1, s:1
% 1.23/1.64 , b:0),
% 1.23/1.64 'tc_Datatype_Ooption' [182, 1] (w:1, o:192, a:1, s:1, b:0),
% 1.23/1.64 'class_Finite__Set_Ofinite' [183, 1] (w:1, o:193, a:1, s:1, b:0),
% 1.23/1.64 'class_HOL_Ominus' [184, 1] (w:1, o:194, a:1, s:1, b:0),
% 1.23/1.64 'class_HOL_Oone' [185, 1] (w:1, o:195, a:1, s:1, b:0),
% 1.23/1.64 'class_Ring__and__Field_Osemiring' [186, 1] (w:1, o:198, a:1, s:1, b:
% 1.23/1.64 0),
% 1.23/1.64 'class_Ring__and__Field_Ocomm__semiring' [187, 1] (w:1, o:201, a:1
% 1.23/1.64 , s:1, b:0),
% 1.23/1.64 'class_OrderedGroup_Ocomm__monoid__add' [188, 1] (w:1, o:202, a:1, s:
% 1.23/1.64 1, b:0),
% 1.23/1.64 'class_Ring__and__Field_Osemiring__0' [189, 1] (w:1, o:203, a:1, s:1
% 1.23/1.64 , b:0),
% 1.23/1.64 'class_Ring__and__Field_Ocomm__semiring__0' [190, 1] (w:1, o:204, a:1
% 1.23/1.64 , s:1, b:0),
% 1.23/1.64 'class_OrderedGroup_Ocancel__semigroup__add' [191, 1] (w:1, o:205, a:
% 1.23/1.64 1, s:1, b:0),
% 1.23/1.64 'class_OrderedGroup_Ocancel__ab__semigroup__add' [192, 1] (w:1, o:206
% 1.23/1.64 , a:1, s:1, b:0),
% 1.23/1.64 'class_OrderedGroup_Oab__group__add' [193, 1] (w:1, o:207, a:1, s:1
% 1.23/1.64 , b:0),
% 1.23/1.64 'class_Ring__and__Field_Osemiring__0__cancel' [194, 1] (w:1, o:208
% 1.23/1.64 , a:1, s:1, b:0),
% 1.23/1.64 'class_Ring__and__Field_Oring' [195, 1] (w:1, o:196, a:1, s:1, b:0),
% 1.23/1.64
% 1.23/1.64 'class_HOL_Oplus' [196, 1] (w:1, o:209, a:1, s:1, b:0),
% 1.23/1.64 'class_Ring__and__Field_Ocomm__semiring__0__cancel' [197, 1] (w:1, o:
% 1.23/1.64 210, a:1, s:1, b:0),
% 1.23/1.64 'class_Ring__and__Field_Ocomm__ring' [198, 1] (w:1, o:199, a:1, s:1
% 1.23/1.64 , b:0),
% 1.23/1.64 'class_Ring__and__Field_Oaxclass__0__neq__1' [199, 1] (w:1, o:211, a:
% 1.23/1.64 1, s:1, b:0),
% 1.23/1.64 'class_OrderedGroup_Omonoid__mult' [200, 1] (w:1, o:216, a:1, s:1, b:
% 1.23/1.64 0),
% 1.23/1.64 'class_OrderedGroup_Ocomm__monoid__mult' [201, 1] (w:1, o:217, a:1
% 1.23/1.64 , s:1, b:0),
% 1.23/1.64 'class_Ring__and__Field_Osemiring__1' [202, 1] (w:1, o:218, a:1, s:1
% 1.23/1.64 , b:0),
% 1.23/1.64 'class_Ring__and__Field_Ocomm__semiring__1' [203, 1] (w:1, o:219, a:1
% 1.23/1.64 , s:1, b:0),
% 1.23/1.64 'class_Ring__and__Field_Osemiring__1__cancel' [204, 1] (w:1, o:220
% 1.23/1.64 , a:1, s:1, b:0),
% 1.23/1.64 'class_Ring__and__Field_Oring__1' [205, 1] (w:1, o:197, a:1, s:1, b:0
% 1.23/1.64 ),
% 1.23/1.64 'class_Ring__and__Field_Ocomm__semiring__1__cancel' [206, 1] (w:1, o:
% 1.23/1.64 221, a:1, s:1, b:0),
% 1.23/1.64 'class_HOL_Otimes' [207, 1] (w:1, o:222, a:1, s:1, b:0),
% 1.23/1.64 'class_Ring__and__Field_Ocomm__ring__1' [208, 1] (w:1, o:200, a:1, s:
% 1.23/1.64 1, b:0),
% 1.23/1.64 'class_LOrder_Omeet__semilorder' [209, 1] (w:1, o:224, a:1, s:1, b:0)
% 1.23/1.64 ,
% 1.23/1.64 'class_LOrder_Ojoin__semilorder' [210, 1] (w:1, o:225, a:1, s:1, b:0)
% 1.23/1.64 ,
% 1.23/1.64 'class_LOrder_Olorder' [211, 1] (w:1, o:223, a:1, s:1, b:0),
% 1.23/1.64 'class_Orderings_Olinorder' [212, 1] (w:1, o:226, a:1, s:1, b:0),
% 1.23/1.64 'class_OrderedGroup_Opordered__ab__semigroup__add' [213, 1] (w:1, o:
% 1.23/1.64 228, a:1, s:1, b:0),
% 1.23/1.64 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [214, 1]
% 1.23/1.64 (w:1, o:229, a:1, s:1, b:0),
% 1.23/1.64 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [215, 1]
% 1.23/1.64 (w:1, o:230, a:1, s:1, b:0),
% 1.23/1.64 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add' [216, 1]
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% 1.23/1.64 242, a:1, s:1, b:0),
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% 1.23/1.64 , s:1, b:0),
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% 1.23/1.64 'class_OrderedGroup_Olordered__ab__group' [226, 1] (w:1, o:212, a:1
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% 1.23/1.64 'class_Ring__and__Field_Oidom' [236, 1] (w:1, o:249, a:1, s:1, b:0),
% 1.23/1.64
% 1.23/1.64 'class_Ring__and__Field_Oordered__idom' [237, 1] (w:1, o:236, a:1, s:
% 1.23/1.64 1, b:0),
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% 1.23/1.64 'class_OrderedGroup_Osemigroup__add' [239, 1] (w:1, o:250, a:1, s:1
% 1.23/1.64 , b:0),
% 1.23/1.64 'class_Numeral_Onumber__ring' [240, 1] (w:1, o:189, a:1, s:1, b:0),
% 1.23/1.64 'class_Divides_Odiv' [241, 1] (w:1, o:251, a:1, s:1, b:0),
% 1.23/1.64 'class_Nat_Opower' [242, 1] (w:1, o:190, a:1, s:1, b:0),
% 1.23/1.64 'class_Power_Orecpower' [243, 1] (w:1, o:255, a:1, s:1, b:0),
% 1.23/1.64 'class_Parity_Oeven__odd' [244, 1] (w:1, o:256, a:1, s:1, b:0),
% 1.23/1.64 'class_OrderedGroup_Oab__semigroup__add' [245, 1] (w:1, o:252, a:1
% 1.23/1.64 , s:1, b:0),
% 1.23/1.64 'class_OrderedGroup_Osemigroup__mult' [246, 1] (w:1, o:253, a:1, s:1
% 1.23/1.64 , b:0),
% 1.23/1.64 'class_OrderedGroup_Oab__semigroup__mult' [247, 1] (w:1, o:254, a:1
% 1.23/1.64 , s:1, b:0),
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% 1.23/1.64 'tc_bool' [249, 0] (w:1, o:96, a:1, s:1, b:0),
% 1.23/1.64 'tc_fun' [251, 2] (w:1, o:366, a:1, s:1, b:0),
% 1.23/1.64 'class_Wellfounded__Recursion_Owellorder' [252, 1] (w:1, o:257, a:1
% 1.23/1.64 , s:1, b:0),
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% 1.23/1.64 1, s:1, b:0),
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% 1.23/1.64 'class_Ring__and__Field_Ofield' [256, 1] (w:1, o:260, a:1, s:1, b:0)
% 1.23/1.64 ,
% 1.23/1.64 'class_Ring__and__Field_Oordered__field' [257, 1] (w:1, o:237, a:1
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% 1.23/1.64 'c_Binomial_Obinomial' [259, 2] (w:1, o:367, a:1, s:1, b:0),
% 1.23/1.64 'c_plus' [260, 3] (w:1, o:436, a:1, s:1, b:0),
% 1.23/1.64 'c_Datatype_Oo2s' [262, 2] (w:1, o:368, a:1, s:1, b:0),
% 1.23/1.64 'c_Datatype_Ooption_OSome' [263, 2] (w:1, o:369, a:1, s:1, b:0),
% 1.23/1.64 'c_Datatype_Ooption_ONone' [264, 0] (w:1, o:99, a:1, s:1, b:0),
% 1.23/1.64 'c_Main_Onot__None__eq__1' [265, 2] (w:1, o:347, a:1, s:1, b:0),
% 1.23/1.64 'c_Main_Onot__Some__eq__1' [266, 2] (w:1, o:348, a:1, s:1, b:0),
% 1.23/1.64 'c_Datatype_Othe' [269, 2] (w:1, o:370, a:1, s:1, b:0),
% 1.23/1.64 'c_Product__Type_OUnity' [270, 0] (w:1, o:100, a:1, s:1, b:0),
% 1.23/1.64 'c_Datatype_Ounit_Ounit__case' [271, 3] (w:1, o:437, a:1, s:1, b:0),
% 1.23/1.64
% 1.23/1.64 'c_Datatype_Ounit_Ounit__rec' [272, 3] (w:1, o:438, a:1, s:1, b:0),
% 1.23/1.64 'c_Datatype__Universe_OAtom' [273, 3] (w:1, o:439, a:1, s:1, b:0),
% 1.23/1.64 'c_Datatype__Universe_Ontrunc' [274, 4] (w:1, o:482, a:1, s:1, b:0),
% 1.23/1.64
% 1.23/1.64 'c_div' [276, 3] (w:1, o:440, a:1, s:1, b:0),
% 1.23/1.64 'c_Equiv__Relations_Oquotient' [277, 3] (w:1, o:441, a:1, s:1, b:0),
% 1.23/1.64
% 1.23/1.64 'c_Extraction_Osumbool_OLeft' [279, 0] (w:1, o:62, a:1, s:1, b:0),
% 1.23/1.64 'c_Extraction_Osumbool_Osumbool__case' [280, 4] (w:1, o:483, a:1, s:1
% 1.23/1.64 , b:0),
% 1.23/1.64 'c_Extraction_Osumbool_ORight' [282, 0] (w:1, o:63, a:1, s:1, b:0),
% 1.23/1.64 'c_Extraction_Osumbool_Osumbool__rec' [283, 4] (w:1, o:484, a:1, s:1
% 1.23/1.64 , b:0),
% 1.23/1.64 'tc_Extraction_Osumbool' [284, 0] (w:1, o:112, a:1, s:1, b:0),
% 1.23/1.64 'c_Finite__Set_OMax' [285, 2] (w:1, o:374, a:1, s:1, b:0),
% 1.23/1.64 'c_Orderings_Omax' [286, 3] (w:1, o:447, a:1, s:1, b:0),
% 1.23/1.64 'c_Main_OMax__le__iff__1' [287, 3] (w:1, o:448, a:1, s:1, b:0),
% 1.23/1.64 'c_Main_OMax__less__iff__1' [288, 3] (w:1, o:449, a:1, s:1, b:0),
% 1.23/1.64 'c_Finite__Set_OMin' [289, 2] (w:1, o:375, a:1, s:1, b:0),
% 1.23/1.64 'c_Main_OMin__ge__iff__1' [290, 3] (w:1, o:450, a:1, s:1, b:0),
% 1.23/1.64 'c_Main_OMin__gr__iff__1' [291, 3] (w:1, o:451, a:1, s:1, b:0),
% 1.23/1.64 'c_Orderings_Omin' [292, 3] (w:1, o:452, a:1, s:1, b:0),
% 1.23/1.64 'c_Finite__Set_Ocard' [293, 2] (w:1, o:376, a:1, s:1, b:0),
% 1.23/1.64 'c_minus' [295, 3] (w:1, o:453, a:1, s:1, b:0),
% 1.23/1.64 'c_Pow' [296, 2] (w:1, o:379, a:1, s:1, b:0),
% 1.23/1.64 'c_union' [297, 3] (w:1, o:454, a:1, s:1, b:0),
% 1.23/1.64 'c_NatArith_Oof__nat' [298, 2] (w:1, o:380, a:1, s:1, b:0),
% 1.23/1.64 'c_Fun_Oid' [299, 2] (w:1, o:381, a:1, s:1, b:0),
% 1.23/1.64 'c_Numeral_OMin' [300, 0] (w:1, o:116, a:1, s:1, b:0),
% 1.23/1.64 'c_Numeral_Onumber__of' [301, 2] (w:1, o:382, a:1, s:1, b:0),
% 1.23/1.64 'c_HOL_Oabs' [302, 2] (w:1, o:341, a:1, s:1, b:0),
% 1.23/1.64 'c_Nat_Opower' [303, 3] (w:1, o:446, a:1, s:1, b:0),
% 1.23/1.64 'c_Numeral_OPls' [304, 0] (w:1, o:117, a:1, s:1, b:0),
% 1.23/1.64 'c_Numeral_Obin__minus' [305, 1] (w:1, o:272, a:1, s:1, b:0),
% 1.23/1.64 'c_Numeral_Obin__add' [306, 2] (w:1, o:383, a:1, s:1, b:0),
% 1.23/1.64 'c_IntDef_Oneg' [307, 2] (w:1, o:384, a:1, s:1, b:0),
% 1.23/1.64 'c_Numeral_Obit_OB1' [308, 0] (w:1, o:119, a:1, s:1, b:0),
% 1.23/1.64 'c_Numeral_OBit' [309, 2] (w:1, o:385, a:1, s:1, b:0),
% 1.23/1.64 'c_Numeral_Obit_OB0' [310, 0] (w:1, o:118, a:1, s:1, b:0),
% 1.23/1.64 'c_IntDef_Oiszero' [312, 2] (w:1, o:386, a:1, s:1, b:0),
% 1.23/1.64 'c_IntDef_Onat' [313, 1] (w:1, o:273, a:1, s:1, b:0),
% 1.23/1.64 'c_IntDef_Oof__int' [314, 2] (w:1, o:387, a:1, s:1, b:0),
% 1.23/1.64 'c_IntDef_OInteg' [316, 0] (w:1, o:121, a:1, s:1, b:0),
% 1.23/1.64 'c_IntDef_OAbs__Integ' [317, 1] (w:1, o:274, a:1, s:1, b:0),
% 1.23/1.64 'c_IntDef_ORep__Integ' [318, 1] (w:1, o:275, a:1, s:1, b:0),
% 1.23/1.64 'c_IntDef_OInts' [319, 0] (w:1, o:122, a:1, s:1, b:0),
% 1.23/1.64 'c_IntDef_ONats' [320, 0] (w:1, o:123, a:1, s:1, b:0),
% 1.23/1.64 'c_IntDef_Ointrel' [321, 0] (w:1, o:124, a:1, s:1, b:0),
% 1.23/1.64 'c_IntDiv_OposDivAlg' [322, 1] (w:1, o:276, a:1, s:1, b:0),
% 1.23/1.64 'c_IntDiv_OnegateSnd' [323, 1] (w:1, o:277, a:1, s:1, b:0),
% 1.23/1.64 'c_fst' [324, 3] (w:1, o:455, a:1, s:1, b:0),
% 1.23/1.64 'c_IntDiv_OnegDivAlg' [325, 1] (w:1, o:278, a:1, s:1, b:0),
% 1.23/1.64 'c_snd' [326, 3] (w:1, o:400, a:1, s:1, b:0),
% 1.23/1.64 'c_IntDiv_Oadjust' [327, 2] (w:1, o:388, a:1, s:1, b:0),
% 1.23/1.64 'c_LOrder_Ojoin' [329, 3] (w:1, o:408, a:1, s:1, b:0),
% 1.23/1.64 'c_LOrder_Omeet' [330, 3] (w:1, o:409, a:1, s:1, b:0),
% 1.78/2.15 'c_List_Oconcat' [332, 2] (w:1, o:313, a:1, s:1, b:0),
% 1.78/2.15 'c_Main_ONil__eq__concat__conv__1' [333, 2] (w:1, o:349, a:1, s:1, b:
% 1.78/2.15 0),
% 1.78/2.15 'c_append' [334, 3] (w:1, o:456, a:1, s:1, b:0),
% 1.78/2.15 'c_List_Orev' [335, 2] (w:1, o:316, a:1, s:1, b:0),
% 1.78/2.15 'c_List_Obutlast' [337, 2] (w:1, o:312, a:1, s:1, b:0),
% 1.78/2.15 'c_List_Olast' [338, 2] (w:1, o:323, a:1, s:1, b:0),
% 1.78/2.15 'c_List_Otake' [341, 3] (w:1, o:413, a:1, s:1, b:0),
% 1.78/2.15 'c_List_Odrop' [342, 3] (w:1, o:414, a:1, s:1, b:0),
% 1.78/2.15 'c_List_Ochar_OChar' [345, 2] (w:1, o:314, a:1, s:1, b:0),
% 1.78/2.15 'tc_List_Ochar' [348, 0] (w:1, o:130, a:1, s:1, b:0),
% 1.78/2.15 'c_Main_Oconcat__eq__Nil__conv__1' [349, 2] (w:1, o:350, a:1, s:1, b:
% 1.78/2.15 0),
% 1.78/2.15 'c_List_Orotate1' [350, 2] (w:1, o:317, a:1, s:1, b:0),
% 1.78/2.15 'c_List_Oremove1' [351, 3] (w:1, o:415, a:1, s:1, b:0),
% 1.78/2.15 'c_List_Orotate' [352, 3] (w:1, o:416, a:1, s:1, b:0),
% 1.78/2.15 'c_List_Osublist' [354, 3] (w:1, o:411, a:1, s:1, b:0),
% 1.78/2.15 'c_List_Oupt' [356, 2] (w:1, o:325, a:1, s:1, b:0),
% 1.78/2.15 'c_List_Oreplicate' [357, 3] (w:1, o:410, a:1, s:1, b:0),
% 1.78/2.15 'c_List_Ohd' [358, 2] (w:1, o:326, a:1, s:1, b:0),
% 1.78/2.15 'c_List_Otl' [359, 2] (w:1, o:324, a:1, s:1, b:0),
% 1.78/2.15 'c_List_Oitrev' [360, 3] (w:1, o:417, a:1, s:1, b:0),
% 1.78/2.15 'c_List_Olist__update' [362, 4] (w:1, o:463, a:1, s:1, b:0),
% 1.78/2.15 'c_List_Ozip' [363, 4] (w:1, o:464, a:1, s:1, b:0),
% 1.78/2.15 'c_List_Olexn' [364, 3] (w:1, o:418, a:1, s:1, b:0),
% 1.78/2.15 'c_List_Olexord' [365, 2] (w:1, o:327, a:1, s:1, b:0),
% 1.78/2.15 'c_Main_Olexord__Nil__left__1' [366, 2] (w:1, o:330, a:1, s:1, b:0),
% 1.78/2.15
% 1.78/2.15 'c_Main_Olexord__Nil__left__2' [367, 2] (w:1, o:331, a:1, s:1, b:0),
% 1.78/2.15
% 1.78/2.15 'c_List_Olist__inter' [373, 3] (w:1, o:419, a:1, s:1, b:0),
% 1.78/2.15 'c_List_Onth' [374, 3] (w:1, o:420, a:1, s:1, b:0),
% 1.78/2.15 'c_List_Olistset' [375, 2] (w:1, o:328, a:1, s:1, b:0),
% 1.78/2.15 'c_List_Oset__Cons' [377, 3] (w:1, o:412, a:1, s:1, b:0),
% 1.78/2.15 'c_List_Onibble_ONibble9' [391, 0] (w:1, o:143, a:1, s:1, b:0),
% 1.78/2.15 'c_List_Onibble_Onibble__case' [392, 18] (w:1, o:505, a:1, s:1, b:0)
% 1.78/2.15 ,
% 1.78/2.15 'c_List_Onibble_ONibbleA' [394, 0] (w:1, o:144, a:1, s:1, b:0),
% 1.78/2.15 'c_List_Onibble_ONibbleB' [395, 0] (w:1, o:145, a:1, s:1, b:0),
% 1.78/2.15 'c_List_Onibble_ONibbleC' [396, 0] (w:1, o:146, a:1, s:1, b:0),
% 1.78/2.15 'c_List_Onibble_ONibbleD' [397, 0] (w:1, o:147, a:1, s:1, b:0),
% 1.78/2.15 'c_List_Onibble_ONibbleE' [398, 0] (w:1, o:148, a:1, s:1, b:0),
% 1.78/2.15 'c_List_Onibble_ONibbleF' [399, 0] (w:1, o:149, a:1, s:1, b:0),
% 1.78/2.15 'c_List_Onibble_ONibble0' [400, 0] (w:1, o:150, a:1, s:1, b:0),
% 1.78/2.15 'c_List_Onibble_ONibble1' [401, 0] (w:1, o:151, a:1, s:1, b:0),
% 1.78/2.15 'c_List_Onibble_ONibble2' [402, 0] (w:1, o:152, a:1, s:1, b:0),
% 1.78/2.15 'c_List_Onibble_ONibble3' [403, 0] (w:1, o:153, a:1, s:1, b:0),
% 1.78/2.15 'c_List_Onibble_ONibble4' [404, 0] (w:1, o:154, a:1, s:1, b:0),
% 1.78/2.15 'c_List_Onibble_ONibble5' [405, 0] (w:1, o:155, a:1, s:1, b:0),
% 1.78/2.15 'c_List_Onibble_ONibble6' [406, 0] (w:1, o:156, a:1, s:1, b:0),
% 1.78/2.15 'c_List_Onibble_ONibble7' [407, 0] (w:1, o:157, a:1, s:1, b:0),
% 1.78/2.15 'c_List_Onibble_ONibble8' [408, 0] (w:1, o:142, a:1, s:1, b:0),
% 1.78/2.15 'c_List_Onibble_Onibble__rec' [409, 18] (w:1, o:506, a:1, s:1, b:0),
% 1.78/2.15
% 1.78/2.15 'tc_List_Onibble' [410, 0] (w:1, o:158, a:1, s:1, b:0),
% 1.78/2.15 'c_List_Onull' [411, 2] (w:1, o:329, a:1, s:1, b:0),
% 1.78/2.15 'c_List_Oop_Amem' [412, 3] (w:1, o:421, a:1, s:1, b:0),
% 1.78/2.15 'c_Map_Omap__of' [415, 4] (w:1, o:485, a:1, s:1, b:0),
% 1.78/2.15 'c_Numeral_Obin__succ' [416, 1] (w:1, o:279, a:1, s:1, b:0),
% 1.78/2.15 'c_Numeral_Obin__mult' [418, 2] (w:1, o:389, a:1, s:1, b:0),
% 1.78/2.15 'c_divide' [419, 3] (w:1, o:457, a:1, s:1, b:0),
% 1.78/2.15 'c_HOL_Oinverse' [420, 2] (w:1, o:342, a:1, s:1, b:0),
% 1.78/2.15 'c_Numeral_Obin__pred' [421, 1] (w:1, o:280, a:1, s:1, b:0),
% 1.78/2.15 'c_Numeral_Obit_Obit__case' [422, 4] (w:1, o:486, a:1, s:1, b:0),
% 1.78/2.15 'c_Numeral_Obit_Obit__rec' [423, 4] (w:1, o:487, a:1, s:1, b:0),
% 1.78/2.15 'tc_Numeral_Obit' [424, 0] (w:1, o:161, a:1, s:1, b:0),
% 1.78/2.15 'c_OrderedGroup_Onprt' [425, 2] (w:1, o:377, a:1, s:1, b:0),
% 12.00/12.35 'c_OrderedGroup_Opprt' [426, 2] (w:1, o:378, a:1, s:1, b:0),
% 12.00/12.35 'c_Parity_Oeven' [427, 2] (w:1, o:390, a:1, s:1, b:0),
% 12.00/12.35 'c_Main_Osurj__pair__1' [429, 3] (w:1, o:442, a:1, s:1, b:0),
% 12.00/12.35 'c_Main_Osurj__pair__2' [430, 3] (w:1, o:443, a:1, s:1, b:0),
% 12.00/12.35 'c_SetInterval_OatLeast' [432, 2] (w:1, o:335, a:1, s:1, b:0),
% 12.00/12.35 'c_SetInterval_OgreaterThan' [433, 2] (w:1, o:336, a:1, s:1, b:0),
% 12.00/12.35 'c_Main_OInter__UNIV__conv__1__1' [434, 2] (w:1, o:351, a:1, s:1, b:0
% 12.00/12.35 ),
% 12.00/12.35 'c_Main_OInter__UNIV__conv__2__1' [435, 2] (w:1, o:352, a:1, s:1, b:0
% 12.00/12.35 ),
% 12.00/12.35 'c_Main_OInter__iff__1' [436, 3] (w:1, o:444, a:1, s:1, b:0),
% 12.00/12.35 'c_Main_OUnion__empty__conv__1' [437, 2] (w:1, o:353, a:1, s:1, b:0)
% 12.00/12.35 ,
% 12.00/12.35 'c_Main_OUnion__iff__1' [438, 3] (w:1, o:445, a:1, s:1, b:0),
% 12.00/12.35 'c_Main_Oall__not__in__conv__1' [439, 2] (w:1, o:354, a:1, s:1, b:0)
% 12.00/12.35 ,
% 12.00/12.35 'c_Set_Ocontents' [440, 2] (w:1, o:337, a:1, s:1, b:0),
% 12.00/12.35 'c_Main_Oempty__Union__conv__1' [441, 2] (w:1, o:333, a:1, s:1, b:0)
% 12.00/12.35 ,
% 12.00/12.35 'c_Wellfounded__Recursion_Oacyclic' [442, 2] (w:1, o:391, a:1, s:1
% 12.00/12.35 , b:0),
% 12.00/12.35 'c_Message_Omsg_OMPair' [445, 2] (w:1, o:355, a:1, s:1, b:0),
% 12.00/12.35 'c_Message_Oparts' [447, 1] (w:1, o:261, a:1, s:1, b:0),
% 12.00/12.35 'tc_Message_Omsg' [448, 0] (w:1, o:159, a:1, s:1, b:0),
% 12.00/12.35 'c_Message_Oagent_OServer' [449, 0] (w:1, o:113, a:1, s:1, b:0),
% 12.00/12.35 'c_Message_Oagent_OFriend' [451, 1] (w:1, o:262, a:1, s:1, b:0),
% 12.00/12.35 'c_Message_Oagent_OSpy' [452, 0] (w:1, o:114, a:1, s:1, b:0),
% 12.00/12.35 'tc_Message_Oagent' [454, 0] (w:1, o:160, a:1, s:1, b:0),
% 12.00/12.35 'c_Message_OinvKey' [455, 1] (w:1, o:263, a:1, s:1, b:0),
% 12.00/12.35 'c_Message_OkeysFor' [459, 1] (w:1, o:264, a:1, s:1, b:0),
% 12.00/12.35 'c_Message_Omsg_OAgent' [460, 1] (w:1, o:265, a:1, s:1, b:0),
% 12.00/12.35 'c_Message_Omsg_OCrypt' [461, 2] (w:1, o:356, a:1, s:1, b:0),
% 12.00/12.35 'c_Message_Omsg_OHash' [462, 1] (w:1, o:266, a:1, s:1, b:0),
% 12.00/12.35 'c_Message_Omsg_OKey' [463, 1] (w:1, o:267, a:1, s:1, b:0),
% 12.00/12.35 'c_Message_Omsg_ONonce' [464, 1] (w:1, o:268, a:1, s:1, b:0),
% 12.00/12.35 'c_Message_Omsg_ONumber' [465, 1] (w:1, o:269, a:1, s:1, b:0),
% 12.00/12.35 'c_Event_Obad' [474, 0] (w:1, o:64, a:1, s:1, b:0),
% 12.00/12.35 'c_Event_Oknows' [476, 2] (w:1, o:371, a:1, s:1, b:0),
% 12.00/12.35 'c_Event_Oused' [477, 1] (w:1, o:281, a:1, s:1, b:0),
% 12.00/12.35 'c_Event_Oevent_OSays' [480, 3] (w:1, o:458, a:1, s:1, b:0),
% 12.00/12.35 'c_Event_Oevent_OGets' [481, 2] (w:1, o:372, a:1, s:1, b:0),
% 12.00/12.35 'c_Event_Oevent_ONotes' [482, 2] (w:1, o:373, a:1, s:1, b:0),
% 12.00/12.35 'tc_Event_Oevent' [485, 0] (w:1, o:169, a:1, s:1, b:0),
% 12.00/12.35 'c_Message_Osynth' [486, 1] (w:1, o:270, a:1, s:1, b:0),
% 12.00/12.35 'v_sko__uhi' [487, 2] (w:1, o:392, a:1, s:1, b:0),
% 12.00/12.35 'c_Event_OinitState' [488, 1] (w:1, o:282, a:1, s:1, b:0),
% 12.00/12.35 'c_Message_Oanalz' [489, 1] (w:1, o:271, a:1, s:1, b:0),
% 12.00/12.35 'c_Message_OHPair' [492, 2] (w:1, o:357, a:1, s:1, b:0),
% 12.00/12.35 'c_Message_OsymKeys' [495, 0] (w:1, o:115, a:1, s:1, b:0),
% 12.00/12.35 'c_Public_OshrK' [496, 1] (w:1, o:283, a:1, s:1, b:0),
% 12.00/12.35 'c_Public_Okeymode_OSignature' [497, 0] (w:1, o:172, a:1, s:1, b:0),
% 12.00/12.35
% 12.00/12.35 'c_Public_Okeymode_Okeymode__case' [498, 4] (w:1, o:488, a:1, s:1, b:
% 12.00/12.35 0),
% 12.00/12.35 'c_Public_Okeymode_OEncryption' [499, 0] (w:1, o:173, a:1, s:1, b:0)
% 12.00/12.35 ,
% 12.00/12.35 'c_Public_Okeymode_Okeymode__rec' [500, 4] (w:1, o:489, a:1, s:1, b:0
% 12.00/12.35 ),
% 12.00/12.35 'tc_Public_Okeymode' [501, 0] (w:1, o:174, a:1, s:1, b:0),
% 12.00/12.35 'c_Public_OpublicKey' [502, 2] (w:1, o:393, a:1, s:1, b:0),
% 12.00/12.35 'v_X' [504, 0] (w:1, o:175, a:1, s:1, b:0),
% 12.00/12.35 'v_Y' [505, 0] (w:1, o:176, a:1, s:1, b:0),
% 12.00/12.35 'v_H' [506, 0] (w:1, o:177, a:1, s:1, b:0).
% 12.00/12.35
% 12.00/12.35
% 12.00/12.35 Starting Search:
% 12.00/12.35
% 12.00/12.35
% 12.00/12.35 Intermediate Status:
% 12.00/12.35 Generated: 3280
% 12.00/12.35 Kept: 2914
% 12.00/12.35 Inuse: 0
% 12.00/12.35 Deleted: 0
% 12.00/12.35 Deletedinuse: 0
% 12.00/12.35
% 12.00/12.35 Resimplifying inuse:
% 12.00/12.35 Done
% 12.00/12.35
% 12.00/12.35 Resimplifying inuse:
% 12.00/12.35 Done
% 12.00/12.35
% 12.00/12.35
% 12.00/12.35 Intermediate Status:
% 12.00/12.35 Generated: 10718
% 12.00/12.35 Kept: 5167
% 12.00/12.35 Inuse: 270
% 12.00/12.35 Deleted: 1
% 12.00/12.35 Deletedinuse: 0
% 12.00/12.35
% 12.00/12.35 Resimplifying inuse:
% 12.00/12.35 Done
% 12.00/12.35
% 12.00/12.35 Resimplifying inuse:
% 12.00/12.35 Done
% 12.00/12.35
% 12.00/12.35
% 12.00/12.35 Intermediate Status:
% 12.00/12.35 Generated: 14900
% 12.00/12.35 Kept: 7180
% 12.00/12.35 Inuse: 445
% 12.00/12.35 Deleted: 2
% 12.00/12.35 Deletedinuse: 1
% 29.39/29.75
% 29.39/29.75 Resimplifying inuse:
% 29.39/29.75 Done
% 29.39/29.75
% 29.39/29.75 Resimplifying inuse:
% 29.39/29.75 Done
% 29.39/29.75
% 29.39/29.75
% 29.39/29.75 Intermediate Status:
% 29.39/29.75 Generated: 19402
% 29.39/29.75 Kept: 9891
% 29.39/29.75 Inuse: 500
% 29.39/29.75 Deleted: 2
% 29.39/29.75 Deletedinuse: 1
% 29.39/29.75
% 29.39/29.75 Resimplifying inuse:
% 29.39/29.75 Done
% 29.39/29.75
% 29.39/29.75 Resimplifying inuse:
% 29.39/29.75 Done
% 29.39/29.75
% 29.39/29.75
% 29.39/29.75 Intermediate Status:
% 29.39/29.75 Generated: 24582
% 29.39/29.75 Kept: 11915
% 29.39/29.75 Inuse: 613
% 29.39/29.75 Deleted: 4
% 29.39/29.75 Deletedinuse: 1
% 29.39/29.75
% 29.39/29.75 Resimplifying inuse:
% 29.39/29.75 Done
% 29.39/29.75
% 29.39/29.75 Resimplifying inuse:
% 29.39/29.75 Done
% 29.39/29.75
% 29.39/29.75
% 29.39/29.75 Intermediate Status:
% 29.39/29.75 Generated: 33859
% 29.39/29.75 Kept: 14258
% 29.39/29.75 Inuse: 1226
% 29.39/29.75 Deleted: 6
% 29.39/29.75 Deletedinuse: 1
% 29.39/29.75
% 29.39/29.75 Resimplifying inuse:
% 29.39/29.75 Done
% 29.39/29.75
% 29.39/29.75 Resimplifying inuse:
% 29.39/29.75 Done
% 29.39/29.75
% 29.39/29.75
% 29.39/29.75 Intermediate Status:
% 29.39/29.75 Generated: 40089
% 29.39/29.75 Kept: 16937
% 29.39/29.75 Inuse: 1250
% 29.39/29.75 Deleted: 7
% 29.39/29.75 Deletedinuse: 1
% 29.39/29.75
% 29.39/29.75 Resimplifying inuse:
% 29.39/29.75 Done
% 29.39/29.75
% 29.39/29.75 Resimplifying inuse:
% 29.39/29.75 Done
% 29.39/29.75
% 29.39/29.75
% 29.39/29.75 Intermediate Status:
% 29.39/29.75 Generated: 46455
% 29.39/29.75 Kept: 18994
% 29.39/29.75 Inuse: 1300
% 29.39/29.75 Deleted: 8
% 29.39/29.75 Deletedinuse: 2
% 29.39/29.75
% 29.39/29.75 Resimplifying inuse:
% 29.39/29.75 Done
% 29.39/29.75
% 29.39/29.75 Resimplifying inuse:
% 29.39/29.75 Done
% 29.39/29.75
% 29.39/29.75 Resimplifying clauses:
% 29.39/29.75 Done
% 29.39/29.75
% 29.39/29.75
% 29.39/29.75 Intermediate Status:
% 29.39/29.75 Generated: 56226
% 29.39/29.75 Kept: 21872
% 29.39/29.75 Inuse: 1329
% 29.39/29.75 Deleted: 197
% 29.39/29.75 Deletedinuse: 2
% 29.39/29.75
% 29.39/29.75 Resimplifying inuse:
% 29.39/29.75 Done
% 29.39/29.75
% 29.39/29.75 Resimplifying inuse:
% 29.39/29.75 Done
% 29.39/29.75
% 29.39/29.75
% 29.39/29.75 Intermediate Status:
% 29.39/29.75 Generated: 68659
% 29.39/29.75 Kept: 24651
% 29.39/29.75 Inuse: 1354
% 29.39/29.75 Deleted: 199
% 29.39/29.75 Deletedinuse: 4
% 29.39/29.75
% 29.39/29.75 Resimplifying inuse:
% 29.39/29.75 Done
% 29.39/29.75
% 29.39/29.75 Resimplifying inuse:
% 29.39/29.75 Done
% 29.39/29.75
% 29.39/29.75
% 29.39/29.75 Intermediate Status:
% 29.39/29.75 Generated: 76500
% 29.39/29.75 Kept: 26656
% 29.39/29.75 Inuse: 1451
% 29.39/29.75 Deleted: 200
% 29.39/29.75 Deletedinuse: 5
% 29.39/29.75
% 29.39/29.75 Resimplifying inuse:
% 29.39/29.75 Done
% 29.39/29.75
% 29.39/29.75
% 29.39/29.75 Intermediate Status:
% 29.39/29.75 Generated: 83332
% 29.39/29.75 Kept: 28670
% 29.39/29.75 Inuse: 1496
% 29.39/29.75 Deleted: 200
% 29.39/29.75 Deletedinuse: 5
% 29.39/29.75
% 29.39/29.75 Resimplifying inuse:
% 29.39/29.75 Done
% 29.39/29.75
% 29.39/29.75 Resimplifying inuse:
% 29.39/29.75 Done
% 29.39/29.75
% 29.39/29.75
% 29.39/29.75 Intermediate Status:
% 29.39/29.75 Generated: 90124
% 29.39/29.75 Kept: 30684
% 29.39/29.75 Inuse: 1545
% 29.39/29.75 Deleted: 200
% 29.39/29.75 Deletedinuse: 5
% 29.39/29.75
% 29.39/29.75 Resimplifying inuse:
% 29.39/29.75 Done
% 29.39/29.75
% 29.39/29.75
% 29.39/29.75 Intermediate Status:
% 29.39/29.75 Generated: 96208
% 29.39/29.75 Kept: 32806
% 29.39/29.75 Inuse: 1564
% 29.39/29.75 Deleted: 200
% 29.39/29.75 Deletedinuse: 5
% 29.39/29.75
% 29.39/29.75 Resimplifying inuse:
% 29.39/29.75 Done
% 29.39/29.75
% 29.39/29.75 Resimplifying inuse:
% 29.39/29.75 Done
% 29.39/29.75
% 29.39/29.75
% 29.39/29.75 Intermediate Status:
% 29.39/29.75 Generated: 101645
% 29.39/29.75 Kept: 34813
% 29.39/29.75 Inuse: 1574
% 29.39/29.75 Deleted: 201
% 29.39/29.75 Deletedinuse: 5
% 29.39/29.75
% 29.39/29.75 Resimplifying inuse:
% 29.39/29.75 Done
% 29.39/29.75
% 29.39/29.75 Resimplifying inuse:
% 29.39/29.75 Done
% 29.39/29.75
% 29.39/29.75
% 29.39/29.75 Intermediate Status:
% 29.39/29.75 Generated: 106878
% 29.39/29.75 Kept: 37076
% 29.39/29.75 Inuse: 1583
% 29.39/29.75 Deleted: 201
% 29.39/29.75 Deletedinuse: 5
% 29.39/29.75
% 29.39/29.75 Resimplifying inuse:
% 29.39/29.75 Done
% 29.39/29.75
% 29.39/29.75 Resimplifying inuse:
% 29.39/29.75 Done
% 29.39/29.75
% 29.39/29.75
% 29.39/29.75 Intermediate Status:
% 29.39/29.75 Generated: 114532
% 29.39/29.75 Kept: 39922
% 29.39/29.75 Inuse: 1592
% 29.39/29.75 Deleted: 202
% 29.39/29.75 Deletedinuse: 5
% 29.39/29.75
% 29.39/29.75 Resimplifying inuse:
% 29.39/29.75 Done
% 29.39/29.75
% 29.39/29.75 Resimplifying inuse:
% 29.39/29.75 Done
% 29.39/29.75
% 29.39/29.75 Resimplifying clauses:
% 29.39/29.75 Done
% 29.39/29.75
% 29.39/29.75
% 29.39/29.75 Intermediate Status:
% 29.39/29.75 Generated: 121330
% 29.39/29.75 Kept: 42295
% 29.39/29.75 Inuse: 1607
% 29.39/29.75 Deleted: 2153
% 29.39/29.75 Deletedinuse: 5
% 29.39/29.75
% 29.39/29.75 Resimplifying inuse:
% 29.39/29.75 Done
% 29.39/29.75
% 29.39/29.75 Resimplifying inuse:
% 29.39/29.75 Done
% 29.39/29.75
% 29.39/29.75
% 29.39/29.75 Intermediate Status:
% 29.39/29.75 Generated: 127458
% 29.39/29.75 Kept: 44657
% 29.39/29.75 Inuse: 1617
% 29.39/29.75 Deleted: 2153
% 29.39/29.75 Deletedinuse: 5
% 29.39/29.75
% 29.39/29.75 Resimplifying inuse:
% 29.39/29.75 Done
% 29.39/29.75
% 29.39/29.75 Resimplifying inuse:
% 29.39/29.75 Done
% 29.39/29.75
% 29.39/29.75
% 29.39/29.75 Intermediate Status:
% 29.39/29.75 Generated: 133995
% 29.39/29.75 Kept: 46974
% 29.39/29.75 Inuse: 1627
% 29.39/29.75 Deleted: 2153
% 29.39/29.75 Deletedinuse: 5
% 29.39/29.75
% 29.39/29.75 Resimplifying inuse:
% 29.39/29.75 Done
% 29.39/29.75
% 29.39/29.75 Resimplifying inuse:
% 29.39/29.75 Done
% 29.39/29.75
% 29.39/29.75
% 29.39/29.75 Intermediate Status:
% 29.39/29.75 Generated: 140335
% 29.39/29.75 Kept: 49361
% 29.39/29.75 Inuse: 1637
% 29.39/29.75 Deleted: 2153
% 29.39/29.75 Deletedinuse: 5
% 29.39/29.75
% 29.39/29.75 Resimplifying inuse:
% 29.39/29.75 Done
% 29.39/29.75
% 29.39/29.75 Resimplifying inuse:
% 29.39/29.75 Done
% 29.39/29.75
% 29.39/29.75
% 29.39/29.75 Intermediate Status:
% 29.39/29.75 Generated: 147056
% 29.39/29.75 Kept: 51579
% 29.39/29.75 Inuse: 1647
% 29.39/29.75 Deleted: 2153
% 29.39/29.75 Deletedinuse: 5
% 29.39/29.75
% 29.39/29.75 Resimplifying inuse:
% 29.39/29.75 Done
% 29.39/29.75
% 29.39/29.75 Resimplifying inuse:
% 29.39/29.75 Done
% 29.39/29.75
% 29.39/29.75
% 29.39/29.75 Intermediate Status:
% 29.39/29.75 Generated: 152604
% 29.39/29.75 Kept: 53605
% 29.39/29.75 Inuse: 1666
% 29.39/29.75 Deleted: 2153
% 29.39/29.75 Deletedinuse: 5
% 29.39/29.75
% 29.39/29.75 Resimplifying inuse:
% 29.39/29.75 Done
% 29.39/29.75
% 29.39/29.75 Resimplifying inuse:
% 29.39/29.75 Done
% 29.39/29.75
% 29.39/29.75
% 29.39/29.75 Intermediate Status:
% 29.39/29.75 Generated: 159403
% 29.39/29.75 Kept: 55677
% 29.39/29.75 Inuse: 1697
% 29.39/29.75 Deleted: 2153
% 29.39/29.75 Deletedinuse: 5
% 29.39/29.75
% 29.39/29.75 Resimplifying inuse:
% 29.39/29.75 Done
% 29.39/29.75
% 29.39/29.75 Resimplifying inuse:
% 29.39/29.75 Done
% 29.39/29.75
% 29.39/29.75
% 29.39/29.75 Intermediate Status:
% 29.39/29.75 Generated: 168555
% 29.39/29.75 Kept: 58591
% 29.39/29.75 Inuse: 1727
% 29.39/29.75 Deleted: 2153
% 29.39/29.75 Deletedinuse: 5
% 29.39/29.75
% 29.39/29.75 Resimplifying inuse:
% 29.39/29.75 Done
% 29.39/29.75
% 29.39/29.75 Resimplifying inuse:
% 29.39/29.75 Done
% 29.39/29.75
% 29.39/29.75
% 29.39/29.75 Intermediate Status:
% 29.39/29.75 Generated: 176424
% 29.39/29.75 Kept: 60888
% 29.39/29.75 Inuse: 1737
% 29.39/29.75 Deleted: 2153
% 29.39/29.75 Deletedinuse: 5
% 29.39/29.75
% 29.39/29.75 Resimplifying inuse:
% 29.39/29.75 Done
% 29.39/29.75
% 29.39/29.75 Resimplifying clauses:
% 29.39/29.75 Done
% 29.39/29.75
% 29.39/29.75 Resimplifying inuse:
% 29.39/29.75 Done
% 29.39/29.75
% 29.39/29.75
% 29.39/29.75 Intermediate Status:
% 29.39/29.75 Generated: 183942
% 29.39/29.75 Kept: 62983
% 29.39/29.75 Inuse: 1774
% 29.39/29.75 Deleted: 5184
% 76.94/77.35 Deletedinuse: 5
% 76.94/77.35
% 76.94/77.35 Resimplifying inuse:
% 76.94/77.35 Done
% 76.94/77.35
% 76.94/77.35 Resimplifying inuse:
% 76.94/77.35 Done
% 76.94/77.35
% 76.94/77.35
% 76.94/77.35 Intermediate Status:
% 76.94/77.35 Generated: 192882
% 76.94/77.35 Kept: 65948
% 76.94/77.35 Inuse: 1802
% 76.94/77.35 Deleted: 5184
% 76.94/77.35 Deletedinuse: 5
% 76.94/77.35
% 76.94/77.35 Resimplifying inuse:
% 76.94/77.35 Done
% 76.94/77.35
% 76.94/77.35 Resimplifying inuse:
% 76.94/77.35 Done
% 76.94/77.35
% 76.94/77.35
% 76.94/77.35 Intermediate Status:
% 76.94/77.35 Generated: 209002
% 76.94/77.35 Kept: 68875
% 76.94/77.35 Inuse: 1832
% 76.94/77.35 Deleted: 5184
% 76.94/77.35 Deletedinuse: 5
% 76.94/77.35
% 76.94/77.35 Resimplifying inuse:
% 76.94/77.35 Done
% 76.94/77.35
% 76.94/77.35 Resimplifying inuse:
% 76.94/77.35 Done
% 76.94/77.35
% 76.94/77.35
% 76.94/77.35 Intermediate Status:
% 76.94/77.35 Generated: 218470
% 76.94/77.35 Kept: 71086
% 76.94/77.35 Inuse: 1862
% 76.94/77.35 Deleted: 5184
% 76.94/77.35 Deletedinuse: 5
% 76.94/77.35
% 76.94/77.35 Resimplifying inuse:
% 76.94/77.35 Done
% 76.94/77.35
% 76.94/77.35 Resimplifying inuse:
% 76.94/77.35 Done
% 76.94/77.35
% 76.94/77.35
% 76.94/77.35 Intermediate Status:
% 76.94/77.35 Generated: 230470
% 76.94/77.35 Kept: 73171
% 76.94/77.35 Inuse: 1887
% 76.94/77.35 Deleted: 5185
% 76.94/77.35 Deletedinuse: 6
% 76.94/77.35
% 76.94/77.35 Resimplifying inuse:
% 76.94/77.35 Done
% 76.94/77.35
% 76.94/77.35 Resimplifying inuse:
% 76.94/77.35 Done
% 76.94/77.35
% 76.94/77.35
% 76.94/77.35 Intermediate Status:
% 76.94/77.35 Generated: 236026
% 76.94/77.35 Kept: 75174
% 76.94/77.35 Inuse: 1896
% 76.94/77.35 Deleted: 5185
% 76.94/77.35 Deletedinuse: 6
% 76.94/77.35
% 76.94/77.35 Resimplifying inuse:
% 76.94/77.35 Done
% 76.94/77.35
% 76.94/77.35
% 76.94/77.35 Intermediate Status:
% 76.94/77.35 Generated: 244436
% 76.94/77.35 Kept: 77191
% 76.94/77.35 Inuse: 1900
% 76.94/77.35 Deleted: 5185
% 76.94/77.35 Deletedinuse: 6
% 76.94/77.35
% 76.94/77.35 Resimplifying inuse:
% 76.94/77.35 Done
% 76.94/77.35
% 76.94/77.35
% 76.94/77.35 Intermediate Status:
% 76.94/77.35 Generated: 249749
% 76.94/77.35 Kept: 79304
% 76.94/77.35 Inuse: 1907
% 76.94/77.35 Deleted: 5185
% 76.94/77.35 Deletedinuse: 6
% 76.94/77.35
% 76.94/77.35 Resimplifying inuse:
% 76.94/77.35 Done
% 76.94/77.35
% 76.94/77.35 Resimplifying inuse:
% 76.94/77.35 Done
% 76.94/77.35
% 76.94/77.35 Resimplifying clauses:
% 76.94/77.35 Done
% 76.94/77.35
% 76.94/77.35
% 76.94/77.35 Intermediate Status:
% 76.94/77.35 Generated: 261528
% 76.94/77.35 Kept: 81308
% 76.94/77.35 Inuse: 1933
% 76.94/77.35 Deleted: 5418
% 76.94/77.35 Deletedinuse: 7
% 76.94/77.35
% 76.94/77.35
% 76.94/77.35 Intermediate Status:
% 76.94/77.35 Generated: 269419
% 76.94/77.35 Kept: 83908
% 76.94/77.35 Inuse: 1947
% 76.94/77.35 Deleted: 5418
% 76.94/77.35 Deletedinuse: 7
% 76.94/77.35
% 76.94/77.35 Resimplifying inuse:
% 76.94/77.35 Done
% 76.94/77.35
% 76.94/77.35
% 76.94/77.35 Intermediate Status:
% 76.94/77.35 Generated: 274833
% 76.94/77.35 Kept: 85954
% 76.94/77.35 Inuse: 1952
% 76.94/77.35 Deleted: 5418
% 76.94/77.35 Deletedinuse: 7
% 76.94/77.35
% 76.94/77.35 Resimplifying inuse:
% 76.94/77.35 Done
% 76.94/77.35
% 76.94/77.35
% 76.94/77.35 Intermediate Status:
% 76.94/77.35 Generated: 283357
% 76.94/77.35 Kept: 88573
% 76.94/77.35 Inuse: 1967
% 76.94/77.35 Deleted: 5418
% 76.94/77.35 Deletedinuse: 7
% 76.94/77.35
% 76.94/77.35 Resimplifying inuse:
% 76.94/77.35 Done
% 76.94/77.35
% 76.94/77.35 Resimplifying inuse:
% 76.94/77.35 Done
% 76.94/77.35
% 76.94/77.35
% 76.94/77.35 Intermediate Status:
% 76.94/77.35 Generated: 292558
% 76.94/77.35 Kept: 90595
% 76.94/77.35 Inuse: 2008
% 76.94/77.35 Deleted: 5420
% 76.94/77.35 Deletedinuse: 8
% 76.94/77.35
% 76.94/77.35 Resimplifying inuse:
% 76.94/77.35 Done
% 76.94/77.35
% 76.94/77.35
% 76.94/77.35 Intermediate Status:
% 76.94/77.35 Generated: 302152
% 76.94/77.35 Kept: 92756
% 76.94/77.35 Inuse: 2011
% 76.94/77.35 Deleted: 5420
% 76.94/77.35 Deletedinuse: 8
% 76.94/77.35
% 76.94/77.35 Resimplifying inuse:
% 76.94/77.35 Done
% 76.94/77.35
% 76.94/77.35 Resimplifying inuse:
% 76.94/77.35 Done
% 76.94/77.35
% 76.94/77.35
% 76.94/77.35 Intermediate Status:
% 76.94/77.35 Generated: 307063
% 76.94/77.35 Kept: 94806
% 76.94/77.35 Inuse: 2036
% 76.94/77.35 Deleted: 5420
% 76.94/77.35 Deletedinuse: 8
% 76.94/77.35
% 76.94/77.35 Resimplifying inuse:
% 76.94/77.35 Done
% 76.94/77.35
% 76.94/77.35 Resimplifying inuse:
% 76.94/77.35 Done
% 76.94/77.35
% 76.94/77.35
% 76.94/77.35 Intermediate Status:
% 76.94/77.35 Generated: 312778
% 76.94/77.35 Kept: 96850
% 76.94/77.35 Inuse: 2064
% 76.94/77.35 Deleted: 5420
% 76.94/77.35 Deletedinuse: 8
% 76.94/77.35
% 76.94/77.35 Resimplifying inuse:
% 76.94/77.35 Done
% 76.94/77.35
% 76.94/77.35 Resimplifying inuse:
% 76.94/77.35 Done
% 76.94/77.35
% 76.94/77.35
% 76.94/77.35 Intermediate Status:
% 76.94/77.35 Generated: 326223
% 76.94/77.35 Kept: 98881
% 76.94/77.35 Inuse: 2091
% 76.94/77.35 Deleted: 5422
% 76.94/77.35 Deletedinuse: 10
% 76.94/77.35
% 76.94/77.35 Resimplifying inuse:
% 76.94/77.35 Done
% 76.94/77.35
% 76.94/77.35 Resimplifying inuse:
% 76.94/77.35 Done
% 76.94/77.35
% 76.94/77.35
% 76.94/77.35 Intermediate Status:
% 76.94/77.35 Generated: 332336
% 76.94/77.35 Kept: 100961
% 76.94/77.35 Inuse: 2116
% 76.94/77.35 Deleted: 5423
% 76.94/77.35 Deletedinuse: 11
% 76.94/77.35
% 76.94/77.35 Resimplifying inuse:
% 76.94/77.35 Done
% 76.94/77.35
% 76.94/77.35 Resimplifying clauses:
% 76.94/77.35 Done
% 76.94/77.35
% 76.94/77.35 Resimplifying inuse:
% 76.94/77.35 Done
% 76.94/77.35
% 76.94/77.35
% 76.94/77.35 Intermediate Status:
% 76.94/77.35 Generated: 339321
% 76.94/77.35 Kept: 103200
% 76.94/77.35 Inuse: 2136
% 76.94/77.35 Deleted: 6381
% 76.94/77.35 Deletedinuse: 13
% 76.94/77.35
% 76.94/77.35 Resimplifying inuse:
% 76.94/77.35 Done
% 76.94/77.35
% 76.94/77.35 Resimplifying inuse:
% 76.94/77.35 Done
% 76.94/77.35
% 76.94/77.35
% 76.94/77.35 Intermediate Status:
% 76.94/77.35 Generated: 347827
% 76.94/77.35 Kept: 105281
% 76.94/77.35 Inuse: 2162
% 76.94/77.35 Deleted: 6381
% 76.94/77.35 Deletedinuse: 13
% 76.94/77.35
% 76.94/77.35 Resimplifying inuse:
% 76.94/77.35 Done
% 76.94/77.35
% 76.94/77.35 Resimplifying inuse:
% 76.94/77.35 Done
% 76.94/77.35
% 76.94/77.35
% 76.94/77.35 Intermediate Status:
% 76.94/77.35 Generated: 354980
% 76.94/77.35 Kept: 107301
% 76.94/77.35 Inuse: 2180
% 76.94/77.35 Deleted: 6381
% 76.94/77.35 Deletedinuse: 13
% 76.94/77.35
% 76.94/77.35 Resimplifying inuse:
% 76.94/77.35 Done
% 76.94/77.35
% 76.94/77.35 Resimplifying inuse:
% 76.94/77.35 Done
% 76.94/77.35
% 76.94/77.35
% 76.94/77.35 Intermediate Status:
% 76.94/77.35 Generated: 363211
% 76.94/77.35 Kept: 109322
% 76.94/77.35 Inuse: 2195
% 76.94/77.35 Deleted: 6381
% 76.94/77.35 Deletedinuse: 13
% 76.94/77.35
% 76.94/77.35 Resimplifying inuse:
% 76.94/77.35 Done
% 76.94/77.35
% 76.94/77.35 Resimplifying inuse:
% 76.94/77.35 Done
% 76.94/77.35
% 76.94/77.35
% 76.94/77.35 Intermediate Status:
% 76.94/77.35 Generated: 369266
% 76.94/77.35 Kept: 111366
% 76.94/77.35 Inuse: 2213
% 76.94/77.35 Deleted: 6381
% 76.94/77.35 Deletedinuse: 13
% 76.94/77.35
% 76.94/77.35 Resimplifying inuse:
% 76.94/77.35 Done
% 76.94/77.35
% 76.94/77.35 Resimplifying inuse:
% 76.94/77.35 Done
% 76.94/77.35
% 76.94/77.35
% 76.94/77.35 Intermediate Status:
% 76.94/77.35 Generated: 376675
% 76.94/77.35 Kept: 113493
% 76.94/77.35 Inuse: 2231
% 76.94/77.35 Deleted: 6381
% 76.94/77.35 Deletedinuse: 13
% 76.94/77.35
% 76.94/77.35 Resimplifying inuse:
% 76.94/77.35 Done
% 76.94/77.35
% 76.94/77.35 Resimplifying inuse:
% 76.94/77.35 Done
% 76.94/77.35
% 76.94/77.35
% 76.94/77.35 Intermediate Status:
% 76.94/77.35 Generated: 382358
% 76.94/77.35 Kept: 115520
% 76.94/77.35 Inuse: 2249
% 76.94/77.35 Deleted: 6381
% 76.94/77.35 Deletedinuse: 13
% 76.94/77.35
% 76.94/77.35 Resimplifying inuse:
% 76.94/77.35 Done
% 76.94/77.35
% 76.94/77.35 Resimplifying inuse:
% 76.94/77.35 Done
% 134.62/135.06
% 134.62/135.06
% 134.62/135.06 Intermediate Status:
% 134.62/135.06 Generated: 393121
% 134.62/135.06 Kept: 119053
% 134.62/135.06 Inuse: 2261
% 134.62/135.06 Deleted: 6381
% 134.62/135.06 Deletedinuse: 13
% 134.62/135.06
% 134.62/135.06 Resimplifying inuse:
% 134.62/135.06 Done
% 134.62/135.06
% 134.62/135.06
% 134.62/135.06 Intermediate Status:
% 134.62/135.06 Generated: 399903
% 134.62/135.06 Kept: 121914
% 134.62/135.06 Inuse: 2266
% 134.62/135.06 Deleted: 6381
% 134.62/135.06 Deletedinuse: 13
% 134.62/135.06
% 134.62/135.06 Resimplifying inuse:
% 134.62/135.06 Done
% 134.62/135.06
% 134.62/135.06 Resimplifying clauses:
% 134.62/135.06 Done
% 134.62/135.06
% 134.62/135.06
% 134.62/135.06 Intermediate Status:
% 134.62/135.06 Generated: 407482
% 134.62/135.06 Kept: 124043
% 134.62/135.06 Inuse: 2271
% 134.62/135.06 Deleted: 6487
% 134.62/135.06 Deletedinuse: 13
% 134.62/135.06
% 134.62/135.06 Resimplifying inuse:
% 134.62/135.06 Done
% 134.62/135.06
% 134.62/135.06 Resimplifying inuse:
% 134.62/135.06 Done
% 134.62/135.06
% 134.62/135.06
% 134.62/135.06 Intermediate Status:
% 134.62/135.06 Generated: 419169
% 134.62/135.06 Kept: 127317
% 134.62/135.06 Inuse: 2276
% 134.62/135.06 Deleted: 6491
% 134.62/135.06 Deletedinuse: 17
% 134.62/135.06
% 134.62/135.06 Resimplifying inuse:
% 134.62/135.06 Done
% 134.62/135.06
% 134.62/135.06
% 134.62/135.06 Intermediate Status:
% 134.62/135.06 Generated: 427170
% 134.62/135.06 Kept: 130019
% 134.62/135.06 Inuse: 2286
% 134.62/135.06 Deleted: 6491
% 134.62/135.06 Deletedinuse: 17
% 134.62/135.06
% 134.62/135.06 Resimplifying inuse:
% 134.62/135.06 Done
% 134.62/135.06
% 134.62/135.06
% 134.62/135.06 Intermediate Status:
% 134.62/135.06 Generated: 433864
% 134.62/135.06 Kept: 132463
% 134.62/135.06 Inuse: 2291
% 134.62/135.06 Deleted: 6494
% 134.62/135.06 Deletedinuse: 20
% 134.62/135.06
% 134.62/135.06 Resimplifying inuse:
% 134.62/135.06 Done
% 134.62/135.06
% 134.62/135.06
% 134.62/135.06 Intermediate Status:
% 134.62/135.06 Generated: 440002
% 134.62/135.06 Kept: 134995
% 134.62/135.06 Inuse: 2296
% 134.62/135.06 Deleted: 6494
% 134.62/135.06 Deletedinuse: 20
% 134.62/135.06
% 134.62/135.06 Resimplifying inuse:
% 134.62/135.06 Done
% 134.62/135.06
% 134.62/135.06
% 134.62/135.06 Intermediate Status:
% 134.62/135.06 Generated: 449424
% 134.62/135.06 Kept: 138189
% 134.62/135.06 Inuse: 2311
% 134.62/135.06 Deleted: 6494
% 134.62/135.06 Deletedinuse: 20
% 134.62/135.06
% 134.62/135.06 Resimplifying inuse:
% 134.62/135.06 Done
% 134.62/135.06
% 134.62/135.06 Resimplifying inuse:
% 134.62/135.06 Done
% 134.62/135.06
% 134.62/135.06
% 134.62/135.06 Intermediate Status:
% 134.62/135.06 Generated: 471808
% 134.62/135.06 Kept: 143631
% 134.62/135.06 Inuse: 2366
% 134.62/135.06 Deleted: 6495
% 134.62/135.06 Deletedinuse: 21
% 134.62/135.06
% 134.62/135.06 Resimplifying inuse:
% 134.62/135.06 Done
% 134.62/135.06
% 134.62/135.06 Resimplifying clauses:
% 134.62/135.06 Done
% 134.62/135.06
% 134.62/135.06
% 134.62/135.06 Intermediate Status:
% 134.62/135.06 Generated: 493212
% 134.62/135.06 Kept: 148057
% 134.62/135.06 Inuse: 2376
% 134.62/135.06 Deleted: 7276
% 134.62/135.06 Deletedinuse: 21
% 134.62/135.06
% 134.62/135.06 Resimplifying inuse:
% 134.62/135.06 Done
% 134.62/135.06
% 134.62/135.06 Resimplifying inuse:
% 134.62/135.06 Done
% 134.62/135.06
% 134.62/135.06
% 134.62/135.06 Intermediate Status:
% 134.62/135.06 Generated: 502343
% 134.62/135.06 Kept: 150207
% 134.62/135.06 Inuse: 2396
% 134.62/135.06 Deleted: 7276
% 134.62/135.06 Deletedinuse: 21
% 134.62/135.06
% 134.62/135.06 Resimplifying inuse:
% 134.62/135.06 Done
% 134.62/135.06
% 134.62/135.06
% 134.62/135.06 Intermediate Status:
% 134.62/135.06 Generated: 509821
% 134.62/135.06 Kept: 152369
% 134.62/135.06 Inuse: 2406
% 134.62/135.06 Deleted: 7276
% 134.62/135.06 Deletedinuse: 21
% 134.62/135.06
% 134.62/135.06
% 134.62/135.06 Intermediate Status:
% 134.62/135.06 Generated: 516724
% 134.62/135.06 Kept: 155860
% 134.62/135.06 Inuse: 2416
% 134.62/135.06 Deleted: 7276
% 134.62/135.06 Deletedinuse: 21
% 134.62/135.06
% 134.62/135.06 Resimplifying inuse:
% 134.62/135.06 Done
% 134.62/135.06
% 134.62/135.06
% 134.62/135.06 Intermediate Status:
% 134.62/135.06 Generated: 522655
% 134.62/135.06 Kept: 159240
% 134.62/135.06 Inuse: 2421
% 134.62/135.06 Deleted: 7276
% 134.62/135.06 Deletedinuse: 21
% 134.62/135.06
% 134.62/135.06 Resimplifying inuse:
% 134.62/135.06 Done
% 134.62/135.06
% 134.62/135.06 Resimplifying inuse:
% 134.62/135.06 Done
% 134.62/135.06
% 134.62/135.06
% 134.62/135.06 Intermediate Status:
% 134.62/135.06 Generated: 539231
% 134.62/135.06 Kept: 163841
% 134.62/135.06 Inuse: 2426
% 134.62/135.06 Deleted: 7682
% 134.62/135.06 Deletedinuse: 427
% 134.62/135.06
% 134.62/135.06 Resimplifying inuse:
% 134.62/135.06 Done
% 134.62/135.06
% 134.62/135.06 Resimplifying clauses:
% 134.62/135.06 Done
% 134.62/135.06
% 134.62/135.06
% 134.62/135.06 Intermediate Status:
% 134.62/135.06 Generated: 552158
% 134.62/135.06 Kept: 166306
% 134.62/135.06 Inuse: 2436
% 134.62/135.06 Deleted: 20063
% 134.62/135.06 Deletedinuse: 427
% 134.62/135.06
% 134.62/135.06 Resimplifying inuse:
% 134.62/135.06 Done
% 134.62/135.06
% 134.62/135.06
% 134.62/135.06 Intermediate Status:
% 134.62/135.06 Generated: 563672
% 134.62/135.06 Kept: 168333
% 134.62/135.06 Inuse: 2441
% 134.62/135.06 Deleted: 20067
% 134.62/135.06 Deletedinuse: 431
% 134.62/135.06
% 134.62/135.06 Resimplifying inuse:
% 134.62/135.06 Done
% 134.62/135.06
% 134.62/135.06
% 134.62/135.06 Intermediate Status:
% 134.62/135.06 Generated: 570723
% 134.62/135.06 Kept: 170569
% 134.62/135.06 Inuse: 2451
% 134.62/135.06 Deleted: 20067
% 134.62/135.06 Deletedinuse: 431
% 134.62/135.06
% 134.62/135.06 Resimplifying inuse:
% 134.62/135.06 Done
% 134.62/135.06
% 134.62/135.06
% 134.62/135.06 Intermediate Status:
% 134.62/135.06 Generated: 584393
% 134.62/135.06 Kept: 172666
% 134.62/135.06 Inuse: 2456
% 134.62/135.06 Deleted: 20067
% 134.62/135.06 Deletedinuse: 431
% 134.62/135.06
% 134.62/135.06 Resimplifying inuse:
% 134.62/135.06 Done
% 134.62/135.06
% 134.62/135.06
% 134.62/135.06 Intermediate Status:
% 134.62/135.06 Generated: 598686
% 134.62/135.06 Kept: 175212
% 134.62/135.06 Inuse: 2461
% 134.62/135.06 Deleted: 20067
% 134.62/135.06 Deletedinuse: 431
% 134.62/135.06
% 134.62/135.06 Resimplifying inuse:
% 134.62/135.06 Done
% 134.62/135.06
% 134.62/135.06
% 134.62/135.06 Intermediate Status:
% 134.62/135.06 Generated: 613046
% 134.62/135.06 Kept: 177767
% 134.62/135.06 Inuse: 2466
% 134.62/135.06 Deleted: 20067
% 134.62/135.06 Deletedinuse: 431
% 134.62/135.06
% 134.62/135.06 Resimplifying inuse:
% 134.62/135.06 Done
% 134.62/135.06
% 134.62/135.06
% 134.62/135.06 Intermediate Status:
% 134.62/135.06 Generated: 626955
% 134.62/135.06 Kept: 179842
% 134.62/135.06 Inuse: 2471
% 134.62/135.06 Deleted: 20067
% 134.62/135.06 Deletedinuse: 431
% 134.62/135.06
% 134.62/135.06 Resimplifying inuse:
% 134.62/135.06 Done
% 134.62/135.06
% 134.62/135.06 Resimplifying inuse:
% 134.62/135.06 Done
% 134.62/135.06
% 134.62/135.06
% 134.62/135.06 Intermediate Status:
% 134.62/135.06 Generated: 644193
% 134.62/135.06 Kept: 183513
% 134.62/135.06 Inuse: 2491
% 134.62/135.06 Deleted: 20067
% 134.62/135.06 Deletedinuse: 431
% 134.62/135.06
% 134.62/135.06 Resimplifying inuse:
% 134.62/135.06 Done
% 134.62/135.06
% 134.62/135.06
% 134.62/135.06 Intermediate Status:
% 134.62/135.06 Generated: 649905
% 134.62/135.06 Kept: 186465
% 134.62/135.06 Inuse: 2496
% 134.62/135.06 Deleted: 20067
% 134.62/135.06 Deletedinuse: 431
% 134.62/135.06
% 134.62/135.06 Resimplifying inuse:
% 134.62/135.06 Done
% 134.62/135.06
% 134.62/135.06 Resimplifying clauses:
% 134.62/135.06 Done
% 134.62/135.06
% 134.62/135.06
% 134.62/135.06 Intermediate Status:
% 134.62/135.06 Generated: 655668
% 134.62/135.06 Kept: 189457
% 134.62/135.06 Inuse: 2501
% 134.62/135.06 Deleted: 21313
% 134.62/135.06 Deletedinuse: 431
% 134.62/135.06
% 134.62/135.06 Resimplifying inuse:
% 134.62/135.06 Done
% 134.62/135.06
% 134.62/135.06
% 134.62/135.06 Intermediate Status:
% 134.62/135.06 Generated: 664578
% 134.62/135.06 Kept: 192053
% 134.62/135.06 Inuse: 2516
% 134.62/135.06 Deleted: 21313
% 134.62/135.06 Deletedinuse: 431
% 134.62/135.06
% 134.62/135.06 Resimplifying inuse:
% 134.62/135.06 Done
% 134.62/135.06
% 134.62/135.06
% 134.62/135.06 Intermediate Status:
% 134.62/135.06 Generated: 678846
% 212.36/212.78 Kept: 195571
% 212.36/212.78 Inuse: 2526
% 212.36/212.78 Deleted: 21313
% 212.36/212.78 Deletedinuse: 431
% 212.36/212.78
% 212.36/212.78 Resimplifying inuse:
% 212.36/212.78 Done
% 212.36/212.78
% 212.36/212.78
% 212.36/212.78 Intermediate Status:
% 212.36/212.78 Generated: 691748
% 212.36/212.78 Kept: 198757
% 212.36/212.78 Inuse: 2531
% 212.36/212.78 Deleted: 21313
% 212.36/212.78 Deletedinuse: 431
% 212.36/212.78
% 212.36/212.78 Resimplifying inuse:
% 212.36/212.78 Done
% 212.36/212.78
% 212.36/212.78 Resimplifying inuse:
% 212.36/212.78 Done
% 212.36/212.78
% 212.36/212.78
% 212.36/212.78 Intermediate Status:
% 212.36/212.78 Generated: 701230
% 212.36/212.78 Kept: 200793
% 212.36/212.78 Inuse: 2565
% 212.36/212.78 Deleted: 21313
% 212.36/212.78 Deletedinuse: 431
% 212.36/212.78
% 212.36/212.78 Resimplifying inuse:
% 212.36/212.78 Done
% 212.36/212.78
% 212.36/212.78 Resimplifying inuse:
% 212.36/212.78 Done
% 212.36/212.78
% 212.36/212.78
% 212.36/212.78 Intermediate Status:
% 212.36/212.78 Generated: 710421
% 212.36/212.78 Kept: 202836
% 212.36/212.78 Inuse: 2594
% 212.36/212.78 Deleted: 21313
% 212.36/212.78 Deletedinuse: 431
% 212.36/212.78
% 212.36/212.78 Resimplifying inuse:
% 212.36/212.78 Done
% 212.36/212.78
% 212.36/212.78 Resimplifying inuse:
% 212.36/212.78 Done
% 212.36/212.78
% 212.36/212.78
% 212.36/212.78 Intermediate Status:
% 212.36/212.78 Generated: 720171
% 212.36/212.78 Kept: 204879
% 212.36/212.78 Inuse: 2616
% 212.36/212.78 Deleted: 21313
% 212.36/212.78 Deletedinuse: 431
% 212.36/212.78
% 212.36/212.78 Resimplifying inuse:
% 212.36/212.78 Done
% 212.36/212.78
% 212.36/212.78 Resimplifying inuse:
% 212.36/212.78 Done
% 212.36/212.78
% 212.36/212.78 Resimplifying clauses:
% 212.36/212.78 Done
% 212.36/212.78
% 212.36/212.78
% 212.36/212.78 Intermediate Status:
% 212.36/212.78 Generated: 734431
% 212.36/212.78 Kept: 207132
% 212.36/212.78 Inuse: 2646
% 212.36/212.78 Deleted: 24138
% 212.36/212.78 Deletedinuse: 431
% 212.36/212.78
% 212.36/212.78 Resimplifying inuse:
% 212.36/212.78 Done
% 212.36/212.78
% 212.36/212.78 Resimplifying inuse:
% 212.36/212.78 Done
% 212.36/212.78
% 212.36/212.78
% 212.36/212.78 Intermediate Status:
% 212.36/212.78 Generated: 744797
% 212.36/212.78 Kept: 209273
% 212.36/212.78 Inuse: 2666
% 212.36/212.78 Deleted: 24138
% 212.36/212.78 Deletedinuse: 431
% 212.36/212.78
% 212.36/212.78 Resimplifying inuse:
% 212.36/212.78 Done
% 212.36/212.78
% 212.36/212.78 Resimplifying inuse:
% 212.36/212.78 Done
% 212.36/212.78
% 212.36/212.78
% 212.36/212.78 Intermediate Status:
% 212.36/212.78 Generated: 762411
% 212.36/212.78 Kept: 213559
% 212.36/212.78 Inuse: 2691
% 212.36/212.78 Deleted: 24138
% 212.36/212.78 Deletedinuse: 431
% 212.36/212.78
% 212.36/212.78 Resimplifying inuse:
% 212.36/212.78 Done
% 212.36/212.78
% 212.36/212.78
% 212.36/212.78 Intermediate Status:
% 212.36/212.78 Generated: 767380
% 212.36/212.78 Kept: 215725
% 212.36/212.78 Inuse: 2692
% 212.36/212.78 Deleted: 24142
% 212.36/212.78 Deletedinuse: 435
% 212.36/212.78
% 212.36/212.78 Resimplifying inuse:
% 212.36/212.78 Done
% 212.36/212.78
% 212.36/212.78
% 212.36/212.78 Intermediate Status:
% 212.36/212.78 Generated: 774131
% 212.36/212.78 Kept: 218183
% 212.36/212.78 Inuse: 2696
% 212.36/212.78 Deleted: 24143
% 212.36/212.78 Deletedinuse: 436
% 212.36/212.78
% 212.36/212.78 Resimplifying inuse:
% 212.36/212.78 Done
% 212.36/212.78
% 212.36/212.78
% 212.36/212.78 Intermediate Status:
% 212.36/212.78 Generated: 780694
% 212.36/212.78 Kept: 221607
% 212.36/212.78 Inuse: 2701
% 212.36/212.78 Deleted: 24143
% 212.36/212.78 Deletedinuse: 436
% 212.36/212.78
% 212.36/212.78 Resimplifying inuse:
% 212.36/212.78 Done
% 212.36/212.78
% 212.36/212.78
% 212.36/212.78 Intermediate Status:
% 212.36/212.78 Generated: 788858
% 212.36/212.78 Kept: 224660
% 212.36/212.78 Inuse: 2706
% 212.36/212.78 Deleted: 24143
% 212.36/212.78 Deletedinuse: 436
% 212.36/212.78
% 212.36/212.78 Resimplifying inuse:
% 212.36/212.78 Done
% 212.36/212.78
% 212.36/212.78 Resimplifying inuse:
% 212.36/212.78 Done
% 212.36/212.78
% 212.36/212.78 Resimplifying clauses:
% 212.36/212.78 Done
% 212.36/212.78
% 212.36/212.78
% 212.36/212.78 Intermediate Status:
% 212.36/212.78 Generated: 796747
% 212.36/212.78 Kept: 226693
% 212.36/212.78 Inuse: 2730
% 212.36/212.78 Deleted: 25141
% 212.36/212.78 Deletedinuse: 436
% 212.36/212.78
% 212.36/212.78
% 212.36/212.78 Intermediate Status:
% 212.36/212.78 Generated: 802844
% 212.36/212.78 Kept: 228971
% 212.36/212.78 Inuse: 2731
% 212.36/212.78 Deleted: 25141
% 212.36/212.78 Deletedinuse: 436
% 212.36/212.78
% 212.36/212.78 Resimplifying inuse:
% 212.36/212.78 Done
% 212.36/212.78
% 212.36/212.78
% 212.36/212.78 Intermediate Status:
% 212.36/212.78 Generated: 810045
% 212.36/212.78 Kept: 231568
% 212.36/212.78 Inuse: 2736
% 212.36/212.78 Deleted: 25141
% 212.36/212.78 Deletedinuse: 436
% 212.36/212.78
% 212.36/212.78 Resimplifying inuse:
% 212.36/212.78 Done
% 212.36/212.78
% 212.36/212.78
% 212.36/212.78 Intermediate Status:
% 212.36/212.78 Generated: 818607
% 212.36/212.78 Kept: 235697
% 212.36/212.78 Inuse: 2746
% 212.36/212.78 Deleted: 25141
% 212.36/212.78 Deletedinuse: 436
% 212.36/212.78
% 212.36/212.78 Resimplifying inuse:
% 212.36/212.78 Done
% 212.36/212.78
% 212.36/212.78
% 212.36/212.78 Intermediate Status:
% 212.36/212.78 Generated: 826873
% 212.36/212.78 Kept: 238867
% 212.36/212.78 Inuse: 2751
% 212.36/212.78 Deleted: 25141
% 212.36/212.78 Deletedinuse: 436
% 212.36/212.78
% 212.36/212.78 Resimplifying inuse:
% 212.36/212.78 Done
% 212.36/212.78
% 212.36/212.78 Resimplifying inuse:
% 212.36/212.78 Done
% 212.36/212.78
% 212.36/212.78
% 212.36/212.78 Intermediate Status:
% 212.36/212.78 Generated: 836600
% 212.36/212.78 Kept: 243333
% 212.36/212.78 Inuse: 2765
% 212.36/212.78 Deleted: 25142
% 212.36/212.78 Deletedinuse: 436
% 212.36/212.78
% 212.36/212.78 Resimplifying inuse:
% 212.36/212.78 Done
% 212.36/212.78
% 212.36/212.78 Resimplifying inuse:
% 212.36/212.78 Done
% 212.36/212.78
% 212.36/212.78
% 212.36/212.78 Intermediate Status:
% 212.36/212.78 Generated: 842804
% 212.36/212.78 Kept: 245427
% 212.36/212.78 Inuse: 2780
% 212.36/212.78 Deleted: 25142
% 212.36/212.78 Deletedinuse: 436
% 212.36/212.78
% 212.36/212.78 Resimplifying inuse:
% 212.36/212.78 Done
% 212.36/212.78
% 212.36/212.78 Resimplifying inuse:
% 212.36/212.78 Done
% 212.36/212.78
% 212.36/212.78 Resimplifying clauses:
% 212.36/212.78 Done
% 212.36/212.78
% 212.36/212.78
% 212.36/212.78 Intermediate Status:
% 212.36/212.78 Generated: 852601
% 212.36/212.78 Kept: 250142
% 212.36/212.78 Inuse: 2790
% 212.36/212.78 Deleted: 25261
% 212.36/212.78 Deletedinuse: 436
% 212.36/212.78
% 212.36/212.78 Resimplifying inuse:
% 212.36/212.78 Done
% 212.36/212.78
% 212.36/212.78 Resimplifying inuse:
% 212.36/212.78 Done
% 212.36/212.78
% 212.36/212.78
% 212.36/212.78 Intermediate Status:
% 212.36/212.78 Generated: 859596
% 212.36/212.78 Kept: 252247
% 212.36/212.78 Inuse: 2810
% 212.36/212.78 Deleted: 25261
% 212.36/212.78 Deletedinuse: 436
% 212.36/212.78
% 212.36/212.78 Resimplifying inuse:
% 212.36/212.78 Done
% 212.36/212.78
% 212.36/212.78 Resimplifying inuse:
% 212.36/212.78 Done
% 212.36/212.78
% 212.36/212.78
% 212.36/212.78 Intermediate Status:
% 212.36/212.78 Generated: 866759
% 212.36/212.78 Kept: 254680
% 212.36/212.78 Inuse: 2830
% 212.36/212.78 Deleted: 25262
% 212.36/212.78 Deletedinuse: 437
% 212.36/212.78
% 212.36/212.78 Resimplifying inuse:
% 212.36/212.78 Done
% 212.36/212.78
% 212.36/212.78 Resimplifying inuse:
% 212.36/212.78 Done
% 212.36/212.78
% 212.36/212.78
% 212.36/212.78 Intermediate Status:
% 212.36/212.78 Generated: 873204
% 212.36/212.78 Kept: 256877
% 212.36/212.78 Inuse: 2845
% 212.36/212.78 Deleted: 25263
% 212.36/212.78 Deletedinuse: 438
% 212.36/212.78
% 212.36/212.78 Resimplifying inuse:
% 212.36/212.78 Done
% 212.36/212.78
% 212.36/212.78 Resimplifying inuse:
% 212.36/212.78 Done
% 212.36/212.78
% 212.36/212.78
% 212.36/212.78 Intermediate Status:
% 212.36/212.78 Generated: 879362
% 212.36/212.78 Kept: 258912
% 212.36/212.78 Inuse: 2857
% 212.36/212.78 Deleted: 25263
% 212.36/212.78 Deletedinuse: 438
% 212.36/212.78
% 212.36/212.78 Resimplifying inuse:
% 212.36/212.78 Done
% 212.36/212.78
% 212.36/212.78
% 212.36/212.78 Intermediate Status:
% 212.36/212.78 Generated: 895823
% 212.36/212.78 Kept: 264337
% 212.36/212.78 Inuse: 2865
% 212.36/212.78 Deleted: 25263
% 212.36/212.78 DeletCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------