TSTP Solution File: LCL431-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL431-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n008.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 : Sun Jul 17 07:53:36 EDT 2022
% Result : Timeout 300.03s 300.41s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL431-1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n008.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 : Mon Jul 4 19:14:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.20/1.61 *** allocated 10000 integers for termspace/termends
% 1.20/1.61 *** allocated 10000 integers for clauses
% 1.20/1.61 *** allocated 10000 integers for justifications
% 1.20/1.61 *** allocated 15000 integers for termspace/termends
% 1.20/1.61 *** allocated 22500 integers for termspace/termends
% 1.20/1.61 *** allocated 33750 integers for termspace/termends
% 1.20/1.61 *** allocated 50625 integers for termspace/termends
% 1.20/1.61 Bliksem 1.12
% 1.20/1.61
% 1.20/1.61
% 1.20/1.61 Automatic Strategy Selection
% 1.20/1.61
% 1.20/1.61 Clauses:
% 1.20/1.61 [
% 1.20/1.61 [ =( 'c_Binomial_Obinomial'( 'c_0', 'c_Suc'( X ) ), 'c_0' ) ],
% 1.20/1.61 [ =( 'c_Binomial_Obinomial'( X, 'c_Suc'( 'c_0' ) ), X ) ],
% 1.20/1.61 [ =( 'c_Binomial_Obinomial'( 'c_Suc'( X ), 'c_Suc'( Y ) ), 'c_plus'(
% 1.20/1.61 'c_Binomial_Obinomial'( X, Y ), 'c_Binomial_Obinomial'( X, 'c_Suc'( Y ) )
% 1.20/1.61 , 'tc_nat' ) ) ],
% 1.20/1.61 [ =( 'c_Binomial_Obinomial'( 'c_Suc'( X ), X ), 'c_Suc'( X ) ) ],
% 1.20/1.61 [ =( 'c_Binomial_Obinomial'( X, 'c_0' ), 'c_1' ) ],
% 1.20/1.61 [ =( 'c_Binomial_Obinomial'( X, X ), 'c_1' ) ],
% 1.20/1.61 [ ~( 'c_in'( X, 'c_Datatype_Oo2s'( Y, Z ), Z ) ), =( Y,
% 1.20/1.61 'c_Datatype_Ooption_OSome'( X, Z ) ) ],
% 1.20/1.61 [ 'c_in'( X, 'c_Datatype_Oo2s'( 'c_Datatype_Ooption_OSome'( X, Y ), Y )
% 1.20/1.61 , Y ) ],
% 1.20/1.61 [ =( X, 'c_Datatype_Ooption_ONone' ), =( X, 'c_Datatype_Ooption_OSome'(
% 1.20/1.61 'c_Main_Onot__None__eq__1'( X, Y ), Y ) ) ],
% 1.20/1.61 [ =( X, 'c_Datatype_Ooption_ONone' ), =( X, 'c_Datatype_Ooption_OSome'(
% 1.20/1.61 'c_Main_Onot__Some__eq__1'( X, Y ), Y ) ) ],
% 1.20/1.61 [ =( 'c_Datatype_Oo2s'( 'c_Datatype_Ooption_OSome'( X, Y ), Y ),
% 1.20/1.61 'c_insert'( X, 'c_emptyset', Y ) ) ],
% 1.20/1.61 [ ~( =( 'c_Datatype_Oo2s'( X, Y ), 'c_emptyset' ) ), =( X,
% 1.20/1.61 'c_Datatype_Ooption_ONone' ) ],
% 1.20/1.61 [ =( 'c_Datatype_Oo2s'( 'c_Datatype_Ooption_ONone', X ), 'c_emptyset' )
% 1.20/1.61 ],
% 1.20/1.61 [ ~( =( 'c_Datatype_Ooption_ONone', 'c_Datatype_Ooption_OSome'( X, Y ) )
% 1.20/1.61 ) ],
% 1.20/1.61 [ ~( =( 'c_Datatype_Ooption_OSome'( X, Y ), 'c_Datatype_Ooption_ONone' )
% 1.20/1.61 ) ],
% 1.20/1.61 [ ~( =( 'c_Datatype_Ooption_OSome'( X, Y ), 'c_Datatype_Ooption_OSome'(
% 1.20/1.61 Z, Y ) ) ), =( X, Z ) ],
% 1.20/1.61 [ =( 'c_Nat_Osize'( 'c_Datatype_Ooption_ONone', 'tc_Datatype_Ooption'( X
% 1.20/1.61 ) ), 'c_0' ) ],
% 1.20/1.61 [ =( 'c_Nat_Osize'( 'c_Datatype_Ooption_OSome'( X, Y ),
% 1.20/1.61 'tc_Datatype_Ooption'( Y ) ), 'c_0' ) ],
% 1.20/1.61 [ =( 'c_Nat_Osize'( 'c_Pair'( X, Y, Z, T ), 'tc_prod'( Z, T ) ), 'c_0' )
% 1.20/1.61 ],
% 1.20/1.61 [ =( 'c_Nat_Osize'( 'c_Sum__Type_OInl'( X, Y, Z ), 'tc_sum'( Y, Z ) ),
% 1.20/1.61 'c_0' ) ],
% 1.20/1.61 [ =( 'c_Nat_Osize'( 'c_Sum__Type_OInr'( X, Y, Z ), 'tc_sum'( Z, Y ) ),
% 1.20/1.61 'c_0' ) ],
% 1.20/1.61 [ =( 'c_Datatype_Othe'( 'c_Datatype_Ooption_OSome'( X, Y ), Y ), X ) ]
% 1.20/1.61 ,
% 1.20/1.61 [ =( 'c_Datatype_Ounit_Ounit__case'( X, 'c_Product__Type_OUnity', Y ), X
% 1.20/1.61 ) ],
% 1.20/1.61 [ =( 'c_Datatype_Ounit_Ounit__rec'( X, 'c_Product__Type_OUnity', Y ), X
% 1.20/1.61 ) ],
% 1.20/1.61 [ =( 'c_Nat_Osize'( 'c_Product__Type_OUnity', 'tc_Product__Type_Ounit' )
% 1.20/1.61 , 'c_0' ) ],
% 1.20/1.61 [ ~( =( 'c_Datatype__Universe_OAtom'( X, Y, Z ),
% 1.20/1.61 'c_Datatype__Universe_OAtom'( T, Y, Z ) ) ), =( X, T ) ],
% 1.20/1.61 [ ~( =( 'c_Datatype__Universe_OAtom'( X, Y, Z ),
% 1.20/1.61 'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ],
% 1.20/1.61 [ =( 'c_Relation_ODomain'( 'c_Datatype__Universe_Odprod'( X, Y, Z, T ),
% 1.20/1.61 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.20/1.61 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Ouprod'(
% 1.20/1.61 'c_Relation_ODomain'( X, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.20/1.61 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ),
% 1.20/1.61 'c_Relation_ODomain'( Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.20/1.61 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), Z, T ) ) ],
% 1.20/1.61 [ =( 'c_Relation_ODomain'( 'c_Datatype__Universe_Odsum'( X, Y, Z, T ),
% 1.20/1.61 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.20/1.61 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Ousum'(
% 1.20/1.61 'c_Relation_ODomain'( X, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.20/1.61 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ),
% 1.20/1.61 'c_Relation_ODomain'( Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.20/1.61 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), Z, T ) ) ],
% 1.20/1.61 [ ~( =( 'c_Datatype__Universe_OIn0'( X, Y, Z ),
% 1.20/1.61 'c_Datatype__Universe_OIn0'( T, Y, Z ) ) ), =( X, T ) ],
% 1.20/1.61 [ ~( =( 'c_Datatype__Universe_OIn0'( X, Y, Z ),
% 1.20/1.61 'c_Datatype__Universe_OIn1'( T, Y, Z ) ) ) ],
% 1.20/1.61 [ ~( =( 'c_Datatype__Universe_OIn1'( X, Y, Z ),
% 1.20/1.61 'c_Datatype__Universe_OIn1'( T, Y, Z ) ) ), =( X, T ) ],
% 1.20/1.61 [ ~( =( 'c_Datatype__Universe_OIn1'( X, Y, Z ),
% 1.20/1.61 'c_Datatype__Universe_OIn0'( T, Y, Z ) ) ) ],
% 1.20/1.61 [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ),
% 1.20/1.61 'c_Datatype__Universe_ONumb'( T, Y, Z ) ) ) ],
% 1.20/1.61 [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ),
% 1.20/1.61 'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ],
% 1.20/1.61 [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ),
% 1.20/1.61 'c_Datatype__Universe_OLeaf'( T, Y, Z ) ) ) ],
% 1.20/1.61 [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ),
% 1.20/1.61 'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ],
% 1.20/1.61 [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 1.20/1.61 'c_Datatype__Universe_OScons'( U, W, Z, T ) ) ), =( X, U ) ],
% 1.20/1.61 [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 1.20/1.61 'c_Datatype__Universe_OScons'( U, W, Z, T ) ) ), =( Y, W ) ],
% 1.20/1.61 [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 1.20/1.61 'c_Datatype__Universe_OAtom'( U, Z, T ) ) ) ],
% 1.20/1.61 [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 1.20/1.61 'c_Datatype__Universe_OLeaf'( U, Z, T ) ) ) ],
% 1.20/1.61 [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 1.20/1.61 'c_Datatype__Universe_ONumb'( U, Z, T ) ) ) ],
% 1.20/1.61 [ =( 'c_Datatype__Universe_Ontrunc'( 'c_0', X, Y, Z ), 'c_emptyset' ) ]
% 1.20/1.61 ,
% 1.20/1.61 [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X ),
% 1.20/1.61 'c_Datatype__Universe_OAtom'( Y, Z, T ), Z, T ),
% 1.20/1.61 'c_Datatype__Universe_OAtom'( Y, Z, T ) ) ],
% 1.20/1.61 [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( 'c_Suc'( X ) ),
% 1.20/1.61 'c_Datatype__Universe_OIn0'( Y, Z, T ), Z, T ),
% 1.20/1.61 'c_Datatype__Universe_OIn0'( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X )
% 1.20/1.61 , Y, Z, T ), Z, T ) ) ],
% 1.20/1.61 [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( 'c_Suc'( X ) ),
% 1.20/1.61 'c_Datatype__Universe_OIn1'( Y, Z, T ), Z, T ),
% 1.20/1.61 'c_Datatype__Universe_OIn1'( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X )
% 1.20/1.61 , Y, Z, T ), Z, T ) ) ],
% 1.20/1.61 [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X ),
% 1.20/1.61 'c_Datatype__Universe_OLeaf'( Y, Z, T ), Z, T ),
% 1.20/1.61 'c_Datatype__Universe_OLeaf'( Y, Z, T ) ) ],
% 1.20/1.61 [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X ),
% 1.20/1.61 'c_Datatype__Universe_ONumb'( Y, Z, T ), Z, T ),
% 1.20/1.61 'c_Datatype__Universe_ONumb'( Y, Z, T ) ) ],
% 1.20/1.61 [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X ),
% 1.20/1.61 'c_Datatype__Universe_OScons'( Y, Z, T, U ), T, U ),
% 1.20/1.61 'c_Datatype__Universe_OScons'( 'c_Datatype__Universe_Ontrunc'( X, Y, T, U
% 1.20/1.61 ), 'c_Datatype__Universe_Ontrunc'( X, Z, T, U ), T, U ) ) ],
% 1.20/1.61 [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( 'c_0' ),
% 1.20/1.61 'c_Datatype__Universe_OIn0'( X, Y, Z ), Y, Z ), 'c_emptyset' ) ],
% 1.20/1.61 [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( 'c_0' ),
% 1.20/1.61 'c_Datatype__Universe_OIn1'( X, Y, Z ), Y, Z ), 'c_emptyset' ) ],
% 1.20/1.61 [ =( 'c_div'( X, 'c_0', 'tc_nat' ), 'c_0' ) ],
% 1.20/1.61 [ =( 'c_Divides_Oop_Amod'( X, 'c_0', 'tc_nat' ), X ) ],
% 1.20/1.61 [ =( 'c_div'( 'c_0', X, 'tc_nat' ), 'c_0' ) ],
% 1.20/1.61 [ =( 'c_div'( X, 'c_Suc'( 'c_0' ), 'tc_nat' ), X ) ],
% 1.20/1.61 [ 'c_lessequals'( 'c_div'( X, Y, 'tc_nat' ), X, 'tc_nat' ) ],
% 1.20/1.61 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_div'( X, Y, 'tc_nat' ), 'c_0' )
% 1.20/1.61 ],
% 1.20/1.61 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), ~( 'c_less'( 'c_1', Y, 'tc_nat' )
% 1.20/1.61 ), 'c_less'( 'c_div'( X, Y, 'tc_nat' ), X, 'tc_nat' ) ],
% 1.20/1.61 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 'c_times'( X, Y,
% 1.20/1.61 'tc_nat' ), 'c_times'( X, Z, 'tc_nat' ), 'tc_nat' ), 'c_div'( Y, Z,
% 1.20/1.61 'tc_nat' ) ) ],
% 1.20/1.61 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 'c_times'( Y, X,
% 1.20/1.61 'tc_nat' ), 'c_times'( Z, X, 'tc_nat' ), 'tc_nat' ), 'c_div'( Y, Z,
% 1.20/1.61 'tc_nat' ) ) ],
% 1.20/1.61 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 'c_plus'( Y,
% 1.20/1.61 'c_times'( Z, X, 'tc_nat' ), 'tc_nat' ), X, 'tc_nat' ), 'c_plus'( Z,
% 1.20/1.61 'c_div'( Y, X, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.20/1.61 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 'c_times'( X, Y,
% 1.20/1.61 'tc_nat' ), X, 'tc_nat' ), Y ) ],
% 1.20/1.61 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 'c_plus'( Y,
% 1.20/1.61 'c_times'( X, Z, 'tc_nat' ), 'tc_nat' ), X, 'tc_nat' ), 'c_plus'( Z,
% 1.20/1.61 'c_div'( Y, X, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.20/1.61 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 'c_times'( Y, X,
% 1.20/1.61 'tc_nat' ), X, 'tc_nat' ), Y ) ],
% 1.20/1.61 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( X, X, 'tc_nat' ),
% 1.20/1.61 'c_1' ) ],
% 1.20/1.61 [ ~( 'c_Divides_Oop_Advd'( 'c_0', X, 'tc_nat' ) ), =( X, 'c_0' ) ],
% 1.20/1.61 [ 'c_Divides_Oop_Advd'( 'c_0', 'c_0', 'tc_nat' ) ],
% 1.20/1.61 [ ~( 'c_Divides_Oop_Advd'( X, 'c_Suc'( 'c_0' ), 'tc_nat' ) ), =( X,
% 1.20/1.61 'c_Suc'( 'c_0' ) ) ],
% 1.20/1.61 [ 'c_Divides_Oop_Advd'( 'c_Suc'( 'c_0' ), 'c_Suc'( 'c_0' ), 'tc_nat' ) ]
% 1.20/1.61 ,
% 1.20/1.61 [ 'c_Divides_Oop_Advd'( X, X, 'tc_nat' ) ],
% 1.20/1.61 [ =( 'c_Divides_Oop_Amod'( 'c_0', X, 'tc_nat' ), 'c_0' ) ],
% 1.20/1.61 [ =( 'c_Divides_Oop_Amod'( X, 'c_Suc'( 'c_0' ), 'tc_nat' ), 'c_0' ) ]
% 1.20/1.61 ,
% 1.20/1.61 [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, Y, 'tc_nat' ), X, 'tc_nat' ),
% 1.20/1.61 'c_Divides_Oop_Amod'( Y, X, 'tc_nat' ) ) ],
% 1.20/1.61 [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, Y, 'tc_nat' ), Y, 'tc_nat' ),
% 1.20/1.61 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ) ) ],
% 1.20/1.61 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_lessequals'(
% 1.20/1.61 'c_Divides_Oop_Amod'( Y, X, 'tc_nat' ), X, 'tc_nat' ) ],
% 1.20/1.61 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_Divides_Oop_Amod'( X, Y,
% 1.20/1.61 'tc_nat' ), X ) ],
% 1.20/1.61 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_Divides_Oop_Amod'( Y
% 1.20/1.61 , X, 'tc_nat' ), X, 'tc_nat' ) ],
% 1.20/1.61 [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, 'c_times'( Y, Z, 'tc_nat' ),
% 1.20/1.61 'tc_nat' ), Z, 'tc_nat' ), 'c_Divides_Oop_Amod'( X, Z, 'tc_nat' ) ) ]
% 1.20/1.61 ,
% 1.20/1.61 [ =( 'c_Divides_Oop_Amod'( 'c_times'( X, Y, 'tc_nat' ), X, 'tc_nat' ),
% 1.20/1.61 'c_0' ) ],
% 1.20/1.61 [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, 'c_times'( Y, Z, 'tc_nat' ),
% 1.20/1.61 'tc_nat' ), Y, 'tc_nat' ), 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ) ) ]
% 1.20/1.61 ,
% 1.20/1.61 [ =( 'c_Divides_Oop_Amod'( 'c_times'( X, Y, 'tc_nat' ), Y, 'tc_nat' ),
% 1.20/1.61 'c_0' ) ],
% 1.20/1.61 [ =( 'c_Divides_Oop_Amod'( X, X, 'tc_nat' ), 'c_0' ) ],
% 1.20/1.61 [ =( 'c_div'( 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ), Y, 'tc_nat' ),
% 1.20/1.61 'c_0' ) ],
% 1.20/1.61 [ =( 'c_Divides_Oop_Amod'( 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ), Y,
% 1.20/1.61 'tc_nat' ), 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ) ) ],
% 1.20/1.61 [ ~( =( 'c_emptyset', 'c_Equiv__Relations_Oquotient'( X, Y, Z ) ) ), =(
% 1.20/1.61 X, 'c_emptyset' ) ],
% 1.20/1.61 [ =( 'c_emptyset', 'c_Equiv__Relations_Oquotient'( 'c_emptyset', X, Y )
% 1.20/1.61 ) ],
% 1.20/1.61 [ ~( =( 'c_Equiv__Relations_Oquotient'( X, Y, Z ), 'c_emptyset' ) ), =(
% 1.20/1.61 X, 'c_emptyset' ) ],
% 1.20/1.61 [ =( 'c_Equiv__Relations_Oquotient'( 'c_emptyset', X, Y ), 'c_emptyset'
% 1.20/1.61 ) ],
% 1.20/1.61 [ =( 'c_Extraction_Osumbool_Osumbool__case'( X, Y,
% 1.20/1.61 'c_Extraction_Osumbool_OLeft', Z ), X ) ],
% 1.20/1.61 [ =( 'c_Extraction_Osumbool_Osumbool__case'( X, Y,
% 1.20/1.61 'c_Extraction_Osumbool_ORight', Z ), Y ) ],
% 1.20/1.61 [ ~( =( 'c_Extraction_Osumbool_OLeft', 'c_Extraction_Osumbool_ORight' )
% 1.20/1.61 ) ],
% 1.20/1.61 [ ~( =( 'c_Extraction_Osumbool_ORight', 'c_Extraction_Osumbool_OLeft' )
% 1.20/1.61 ) ],
% 1.20/1.61 [ =( 'c_Extraction_Osumbool_Osumbool__rec'( X, Y,
% 1.20/1.61 'c_Extraction_Osumbool_OLeft', Z ), X ) ],
% 1.20/1.61 [ =( 'c_Extraction_Osumbool_Osumbool__rec'( X, Y,
% 1.20/1.61 'c_Extraction_Osumbool_ORight', Z ), Y ) ],
% 1.20/1.61 [ =( 'c_Nat_Osize'( 'c_Extraction_Osumbool_OLeft',
% 1.20/1.61 'tc_Extraction_Osumbool' ), 'c_0' ) ],
% 1.20/1.61 [ =( 'c_Nat_Osize'( 'c_Extraction_Osumbool_ORight',
% 1.20/1.61 'tc_Extraction_Osumbool' ), 'c_0' ) ],
% 1.20/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~(
% 1.20/1.61 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_lessequals'( Y
% 1.20/1.61 , 'c_Finite__Set_OMax'( Z, X ), X ), =( Z, 'c_emptyset' ) ],
% 1.20/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.20/1.61 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'( 'c_Finite__Set_OMax'(
% 1.20/1.61 Y, X ), Y, X ), =( Y, 'c_emptyset' ) ],
% 1.20/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.20/1.61 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), =( Y, 'c_emptyset' ), =(
% 1.20/1.61 'c_Finite__Set_OMax'( 'c_insert'( Z, Y, X ), X ), 'c_Orderings_Omax'( Z,
% 1.20/1.61 'c_Finite__Set_OMax'( Y, X ), X ) ) ],
% 1.20/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~(
% 1.20/1.61 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_lessequals'(
% 1.20/1.61 'c_Finite__Set_OMax'( Z, X ), T, X ) ), 'c_lessequals'( Y, T, X ), =( Z,
% 1.20/1.61 'c_emptyset' ) ],
% 1.20/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.20/1.61 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'(
% 1.20/1.61 'c_Main_OMax__le__iff__1'( Y, Z, X ), Y, X ), 'c_lessequals'(
% 1.20/1.61 'c_Finite__Set_OMax'( Y, X ), Z, X ), =( Y, 'c_emptyset' ) ],
% 1.20/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.20/1.61 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_lessequals'(
% 1.20/1.61 'c_Main_OMax__le__iff__1'( Y, Z, X ), Z, X ) ), 'c_lessequals'(
% 1.20/1.61 'c_Finite__Set_OMax'( Y, X ), Z, X ), =( Y, 'c_emptyset' ) ],
% 1.20/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~(
% 1.20/1.61 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_less'(
% 1.20/1.61 'c_Finite__Set_OMax'( Z, X ), T, X ) ), 'c_less'( Y, T, X ), =( Z,
% 1.20/1.61 'c_emptyset' ) ],
% 1.20/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.20/1.61 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'(
% 1.20/1.61 'c_Main_OMax__less__iff__1'( Y, Z, X ), Y, X ), 'c_less'(
% 1.20/1.61 'c_Finite__Set_OMax'( Y, X ), Z, X ), =( Y, 'c_emptyset' ) ],
% 1.20/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.20/1.61 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_less'(
% 1.20/1.61 'c_Main_OMax__less__iff__1'( Y, Z, X ), Z, X ) ), 'c_less'(
% 1.20/1.61 'c_Finite__Set_OMax'( Y, X ), Z, X ), =( Y, 'c_emptyset' ) ],
% 1.20/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_Finite__Set_OMax'(
% 1.20/1.61 'c_insert'( Y, 'c_emptyset', X ), X ), Y ) ],
% 1.20/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~(
% 1.20/1.61 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_lessequals'(
% 1.20/1.61 T, 'c_Finite__Set_OMin'( Z, X ), X ) ), 'c_lessequals'( T, Y, X ), =( Z,
% 1.20/1.61 'c_emptyset' ) ],
% 1.20/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.20/1.61 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'(
% 1.20/1.61 'c_Main_OMin__ge__iff__1'( Y, Z, X ), Y, X ), 'c_lessequals'( Z,
% 1.20/1.61 'c_Finite__Set_OMin'( Y, X ), X ), =( Y, 'c_emptyset' ) ],
% 1.20/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.20/1.61 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_lessequals'( Z,
% 1.20/1.61 'c_Main_OMin__ge__iff__1'( Y, Z, X ), X ) ), 'c_lessequals'( Z,
% 1.20/1.61 'c_Finite__Set_OMin'( Y, X ), X ), =( Y, 'c_emptyset' ) ],
% 1.20/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~(
% 1.20/1.61 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_less'( T,
% 1.20/1.61 'c_Finite__Set_OMin'( Z, X ), X ) ), 'c_less'( T, Y, X ), =( Z,
% 1.20/1.61 'c_emptyset' ) ],
% 1.20/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.20/1.61 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'(
% 1.20/1.61 'c_Main_OMin__gr__iff__1'( Y, Z, X ), Y, X ), 'c_less'( Z,
% 1.20/1.61 'c_Finite__Set_OMin'( Y, X ), X ), =( Y, 'c_emptyset' ) ],
% 1.20/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.20/1.61 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_less'( Z,
% 1.20/1.61 'c_Main_OMin__gr__iff__1'( Y, Z, X ), X ) ), 'c_less'( Z,
% 1.20/1.61 'c_Finite__Set_OMin'( Y, X ), X ), =( Y, 'c_emptyset' ) ],
% 1.20/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.20/1.61 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'( 'c_Finite__Set_OMin'(
% 1.20/1.61 Y, X ), Y, X ), =( Y, 'c_emptyset' ) ],
% 1.20/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.20/1.61 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), =( Y, 'c_emptyset' ), =(
% 1.20/1.61 'c_Finite__Set_OMin'( 'c_insert'( Z, Y, X ), X ), 'c_Orderings_Omin'( Z,
% 1.20/1.61 'c_Finite__Set_OMin'( Y, X ), X ) ) ],
% 1.20/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~(
% 1.20/1.61 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_lessequals'(
% 1.20/1.61 'c_Finite__Set_OMin'( Z, X ), Y, X ), =( Z, 'c_emptyset' ) ],
% 1.20/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_Finite__Set_OMin'(
% 1.20/1.61 'c_insert'( Y, 'c_emptyset', X ), X ), Y ) ],
% 1.20/1.61 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), ~( =(
% 1.20/1.61 'c_Finite__Set_Ocard'( X, Y ), 'c_0' ) ), =( X, 'c_emptyset' ) ],
% 1.20/1.61 [ ~( 'c_in'( 'c_emptyset', 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ),
% 1.20/1.61 =( 'c_Finite__Set_Ocard'( 'c_emptyset', X ), 'c_0' ) ],
% 1.20/1.61 [ =( 'c_Finite__Set_Ocard'( 'c_emptyset', X ), 'c_0' ) ],
% 1.20/1.61 [ 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ), =(
% 1.20/1.61 'c_Finite__Set_Ocard'( X, Y ), 'c_0' ) ],
% 1.20/1.61 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( Z,
% 1.20/1.61 X, Y ), =( 'c_Finite__Set_Ocard'( 'c_insert'( Z, X, Y ), Y ), 'c_Suc'(
% 1.20/1.61 'c_Finite__Set_Ocard'( X, Y ) ) ) ],
% 1.20/1.61 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'(
% 1.20/1.61 'c_minus'( X, Z, 'tc_set'( Y ) ), 'c_Finite__Set_OFinites', 'tc_set'( Y )
% 1.20/1.61 ) ],
% 1.20/1.61 [ ~( 'c_in'( 'c_minus'( X, 'c_insert'( Y, Z, T ), 'tc_set'( T ) ),
% 1.20/1.61 'c_Finite__Set_OFinites', 'tc_set'( T ) ) ), 'c_in'( 'c_minus'( X, Z,
% 1.20/1.61 'tc_set'( T ) ), 'c_Finite__Set_OFinites', 'tc_set'( T ) ) ],
% 1.20/1.61 [ ~( 'c_in'( 'c_minus'( X, Y, 'tc_set'( Z ) ), 'c_Finite__Set_OFinites'
% 1.20/1.61 , 'tc_set'( Z ) ) ), 'c_in'( 'c_minus'( X, 'c_insert'( T, Y, Z ),
% 1.20/1.61 'tc_set'( Z ) ), 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ],
% 1.20/1.61 [ ~( 'c_in'( 'c_Pow'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'(
% 1.20/1.61 'tc_set'( Y ) ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 1.20/1.61 ],
% 1.20/1.61 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'(
% 1.20/1.61 'c_Pow'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'( Y ) ) ) ]
% 1.20/1.61 ,
% 1.20/1.61 [ ~( 'c_in'( 'c_union'( X, Y, Z ), 'c_Finite__Set_OFinites', 'tc_set'( Z
% 1.20/1.61 ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ],
% 1.20/1.61 [ ~( 'c_in'( 'c_union'( X, Y, Z ), 'c_Finite__Set_OFinites', 'tc_set'( Z
% 1.20/1.61 ) ) ), 'c_in'( Y, 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ],
% 1.20/1.61 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), ~( 'c_in'(
% 1.20/1.61 Z, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 'c_union'( Z, X,
% 1.20/1.61 Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 1.20/1.61 [ ~( 'c_in'( 'c_Relation_Oconverse'( X, Y, Z ), 'c_Finite__Set_OFinites'
% 1.20/1.61 , 'tc_set'( 'tc_prod'( Z, Y ) ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites'
% 1.20/1.61 , 'tc_set'( 'tc_prod'( Y, Z ) ) ) ],
% 1.20/1.61 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 'tc_prod'( Y, Z ) )
% 1.20/1.61 ) ), 'c_in'( 'c_Relation_Oconverse'( X, Y, Z ), 'c_Finite__Set_OFinites'
% 1.20/1.61 , 'tc_set'( 'tc_prod'( Z, Y ) ) ) ],
% 1.20/1.61 [ ~( 'c_in'( 'c_insert'( X, Y, Z ), 'c_Finite__Set_OFinites', 'tc_set'(
% 1.20/1.61 Z ) ) ), 'c_in'( Y, 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ],
% 1.20/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.20/1.61 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_lessequals'(
% 1.20/1.61 'c_Finite__Set_OMin'( Y, X ), 'c_Finite__Set_OMax'( Y, X ), X ), =( Y,
% 1.20/1.61 'c_emptyset' ) ],
% 1.20/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~(
% 1.20/1.61 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), =( Z,
% 1.20/1.61 'c_emptyset' ), =( 'c_Orderings_Omin'( Y, 'c_Finite__Set_OMax'( Z, X ), X
% 1.20/1.61 ), Y ) ],
% 1.20/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~(
% 1.20/1.61 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), =( Z,
% 1.20/1.61 'c_emptyset' ), =( 'c_Orderings_Omax'( Y, 'c_Finite__Set_OMin'( Z, X ), X
% 1.20/1.61 ), Y ) ],
% 1.20/1.61 [ =( 'c_NatArith_Oof__nat'( X, 'tc_nat' ), X ) ],
% 1.20/1.61 [ =( 'c_Fun_Oid'( X, Y ), X ) ],
% 1.20/1.61 [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, 'c_0', 'tc_nat', 'tc_nat' ) ), X ) ]
% 1.20/1.61 ,
% 1.20/1.61 [ =( 'c_GCD_Ogcd'( 'c_Pair'( 'c_0', X, 'tc_nat', 'tc_nat' ) ), X ) ]
% 1.20/1.61 ,
% 1.20/1.61 [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, 'c_Suc'( 'c_0' ), 'tc_nat', 'tc_nat' ) )
% 1.20/1.61 , 'c_1' ) ],
% 1.20/1.61 [ =( 'c_GCD_Ogcd'( 'c_Pair'( 'c_Suc'( 'c_0' ), X, 'tc_nat', 'tc_nat' ) )
% 1.20/1.61 , 'c_1' ) ],
% 1.20/1.61 [ =( 'c_GCD_Ogcd'( 'c_Pair'( 'c_plus'( X, Y, 'tc_nat' ), Y, 'tc_nat',
% 1.20/1.61 'tc_nat' ) ), 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ) ) ) ]
% 1.20/1.61 ,
% 1.20/1.61 [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, 'c_plus'( X, Y, 'tc_nat' ), 'tc_nat',
% 1.20/1.61 'tc_nat' ) ), 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ) ) ) ]
% 1.20/1.61 ,
% 1.20/1.61 [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, 'c_plus'( Y, X, 'tc_nat' ), 'tc_nat',
% 1.20/1.61 'tc_nat' ) ), 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ) ) ) ]
% 1.20/1.61 ,
% 1.20/1.61 [ ~( 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Y, Z, 'tc_nat',
% 1.20/1.61 'tc_nat' ) ), 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_nat' ) ],
% 1.20/1.61 [ ~( 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Y, Z, 'tc_nat',
% 1.20/1.61 'tc_nat' ) ), 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, Z, 'tc_nat' ) ],
% 1.20/1.61 [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_nat' ) ), ~( 'c_Divides_Oop_Advd'(
% 1.20/1.61 X, Z, 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Z, Y
% 1.20/1.61 , 'tc_nat', 'tc_nat' ) ), 'tc_nat' ) ],
% 1.20/1.61 [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, 'c_times'( X, Y, 'tc_nat' ), 'tc_nat',
% 1.20/1.61 'tc_nat' ) ), X ) ],
% 1.20/1.61 [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, X, 'tc_nat', 'tc_nat' ) ), X ) ],
% 1.20/1.61 [ ~( 'c_in'( 'c_UNIV', 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) )
% 1.20/1.61 ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 'c_HOL_Oabs'(
% 1.20/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), X ), 'c_1' ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'class_Power_Orecpower'( X
% 1.20/1.61 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 'c_HOL_Oabs'(
% 1.20/1.61 'c_Nat_Opower'( 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), Y, X ), X
% 1.20/1.61 ), 'c_1' ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0',
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, X ), X ) ), 'c_IntDef_Oneg'(
% 1.20/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls',
% 1.20/1.61 'c_Numeral_Obin__minus'( Y ) ), X ), X ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.20/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls',
% 1.20/1.61 'c_Numeral_Obin__minus'( Y ) ), X ), X ) ), 'c_less'( 'c_0',
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_1',
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, X ), X ) ), 'c_IntDef_Oneg'(
% 1.20/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'(
% 1.20/1.61 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.20/1.61 , X ), X ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.20/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'(
% 1.20/1.61 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.20/1.61 , X ), X ) ), 'c_less'( 'c_1', 'c_Numeral_Onumber__of'( Y, X ), X ) ]
% 1.20/1.61 ,
% 1.20/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'(
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), 'c_IntDef_Oneg'(
% 1.20/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.20/1.61 'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.20/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.20/1.61 'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ) ), 'c_less'(
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'(
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, X ), 'c_1', X ) ), 'c_IntDef_Oneg'(
% 1.20/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.20/1.61 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.20/1.61 'c_Numeral_Obit_OB1' ) ) ), X ), X ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.20/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.20/1.61 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.20/1.61 'c_Numeral_Obit_OB1' ) ) ), X ), X ) ), 'c_less'( 'c_Numeral_Onumber__of'(
% 1.20/1.61 Y, X ), 'c_1', X ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.20/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.20/1.61 'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ) ), ~(
% 1.20/1.61 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'(
% 1.20/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.20/1.61 'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ), 'c_lessequals'(
% 1.20/1.61 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.20/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.20/1.61 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.20/1.61 'c_Numeral_Obit_OB1' ) ) ), X ), X ) ), ~( 'c_lessequals'( 'c_1',
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, X ), X ) ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'(
% 1.20/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.20/1.61 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.20/1.61 'c_Numeral_Obit_OB1' ) ) ), X ), X ), 'c_lessequals'( 'c_1',
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.20/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls',
% 1.20/1.61 'c_Numeral_Obin__minus'( Y ) ), X ), X ) ), ~( 'c_lessequals'(
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'(
% 1.20/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls',
% 1.20/1.61 'c_Numeral_Obin__minus'( Y ) ), X ), X ), 'c_lessequals'(
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.20/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'(
% 1.20/1.61 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.20/1.61 , X ), X ) ), ~( 'c_lessequals'( 'c_Numeral_Onumber__of'( Y, X ), 'c_1',
% 1.20/1.61 X ) ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'(
% 1.20/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'(
% 1.20/1.61 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.20/1.61 , X ), X ), 'c_lessequals'( 'c_Numeral_Onumber__of'( Y, X ), 'c_1', X ) ]
% 1.20/1.61 ,
% 1.20/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'( 'c_1', 'c_1', X
% 1.20/1.61 ), 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.20/1.61 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), X ) ) ]
% 1.20/1.61 ,
% 1.20/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'( 'c_1',
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'(
% 1.20/1.61 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.20/1.61 'c_Numeral_Obit_OB1' ), Y ), X ) ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'(
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, X ), 'c_1', X ), 'c_Numeral_Onumber__of'(
% 1.20/1.61 'c_Numeral_Obin__add'( Y, 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.20/1.61 'c_Numeral_Obit_OB1' ) ), X ) ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_minus'( 'c_1',
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'(
% 1.20/1.61 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.20/1.61 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) ), X ) ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_minus'(
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, X ), 'c_1', X ), 'c_Numeral_Onumber__of'(
% 1.20/1.61 'c_Numeral_Obin__add'( Y, 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'(
% 1.20/1.61 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ) ) ), X ) ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( =( 'c_0',
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, X ) ) ), 'c_IntDef_Oiszero'(
% 1.20/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls',
% 1.20/1.61 'c_Numeral_Obin__minus'( Y ) ), X ), X ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'c_IntDef_Oiszero'(
% 1.20/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls',
% 1.20/1.61 'c_Numeral_Obin__minus'( Y ) ), X ), X ) ), =( 'c_0',
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, X ) ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( =( 'c_1',
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, X ) ) ), 'c_IntDef_Oiszero'(
% 1.20/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'(
% 1.20/1.61 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.20/1.61 , X ), X ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'c_IntDef_Oiszero'(
% 1.20/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'(
% 1.20/1.61 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.20/1.61 , X ), X ) ), =( 'c_1', 'c_Numeral_Onumber__of'( Y, X ) ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( =( 'c_Numeral_Onumber__of'(
% 1.20/1.61 Y, X ), 'c_0' ) ), 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'(
% 1.20/1.61 'c_Numeral_Obin__add'( Y, 'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ),
% 1.20/1.61 X ), X ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'c_IntDef_Oiszero'(
% 1.20/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.20/1.61 'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ) ), =(
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, X ), 'c_0' ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( =( 'c_Numeral_Onumber__of'(
% 1.20/1.61 Y, X ), 'c_1' ) ), 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'(
% 1.20/1.61 'c_Numeral_Obin__add'( Y, 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'(
% 1.20/1.61 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ) ) ), X ), X ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'c_IntDef_Oiszero'(
% 1.20/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.20/1.61 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.20/1.61 'c_Numeral_Obit_OB1' ) ) ), X ), X ) ), =( 'c_Numeral_Onumber__of'( Y, X
% 1.20/1.61 ), 'c_1' ) ],
% 1.20/1.61 [ ~( =( 'c_IntDef_Oint'( X ), 'c_Numeral_Onumber__of'( Y,
% 1.20/1.61 'tc_IntDef_Oint' ) ) ), =( X, 'c_IntDef_Onat'( 'c_Numeral_Onumber__of'( Y
% 1.20/1.61 , 'tc_IntDef_Oint' ) ) ) ],
% 1.20/1.61 [ ~( =( 'c_IntDef_Oint'( X ), 'c_Numeral_Onumber__of'( Y,
% 1.20/1.61 'tc_IntDef_Oint' ) ) ), 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Y
% 1.20/1.61 , 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.20/1.61 [ ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.20/1.61 ), 'tc_IntDef_Oint' ) ), =( 'c_IntDef_Oint'( 'c_IntDef_Onat'(
% 1.20/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ) ) ),
% 1.20/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ) ) ],
% 1.20/1.61 [ =( 'c_IntDef_Onat'( 'c_1' ), 'c_Suc'( 'c_0' ) ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_IntDef_Oof__int'(
% 1.20/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', 'tc_IntDef_Oint' ), X ),
% 1.20/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ) ) ],
% 1.20/1.61 [ ~( 'c_less'( 'c_Suc'( 'c_0' ), 'c_IntDef_Onat'( X ), 'tc_nat' ) ),
% 1.20/1.61 'c_less'( 'c_1', X, 'tc_IntDef_Oint' ) ],
% 1.20/1.61 [ ~( 'c_less'( 'c_1', X, 'tc_IntDef_Oint' ) ), 'c_less'( 'c_Suc'( 'c_0'
% 1.20/1.61 ), 'c_IntDef_Onat'( X ), 'tc_nat' ) ],
% 1.20/1.61 [ =( 'c_plus'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' )
% 1.20/1.61 , 'c_minus'( X, Y, 'tc_IntDef_Oint' ) ) ],
% 1.20/1.61 [ ~( 'c_less'( 'c_HOL_Oabs'( X, 'tc_IntDef_Oint' ), 'c_1',
% 1.20/1.61 'tc_IntDef_Oint' ) ), =( X, 'c_0' ) ],
% 1.20/1.61 [ 'c_less'( 'c_HOL_Oabs'( 'c_0', 'tc_IntDef_Oint' ), 'c_1',
% 1.20/1.61 'tc_IntDef_Oint' ) ],
% 1.20/1.61 [ ~( 'c_less'( X, 'c_plus'( Y, 'c_1', 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint' ) ), 'c_lessequals'( X, Y, 'tc_IntDef_Oint' ) ],
% 1.20/1.61 [ ~( 'c_lessequals'( X, Y, 'tc_IntDef_Oint' ) ), 'c_less'( X, 'c_plus'(
% 1.20/1.61 Y, 'c_1', 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.20/1.61 [ ~( 'c_lessequals'( X, 'c_minus'( Y, 'c_1', 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint' ) ), 'c_less'( X, Y, 'tc_IntDef_Oint' ) ],
% 1.20/1.61 [ ~( 'c_less'( X, Y, 'tc_IntDef_Oint' ) ), 'c_lessequals'( X, 'c_minus'(
% 1.20/1.61 Y, 'c_1', 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.20/1.61 [ ~( 'c_in'( X, 'c_IntDef_OInteg', 'tc_set'( 'tc_prod'( 'tc_nat',
% 1.20/1.61 'tc_nat' ) ) ) ), ~( 'c_in'( Y, 'c_IntDef_OInteg', 'tc_set'( 'tc_prod'(
% 1.20/1.61 'tc_nat', 'tc_nat' ) ) ) ), ~( =( 'c_IntDef_OAbs__Integ'( Y ),
% 1.20/1.61 'c_IntDef_OAbs__Integ'( X ) ) ), =( Y, X ) ],
% 1.20/1.61 [ ~( 'c_in'( X, 'c_IntDef_OInteg', 'tc_set'( 'tc_prod'( 'tc_nat',
% 1.20/1.61 'tc_nat' ) ) ) ), =( 'c_IntDef_ORep__Integ'( 'c_IntDef_OAbs__Integ'( X )
% 1.20/1.61 ), X ) ],
% 1.20/1.61 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'c_in'( 'c_0',
% 1.20/1.61 'c_IntDef_OInts', X ) ],
% 1.20/1.61 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'c_in'( 'c_1',
% 1.20/1.61 'c_IntDef_OInts', X ) ],
% 1.20/1.61 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_in'( Y,
% 1.20/1.61 'c_IntDef_OInts', X ) ), ~( 'c_in'( Z, 'c_IntDef_OInts', X ) ), 'c_in'(
% 1.20/1.61 'c_plus'( Z, Y, X ), 'c_IntDef_OInts', X ) ],
% 1.20/1.61 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_in'( Y,
% 1.20/1.61 'c_IntDef_OInts', X ) ), ~( 'c_in'( Z, 'c_IntDef_OInts', X ) ), 'c_in'(
% 1.20/1.61 'c_minus'( Z, Y, X ), 'c_IntDef_OInts', X ) ],
% 1.20/1.61 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_in'( Y,
% 1.20/1.61 'c_IntDef_OInts', X ) ), 'c_in'( 'c_uminus'( Y, X ), 'c_IntDef_OInts', X
% 1.20/1.61 ) ],
% 1.20/1.61 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_in'( Y,
% 1.20/1.61 'c_IntDef_OInts', X ) ), ~( 'c_in'( Z, 'c_IntDef_OInts', X ) ), 'c_in'(
% 1.20/1.61 'c_times'( Z, Y, X ), 'c_IntDef_OInts', X ) ],
% 1.20/1.61 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 'c_in'(
% 1.20/1.61 'c_0', 'c_IntDef_ONats', X ) ],
% 1.20/1.61 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 'c_in'(
% 1.20/1.61 'c_1', 'c_IntDef_ONats', X ) ],
% 1.20/1.61 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), ~(
% 1.20/1.61 'c_in'( Y, 'c_IntDef_ONats', X ) ), ~( 'c_in'( Z, 'c_IntDef_ONats', X ) )
% 1.20/1.61 , 'c_in'( 'c_plus'( Z, Y, X ), 'c_IntDef_ONats', X ) ],
% 1.20/1.61 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), ~(
% 1.20/1.61 'c_in'( Y, 'c_IntDef_ONats', X ) ), ~( 'c_in'( Z, 'c_IntDef_ONats', X ) )
% 1.20/1.61 , 'c_in'( 'c_times'( Z, Y, X ), 'c_IntDef_ONats', X ) ],
% 1.20/1.61 [ =( 'c_HOL_Oabs'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ),
% 1.20/1.61 'c_IntDef_Oint'( X ) ) ],
% 1.20/1.61 [ ~( =( 'c_Relation_OImage'( 'c_IntDef_Ointrel', 'c_insert'( X,
% 1.20/1.61 'c_emptyset', 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'tc_prod'( 'tc_nat',
% 1.20/1.61 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'c_Relation_OImage'(
% 1.20/1.61 'c_IntDef_Ointrel', 'c_insert'( Y, 'c_emptyset', 'tc_prod'( 'tc_nat',
% 1.20/1.61 'tc_nat' ) ), 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat',
% 1.20/1.61 'tc_nat' ) ) ) ), 'c_in'( 'c_Pair'( X, Y, 'tc_prod'( 'tc_nat', 'tc_nat' )
% 1.20/1.61 , 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'c_IntDef_Ointrel', 'tc_prod'(
% 1.20/1.61 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ]
% 1.20/1.61 ,
% 1.20/1.61 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'(
% 1.20/1.61 'tc_nat', 'tc_nat' ) ), 'c_IntDef_Ointrel', 'tc_prod'( 'tc_prod'(
% 1.20/1.61 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ), =(
% 1.20/1.61 'c_Relation_OImage'( 'c_IntDef_Ointrel', 'c_insert'( X, 'c_emptyset',
% 1.20/1.61 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'tc_prod'( 'tc_nat', 'tc_nat' ),
% 1.20/1.61 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'c_Relation_OImage'(
% 1.20/1.61 'c_IntDef_Ointrel', 'c_insert'( Y, 'c_emptyset', 'tc_prod'( 'tc_nat',
% 1.20/1.61 'tc_nat' ) ), 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat',
% 1.20/1.61 'tc_nat' ) ) ) ],
% 1.20/1.61 [ ~( =( 'c_0', 'c_1' ) ) ],
% 1.20/1.61 [ =( 'c_IntDef_Oint'( 'c_1' ), 'c_1' ) ],
% 1.20/1.61 [ =( 'c_IntDef_Oint'( 'c_Suc'( X ) ), 'c_plus'( 'c_1', 'c_IntDef_Oint'(
% 1.20/1.61 X ), 'tc_IntDef_Oint' ) ) ],
% 1.20/1.61 [ ~( =( 'c_IntDef_Oint'( X ), 'c_0' ) ), =( X, 'c_0' ) ],
% 1.20/1.61 [ =( 'c_IntDef_Oint'( 'c_0' ), 'c_0' ) ],
% 1.20/1.61 [ ~( =( 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ) ) ), =( X, Y ) ],
% 1.20/1.61 [ ~( 'c_lessequals'( 'c_IntDef_Oint'( X ), 'c_0', 'tc_IntDef_Oint' ) ),
% 1.20/1.61 =( X, 'c_0' ) ],
% 1.20/1.61 [ 'c_lessequals'( 'c_IntDef_Oint'( 'c_0' ), 'c_0', 'tc_IntDef_Oint' ) ]
% 1.20/1.61 ,
% 1.20/1.61 [ ~( 'c_less'( 'c_IntDef_Oint'( X ), 'c_0', 'tc_IntDef_Oint' ) ) ],
% 1.20/1.61 [ ~( 'c_lessequals'( 'c_0', X, 'tc_IntDef_Oint' ) ), =( 'c_IntDef_Oint'(
% 1.20/1.61 'c_IntDef_Onat'( X ) ), X ) ],
% 1.20/1.61 [ 'c_lessequals'( 'c_0', X, 'tc_IntDef_Oint' ), =( 'c_IntDef_Oint'(
% 1.20/1.61 'c_IntDef_Onat'( X ) ), 'c_0' ) ],
% 1.20/1.61 [ 'c_in'( 'c_Relation_OImage'( 'c_IntDef_Ointrel', 'c_insert'( 'c_Pair'(
% 1.20/1.61 X, Y, 'tc_nat', 'tc_nat' ), 'c_emptyset', 'tc_prod'( 'tc_nat', 'tc_nat' )
% 1.20/1.61 ), 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ),
% 1.20/1.61 'c_IntDef_OInteg', 'tc_set'( 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ],
% 1.20/1.61 [ ~( 'c_in'( 'c_Pair'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ), 'c_Pair'( Z
% 1.20/1.61 , T, 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'(
% 1.20/1.61 'tc_nat', 'tc_nat' ) ), 'c_IntDef_Ointrel', 'tc_prod'( 'tc_prod'(
% 1.20/1.61 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ), =( 'c_plus'(
% 1.20/1.61 X, T, 'tc_nat' ), 'c_plus'( Z, Y, 'tc_nat' ) ) ],
% 1.20/1.61 [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_plus'( Z, T, 'tc_nat' ) ) ),
% 1.20/1.61 'c_in'( 'c_Pair'( 'c_Pair'( X, T, 'tc_nat', 'tc_nat' ), 'c_Pair'( Z, Y,
% 1.20/1.61 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'(
% 1.20/1.61 'tc_nat', 'tc_nat' ) ), 'c_IntDef_Ointrel', 'tc_prod'( 'tc_prod'(
% 1.20/1.61 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ],
% 1.20/1.61 [ =( 'c_IntDef_Onat'( 'c_IntDef_Oint'( X ) ), X ) ],
% 1.20/1.61 [ ~( 'c_lessequals'( X, 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_IntDef_Onat'(
% 1.20/1.61 X ), 'c_0' ) ],
% 1.20/1.61 [ =( 'c_IntDef_Onat'( 'c_0' ), 'c_0' ) ],
% 1.20/1.61 [ =( 'c_IntDef_Onat'( 'c_uminus'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint'
% 1.20/1.61 ) ), 'c_0' ) ],
% 1.20/1.61 [ 'c_IntDef_Oneg'( 'c_uminus'( 'c_IntDef_Oint'( 'c_Suc'( X ) ),
% 1.20/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.20/1.61 [ ~( =( 'c_uminus'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ),
% 1.20/1.61 'c_IntDef_Oint'( Y ) ) ), =( X, 'c_0' ) ],
% 1.20/1.61 [ ~( =( 'c_uminus'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ),
% 1.20/1.61 'c_IntDef_Oint'( Y ) ) ), =( Y, 'c_0' ) ],
% 1.20/1.61 [ =( 'c_uminus'( 'c_IntDef_Oint'( 'c_0' ), 'tc_IntDef_Oint' ),
% 1.20/1.61 'c_IntDef_Oint'( 'c_0' ) ) ],
% 1.20/1.61 [ ~( 'c_less'( 'c_IntDef_Oint'( X ), 'c_uminus'( 'c_IntDef_Oint'( Y ),
% 1.20/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ],
% 1.20/1.61 [ ~( 'c_IntDef_Oneg'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ) ) ],
% 1.20/1.61 [ ~( 'c_lessequals'( 'c_0', 'c_uminus'( 'c_IntDef_Oint'( 'c_Suc'( X ) )
% 1.20/1.61 , 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ],
% 1.20/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_0',
% 1.20/1.61 'c_IntDef_Oof__int'( Y, X ) ) ), =( 'c_0', Y ) ],
% 1.20/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 'c_0',
% 1.20/1.61 'c_IntDef_Oof__int'( 'c_0', X ) ) ],
% 1.20/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.20/1.61 'c_0', 'c_IntDef_Oof__int'( Y, X ), X ) ), 'c_lessequals'( 'c_0', Y,
% 1.20/1.61 'tc_IntDef_Oint' ) ],
% 1.20/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.20/1.61 'c_0', Y, 'tc_IntDef_Oint' ) ), 'c_lessequals'( 'c_0',
% 1.20/1.61 'c_IntDef_Oof__int'( Y, X ), X ) ],
% 1.20/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0'
% 1.20/1.61 , 'c_IntDef_Oof__int'( Y, X ), X ) ), 'c_less'( 'c_0', Y,
% 1.20/1.61 'tc_IntDef_Oint' ) ],
% 1.20/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0'
% 1.20/1.61 , Y, 'tc_IntDef_Oint' ) ), 'c_less'( 'c_0', 'c_IntDef_Oof__int'( Y, X ),
% 1.20/1.61 X ) ],
% 1.20/1.61 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.20/1.61 'c_IntDef_Oof__int'( 'c_1', X ), 'c_1' ) ],
% 1.20/1.61 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.20/1.61 'c_IntDef_Oof__int'( 'c_plus'( Y, Z, 'tc_IntDef_Oint' ), X ), 'c_plus'(
% 1.20/1.61 'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ), X ) ) ],
% 1.20/1.61 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.20/1.61 'c_IntDef_Oof__int'( 'c_minus'( Y, Z, 'tc_IntDef_Oint' ), X ), 'c_minus'(
% 1.20/1.61 'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ), X ) ) ],
% 1.20/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.20/1.61 'c_IntDef_Oof__int'( Y, X ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.20/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.20/1.61 'c_IntDef_Oof__int'( 'c_0', X ), 'c_0' ) ],
% 1.20/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.20/1.61 'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ) ) ), =( Y, Z ) ]
% 1.20/1.61 ,
% 1.20/1.61 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.20/1.61 'c_IntDef_Oof__int'( 'c_IntDef_Oint'( Y ), X ), 'c_NatArith_Oof__nat'( Y
% 1.20/1.61 , X ) ) ],
% 1.20/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.20/1.61 'c_IntDef_Oof__int'( Y, X ), 'c_0', X ) ), 'c_lessequals'( Y, 'c_0',
% 1.20/1.61 'tc_IntDef_Oint' ) ],
% 1.20/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.20/1.61 Y, 'c_0', 'tc_IntDef_Oint' ) ), 'c_lessequals'( 'c_IntDef_Oof__int'( Y, X
% 1.20/1.61 ), 'c_0', X ) ],
% 1.20/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.20/1.61 'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ), X ) ),
% 1.20/1.61 'c_lessequals'( Y, Z, 'tc_IntDef_Oint' ) ],
% 1.20/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.20/1.61 Y, Z, 'tc_IntDef_Oint' ) ), 'c_lessequals'( 'c_IntDef_Oof__int'( Y, X ),
% 1.20/1.61 'c_IntDef_Oof__int'( Z, X ), X ) ],
% 1.20/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'(
% 1.20/1.61 'c_IntDef_Oof__int'( Y, X ), 'c_0', X ) ), 'c_less'( Y, 'c_0',
% 1.20/1.61 'tc_IntDef_Oint' ) ],
% 1.20/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( Y,
% 1.20/1.61 'c_0', 'tc_IntDef_Oint' ) ), 'c_less'( 'c_IntDef_Oof__int'( Y, X ), 'c_0'
% 1.20/1.61 , X ) ],
% 1.20/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'(
% 1.20/1.61 'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ), X ) ), 'c_less'(
% 1.20/1.61 Y, Z, 'tc_IntDef_Oint' ) ],
% 1.20/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( Y, Z,
% 1.20/1.61 'tc_IntDef_Oint' ) ), 'c_less'( 'c_IntDef_Oof__int'( Y, X ),
% 1.20/1.61 'c_IntDef_Oof__int'( Z, X ), X ) ],
% 1.20/1.61 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.20/1.61 'c_IntDef_Oof__int'( 'c_uminus'( Y, 'tc_IntDef_Oint' ), X ), 'c_uminus'(
% 1.20/1.61 'c_IntDef_Oof__int'( Y, X ), X ) ) ],
% 1.20/1.61 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.20/1.61 'c_IntDef_Oof__int'( 'c_times'( Y, Z, 'tc_IntDef_Oint' ), X ), 'c_times'(
% 1.20/1.61 'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ), X ) ) ],
% 1.20/1.61 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.20/1.61 'c_IntDef_Oof__int'( 'c_NatArith_Oof__nat'( Y, 'tc_IntDef_Oint' ), X ),
% 1.20/1.61 'c_NatArith_Oof__nat'( Y, X ) ) ],
% 1.20/1.61 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 'c_in'(
% 1.20/1.61 'c_NatArith_Oof__nat'( Y, X ), 'c_IntDef_ONats', X ) ],
% 1.20/1.61 [ ~( 'c_less'( 'c_0', 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ) ),
% 1.20/1.61 'c_less'( 'c_0', X, 'tc_nat' ) ],
% 1.20/1.61 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_IntDef_Oint'(
% 1.20/1.61 X ), 'tc_IntDef_Oint' ) ],
% 1.20/1.61 [ ~( 'c_less'( 'c_0', 'c_IntDef_Onat'( X ), 'tc_nat' ) ), 'c_less'(
% 1.20/1.61 'c_0', X, 'tc_IntDef_Oint' ) ],
% 1.20/1.61 [ ~( 'c_less'( 'c_0', X, 'tc_IntDef_Oint' ) ), 'c_less'( 'c_0',
% 1.20/1.61 'c_IntDef_Onat'( X ), 'tc_nat' ) ],
% 1.20/1.61 [ 'c_lessequals'( 'c_0', 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ) ],
% 1.20/1.61 [ ~( 'c_lessequals'( 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ),
% 1.20/1.61 'tc_IntDef_Oint' ) ), 'c_lessequals'( X, Y, 'tc_nat' ) ],
% 1.20/1.61 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 'c_IntDef_Oint'(
% 1.20/1.61 X ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ],
% 1.20/1.61 [ ~( 'c_less'( 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ),
% 1.20/1.61 'tc_IntDef_Oint' ) ), 'c_less'( X, Y, 'tc_nat' ) ],
% 1.20/1.61 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 'c_IntDef_Oint'( X ),
% 1.20/1.61 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ],
% 1.20/1.61 [ ~( 'c_less'( 'c_IntDef_Onat'( X ), 'c_IntDef_Onat'( Y ), 'tc_nat' ) )
% 1.20/1.61 , 'c_less'( 'c_0', Y, 'tc_IntDef_Oint' ) ],
% 1.20/1.61 [ ~( 'c_less'( 'c_IntDef_Onat'( X ), 'c_IntDef_Onat'( Y ), 'tc_nat' ) )
% 1.20/1.61 , 'c_less'( X, Y, 'tc_IntDef_Oint' ) ],
% 1.20/1.61 [ ~( 'c_less'( X, Y, 'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_0', Y,
% 1.20/1.61 'tc_IntDef_Oint' ) ), 'c_less'( 'c_IntDef_Onat'( X ), 'c_IntDef_Onat'( Y
% 1.20/1.61 ), 'tc_nat' ) ],
% 1.20/1.61 [ =( 'c_Divides_Oop_Amod'( X, 'c_0', 'tc_IntDef_Oint' ), X ) ],
% 1.20/1.61 [ ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_0',
% 1.20/1.61 'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_Numeral_Onumber__of'( Y,
% 1.20/1.61 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_div'(
% 1.20/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.20/1.61 Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_fst'( 'c_IntDiv_OnegateSnd'(
% 1.20/1.61 'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_uminus'( 'c_Numeral_Onumber__of'( X,
% 1.20/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_uminus'(
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint',
% 1.20/1.61 'tc_IntDef_Oint' ) ) ],
% 1.20/1.61 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Y,
% 1.20/1.61 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_div'(
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.20/1.61 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_fst'( 'c_IntDiv_OnegDivAlg'(
% 1.20/1.61 'c_Pair'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.20/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.20/1.61 'tc_IntDef_Oint' ) ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.20/1.61 [ ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_0',
% 1.20/1.61 'tc_IntDef_Oint' ) ), =( 'c_div'( 'c_1', 'c_Numeral_Onumber__of'( X,
% 1.20/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_fst'( 'c_IntDiv_OnegateSnd'(
% 1.20/1.61 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_uminus'( 'c_1', 'tc_IntDef_Oint' ),
% 1.20/1.61 'c_uminus'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ),
% 1.20/1.61 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.20/1.61 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Y,
% 1.20/1.61 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_div'(
% 1.20/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.20/1.61 Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_fst'( 'c_IntDiv_OnegateSnd'(
% 1.20/1.61 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_uminus'( 'c_Numeral_Onumber__of'( X,
% 1.20/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_uminus'(
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint',
% 1.20/1.61 'tc_IntDef_Oint' ) ) ],
% 1.20/1.61 [ ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.20/1.61 ), 'tc_IntDef_Oint' ) ), =( 'c_div'( 'c_1', 'c_Numeral_Onumber__of'( X,
% 1.20/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_fst'( 'c_IntDiv_OposDivAlg'(
% 1.20/1.61 'c_Pair'( 'c_1', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'tc_IntDef_Oint',
% 1.20/1.61 'tc_IntDef_Oint' ) ) ],
% 1.20/1.61 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'(
% 1.20/1.61 Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_div'(
% 1.20/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.20/1.61 Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_fst'( 'c_IntDiv_OposDivAlg'(
% 1.20/1.61 'c_Pair'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.20/1.61 'tc_IntDef_Oint' ) ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.20/1.61 [ ~( 'c_Divides_Oop_Advd'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ]
% 1.20/1.61 ,
% 1.20/1.61 [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ),
% 1.20/1.61 'c_Divides_Oop_Advd'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint' ) ],
% 1.20/1.61 [ =( 'c_div'( 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' ), Y,
% 1.20/1.61 'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.20/1.61 [ =( 'c_Divides_Oop_Amod'( 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint'
% 1.20/1.61 ), Y, 'tc_IntDef_Oint' ), 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' )
% 1.20/1.61 ) ],
% 1.20/1.61 [ ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_0',
% 1.20/1.61 'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_Numeral_Onumber__of'( Y,
% 1.20/1.61 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'(
% 1.20/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.20/1.61 Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_snd'( 'c_IntDiv_OnegateSnd'(
% 1.20/1.61 'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_uminus'( 'c_Numeral_Onumber__of'( X,
% 1.20/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_uminus'(
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint',
% 1.20/1.61 'tc_IntDef_Oint' ) ) ],
% 1.20/1.61 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Y,
% 1.20/1.61 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'(
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.20/1.61 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_snd'( 'c_IntDiv_OnegDivAlg'(
% 1.20/1.61 'c_Pair'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.20/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.20/1.61 'tc_IntDef_Oint' ) ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.20/1.61 [ ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_0',
% 1.20/1.61 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 'c_1',
% 1.20/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.20/1.61 'c_snd'( 'c_IntDiv_OnegateSnd'( 'c_IntDiv_OnegDivAlg'( 'c_Pair'(
% 1.20/1.61 'c_uminus'( 'c_1', 'tc_IntDef_Oint' ), 'c_uminus'(
% 1.20/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint',
% 1.20/1.61 'tc_IntDef_Oint' ) ) ],
% 1.20/1.61 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Y,
% 1.20/1.61 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'(
% 1.20/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.20/1.61 Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_snd'( 'c_IntDiv_OnegateSnd'(
% 1.20/1.61 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_uminus'( 'c_Numeral_Onumber__of'( X,
% 1.20/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_uminus'(
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint',
% 1.20/1.61 'tc_IntDef_Oint' ) ) ],
% 1.20/1.61 [ ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.20/1.61 ), 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 'c_1',
% 1.20/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.20/1.61 'c_snd'( 'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_1', 'c_Numeral_Onumber__of'(
% 1.20/1.61 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ),
% 1.20/1.61 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.20/1.61 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'(
% 1.20/1.61 Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'(
% 1.20/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.20/1.61 Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_snd'( 'c_IntDiv_OposDivAlg'(
% 1.20/1.61 'c_Pair'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.20/1.61 'tc_IntDef_Oint' ) ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.20/1.61 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_0', 'c_plus'( 'c_1',
% 1.20/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint' ) ), =( 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_1',
% 1.20/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.20/1.61 'tc_IntDef_Oint' ) ), 'c_Pair'( 'c_Numeral_Onumber__of'( 'c_Numeral_OMin'
% 1.20/1.61 , 'tc_IntDef_Oint' ), 'c_plus'( 'c_1', 'c_Numeral_Onumber__of'( X,
% 1.20/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.20/1.61 'tc_IntDef_Oint' ) ) ],
% 1.20/1.61 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint' ) ), 'c_lessequals'( 'c_0', 'c_plus'( 'c_1',
% 1.20/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint' ), =( 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_1',
% 1.20/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.20/1.61 'tc_IntDef_Oint' ) ), 'c_IntDiv_Oadjust'( 'c_Numeral_Onumber__of'( X,
% 1.20/1.61 'tc_IntDef_Oint' ), 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_1', 'c_times'(
% 1.20/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.20/1.61 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.20/1.61 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ) ) ],
% 1.20/1.61 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_0', 'c_plus'(
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.20/1.61 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =(
% 1.20/1.61 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_Numeral_Onumber__of'( Y,
% 1.20/1.61 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_Pair'( 'c_Numeral_Onumber__of'(
% 1.20/1.61 'c_Numeral_OMin', 'tc_IntDef_Oint' ), 'c_plus'( 'c_Numeral_Onumber__of'(
% 1.20/1.61 Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.20/1.61 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint' ) ), 'c_lessequals'( 'c_0', 'c_plus'(
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.20/1.61 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =(
% 1.20/1.61 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_Numeral_Onumber__of'( Y,
% 1.20/1.61 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_IntDiv_Oadjust'(
% 1.20/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_IntDiv_OnegDivAlg'(
% 1.20/1.61 'c_Pair'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_times'(
% 1.20/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.20/1.61 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.20/1.61 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ) ) ],
% 1.20/1.61 [ =( 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_Numeral_Onumber__of'(
% 1.20/1.61 'c_Numeral_OMin', 'tc_IntDef_Oint' ), X, 'tc_IntDef_Oint',
% 1.20/1.61 'tc_IntDef_Oint' ) ), 'c_Pair'( 'c_Numeral_Onumber__of'( 'c_Numeral_OMin'
% 1.20/1.61 , 'tc_IntDef_Oint' ), 'c_minus'( X, 'c_1', 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.20/1.61 [ ~( 'c_less'( X, 'c_0', 'tc_IntDef_Oint' ) ), 'c_less'( X,
% 1.20/1.61 'c_Divides_Oop_Amod'( Y, X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.20/1.61 [ ~( 'c_less'( X, 'c_0', 'tc_IntDef_Oint' ) ), 'c_lessequals'(
% 1.20/1.61 'c_Divides_Oop_Amod'( Y, X, 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' )
% 1.20/1.61 ],
% 1.20/1.61 [ =( 'c_IntDiv_OnegateSnd'( 'c_Pair'( X, Y, 'tc_IntDef_Oint',
% 1.20/1.61 'tc_IntDef_Oint' ) ), 'c_Pair'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.20/1.61 [ =( 'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_0', X, 'tc_IntDef_Oint',
% 1.20/1.61 'tc_IntDef_Oint' ) ), 'c_Pair'( 'c_0', 'c_0', 'tc_IntDef_Oint',
% 1.20/1.61 'tc_IntDef_Oint' ) ) ],
% 1.20/1.61 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_1', 'c_Numeral_Onumber__of'( X,
% 1.20/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_IntDiv_OposDivAlg'(
% 1.20/1.61 'c_Pair'( 'c_1', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_Pair'( 'c_0', 'c_1',
% 1.20/1.61 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.20/1.61 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint' ) ), 'c_less'( 'c_1', 'c_Numeral_Onumber__of'( X,
% 1.20/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_IntDiv_OposDivAlg'(
% 1.20/1.61 'c_Pair'( 'c_1', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_IntDiv_Oadjust'(
% 1.20/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_IntDiv_OposDivAlg'(
% 1.20/1.61 'c_Pair'( 'c_1', 'c_times'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.20/1.61 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.20/1.61 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X,
% 1.20/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.20/1.61 'tc_IntDef_Oint' ) ) ) ) ],
% 1.20/1.61 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Y,
% 1.20/1.61 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint' ) ), =( 'c_IntDiv_OposDivAlg'( 'c_Pair'(
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.20/1.61 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_Pair'(
% 1.20/1.61 'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.20/1.61 'tc_IntDef_Oint' ) ) ],
% 1.20/1.61 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint' ) ), 'c_less'( 'c_Numeral_Onumber__of'( Y,
% 1.20/1.61 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint' ), =( 'c_IntDiv_OposDivAlg'( 'c_Pair'(
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.20/1.61 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ),
% 1.20/1.61 'c_IntDiv_Oadjust'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.20/1.61 'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_Numeral_Onumber__of'( Y,
% 1.20/1.61 'tc_IntDef_Oint' ), 'c_times'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.20/1.61 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.20/1.61 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X,
% 1.20/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.20/1.61 'tc_IntDef_Oint' ) ) ) ) ],
% 1.20/1.61 [ ~( 'c_less'( 'c_0', X, 'tc_IntDef_Oint' ) ), 'c_less'(
% 1.20/1.61 'c_Divides_Oop_Amod'( Y, X, 'tc_IntDef_Oint' ), X, 'tc_IntDef_Oint' ) ]
% 1.20/1.61 ,
% 1.20/1.61 [ ~( 'c_less'( 'c_0', X, 'tc_IntDef_Oint' ) ), 'c_lessequals'( 'c_0',
% 1.20/1.61 'c_Divides_Oop_Amod'( Y, X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.20/1.61 [ =( 'c_Nat_Opower'( X, 'c_0', 'tc_IntDef_Oint' ), 'c_1' ) ],
% 1.20/1.61 [ =( 'c_Nat_Opower'( X, 'c_Suc'( Y ), 'tc_IntDef_Oint' ), 'c_times'( X,
% 1.20/1.61 'c_Nat_Opower'( X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ],
% 1.20/1.61 [ =( 'c_div'( X, 'c_1', 'tc_IntDef_Oint' ), X ) ],
% 1.20/1.61 [ =( 'c_div'( X, 'c_Numeral_Onumber__of'( 'c_Numeral_OMin',
% 1.20/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_uminus'( X, 'tc_IntDef_Oint' )
% 1.20/1.61 ) ],
% 1.20/1.61 [ =( 'c_div'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( X,
% 1.20/1.61 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.20/1.61 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint' ), 'c_div'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.20/1.61 ), 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) )
% 1.20/1.61 ],
% 1.20/1.61 [ ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.20/1.61 ), 'tc_IntDef_Oint' ) ), =( 'c_div'( 'c_Numeral_Onumber__of'(
% 1.20/1.61 'c_Numeral_OBit'( Y, Z ), 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.20/1.61 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint' ), 'c_div'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint'
% 1.20/1.61 ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) )
% 1.20/1.61 ],
% 1.20/1.61 [ 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.20/1.61 , 'tc_IntDef_Oint' ), =( Y, 'c_Numeral_Obit_OB0' ), =( 'c_div'(
% 1.20/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Z, Y ), 'tc_IntDef_Oint' ),
% 1.20/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' ),
% 1.20/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_div'( 'c_plus'(
% 1.20/1.61 'c_Numeral_Onumber__of'( Z, 'tc_IntDef_Oint' ), 'c_1', 'tc_IntDef_Oint' )
% 1.20/1.61 , 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ]
% 1.20/1.61 ,
% 1.20/1.61 [ =( X, 'c_0' ), =( 'c_div'( X, X, 'tc_IntDef_Oint' ), 'c_1' ) ],
% 1.20/1.61 [ =( X, 'c_0' ), =( 'c_div'( 'c_plus'( X, Y, 'tc_IntDef_Oint' ), X,
% 1.20/1.61 'tc_IntDef_Oint' ), 'c_plus'( 'c_div'( Y, X, 'tc_IntDef_Oint' ), 'c_1',
% 1.20/1.61 'tc_IntDef_Oint' ) ) ],
% 1.20/1.61 [ =( X, 'c_0' ), =( 'c_div'( 'c_plus'( Y, X, 'tc_IntDef_Oint' ), X,
% 1.20/1.61 'tc_IntDef_Oint' ), 'c_plus'( 'c_div'( Y, X, 'tc_IntDef_Oint' ), 'c_1',
% 1.20/1.61 'tc_IntDef_Oint' ) ) ],
% 1.20/1.61 [ =( 'c_div'( 'c_0', X, 'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.20/1.61 [ =( 'c_div'( 'c_uminus'( X, 'tc_IntDef_Oint' ), 'c_uminus'( Y,
% 1.20/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_div'( X, Y, 'tc_IntDef_Oint' )
% 1.20/1.61 ) ],
% 1.20/1.61 [ =( X, 'c_0' ), =( 'c_div'( 'c_times'( Y, X, 'tc_IntDef_Oint' ), X,
% 1.20/1.61 'tc_IntDef_Oint' ), Y ) ],
% 1.20/1.61 [ =( X, 'c_0' ), =( 'c_div'( 'c_times'( X, Y, 'tc_IntDef_Oint' ), X,
% 1.20/1.61 'tc_IntDef_Oint' ), Y ) ],
% 1.20/1.61 [ ~( 'c_Divides_Oop_Advd'( 'c_0', X, 'tc_IntDef_Oint' ) ), =( X, 'c_0' )
% 1.20/1.61 ],
% 1.20/1.61 [ 'c_Divides_Oop_Advd'( 'c_0', 'c_0', 'tc_IntDef_Oint' ) ],
% 1.20/1.61 [ ~( 'c_Divides_Oop_Advd'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.20/1.61 ), 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) )
% 1.20/1.61 , =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' )
% 1.20/1.61 , 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.20/1.61 'c_0' ) ],
% 1.20/1.61 [ ~( =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X,
% 1.20/1.61 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint' ), 'c_0' ) ), 'c_Divides_Oop_Advd'(
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.20/1.61 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.20/1.61 [ 'c_Divides_Oop_Advd'( X, X, 'tc_IntDef_Oint' ) ],
% 1.20/1.61 [ 'c_lessequals'( 'c_0', 'c_Nat_Opower'( 'c_HOL_Oabs'( X,
% 1.20/1.61 'tc_IntDef_Oint' ), Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.20/1.61 [ ~( 'c_less'( 'c_0', 'c_Nat_Opower'( 'c_HOL_Oabs'( 'c_0',
% 1.20/1.61 'tc_IntDef_Oint' ), X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( X,
% 1.20/1.61 'c_0' ) ],
% 1.20/1.61 [ 'c_less'( 'c_0', 'c_Nat_Opower'( 'c_HOL_Oabs'( X, 'tc_IntDef_Oint' ),
% 1.20/1.61 Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( X, 'c_0' ) ],
% 1.20/1.61 [ 'c_less'( 'c_0', 'c_Nat_Opower'( 'c_HOL_Oabs'( X, 'tc_IntDef_Oint' ),
% 1.20/1.61 'c_0', 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.20/1.61 [ ~( 'c_Divides_Oop_Advd'( 'c_uminus'( X, 'tc_IntDef_Oint' ), Y,
% 1.20/1.61 'tc_IntDef_Oint' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ]
% 1.20/1.61 ,
% 1.20/1.61 [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ),
% 1.20/1.61 'c_Divides_Oop_Advd'( 'c_uminus'( X, 'tc_IntDef_Oint' ), Y,
% 1.20/1.61 'tc_IntDef_Oint' ) ],
% 1.20/1.61 [ =( 'c_Divides_Oop_Amod'( X, 'c_1', 'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.20/1.61 [ =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'( 'c_Numeral_OMin'
% 1.20/1.61 , 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.20/1.61 [ =( 'c_Divides_Oop_Amod'( X, X, 'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.20/1.61 [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, Y, 'tc_IntDef_Oint' ), X,
% 1.20/1.61 'tc_IntDef_Oint' ), 'c_Divides_Oop_Amod'( Y, X, 'tc_IntDef_Oint' ) ) ]
% 1.20/1.61 ,
% 1.20/1.61 [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, Y, 'tc_IntDef_Oint' ), Y,
% 1.20/1.61 'tc_IntDef_Oint' ), 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' ) ) ]
% 1.20/1.61 ,
% 1.20/1.61 [ =( 'c_Divides_Oop_Amod'( 'c_0', X, 'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.20/1.61 [ =( 'c_Divides_Oop_Amod'( 'c_uminus'( X, 'tc_IntDef_Oint' ), 'c_uminus'(
% 1.20/1.61 Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_uminus'(
% 1.20/1.61 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ]
% 1.20/1.61 ,
% 1.20/1.61 [ =( 'c_Divides_Oop_Amod'( 'c_times'( X, Y, 'tc_IntDef_Oint' ), Y,
% 1.20/1.61 'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.20/1.61 [ =( 'c_Divides_Oop_Amod'( 'c_times'( X, Y, 'tc_IntDef_Oint' ), X,
% 1.20/1.61 'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.20/1.61 [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ), =( 'c_LOrder_Ojoin'( Y, Y
% 1.20/1.61 , X ), Y ) ],
% 1.20/1.61 [ ~( 'class_LOrder_Omeet__semilorder'( X ) ), =( 'c_LOrder_Omeet'( Y, Y
% 1.20/1.61 , X ), Y ) ],
% 1.20/1.61 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.20/1.61 'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.20/1.61 ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.20/1.61 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( X, T, Z, Z ), W, 'tc_prod'(
% 1.20/1.61 Z, Z ) ), =( X, T ) ],
% 1.20/1.61 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.20/1.61 'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.20/1.61 ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.20/1.61 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( X, T, Z, Z ), W, 'tc_prod'(
% 1.20/1.61 Z, Z ) ), 'c_in'( 'c_Pair'( Y, U, 'tc_List_Olist'( Z ), 'tc_List_Olist'(
% 1.20/1.61 Z ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.20/1.61 'tc_List_Olist'( Z ) ) ) ],
% 1.20/1.61 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.20/1.61 'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.20/1.61 ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.20/1.61 'tc_List_Olist'( Z ) ) ) ), =( X, T ), =( 'c_Nat_Osize'( Y,
% 1.20/1.61 'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( U, 'tc_List_Olist'( Z ) ) ) ],
% 1.20/1.61 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.20/1.61 'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.20/1.61 ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.20/1.61 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( Y, U, 'tc_List_Olist'( Z )
% 1.20/1.61 , 'tc_List_Olist'( Z ) ), 'c_List_Olex'( W, Z ), 'tc_prod'(
% 1.20/1.61 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ), =( 'c_Nat_Osize'( Y,
% 1.20/1.61 'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( U, 'tc_List_Olist'( Z ) ) ) ],
% 1.20/1.61 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( =(
% 1.20/1.61 'c_Nat_Osize'( U, 'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( W,
% 1.20/1.61 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, U
% 1.20/1.61 , Z ), 'c_List_Olist_OCons'( Y, W, Z ), 'tc_List_Olist'( Z ),
% 1.20/1.61 'tc_List_Olist'( Z ) ), 'c_List_Olex'( T, Z ), 'tc_prod'( 'tc_List_Olist'(
% 1.20/1.61 Z ), 'tc_List_Olist'( Z ) ) ) ],
% 1.20/1.61 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z )
% 1.20/1.61 ), 'c_List_Olex'( T, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.20/1.61 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( U, X
% 1.20/1.61 , Z ), 'c_List_Olist_OCons'( U, Y, Z ), 'tc_List_Olist'( Z ),
% 1.20/1.61 'tc_List_Olist'( Z ) ), 'c_List_Olex'( T, Z ), 'tc_prod'( 'tc_List_Olist'(
% 1.20/1.61 Z ), 'tc_List_Olist'( Z ) ) ) ],
% 1.20/1.61 [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil', 'tc_List_Olist'( Y ),
% 1.20/1.61 'tc_List_Olist'( Y ) ), 'c_List_Olex'( Z, Y ), 'tc_prod'( 'tc_List_Olist'(
% 1.20/1.61 Y ), 'tc_List_Olist'( Y ) ) ) ) ],
% 1.20/1.61 [ ~( 'c_in'( X, 'c_List_Oset'( Y, 'tc_List_Olist'( Z ) ),
% 1.20/1.61 'tc_List_Olist'( Z ) ) ), ~( =( 'c_List_Olist_ONil', 'c_List_Oconcat'( Y
% 1.20/1.61 , Z ) ) ), =( X, 'c_List_Olist_ONil' ) ],
% 1.20/1.61 [ 'c_in'( 'c_Main_ONil__eq__concat__conv__1'( X, Y ), 'c_List_Oset'( X,
% 1.20/1.61 'tc_List_Olist'( Y ) ), 'tc_List_Olist'( Y ) ), =( 'c_List_Olist_ONil',
% 1.20/1.61 'c_List_Oconcat'( X, Y ) ) ],
% 1.20/1.61 [ ~( =( 'c_Main_ONil__eq__concat__conv__1'( X, Y ), 'c_List_Olist_ONil'
% 1.20/1.61 ) ), =( 'c_List_Olist_ONil', 'c_List_Oconcat'( X, Y ) ) ],
% 1.20/1.61 [ ~( =( 'c_List_Olist_ONil', 'c_append'( X, Y, Z ) ) ), =( X,
% 1.20/1.61 'c_List_Olist_ONil' ) ],
% 1.20/1.61 [ ~( =( 'c_List_Olist_ONil', 'c_append'( X, Y, Z ) ) ), =( Y,
% 1.20/1.61 'c_List_Olist_ONil' ) ],
% 1.20/1.61 [ =( 'c_List_Olist_ONil', 'c_append'( 'c_List_Olist_ONil',
% 1.20/1.61 'c_List_Olist_ONil', X ) ) ],
% 1.20/1.61 [ ~( =( 'c_List_Olist_ONil', 'c_List_Orev'( X, Y ) ) ), =( X,
% 1.20/1.61 'c_List_Olist_ONil' ) ],
% 1.20/1.61 [ =( 'c_List_Olist_ONil', 'c_List_Orev'( 'c_List_Olist_ONil', X ) ) ]
% 1.20/1.61 ,
% 1.20/1.61 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X, 'tc_List_Olist'( Y ),
% 1.20/1.61 'tc_List_Olist'( Y ) ), 'c_List_Olex'( Z, Y ), 'tc_prod'( 'tc_List_Olist'(
% 1.20/1.61 Y ), 'tc_List_Olist'( Y ) ) ) ) ],
% 1.20/1.61 [ ~( =( 'c_append'( X, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z )
% 1.20/1.61 , Z ), 'c_append'( T, 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil', Z ),
% 1.20/1.61 Z ) ) ), =( X, T ) ],
% 1.20/1.61 [ ~( =( 'c_append'( X, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z )
% 1.20/1.61 , Z ), 'c_append'( T, 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil', Z ),
% 1.20/1.61 Z ) ) ), =( Y, U ) ],
% 1.20/1.61 [ =( 'c_append'( 'c_append'( X, Y, Z ), T, Z ), 'c_append'( X,
% 1.20/1.61 'c_append'( Y, T, Z ), Z ) ) ],
% 1.20/1.61 [ =( X, 'c_List_Olist_ONil' ), =( 'c_append'( 'c_List_Obutlast'( X, Y )
% 1.20/1.61 , 'c_List_Olist_OCons'( 'c_List_Olast'( X, Y ), 'c_List_Olist_ONil', Y )
% 1.20/1.61 , Y ), X ) ],
% 1.20/1.61 [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( Z,
% 1.20/1.61 'tc_List_Olist'( Y ) ) ) ), ~( =( 'c_append'( X, T, Y ), 'c_append'( Z, U
% 1.20/1.61 , Y ) ) ), =( X, Z ) ],
% 1.20/1.61 [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( Z,
% 1.20/1.61 'tc_List_Olist'( Y ) ) ) ), ~( =( 'c_append'( X, T, Y ), 'c_append'( Z, U
% 1.20/1.61 , Y ) ) ), =( T, U ) ],
% 1.20/1.61 [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( Z,
% 1.20/1.61 'tc_List_Olist'( Y ) ) ) ), ~( =( 'c_append'( T, X, Y ), 'c_append'( U, Z
% 1.20/1.61 , Y ) ) ), =( T, U ) ],
% 1.20/1.61 [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( Z,
% 1.20/1.61 'tc_List_Olist'( Y ) ) ) ), ~( =( 'c_append'( T, X, Y ), 'c_append'( U, Z
% 1.20/1.61 , Y ) ) ), =( X, Z ) ],
% 1.20/1.61 [ ~( 'c_in'( 'c_append'( X, Y, Z ), 'c_List_Olists'( T, Z ),
% 1.20/1.61 'tc_List_Olist'( Z ) ) ), 'c_in'( X, 'c_List_Olists'( T, Z ),
% 1.20/1.61 'tc_List_Olist'( Z ) ) ],
% 1.20/1.61 [ ~( 'c_in'( 'c_append'( X, Y, Z ), 'c_List_Olists'( T, Z ),
% 1.20/1.61 'tc_List_Olist'( Z ) ) ), 'c_in'( Y, 'c_List_Olists'( T, Z ),
% 1.20/1.61 'tc_List_Olist'( Z ) ) ],
% 1.20/1.61 [ ~( 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ), ~(
% 1.20/1.61 'c_in'( T, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ), 'c_in'(
% 1.20/1.61 'c_append'( T, X, Z ), 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ]
% 1.20/1.61 ,
% 1.20/1.61 [ ~( =( 'c_append'( X, Y, Z ), 'c_List_Olist_ONil' ) ), =( X,
% 1.20/1.61 'c_List_Olist_ONil' ) ],
% 1.20/1.61 [ ~( =( 'c_append'( X, Y, Z ), 'c_List_Olist_ONil' ) ), =( Y,
% 1.20/1.61 'c_List_Olist_ONil' ) ],
% 1.20/1.61 [ =( 'c_append'( 'c_List_Olist_ONil', 'c_List_Olist_ONil', X ),
% 1.20/1.61 'c_List_Olist_ONil' ) ],
% 1.20/1.61 [ ~( =( 'c_append'( X, Y, Z ), 'c_append'( T, Y, Z ) ) ), =( X, T ) ]
% 1.20/1.61 ,
% 1.20/1.61 [ ~( =( 'c_append'( X, Y, Z ), Y ) ), =( X, 'c_List_Olist_ONil' ) ],
% 1.20/1.61 [ =( 'c_append'( 'c_List_Olist_ONil', X, Y ), X ) ],
% 1.20/1.61 [ ~( =( 'c_append'( X, Y, Z ), X ) ), =( Y, 'c_List_Olist_ONil' ) ],
% 1.20/1.61 [ =( 'c_append'( X, 'c_List_Olist_ONil', Y ), X ) ],
% 1.20/1.61 [ =( 'c_append'( 'c_List_Otake'( X, Y, Z ), 'c_List_Odrop'( X, Y, Z ), Z
% 1.20/1.61 ), Y ) ],
% 1.20/1.61 [ =( 'c_List_Obutlast'( 'c_List_Olist_ONil', X ), 'c_List_Olist_ONil' )
% 1.20/1.61 ],
% 1.20/1.61 [ =( 'c_List_Obutlast'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y
% 1.20/1.61 ), Y ), 'c_List_Olist_ONil' ) ],
% 1.20/1.61 [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Obutlast'(
% 1.20/1.61 'c_List_Olist_OCons'( Y, X, Z ), Z ), 'c_List_Olist_OCons'( Y,
% 1.20/1.61 'c_List_Obutlast'( X, Z ), Z ) ) ],
% 1.20/1.61 [ =( 'c_List_Obutlast'( 'c_append'( X, 'c_List_Olist_OCons'( Y,
% 1.20/1.61 'c_List_Olist_ONil', Z ), Z ), Z ), X ) ],
% 1.20/1.61 [ ~( =( 'c_List_Ochar_OChar'( X, Y ), 'c_List_Ochar_OChar'( Z, T ) ) ),
% 1.20/1.61 =( X, Z ) ],
% 1.20/1.61 [ ~( =( 'c_List_Ochar_OChar'( X, Y ), 'c_List_Ochar_OChar'( Z, T ) ) ),
% 1.20/1.61 =( Y, T ) ],
% 1.20/1.61 [ =( 'c_Nat_Osize'( 'c_List_Ochar_OChar'( X, Y ), 'tc_List_Ochar' ),
% 1.20/1.61 'c_0' ) ],
% 1.20/1.61 [ =( 'c_List_Oconcat'( 'c_List_Olist_ONil', X ), 'c_List_Olist_ONil' ) ]
% 1.20/1.61 ,
% 1.20/1.61 [ =( 'c_List_Oconcat'( 'c_List_Olist_OCons'( X, Y, 'tc_List_Olist'( Z )
% 1.20/1.61 ), Z ), 'c_append'( X, 'c_List_Oconcat'( Y, Z ), Z ) ) ],
% 1.20/1.61 [ =( 'c_List_Oconcat'( 'c_append'( X, Y, 'tc_List_Olist'( Z ) ), Z ),
% 1.20/1.61 'c_append'( 'c_List_Oconcat'( X, Z ), 'c_List_Oconcat'( Y, Z ), Z ) ) ]
% 1.20/1.61 ,
% 1.20/1.61 [ ~( 'c_in'( X, 'c_List_Oset'( Y, 'tc_List_Olist'( Z ) ),
% 1.20/1.61 'tc_List_Olist'( Z ) ) ), ~( =( 'c_List_Oconcat'( Y, Z ),
% 1.20/1.61 'c_List_Olist_ONil' ) ), =( X, 'c_List_Olist_ONil' ) ],
% 1.20/1.61 [ 'c_in'( 'c_Main_Oconcat__eq__Nil__conv__1'( X, Y ), 'c_List_Oset'( X,
% 1.20/1.61 'tc_List_Olist'( Y ) ), 'tc_List_Olist'( Y ) ), =( 'c_List_Oconcat'( X, Y
% 1.20/1.61 ), 'c_List_Olist_ONil' ) ],
% 1.20/1.61 [ ~( =( 'c_Main_Oconcat__eq__Nil__conv__1'( X, Y ), 'c_List_Olist_ONil'
% 1.20/1.61 ) ), =( 'c_List_Oconcat'( X, Y ), 'c_List_Olist_ONil' ) ],
% 1.20/1.61 [ ~( 'c_List_Odistinct'( 'c_List_Orotate1'( X, Y ), Y ) ),
% 1.20/1.61 'c_List_Odistinct'( X, Y ) ],
% 1.20/1.61 [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 'c_List_Orotate1'(
% 1.20/1.61 X, Y ), Y ) ],
% 1.20/1.61 [ 'c_List_Odistinct'( 'c_List_Olist_ONil', X ) ],
% 1.20/1.61 [ ~( 'c_List_Odistinct'( 'c_List_Olist_OCons'( X, Y, Z ), Z ) ), ~(
% 1.20/1.61 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ) ) ],
% 1.20/1.61 [ ~( 'c_List_Odistinct'( 'c_List_Olist_OCons'( X, Y, Z ), Z ) ),
% 1.20/1.61 'c_List_Odistinct'( Y, Z ) ],
% 1.20/1.61 [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'(
% 1.20/1.61 'c_List_Olist_OCons'( Z, X, Y ), Y ), 'c_in'( Z, 'c_List_Oset'( X, Y ), Y
% 1.20/1.61 ) ],
% 1.20/1.61 [ ~( 'c_List_Odistinct'( 'c_append'( X, Y, Z ), Z ) ),
% 1.20/1.61 'c_List_Odistinct'( X, Z ) ],
% 1.20/1.61 [ ~( 'c_List_Odistinct'( 'c_append'( X, Y, Z ), Z ) ),
% 1.20/1.61 'c_List_Odistinct'( Y, Z ) ],
% 1.20/1.61 [ ~( 'c_List_Odistinct'( 'c_append'( X, Y, Z ), Z ) ), =( 'c_inter'(
% 1.20/1.61 'c_List_Oset'( X, Z ), 'c_List_Oset'( Y, Z ), Z ), 'c_emptyset' ) ],
% 1.20/1.61 [ ~( 'c_List_Odistinct'( X, Y ) ), ~( 'c_List_Odistinct'( Z, Y ) ), ~(
% 1.20/1.61 =( 'c_inter'( 'c_List_Oset'( Z, Y ), 'c_List_Oset'( X, Y ), Y ),
% 1.20/1.61 'c_emptyset' ) ), 'c_List_Odistinct'( 'c_append'( Z, X, Y ), Y ) ],
% 1.20/1.61 [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 'c_List_Odrop'( Z
% 1.20/1.61 , X, Y ), Y ) ],
% 1.20/1.61 [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 'c_List_Oremove1'(
% 1.20/1.61 Z, X, Y ), Y ) ],
% 1.20/1.61 [ ~( 'c_List_Odistinct'( 'c_List_Orev'( X, Y ), Y ) ),
% 1.20/1.61 'c_List_Odistinct'( X, Y ) ],
% 1.20/1.61 [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 'c_List_Orev'( X
% 1.20/1.61 , Y ), Y ) ],
% 1.20/1.61 [ ~( 'c_List_Odistinct'( 'c_List_Orotate'( X, Y, Z ), Z ) ),
% 1.20/1.61 'c_List_Odistinct'( Y, Z ) ],
% 1.20/1.61 [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 'c_List_Orotate'(
% 1.20/1.61 Z, X, Y ), Y ) ],
% 1.20/1.61 [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 'c_List_Osublist'(
% 1.20/1.61 X, Z, Y ), Y ) ],
% 1.20/1.61 [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 'c_List_Otake'( Z
% 1.20/1.61 , X, Y ), Y ) ],
% 1.20/1.61 [ 'c_List_Odistinct'( 'c_List_Oupt'( X, Y ), 'tc_nat' ) ],
% 1.20/1.61 [ =( 'c_List_Odrop'( X, 'c_List_Olist_ONil', Y ), 'c_List_Olist_ONil' )
% 1.20/1.61 ],
% 1.20/1.61 [ =( 'c_List_Odrop'( 'c_0', X, Y ), X ) ],
% 1.20/1.61 [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ), =(
% 1.20/1.61 'c_List_Odrop'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.20/1.61 'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_List_Olist_OCons'( Y, Z, T ) ) ]
% 1.20/1.61 ,
% 1.20/1.61 [ =( 'c_List_Odrop'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.20/1.61 'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_List_Odrop'( 'c_minus'(
% 1.20/1.61 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_1', 'tc_nat' ), Z, T ) ), =(
% 1.20/1.61 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ],
% 1.20/1.61 [ =( 'c_List_Odrop'( 'c_Suc'( X ), 'c_List_Olist_OCons'( Y, Z, T ), T )
% 1.20/1.61 , 'c_List_Odrop'( X, Z, T ) ) ],
% 1.20/1.61 [ =( 'c_List_Odrop'( X, 'c_append'( Y, Z, T ), T ), 'c_append'(
% 1.20/1.61 'c_List_Odrop'( X, Y, T ), 'c_List_Odrop'( 'c_minus'( X, 'c_Nat_Osize'( Y
% 1.20/1.61 , 'tc_List_Olist'( T ) ), 'tc_nat' ), Z, T ), T ) ) ],
% 1.20/1.61 [ =( 'c_List_Odrop'( X, 'c_List_Odrop'( Y, Z, T ), T ), 'c_List_Odrop'(
% 1.20/1.61 'c_plus'( X, Y, 'tc_nat' ), Z, T ) ) ],
% 1.20/1.61 [ ~( =( 'c_List_Odrop'( X, Y, Z ), 'c_List_Olist_ONil' ) ),
% 1.20/1.61 'c_lessequals'( 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), X, 'tc_nat' ) ]
% 1.20/1.61 ,
% 1.20/1.61 [ ~( 'c_lessequals'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), Z,
% 1.20/1.61 'tc_nat' ) ), =( 'c_List_Odrop'( Z, X, Y ), 'c_List_Olist_ONil' ) ],
% 1.20/1.61 [ =( 'c_List_Odrop'( X, 'c_List_Oreplicate'( Y, Z, T ), T ),
% 1.20/1.61 'c_List_Oreplicate'( 'c_minus'( Y, X, 'tc_nat' ), Z, T ) ) ],
% 1.20/1.61 [ =( 'c_List_Odrop'( X, 'c_List_Oupt'( Y, Z ), 'tc_nat' ), 'c_List_Oupt'(
% 1.20/1.61 'c_plus'( Y, X, 'tc_nat' ), Z ) ) ],
% 1.20/1.61 [ =( 'c_List_Ohd'( 'c_List_Olist_OCons'( X, Y, Z ), Z ), X ) ],
% 1.20/1.61 [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Olist_OCons'( 'c_List_Ohd'( X
% 1.20/1.61 , Y ), 'c_List_Otl'( X, Y ), Y ), X ) ],
% 1.20/1.61 [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Ohd'( 'c_append'( X, Y, Z ), Z
% 1.20/1.61 ), 'c_List_Ohd'( X, Z ) ) ],
% 1.20/1.61 [ 'c_in'( 'c_List_Ohd'( X, Y ), 'c_List_Oset'( X, Y ), Y ), =( X,
% 1.20/1.61 'c_List_Olist_ONil' ) ],
% 1.20/1.61 [ =( X, 'c_0' ), =( 'c_List_Ohd'( 'c_List_Oreplicate'( X, Y, Z ), Z ), Y
% 1.20/1.61 ) ],
% 1.20/1.61 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_List_Ohd'( 'c_List_Oupt'( X, Y
% 1.20/1.61 ), 'tc_nat' ), X ) ],
% 1.20/1.61 [ =( 'c_List_Oitrev'( X, Y, Z ), 'c_append'( 'c_List_Orev'( X, Z ), Y, Z
% 1.20/1.61 ) ) ],
% 1.20/1.61 [ =( 'c_List_Oitrev'( 'c_List_Olist_ONil', X, Y ), X ) ],
% 1.20/1.61 [ =( 'c_List_Oitrev'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ),
% 1.20/1.61 'c_List_Oitrev'( Y, 'c_List_Olist_OCons'( X, T, Z ), Z ) ) ],
% 1.20/1.61 [ =( 'c_List_Olast'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ),
% 1.20/1.61 Y ), X ) ],
% 1.20/1.61 [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Olast'( 'c_List_Olist_OCons'(
% 1.20/1.61 Y, X, Z ), Z ), 'c_List_Olast'( X, Z ) ) ],
% 1.20/1.61 [ =( 'c_List_Olast'( 'c_append'( X, 'c_List_Olist_ONil', Y ), Y ),
% 1.20/1.61 'c_List_Olast'( X, Y ) ) ],
% 1.20/1.61 [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Olast'( 'c_append'( Y, X, Z )
% 1.20/1.61 , Z ), 'c_List_Olast'( X, Z ) ) ],
% 1.20/1.61 [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) )
% 1.20/1.61 , =( 'c_List_Olast'( 'c_List_Odrop'( X, Y, Z ), Z ), 'c_List_Olast'( Y, Z
% 1.20/1.61 ) ) ],
% 1.20/1.61 [ 'c_in'( 'c_List_Olast'( X, Y ), 'c_List_Oset'( X, Y ), Y ), =( X,
% 1.20/1.61 'c_List_Olist_ONil' ) ],
% 1.20/1.61 [ =( X, 'c_0' ), =( 'c_List_Olast'( 'c_List_Oreplicate'( X, Y, Z ), Z )
% 1.20/1.61 , Y ) ],
% 1.20/1.61 [ =( 'c_List_Olast'( 'c_append'( X, 'c_List_Olist_OCons'( Y,
% 1.20/1.61 'c_List_Olist_ONil', Z ), Z ), Z ), Y ) ],
% 1.20/1.61 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_List_Olast'( 'c_List_Oupt'( X,
% 1.20/1.61 Y ), 'tc_nat' ), 'c_minus'( Y, 'c_1', 'tc_nat' ) ) ],
% 1.20/1.61 [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_0' ) ), =( X,
% 1.20/1.61 'c_List_Olist_ONil' ) ],
% 1.20/1.61 [ =( 'c_Nat_Osize'( 'c_List_Olist_ONil', 'tc_List_Olist'( X ) ), 'c_0' )
% 1.20/1.61 ],
% 1.20/1.61 [ =( 'c_Nat_Osize'( 'c_append'( X, Y, Z ), 'tc_List_Olist'( Z ) ),
% 1.20/1.61 'c_plus'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( Y,
% 1.20/1.61 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ],
% 1.20/1.61 [ =( 'c_Nat_Osize'( 'c_List_Obutlast'( X, Y ), 'tc_List_Olist'( Y ) ),
% 1.20/1.61 'c_minus'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_1', 'tc_nat' ) )
% 1.20/1.61 ],
% 1.20/1.61 [ =( 'c_Nat_Osize'( 'c_List_Odrop'( X, Y, Z ), 'tc_List_Olist'( Z ) ),
% 1.20/1.61 'c_minus'( 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), X, 'tc_nat' ) ) ]
% 1.20/1.61 ,
% 1.20/1.61 [ ~( 'c_less'( 'c_0', 'c_Nat_Osize'( 'c_List_Olist_ONil',
% 1.20/1.61 'tc_List_Olist'( X ) ), 'tc_nat' ) ) ],
% 1.20/1.61 [ 'c_less'( 'c_0', 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'tc_nat' )
% 1.20/1.61 , =( X, 'c_List_Olist_ONil' ) ],
% 1.20/1.61 [ =( 'c_Nat_Osize'( 'c_List_Olist__update'( X, Y, Z, T ),
% 1.20/1.61 'tc_List_Olist'( T ) ), 'c_Nat_Osize'( X, 'tc_List_Olist'( T ) ) ) ],
% 1.20/1.61 [ ~( =( 'c_Nat_Osize'( 'c_List_Oremdups'( X, Y ), 'tc_List_Olist'( Y ) )
% 1.20/1.61 , 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ) ) ), =( 'c_List_Oremdups'( X,
% 1.20/1.61 Y ), X ) ],
% 1.20/1.61 [ ~( =( 'c_List_Oremdups'( X, Y ), X ) ), =( 'c_Nat_Osize'(
% 1.20/1.61 'c_List_Oremdups'( X, Y ), 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X,
% 1.20/1.61 'tc_List_Olist'( Y ) ) ) ],
% 1.20/1.61 [ =( 'c_Nat_Osize'( 'c_List_Oreplicate'( X, Y, Z ), 'tc_List_Olist'( Z )
% 1.20/1.61 ), X ) ],
% 1.20/1.61 [ =( 'c_Nat_Osize'( 'c_List_Orev'( X, Y ), 'tc_List_Olist'( Y ) ),
% 1.20/1.61 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ) ) ],
% 1.20/1.61 [ =( 'c_Nat_Osize'( 'c_List_Orotate1'( X, Y ), 'tc_List_Olist'( Y ) ),
% 1.20/1.61 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ) ) ],
% 1.20/1.61 [ =( 'c_Nat_Osize'( 'c_List_Orotate'( X, Y, Z ), 'tc_List_Olist'( Z ) )
% 1.20/1.61 , 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ) ) ],
% 1.20/1.61 [ =( 'c_Nat_Osize'( 'c_List_Otake'( X, Y, Z ), 'tc_List_Olist'( Z ) ),
% 1.20/1.61 'c_Orderings_Omin'( 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), X, 'tc_nat'
% 1.20/1.61 ) ) ],
% 1.20/1.61 [ =( 'c_Nat_Osize'( 'c_List_Otl'( X, Y ), 'tc_List_Olist'( Y ) ),
% 1.20/1.61 'c_minus'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_1', 'tc_nat' ) )
% 1.20/1.61 ],
% 1.20/1.61 [ =( 'c_Nat_Osize'( 'c_List_Oupt'( X, Y ), 'tc_List_Olist'( 'tc_nat' ) )
% 1.20/1.61 , 'c_minus'( Y, X, 'tc_nat' ) ) ],
% 1.20/1.61 [ =( 'c_Nat_Osize'( 'c_List_Ozip'( X, Y, Z, T ), 'tc_List_Olist'(
% 1.20/1.61 'tc_prod'( Z, T ) ) ), 'c_Orderings_Omin'( 'c_Nat_Osize'( X,
% 1.20/1.61 'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( Y, 'tc_List_Olist'( T ) ),
% 1.20/1.61 'tc_nat' ) ) ],
% 1.20/1.61 [ =( 'c_List_Olexn'( X, 'c_0', Y ), 'c_emptyset' ) ],
% 1.20/1.61 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X, 'tc_List_Olist'( Y ),
% 1.20/1.61 'tc_List_Olist'( Y ) ), 'c_List_Olexord'( Z, Y ), 'tc_prod'(
% 1.20/1.61 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X,
% 1.20/1.61 'c_List_Olist_OCons'( 'c_Main_Olexord__Nil__left__1'( X, Y ),
% 1.20/1.61 'c_Main_Olexord__Nil__left__2'( X, Y ), Y ) ) ],
% 1.20/1.61 [ 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', 'c_List_Olist_OCons'( X, Y, Z )
% 1.20/1.61 , 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olexord'( T, Z )
% 1.20/1.61 , 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ],
% 1.20/1.61 [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil', 'tc_List_Olist'( Y ),
% 1.20/1.61 'tc_List_Olist'( Y ) ), 'c_List_Olexord'( Z, Y ), 'tc_prod'(
% 1.20/1.61 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ) ],
% 1.20/1.61 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.20/1.61 'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.20/1.61 ) ), 'c_List_Olexord'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.20/1.61 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( X, T, Z, Z ), W, 'tc_prod'(
% 1.20/1.61 Z, Z ) ), =( X, T ) ],
% 1.20/1.61 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.20/1.61 'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.20/1.61 ) ), 'c_List_Olexord'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.20/1.61 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( X, T, Z, Z ), W, 'tc_prod'(
% 1.20/1.61 Z, Z ) ), 'c_in'( 'c_Pair'( Y, U, 'tc_List_Olist'( Z ), 'tc_List_Olist'(
% 1.20/1.61 Z ) ), 'c_List_Olexord'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.20/1.61 'tc_List_Olist'( Z ) ) ) ],
% 1.20/1.61 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), 'c_in'(
% 1.20/1.61 'c_Pair'( 'c_List_Olist_OCons'( X, U, Z ), 'c_List_Olist_OCons'( Y, W, Z
% 1.20/1.61 ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olexord'( T, Z
% 1.20/1.61 ), 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ],
% 1.20/1.61 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z )
% 1.20/1.61 ), 'c_List_Olexord'( T, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.20/1.61 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( U, X
% 1.20/1.61 , Z ), 'c_List_Olist_OCons'( U, Y, Z ), 'tc_List_Olist'( Z ),
% 1.20/1.61 'tc_List_Olist'( Z ) ), 'c_List_Olexord'( T, Z ), 'tc_prod'(
% 1.20/1.61 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ],
% 1.20/1.61 [ ~( =( 'c_List_Olist_ONil', 'c_List_Olist_OCons'( X, Y, Z ) ) ) ],
% 1.20/1.61 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil' ) ) ],
% 1.20/1.61 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 1.20/1.61 ) ), =( X, T ) ],
% 1.20/1.61 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 1.20/1.61 ) ), =( Y, U ) ],
% 1.20/1.61 [ =( 'c_Nat_Osize'( 'c_List_Olist_OCons'( X, Y, Z ), 'tc_List_Olist'( Z
% 1.20/1.61 ) ), 'c_plus'( 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'c_Suc'( 'c_0'
% 1.20/1.61 ), 'tc_nat' ) ) ],
% 1.20/1.61 [ =( 'c_List_Olist__inter'( 'c_List_Olist_ONil', X, Y ),
% 1.20/1.61 'c_List_Olist_ONil' ) ],
% 1.20/1.61 [ ~( 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ) ), =( 'c_List_Olist__inter'(
% 1.20/1.61 'c_List_Olist_OCons'( X, T, Z ), Y, Z ), 'c_List_Olist_OCons'( X,
% 1.20/1.61 'c_List_Olist__inter'( T, Y, Z ), Z ) ) ],
% 1.20/1.61 [ 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ), =( 'c_List_Olist__inter'(
% 1.20/1.61 'c_List_Olist_OCons'( X, T, Z ), Y, Z ), 'c_List_Olist__inter'( T, Y, Z )
% 1.20/1.61 ) ],
% 1.20/1.61 [ =( 'c_List_Olist__update'( 'c_List_Olist_ONil', X, Y, Z ),
% 1.20/1.61 'c_List_Olist_ONil' ) ],
% 1.20/1.61 [ ~( 'c_lessequals'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), Z,
% 1.20/1.61 'tc_nat' ) ), =( 'c_List_Olist__update'( X, Z, T, Y ), X ) ],
% 1.20/1.61 [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) )
% 1.20/1.61 , =( 'c_List_Olist__update'( Y, X, 'c_List_Onth'( Y, X, Z ), Z ), Y ) ]
% 1.20/1.61 ,
% 1.20/1.61 [ =( 'c_List_Olist__update'( 'c_append'( X, 'c_List_Olist_OCons'( Y, Z,
% 1.20/1.61 T ), T ), 'c_Nat_Osize'( X, 'tc_List_Olist'( T ) ), U, T ), 'c_append'( X
% 1.20/1.61 , 'c_List_Olist_OCons'( U, Z, T ), T ) ) ],
% 1.20/1.61 [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) )
% 1.20/1.61 , =( 'c_List_Olist__update'( 'c_List_Olist__update'( Y, X, T, Z ), X, U,
% 1.20/1.61 Z ), 'c_List_Olist__update'( Y, X, U, Z ) ) ],
% 1.20/1.61 [ =( 'c_Relation_OImage'( 'c_List_Olistrel'( X, Y ), 'c_insert'(
% 1.20/1.61 'c_List_Olist_ONil', 'c_emptyset', 'tc_List_Olist'( Y ) ),
% 1.20/1.61 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_insert'(
% 1.20/1.61 'c_List_Olist_ONil', 'c_emptyset', 'tc_List_Olist'( Y ) ) ) ],
% 1.20/1.61 [ =( 'c_List_Olists'( 'c_inter'( X, Y, Z ), Z ), 'c_inter'(
% 1.20/1.61 'c_List_Olists'( X, Z ), 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) )
% 1.20/1.61 ) ],
% 1.20/1.61 [ =( 'c_List_Olists'( 'c_UNIV', X ), 'c_UNIV' ) ],
% 1.20/1.61 [ =( 'c_List_Olistset'( 'c_List_Olist_ONil', X ), 'c_insert'(
% 1.20/1.61 'c_List_Olist_ONil', 'c_emptyset', 'tc_List_Olist'( X ) ) ) ],
% 1.20/1.61 [ =( 'c_List_Olistset'( 'c_List_Olist_OCons'( X, Y, 'tc_set'( Z ) ), Z )
% 1.20/1.61 , 'c_List_Oset__Cons'( X, 'c_List_Olistset'( Y, Z ), Z ) ) ],
% 1.20/1.61 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.20/1.61 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble9', V10 ), V3 ) ],
% 1.20/1.61 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.20/1.61 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleA', V10 ), V4 ) ],
% 1.20/1.61 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.20/1.61 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleB', V10 ), V5 ) ],
% 1.20/1.61 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.20/1.61 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleC', V10 ), V6 ) ],
% 1.20/1.61 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.20/1.61 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleD', V10 ), V7 ) ],
% 1.20/1.61 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.20/1.61 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleE', V10 ), V8 ) ],
% 1.20/1.61 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.20/1.61 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleF', V10 ), V9 ) ],
% 1.20/1.61 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.20/1.61 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble0', V10 ), X ) ],
% 1.20/1.61 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.20/1.61 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble1', V10 ), Y ) ],
% 1.20/1.61 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.20/1.61 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble2', V10 ), Z ) ],
% 1.20/1.61 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.20/1.61 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble3', V10 ), T ) ],
% 1.20/1.61 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.20/1.61 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble4', V10 ), U ) ],
% 1.20/1.61 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.20/1.61 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble5', V10 ), W ) ],
% 1.20/1.61 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.20/1.61 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble6', V10 ), V0 ) ],
% 1.20/1.61 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.20/1.61 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble7', V10 ), V1 ) ],
% 1.20/1.61 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.20/1.61 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble8', V10 ), V2 ) ],
% 1.20/1.61 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.20/1.61 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble9', V10 ), V3 ) ],
% 1.20/1.61 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.20/1.61 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleA', V10 ), V4 ) ],
% 1.20/1.61 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.20/1.61 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleB', V10 ), V5 ) ],
% 1.20/1.61 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.20/1.61 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleC', V10 ), V6 ) ],
% 1.20/1.61 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.20/1.61 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleD', V10 ), V7 ) ],
% 1.20/1.61 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.20/1.61 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleE', V10 ), V8 ) ],
% 1.20/1.61 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.20/1.61 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleF', V10 ), V9 ) ],
% 1.20/1.61 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.20/1.61 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble0', V10 ), X ) ],
% 1.20/1.61 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.20/1.61 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble1', V10 ), Y ) ],
% 1.20/1.61 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.20/1.61 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble2', V10 ), Z ) ],
% 1.20/1.61 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.20/1.61 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble3', V10 ), T ) ],
% 1.20/1.61 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.20/1.61 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble4', V10 ), U ) ],
% 1.20/1.61 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.20/1.61 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble5', V10 ), W ) ],
% 1.20/1.61 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.20/1.61 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble6', V10 ), V0 ) ],
% 1.20/1.61 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.20/1.61 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble7', V10 ), V1 ) ],
% 1.20/1.61 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.20/1.61 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble8', V10 ), V2 ) ],
% 1.20/1.61 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble9', 'tc_List_Onibble' ),
% 1.20/1.61 'c_0' ) ],
% 1.20/1.61 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleA', 'tc_List_Onibble' ),
% 1.20/1.61 'c_0' ) ],
% 1.20/1.61 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleB', 'tc_List_Onibble' ),
% 1.20/1.61 'c_0' ) ],
% 1.20/1.61 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleC', 'tc_List_Onibble' ),
% 1.20/1.61 'c_0' ) ],
% 1.20/1.61 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleD', 'tc_List_Onibble' ),
% 1.20/1.61 'c_0' ) ],
% 1.20/1.61 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleE', 'tc_List_Onibble' ),
% 1.20/1.61 'c_0' ) ],
% 1.20/1.61 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleF', 'tc_List_Onibble' ),
% 1.20/1.61 'c_0' ) ],
% 1.20/1.61 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble0', 'tc_List_Onibble' ),
% 1.20/1.61 'c_0' ) ],
% 1.20/1.61 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble1', 'tc_List_Onibble' ),
% 1.20/1.61 'c_0' ) ],
% 1.20/1.61 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble2', 'tc_List_Onibble' ),
% 1.20/1.61 'c_0' ) ],
% 1.20/1.61 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble3', 'tc_List_Onibble' ),
% 1.20/1.61 'c_0' ) ],
% 1.20/1.61 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble4', 'tc_List_Onibble' ),
% 1.20/1.61 'c_0' ) ],
% 1.20/1.61 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble5', 'tc_List_Onibble' ),
% 1.20/1.61 'c_0' ) ],
% 1.20/1.61 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble6', 'tc_List_Onibble' ),
% 1.20/1.61 'c_0' ) ],
% 1.20/1.61 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble7', 'tc_List_Onibble' ),
% 1.20/1.61 'c_0' ) ],
% 1.20/1.61 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble8', 'tc_List_Onibble' ),
% 1.20/1.61 'c_0' ) ],
% 1.20/1.61 [ ~( =( X, 'c_List_Olist_OCons'( Y, X, Z ) ) ) ],
% 1.20/1.61 [ ~( 'c_in'( X, 'c_List_Oset'( 'c_List_Oremove1'( Y, Z, T ), T ), T ) )
% 1.20/1.61 , 'c_in'( X, 'c_List_Oset'( Z, T ), T ) ],
% 1.20/1.61 [ ~( 'c_in'( X, 'c_List_Oset'( 'c_List_Osublist'( Y, Z, T ), T ), T ) )
% 1.20/1.61 , 'c_in'( X, 'c_List_Oset'( Y, T ), T ) ],
% 1.20/1.61 [ =( 'c_List_Onth'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_0', Z ), X ) ]
% 1.20/1.61 ,
% 1.20/1.61 [ =( 'c_List_Onth'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_Suc'( T ), Z ),
% 1.20/1.61 'c_List_Onth'( Y, T, Z ) ) ],
% 1.20/1.61 [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ), =(
% 1.20/1.61 'c_List_Onth'( 'c_List_Olist_OCons'( Y, Z, T ), 'c_Numeral_Onumber__of'(
% 1.20/1.61 X, 'tc_nat' ), T ), Y ) ],
% 1.20/1.61 [ =( 'c_List_Onth'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.20/1.61 'c_Numeral_Onumber__of'( T, 'tc_nat' ), Z ), 'c_List_Onth'( Y, 'c_minus'(
% 1.20/1.61 'c_Numeral_Onumber__of'( T, 'tc_nat' ), 'c_1', 'tc_nat' ), Z ) ), =(
% 1.20/1.61 'c_Numeral_Onumber__of'( T, 'tc_nat' ), 'c_0' ) ],
% 1.20/1.61 [ =( 'c_List_Onth'( 'c_append'( X, 'c_List_Olist_OCons'( Y, Z, T ), T )
% 1.20/1.61 , 'c_Nat_Osize'( X, 'tc_List_Olist'( T ) ), T ), Y ) ],
% 1.20/1.61 [ =( 'c_List_Onth'( 'c_append'( X, Y, Z ), 'c_plus'( 'c_Nat_Osize'( X,
% 1.20/1.61 'tc_List_Olist'( Z ) ), T, 'tc_nat' ), Z ), 'c_List_Onth'( Y, T, Z ) ) ]
% 1.20/1.61 ,
% 1.20/1.61 [ ~( 'c_lessequals'( 'c_plus'( X, Y, 'tc_nat' ), 'c_Nat_Osize'( Z,
% 1.20/1.61 'tc_List_Olist'( T ) ), 'tc_nat' ) ), =( 'c_List_Onth'( 'c_List_Odrop'( X
% 1.20/1.61 , Z, T ), Y, T ), 'c_List_Onth'( Z, 'c_plus'( X, Y, 'tc_nat' ), T ) ) ]
% 1.20/1.61 ,
% 1.20/1.61 [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) )
% 1.20/1.61 , =( 'c_List_Onth'( 'c_List_Olist__update'( Y, X, T, Z ), X, Z ), T ) ]
% 1.20/1.61 ,
% 1.20/1.61 [ =( X, Y ), =( 'c_List_Onth'( 'c_List_Olist__update'( Z, X, T, U ), Y,
% 1.20/1.61 U ), 'c_List_Onth'( Z, Y, U ) ) ],
% 1.20/1.61 [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) )
% 1.20/1.61 , 'c_in'( 'c_List_Onth'( Y, X, Z ), 'c_List_Oset'( Y, Z ), Z ) ],
% 1.20/1.61 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_List_Onth'( 'c_List_Oreplicate'(
% 1.20/1.61 Y, Z, T ), X, T ), Z ) ],
% 1.20/1.61 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_List_Onth'( 'c_List_Otake'( Y,
% 1.20/1.61 Z, T ), X, T ), 'c_List_Onth'( Z, X, T ) ) ],
% 1.20/1.61 [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ) ), =(
% 1.20/1.61 'c_List_Onth'( 'c_List_Oupt'( X, Z ), Y, 'tc_nat' ), 'c_plus'( X, Y,
% 1.20/1.61 'tc_nat' ) ) ],
% 1.20/1.61 [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) )
% 1.20/1.61 , ~( 'c_less'( X, 'c_Nat_Osize'( T, 'tc_List_Olist'( U ) ), 'tc_nat' ) )
% 1.20/1.61 , =( 'c_List_Onth'( 'c_List_Ozip'( T, Y, U, Z ), X, 'tc_prod'( U, Z ) ),
% 1.20/1.61 'c_Pair'( 'c_List_Onth'( T, X, U ), 'c_List_Onth'( Y, X, Z ), U, Z ) ) ]
% 1.20/1.61 ,
% 1.20/1.61 [ 'c_List_Onull'( 'c_List_Olist_ONil', X ) ],
% 1.20/1.61 [ ~( 'c_List_Onull'( 'c_List_Olist_OCons'( X, Y, Z ), Z ) ) ],
% 1.20/1.61 [ =( 'c_append'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ),
% 1.20/1.61 'c_List_Olist_OCons'( X, 'c_append'( Y, T, Z ), Z ) ) ],
% 1.20/1.61 [ ~( 'c_List_Oop_Amem'( X, 'c_List_Olist_ONil', Y ) ) ],
% 1.20/1.61 [ ~( 'c_List_Oop_Amem'( X, 'c_List_Olist_OCons'( Y, Z, T ), T ) ),
% 1.20/1.61 'c_List_Oop_Amem'( X, Z, T ), =( Y, X ) ],
% 1.20/1.61 [ 'c_List_Oop_Amem'( X, 'c_List_Olist_OCons'( X, Y, Z ), Z ) ],
% 1.20/1.61 [ ~( 'c_List_Oop_Amem'( X, Y, Z ) ), 'c_List_Oop_Amem'( X,
% 1.20/1.61 'c_List_Olist_OCons'( T, Y, Z ), Z ) ],
% 1.20/1.61 [ ~( 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ) ), =( 'c_List_Oremdups'(
% 1.20/1.61 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_List_Oremdups'( Y, Z ) ) ],
% 1.20/1.61 [ 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ), =( 'c_List_Oremdups'(
% 1.20/1.61 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_List_Olist_OCons'( X,
% 1.20/1.61 'c_List_Oremdups'( Y, Z ), Z ) ) ],
% 1.20/1.61 [ ~( =( 'c_List_Oremdups'( X, Y ), 'c_List_Olist_ONil' ) ), =( X,
% 1.20/1.61 'c_List_Olist_ONil' ) ],
% 1.20/1.61 [ =( 'c_List_Oremdups'( 'c_List_Olist_ONil', X ), 'c_List_Olist_ONil' )
% 1.20/1.61 ],
% 1.20/1.61 [ ~( =( 'c_List_Olist_ONil', 'c_List_Oremdups'( X, Y ) ) ), =( X,
% 1.20/1.61 'c_List_Olist_ONil' ) ],
% 1.20/1.61 [ =( 'c_List_Olist_ONil', 'c_List_Oremdups'( 'c_List_Olist_ONil', X ) )
% 1.20/1.61 ],
% 1.20/1.61 [ =( 'c_List_Oremove1'( X, 'c_List_Olist_ONil', Y ), 'c_List_Olist_ONil'
% 1.20/1.61 ) ],
% 1.20/1.61 [ =( 'c_List_Oremove1'( X, 'c_List_Olist_OCons'( X, Y, Z ), Z ), Y ) ]
% 1.20/1.61 ,
% 1.20/1.61 [ =( X, Y ), =( 'c_List_Oremove1'( X, 'c_List_Olist_OCons'( Y, Z, T ), T
% 1.20/1.61 ), 'c_List_Olist_OCons'( Y, 'c_List_Oremove1'( X, Z, T ), T ) ) ],
% 1.20/1.61 [ =( 'c_List_Oreplicate'( 'c_0', X, Y ), 'c_List_Olist_ONil' ) ],
% 1.20/1.61 [ =( 'c_List_Oreplicate'( 'c_Suc'( X ), Y, Z ), 'c_List_Olist_OCons'( Y
% 1.20/1.61 , 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ],
% 1.20/1.61 [ =( 'c_List_Orev'( 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_append'(
% 1.20/1.61 'c_List_Orev'( Y, Z ), 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Z )
% 1.20/1.61 , Z ) ) ],
% 1.20/1.61 [ =( 'c_List_Orev'( 'c_append'( X, Y, Z ), Z ), 'c_append'(
% 1.20/1.61 'c_List_Orev'( Y, Z ), 'c_List_Orev'( X, Z ), Z ) ) ],
% 1.20/1.61 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z, T, Y ) ) ), =( X
% 1.20/1.61 , 'c_append'( 'c_List_Orev'( T, Y ), 'c_List_Olist_OCons'( Z,
% 1.20/1.61 'c_List_Olist_ONil', Y ), Y ) ) ],
% 1.20/1.61 [ =( 'c_List_Orev'( 'c_append'( 'c_List_Orev'( X, Y ),
% 1.20/1.61 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil', Y ), Y ), Y ),
% 1.20/1.61 'c_List_Olist_OCons'( Z, X, Y ) ) ],
% 1.20/1.61 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_ONil' ) ), =( X,
% 1.20/1.61 'c_List_Olist_ONil' ) ],
% 1.20/1.61 [ =( 'c_List_Orev'( 'c_List_Olist_ONil', X ), 'c_List_Olist_ONil' ) ]
% 1.20/1.61 ,
% 1.20/1.61 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Orev'( Z, Y ) ) ), =( X, Z ) ]
% 1.20/1.61 ,
% 1.20/1.61 [ =( 'c_List_Orev'( 'c_List_Oreplicate'( X, Y, Z ), Z ),
% 1.20/1.61 'c_List_Oreplicate'( X, Y, Z ) ) ],
% 1.20/1.61 [ =( 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ), X ) ],
% 1.20/1.61 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z,
% 1.20/1.61 'c_List_Olist_ONil', Y ) ) ), =( X, 'c_List_Olist_OCons'( Z,
% 1.20/1.61 'c_List_Olist_ONil', Y ) ) ],
% 1.20/1.61 [ =( 'c_List_Orev'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ), Y
% 1.20/1.61 ), 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ) ) ],
% 1.20/1.61 [ ~( =( 'c_List_Orotate1'( X, Y ), 'c_List_Olist_ONil' ) ), =( X,
% 1.20/1.61 'c_List_Olist_ONil' ) ],
% 1.20/1.61 [ =( 'c_List_Orotate1'( 'c_List_Olist_ONil', X ), 'c_List_Olist_ONil' )
% 1.20/1.61 ],
% 1.20/1.61 [ ~( 'c_lessequals'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_1',
% 1.20/1.61 'tc_nat' ) ), =( 'c_List_Orotate1'( X, Y ), X ) ],
% 1.20/1.61 [ =( 'c_List_Orotate'( 'c_Suc'( X ), Y, Z ), 'c_List_Orotate1'(
% 1.20/1.61 'c_List_Orotate'( X, Y, Z ), Z ) ) ],
% 1.20/1.61 [ ~( =( 'c_Divides_Oop_Amod'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z )
% 1.20/1.61 ), 'tc_nat' ), 'c_0' ) ), =( 'c_List_Orotate'( X, Y, Z ), Y ) ],
% 1.20/1.61 [ ~( =( 'c_List_Orotate'( X, Y, Z ), 'c_List_Olist_ONil' ) ), =( Y,
% 1.20/1.61 'c_List_Olist_ONil' ) ],
% 1.20/1.61 [ =( 'c_List_Orotate'( X, 'c_List_Olist_ONil', Y ), 'c_List_Olist_ONil'
% 1.20/1.61 ) ],
% 1.20/1.61 [ ~( 'c_lessequals'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_1',
% 1.20/1.61 'tc_nat' ) ), =( 'c_List_Orotate'( Z, X, Y ), X ) ],
% 1.20/1.61 [ ~( =( 'c_append'( X, Y, Z ), 'c_append'( X, T, Z ) ) ), =( Y, T ) ]
% 1.20/1.61 ,
% 1.20/1.61 [ ~( =( X, 'c_append'( Y, X, Z ) ) ), =( Y, 'c_List_Olist_ONil' ) ],
% 1.20/1.61 [ =( X, 'c_append'( 'c_List_Olist_ONil', X, Y ) ) ],
% 1.20/1.61 [ ~( =( X, 'c_append'( X, Y, Z ) ) ), =( Y, 'c_List_Olist_ONil' ) ],
% 1.20/1.61 [ =( X, 'c_append'( X, 'c_List_Olist_ONil', Y ) ) ],
% 1.20/1.61 [ =( 'c_List_Oset'( 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_insert'( X
% 1.20/1.61 , 'c_List_Oset'( Y, Z ), Z ) ) ],
% 1.20/1.61 [ =( 'c_List_Oset'( 'c_append'( X, Y, Z ), Z ), 'c_union'( 'c_List_Oset'(
% 1.20/1.61 X, Z ), 'c_List_Oset'( Y, Z ), Z ) ) ],
% 1.20/1.61 [ ~( =( 'c_emptyset', 'c_List_Oset'( X, Y ) ) ), =( X,
% 1.20/1.61 'c_List_Olist_ONil' ) ],
% 1.20/1.61 [ =( 'c_emptyset', 'c_List_Oset'( 'c_List_Olist_ONil', X ) ) ],
% 1.20/1.61 [ ~( =( 'c_List_Oset'( X, Y ), 'c_emptyset' ) ), =( X,
% 1.20/1.61 'c_List_Olist_ONil' ) ],
% 1.20/1.61 [ =( 'c_List_Oset'( 'c_List_Olist_ONil', X ), 'c_emptyset' ) ],
% 1.20/1.61 [ =( 'c_List_Oset'( 'c_List_Oremdups'( X, Y ), Y ), 'c_List_Oset'( X, Y
% 1.20/1.61 ) ) ],
% 1.20/1.61 [ ~( 'c_List_Odistinct'( X, Y ) ), =( 'c_List_Oset'( 'c_List_Oremove1'(
% 1.20/1.61 Z, X, Y ), Y ), 'c_minus'( 'c_List_Oset'( X, Y ), 'c_insert'( Z,
% 1.20/1.61 'c_emptyset', Y ), 'tc_set'( Y ) ) ) ],
% 1.20/1.61 [ =( X, 'c_0' ), =( 'c_List_Oset'( 'c_List_Oreplicate'( X, Y, Z ), Z ),
% 1.20/1.61 'c_insert'( Y, 'c_emptyset', Z ) ) ],
% 1.20/1.61 [ =( 'c_List_Oset'( 'c_List_Orev'( X, Y ), Y ), 'c_List_Oset'( X, Y ) )
% 1.20/1.61 ],
% 1.20/1.61 [ =( 'c_List_Oset'( 'c_List_Orotate1'( X, Y ), Y ), 'c_List_Oset'( X, Y
% 1.20/1.61 ) ) ],
% 1.20/1.61 [ =( 'c_List_Oset'( 'c_List_Orotate'( X, Y, Z ), Z ), 'c_List_Oset'( Y,
% 1.20/1.61 Z ) ) ],
% 1.20/1.61 [ ~( =( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ), 'c_List_Orev'(
% 1.20/1.61 Z, Y ) ) ), =( Z, 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ) ) ]
% 1.20/1.61 ,
% 1.20/1.61 [ =( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ), 'c_List_Orev'(
% 1.20/1.61 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ), Y ) ) ],
% 1.20/1.61 [ =( 'c_List_Osublist'( X, 'c_emptyset', Y ), 'c_List_Olist_ONil' ) ]
% 1.20/1.61 ,
% 1.20/1.61 [ =( 'c_List_Osublist'( 'c_List_Olist_ONil', X, Y ), 'c_List_Olist_ONil'
% 1.20/1.61 ) ],
% 1.20/1.61 [ ~( 'c_in'( 'c_0', X, 'tc_nat' ) ), =( 'c_List_Osublist'(
% 1.20/1.61 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z ), X, Z ),
% 1.20/1.61 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z ) ) ],
% 1.20/1.61 [ 'c_in'( 'c_0', X, 'tc_nat' ), =( 'c_List_Osublist'(
% 1.20/1.61 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z ), X, Z ),
% 1.20/1.61 'c_List_Olist_ONil' ) ],
% 1.20/1.61 [ =( 'c_List_Osublist'( X, 'c_SetInterval_OlessThan'( Y, 'tc_nat' ), Z )
% 1.20/1.61 , 'c_List_Otake'( Y, X, Z ) ) ],
% 1.20/1.61 [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ), =(
% 1.20/1.61 'c_List_Otake'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.20/1.61 'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_List_Olist_ONil' ) ],
% 1.20/1.61 [ =( 'c_List_Otake'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.20/1.61 'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_List_Olist_OCons'( Y,
% 1.20/1.61 'c_List_Otake'( 'c_minus'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_1'
% 1.20/1.61 , 'tc_nat' ), Z, T ), T ) ), =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.20/1.61 'c_0' ) ],
% 1.20/1.61 [ =( 'c_List_Otake'( 'c_Suc'( X ), 'c_List_Olist_OCons'( Y, Z, T ), T )
% 1.20/1.61 , 'c_List_Olist_OCons'( Y, 'c_List_Otake'( X, Z, T ), T ) ) ],
% 1.20/1.61 [ ~( 'c_lessequals'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), Z,
% 1.20/1.61 'tc_nat' ) ), =( 'c_List_Otake'( Z, X, Y ), X ) ],
% 1.20/1.61 [ =( 'c_List_Otake'( X, 'c_append'( Y, Z, T ), T ), 'c_append'(
% 1.20/1.61 'c_List_Otake'( X, Y, T ), 'c_List_Otake'( 'c_minus'( X, 'c_Nat_Osize'( Y
% 1.20/1.61 , 'tc_List_Olist'( T ) ), 'tc_nat' ), Z, T ), T ) ) ],
% 1.20/1.61 [ ~( =( 'c_List_Otake'( X, Y, Z ), 'c_List_Olist_ONil' ) ), =( X, 'c_0'
% 1.20/1.61 ), =( Y, 'c_List_Olist_ONil' ) ],
% 1.20/1.61 [ =( 'c_List_Otake'( 'c_0', X, Y ), 'c_List_Olist_ONil' ) ],
% 1.20/1.61 [ =( 'c_List_Otake'( X, 'c_List_Olist_ONil', Y ), 'c_List_Olist_ONil' )
% 1.20/1.61 ],
% 1.20/1.61 [ =( 'c_List_Otake'( X, 'c_List_Oreplicate'( Y, Z, T ), T ),
% 1.20/1.61 'c_List_Oreplicate'( 'c_Orderings_Omin'( X, Y, 'tc_nat' ), Z, T ) ) ]
% 1.20/1.61 ,
% 1.20/1.61 [ =( 'c_List_Otake'( X, 'c_List_Otake'( Y, Z, T ), T ), 'c_List_Otake'(
% 1.20/1.61 'c_Orderings_Omin'( X, Y, 'tc_nat' ), Z, T ) ) ],
% 1.20/1.61 [ ~( 'c_lessequals'( 'c_plus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ) ), =(
% 1.20/1.61 'c_List_Otake'( Y, 'c_List_Oupt'( X, Z ), 'tc_nat' ), 'c_List_Oupt'( X,
% 1.20/1.61 'c_plus'( X, Y, 'tc_nat' ) ) ) ],
% 1.20/1.61 [ =( 'c_List_Otl'( 'c_List_Olist_ONil', X ), 'c_List_Olist_ONil' ) ]
% 1.20/1.61 ,
% 1.20/1.61 [ =( 'c_List_Otl'( 'c_List_Olist_OCons'( X, Y, Z ), Z ), Y ) ],
% 1.20/1.61 [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Otl'( 'c_append'( X, Y, Z ), Z
% 1.20/1.61 ), 'c_append'( 'c_List_Otl'( X, Z ), Y, Z ) ) ],
% 1.20/1.61 [ =( X, 'c_0' ), =( 'c_List_Otl'( 'c_List_Oreplicate'( X, Y, Z ), Z ),
% 1.20/1.61 'c_List_Oreplicate'( 'c_minus'( X, 'c_1', 'tc_nat' ), Y, Z ) ) ],
% 1.20/1.61 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_List_Oupt'( X, 'c_Suc'( Y
% 1.20/1.61 ) ), 'c_append'( 'c_List_Oupt'( X, Y ), 'c_List_Olist_OCons'( Y,
% 1.20/1.61 'c_List_Olist_ONil', 'tc_nat' ), 'tc_nat' ) ) ],
% 1.20/1.61 [ 'c_lessequals'( X, Y, 'tc_nat' ), =( 'c_List_Oupt'( X, 'c_Suc'( Y ) )
% 1.20/1.61 , 'c_List_Olist_ONil' ) ],
% 1.20/1.61 [ ~( =( 'c_List_Oupt'( X, Y ), 'c_List_Olist_ONil' ) ), 'c_lessequals'(
% 1.20/1.61 Y, X, 'tc_nat' ), =( Y, 'c_0' ) ],
% 1.20/1.61 [ =( 'c_List_Oupt'( X, 'c_0' ), 'c_List_Olist_ONil' ) ],
% 1.20/1.61 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_List_Oupt'( Y, X ),
% 1.20/1.61 'c_List_Olist_ONil' ) ],
% 1.20/1.61 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), Y ) ) ],
% 1.20/1.61 [ =( 'c_List_Ozip'( X, 'c_List_Olist_ONil', Y, Z ), 'c_List_Olist_ONil'
% 1.20/1.61 ) ],
% 1.20/1.61 [ =( 'c_List_Ozip'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.20/1.61 'c_List_Olist_OCons'( T, U, W ), Z, W ), 'c_List_Olist_OCons'( 'c_Pair'(
% 1.20/1.61 X, T, Z, W ), 'c_List_Ozip'( Y, U, Z, W ), 'tc_prod'( Z, W ) ) ) ],
% 1.20/1.61 [ =( 'c_List_Ozip'( 'c_List_Olist_ONil', X, Y, Z ), 'c_List_Olist_ONil'
% 1.20/1.61 ) ],
% 1.20/1.61 [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( Z,
% 1.20/1.61 'tc_List_Olist'( T ) ) ) ), ~( =( 'c_Nat_Osize'( U, 'tc_List_Olist'( Y )
% 1.20/1.61 ), 'c_Nat_Osize'( W, 'tc_List_Olist'( T ) ) ) ), =( 'c_List_Ozip'(
% 1.20/1.61 'c_append'( U, X, Y ), 'c_append'( W, Z, T ), Y, T ), 'c_append'(
% 1.20/1.61 'c_List_Ozip'( U, W, Y, T ), 'c_List_Ozip'( X, Z, Y, T ), 'tc_prod'( Y, T
% 1.20/1.61 ) ) ) ],
% 1.20/1.61 [ =( 'c_List_Ozip'( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Oreplicate'(
% 1.20/1.61 T, U, W ), Z, W ), 'c_List_Oreplicate'( 'c_Orderings_Omin'( X, T,
% 1.20/1.61 'tc_nat' ), 'c_Pair'( Y, U, Z, W ), 'tc_prod'( Z, W ) ) ) ],
% 1.20/1.61 [ ~( 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ) ), ~( =( 'c_Map_Omap__of'(
% 1.20/1.61 'c_List_Ozip'( Y, T, Z, U ), X, Z, U ), 'c_Datatype_Ooption_ONone' ) ),
% 1.20/1.61 ~( =( 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( T,
% 1.20/1.61 'tc_List_Olist'( U ) ) ) ) ],
% 1.20/1.61 [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( Z,
% 1.20/1.61 'tc_List_Olist'( T ) ) ) ), 'c_in'( U, 'c_List_Oset'( X, Y ), Y ), =(
% 1.20/1.61 'c_Map_Omap__of'( 'c_List_Ozip'( X, Z, Y, T ), U, Y, T ),
% 1.20/1.61 'c_Datatype_Ooption_ONone' ) ],
% 1.20/1.61 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_plus'( 'c_minus'( Y, X,
% 1.20/1.61 'tc_nat' ), Z, 'tc_nat' ), 'c_minus'( 'c_plus'( Y, Z, 'tc_nat' ), X,
% 1.20/1.61 'tc_nat' ) ) ],
% 1.20/1.61 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_plus'( Z, 'c_minus'( Y, X
% 1.20/1.61 , 'tc_nat' ), 'tc_nat' ), 'c_minus'( 'c_plus'( Z, Y, 'tc_nat' ), X,
% 1.20/1.61 'tc_nat' ) ) ],
% 1.20/1.61 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_minus'( Z, 'c_Suc'(
% 1.20/1.61 'c_minus'( Y, X, 'tc_nat' ) ), 'tc_nat' ), 'c_minus'( 'c_plus'( Z, X,
% 1.20/1.61 'tc_nat' ), 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 1.20/1.61 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_minus'( 'c_Suc'(
% 1.20/1.61 'c_minus'( Y, X, 'tc_nat' ) ), Z, 'tc_nat' ), 'c_minus'( 'c_Suc'( Y ),
% 1.20/1.61 'c_plus'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.20/1.61 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_minus'( Y, 'c_minus'( Y,
% 1.20/1.61 X, 'tc_nat' ), 'tc_nat' ), X ) ],
% 1.20/1.61 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_minus'( Z, 'c_minus'( Y,
% 1.20/1.61 X, 'tc_nat' ), 'tc_nat' ), 'c_minus'( 'c_plus'( Z, X, 'tc_nat' ), Y,
% 1.20/1.61 'tc_nat' ) ) ],
% 1.20/1.61 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), ~( 'c_less'( 'c_0', Y, 'tc_nat' )
% 1.20/1.61 ), 'c_less'( 'c_minus'( X, Y, 'tc_nat' ), X, 'tc_nat' ) ],
% 1.20/1.61 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), =(
% 1.20/1.61 'c_NatArith_Oof__nat'( 'c_Suc'( Y ), X ), 'c_plus'( 'c_NatArith_Oof__nat'(
% 1.20/1.61 Y, X ), 'c_1', X ) ) ],
% 1.20/1.61 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( 'c_0',
% 1.20/1.61 'c_NatArith_Oof__nat'( Y, X ) ) ), =( 'c_0', Y ) ],
% 1.20/1.61 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), =( 'c_0',
% 1.20/1.61 'c_NatArith_Oof__nat'( 'c_0', X ) ) ],
% 1.20/1.61 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.20/1.61 'c_0', 'c_NatArith_Oof__nat'( Y, X ), X ) ],
% 1.20/1.61 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'(
% 1.20/1.61 'c_0', 'c_NatArith_Oof__nat'( Y, X ), X ) ), 'c_less'( 'c_0', Y, 'tc_nat'
% 1.20/1.61 ) ],
% 1.20/1.61 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'(
% 1.20/1.61 'c_0', Y, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_NatArith_Oof__nat'( Y, X ), X
% 1.20/1.61 ) ],
% 1.20/1.61 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), =(
% 1.20/1.61 'c_NatArith_Oof__nat'( 'c_1', X ), 'c_1' ) ],
% 1.20/1.61 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), =(
% 1.20/1.61 'c_NatArith_Oof__nat'( 'c_plus'( Y, Z, 'tc_nat' ), X ), 'c_plus'(
% 1.20/1.61 'c_NatArith_Oof__nat'( Y, X ), 'c_NatArith_Oof__nat'( Z, X ), X ) ) ]
% 1.20/1.61 ,
% 1.20/1.61 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_lessequals'(
% 1.20/1.61 Y, Z, 'tc_nat' ) ), =( 'c_NatArith_Oof__nat'( 'c_minus'( Z, Y, 'tc_nat' )
% 1.20/1.61 , X ), 'c_minus'( 'c_NatArith_Oof__nat'( Z, X ), 'c_NatArith_Oof__nat'( Y
% 1.20/1.61 , X ), X ) ) ],
% 1.20/1.61 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 1.20/1.61 'c_NatArith_Oof__nat'( Y, X ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.20/1.61 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), =(
% 1.20/1.61 'c_NatArith_Oof__nat'( 'c_0', X ), 'c_0' ) ],
% 1.20/1.61 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 1.20/1.61 'c_NatArith_Oof__nat'( Y, X ), 'c_NatArith_Oof__nat'( Z, X ) ) ), =( Y, Z
% 1.20/1.61 ) ],
% 1.20/1.61 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.20/1.61 'c_lessequals'( 'c_NatArith_Oof__nat'( Y, X ), 'c_0', X ) ), =( Y, 'c_0'
% 1.20/1.61 ) ],
% 1.20/1.61 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.20/1.61 'c_NatArith_Oof__nat'( 'c_0', X ), 'c_0', X ) ],
% 1.20/1.61 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.20/1.61 'c_lessequals'( 'c_NatArith_Oof__nat'( Y, X ), 'c_NatArith_Oof__nat'( Z,
% 1.20/1.61 X ), X ) ), 'c_lessequals'( Y, Z, 'tc_nat' ) ],
% 1.20/1.61 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.20/1.61 'c_lessequals'( Y, Z, 'tc_nat' ) ), 'c_lessequals'( 'c_NatArith_Oof__nat'(
% 1.20/1.61 Y, X ), 'c_NatArith_Oof__nat'( Z, X ), X ) ],
% 1.20/1.61 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'(
% 1.20/1.61 'c_NatArith_Oof__nat'( Y, X ), 'c_0', X ) ) ],
% 1.20/1.61 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'(
% 1.20/1.61 'c_NatArith_Oof__nat'( Y, X ), 'c_NatArith_Oof__nat'( Z, X ), X ) ),
% 1.20/1.61 'c_less'( Y, Z, 'tc_nat' ) ],
% 1.20/1.61 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( Y,
% 1.20/1.61 Z, 'tc_nat' ) ), 'c_less'( 'c_NatArith_Oof__nat'( Y, X ),
% 1.20/1.61 'c_NatArith_Oof__nat'( Z, X ), X ) ],
% 1.20/1.61 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), =(
% 1.20/1.61 'c_NatArith_Oof__nat'( 'c_times'( Y, Z, 'tc_nat' ), X ), 'c_times'(
% 1.20/1.61 'c_NatArith_Oof__nat'( Y, X ), 'c_NatArith_Oof__nat'( Z, X ), X ) ) ]
% 1.20/1.61 ,
% 1.20/1.61 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint' ) ), =( 'c_Suc'( 'c_Numeral_Onumber__of'( X, 'tc_nat' )
% 1.20/1.61 ), 'c_1' ) ],
% 1.20/1.61 [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint' ), =( 'c_Suc'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ) )
% 1.20/1.61 , 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__succ'( X ), 'tc_nat' ) ) ]
% 1.20/1.61 ,
% 1.20/1.61 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint' ) ), =( 'c_plus'( 'c_Numeral_Onumber__of'( X, 'tc_nat' )
% 1.20/1.61 , 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ),
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ],
% 1.20/1.61 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint' ) ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y,
% 1.20/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_plus'(
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_Numeral_Onumber__of'( X,
% 1.20/1.61 'tc_nat' ), 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ],
% 1.20/1.61 [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y,
% 1.20/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_plus'(
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_Numeral_Onumber__of'( X,
% 1.20/1.61 'tc_nat' ), 'tc_nat' ), 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y
% 1.20/1.61 , X ), 'tc_nat' ) ) ],
% 1.20/1.61 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint' ) ), =( 'c_div'( 'c_Numeral_Onumber__of'( X, 'tc_nat' )
% 1.20/1.61 , 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_0' ) ],
% 1.20/1.61 [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint' ), =( 'c_div'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_IntDef_Onat'(
% 1.20/1.61 'c_div'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ) ]
% 1.20/1.61 ,
% 1.20/1.61 [ ~( 'c_Divides_Oop_Advd'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), =(
% 1.20/1.61 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ),
% 1.20/1.61 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ), 'c_0' ) ],
% 1.20/1.61 [ ~( =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_0' ) ),
% 1.20/1.61 'c_Divides_Oop_Advd'( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ),
% 1.20/1.61 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ) ],
% 1.20/1.61 [ ~( =( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_nat' ) ) ),
% 1.20/1.61 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.20/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.20/1.61 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint' ) ), =( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_nat' ) )
% 1.20/1.61 ],
% 1.20/1.61 [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.20/1.61 , 'tc_IntDef_Oint' ) ), =( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_nat' )
% 1.20/1.61 ) ],
% 1.20/1.61 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint' ) ), ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ), 'c_IntDef_Oiszero'(
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.20/1.61 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint' ) ],
% 1.20/1.61 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint' ) ), ~( =( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ),
% 1.20/1.61 'c_Numeral_Onumber__of'( X, 'tc_nat' ) ) ), 'c_IntDef_Oiszero'(
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.20/1.61 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint' ) ],
% 1.20/1.61 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y,
% 1.20/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_Numeral_Onumber__of'( X,
% 1.20/1.61 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ],
% 1.20/1.61 [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.20/1.61 , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y,
% 1.20/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'(
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =(
% 1.20/1.61 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y,
% 1.20/1.61 'tc_nat' ) ) ],
% 1.20/1.61 [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.20/1.61 , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'(
% 1.20/1.61 'c_Numeral_Obin__add'( X, 'c_Numeral_Obin__minus'( Y ) ),
% 1.20/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'(
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =(
% 1.20/1.61 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y,
% 1.20/1.61 'tc_nat' ) ) ],
% 1.20/1.61 [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'(
% 1.20/1.61 Y, 'tc_nat' ) ) ), 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'(
% 1.20/1.61 'c_Numeral_Obin__add'( X, 'c_Numeral_Obin__minus'( Y ) ),
% 1.20/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_IntDef_Oneg'(
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.20/1.61 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint' ) ],
% 1.20/1.61 [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'(
% 1.20/1.61 X, 'c_Numeral_Obin__minus'( Y ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' )
% 1.20/1.61 ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.20/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_Numeral_Onumber__of'( X,
% 1.20/1.61 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ],
% 1.20/1.61 [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.20/1.61 , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y,
% 1.20/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_IntDef_Oneg'(
% 1.20/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =(
% 1.20/1.61 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y,
% 1.20/1.61 'tc_nat' ) ) ],
% 1.20/1.61 [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.20/1.61 , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'(
% 1.20/1.61 'c_Numeral_Obin__add'( X, 'c_Numeral_Obin__minus'( Y ) ),
% 1.20/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_IntDef_Oneg'(
% 1.20/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =(
% 1.20/1.61 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y,
% 1.20/1.61 'tc_nat' ) ) ],
% 1.20/1.61 [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.20/1.61 , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y,
% 1.20/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_Numeral_Onumber__of'( Y,
% 1.20/1.61 'tc_nat' ), 'c_Numeral_Onumber__of'( X, 'tc_nat' ) ) ],
% 1.20/1.61 [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.20/1.61 , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'(
% 1.20/1.61 'c_Numeral_Obin__add'( Y, 'c_Numeral_Obin__minus'( X ) ),
% 1.20/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_IntDef_Oneg'(
% 1.20/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =(
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_Numeral_Onumber__of'( X,
% 1.20/1.61 'tc_nat' ) ) ],
% 1.20/1.61 [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.20/1.61 , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( Y
% 1.20/1.61 , 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'(
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =(
% 1.20/1.61 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y,
% 1.20/1.61 'tc_nat' ) ) ],
% 1.20/1.61 [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.20/1.61 , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( Y
% 1.20/1.61 , 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'(
% 1.20/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( X,
% 1.20/1.61 'c_Numeral_Obin__minus'( Y ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) )
% 1.20/1.61 , =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y,
% 1.20/1.61 'tc_nat' ) ) ],
% 1.20/1.61 [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ),
% 1.20/1.61 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.20/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.20/1.61 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint' ) ), =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' )
% 1.20/1.61 ],
% 1.20/1.61 [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.20/1.61 , 'tc_IntDef_Oint' ) ), =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0'
% 1.20/1.61 ) ],
% 1.20/1.61 [ =( 'c_IntDef_Oint'( 'c_plus'( X, Y, 'tc_nat' ) ), 'c_plus'(
% 1.20/1.61 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ) ],
% 1.20/1.61 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint' ) ), =( 'c_IntDef_Oint'( 'c_Numeral_Onumber__of'( X,
% 1.20/1.61 'tc_nat' ) ), 'c_0' ) ],
% 1.20/1.61 [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint' ), =( 'c_IntDef_Oint'( 'c_Numeral_Onumber__of'( X,
% 1.20/1.61 'tc_nat' ) ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ) ) ],
% 1.20/1.61 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' )
% 1.20/1.61 ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__minus'( X
% 1.20/1.61 ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.20/1.61 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__minus'(
% 1.20/1.61 X ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_less'( 'c_0',
% 1.20/1.61 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ) ],
% 1.20/1.61 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_nat' )
% 1.20/1.61 , 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), 'c_IntDef_Oneg'(
% 1.20/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__minus'( Y ), 'tc_IntDef_Oint' )
% 1.20/1.61 , 'tc_IntDef_Oint' ) ],
% 1.20/1.61 [ ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), 'c_IntDef_Oneg'(
% 1.20/1.61 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.20/1.61 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( X,
% 1.20/1.61 'c_Numeral_Obin__minus'( Y ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ]
% 1.20/1.61 ,
% 1.20/1.61 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( X
% 1.20/1.61 , 'c_Numeral_Obin__minus'( Y ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' )
% 1.20/1.61 ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint' ), 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ],
% 1.20/1.61 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'(
% 1.20/1.61 'c_Numeral_Obin__minus'( Y ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ),
% 1.20/1.61 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'(
% 1.20/1.61 Y, 'tc_nat' ), 'tc_nat' ) ],
% 1.20/1.61 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( X
% 1.20/1.61 , 'c_Numeral_Obin__minus'( Y ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' )
% 1.20/1.61 ), ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__minus'(
% 1.20/1.61 Y ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_less'(
% 1.20/1.61 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y,
% 1.20/1.61 'tc_nat' ), 'tc_nat' ) ],
% 1.20/1.61 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X
% 1.20/1.61 , 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_0' )
% 1.20/1.61 ],
% 1.20/1.61 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint' ) ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y,
% 1.20/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_Divides_Oop_Amod'(
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_Numeral_Onumber__of'( X,
% 1.20/1.61 'tc_nat' ), 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ],
% 1.20/1.61 [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y,
% 1.20/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_Divides_Oop_Amod'(
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_Numeral_Onumber__of'( X,
% 1.20/1.61 'tc_nat' ), 'tc_nat' ), 'c_IntDef_Onat'( 'c_Divides_Oop_Amod'(
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.20/1.61 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ) ],
% 1.20/1.61 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint' ) ), =( 'c_times'( 'c_Numeral_Onumber__of'( X, 'tc_nat'
% 1.20/1.61 ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_0' ) ],
% 1.20/1.61 [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint' ), =( 'c_times'( 'c_Numeral_Onumber__of'( X, 'tc_nat' )
% 1.20/1.61 , 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ),
% 1.20/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__mult'( X, Y ), 'tc_nat' ) ) ]
% 1.20/1.61 ,
% 1.20/1.61 [ =( 'c_IntDef_Onat'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ) ),
% 1.20/1.61 'c_Numeral_Onumber__of'( X, 'tc_nat' ) ) ],
% 1.20/1.61 [ =( 'c_Numeral_Onumber__of'( 'c_Numeral_OPls', 'tc_nat' ), 'c_0' ) ]
% 1.20/1.61 ,
% 1.20/1.61 [ =( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.20/1.61 'c_Numeral_Obit_OB1' ), 'tc_nat' ), 'c_1' ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =(
% 1.20/1.61 'c_NatArith_Oof__nat'( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0'
% 1.20/1.61 ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'c_IntDef_Oneg'(
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =(
% 1.20/1.61 'c_NatArith_Oof__nat'( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ),
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, X ) ) ],
% 1.20/1.61 [ =( 'c_div'( 'c_Suc'( 'c_0' ), 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.20/1.61 'tc_nat' ), 'c_IntDef_Onat'( 'c_div'( 'c_1', 'c_Numeral_Onumber__of'( X,
% 1.20/1.61 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ) ],
% 1.20/1.61 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 'c_Suc'( 'c_0' ),
% 1.20/1.61 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ), 'c_Suc'( 'c_0' ) ) ]
% 1.20/1.61 ,
% 1.20/1.61 [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint' ), =( 'c_Divides_Oop_Amod'( 'c_Suc'( 'c_0' ),
% 1.20/1.61 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ), 'c_IntDef_Onat'(
% 1.20/1.61 'c_Divides_Oop_Amod'( 'c_1', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.20/1.61 ), 'tc_IntDef_Oint' ) ) ) ],
% 1.20/1.61 [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( 'c_1',
% 1.20/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.20/1.61 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.20/1.61 'tc_nat' ), X ), 'c_1' ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber'( X ) ), ~( 'class_Power_Orecpower'( X ) ),
% 1.20/1.61 =( 'c_Nat_Opower'( 'c_Numeral_Onumber__of'( Y, X ),
% 1.20/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.20/1.61 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.20/1.61 'tc_nat' ), X ), 'c_times'( 'c_Numeral_Onumber__of'( Y, X ),
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, X ), X ) ) ],
% 1.20/1.61 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( 'c_Nat_Opower'(
% 1.20/1.61 'c_uminus'( Y, X ), 'c_times'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.20/1.61 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.20/1.61 'c_Numeral_Obit_OB0' ), 'tc_nat' ), Z, 'tc_nat' ), X ), 'c_Nat_Opower'( Y
% 1.20/1.61 , 'c_times'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.20/1.61 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.20/1.61 'tc_nat' ), Z, 'tc_nat' ), X ) ) ],
% 1.20/1.61 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint' ) ), =( 'c_Nat_Opower'( 'c_Numeral_Onumber__of'( X,
% 1.20/1.61 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ),
% 1.20/1.61 'c_Nat_Opower'( 'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' )
% 1.20/1.61 ) ],
% 1.20/1.61 [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.20/1.61 'tc_IntDef_Oint' ), =( 'c_Nat_Opower'( 'c_Numeral_Onumber__of'( X,
% 1.20/1.61 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ),
% 1.20/1.61 'c_IntDef_Onat'( 'c_Nat_Opower'( 'c_Numeral_Onumber__of'( X,
% 1.20/1.61 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ),
% 1.20/1.61 'tc_IntDef_Oint' ) ) ) ],
% 1.20/1.61 [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( 'c_0',
% 1.20/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.20/1.61 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.20/1.61 'tc_nat' ), X ), 'c_0' ) ],
% 1.20/1.61 [ =( 'c_div'( 'c_Suc'( 'c_Suc'( 'c_Suc'( X ) ) ),
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_div'( 'c_plus'(
% 1.20/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.20/1.61 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB1' ),
% 1.20/1.61 'tc_nat' ), X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ),
% 1.20/1.61 'tc_nat' ) ) ],
% 1.20/1.61 [ =( 'c_Divides_Oop_Amod'( 'c_Suc'( 'c_Suc'( 'c_Suc'( X ) ) ),
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_Divides_Oop_Amod'(
% 1.20/1.61 'c_plus'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.20/1.61 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB1' ),
% 1.20/1.61 'tc_nat' ), X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ),
% 1.20/1.61 'tc_nat' ) ) ],
% 1.20/1.61 [ =( 'c_plus'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.20/1.61 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.20/1.61 'c_Numeral_Obit_OB0' ), 'tc_nat' ), X, 'tc_nat' ), 'c_Suc'( 'c_Suc'( X )
% 1.20/1.61 ) ) ],
% 1.20/1.61 [ =( 'c_plus'( X, 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.20/1.61 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.20/1.61 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ), 'c_Suc'( 'c_Suc'( X ) ) )
% 1.20/1.61 ],
% 1.20/1.61 [ =( 'c_div'( 'c_plus'( X, X, 'tc_nat' ), 'c_Numeral_Onumber__of'(
% 1.20/1.61 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.20/1.61 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ), X
% 1.20/1.61 ) ],
% 1.20/1.61 [ =( 'c_div'( 'c_Suc'( 'c_Suc'( X ) ), 'c_Numeral_Onumber__of'(
% 1.20/1.61 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.20/1.61 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ),
% 1.20/1.61 'c_Suc'( 'c_div'( X, 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.20/1.61 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.20/1.61 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ) ) ) ],
% 1.20/1.61 [ =( 'c_div'( X, 'c_Suc'( 'c_Suc'( 'c_Suc'( Y ) ) ), 'tc_nat' ), 'c_div'(
% 1.20/1.61 X, 'c_plus'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.20/1.61 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB1' ),
% 1.20/1.61 'tc_nat' ), Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_times'( 'c_divide'( Y,
% 1.20/1.61 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_Numeral_Onumber__of'( Z, X ), X
% 1.20/1.61 ) ), =( 'c_Numeral_Onumber__of'( Z, X ), 'c_0' ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_Numeral_Onumber__of'( Y
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% 1.20/1.61 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_times'( 'c_0',
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'( Y, X ), X
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% 1.20/1.61 'c_Numeral_Onumber__of'( Y, X ), X ) ],
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% 1.20/1.61 X ) ), 'c_lessequals'( 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X
% 1.20/1.61 ), 'c_0', X ) ],
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% 1.20/1.61 ) ), 'c_lessequals'( 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X )
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% 1.20/1.61 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ],
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% 1.20/1.61 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ), 'c_lessequals'( 'c_0', T, X
% 1.20/1.61 ) ],
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% 1.20/1.61 'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X ), Y, X ) ],
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% 1.20/1.61 X ), X ), T, X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X )
% 1.20/1.61 , 'c_lessequals'( 'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X ), Y
% 1.20/1.61 , X ) ],
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% 1.20/1.61 'c_lessequals'( 'c_0', Z, X ) ), 'c_less'( 'c_Numeral_Onumber__of'( T, X
% 1.20/1.61 ), 'c_0', X ), 'c_lessequals'( 'c_divide'( Y, 'c_Numeral_Onumber__of'( T
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% 1.20/1.61 'c_lessequals'( 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X
% 1.20/1.61 ) ), 'c_lessequals'( 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ), X )
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% 1.20/1.61 Y, X ), 'c_0', X ) ],
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% 1.20/1.61 'c_less'( 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X ), 'c_0', X )
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% 1.20/1.61 'c_less'( 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X ), 'c_0', X )
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% 1.20/1.61 'c_Numeral_Onumber__of'( Z, X ), X ), Y, X ) ],
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% 1.20/1.61 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ],
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% 1.20/1.61 'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ],
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% 1.20/1.61 'c_less'( 'c_divide'( Y, 'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ]
% 1.20/1.61 ,
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% 1.20/1.61 ), X ), Y, X ) ), 'c_less'( 'c_divide'( Y, 'c_Numeral_Onumber__of'( T, X
% 1.20/1.61 ), X ), Z, X ) ],
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% 1.20/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y,
% 1.20/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), X ), 'c_uminus'( Y, X ) )
% 1.20/1.61 ],
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% 1.20/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Numeral_Onumber__of'( Y, X
% 1.20/1.61 ), 'c_0' ), =( 'c_times'( 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X )
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% 1.20/1.61 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_Numeral_Onumber__of'( Y
% 1.20/1.61 , X ), 'c_0' ) ), =( 'c_0', 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X
% 1.20/1.61 ), X ) ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_divide'( 'c_times'( Y,
% 1.20/1.61 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_Numeral_Onumber__of'( Z, X ), X
% 1.20/1.61 ) ), =( 'c_Numeral_Onumber__of'( Z, X ), 'c_0' ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_0', 'c_divide'( 'c_times'(
% 1.20/1.61 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'( Y,
% 1.20/1.61 X ), X ) ) ],
% 1.20/1.61 [ ~( 'class_HOL_Oone'( X ) ), ~( 'class_OrderedGroup_Oab__group__add'( X
% 1.20/1.61 ) ), ~( =( 'c_uminus'( Y, X ), 'c_1' ) ), =( Y, 'c_uminus'( 'c_1', X ) )
% 1.20/1.61 ],
% 1.20/1.61 [ ~( 'class_HOL_Oone'( X ) ), ~( 'class_OrderedGroup_Oab__group__add'( X
% 1.20/1.61 ) ), =( 'c_uminus'( 'c_uminus'( 'c_1', X ), X ), 'c_1' ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.61 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, X ), 'c_uminus'( Z, X ) ) ), =( Z, 'c_uminus'(
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, X ), X ) ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.61 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_Numeral_Onumber__of'(
% 1.20/1.61 Y, X ), 'c_uminus'( 'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), X )
% 1.20/1.61 ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.20/1.61 ) ), 'c_less'( 'c_0', 'c_divide'( Y, 'c_Numeral_Onumber__of'(
% 1.20/1.61 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.20/1.61 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), X ), X ), X ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber'( X ) ), ~( 'class_Ring__and__Field_Ofield'(
% 1.20/1.61 X ) ), =( 'c_HOL_Oinverse'( 'c_Numeral_Onumber__of'( Y, X ), X ),
% 1.20/1.61 'c_divide'( 'c_1', 'c_Numeral_Onumber__of'( Y, X ), X ) ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'( Z, 'c_divide'(
% 1.20/1.61 T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_lessequals'( 'c_times'(
% 1.20/1.61 Z, 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( Z,
% 1.20/1.61 'c_divide'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_less'(
% 1.20/1.61 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_lessequals'( T, 'c_times'(
% 1.20/1.61 Z, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.20/1.61 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), 'c_less'(
% 1.20/1.61 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ), 'c_less'(
% 1.20/1.61 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ), 'c_lessequals'( Y, 'c_0', X
% 1.20/1.61 ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.20/1.61 'c_0', X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ),
% 1.20/1.61 'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ), 'c_lessequals'( Y
% 1.20/1.61 , 'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X ), X ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( Z,
% 1.20/1.61 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_less'(
% 1.20/1.61 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_lessequals'( T,
% 1.20/1.61 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.20/1.61 'c_0', X ) ), ~( 'c_lessequals'( Z, 'c_times'( Y, 'c_Numeral_Onumber__of'(
% 1.20/1.61 T, X ), X ), X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X )
% 1.20/1.61 , 'c_lessequals'( Y, 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X )
% 1.20/1.61 , X ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'( 'c_times'( Z,
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_lessequals'( Z,
% 1.20/1.61 'c_divide'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.20/1.61 'c_0', X ) ), ~( 'c_lessequals'( 'c_times'( Y, 'c_Numeral_Onumber__of'( Z
% 1.20/1.61 , X ), X ), T, X ) ), 'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X
% 1.20/1.61 ), 'c_lessequals'( Y, 'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X
% 1.20/1.61 ), X ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( Z,
% 1.20/1.61 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), ~(
% 1.20/1.61 'c_lessequals'( 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X
% 1.20/1.61 ) ), 'c_lessequals'( T, 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ),
% 1.20/1.61 X ), X ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.20/1.61 'c_0', X ) ), ~( 'c_lessequals'( Z, 'c_times'( Y, 'c_Numeral_Onumber__of'(
% 1.20/1.61 T, X ), X ), X ) ), ~( 'c_lessequals'( 'c_times'( Y,
% 1.20/1.61 'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ), 'c_lessequals'( Y,
% 1.20/1.61 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ],
% 1.20/1.61 [ ~( 'class_HOL_Oone'( X ) ), ~(
% 1.20/1.61 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'(
% 1.20/1.61 'c_1', 'c_uminus'( Y, X ), X ) ), 'c_lessequals'( Y, 'c_uminus'( 'c_1', X
% 1.20/1.61 ), X ) ],
% 1.20/1.61 [ ~( 'class_HOL_Oone'( X ) ), ~(
% 1.20/1.61 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'(
% 1.20/1.61 Y, 'c_uminus'( 'c_1', X ), X ) ), 'c_lessequals'( 'c_1', 'c_uminus'( Y, X
% 1.20/1.61 ), X ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.61 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'(
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, X ), 'c_uminus'( Z, X ), X ) ),
% 1.20/1.61 'c_lessequals'( Z, 'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), X )
% 1.20/1.61 ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.61 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'(
% 1.20/1.61 Y, 'c_uminus'( 'c_Numeral_Onumber__of'( Z, X ), X ), X ) ),
% 1.20/1.61 'c_lessequals'( 'c_Numeral_Onumber__of'( Z, X ), 'c_uminus'( Y, X ), X )
% 1.20/1.61 ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber'( X ) ), ~( 'class_Ring__and__Field_Oring'(
% 1.20/1.61 X ) ), =( 'c_times'( 'c_minus'( Y, Z, X ), 'c_Numeral_Onumber__of'( T, X
% 1.20/1.61 ), X ), 'c_minus'( 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X ),
% 1.20/1.61 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Osemiring'( X ) ), =( 'c_times'( 'c_plus'( Y, Z,
% 1.20/1.61 X ), 'c_Numeral_Onumber__of'( T, X ), X ), 'c_plus'( 'c_times'( Y,
% 1.20/1.61 'c_Numeral_Onumber__of'( T, X ), X ), 'c_times'( Z,
% 1.20/1.61 'c_Numeral_Onumber__of'( T, X ), X ), X ) ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.20/1.61 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'(
% 1.20/1.61 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ) ), 'c_less'( 'c_times'( Y,
% 1.20/1.61 'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.20/1.61 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'(
% 1.20/1.61 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ), 'c_less'( Z, 'c_times'( Y
% 1.20/1.61 , 'c_Numeral_Onumber__of'( T, X ), X ), X ), 'c_less'( 'c_0',
% 1.20/1.61 'c_Numeral_Onumber__of'( T, X ), X ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.20/1.61 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), 'c_less'( Y,
% 1.20/1.61 'c_0', X ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ),
% 1.20/1.61 'c_less'( 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.20/1.61 ) ), 'c_less'( Y, 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X
% 1.20/1.61 ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ), 'c_less'(
% 1.20/1.61 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.20/1.61 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'(
% 1.20/1.61 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ), 'c_less'( Z, 'c_divide'( Y
% 1.20/1.61 , 'c_Numeral_Onumber__of'( T, X ), X ), X ), 'c_less'( 'c_0',
% 1.20/1.61 'c_Numeral_Onumber__of'( T, X ), X ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.20/1.61 ) ), ~( 'c_less'( Z, 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X )
% 1.20/1.61 , X ) ), 'c_less'( Y, 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X )
% 1.20/1.61 , X ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_less'( 'c_times'( Z,
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'( Z, 'c_divide'(
% 1.20/1.61 T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.20/1.61 ) ), ~( 'c_less'( 'c_times'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), T
% 1.20/1.61 , X ) ), 'c_less'( Y, 'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X )
% 1.20/1.61 , X ), 'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.20/1.61 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'(
% 1.20/1.61 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ), ~( 'c_less'( 'c_times'( Z
% 1.20/1.61 , 'c_Numeral_Onumber__of'( T, X ), X ), Y, X ) ), 'c_less'( Z, 'c_divide'(
% 1.20/1.61 Y, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.20/1.61 ) ), ~( 'c_less'( Z, 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X )
% 1.20/1.61 , X ) ), ~( 'c_less'( 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X )
% 1.20/1.61 , Z, X ) ), 'c_less'( Y, 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ),
% 1.20/1.61 X ), X ) ],
% 1.20/1.61 [ ~( 'class_HOL_Oone'( X ) ), ~(
% 1.20/1.61 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( 'c_1'
% 1.20/1.61 , 'c_uminus'( Y, X ), X ) ), 'c_less'( Y, 'c_uminus'( 'c_1', X ), X ) ]
% 1.20/1.61 ,
% 1.20/1.61 [ ~( 'class_HOL_Oone'( X ) ), ~(
% 1.20/1.61 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( Y,
% 1.20/1.61 'c_uminus'( 'c_1', X ), X ) ), 'c_less'( 'c_1', 'c_uminus'( Y, X ), X ) ]
% 1.20/1.61 ,
% 1.20/1.61 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.61 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, X ), 'c_uminus'( Z, X ), X ) ), 'c_less'( Z,
% 1.20/1.61 'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.61 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( Y,
% 1.20/1.61 'c_uminus'( 'c_Numeral_Onumber__of'( Z, X ), X ), X ) ), 'c_less'(
% 1.20/1.61 'c_Numeral_Onumber__of'( Z, X ), 'c_uminus'( Y, X ), X ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'(
% 1.20/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), Y, X ), 'c_uminus'(
% 1.20/1.61 'c_divide'( 'c_1', Y, X ), X ) ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.61 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 'c_uminus'( Y, X ),
% 1.20/1.61 'c_Numeral_Onumber__of'( Z, X ) ) ), =( 'c_uminus'(
% 1.20/1.61 'c_Numeral_Onumber__of'( Z, X ), X ), Y ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.61 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_uminus'( 'c_uminus'(
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, X ), X ), X ), 'c_Numeral_Onumber__of'( Y, X
% 1.20/1.61 ) ) ],
% 1.20/1.61 [ ~( 'class_HOL_Oone'( X ) ), ~(
% 1.20/1.61 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'(
% 1.20/1.61 'c_uminus'( Y, X ), 'c_1', X ) ), 'c_lessequals'( 'c_uminus'( 'c_1', X )
% 1.20/1.61 , Y, X ) ],
% 1.20/1.61 [ ~( 'class_HOL_Oone'( X ) ), ~(
% 1.20/1.61 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'(
% 1.20/1.61 'c_uminus'( 'c_1', X ), Y, X ) ), 'c_lessequals'( 'c_uminus'( Y, X ),
% 1.20/1.61 'c_1', X ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.61 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'(
% 1.20/1.61 'c_uminus'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ) ),
% 1.20/1.61 'c_lessequals'( 'c_uminus'( 'c_Numeral_Onumber__of'( Z, X ), X ), Y, X )
% 1.20/1.61 ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.61 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'(
% 1.20/1.61 'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ),
% 1.20/1.61 'c_lessequals'( 'c_uminus'( Z, X ), 'c_Numeral_Onumber__of'( Y, X ), X )
% 1.20/1.61 ],
% 1.20/1.61 [ ~( 'class_HOL_Oone'( X ) ), ~(
% 1.20/1.61 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.20/1.61 'c_uminus'( Y, X ), 'c_1', X ) ), 'c_less'( 'c_uminus'( 'c_1', X ), Y, X
% 1.20/1.61 ) ],
% 1.20/1.61 [ ~( 'class_HOL_Oone'( X ) ), ~(
% 1.20/1.61 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.20/1.61 'c_uminus'( 'c_1', X ), Y, X ) ), 'c_less'( 'c_uminus'( Y, X ), 'c_1', X
% 1.20/1.61 ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.61 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.20/1.61 'c_uminus'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ) ), 'c_less'(
% 1.20/1.61 'c_uminus'( 'c_Numeral_Onumber__of'( Z, X ), X ), Y, X ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.61 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.20/1.61 'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ), 'c_less'(
% 1.20/1.61 'c_uminus'( Z, X ), 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.20/1.61 [ =( 'c_Divides_Oop_Amod'( 'c_Suc'( 'c_Suc'( X ) ),
% 1.20/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.20/1.61 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.20/1.61 'tc_nat' ), 'tc_nat' ), 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'(
% 1.20/1.61 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.20/1.61 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ) )
% 1.20/1.61 ],
% 1.20/1.61 [ ~( 'c_less'( 'c_0', 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'(
% 1.20/1.61 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.20/1.61 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ),
% 1.20/1.61 'tc_nat' ) ), =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'(
% 1.20/1.61 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.20/1.61 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ),
% 1.20/1.61 'c_1' ) ],
% 1.20/1.61 [ ~( =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'(
% 1.20/1.61 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.20/1.61 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ),
% 1.20/1.61 'c_1' ) ), 'c_less'( 'c_0', 'c_Divides_Oop_Amod'( X,
% 1.20/1.61 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.20/1.61 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.20/1.61 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ],
% 1.20/1.61 [ =( 'c_Divides_Oop_Amod'( X, 'c_Suc'( 'c_Suc'( 'c_Suc'( Y ) ) ),
% 1.20/1.61 'tc_nat' ), 'c_Divides_Oop_Amod'( X, 'c_plus'( 'c_Numeral_Onumber__of'(
% 1.20/1.61 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.20/1.61 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB1' ), 'tc_nat' ), Y, 'tc_nat' )
% 1.20/1.61 , 'tc_nat' ) ) ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'(
% 1.20/1.61 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'(
% 1.20/1.61 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'(
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ), 'c_lessequals'( Z, T, X )
% 1.20/1.61 ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'(
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'(
% 1.20/1.61 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'(
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ), 'c_lessequals'( T, Z, X )
% 1.20/1.61 ],
% 1.20/1.61 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.61 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 'c_less'( 'c_0',
% 1.20/1.61 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'( 'c_Numeral_Onumber__of'(
% 1.20/1.61 Y, X ), 'c_0', X ), 'c_lessequals'( 'c_times'( 'c_Numeral_Onumber__of'( Y
% 1.20/1.62 , X ), Z, X ), 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'(
% 1.20/1.62 Y, Z, X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ),
% 1.20/1.62 'c_lessequals'( 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Z, X ),
% 1.20/1.62 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Y, X ), X ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'(
% 1.20/1.62 Y, Z, X ) ), 'c_less'( 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ),
% 1.20/1.62 'c_lessequals'( 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Y, X ),
% 1.20/1.62 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Z, X ), X ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'(
% 1.20/1.62 Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ), 'c_lessequals'( 'c_times'(
% 1.20/1.62 'c_Numeral_Onumber__of'( T, X ), Z, X ), 'c_times'(
% 1.20/1.62 'c_Numeral_Onumber__of'( T, X ), Y, X ), X ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'(
% 1.20/1.62 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'(
% 1.20/1.62 'c_times'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_times'( T,
% 1.20/1.62 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_lessequals'( Z, T, X ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'(
% 1.20/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'(
% 1.20/1.62 'c_times'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_times'( T,
% 1.20/1.62 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_lessequals'( T, Z, X ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 'c_less'( 'c_0',
% 1.20/1.62 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'( 'c_Numeral_Onumber__of'(
% 1.20/1.62 Y, X ), 'c_0', X ), 'c_lessequals'( 'c_times'( Z, 'c_Numeral_Onumber__of'(
% 1.20/1.62 Y, X ), X ), 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'(
% 1.20/1.62 Y, Z, X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ),
% 1.20/1.62 'c_lessequals'( 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ),
% 1.20/1.62 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'(
% 1.20/1.62 Y, Z, X ) ), 'c_less'( 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ),
% 1.20/1.62 'c_lessequals'( 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X ),
% 1.20/1.62 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'(
% 1.20/1.62 Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ), 'c_lessequals'( 'c_times'( Z
% 1.20/1.62 , 'c_Numeral_Onumber__of'( T, X ), X ), 'c_times'( Y,
% 1.20/1.62 'c_Numeral_Onumber__of'( T, X ), X ), X ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'(
% 1.20/1.62 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'(
% 1.20/1.62 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ), ~( 'c_lessequals'( 'c_0'
% 1.20/1.62 , 'c_Numeral_Onumber__of'( Y, X ), X ) ), 'c_less'( Z, T, X ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'(
% 1.20/1.62 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'(
% 1.20/1.62 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ), ~( 'c_lessequals'(
% 1.20/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), 'c_less'( T, Z, X ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 'c_less'(
% 1.20/1.62 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'(
% 1.20/1.62 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ), 'c_lessequals'( 'c_0',
% 1.20/1.62 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_lessequals'(
% 1.20/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.20/1.62 , X ) ), 'c_less'( 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Z, X ),
% 1.20/1.62 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Y, X ), X ), 'c_lessequals'(
% 1.20/1.62 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.20/1.62 , X ) ), 'c_less'( 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Y, X ),
% 1.20/1.62 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Z, X ), X ), 'c_lessequals'(
% 1.20/1.62 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.20/1.62 , X ) ), ~( 'c_less'( Z, Y, X ) ), 'c_less'( 'c_times'(
% 1.20/1.62 'c_Numeral_Onumber__of'( T, X ), Z, X ), 'c_times'(
% 1.20/1.62 'c_Numeral_Onumber__of'( T, X ), Y, X ), X ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'(
% 1.20/1.62 'c_times'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_times'( T,
% 1.20/1.62 'c_Numeral_Onumber__of'( Z, X ), X ), X ) ), ~( 'c_lessequals'( 'c_0',
% 1.20/1.62 'c_Numeral_Onumber__of'( Z, X ), X ) ), 'c_less'( Y, T, X ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'(
% 1.20/1.62 'c_times'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_times'( T,
% 1.20/1.62 'c_Numeral_Onumber__of'( Z, X ), X ), X ) ), ~( 'c_lessequals'(
% 1.20/1.62 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ), 'c_less'( T, Y, X ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 'c_less'(
% 1.20/1.62 'c_times'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_times'( T,
% 1.20/1.62 'c_Numeral_Onumber__of'( Z, X ), X ), X ), 'c_lessequals'( 'c_0',
% 1.20/1.62 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_lessequals'(
% 1.20/1.62 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.20/1.62 , X ) ), 'c_less'( 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ),
% 1.20/1.62 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X ), X ), 'c_lessequals'(
% 1.20/1.62 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.20/1.62 , X ) ), 'c_less'( 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X ),
% 1.20/1.62 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ), 'c_lessequals'(
% 1.20/1.62 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.20/1.62 , X ) ), ~( 'c_less'( Z, Y, X ) ), 'c_less'( 'c_times'( Z,
% 1.20/1.62 'c_Numeral_Onumber__of'( T, X ), X ), 'c_times'( Y,
% 1.20/1.62 'c_Numeral_Onumber__of'( T, X ), X ), X ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~( 'class_Ring__and__Field_Oring'(
% 1.20/1.62 X ) ), =( 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), 'c_minus'( Z, T, X
% 1.20/1.62 ), X ), 'c_minus'( 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ),
% 1.20/1.62 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Osemiring'( X ) ), =( 'c_times'(
% 1.20/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_plus'( Z, T, X ), X ), 'c_plus'(
% 1.20/1.62 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'(
% 1.20/1.62 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.20/1.62 , 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ),
% 1.20/1.62 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ),
% 1.20/1.62 'c_lessequals'( 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.20/1.62 , 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ),
% 1.20/1.62 'c_lessequals'( Z, 'c_0', X ), 'c_lessequals'( 'c_0',
% 1.20/1.62 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.20/1.62 , 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ),
% 1.20/1.62 'c_lessequals'( 'c_0', Z, X ), 'c_lessequals'( 'c_Numeral_Onumber__of'( Y
% 1.20/1.62 , X ), 'c_0', X ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.20/1.62 , 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ),
% 1.20/1.62 'c_lessequals'( Z, 'c_0', X ), 'c_lessequals'( 'c_0', Z, X ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.20/1.62 , Y, X ) ), ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X
% 1.20/1.62 ) ), 'c_lessequals'( 'c_0', 'c_divide'( 'c_Numeral_Onumber__of'( Z, X )
% 1.20/1.62 , Y, X ), X ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.20/1.62 'c_0', X ) ), ~( 'c_lessequals'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0',
% 1.20/1.62 X ) ), 'c_lessequals'( 'c_0', 'c_divide'( 'c_Numeral_Onumber__of'( Z, X )
% 1.20/1.62 , Y, X ), X ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.20/1.62 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 'c_less'(
% 1.20/1.62 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'(
% 1.20/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.20/1.62 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 'c_less'( Z,
% 1.20/1.62 'c_0', X ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.20/1.62 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 'c_less'(
% 1.20/1.62 'c_0', Z, X ), 'c_less'( 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.20/1.62 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 'c_less'( Z,
% 1.20/1.62 'c_0', X ), 'c_less'( 'c_0', Z, X ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.20/1.62 ) ), ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ) ),
% 1.20/1.62 'c_less'( 'c_0', 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X ), X )
% 1.20/1.62 ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.20/1.62 ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ),
% 1.20/1.62 'c_less'( 'c_0', 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X ), X )
% 1.20/1.62 ],
% 1.20/1.62 [ =( 'c_1', 'c_Suc'( 'c_0' ) ) ],
% 1.20/1.62 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 1.20/1.62 [ =( 'c_minus'( 'c_minus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'( Z ),
% 1.20/1.62 'tc_nat' ), 'c_minus'( 'c_minus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ) ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ ~( 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ),
% 1.20/1.62 'c_lessequals'( X, Y, 'tc_nat' ) ],
% 1.20/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 'c_Suc'( X ),
% 1.20/1.62 'c_Suc'( Y ), 'tc_nat' ) ],
% 1.20/1.62 [ ~( 'c_less'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ), 'c_less'( X, Y
% 1.20/1.62 , 'tc_nat' ) ],
% 1.20/1.62 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 'c_Suc'( X ), 'c_Suc'( Y )
% 1.20/1.62 , 'tc_nat' ) ],
% 1.20/1.62 [ ~( =( 'c_Suc'( X ), 'c_0' ) ) ],
% 1.20/1.62 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_Suc'( 'c_minus'( X, 'c_Suc'(
% 1.20/1.62 'c_0' ), 'tc_nat' ) ), X ) ],
% 1.20/1.62 [ ~( =( 'c_0', 'c_Suc'( X ) ) ) ],
% 1.20/1.62 [ =( 'c_plus'( X, 'c_0', 'tc_nat' ), X ) ],
% 1.20/1.62 [ =( 'c_plus'( X, 'c_Suc'( Y ), 'tc_nat' ), 'c_Suc'( 'c_plus'( X, Y,
% 1.20/1.62 'tc_nat' ) ) ) ],
% 1.20/1.62 [ ~( 'c_less'( 'c_0', 'c_plus'( X, Y, 'tc_nat' ), 'tc_nat' ) ), 'c_less'(
% 1.20/1.62 'c_0', Y, 'tc_nat' ), 'c_less'( 'c_0', X, 'tc_nat' ) ],
% 1.20/1.62 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_plus'( X, Y,
% 1.20/1.62 'tc_nat' ), 'tc_nat' ) ],
% 1.20/1.62 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_plus'( Y, X,
% 1.20/1.62 'tc_nat' ), 'tc_nat' ) ],
% 1.20/1.62 [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_0' ) ), =( X, 'c_0' ) ],
% 1.20/1.62 [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.20/1.62 [ =( 'c_plus'( 'c_0', 'c_0', 'tc_nat' ), 'c_0' ) ],
% 1.20/1.62 [ =( 'c_minus'( 'c_0', X, 'tc_nat' ), 'c_0' ) ],
% 1.20/1.62 [ =( 'c_minus'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), 'c_minus'( X, Y
% 1.20/1.62 , 'tc_nat' ) ) ],
% 1.20/1.62 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_minus'( X, 'c_Suc'(
% 1.20/1.62 Y ), 'tc_nat' ), X, 'tc_nat' ) ],
% 1.20/1.62 [ =( 'c_minus'( 'c_minus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ), 'c_minus'( X
% 1.20/1.62 , 'c_plus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.20/1.62 [ ~( =( 'c_minus'( X, Y, 'tc_nat' ), 'c_0' ) ), 'c_lessequals'( X, Y,
% 1.20/1.62 'tc_nat' ) ],
% 1.20/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_minus'( X, Y, 'tc_nat' )
% 1.20/1.62 , 'c_0' ) ],
% 1.20/1.62 [ 'c_lessequals'( 'c_minus'( X, Y, 'tc_nat' ), X, 'tc_nat' ) ],
% 1.20/1.62 [ =( 'c_minus'( X, X, 'tc_nat' ), 'c_0' ) ],
% 1.20/1.62 [ ~( 'c_lessequals'( X, 'c_0', 'tc_nat' ) ), =( X, 'c_0' ) ],
% 1.20/1.62 [ 'c_lessequals'( 'c_0', 'c_0', 'tc_nat' ) ],
% 1.20/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_plus'( 'c_minus'( Y, X,
% 1.20/1.62 'tc_nat' ), X, 'tc_nat' ), Y ) ],
% 1.20/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_plus'( X, 'c_minus'( Y, X
% 1.20/1.62 , 'tc_nat' ), 'tc_nat' ), Y ) ],
% 1.20/1.62 [ ~( 'c_less'( X, 'c_Suc'( 'c_0' ), 'tc_nat' ) ), =( X, 'c_0' ) ],
% 1.20/1.62 [ 'c_less'( 'c_0', 'c_Suc'( 'c_0' ), 'tc_nat' ) ],
% 1.20/1.62 [ ~( 'c_less'( X, 'c_1', 'tc_nat' ) ), =( X, 'c_0' ) ],
% 1.20/1.62 [ 'c_less'( 'c_0', 'c_1', 'tc_nat' ) ],
% 1.20/1.62 [ =( 'c_Orderings_Omax'( 'c_0', X, 'tc_nat' ), X ) ],
% 1.20/1.62 [ =( 'c_Orderings_Omax'( X, 'c_0', 'tc_nat' ), X ) ],
% 1.20/1.62 [ =( 'c_Orderings_Omax'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), 'c_Suc'(
% 1.20/1.62 'c_Orderings_Omax'( X, Y, 'tc_nat' ) ) ) ],
% 1.20/1.62 [ =( 'c_Orderings_Omin'( 'c_0', X, 'tc_nat' ), 'c_0' ) ],
% 1.20/1.62 [ =( 'c_Orderings_Omin'( X, 'c_0', 'tc_nat' ), 'c_0' ) ],
% 1.20/1.62 [ =( 'c_Orderings_Omin'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), 'c_Suc'(
% 1.20/1.62 'c_Orderings_Omin'( X, Y, 'tc_nat' ) ) ) ],
% 1.20/1.62 [ =( 'c_times'( X, 'c_0', 'tc_nat' ), 'c_0' ) ],
% 1.20/1.62 [ =( 'c_times'( X, 'c_Suc'( Y ), 'tc_nat' ), 'c_plus'( X, 'c_times'( X,
% 1.20/1.62 Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.20/1.62 [ ~( =( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( X, Z, 'tc_nat' ) ) ),
% 1.20/1.62 =( Y, Z ), =( X, 'c_0' ) ],
% 1.20/1.62 [ =( 'c_times'( 'c_0', X, 'tc_nat' ), 'c_times'( 'c_0', Y, 'tc_nat' ) )
% 1.20/1.62 ],
% 1.20/1.62 [ ~( =( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( Z, Y, 'tc_nat' ) ) ),
% 1.20/1.62 =( X, Z ), =( Y, 'c_0' ) ],
% 1.20/1.62 [ =( 'c_times'( X, 'c_0', 'tc_nat' ), 'c_times'( Y, 'c_0', 'tc_nat' ) )
% 1.20/1.62 ],
% 1.20/1.62 [ ~( =( 'c_times'( X, Y, 'tc_nat' ), 'c_Suc'( 'c_0' ) ) ), =( X, 'c_1' )
% 1.20/1.62 ],
% 1.20/1.62 [ ~( =( 'c_times'( X, Y, 'tc_nat' ), 'c_Suc'( 'c_0' ) ) ), =( Y, 'c_1' )
% 1.20/1.62 ],
% 1.20/1.62 [ =( 'c_times'( 'c_1', 'c_1', 'tc_nat' ), 'c_Suc'( 'c_0' ) ) ],
% 1.20/1.62 [ ~( =( 'c_times'( X, Y, 'tc_nat' ), 'c_0' ) ), =( Y, 'c_0' ), =( X,
% 1.20/1.62 'c_0' ) ],
% 1.20/1.62 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_times'( X,
% 1.20/1.62 Y, 'tc_nat' ), 'c_times'( X, Z, 'tc_nat' ), 'tc_nat' ) ), 'c_lessequals'(
% 1.20/1.62 Y, Z, 'tc_nat' ) ],
% 1.20/1.62 [ 'c_less'( 'c_0', X, 'tc_nat' ), 'c_lessequals'( 'c_times'( X, Y,
% 1.20/1.62 'tc_nat' ), 'c_times'( X, Z, 'tc_nat' ), 'tc_nat' ) ],
% 1.20/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 'c_times'( Z, X
% 1.20/1.62 , 'tc_nat' ), 'c_times'( Z, Y, 'tc_nat' ), 'tc_nat' ) ],
% 1.20/1.62 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_times'( Y,
% 1.20/1.62 X, 'tc_nat' ), 'c_times'( Z, X, 'tc_nat' ), 'tc_nat' ) ), 'c_lessequals'(
% 1.20/1.62 Y, Z, 'tc_nat' ) ],
% 1.20/1.62 [ 'c_less'( 'c_0', X, 'tc_nat' ), 'c_lessequals'( 'c_times'( Y, X,
% 1.20/1.62 'tc_nat' ), 'c_times'( Z, X, 'tc_nat' ), 'tc_nat' ) ],
% 1.20/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 'c_times'( X, Z
% 1.20/1.62 , 'tc_nat' ), 'c_times'( Y, Z, 'tc_nat' ), 'tc_nat' ) ],
% 1.20/1.62 [ ~( 'c_less'( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( X, Z, 'tc_nat' )
% 1.20/1.62 , 'tc_nat' ) ), 'c_less'( 'c_0', X, 'tc_nat' ) ],
% 1.20/1.62 [ ~( 'c_less'( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( X, Z, 'tc_nat' )
% 1.20/1.62 , 'tc_nat' ) ), 'c_less'( Y, Z, 'tc_nat' ) ],
% 1.20/1.62 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), ~( 'c_less'( 'c_0', Z, 'tc_nat' ) ),
% 1.20/1.62 'c_less'( 'c_times'( Z, X, 'tc_nat' ), 'c_times'( Z, Y, 'tc_nat' ),
% 1.20/1.62 'tc_nat' ) ],
% 1.20/1.62 [ ~( 'c_less'( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( Z, Y, 'tc_nat' )
% 1.20/1.62 , 'tc_nat' ) ), 'c_less'( 'c_0', Y, 'tc_nat' ) ],
% 1.20/1.62 [ ~( 'c_less'( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( Z, Y, 'tc_nat' )
% 1.20/1.62 , 'tc_nat' ) ), 'c_less'( X, Z, 'tc_nat' ) ],
% 1.20/1.62 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), ~( 'c_less'( 'c_0', Z, 'tc_nat' ) ),
% 1.20/1.62 'c_less'( 'c_times'( X, Z, 'tc_nat' ), 'c_times'( Y, Z, 'tc_nat' ),
% 1.20/1.62 'tc_nat' ) ],
% 1.20/1.62 [ ~( 'c_less'( 'c_0', 'c_times'( X, Y, 'tc_nat' ), 'tc_nat' ) ),
% 1.20/1.62 'c_less'( 'c_0', X, 'tc_nat' ) ],
% 1.20/1.62 [ ~( 'c_less'( 'c_0', 'c_times'( X, Y, 'tc_nat' ), 'tc_nat' ) ),
% 1.20/1.62 'c_less'( 'c_0', Y, 'tc_nat' ) ],
% 1.20/1.62 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), ~( 'c_less'( 'c_0', Y, 'tc_nat' )
% 1.20/1.62 ), 'c_less'( 'c_0', 'c_times'( Y, X, 'tc_nat' ), 'tc_nat' ) ],
% 1.20/1.62 [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_plus'( X, Z, 'tc_nat' ) ) ), =( Y
% 1.20/1.62 , Z ) ],
% 1.20/1.62 [ ~( 'c_lessequals'( 'c_plus'( X, Y, 'tc_nat' ), 'c_plus'( X, Z,
% 1.20/1.62 'tc_nat' ), 'tc_nat' ) ), 'c_lessequals'( Y, Z, 'tc_nat' ) ],
% 1.20/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 'c_plus'( Z, X
% 1.20/1.62 , 'tc_nat' ), 'c_plus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ],
% 1.20/1.62 [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), 'c_plus'( X, Z, 'tc_nat' ),
% 1.20/1.62 'tc_nat' ) ), 'c_less'( Y, Z, 'tc_nat' ) ],
% 1.20/1.62 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 'c_plus'( Z, X, 'tc_nat' )
% 1.20/1.62 , 'c_plus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ],
% 1.20/1.62 [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_plus'( Z, Y, 'tc_nat' ) ) ), =( X
% 1.20/1.62 , Z ) ],
% 1.20/1.62 [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.20/1.62 [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.20/1.62 [ 'c_less'( 'c_0', X, 'tc_nat' ), =( X, 'c_0' ) ],
% 1.20/1.62 [ ~( 'c_less'( 'c_0', 'c_0', 'tc_nat' ) ) ],
% 1.20/1.62 [ ~( 'c_less'( X, 'c_0', 'tc_nat' ) ) ],
% 1.20/1.62 [ ~( =( 'c_Suc'( 'c_0' ), 'c_times'( X, Y, 'tc_nat' ) ) ), =( X, 'c_1' )
% 1.20/1.62 ],
% 1.20/1.62 [ ~( =( 'c_Suc'( 'c_0' ), 'c_times'( X, Y, 'tc_nat' ) ) ), =( Y, 'c_1' )
% 1.20/1.62 ],
% 1.20/1.62 [ =( 'c_Suc'( 'c_0' ), 'c_times'( 'c_1', 'c_1', 'tc_nat' ) ) ],
% 1.20/1.62 [ ~( 'c_lessequals'( 'c_Suc'( 'c_0' ), 'c_times'( X, Y, 'tc_nat' ),
% 1.20/1.62 'tc_nat' ) ), 'c_lessequals'( 'c_1', X, 'tc_nat' ) ],
% 1.20/1.62 [ ~( 'c_lessequals'( 'c_Suc'( 'c_0' ), 'c_times'( X, Y, 'tc_nat' ),
% 1.20/1.62 'tc_nat' ) ), 'c_lessequals'( 'c_1', Y, 'tc_nat' ) ],
% 1.20/1.62 [ ~( 'c_lessequals'( 'c_1', X, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_1', Y
% 1.20/1.62 , 'tc_nat' ) ), 'c_lessequals'( 'c_Suc'( 'c_0' ), 'c_times'( Y, X,
% 1.20/1.62 'tc_nat' ), 'tc_nat' ) ],
% 1.20/1.62 [ =( 'c_times'( 'c_0', X, 'tc_nat' ), 'c_0' ) ],
% 1.20/1.62 [ =( 'c_times'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_plus'( Y, 'c_times'( X,
% 1.20/1.62 Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.20/1.62 [ =( 'c_plus'( 'c_0', X, 'tc_nat' ), X ) ],
% 1.20/1.62 [ =( 'c_plus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'( 'c_plus'( X, Y,
% 1.20/1.62 'tc_nat' ) ) ) ],
% 1.20/1.62 [ =( 'c_minus'( X, 'c_0', 'tc_nat' ), X ) ],
% 1.20/1.62 [ ~( 'c_less'( 'c_0', 'c_minus'( X, Y, 'tc_nat' ), 'tc_nat' ) ),
% 1.20/1.62 'c_less'( Y, X, 'tc_nat' ) ],
% 1.20/1.62 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_minus'( Y, X,
% 1.20/1.62 'tc_nat' ), 'tc_nat' ) ],
% 1.20/1.62 [ =( 'c_Numeral_OBit'( 'c_Numeral_OMin', 'c_Numeral_Obit_OB1' ),
% 1.20/1.62 'c_Numeral_OMin' ) ],
% 1.20/1.62 [ =( 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB0' ),
% 1.20/1.62 'c_Numeral_OPls' ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'(
% 1.20/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_minus'( Z, 'c_Numeral_Onumber__of'( T
% 1.20/1.62 , X ), X ), X ), 'c_plus'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'(
% 1.20/1.62 Y, 'c_Numeral_Obin__minus'( T ) ), X ), Z, X ) ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'(
% 1.20/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_plus'( 'c_Numeral_Onumber__of'( Z, X
% 1.20/1.62 ), T, X ), X ), 'c_plus'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'(
% 1.20/1.62 Y, Z ), X ), T, X ) ) ],
% 1.20/1.62 [ =( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' )
% 1.20/1.62 , 'c_Numeral_OBit'( Y, Z ) ), 'c_Numeral_OBit'( 'c_Numeral_Obin__add'( X
% 1.20/1.62 , Y ), Z ) ) ],
% 1.20/1.62 [ =( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB1' )
% 1.20/1.62 , 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB0' ) ), 'c_Numeral_OBit'(
% 1.20/1.62 'c_Numeral_Obin__add'( X, Y ), 'c_Numeral_Obit_OB1' ) ) ],
% 1.20/1.62 [ =( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB1' )
% 1.20/1.62 , 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB1' ) ), 'c_Numeral_OBit'(
% 1.20/1.62 'c_Numeral_Obin__add'( X, 'c_Numeral_Obin__succ'( Y ) ),
% 1.20/1.62 'c_Numeral_Obit_OB0' ) ) ],
% 1.20/1.62 [ =( 'c_Numeral_Obin__add'( 'c_Numeral_OMin', X ),
% 1.20/1.62 'c_Numeral_Obin__pred'( X ) ) ],
% 1.20/1.62 [ =( 'c_Numeral_Obin__add'( X, 'c_Numeral_OMin' ),
% 1.20/1.62 'c_Numeral_Obin__pred'( X ) ) ],
% 1.20/1.62 [ =( 'c_Numeral_Obin__add'( 'c_Numeral_OPls', X ), X ) ],
% 1.20/1.62 [ =( 'c_Numeral_Obin__add'( X, 'c_Numeral_OPls' ), X ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'(
% 1.20/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ),
% 1.20/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, Z ), X ) ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_uminus'(
% 1.20/1.62 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'(
% 1.20/1.62 'c_Numeral_Obin__minus'( Y ), X ) ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_uminus'( 'c_1', X ),
% 1.20/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ) ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_times'(
% 1.20/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ),
% 1.20/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__mult'( Y, Z ), X ) ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_minus'(
% 1.20/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ),
% 1.20/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.20/1.62 'c_Numeral_Obin__minus'( Z ) ), X ) ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'(
% 1.20/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), =( 'c_HOL_Oabs'(
% 1.20/1.62 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_uminus'( 'c_Numeral_Onumber__of'(
% 1.20/1.62 Y, X ), X ) ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_less'(
% 1.20/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ), =( 'c_HOL_Oabs'(
% 1.20/1.62 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'( Y, X ) ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ =( 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0'
% 1.20/1.62 ) ), 'c_Numeral_OBit'( 'c_Numeral_Obin__minus'( X ),
% 1.20/1.62 'c_Numeral_Obit_OB0' ) ) ],
% 1.20/1.62 [ =( 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB1'
% 1.20/1.62 ) ), 'c_Numeral_OBit'( 'c_Numeral_Obin__pred'( 'c_Numeral_Obin__minus'(
% 1.20/1.62 X ) ), 'c_Numeral_Obit_OB1' ) ) ],
% 1.20/1.62 [ =( 'c_Numeral_Obin__minus'( 'c_Numeral_OMin' ), 'c_Numeral_OBit'(
% 1.20/1.62 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ) ) ],
% 1.20/1.62 [ =( 'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ), 'c_Numeral_OPls' ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ =( 'c_Numeral_Obin__mult'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' )
% 1.20/1.62 , Y ), 'c_Numeral_OBit'( 'c_Numeral_Obin__mult'( X, Y ),
% 1.20/1.62 'c_Numeral_Obit_OB0' ) ) ],
% 1.20/1.62 [ =( 'c_Numeral_Obin__mult'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB1' )
% 1.20/1.62 , Y ), 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( 'c_Numeral_Obin__mult'( X
% 1.20/1.62 , Y ), 'c_Numeral_Obit_OB0' ), Y ) ) ],
% 1.20/1.62 [ =( 'c_Numeral_Obin__mult'( 'c_Numeral_OMin', X ),
% 1.20/1.62 'c_Numeral_Obin__minus'( X ) ) ],
% 1.20/1.62 [ =( 'c_Numeral_Obin__mult'( 'c_Numeral_OPls', X ), 'c_Numeral_OPls' ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ =( 'c_Numeral_Obin__pred'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' )
% 1.20/1.62 ), 'c_Numeral_OBit'( 'c_Numeral_Obin__pred'( X ), 'c_Numeral_Obit_OB1' )
% 1.20/1.62 ) ],
% 1.20/1.62 [ =( 'c_Numeral_Obin__pred'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB1' )
% 1.20/1.62 ), 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' ) ) ],
% 1.20/1.62 [ =( 'c_Numeral_Obin__pred'( 'c_Numeral_OMin' ), 'c_Numeral_OBit'(
% 1.20/1.62 'c_Numeral_OMin', 'c_Numeral_Obit_OB0' ) ) ],
% 1.20/1.62 [ =( 'c_Numeral_Obin__pred'( 'c_Numeral_OPls' ), 'c_Numeral_OMin' ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), ~(
% 1.20/1.62 'c_IntDef_Oiszero'( 'c_1', X ) ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'(
% 1.20/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), X ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.20/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, Z ), X ), X ) ),
% 1.20/1.62 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.20/1.62 'c_Numeral_Onumber__of'( Y, X ), X ) ), 'c_IntDef_Oneg'(
% 1.20/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, Z ), X ), X ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.20/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.20/1.62 'c_Numeral_Obin__minus'( Z ) ), X ), X ) ), ~( 'c_lessequals'(
% 1.20/1.62 'c_Numeral_Onumber__of'( Z, X ), 'c_Numeral_Onumber__of'( Y, X ), X ) ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'(
% 1.20/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.20/1.62 'c_Numeral_Obin__minus'( Z ) ), X ), X ), 'c_lessequals'(
% 1.20/1.62 'c_Numeral_Onumber__of'( Z, X ), 'c_Numeral_Onumber__of'( Y, X ), X ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( =( 'c_Numeral_Onumber__of'(
% 1.20/1.62 Y, X ), 'c_Numeral_Onumber__of'( Z, X ) ) ), 'c_IntDef_Oiszero'(
% 1.20/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.20/1.62 'c_Numeral_Obin__minus'( Z ) ), X ), X ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'c_IntDef_Oiszero'(
% 1.20/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.20/1.62 'c_Numeral_Obin__minus'( Z ) ), X ), X ) ), =( 'c_Numeral_Onumber__of'( Y
% 1.20/1.62 , X ), 'c_Numeral_Onumber__of'( Z, X ) ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'c_IntDef_Oiszero'(
% 1.20/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OPls', X ), X ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'c_IntDef_Oiszero'(
% 1.20/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), X ) ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oiszero'(
% 1.20/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB0' ), X )
% 1.20/1.62 , X ) ), 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oiszero'(
% 1.20/1.62 'c_Numeral_Onumber__of'( Y, X ), X ) ), 'c_IntDef_Oiszero'(
% 1.20/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB0' ), X )
% 1.20/1.62 , X ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oiszero'(
% 1.20/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB1' ), X )
% 1.20/1.62 , X ) ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'(
% 1.20/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ) ),
% 1.20/1.62 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.20/1.62 'c_Numeral_Obin__minus'( Z ) ), X ), X ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.20/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.20/1.62 'c_Numeral_Obin__minus'( Z ) ), X ), X ) ), 'c_less'(
% 1.20/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.20/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OPls', X ), X ) ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.20/1.62 'c_0', X ) ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.20/1.62 'c_1', X ) ) ],
% 1.20/1.62 [ =( 'c_Numeral_Obin__succ'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' )
% 1.20/1.62 ), 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB1' ) ) ],
% 1.20/1.62 [ =( 'c_Numeral_Obin__succ'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB1' )
% 1.20/1.62 ), 'c_Numeral_OBit'( 'c_Numeral_Obin__succ'( X ), 'c_Numeral_Obit_OB0' )
% 1.20/1.62 ) ],
% 1.20/1.62 [ =( 'c_Numeral_Obin__succ'( 'c_Numeral_OMin' ), 'c_Numeral_OPls' ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ =( 'c_Numeral_Obin__succ'( 'c_Numeral_OPls' ), 'c_Numeral_OBit'(
% 1.20/1.62 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ) ) ],
% 1.20/1.62 [ =( 'c_Numeral_Obit_Obit__case'( X, Y, 'c_Numeral_Obit_OB0', Z ), X ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ =( 'c_Numeral_Obit_Obit__case'( X, Y, 'c_Numeral_Obit_OB1', Z ), Y ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ ~( =( 'c_Numeral_Obit_OB0', 'c_Numeral_Obit_OB1' ) ) ],
% 1.20/1.62 [ ~( =( 'c_Numeral_Obit_OB1', 'c_Numeral_Obit_OB0' ) ) ],
% 1.20/1.62 [ =( 'c_Numeral_Obit_Obit__rec'( X, Y, 'c_Numeral_Obit_OB0', Z ), X ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ =( 'c_Numeral_Obit_Obit__rec'( X, Y, 'c_Numeral_Obit_OB1', Z ), Y ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ =( 'c_Nat_Osize'( 'c_Numeral_Obit_OB0', 'tc_Numeral_Obit' ), 'c_0' ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ =( 'c_Nat_Osize'( 'c_Numeral_Obit_OB1', 'tc_Numeral_Obit' ), 'c_0' ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_times'( 'c_uminus'(
% 1.20/1.62 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ), 'c_times'(
% 1.20/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__minus'( Y ), X ), Z, X ) ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_times'(
% 1.20/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), Y, X ), 'c_uminus'( Y, X
% 1.20/1.62 ) ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_times'( Y,
% 1.20/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), X ), 'c_uminus'( Y, X ) )
% 1.20/1.62 ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_times'(
% 1.20/1.62 'c_Numeral_Onumber__of'( Y, X ), 'c_times'( 'c_Numeral_Onumber__of'( Z, X
% 1.20/1.62 ), T, X ), X ), 'c_times'( 'c_Numeral_Onumber__of'(
% 1.20/1.62 'c_Numeral_Obin__mult'( Y, Z ), X ), T, X ) ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_Numeral_Onumber__of'(
% 1.20/1.62 'c_Numeral_OPls', X ), 'c_0' ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_Numeral_Onumber__of'(
% 1.20/1.62 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), X ), 'c_1' )
% 1.20/1.62 ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_plus'(
% 1.20/1.62 'c_uminus'( Y, X ), Y, X ), 'c_0' ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~( =( 'c_0'
% 1.20/1.62 , 'c_HOL_Oabs'( Y, X ) ) ), =( Y, 'c_0' ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), =( 'c_0',
% 1.20/1.62 'c_HOL_Oabs'( 'c_0', X ) ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), =(
% 1.20/1.62 'c_HOL_Oabs'( 'c_plus'( 'c_HOL_Oabs'( Y, X ), 'c_HOL_Oabs'( Z, X ), X ),
% 1.20/1.62 X ), 'c_plus'( 'c_HOL_Oabs'( Y, X ), 'c_HOL_Oabs'( Z, X ), X ) ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~( =(
% 1.20/1.62 'c_HOL_Oabs'( Y, X ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), =(
% 1.20/1.62 'c_HOL_Oabs'( 'c_0', X ), 'c_0' ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.20/1.62 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), =(
% 1.20/1.62 'c_HOL_Oabs'( 'c_HOL_Oabs'( Y, X ), X ), 'c_HOL_Oabs'( Y, X ) ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~(
% 1.20/1.62 'c_lessequals'( 'c_HOL_Oabs'( Y, X ), 'c_0', X ) ), =( Y, 'c_0' ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.20/1.62 'c_lessequals'( 'c_HOL_Oabs'( 'c_0', X ), 'c_0', X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), =(
% 1.20/1.62 'c_HOL_Oabs'( 'c_uminus'( Y, X ), X ), 'c_HOL_Oabs'( Y, X ) ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~( 'c_less'(
% 1.20/1.62 'c_HOL_Oabs'( Y, X ), 'c_0', X ) ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~(
% 1.20/1.62 'c_lessequals'( 'c_0', Y, X ) ), =( 'c_HOL_Oabs'( Y, X ), Y ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~(
% 1.20/1.62 'c_lessequals'( Y, 'c_0', X ) ), =( 'c_HOL_Oabs'( Y, X ), 'c_uminus'( Y,
% 1.20/1.62 X ) ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 'c_plus'( Y,
% 1.20/1.62 'c_0', X ), Y ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.20/1.62 , ~( 'c_lessequals'( 'c_plus'( Y, Z, X ), 'c_plus'( Y, T, X ), X ) ),
% 1.20/1.62 'c_lessequals'( Z, T, X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.20/1.62 , ~( 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_plus'( T, Y, X ),
% 1.20/1.62 'c_plus'( T, Z, X ), X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.20/1.62 , ~( 'c_lessequals'( 'c_plus'( Y, Z, X ), 'c_plus'( T, Z, X ), X ) ),
% 1.20/1.62 'c_lessequals'( Y, T, X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.20/1.62 , ~( 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_plus'( Y, T, X ),
% 1.20/1.62 'c_plus'( Z, T, X ), X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( 'c_plus'(
% 1.20/1.62 Y, Z, X ), 'c_plus'( Y, T, X ) ) ), =( Z, T ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.20/1.62 , ~( 'c_less'( 'c_plus'( Y, Z, X ), 'c_plus'( Y, T, X ), X ) ), 'c_less'(
% 1.20/1.62 Z, T, X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.20/1.62 , ~( 'c_less'( Y, Z, X ) ), 'c_less'( 'c_plus'( T, Y, X ), 'c_plus'( T, Z
% 1.20/1.62 , X ), X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.20/1.62 , ~( 'c_less'( 'c_plus'( Y, Z, X ), 'c_plus'( T, Z, X ), X ) ), 'c_less'(
% 1.20/1.62 Y, T, X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.20/1.62 , ~( 'c_less'( Y, Z, X ) ), 'c_less'( 'c_plus'( Y, T, X ), 'c_plus'( Z, T
% 1.20/1.62 , X ), X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( 'c_plus'(
% 1.20/1.62 Y, Z, X ), 'c_plus'( T, Z, X ) ) ), =( Y, T ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 'c_plus'( 'c_0'
% 1.20/1.62 , Y, X ), Y ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_minus'( 'c_0', Y
% 1.20/1.62 , X ), 'c_uminus'( Y, X ) ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_minus'( Y, 'c_0'
% 1.20/1.62 , X ), Y ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 'c_minus'( Y, Z
% 1.20/1.62 , X ), 'c_0' ) ), =( Y, Z ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 1.20/1.62 'c_lessequals'( 'c_minus'( Y, Z, X ), 'c_0', X ) ), 'c_lessequals'( Y, Z
% 1.20/1.62 , X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 1.20/1.62 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_minus'( Y, Z, X ), 'c_0'
% 1.20/1.62 , X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.20/1.62 'c_minus'( Y, Z, X ), 'c_0', X ) ), 'c_less'( Y, Z, X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.20/1.62 Y, Z, X ) ), 'c_less'( 'c_minus'( Y, Z, X ), 'c_0', X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_minus'( Y,
% 1.20/1.62 'c_uminus'( Z, X ), X ), 'c_plus'( Y, Z, X ) ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_minus'( Y, Y, X
% 1.20/1.62 ), 'c_0' ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'(
% 1.20/1.62 'c_plus'( Y, Y, X ), 'c_0', X ) ), 'c_lessequals'( Y, 'c_0', X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'(
% 1.20/1.62 Y, 'c_0', X ) ), 'c_lessequals'( 'c_plus'( Y, Y, X ), 'c_0', X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 1.20/1.62 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( 'c_plus'( Y, Y, X ),
% 1.20/1.62 'c_0', X ) ), 'c_less'( Y, 'c_0', X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 1.20/1.62 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( Y, 'c_0', X ) ),
% 1.20/1.62 'c_less'( 'c_plus'( Y, Y, X ), 'c_0', X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( =(
% 1.20/1.62 'c_LOrder_Ojoin'( Y, 'c_uminus'( Y, X ), X ), 'c_0' ) ), =( Y, 'c_0' ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =(
% 1.20/1.62 'c_LOrder_Ojoin'( 'c_0', 'c_uminus'( 'c_0', X ), X ), 'c_0' ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( =(
% 1.20/1.62 'c_LOrder_Omeet'( Y, 'c_uminus'( Y, X ), X ), 'c_0' ) ), =( Y, 'c_0' ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =(
% 1.20/1.62 'c_LOrder_Omeet'( 'c_0', 'c_uminus'( 'c_0', X ), X ), 'c_0' ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_uminus'(
% 1.20/1.62 'c_plus'( Y, Z, X ), X ), 'c_plus'( 'c_uminus'( Y, X ), 'c_uminus'( Z, X
% 1.20/1.62 ), X ) ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_uminus'(
% 1.20/1.62 'c_minus'( Y, Z, X ), X ), 'c_minus'( Z, Y, X ) ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_uminus'(
% 1.20/1.62 'c_uminus'( Y, X ), X ), Y ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 'c_times'( 'c_1', Y,
% 1.20/1.62 X ), Y ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 'c_times'( Y, 'c_1',
% 1.20/1.62 X ), Y ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 'c_0',
% 1.20/1.62 'c_uminus'( Y, X ) ) ), =( 'c_0', Y ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_0', 'c_uminus'(
% 1.20/1.62 'c_0', X ) ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 1.20/1.62 'c_lessequals'( 'c_0', 'c_uminus'( Y, X ), X ) ), 'c_lessequals'( Y,
% 1.20/1.62 'c_0', X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 1.20/1.62 'c_lessequals'( Y, 'c_0', X ) ), 'c_lessequals'( 'c_0', 'c_uminus'( Y, X
% 1.20/1.62 ), X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.20/1.62 'c_0', 'c_uminus'( Y, X ), X ) ), 'c_less'( Y, 'c_0', X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.20/1.62 Y, 'c_0', X ) ), 'c_less'( 'c_0', 'c_uminus'( Y, X ), X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 'c_uminus'( Y, X
% 1.20/1.62 ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_uminus'( 'c_0',
% 1.20/1.62 X ), 'c_0' ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 'c_uminus'( Y, X
% 1.20/1.62 ), 'c_uminus'( Z, X ) ) ), =( Y, Z ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =( 'c_uminus'(
% 1.20/1.62 'c_LOrder_Ojoin'( Y, Z, X ), X ), 'c_LOrder_Omeet'( 'c_uminus'( Y, X ),
% 1.20/1.62 'c_uminus'( Z, X ), X ) ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 1.20/1.62 'c_lessequals'( 'c_uminus'( Y, X ), 'c_0', X ) ), 'c_lessequals'( 'c_0',
% 1.20/1.62 Y, X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 1.20/1.62 'c_lessequals'( 'c_0', Y, X ) ), 'c_lessequals'( 'c_uminus'( Y, X ),
% 1.20/1.62 'c_0', X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 1.20/1.62 'c_lessequals'( 'c_uminus'( Y, X ), 'c_uminus'( Z, X ), X ) ),
% 1.20/1.62 'c_lessequals'( Z, Y, X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 1.20/1.62 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_uminus'( Z, X ),
% 1.20/1.62 'c_uminus'( Y, X ), X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.20/1.62 'c_uminus'( Y, X ), 'c_0', X ) ), 'c_less'( 'c_0', Y, X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.20/1.62 'c_0', Y, X ) ), 'c_less'( 'c_uminus'( Y, X ), 'c_0', X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.20/1.62 'c_uminus'( Y, X ), 'c_uminus'( Z, X ), X ) ), 'c_less'( Z, Y, X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.20/1.62 Y, Z, X ) ), 'c_less'( 'c_uminus'( Z, X ), 'c_uminus'( Y, X ), X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =( 'c_uminus'(
% 1.20/1.62 'c_LOrder_Omeet'( Y, Z, X ), X ), 'c_LOrder_Ojoin'( 'c_uminus'( Y, X ),
% 1.20/1.62 'c_uminus'( Z, X ), X ) ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =(
% 1.20/1.62 'c_OrderedGroup_Onprt'( 'c_0', X ), 'c_0' ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'(
% 1.20/1.62 'c_0', Y, X ) ), =( 'c_OrderedGroup_Onprt'( Y, X ), 'c_0' ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'(
% 1.20/1.62 Y, 'c_0', X ) ), =( 'c_OrderedGroup_Onprt'( Y, X ), Y ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 'c_lessequals'(
% 1.20/1.62 'c_OrderedGroup_Onprt'( Y, X ), 'c_0', X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'(
% 1.20/1.62 Y, Z, X ) ), 'c_lessequals'( 'c_OrderedGroup_Onprt'( Y, X ),
% 1.20/1.62 'c_OrderedGroup_Onprt'( Z, X ), X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =(
% 1.20/1.62 'c_OrderedGroup_Opprt'( 'c_0', X ), 'c_0' ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'(
% 1.20/1.62 Y, 'c_0', X ) ), =( 'c_OrderedGroup_Opprt'( Y, X ), 'c_0' ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'(
% 1.20/1.62 'c_0', Y, X ) ), =( 'c_OrderedGroup_Opprt'( Y, X ), Y ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'(
% 1.20/1.62 Y, Z, X ) ), 'c_lessequals'( 'c_OrderedGroup_Opprt'( Y, X ),
% 1.20/1.62 'c_OrderedGroup_Opprt'( Z, X ), X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_plus'( Y,
% 1.20/1.62 'c_uminus'( Y, X ), X ), 'c_0' ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'(
% 1.20/1.62 'c_0', 'c_plus'( Y, Y, X ), X ) ), 'c_lessequals'( 'c_0', Y, X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'(
% 1.20/1.62 'c_0', Y, X ) ), 'c_lessequals'( 'c_0', 'c_plus'( Y, Y, X ), X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 'c_lessequals'(
% 1.20/1.62 'c_0', 'c_OrderedGroup_Opprt'( Y, X ), X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~( 'c_less'(
% 1.20/1.62 'c_0', 'c_HOL_Oabs'( 'c_0', X ), X ) ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 'c_less'(
% 1.20/1.62 'c_0', 'c_HOL_Oabs'( Y, X ), X ), =( Y, 'c_0' ) ],
% 1.20/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( 'c_Orderings_Omax'(
% 1.20/1.62 Y, Z, X ), T, X ) ), 'c_less'( Y, T, X ) ],
% 1.20/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( 'c_Orderings_Omax'(
% 1.20/1.62 Y, Z, X ), T, X ) ), 'c_less'( Z, T, X ) ],
% 1.20/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( Y, Z, X ) ), ~(
% 1.20/1.62 'c_less'( T, Z, X ) ), 'c_less'( 'c_Orderings_Omax'( T, Y, X ), Z, X ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( Y,
% 1.20/1.62 'c_Orderings_Omin'( Z, T, X ), X ) ), 'c_less'( Y, Z, X ) ],
% 1.20/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( Y,
% 1.20/1.62 'c_Orderings_Omin'( Z, T, X ), X ) ), 'c_less'( Y, T, X ) ],
% 1.20/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( Y, Z, X ) ), ~(
% 1.20/1.62 'c_less'( Y, T, X ) ), 'c_less'( Y, 'c_Orderings_Omin'( T, Z, X ), X ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y,
% 1.20/1.62 'c_Orderings_Omin'( Z, T, X ), X ) ), 'c_lessequals'( Y, Z, X ) ],
% 1.20/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y,
% 1.20/1.62 'c_Orderings_Omin'( Z, T, X ), X ) ), 'c_lessequals'( Y, T, X ) ],
% 1.20/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.20/1.62 , ~( 'c_lessequals'( Y, T, X ) ), 'c_lessequals'( Y, 'c_Orderings_Omin'(
% 1.20/1.62 T, Z, X ), X ) ],
% 1.20/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_Orderings_Omin'( Y, Y, X
% 1.20/1.62 ), Y ) ],
% 1.20/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_Orderings_Omin'( Y,
% 1.20/1.62 'c_Orderings_Omin'( Y, Z, X ), X ), 'c_Orderings_Omin'( Y, Z, X ) ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 1.20/1.62 'c_Orderings_Omax'( Y, Z, X ), T, X ) ), 'c_lessequals'( Y, T, X ) ],
% 1.20/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 1.20/1.62 'c_Orderings_Omax'( Y, Z, X ), T, X ) ), 'c_lessequals'( Z, T, X ) ],
% 1.20/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.20/1.62 , ~( 'c_lessequals'( T, Z, X ) ), 'c_lessequals'( 'c_Orderings_Omax'( T,
% 1.20/1.62 Y, X ), Z, X ) ],
% 1.20/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_Orderings_Omax'( Y, Y, X
% 1.20/1.62 ), Y ) ],
% 1.20/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_Orderings_Omax'( Y,
% 1.20/1.62 'c_Orderings_Omax'( Y, Z, X ), X ), 'c_Orderings_Omax'( Y, Z, X ) ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_less'( Y, Y, X ) ) ],
% 1.20/1.62 [ ~( 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat'
% 1.20/1.62 ) ), 'c_Parity_Oeven'( 'c_IntDef_Oint'( 'c_Numeral_Onumber__of'( X,
% 1.20/1.62 'tc_nat' ) ), 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ ~( 'c_Parity_Oeven'( 'c_IntDef_Oint'( 'c_Numeral_Onumber__of'( X,
% 1.20/1.62 'tc_nat' ) ), 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'(
% 1.20/1.62 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ) ],
% 1.20/1.62 [ ~( 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.20/1.62 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X
% 1.20/1.62 , 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.20/1.62 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.20/1.62 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_0' ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ ~( =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X,
% 1.20/1.62 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.20/1.62 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.20/1.62 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_0' ) )
% 1.20/1.62 , 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.20/1.62 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 'c_Parity_Oeven'(
% 1.20/1.62 'c_minus'( Y, X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ),
% 1.20/1.62 'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 'c_Parity_Oeven'(
% 1.20/1.62 'c_minus'( X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ),
% 1.20/1.62 'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 'c_Parity_Oeven'( Y,
% 1.20/1.62 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( 'c_minus'( Y, X, 'tc_IntDef_Oint'
% 1.20/1.62 ), 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ), 'c_Parity_Oeven'( Y,
% 1.20/1.62 'tc_IntDef_Oint' ), 'c_Parity_Oeven'( 'c_minus'( Y, X, 'tc_IntDef_Oint' )
% 1.20/1.62 , 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), ~( 'c_Parity_Oeven'( 'c_Suc'( X
% 1.20/1.62 ), 'tc_nat' ) ) ],
% 1.20/1.62 [ 'c_Parity_Oeven'( X, 'tc_nat' ), 'c_Parity_Oeven'( 'c_Suc'( X ),
% 1.20/1.62 'tc_nat' ) ],
% 1.20/1.62 [ ~( 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 'tc_nat' ), 'tc_nat' ) ),
% 1.20/1.62 'c_Parity_Oeven'( X, 'tc_nat' ) ],
% 1.20/1.62 [ ~( 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 'tc_nat' ), 'tc_nat' ) ),
% 1.20/1.62 'c_less'( 'c_0', Y, 'tc_nat' ) ],
% 1.20/1.62 [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), ~( 'c_less'( 'c_0', Y, 'tc_nat'
% 1.20/1.62 ) ), 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 'tc_nat' ), 'tc_nat' ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ ~( 'c_Parity_Oeven'( 'c_times'( X, Y, 'tc_nat' ), 'tc_nat' ) ),
% 1.20/1.62 'c_Parity_Oeven'( Y, 'tc_nat' ), 'c_Parity_Oeven'( X, 'tc_nat' ) ],
% 1.20/1.62 [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), 'c_Parity_Oeven'( 'c_times'( X,
% 1.20/1.62 Y, 'tc_nat' ), 'tc_nat' ) ],
% 1.20/1.62 [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), 'c_Parity_Oeven'( 'c_times'( Y,
% 1.20/1.62 X, 'tc_nat' ), 'tc_nat' ) ],
% 1.20/1.62 [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), ~( 'c_Parity_Oeven'( 'c_plus'( Y
% 1.20/1.62 , X, 'tc_nat' ), 'tc_nat' ) ), 'c_Parity_Oeven'( Y, 'tc_nat' ) ],
% 1.20/1.62 [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), ~( 'c_Parity_Oeven'( 'c_plus'( X
% 1.20/1.62 , Y, 'tc_nat' ), 'tc_nat' ) ), 'c_Parity_Oeven'( Y, 'tc_nat' ) ],
% 1.20/1.62 [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), ~( 'c_Parity_Oeven'( Y, 'tc_nat'
% 1.20/1.62 ) ), 'c_Parity_Oeven'( 'c_plus'( Y, X, 'tc_nat' ), 'tc_nat' ) ],
% 1.20/1.62 [ 'c_Parity_Oeven'( X, 'tc_nat' ), 'c_Parity_Oeven'( Y, 'tc_nat' ),
% 1.20/1.62 'c_Parity_Oeven'( 'c_plus'( Y, X, 'tc_nat' ), 'tc_nat' ) ],
% 1.20/1.62 [ 'c_Parity_Oeven'( 'c_0', 'tc_nat' ) ],
% 1.20/1.62 [ ~( 'c_Parity_Oeven'( 'c_uminus'( X, 'tc_IntDef_Oint' ),
% 1.20/1.62 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'(
% 1.20/1.62 'c_uminus'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ ~( 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 'tc_IntDef_Oint' ),
% 1.20/1.62 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ ~( 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 'tc_IntDef_Oint' ),
% 1.20/1.62 'tc_IntDef_Oint' ) ), 'c_less'( 'c_0', Y, 'tc_nat' ) ],
% 1.20/1.62 [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_0', Y,
% 1.20/1.62 'tc_nat' ) ), 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 'tc_IntDef_Oint' )
% 1.20/1.62 , 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ ~( 'c_Parity_Oeven'( 'c_times'( X, Y, 'tc_IntDef_Oint' ),
% 1.20/1.62 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ),
% 1.20/1.62 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'(
% 1.20/1.62 'c_times'( X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'(
% 1.20/1.62 'c_times'( Y, X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 'c_Parity_Oeven'(
% 1.20/1.62 'c_plus'( Y, X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ),
% 1.20/1.62 'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 'c_Parity_Oeven'(
% 1.20/1.62 'c_plus'( X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ),
% 1.20/1.62 'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 'c_Parity_Oeven'( Y,
% 1.20/1.62 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( 'c_plus'( Y, X, 'tc_IntDef_Oint'
% 1.20/1.62 ), 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ), 'c_Parity_Oeven'( Y,
% 1.20/1.62 'tc_IntDef_Oint' ), 'c_Parity_Oeven'( 'c_plus'( Y, X, 'tc_IntDef_Oint' )
% 1.20/1.62 , 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ 'c_Parity_Oeven'( 'c_0', 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_Parity_Oeven'( Y,
% 1.20/1.62 'tc_nat' ) ), =( 'c_Nat_Opower'( 'c_uminus'( 'c_1', X ), Y, X ), 'c_1' )
% 1.20/1.62 ],
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'c_Parity_Oeven'( Y,
% 1.20/1.62 'tc_nat' ), =( 'c_Nat_Opower'( 'c_uminus'( 'c_1', X ), Y, X ), 'c_uminus'(
% 1.20/1.62 'c_1', X ) ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'class_Power_Orecpower'( X
% 1.20/1.62 ) ), ~( 'c_Parity_Oeven'( Y, 'tc_nat' ) ), =( 'c_Nat_Opower'(
% 1.20/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), Y, X ), 'c_1' ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'class_Power_Orecpower'( X
% 1.20/1.62 ) ), 'c_Parity_Oeven'( Y, 'tc_nat' ), =( 'c_Nat_Opower'(
% 1.20/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), Y, X ),
% 1.20/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ) ) ],
% 1.20/1.62 [ =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.20/1.62 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.20/1.62 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_0' ),
% 1.20/1.62 =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.20/1.62 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.20/1.62 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_1' ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ ~( =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'(
% 1.20/1.62 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.20/1.62 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ),
% 1.20/1.62 'tc_IntDef_Oint' ), 'c_0' ) ), ~( =( 'c_Divides_Oop_Amod'( X,
% 1.20/1.62 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.20/1.62 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.20/1.62 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_1' ) ) ],
% 1.20/1.62 [ ~( 'c_Parity_Oeven'( 'c_1', 'tc_IntDef_Oint' ) ) ],
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~( =( 'c_Numeral_Onumber__of'( Y,
% 1.20/1.62 'tc_nat' ), 'c_0' ) ), =( 'c_Nat_Opower'( 'c_0', 'c_Numeral_Onumber__of'(
% 1.20/1.62 Y, 'tc_nat' ), X ), 'c_1' ) ],
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( 'c_0',
% 1.20/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0' ), =(
% 1.20/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_0' ) ],
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_Nat_Opower'( Y,
% 1.20/1.62 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0' ) ), =( Y, 'c_0' ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_Nat_Opower'( Y,
% 1.20/1.62 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0' ) ), 'c_less'( 'c_0',
% 1.20/1.62 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ) ],
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0',
% 1.20/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), =( 'c_Nat_Opower'(
% 1.20/1.62 'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0' ) ],
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'(
% 1.20/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), =( 'c_Nat_Opower'(
% 1.20/1.62 'c_HOL_Oabs'( Z, X ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ),
% 1.20/1.62 'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ) ) ],
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.20/1.62 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0', X
% 1.20/1.62 ) ), ~( =( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'c_0' ) ) ],
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'(
% 1.20/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), ~( 'c_lessequals'(
% 1.20/1.62 'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0', X
% 1.20/1.62 ) ), =( Z, 'c_0' ) ],
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.20/1.62 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0', X
% 1.20/1.62 ) ), 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat'
% 1.20/1.62 ), 'c_lessequals'( Y, 'c_0', X ) ],
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.20/1.62 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0', X
% 1.20/1.62 ) ), 'c_lessequals'( Y, 'c_0', X ), =( Y, 'c_0' ) ],
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( Y,
% 1.20/1.62 'c_0', X ) ), 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ),
% 1.20/1.62 'tc_nat' ), 'c_lessequals'( 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z
% 1.20/1.62 , 'tc_nat' ), X ), 'c_0', X ), =( 'c_Numeral_Onumber__of'( Z, 'tc_nat' )
% 1.20/1.62 , 'c_0' ) ],
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'(
% 1.20/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), 'c_lessequals'(
% 1.20/1.62 'c_Nat_Opower'( 'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0'
% 1.20/1.62 , X ), =( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_0' ) ],
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'(
% 1.20/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), ~( 'c_less'(
% 1.20/1.62 'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0', X
% 1.20/1.62 ) ) ],
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'(
% 1.20/1.62 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0', X
% 1.20/1.62 ) ), 'c_less'( Y, 'c_0', X ) ],
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.20/1.62 ) ), 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat'
% 1.20/1.62 ), 'c_less'( 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ),
% 1.20/1.62 X ), 'c_0', X ) ],
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_Parity_Oeven'( Y,
% 1.20/1.62 'tc_nat' ) ), =( 'c_Nat_Opower'( 'c_uminus'( Z, X ), Y, X ),
% 1.20/1.62 'c_Nat_Opower'( Z, Y, X ) ) ],
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'c_Parity_Oeven'( Y,
% 1.20/1.62 'tc_nat' ), =( 'c_Nat_Opower'( 'c_uminus'( Z, X ), Y, X ), 'c_uminus'(
% 1.20/1.62 'c_Nat_Opower'( Z, Y, X ), X ) ) ],
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.20/1.62 , 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), X ) ),
% 1.20/1.62 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ),
% 1.20/1.62 'c_lessequals'( 'c_0', Y, X ) ],
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'(
% 1.20/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), 'c_lessequals'(
% 1.20/1.62 'c_0', 'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), X
% 1.20/1.62 ) ],
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.20/1.62 , Y, X ) ), 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ),
% 1.20/1.62 'tc_nat' ), 'c_lessequals'( 'c_0', 'c_Nat_Opower'( Y,
% 1.20/1.62 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), X ) ],
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0',
% 1.20/1.62 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), X ) ),
% 1.20/1.62 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ),
% 1.20/1.62 'c_less'( 'c_0', Y, X ), =( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'c_0'
% 1.20/1.62 ) ],
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'(
% 1.20/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), ~( 'c_less'( 'c_0'
% 1.20/1.62 , 'c_Nat_Opower'( 'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), X )
% 1.20/1.62 ), =( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_0' ) ],
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0',
% 1.20/1.62 'c_Nat_Opower'( 'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), X ) )
% 1.20/1.62 , 'c_less'( 'c_0', 'c_0', X ), =( 'c_Numeral_Onumber__of'( Y, 'tc_nat' )
% 1.20/1.62 , 'c_0' ) ],
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.20/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_0' ) ), 'c_less'( 'c_0',
% 1.20/1.62 'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), X ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'(
% 1.20/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), 'c_less'( 'c_0',
% 1.20/1.62 'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), X ), =( Z
% 1.20/1.62 , 'c_0' ) ],
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.20/1.62 ) ), 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat'
% 1.20/1.62 ), 'c_less'( 'c_0', 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z,
% 1.20/1.62 'tc_nat' ), X ), X ) ],
% 1.20/1.62 [ ~( 'c_less'( 'c_0', 'c_Nat_Opower'( X, 'c_Numeral_Onumber__of'( Y,
% 1.20/1.62 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ), 'c_less'( 'c_0', X, 'tc_nat' ), =(
% 1.20/1.62 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_0' ) ],
% 1.20/1.62 [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ), 'c_less'(
% 1.20/1.62 'c_0', 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.20/1.62 'tc_nat' ), 'tc_nat' ) ],
% 1.20/1.62 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_Nat_Opower'(
% 1.20/1.62 X, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ],
% 1.20/1.62 [ ~( 'c_lessequals'( 'c_1', X, 'tc_nat' ) ), 'c_lessequals'( 'c_Suc'(
% 1.20/1.62 'c_0' ), 'c_Nat_Opower'( X, Y, 'tc_nat' ), 'tc_nat' ) ],
% 1.20/1.62 [ ~( 'c_less'( 'c_0', 'c_Nat_Opower'( 'c_0', X, 'tc_nat' ), 'tc_nat' ) )
% 1.20/1.62 , =( X, 'c_0' ) ],
% 1.20/1.62 [ 'c_less'( 'c_0', 'c_Nat_Opower'( X, Y, 'tc_nat' ), 'tc_nat' ), =( X,
% 1.20/1.62 'c_0' ) ],
% 1.20/1.62 [ 'c_less'( 'c_0', 'c_Nat_Opower'( X, 'c_0', 'tc_nat' ), 'tc_nat' ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ =( 'c_Nat_Opower'( X, 'c_0', 'tc_nat' ), 'c_1' ) ],
% 1.20/1.62 [ =( 'c_Nat_Opower'( X, 'c_Suc'( Y ), 'tc_nat' ), 'c_times'( X,
% 1.20/1.62 'c_Nat_Opower'( X, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( 'c_0', 'c_Suc'(
% 1.20/1.62 Y ), X ), 'c_0' ) ],
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_Nat_Opower'( Y,
% 1.20/1.62 Z, X ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_Nat_Opower'( Y,
% 1.20/1.62 Z, X ), 'c_0' ) ), 'c_less'( 'c_0', Z, 'tc_nat' ) ],
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0', Y,
% 1.20/1.62 'tc_nat' ) ), =( 'c_Nat_Opower'( 'c_0', Y, X ), 'c_0' ) ],
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( 'c_1', Y
% 1.20/1.62 , X ) ), ~( 'c_lessequals'( 'c_Nat_Opower'( Y, Z, X ), 'c_Nat_Opower'( Y
% 1.20/1.62 , T, X ), X ) ), 'c_lessequals'( Z, T, 'tc_nat' ) ],
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( 'c_1', Y
% 1.20/1.62 , X ) ), ~( 'c_lessequals'( Z, T, 'tc_nat' ) ), 'c_lessequals'(
% 1.20/1.62 'c_Nat_Opower'( Y, Z, X ), 'c_Nat_Opower'( Y, T, X ), X ) ],
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( 'c_1', Y
% 1.20/1.62 , X ) ), ~( =( 'c_Nat_Opower'( Y, Z, X ), 'c_Nat_Opower'( Y, T, X ) ) ),
% 1.20/1.62 =( Z, T ) ],
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( 'c_1', Y, X ),
% 1.20/1.62 'c_1' ) ],
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( Y, 'c_1', X ), Y
% 1.20/1.62 ) ],
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( 'c_1', Y
% 1.20/1.62 , X ) ), ~( 'c_less'( 'c_Nat_Opower'( Y, Z, X ), 'c_Nat_Opower'( Y, T, X
% 1.20/1.62 ), X ) ), 'c_less'( Z, T, 'tc_nat' ) ],
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( Y, Z,
% 1.20/1.62 'tc_nat' ) ), ~( 'c_less'( 'c_1', T, X ) ), 'c_less'( 'c_Nat_Opower'( T,
% 1.20/1.62 Y, X ), 'c_Nat_Opower'( T, Z, X ), X ) ],
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( Y, 'c_0', X ),
% 1.20/1.62 'c_1' ) ],
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 'c_0',
% 1.20/1.62 'c_Nat_Opower'( 'c_HOL_Oabs'( Y, X ), Z, X ), X ) ],
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0',
% 1.20/1.62 'c_Nat_Opower'( 'c_HOL_Oabs'( 'c_0', X ), Y, X ), X ) ), =( Y, 'c_0' ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_less'( 'c_0',
% 1.20/1.62 'c_Nat_Opower'( 'c_HOL_Oabs'( Y, X ), Z, X ), X ), =( Y, 'c_0' ) ],
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_less'( 'c_0',
% 1.20/1.62 'c_Nat_Opower'( 'c_HOL_Oabs'( Y, X ), 'c_0', X ), X ) ],
% 1.20/1.62 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( X, U ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( Y, W ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ =( 'c_fst'( 'c_Pair'( X, Y, Z, T ), Z, T ), X ) ],
% 1.20/1.62 [ =( 'c_Pair'( 'c_fst'( X, Y, Z ), 'c_snd'( X, Y, Z ), Y, Z ), X ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ =( 'c_snd'( 'c_Pair'( X, Y, Z, T ), Z, T ), Y ) ],
% 1.20/1.62 [ =( X, 'c_Pair'( 'c_Main_Osurj__pair__1'( X, Y, Z ),
% 1.20/1.62 'c_Main_Osurj__pair__2'( X, Y, Z ), Y, Z ) ) ],
% 1.20/1.62 [ =( 'c_Relation_ODomain'( 'c_Relation_OId', X, X ), 'c_UNIV' ) ],
% 1.20/1.62 [ =( 'c_Relation_ODomain'( 'c_Relation_Odiag'( X, Y ), Y, Y ), X ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ =( 'c_Relation_ODomain'( 'c_emptyset', X, Y ), 'c_emptyset' ) ],
% 1.20/1.62 [ =( 'c_Relation_Orel__comp'( 'c_Relation_OId', X, Y, Y, Z ), X ) ],
% 1.20/1.62 [ =( 'c_Relation_OImage'( 'c_Relation_OId', X, Y, Y ), X ) ],
% 1.20/1.62 [ =( 'c_Relation_OImage'( 'c_Relation_Odiag'( X, Y ), Z, Y, Y ),
% 1.20/1.62 'c_inter'( X, Z, Y ) ) ],
% 1.20/1.62 [ =( 'c_Relation_OImage'( X, 'c_emptyset', Y, Z ), 'c_emptyset' ) ],
% 1.20/1.62 [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, 'c_insert'( Z, 'c_emptyset', T )
% 1.20/1.62 , T, U ), U ) ), 'c_in'( 'c_Pair'( Z, X, T, U ), Y, 'tc_prod'( T, U ) ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'( Y
% 1.20/1.62 , 'c_Relation_OImage'( U, 'c_insert'( X, 'c_emptyset', Z ), Z, T ), T ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ =( 'c_Relation_Orel__comp'( X, 'c_Relation_OId', Y, Z, Y ), X ) ],
% 1.20/1.62 [ =( 'c_Relation_ORange'( 'c_Relation_OId', X, X ), 'c_UNIV' ) ],
% 1.20/1.62 [ =( 'c_Relation_ORange'( 'c_Relation_Odiag'( X, Y ), Y, Y ), X ) ],
% 1.20/1.62 [ =( 'c_Relation_ORange'( 'c_emptyset', X, Y ), 'c_emptyset' ) ],
% 1.20/1.62 [ =( 'c_Relation_Oconverse'( 'c_Relation_OId', X, X ), 'c_Relation_OId'
% 1.20/1.62 ) ],
% 1.20/1.62 [ =( 'c_Relation_Oconverse'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 1.20/1.62 X ) ],
% 1.20/1.62 [ =( 'c_Relation_Oconverse'( 'c_Relation_Odiag'( X, Y ), Y, Y ),
% 1.20/1.62 'c_Relation_Odiag'( X, Y ) ) ],
% 1.20/1.62 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Oconverse'( U, T, Z ),
% 1.20/1.62 'tc_prod'( Z, T ) ) ), 'c_in'( 'c_Pair'( Y, X, T, Z ), U, 'tc_prod'( T, Z
% 1.20/1.62 ) ) ],
% 1.20/1.62 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'(
% 1.20/1.62 'c_Pair'( Y, X, T, Z ), 'c_Relation_Oconverse'( U, Z, T ), 'tc_prod'( T,
% 1.20/1.62 Z ) ) ],
% 1.20/1.62 [ =( 'c_Relation_Odiag'( 'c_emptyset', X ), 'c_emptyset' ) ],
% 1.20/1.62 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId', 'tc_prod'( Z, Z )
% 1.20/1.62 ) ), =( X, Y ) ],
% 1.20/1.62 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId', 'tc_prod'( Y, Y ) )
% 1.20/1.62 ],
% 1.20/1.62 [ =( 'c_Nat_Opower'( X, 'c_1', 'tc_set'( 'tc_prod'( Y, Y ) ) ), X ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ =( 'c_Nat_Opower'( X, 'c_0', 'tc_set'( 'tc_prod'( Y, Y ) ) ),
% 1.20/1.62 'c_Relation_OId' ) ],
% 1.20/1.62 [ =( 'c_Nat_Opower'( X, 'c_Suc'( Y ), 'tc_set'( 'tc_prod'( Z, Z ) ) ),
% 1.20/1.62 'c_Relation_Orel__comp'( X, 'c_Nat_Opower'( X, Y, 'tc_set'( 'tc_prod'( Z
% 1.20/1.62 , Z ) ) ), Z, Z, Z ) ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), =( 'c_HOL_Oabs'(
% 1.20/1.62 'c_divide'( Y, Z, X ), X ), 'c_divide'( 'c_HOL_Oabs'( Y, X ),
% 1.20/1.62 'c_HOL_Oabs'( Z, X ), X ) ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), =( 'c_HOL_Oabs'(
% 1.20/1.62 'c_HOL_Oinverse'( Y, X ), X ), 'c_HOL_Oinverse'( 'c_HOL_Oabs'( Y, X ), X
% 1.20/1.62 ) ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 'c_HOL_Oabs'(
% 1.20/1.62 'c_1', X ), 'c_1' ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ), ~( =( 'c_0',
% 1.20/1.62 'c_1' ) ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y, 'c_1', X
% 1.20/1.62 ), Y ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_divide'( Y, Z, X ),
% 1.20/1.62 'c_divide'( Y, T, X ) ) ), =( Z, T ), =( Y, 'c_0' ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_0', Y, X ),
% 1.20/1.62 'c_divide'( 'c_0', Z, X ) ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_divide'( Y, Z, X ),
% 1.20/1.62 'c_divide'( T, Z, X ) ) ), =( Y, T ), =( Z, 'c_0' ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y, 'c_0', X ),
% 1.20/1.62 'c_divide'( Z, 'c_0', X ) ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_divide'( Y, Z,
% 1.20/1.62 X ), T, X ), 'c_divide'( Y, 'c_times'( Z, T, X ), X ) ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y, 'c_divide'( Z,
% 1.20/1.62 T, X ), X ), 'c_divide'( 'c_times'( Y, T, X ), Z, X ) ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_divide'( Y, Z, X ),
% 1.20/1.62 'c_0' ) ), =( Z, 'c_0' ), =( Y, 'c_0' ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_0', Y, X ),
% 1.20/1.62 'c_0' ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y, 'c_0', X ),
% 1.20/1.62 'c_0' ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_divide'( Y, Z, X ),
% 1.20/1.62 'c_1' ) ), =( Y, Z ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_divide'( Y,
% 1.20/1.62 'c_0', X ), 'c_1' ) ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_divide'( Y, Z,
% 1.20/1.62 X ), 'c_1' ) ), =( Z, Y ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), =( Y, 'c_0' ), =(
% 1.20/1.62 'c_divide'( Y, Y, X ), 'c_1' ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'(
% 1.20/1.62 'c_divide'( 'c_1', Y, X ), 'c_0', X ) ), 'c_lessequals'( Y, 'c_0', X ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.20/1.62 'c_0', X ) ), 'c_lessequals'( 'c_divide'( 'c_1', Y, X ), 'c_0', X ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.20/1.62 ) ), ~( 'c_lessequals'( 'c_divide'( Z, Y, X ), 'c_1', X ) ),
% 1.20/1.62 'c_lessequals'( Y, Z, X ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.20/1.62 ) ), ~( 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_divide'( Z, Y, X
% 1.20/1.62 ), 'c_1', X ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.20/1.62 ) ), ~( 'c_lessequals'( 'c_divide'( Z, Y, X ), 'c_1', X ) ),
% 1.20/1.62 'c_lessequals'( Z, Y, X ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.20/1.62 ) ), ~( 'c_lessequals'( Z, Y, X ) ), 'c_lessequals'( 'c_divide'( Z, Y, X
% 1.20/1.62 ), 'c_1', X ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'(
% 1.20/1.62 'c_1', Y, X ), 'c_0', X ) ), 'c_less'( Y, 'c_0', X ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.20/1.62 ) ), 'c_less'( 'c_divide'( 'c_1', Y, X ), 'c_0', X ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.20/1.62 ) ), ~( 'c_less'( 'c_divide'( Z, Y, X ), 'c_1', X ) ), 'c_less'( Y, Z, X
% 1.20/1.62 ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z, X ) )
% 1.20/1.62 , ~( 'c_less'( Y, 'c_0', X ) ), 'c_less'( 'c_divide'( Z, Y, X ), 'c_1', X
% 1.20/1.62 ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.20/1.62 ) ), ~( 'c_less'( 'c_divide'( Z, Y, X ), 'c_1', X ) ), 'c_less'( Z, Y, X
% 1.20/1.62 ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z, X ) )
% 1.20/1.62 , ~( 'c_less'( 'c_0', Z, X ) ), 'c_less'( 'c_divide'( Y, Z, X ), 'c_1', X
% 1.20/1.62 ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_uminus'(
% 1.20/1.62 Y, X ), Z, X ), 'c_uminus'( 'c_divide'( Y, Z, X ), X ) ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y, 'c_uminus'( Z,
% 1.20/1.62 X ), X ), 'c_uminus'( 'c_divide'( Y, Z, X ), X ) ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_0', 'c_0', X )
% 1.20/1.62 , 'c_0' ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_1', 'c_divide'(
% 1.20/1.62 Y, 'c_0', X ) ) ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_1', 'c_divide'(
% 1.20/1.62 Y, Z, X ) ) ), =( Z, Y ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), =( Y, 'c_0' ), =( 'c_1'
% 1.20/1.62 , 'c_divide'( Y, Y, X ) ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_times'(
% 1.20/1.62 'c_HOL_Oinverse'( Y, X ), Y, X ), 'c_1' ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_times'( Y, Z, X )
% 1.20/1.62 , 'c_times'( Y, T, X ) ) ), =( Z, T ), =( Y, 'c_0' ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( 'c_0', Y, X )
% 1.20/1.62 , 'c_times'( 'c_0', Z, X ) ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_times'( Y, Z, X )
% 1.20/1.62 , 'c_times'( T, Z, X ) ) ), =( Y, T ), =( Z, 'c_0' ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( Y, 'c_0', X )
% 1.20/1.62 , 'c_times'( Z, 'c_0', X ) ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'( 'c_divide'(
% 1.20/1.62 Y, Z, X ), X ), 'c_divide'( Z, Y, X ) ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_HOL_Oinverse'( Y, X ),
% 1.20/1.62 'c_1' ) ), =( Y, 'c_1' ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'( 'c_1', X ),
% 1.20/1.62 'c_1' ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_HOL_Oinverse'( Y, X ),
% 1.20/1.62 'c_HOL_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'(
% 1.20/1.62 'c_HOL_Oinverse'( Y, X ), X ), Y ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0'
% 1.20/1.62 , Y, X ) ), ~( 'c_less'( 'c_0', Z, X ) ), ~( 'c_lessequals'(
% 1.20/1.62 'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) ), 'c_lessequals'(
% 1.20/1.62 Y, Z, X ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0'
% 1.20/1.62 , Y, X ) ), ~( 'c_less'( 'c_0', Z, X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.20/1.62 , 'c_lessequals'( 'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X )
% 1.20/1.62 ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.20/1.62 'c_0', X ) ), ~( 'c_less'( Z, 'c_0', X ) ), ~( 'c_lessequals'(
% 1.20/1.62 'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) ), 'c_lessequals'(
% 1.20/1.62 Y, Z, X ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.20/1.62 'c_0', X ) ), ~( 'c_less'( Z, 'c_0', X ) ), ~( 'c_lessequals'( Y, Z, X )
% 1.20/1.62 ), 'c_lessequals'( 'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X
% 1.20/1.62 ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0'
% 1.20/1.62 , Y, X ) ), ~( 'c_less'( 'c_0', Z, X ) ), ~( 'c_less'( 'c_HOL_Oinverse'(
% 1.20/1.62 Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) ), 'c_less'( Y, Z, X ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z
% 1.20/1.62 , X ) ), ~( 'c_less'( 'c_0', Y, X ) ), ~( 'c_less'( 'c_0', Z, X ) ),
% 1.20/1.62 'c_less'( 'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.20/1.62 'c_0', X ) ), ~( 'c_less'( Z, 'c_0', X ) ), ~( 'c_less'( 'c_HOL_Oinverse'(
% 1.20/1.62 Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) ), 'c_less'( Y, Z, X ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z
% 1.20/1.62 , X ) ), ~( 'c_less'( Y, 'c_0', X ) ), ~( 'c_less'( Z, 'c_0', X ) ),
% 1.20/1.62 'c_less'( 'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'( 'c_uminus'(
% 1.20/1.62 Y, X ), X ), 'c_uminus'( 'c_HOL_Oinverse'( Y, X ), X ) ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'( 'c_times'( Y
% 1.20/1.62 , Z, X ), X ), 'c_times'( 'c_HOL_Oinverse'( Y, X ), 'c_HOL_Oinverse'( Z,
% 1.20/1.62 X ), X ) ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.20/1.62 'c_HOL_Oinverse'( Y, X ), 'c_0', X ) ), 'c_less'( Y, 'c_0', X ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.20/1.62 ) ), 'c_less'( 'c_HOL_Oinverse'( Y, X ), 'c_0', X ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.20/1.62 , 'c_HOL_Oinverse'( Y, X ), X ) ), 'c_lessequals'( 'c_0', Y, X ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.20/1.62 , Y, X ) ), 'c_lessequals'( 'c_0', 'c_HOL_Oinverse'( Y, X ), X ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'(
% 1.20/1.62 'c_HOL_Oinverse'( Y, X ), 'c_0', X ) ), 'c_lessequals'( Y, 'c_0', X ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.20/1.62 'c_0', X ) ), 'c_lessequals'( 'c_HOL_Oinverse'( Y, X ), 'c_0', X ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_HOL_Oinverse'( Y, X ),
% 1.20/1.62 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'( 'c_0', X ),
% 1.20/1.62 'c_0' ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.20/1.62 'c_HOL_Oinverse'( Y, X ), X ) ), 'c_less'( 'c_0', Y, X ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.20/1.62 ) ), 'c_less'( 'c_0', 'c_HOL_Oinverse'( Y, X ), X ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.20/1.62 ) ), ~( 'c_lessequals'( 'c_1', 'c_divide'( Z, Y, X ), X ) ),
% 1.20/1.62 'c_lessequals'( Z, Y, X ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.20/1.62 ) ), ~( 'c_lessequals'( Z, Y, X ) ), 'c_lessequals'( 'c_1', 'c_divide'(
% 1.20/1.62 Z, Y, X ), X ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.20/1.62 ) ), ~( 'c_lessequals'( 'c_1', 'c_divide'( Z, Y, X ), X ) ),
% 1.20/1.62 'c_lessequals'( Y, Z, X ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.20/1.62 ) ), ~( 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_1', 'c_divide'(
% 1.20/1.62 Z, Y, X ), X ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.20/1.62 ) ), ~( 'c_less'( 'c_1', 'c_divide'( Z, Y, X ), X ) ), 'c_less'( Z, Y, X
% 1.20/1.62 ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z, X ) )
% 1.20/1.62 , ~( 'c_less'( Z, 'c_0', X ) ), 'c_less'( 'c_1', 'c_divide'( Y, Z, X ), X
% 1.20/1.62 ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.20/1.62 ) ), ~( 'c_less'( 'c_1', 'c_divide'( Z, Y, X ), X ) ), 'c_less'( Y, Z, X
% 1.20/1.62 ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z, X ) )
% 1.20/1.62 , ~( 'c_less'( 'c_0', Y, X ) ), 'c_less'( 'c_1', 'c_divide'( Z, Y, X ), X
% 1.20/1.62 ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_uminus'( Y, X )
% 1.20/1.62 , 'c_uminus'( Z, X ), X ), 'c_divide'( Y, Z, X ) ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 'c_times'( 'c_uminus'( Y
% 1.20/1.62 , X ), 'c_uminus'( Z, X ), X ), 'c_times'( Y, Z, X ) ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( Y, 'c_times'(
% 1.20/1.62 Y, Z, X ) ) ), =( Y, 'c_0' ), =( Z, 'c_1' ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 'c_0', 'c_times'(
% 1.20/1.62 'c_0', Y, X ) ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 'c_times'( Y
% 1.20/1.62 , 'c_1', X ) ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_times'( Y
% 1.20/1.62 , Z, X ), Y ) ), =( Y, 'c_0' ), =( Z, 'c_1' ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( Y, 'c_times'(
% 1.20/1.62 Z, Y, X ) ) ), =( Y, 'c_0' ), =( Z, 'c_1' ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 'c_0', 'c_times'(
% 1.20/1.62 Y, 'c_0', X ) ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 'c_times'(
% 1.20/1.62 'c_1', Y, X ) ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_times'( Y
% 1.20/1.62 , Z, X ), Z ) ), =( Z, 'c_0' ), =( Y, 'c_1' ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_0', 'c_times'(
% 1.20/1.62 'c_0', Y, X ), X ), 'c_0' ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'( Y,
% 1.20/1.62 'c_times'( Y, Z, X ), X ), 'c_divide'( 'c_1', Z, X ) ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_times'( 'c_0',
% 1.20/1.62 Y, X ), 'c_0', X ), 'c_0' ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'(
% 1.20/1.62 'c_times'( Y, Z, X ), Y, X ), Z ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_times'( 'c_0',
% 1.20/1.62 Y, X ), 'c_times'( 'c_0', Z, X ), X ), 'c_0' ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'(
% 1.20/1.62 'c_times'( Y, Z, X ), 'c_times'( Y, T, X ), X ), 'c_divide'( Z, T, X ) )
% 1.20/1.62 ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_0', 'c_times'(
% 1.20/1.62 Y, 'c_0', X ), X ), 'c_0' ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'( Y,
% 1.20/1.62 'c_times'( Z, Y, X ), X ), 'c_divide'( 'c_1', Z, X ) ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_times'( Y,
% 1.20/1.62 'c_0', X ), 'c_0', X ), 'c_0' ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'(
% 1.20/1.62 'c_times'( Z, Y, X ), Y, X ), Z ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_times'( Y,
% 1.20/1.62 'c_0', X ), 'c_times'( Z, 'c_0', X ), X ), 'c_0' ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'(
% 1.20/1.62 'c_times'( Z, Y, X ), 'c_times'( T, Y, X ), X ), 'c_divide'( Z, T, X ) )
% 1.20/1.62 ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 1.20/1.62 'c_times'( Y, Z, X ), 'c_0' ) ), =( Z, 'c_0' ), =( Y, 'c_0' ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 'c_times'( 'c_uminus'( Y
% 1.20/1.62 , X ), Z, X ), 'c_uminus'( 'c_times'( Y, Z, X ), X ) ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 'c_times'( Y, 'c_uminus'(
% 1.20/1.62 Z, X ), X ), 'c_uminus'( 'c_times'( Y, Z, X ), X ) ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), =( 'c_times'(
% 1.20/1.62 'c_0', Y, X ), 'c_0' ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), =( 'c_times'(
% 1.20/1.62 Y, 'c_0', X ), 'c_0' ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.20/1.62 'c_lessequals'( 'c_1', 'c_0', X ) ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'(
% 1.20/1.62 'c_1', 'c_0', X ) ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_divide'( 'c_1'
% 1.20/1.62 , Y, X ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), =( 'c_divide'( 'c_1',
% 1.20/1.62 'c_0', X ), 'c_0' ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_1', 'c_divide'( Y, Z, X
% 1.20/1.62 ) ) ), =( Y, Z ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ), ~( =( 'c_1',
% 1.20/1.62 'c_0' ) ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_less'( 'c_0'
% 1.20/1.62 , 'c_1', X ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_times'(
% 1.20/1.62 Y, 'c_HOL_Oinverse'( Y, X ), X ), 'c_1' ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( Y, 'c_divide'(
% 1.20/1.62 Z, T, X ), X ), 'c_divide'( 'c_times'( Y, Z, X ), T, X ) ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( 'c_divide'( Y
% 1.20/1.62 , Z, X ), T, X ), 'c_divide'( 'c_times'( Y, T, X ), Z, X ) ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( 'c_divide'( Y,
% 1.20/1.62 'c_0', X ), 'c_0', X ), 'c_0' ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_times'(
% 1.20/1.62 'c_divide'( Z, Y, X ), Y, X ), Z ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( 'c_0', 'c_divide'(
% 1.20/1.62 Y, 'c_0', X ), X ), 'c_0' ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_times'( Y,
% 1.20/1.62 'c_divide'( Z, Y, X ), X ), Z ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_0', 'c_divide'(
% 1.20/1.62 'c_1', Y, X ) ) ), =( Y, 'c_0' ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), =( 'c_0', 'c_divide'(
% 1.20/1.62 'c_1', 'c_0', X ) ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.20/1.62 , 'c_divide'( 'c_1', Y, X ), X ) ), 'c_lessequals'( 'c_0', Y, X ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.20/1.62 , Y, X ) ), 'c_lessequals'( 'c_0', 'c_divide'( 'c_1', Y, X ), X ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.20/1.62 'c_0', 'c_1', X ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.20/1.62 'c_divide'( 'c_1', Y, X ), X ) ), 'c_less'( 'c_0', Y, X ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.20/1.62 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.20/1.62 ) ), 'c_less'( 'c_0', 'c_divide'( 'c_1', Y, X ), X ) ],
% 1.20/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_uminus'(
% 1.20/1.62 'c_SetInterval_OatLeast'( Y, X ), 'tc_set'( X ) ),
% 1.20/1.62 'c_SetInterval_OlessThan'( Y, X ) ) ],
% 1.20/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_uminus'(
% 1.20/1.62 'c_SetInterval_OatMost'( Y, X ), 'tc_set'( X ) ),
% 1.20/1.62 'c_SetInterval_OgreaterThan'( Y, X ) ) ],
% 1.20/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_uminus'(
% 1.20/1.62 'c_SetInterval_OgreaterThan'( Y, X ), 'tc_set'( X ) ),
% 1.20/1.62 'c_SetInterval_OatMost'( Y, X ) ) ],
% 1.20/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_uminus'(
% 1.20/1.62 'c_SetInterval_OlessThan'( Y, X ), 'tc_set'( X ) ),
% 1.20/1.62 'c_SetInterval_OatLeast'( Y, X ) ) ],
% 1.20/1.62 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_less'( Y, Z, X ) ), =(
% 1.20/1.62 'c_SetInterval_OatLeastAtMost'( Z, Y, X ), 'c_emptyset' ) ],
% 1.20/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.20/1.62 'c_SetInterval_OatLeastAtMost'( Z, T, X ), X ) ), 'c_lessequals'( Z, Y, X
% 1.20/1.62 ) ],
% 1.20/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.20/1.62 'c_SetInterval_OatLeastAtMost'( Z, T, X ), X ) ), 'c_lessequals'( Y, T, X
% 1.20/1.62 ) ],
% 1.20/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ), ~(
% 1.20/1.62 'c_lessequals'( T, Y, X ) ), 'c_in'( Y, 'c_SetInterval_OatLeastAtMost'( T
% 1.20/1.62 , Z, X ), X ) ],
% 1.20/1.62 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_SetInterval_OatLeastAtMost'(
% 1.20/1.62 Y, Y, X ), 'c_insert'( Y, 'c_emptyset', X ) ) ],
% 1.20/1.62 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ),
% 1.20/1.62 =( 'c_SetInterval_OatLeastLessThan'( Z, Y, X ), 'c_emptyset' ) ],
% 1.20/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.20/1.62 'c_SetInterval_OatLeastLessThan'( Z, T, X ), X ) ), 'c_lessequals'( Z, Y
% 1.20/1.62 , X ) ],
% 1.20/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.20/1.62 'c_SetInterval_OatLeastLessThan'( Z, T, X ), X ) ), 'c_less'( Y, T, X ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X ) ), ~(
% 1.20/1.62 'c_lessequals'( T, Y, X ) ), 'c_in'( Y, 'c_SetInterval_OatLeastLessThan'(
% 1.20/1.62 T, Z, X ), X ) ],
% 1.20/1.62 [ =( 'c_SetInterval_OatLeastLessThan'( X, 'c_Suc'( X ), 'tc_nat' ),
% 1.20/1.62 'c_insert'( X, 'c_emptyset', 'tc_nat' ) ) ],
% 1.20/1.62 [ =( 'c_SetInterval_OatLeast'( 'c_0', 'tc_nat' ), 'c_UNIV' ) ],
% 1.20/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 'c_SetInterval_OatLeast'(
% 1.20/1.62 Y, X ), 'c_SetInterval_OatLeast'( Z, X ) ) ), =( Y, Z ) ],
% 1.20/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.20/1.62 'c_SetInterval_OatLeast'( Z, X ), X ) ), 'c_lessequals'( Z, Y, X ) ],
% 1.20/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ),
% 1.20/1.62 'c_in'( Z, 'c_SetInterval_OatLeast'( Y, X ), X ) ],
% 1.20/1.62 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'(
% 1.20/1.62 'c_SetInterval_OatLeast'( Y, X ), 'c_SetInterval_OatLeast'( Z, X ),
% 1.20/1.62 'tc_set'( X ) ) ), 'c_lessequals'( Z, Y, X ) ],
% 1.20/1.62 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ),
% 1.20/1.62 'c_lessequals'( 'c_SetInterval_OatLeast'( Z, X ),
% 1.20/1.62 'c_SetInterval_OatLeast'( Y, X ), 'tc_set'( X ) ) ],
% 1.20/1.62 [ =( 'c_SetInterval_OatMost'( 'c_0', 'tc_nat' ), 'c_insert'( 'c_0',
% 1.20/1.62 'c_emptyset', 'tc_nat' ) ) ],
% 1.20/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 'c_SetInterval_OatMost'(
% 1.20/1.62 Y, X ), 'c_SetInterval_OatMost'( Z, X ) ) ), =( Y, Z ) ],
% 1.20/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.20/1.62 'c_SetInterval_OatMost'( Z, X ), X ) ), 'c_lessequals'( Y, Z, X ) ],
% 1.20/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ),
% 1.20/1.62 'c_in'( Y, 'c_SetInterval_OatMost'( Z, X ), X ) ],
% 1.20/1.62 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'(
% 1.20/1.62 'c_SetInterval_OatMost'( Y, X ), 'c_SetInterval_OatMost'( Z, X ),
% 1.20/1.62 'tc_set'( X ) ) ), 'c_lessequals'( Y, Z, X ) ],
% 1.20/1.62 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ),
% 1.20/1.62 'c_lessequals'( 'c_SetInterval_OatMost'( Y, X ), 'c_SetInterval_OatMost'(
% 1.20/1.62 Z, X ), 'tc_set'( X ) ) ],
% 1.20/1.62 [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OatLeastAtMost'( X, Y,
% 1.20/1.62 'tc_nat' ), 'tc_nat' ), 'c_minus'( 'c_Suc'( Y ), X, 'tc_nat' ) ) ],
% 1.20/1.62 [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OatLeastAtMost'( X, Y,
% 1.20/1.62 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_IntDef_Onat'( 'c_plus'(
% 1.20/1.62 'c_minus'( Y, X, 'tc_IntDef_Oint' ), 'c_1', 'tc_IntDef_Oint' ) ) ) ],
% 1.20/1.62 [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OatLeastLessThan'( X, Y,
% 1.20/1.62 'tc_nat' ), 'tc_nat' ), 'c_minus'( Y, X, 'tc_nat' ) ) ],
% 1.20/1.62 [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OatLeastLessThan'( X, Y,
% 1.20/1.62 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_IntDef_Onat'( 'c_minus'( Y, X
% 1.20/1.62 , 'tc_IntDef_Oint' ) ) ) ],
% 1.20/1.62 [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OatMost'( X, 'tc_nat' ),
% 1.20/1.62 'tc_nat' ), 'c_Suc'( X ) ) ],
% 1.20/1.62 [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OgreaterThanAtMost'( X, Y,
% 1.20/1.62 'tc_nat' ), 'tc_nat' ), 'c_minus'( Y, X, 'tc_nat' ) ) ],
% 1.20/1.62 [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OgreaterThanAtMost'( X, Y,
% 1.20/1.62 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_IntDef_Onat'( 'c_minus'( Y, X
% 1.20/1.62 , 'tc_IntDef_Oint' ) ) ) ],
% 1.20/1.62 [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OgreaterThanLessThan'( X, Y,
% 1.20/1.62 'tc_nat' ), 'tc_nat' ), 'c_minus'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ],
% 1.20/1.62 [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OgreaterThanLessThan'( X, Y,
% 1.20/1.62 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_IntDef_Onat'( 'c_minus'( Y,
% 1.20/1.62 'c_plus'( X, 'c_1', 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ) ],
% 1.20/1.62 [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OlessThan'( X, 'tc_nat' ),
% 1.20/1.62 'tc_nat' ), X ) ],
% 1.20/1.62 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ),
% 1.20/1.62 =( 'c_SetInterval_OgreaterThanAtMost'( Z, Y, X ), 'c_emptyset' ) ],
% 1.20/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.20/1.62 'c_SetInterval_OgreaterThanAtMost'( Z, T, X ), X ) ), 'c_less'( Z, Y, X )
% 1.20/1.62 ],
% 1.20/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.20/1.62 'c_SetInterval_OgreaterThanAtMost'( Z, T, X ), X ) ), 'c_lessequals'( Y,
% 1.20/1.62 T, X ) ],
% 1.20/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X ) ), ~(
% 1.20/1.62 'c_lessequals'( Z, T, X ) ), 'c_in'( Z,
% 1.20/1.62 'c_SetInterval_OgreaterThanAtMost'( Y, T, X ), X ) ],
% 1.20/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.20/1.62 'c_SetInterval_OgreaterThanLessThan'( Z, T, X ), X ) ), 'c_less'( Z, Y, X
% 1.20/1.62 ) ],
% 1.20/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.20/1.62 'c_SetInterval_OgreaterThanLessThan'( Z, T, X ), X ) ), 'c_less'( Y, T, X
% 1.20/1.62 ) ],
% 1.20/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X ) ), ~(
% 1.20/1.62 'c_less'( T, Y, X ) ), 'c_in'( Y, 'c_SetInterval_OgreaterThanLessThan'( T
% 1.20/1.62 , Z, X ), X ) ],
% 1.20/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 1.20/1.62 'c_SetInterval_OgreaterThan'( Y, X ), 'c_SetInterval_OgreaterThan'( Z, X
% 1.20/1.62 ) ) ), =( Y, Z ) ],
% 1.20/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.20/1.62 'c_SetInterval_OgreaterThan'( Z, X ), X ) ), 'c_less'( Z, Y, X ) ],
% 1.20/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X ) ), 'c_in'( Z
% 1.20/1.62 , 'c_SetInterval_OgreaterThan'( Y, X ), X ) ],
% 1.20/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 1.20/1.62 'c_SetInterval_OgreaterThan'( Y, X ), 'c_SetInterval_OgreaterThan'( Z, X
% 1.20/1.62 ), 'tc_set'( X ) ) ), 'c_lessequals'( Z, Y, X ) ],
% 1.20/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.20/1.62 , 'c_lessequals'( 'c_SetInterval_OgreaterThan'( Z, X ),
% 1.20/1.62 'c_SetInterval_OgreaterThan'( Y, X ), 'tc_set'( X ) ) ],
% 1.20/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.20/1.62 , =( 'c_minus'( 'c_SetInterval_OatLeastLessThan'( Y, T, X ),
% 1.20/1.62 'c_SetInterval_OatLeastLessThan'( Y, Z, X ), 'tc_set'( X ) ),
% 1.20/1.62 'c_SetInterval_OatLeastLessThan'( Z, T, X ) ) ],
% 1.20/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 1.20/1.62 'c_SetInterval_OatLeastLessThan'( Y, Z, X ),
% 1.20/1.62 'c_SetInterval_OatLeastLessThan'( T, U, X ), 'tc_set'( X ) ) ),
% 1.20/1.62 'c_lessequals'( T, Y, X ), 'c_lessequals'( Z, Y, X ) ],
% 1.20/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 1.20/1.62 'c_SetInterval_OatLeastLessThan'( Y, Z, X ),
% 1.20/1.62 'c_SetInterval_OatLeastLessThan'( T, U, X ), 'tc_set'( X ) ) ),
% 1.20/1.62 'c_lessequals'( Z, U, X ), 'c_lessequals'( Z, Y, X ) ],
% 1.20/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.20/1.62 , 'c_lessequals'( 'c_SetInterval_OatLeastLessThan'( Z, Y, X ),
% 1.20/1.62 'c_SetInterval_OatLeastLessThan'( T, U, X ), 'tc_set'( X ) ) ],
% 1.20/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.20/1.62 , ~( 'c_lessequals'( T, U, X ) ), 'c_lessequals'(
% 1.20/1.62 'c_SetInterval_OatLeastLessThan'( U, Y, X ),
% 1.20/1.62 'c_SetInterval_OatLeastLessThan'( T, Z, X ), 'tc_set'( X ) ) ],
% 1.20/1.62 [ =( 'c_SetInterval_OlessThan'( 'c_0', 'tc_nat' ), 'c_emptyset' ) ],
% 1.20/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 'c_SetInterval_OlessThan'(
% 1.20/1.62 Y, X ), 'c_SetInterval_OlessThan'( Z, X ) ) ), =( Y, Z ) ],
% 1.20/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.20/1.62 'c_SetInterval_OlessThan'( Z, X ), X ) ), 'c_less'( Y, Z, X ) ],
% 1.20/1.62 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X ) ), 'c_in'( Y
% 1.20/1.62 , 'c_SetInterval_OlessThan'( Z, X ), X ) ],
% 1.20/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 1.20/1.62 'c_SetInterval_OlessThan'( Y, X ), 'c_SetInterval_OlessThan'( Z, X ),
% 1.20/1.62 'tc_set'( X ) ) ), 'c_lessequals'( Y, Z, X ) ],
% 1.20/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.20/1.62 , 'c_lessequals'( 'c_SetInterval_OlessThan'( Y, X ),
% 1.20/1.62 'c_SetInterval_OlessThan'( Z, X ), 'tc_set'( X ) ) ],
% 1.20/1.62 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_minus'( 'c_insert'( Y,
% 1.20/1.62 'c_emptyset', X ), 'c_SetInterval_OlessThan'( Y, X ), 'tc_set'( X ) ),
% 1.20/1.62 'c_insert'( Y, 'c_emptyset', X ) ) ],
% 1.20/1.62 [ =( 'c_uminus'( 'c_minus'( X, Y, 'tc_set'( Z ) ), 'tc_set'( Z ) ),
% 1.20/1.62 'c_union'( 'c_uminus'( X, 'tc_set'( Z ) ), Y, Z ) ) ],
% 1.20/1.62 [ =( 'c_uminus'( 'c_inter'( X, Y, Z ), 'tc_set'( Z ) ), 'c_union'(
% 1.20/1.62 'c_uminus'( X, 'tc_set'( Z ) ), 'c_uminus'( Y, 'tc_set'( Z ) ), Z ) ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ =( 'c_uminus'( 'c_UNIV', 'tc_set'( X ) ), 'c_emptyset' ) ],
% 1.20/1.62 [ =( 'c_uminus'( 'c_union'( X, Y, Z ), 'tc_set'( Z ) ), 'c_inter'(
% 1.20/1.62 'c_uminus'( X, 'tc_set'( Z ) ), 'c_uminus'( Y, 'tc_set'( Z ) ), Z ) ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ =( 'c_inter'( 'c_uminus'( X, 'tc_set'( Y ) ), X, Y ), 'c_emptyset' ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ =( 'c_inter'( X, 'c_uminus'( X, 'tc_set'( Y ) ), Y ), 'c_emptyset' ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ =( 'c_uminus'( 'c_emptyset', 'tc_set'( X ) ), 'c_UNIV' ) ],
% 1.20/1.62 [ ~( =( 'c_uminus'( X, 'tc_set'( Y ) ), 'c_uminus'( Z, 'tc_set'( Y ) ) )
% 1.20/1.62 ), =( X, Z ) ],
% 1.20/1.62 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_uminus'( Y, 'tc_set'( Z ) ),
% 1.20/1.62 Z ) ) ],
% 1.20/1.62 [ 'c_in'( X, Y, Z ), 'c_in'( X, 'c_uminus'( Y, 'tc_set'( Z ) ), Z ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ ~( 'c_lessequals'( 'c_uminus'( X, 'tc_set'( Y ) ), 'c_uminus'( Z,
% 1.20/1.62 'tc_set'( Y ) ), 'tc_set'( Y ) ) ), 'c_lessequals'( Z, X, 'tc_set'( Y ) )
% 1.20/1.62 ],
% 1.20/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_uminus'(
% 1.20/1.62 Y, 'tc_set'( Z ) ), 'c_uminus'( X, 'tc_set'( Z ) ), 'tc_set'( Z ) ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ =( 'c_minus'( X, 'c_uminus'( Y, 'tc_set'( Z ) ), 'tc_set'( Z ) ),
% 1.20/1.62 'c_inter'( X, Y, Z ) ) ],
% 1.20/1.62 [ =( 'c_minus'( X, 'c_UNIV', 'tc_set'( Y ) ), 'c_emptyset' ) ],
% 1.20/1.62 [ =( 'c_minus'( X, X, 'tc_set'( Y ) ), 'c_emptyset' ) ],
% 1.20/1.62 [ =( 'c_inter'( X, 'c_minus'( Y, X, 'tc_set'( Z ) ), Z ), 'c_emptyset' )
% 1.20/1.62 ],
% 1.20/1.62 [ =( 'c_minus'( X, 'c_emptyset', 'tc_set'( Y ) ), X ) ],
% 1.20/1.62 [ ~( =( 'c_minus'( X, Y, 'tc_set'( Z ) ), 'c_emptyset' ) ),
% 1.20/1.62 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ],
% 1.20/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), =( 'c_minus'( X, Y,
% 1.20/1.62 'tc_set'( Z ) ), 'c_emptyset' ) ],
% 1.20/1.62 [ =( 'c_minus'( 'c_minus'( X, Y, 'tc_set'( Z ) ), Y, 'tc_set'( Z ) ),
% 1.20/1.62 'c_minus'( X, Y, 'tc_set'( Z ) ) ) ],
% 1.20/1.62 [ ~( 'c_in'( X, 'c_minus'( Y, Z, 'tc_set'( T ) ), T ) ), 'c_in'( X, Y, T
% 1.20/1.62 ) ],
% 1.20/1.62 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_minus'( T, Y, 'tc_set'( Z ) )
% 1.20/1.62 , Z ) ) ],
% 1.20/1.62 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, T, Z ), 'c_in'( X, 'c_minus'( Y, T
% 1.20/1.62 , 'tc_set'( Z ) ), Z ) ],
% 1.20/1.62 [ 'c_in'( X, Y, Z ), =( 'c_minus'( Y, 'c_insert'( X, T, Z ), 'tc_set'( Z
% 1.20/1.62 ) ), 'c_minus'( Y, T, 'tc_set'( Z ) ) ) ],
% 1.20/1.62 [ ~( =( 'c_inter'( X, Y, Z ), 'c_UNIV' ) ), =( X, 'c_UNIV' ) ],
% 1.20/1.62 [ ~( =( 'c_inter'( X, Y, Z ), 'c_UNIV' ) ), =( Y, 'c_UNIV' ) ],
% 1.20/1.62 [ =( 'c_inter'( 'c_UNIV', 'c_UNIV', X ), 'c_UNIV' ) ],
% 1.20/1.62 [ =( 'c_inter'( 'c_UNIV', X, Y ), X ) ],
% 1.20/1.62 [ =( 'c_inter'( X, 'c_UNIV', Y ), X ) ],
% 1.20/1.62 [ =( 'c_inter'( X, X, Y ), X ) ],
% 1.20/1.62 [ =( 'c_inter'( 'c_emptyset', X, Y ), 'c_emptyset' ) ],
% 1.20/1.62 [ =( 'c_inter'( X, 'c_emptyset', Y ), 'c_emptyset' ) ],
% 1.20/1.62 [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Y, T ) ],
% 1.20/1.62 [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ) ],
% 1.20/1.62 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), 'c_in'( X, 'c_inter'(
% 1.20/1.62 T, Y, Z ), Z ) ],
% 1.20/1.62 [ ~( 'c_lessequals'( X, 'c_inter'( Y, Z, T ), 'tc_set'( T ) ) ),
% 1.20/1.62 'c_lessequals'( X, Y, 'tc_set'( T ) ) ],
% 1.20/1.62 [ ~( 'c_lessequals'( X, 'c_inter'( Y, Z, T ), 'tc_set'( T ) ) ),
% 1.20/1.62 'c_lessequals'( X, Z, 'tc_set'( T ) ) ],
% 1.20/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( X, T,
% 1.20/1.62 'tc_set'( Z ) ) ), 'c_lessequals'( X, 'c_inter'( T, Y, Z ), 'tc_set'( Z )
% 1.20/1.62 ) ],
% 1.20/1.62 [ =( 'c_Inter'( 'c_UNIV', X ), 'c_emptyset' ) ],
% 1.20/1.62 [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( =( 'c_Inter'( Y, Z ), 'c_UNIV'
% 1.20/1.62 ) ), =( X, 'c_UNIV' ) ],
% 1.20/1.62 [ 'c_in'( 'c_Main_OInter__UNIV__conv__1__1'( X, Y ), X, 'tc_set'( Y ) )
% 1.20/1.62 , =( 'c_Inter'( X, Y ), 'c_UNIV' ) ],
% 1.20/1.62 [ ~( =( 'c_Main_OInter__UNIV__conv__1__1'( X, Y ), 'c_UNIV' ) ), =(
% 1.20/1.62 'c_Inter'( X, Y ), 'c_UNIV' ) ],
% 1.20/1.62 [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( =( 'c_UNIV', 'c_Inter'( Y, Z )
% 1.20/1.62 ) ), =( X, 'c_UNIV' ) ],
% 1.20/1.62 [ 'c_in'( 'c_Main_OInter__UNIV__conv__2__1'( X, Y ), X, 'tc_set'( Y ) )
% 1.20/1.62 , =( 'c_UNIV', 'c_Inter'( X, Y ) ) ],
% 1.20/1.62 [ ~( =( 'c_Main_OInter__UNIV__conv__2__1'( X, Y ), 'c_UNIV' ) ), =(
% 1.20/1.62 'c_UNIV', 'c_Inter'( X, Y ) ) ],
% 1.20/1.62 [ =( 'c_Inter'( 'c_emptyset', X ), 'c_UNIV' ) ],
% 1.20/1.62 [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_in'( T, 'c_Inter'( Y, Z ), Z
% 1.20/1.62 ) ), 'c_in'( T, X, Z ) ],
% 1.20/1.62 [ 'c_in'( X, 'c_Inter'( Y, Z ), Z ), 'c_in'( 'c_Main_OInter__iff__1'( X
% 1.20/1.62 , Y, Z ), Y, 'tc_set'( Z ) ) ],
% 1.20/1.62 [ ~( 'c_in'( X, 'c_Main_OInter__iff__1'( X, Y, Z ), Z ) ), 'c_in'( X,
% 1.20/1.62 'c_Inter'( Y, Z ), Z ) ],
% 1.20/1.62 [ =( 'c_Inter'( 'c_insert'( X, Y, 'tc_set'( Z ) ), Z ), 'c_inter'( X,
% 1.20/1.62 'c_Inter'( Y, Z ), Z ) ) ],
% 1.20/1.62 [ =( 'c_Pow'( 'c_inter'( X, Y, Z ), Z ), 'c_inter'( 'c_Pow'( X, Z ),
% 1.20/1.62 'c_Pow'( Y, Z ), 'tc_set'( Z ) ) ) ],
% 1.20/1.62 [ =( 'c_Pow'( 'c_UNIV', X ), 'c_UNIV' ) ],
% 1.20/1.62 [ =( 'c_Pow'( 'c_emptyset', X ), 'c_insert'( 'c_emptyset', 'c_emptyset'
% 1.20/1.62 , 'tc_set'( X ) ) ) ],
% 1.20/1.62 [ ~( 'c_in'( X, 'c_Pow'( Y, Z ), 'tc_set'( Z ) ) ), 'c_lessequals'( X, Y
% 1.20/1.62 , 'tc_set'( Z ) ) ],
% 1.20/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_in'( X, 'c_Pow'( Y, Z )
% 1.20/1.62 , 'tc_set'( Z ) ) ],
% 1.20/1.62 [ ~( =( 'c_UNIV', 'c_emptyset' ) ) ],
% 1.20/1.62 [ =( 'c_union'( 'c_minus'( X, Y, 'tc_set'( Z ) ), Y, Z ), 'c_union'( X,
% 1.20/1.62 Y, Z ) ) ],
% 1.20/1.62 [ =( 'c_union'( X, 'c_minus'( Y, X, 'tc_set'( Z ) ), Z ), 'c_union'( X,
% 1.20/1.62 Y, Z ) ) ],
% 1.20/1.62 [ =( 'c_union'( 'c_UNIV', X, Y ), 'c_UNIV' ) ],
% 1.20/1.62 [ =( 'c_union'( X, 'c_UNIV', Y ), 'c_UNIV' ) ],
% 1.20/1.62 [ =( 'c_union'( X, X, Y ), X ) ],
% 1.20/1.62 [ ~( =( 'c_union'( X, Y, Z ), 'c_emptyset' ) ), =( X, 'c_emptyset' ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ ~( =( 'c_union'( X, Y, Z ), 'c_emptyset' ) ), =( Y, 'c_emptyset' ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ =( 'c_union'( 'c_emptyset', 'c_emptyset', X ), 'c_emptyset' ) ],
% 1.20/1.62 [ =( 'c_union'( 'c_emptyset', X, Y ), X ) ],
% 1.20/1.62 [ =( 'c_union'( X, 'c_emptyset', Y ), X ) ],
% 1.20/1.62 [ ~( 'c_in'( X, 'c_union'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ), 'c_in'(
% 1.20/1.62 X, Y, T ) ],
% 1.20/1.62 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( Y, T, Z ), Z ) ],
% 1.20/1.62 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( T, Y, Z ), Z ) ],
% 1.20/1.62 [ =( 'c_union'( 'c_insert'( X, Y, Z ), T, Z ), 'c_insert'( X, 'c_union'(
% 1.20/1.62 Y, T, Z ), Z ) ) ],
% 1.20/1.62 [ =( 'c_union'( X, 'c_insert'( Y, Z, T ), T ), 'c_insert'( Y, 'c_union'(
% 1.20/1.62 X, Z, T ), T ) ) ],
% 1.20/1.62 [ ~( 'c_lessequals'( 'c_union'( X, Y, Z ), T, 'tc_set'( Z ) ) ),
% 1.20/1.62 'c_lessequals'( X, T, 'tc_set'( Z ) ) ],
% 1.20/1.62 [ ~( 'c_lessequals'( 'c_union'( X, Y, Z ), T, 'tc_set'( Z ) ) ),
% 1.20/1.62 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ],
% 1.20/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( T, Y,
% 1.20/1.62 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_union'( T, X, Z ), Y, 'tc_set'( Z )
% 1.20/1.62 ) ],
% 1.20/1.62 [ =( 'c_Union'( 'c_Pow'( X, Y ), Y ), X ) ],
% 1.20/1.62 [ =( 'c_Union'( 'c_UNIV', X ), 'c_UNIV' ) ],
% 1.20/1.62 [ =( 'c_Union'( 'c_union'( X, Y, 'tc_set'( Z ) ), Z ), 'c_union'(
% 1.20/1.62 'c_Union'( X, Z ), 'c_Union'( Y, Z ), Z ) ) ],
% 1.20/1.62 [ =( 'c_Union'( 'c_emptyset', X ), 'c_emptyset' ) ],
% 1.20/1.62 [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( =( 'c_Union'( Y, Z ),
% 1.20/1.62 'c_emptyset' ) ), =( X, 'c_emptyset' ) ],
% 1.20/1.62 [ 'c_in'( 'c_Main_OUnion__empty__conv__1'( X, Y ), X, 'tc_set'( Y ) ),
% 1.20/1.62 =( 'c_Union'( X, Y ), 'c_emptyset' ) ],
% 1.20/1.62 [ ~( =( 'c_Main_OUnion__empty__conv__1'( X, Y ), 'c_emptyset' ) ), =(
% 1.20/1.62 'c_Union'( X, Y ), 'c_emptyset' ) ],
% 1.20/1.62 [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'(
% 1.20/1.62 'c_Main_OUnion__iff__1'( X, Y, Z ), Y, 'tc_set'( Z ) ) ],
% 1.20/1.62 [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( X,
% 1.20/1.62 'c_Main_OUnion__iff__1'( X, Y, Z ), Z ) ],
% 1.20/1.62 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( Y, T, 'tc_set'( Z ) ) ), 'c_in'( X
% 1.20/1.62 , 'c_Union'( T, Z ), Z ) ],
% 1.20/1.62 [ =( 'c_Union'( 'c_insert'( X, Y, 'tc_set'( Z ) ), Z ), 'c_union'( X,
% 1.20/1.62 'c_Union'( Y, Z ), Z ) ) ],
% 1.20/1.62 [ 'c_in'( 'c_Main_Oall__not__in__conv__1'( X, Y ), X, Y ), =( X,
% 1.20/1.62 'c_emptyset' ) ],
% 1.20/1.62 [ =( 'c_Set_Ocontents'( 'c_insert'( X, 'c_emptyset', Y ), Y ), X ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ ~( 'c_in'( X, Y, Z ) ), ~( =( 'c_inter'( Y, 'c_insert'( X, T, Z ), Z )
% 1.20/1.62 , 'c_emptyset' ) ) ],
% 1.20/1.62 [ ~( =( 'c_inter'( X, 'c_insert'( Y, Z, T ), T ), 'c_emptyset' ) ), =(
% 1.20/1.62 'c_inter'( X, Z, T ), 'c_emptyset' ) ],
% 1.20/1.62 [ ~( =( 'c_inter'( X, Y, Z ), 'c_emptyset' ) ), 'c_in'( T, X, Z ), =(
% 1.20/1.62 'c_inter'( X, 'c_insert'( T, Y, Z ), Z ), 'c_emptyset' ) ],
% 1.20/1.62 [ ~( 'c_in'( X, Y, Z ) ), ~( =( 'c_emptyset', 'c_inter'( Y, 'c_insert'(
% 1.20/1.62 X, T, Z ), Z ) ) ) ],
% 1.20/1.62 [ ~( =( 'c_emptyset', 'c_inter'( X, 'c_insert'( Y, Z, T ), T ) ) ), =(
% 1.20/1.62 'c_emptyset', 'c_inter'( X, Z, T ) ) ],
% 1.20/1.62 [ ~( =( 'c_emptyset', 'c_inter'( X, Y, Z ) ) ), 'c_in'( T, X, Z ), =(
% 1.20/1.62 'c_emptyset', 'c_inter'( X, 'c_insert'( T, Y, Z ), Z ) ) ],
% 1.20/1.62 [ =( 'c_uminus'( 'c_uminus'( X, 'tc_set'( Y ) ), 'tc_set'( Y ) ), X ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ =( 'c_minus'( 'c_emptyset', X, 'tc_set'( Y ) ), 'c_emptyset' ) ],
% 1.20/1.62 [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( =( 'c_emptyset', 'c_Union'( Y,
% 1.20/1.62 Z ) ) ), =( X, 'c_emptyset' ) ],
% 1.20/1.62 [ 'c_in'( 'c_Main_Oempty__Union__conv__1'( X, Y ), X, 'tc_set'( Y ) ),
% 1.20/1.62 =( 'c_emptyset', 'c_Union'( X, Y ) ) ],
% 1.20/1.62 [ ~( =( 'c_Main_Oempty__Union__conv__1'( X, Y ), 'c_emptyset' ) ), =(
% 1.20/1.62 'c_emptyset', 'c_Union'( X, Y ) ) ],
% 1.20/1.62 [ ~( 'c_in'( X, 'c_emptyset', Y ) ) ],
% 1.20/1.62 [ ~( =( 'c_emptyset', 'c_insert'( X, Y, Z ) ) ) ],
% 1.20/1.62 [ ~( 'c_in'( X, Y, Z ) ), =( 'c_minus'( 'c_insert'( X, T, Z ), Y,
% 1.20/1.62 'tc_set'( Z ) ), 'c_minus'( T, Y, 'tc_set'( Z ) ) ) ],
% 1.20/1.62 [ =( 'c_insert'( X, 'c_minus'( Y, 'c_insert'( X, 'c_emptyset', Z ),
% 1.20/1.62 'tc_set'( Z ) ), Z ), 'c_insert'( X, Y, Z ) ) ],
% 1.20/1.62 [ =( 'c_insert'( X, 'c_insert'( X, Y, Z ), Z ), 'c_insert'( X, Y, Z ) )
% 1.20/1.62 ],
% 1.20/1.62 [ ~( 'c_in'( X, Y, Z ) ), ~( =( 'c_inter'( 'c_insert'( X, T, Z ), Y, Z )
% 1.20/1.62 , 'c_emptyset' ) ) ],
% 1.20/1.62 [ ~( =( 'c_inter'( 'c_insert'( X, Y, Z ), T, Z ), 'c_emptyset' ) ), =(
% 1.20/1.62 'c_inter'( Y, T, Z ), 'c_emptyset' ) ],
% 1.20/1.62 [ ~( =( 'c_inter'( X, Y, Z ), 'c_emptyset' ) ), 'c_in'( T, Y, Z ), =(
% 1.20/1.62 'c_inter'( 'c_insert'( T, X, Z ), Y, Z ), 'c_emptyset' ) ],
% 1.20/1.62 [ ~( 'c_in'( X, Y, Z ) ), ~( =( 'c_emptyset', 'c_inter'( 'c_insert'( X,
% 1.20/1.62 T, Z ), Y, Z ) ) ) ],
% 1.20/1.62 [ ~( =( 'c_emptyset', 'c_inter'( 'c_insert'( X, Y, Z ), T, Z ) ) ), =(
% 1.20/1.62 'c_emptyset', 'c_inter'( Y, T, Z ) ) ],
% 1.20/1.62 [ ~( =( 'c_emptyset', 'c_inter'( X, Y, Z ) ) ), 'c_in'( T, Y, Z ), =(
% 1.20/1.62 'c_emptyset', 'c_inter'( 'c_insert'( T, X, Z ), Y, Z ) ) ],
% 1.20/1.62 [ ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ), =( X, Y
% 1.20/1.62 ) ],
% 1.20/1.62 [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ],
% 1.20/1.62 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_insert'( T, Y, Z ), Z ) ],
% 1.20/1.62 [ =( 'c_inter'( 'c_insert'( X, Y, Z ), 'c_insert'( X, T, Z ), Z ),
% 1.20/1.62 'c_insert'( X, 'c_inter'( Y, T, Z ), Z ) ) ],
% 1.20/1.62 [ ~( =( 'c_insert'( X, Y, Z ), 'c_emptyset' ) ) ],
% 1.20/1.62 [ ~( 'c_lessequals'( 'c_insert'( X, Y, Z ), T, 'tc_set'( Z ) ) ), 'c_in'(
% 1.20/1.62 X, T, Z ) ],
% 1.20/1.62 [ ~( 'c_lessequals'( 'c_insert'( X, Y, Z ), T, 'tc_set'( Z ) ) ),
% 1.20/1.62 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ],
% 1.20/1.62 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( T, Y, 'tc_set'( Z ) ) ),
% 1.20/1.62 'c_lessequals'( 'c_insert'( X, T, Z ), Y, 'tc_set'( Z ) ) ],
% 1.20/1.62 [ ~( 'c_less'( X, 'c_emptyset', 'tc_set'( Y ) ) ) ],
% 1.20/1.62 [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, T, Y ) ) ), =(
% 1.20/1.62 Z, X ) ],
% 1.20/1.62 [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, T, Y ) ) ),
% 1.20/1.62 'c_lessequals'( T, 'c_insert'( X, 'c_emptyset', Y ), 'tc_set'( Y ) ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ ~( 'c_lessequals'( X, 'c_insert'( Y, 'c_emptyset', Z ), 'tc_set'( Z )
% 1.20/1.62 ) ), =( 'c_insert'( Y, 'c_emptyset', Z ), 'c_insert'( Y, X, Z ) ) ],
% 1.20/1.62 [ ~( =( 'c_insert'( X, Y, Z ), 'c_insert'( T, 'c_emptyset', Z ) ) ), =(
% 1.20/1.62 X, T ) ],
% 1.20/1.62 [ ~( =( 'c_insert'( X, Y, Z ), 'c_insert'( T, 'c_emptyset', Z ) ) ),
% 1.20/1.62 'c_lessequals'( Y, 'c_insert'( T, 'c_emptyset', Z ), 'tc_set'( Z ) ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ ~( 'c_lessequals'( X, 'c_insert'( Y, 'c_emptyset', Z ), 'tc_set'( Z )
% 1.20/1.62 ) ), =( 'c_insert'( Y, X, Z ), 'c_insert'( Y, 'c_emptyset', Z ) ) ],
% 1.20/1.62 [ 'c_lessequals'( X, 'c_UNIV', 'tc_set'( Y ) ) ],
% 1.20/1.62 [ ~( 'c_lessequals'( X, 'c_emptyset', 'tc_set'( Y ) ) ), =( X,
% 1.20/1.62 'c_emptyset' ) ],
% 1.20/1.62 [ 'c_lessequals'( 'c_emptyset', 'c_emptyset', 'tc_set'( X ) ) ],
% 1.20/1.62 [ ~( =( 'c_Sum__Type_OInl'( X, Y, Z ), 'c_Sum__Type_OInl'( T, Y, Z ) ) )
% 1.20/1.62 , =( X, T ) ],
% 1.20/1.62 [ ~( =( 'c_Sum__Type_OInl'( X, Y, Z ), 'c_Sum__Type_OInr'( T, Z, Y ) ) )
% 1.20/1.62 ],
% 1.20/1.62 [ ~( =( 'c_Sum__Type_OInr'( X, Y, Z ), 'c_Sum__Type_OInr'( T, Y, Z ) ) )
% 1.20/1.62 , =( X, T ) ],
% 1.20/1.62 [ ~( =( 'c_Sum__Type_OInr'( X, Y, Z ), 'c_Sum__Type_OInl'( T, Z, Y ) ) )
% 1.20/1.62 ],
% 1.20/1.62 [ =( 'c_Sum__Type_OPlus'( 'c_UNIV', 'c_UNIV', X, Y ), 'c_UNIV' ) ],
% 1.20/1.62 [ =( 'c_Relation_ODomain'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y,
% 1.20/1.62 Y ), 'c_UNIV' ) ],
% 1.20/1.62 [ =( 'c_Relation_ORange'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y
% 1.20/1.62 ), 'c_UNIV' ) ],
% 1.20/1.62 [ =( 'c_union'( 'c_Transitive__Closure_Otrancl'( X, Y ),
% 1.20/1.62 'c_Relation_OId', 'tc_prod'( Y, Y ) ), 'c_Transitive__Closure_Ortrancl'(
% 1.20/1.62 X, Y ) ) ],
% 1.20/1.62 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_emptyset', X ),
% 1.20/1.62 'c_Relation_OId' ) ],
% 1.20/1.62 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Transitive__Closure_Ortrancl'(
% 1.20/1.62 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 1.20/1.62 [ =( 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 1.20/1.62 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ),
% 1.20/1.62 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 1.20/1.62 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_union'( X, 'c_Relation_OId',
% 1.20/1.62 'tc_prod'( Y, Y ) ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ =( 'c_Relation_ODomain'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 1.20/1.62 ), 'c_Relation_ODomain'( X, Y, Y ) ) ],
% 1.20/1.62 [ =( 'c_Transitive__Closure_Otrancl'( 'c_emptyset', X ), 'c_emptyset' )
% 1.20/1.62 ],
% 1.20/1.62 [ =( 'c_Relation_ORange'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 1.20/1.62 ), 'c_Relation_ORange'( X, Y, Y ) ) ],
% 1.20/1.62 [ =( 'c_Transitive__Closure_Otrancl'( 'c_union'( X, 'c_Relation_OId',
% 1.20/1.62 'tc_prod'( Y, Y ) ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_Relation_Oconverse'( X, Y,
% 1.20/1.62 Y ), Y ) ), 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ],
% 1.20/1.62 [ ~( 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ),
% 1.20/1.62 'c_Wellfounded__Recursion_Oacyclic'( 'c_Relation_Oconverse'( X, Y, Y ), Y
% 1.20/1.62 ) ],
% 1.20/1.62 [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( X, Y, Z
% 1.20/1.62 , Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), 'c_Wellfounded__Recursion_Oacyclic'(
% 1.20/1.62 T, Z ) ],
% 1.20/1.62 [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( X, Y, Z
% 1.20/1.62 , Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 1.20/1.62 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 1.20/1.62 [ ~( 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ),
% 1.20/1.62 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( Z, T, Y, Y ),
% 1.20/1.62 X, 'tc_prod'( Y, Y ) ), Y ), 'c_in'( 'c_Pair'( T, Z, Y, Y ),
% 1.20/1.62 'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ],
% 1.20/1.62 [ ~( 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( X, Y, Z, Z )
% 1.20/1.62 , T, 'tc_prod'( Z, Z ) ), Z ) ), 'c_Wellfounded__Recursion_Owf'( T, Z ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ ~( 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( X, Y, Z, Z )
% 1.20/1.62 , T, 'tc_prod'( Z, Z ) ), Z ) ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 1.20/1.62 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 1.20/1.62 [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ),
% 1.20/1.62 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( Z, T, Y, Y ), X,
% 1.20/1.62 'tc_prod'( Y, Y ) ), Y ), 'c_in'( 'c_Pair'( T, Z, Y, Y ),
% 1.20/1.62 'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ],
% 1.20/1.62 [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), ~( 'c_in'( 'c_Pair'( Z, Z
% 1.20/1.62 , Y, Y ), X, 'tc_prod'( Y, Y ) ) ) ],
% 1.20/1.62 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ),
% 1.20/1.62 'c_Wellfounded__Relations_Oless__than', 'tc_prod'( 'tc_nat', 'tc_nat' ) )
% 1.20/1.62 ), 'c_less'( X, Y, 'tc_nat' ) ],
% 1.20/1.62 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_in'( 'c_Pair'( X, Y, 'tc_nat',
% 1.20/1.62 'tc_nat' ), 'c_Wellfounded__Relations_Oless__than', 'tc_prod'( 'tc_nat',
% 1.20/1.62 'tc_nat' ) ) ],
% 1.20/1.62 [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ),
% 1.20/1.62 'c_Datatype__Universe_OLeaf'( T, Y, Z ) ) ), =( X, T ) ],
% 1.20/1.62 [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ),
% 1.20/1.62 'c_Datatype__Universe_ONumb'( T, Y, Z ) ) ), =( X, T ) ],
% 1.20/1.62 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U ), 'tc_prod'(
% 1.20/1.62 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.20/1.62 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), =( X, 'c_Pair'(
% 1.20/1.62 'c_Datatype__Universe_OScons'( 'c_Main_OdprodE__1'( X, Y, Z, T, U ),
% 1.20/1.62 'c_Main_OdprodE__2'( X, Y, Z, T, U ), T, U ),
% 1.20/1.62 'c_Datatype__Universe_OScons'( 'c_Main_OdprodE__3'( X, Y, Z, T, U ),
% 1.20/1.62 'c_Main_OdprodE__4'( X, Y, Z, T, U ), T, U ), 'tc_set'(
% 1.20/1.62 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.20/1.62 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.20/1.62 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U ), 'tc_prod'(
% 1.20/1.62 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.20/1.62 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 1.20/1.62 'c_Main_OdprodE__2'( X, Y, Z, T, U ), 'c_Main_OdprodE__4'( X, Y, Z, T, U
% 1.20/1.62 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.20/1.62 'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'(
% 1.20/1.62 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.20/1.62 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.20/1.62 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U ), 'tc_prod'(
% 1.20/1.62 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.20/1.62 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 1.20/1.62 'c_Main_OdprodE__1'( X, Y, Z, T, U ), 'c_Main_OdprodE__3'( X, Y, Z, T, U
% 1.20/1.62 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.20/1.62 'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'(
% 1.20/1.62 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.20/1.62 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.20/1.62 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 1.20/1.62 , T ) ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U,
% 1.20/1.62 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.20/1.62 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), ~( 'c_in'( 'c_Pair'( W, V0
% 1.20/1.62 , 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.20/1.62 'tc_Datatype__Universe_Onode'( Z, T ) ) ), V1, 'tc_prod'( 'tc_set'(
% 1.20/1.62 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.20/1.62 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'(
% 1.20/1.62 'c_Datatype__Universe_OScons'( W, X, Z, T ),
% 1.20/1.62 'c_Datatype__Universe_OScons'( V0, Y, Z, T ), 'tc_set'(
% 1.20/1.62 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.20/1.62 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odprod'(
% 1.20/1.62 V1, U, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.20/1.62 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ],
% 1.20/1.62 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'(
% 1.20/1.62 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.20/1.62 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), =( X, 'c_Pair'(
% 1.20/1.62 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__1'( Y, X, T, U ), T, U ),
% 1.20/1.62 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__2'( Y, X, T, U ), T, U ),
% 1.20/1.62 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.20/1.62 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'(
% 1.20/1.62 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__3'( Z, X, T, U ), T, U ),
% 1.20/1.62 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__4'( Z, X, T, U ), T, U ),
% 1.20/1.62 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.20/1.62 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.20/1.62 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'(
% 1.20/1.62 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.20/1.62 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 1.20/1.62 'c_Main_OdsumE__3'( Z, X, T, U ), 'c_Main_OdsumE__4'( Z, X, T, U ),
% 1.20/1.62 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.20/1.62 'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'(
% 1.20/1.62 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.20/1.62 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'(
% 1.20/1.62 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__1'( Y, X, T, U ), T, U ),
% 1.20/1.62 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__2'( Y, X, T, U ), T, U ),
% 1.20/1.62 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.20/1.62 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.20/1.62 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'(
% 1.20/1.62 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.20/1.62 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 1.20/1.62 'c_Main_OdsumE__1'( Y, X, T, U ), 'c_Main_OdsumE__2'( Y, X, T, U ),
% 1.20/1.62 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.20/1.62 'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'(
% 1.20/1.62 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.20/1.62 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'(
% 1.20/1.62 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__3'( Z, X, T, U ), T, U ),
% 1.20/1.62 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__4'( Z, X, T, U ), T, U ),
% 1.20/1.62 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.20/1.62 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.20/1.62 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'(
% 1.20/1.62 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.20/1.62 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 1.20/1.62 'c_Main_OdsumE__1'( Y, X, T, U ), 'c_Main_OdsumE__2'( Y, X, T, U ),
% 1.20/1.62 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.20/1.62 'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'(
% 1.20/1.62 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.20/1.62 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Pair'(
% 1.20/1.62 'c_Main_OdsumE__3'( Z, X, T, U ), 'c_Main_OdsumE__4'( Z, X, T, U ),
% 1.20/1.62 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.20/1.62 'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'(
% 1.20/1.62 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.20/1.62 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.20/1.62 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 1.20/1.62 , T ) ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U,
% 1.20/1.62 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.20/1.62 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'(
% 1.20/1.62 'c_Datatype__Universe_OIn0'( X, Z, T ), 'c_Datatype__Universe_OIn0'( Y, Z
% 1.20/1.62 , T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.20/1.62 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odsum'(
% 1.20/1.62 U, W, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.20/1.62 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ],
% 1.20/1.62 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 1.20/1.62 , T ) ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U,
% 1.20/1.62 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.20/1.62 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'(
% 1.20/1.62 'c_Datatype__Universe_OIn1'( X, Z, T ), 'c_Datatype__Universe_OIn1'( Y, Z
% 1.20/1.62 , T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.20/1.62 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odsum'(
% 1.20/1.62 W, U, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.20/1.62 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ],
% 1.20/1.62 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U ), 'tc_set'(
% 1.20/1.62 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X,
% 1.20/1.62 'c_Datatype__Universe_OScons'( 'c_Main_OuprodE__1'( Y, Z, X, T, U ),
% 1.20/1.62 'c_Main_OuprodE__2'( Y, Z, X, T, U ), T, U ) ) ],
% 1.20/1.62 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U ), 'tc_set'(
% 1.20/1.62 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OuprodE__2'(
% 1.20/1.62 Y, Z, X, T, U ), Z, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U ), 'tc_set'(
% 1.20/1.62 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OuprodE__1'(
% 1.20/1.62 Y, Z, X, T, U ), Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 1.20/1.62 , ~( 'c_in'( U, W, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 1.20/1.62 , 'c_in'( 'c_Datatype__Universe_OScons'( U, X, Z, T ),
% 1.20/1.62 'c_Datatype__Universe_Ouprod'( W, Y, Z, T ), 'tc_set'(
% 1.20/1.62 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ],
% 1.20/1.62 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'(
% 1.20/1.62 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X,
% 1.20/1.62 'c_Datatype__Universe_OIn0'( 'c_Main_OusumE__1'( Y, X, T, U ), T, U ) ),
% 1.20/1.62 =( X, 'c_Datatype__Universe_OIn1'( 'c_Main_OusumE__2'( Z, X, T, U ), T, U
% 1.20/1.62 ) ) ],
% 1.20/1.62 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'(
% 1.20/1.62 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OusumE__2'(
% 1.20/1.62 Z, X, T, U ), Z, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ), =(
% 1.20/1.62 X, 'c_Datatype__Universe_OIn0'( 'c_Main_OusumE__1'( Y, X, T, U ), T, U )
% 1.20/1.62 ) ],
% 1.20/1.62 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'(
% 1.20/1.62 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OusumE__1'(
% 1.20/1.62 Y, X, T, U ), Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ), =(
% 1.20/1.62 X, 'c_Datatype__Universe_OIn1'( 'c_Main_OusumE__2'( Z, X, T, U ), T, U )
% 1.20/1.62 ) ],
% 1.20/1.62 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'(
% 1.20/1.62 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OusumE__1'(
% 1.20/1.62 Y, X, T, U ), Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ),
% 1.20/1.62 'c_in'( 'c_Main_OusumE__2'( Z, X, T, U ), Z, 'tc_set'(
% 1.20/1.62 'tc_Datatype__Universe_Onode'( T, U ) ) ) ],
% 1.20/1.62 [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 1.20/1.62 , 'c_in'( 'c_Datatype__Universe_OIn0'( X, Z, T ),
% 1.20/1.62 'c_Datatype__Universe_Ousum'( Y, U, Z, T ), 'tc_set'(
% 1.20/1.62 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ],
% 1.20/1.62 [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 1.20/1.62 , 'c_in'( 'c_Datatype__Universe_OIn1'( X, Z, T ),
% 1.20/1.62 'c_Datatype__Universe_Ousum'( U, Y, Z, T ), 'tc_set'(
% 1.20/1.62 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ],
% 1.20/1.62 [ 'c_Divides_Oop_Advd'( X, 'c_0', 'tc_nat' ) ],
% 1.20/1.62 [ 'c_Divides_Oop_Advd'( 'c_Suc'( 'c_0' ), X, 'tc_nat' ) ],
% 1.20/1.62 [ 'c_Divides_Oop_Advd'( X, 'c_times'( X, Y, 'tc_nat' ), 'tc_nat' ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ 'c_Divides_Oop_Advd'( X, 'c_times'( Y, X, 'tc_nat' ), 'tc_nat' ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ ~( =( 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ), 'c_0' ) ), =( X,
% 1.20/1.62 'c_times'( Y, 'c_Main_Omod__eq__0D__dest__1'( Y, X ), 'tc_nat' ) ) ],
% 1.20/1.62 [ 'c_in'( 'c_emptyset', 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ],
% 1.20/1.62 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'(
% 1.20/1.62 'c_insert'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 1.20/1.62 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'(
% 1.20/1.62 'c_inter'( X, Z, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 1.20/1.62 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'(
% 1.20/1.62 'c_inter'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 1.20/1.62 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'( Y ) ) ) )
% 1.20/1.62 , 'c_in'( 'c_Main_Ofinite__Union__1'( X, Y ), X, 'tc_set'( Y ) ), 'c_in'(
% 1.20/1.62 'c_Union'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 1.20/1.62 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'( Y ) ) ) )
% 1.20/1.62 , ~( 'c_in'( 'c_Main_Ofinite__Union__1'( X, Y ), 'c_Finite__Set_OFinites'
% 1.20/1.62 , 'tc_set'( Y ) ) ), 'c_in'( 'c_Union'( X, Y ), 'c_Finite__Set_OFinites'
% 1.20/1.62 , 'tc_set'( Y ) ) ],
% 1.20/1.62 [ 'c_Divides_Oop_Advd'( 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat'
% 1.20/1.62 ) ), X, 'tc_nat' ) ],
% 1.20/1.62 [ 'c_Divides_Oop_Advd'( 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat'
% 1.20/1.62 ) ), Y, 'tc_nat' ) ],
% 1.20/1.62 [ ~( 'c_Infinite__Set_Oatmost__one'( X, Y ) ), ~( 'c_in'( Z, X, Y ) ),
% 1.20/1.62 ~( 'c_in'( T, X, Y ) ), =( Z, T ) ],
% 1.20/1.62 [ 'c_lessequals'( 'c_uminus'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ),
% 1.20/1.62 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ 'c_less'( 'c_uminus'( 'c_IntDef_Oint'( 'c_Suc'( X ) ),
% 1.20/1.62 'tc_IntDef_Oint' ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ 'c_Divides_Oop_Advd'( X, 'c_0', 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ 'c_Divides_Oop_Advd'( 'c_1', X, 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ 'c_Divides_Oop_Advd'( X, 'c_times'( X, Y, 'tc_IntDef_Oint' ),
% 1.20/1.62 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ 'c_Divides_Oop_Advd'( X, 'c_times'( Y, X, 'tc_IntDef_Oint' ),
% 1.20/1.62 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ ~( =( 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' ), 'c_0' ) ), =( X
% 1.20/1.62 , 'c_times'( Y, 'c_Main_Ozmod__eq__0D__dest__1'( Y, X ), 'tc_IntDef_Oint'
% 1.20/1.62 ) ) ],
% 1.20/1.62 [ 'c_List_Odistinct'( 'c_List_Oremdups'( X, Y ), Y ) ],
% 1.20/1.62 [ 'c_in'( 'c_List_Oset'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y )
% 1.20/1.62 ) ],
% 1.20/1.62 [ ~( 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ), ~(
% 1.20/1.62 'c_in'( T, 'c_List_Oset'( X, Z ), Z ) ), 'c_in'( T, Y, Z ) ],
% 1.20/1.62 [ 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ), 'c_in'(
% 1.20/1.62 'c_Main_Oin__listsI__1'( Y, X, Z ), 'c_List_Oset'( X, Z ), Z ) ],
% 1.20/1.62 [ ~( 'c_in'( 'c_Main_Oin__listsI__1'( X, Y, Z ), X, Z ) ), 'c_in'( Y,
% 1.20/1.62 'c_List_Olists'( X, Z ), 'tc_List_Olist'( Z ) ) ],
% 1.20/1.62 [ 'c_lessequals'( 'c_Nat_Osize'( 'c_List_Oremdups'( X, Y ),
% 1.20/1.62 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ),
% 1.20/1.62 'tc_nat' ) ],
% 1.20/1.62 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T,
% 1.20/1.62 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ),
% 1.20/1.62 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), =( T,
% 1.20/1.62 'c_List_Olist_OCons'( 'c_Main_Olistrel__Cons1__1'( U, T, X, Y, Z ),
% 1.20/1.62 'c_Main_Olistrel__Cons1__2'( U, T, X, Y, Z ), Z ) ) ],
% 1.20/1.62 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T,
% 1.20/1.62 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ),
% 1.20/1.62 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'(
% 1.20/1.62 'c_Pair'( Y, 'c_Main_Olistrel__Cons1__2'( U, T, X, Y, Z ),
% 1.20/1.62 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ),
% 1.20/1.62 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ],
% 1.20/1.62 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T,
% 1.20/1.62 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ),
% 1.20/1.62 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'(
% 1.20/1.62 'c_Pair'( X, 'c_Main_Olistrel__Cons1__1'( U, T, X, Y, Z ), Z, Z ), U,
% 1.20/1.62 'tc_prod'( Z, Z ) ) ],
% 1.20/1.62 [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ),
% 1.20/1.62 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ),
% 1.20/1.62 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), =( X,
% 1.20/1.62 'c_List_Olist_OCons'( 'c_Main_Olistrel__Cons2__1'( U, X, Y, Z, T ),
% 1.20/1.62 'c_Main_Olistrel__Cons2__2'( U, X, Y, Z, T ), T ) ) ],
% 1.20/1.62 [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ),
% 1.20/1.62 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ),
% 1.20/1.62 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), 'c_in'(
% 1.20/1.62 'c_Pair'( 'c_Main_Olistrel__Cons2__2'( U, X, Y, Z, T ), Z,
% 1.20/1.62 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ),
% 1.20/1.62 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ],
% 1.20/1.62 [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ),
% 1.20/1.62 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ),
% 1.20/1.62 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), 'c_in'(
% 1.20/1.62 'c_Pair'( 'c_Main_Olistrel__Cons2__1'( U, X, Y, Z, T ), Y, T, T ), U,
% 1.20/1.62 'tc_prod'( T, T ) ) ],
% 1.20/1.62 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X, 'tc_List_Olist'( Y ),
% 1.20/1.62 'tc_List_Olist'( Y ) ), 'c_List_Olistrel'( Z, Y ), 'tc_prod'(
% 1.20/1.62 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X,
% 1.20/1.62 'c_List_Olist_ONil' ) ],
% 1.20/1.62 [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil', 'tc_List_Olist'( Y ),
% 1.20/1.62 'tc_List_Olist'( Y ) ), 'c_List_Olistrel'( Z, Y ), 'tc_prod'(
% 1.20/1.62 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X,
% 1.20/1.62 'c_List_Olist_ONil' ) ],
% 1.20/1.62 [ ~( 'c_in'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olists'( T, Z ),
% 1.20/1.62 'tc_List_Olist'( Z ) ) ), 'c_in'( Y, 'c_List_Olists'( T, Z ),
% 1.20/1.62 'tc_List_Olist'( Z ) ) ],
% 1.20/1.62 [ ~( 'c_in'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olists'( T, Z ),
% 1.20/1.62 'tc_List_Olist'( Z ) ) ), 'c_in'( X, T, Z ) ],
% 1.20/1.62 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( T, 'c_List_Olists'( Y, Z ),
% 1.20/1.62 'tc_List_Olist'( Z ) ) ), 'c_in'( 'c_List_Olist_OCons'( X, T, Z ),
% 1.20/1.62 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ],
% 1.20/1.62 [ 'c_in'( 'c_List_Olist_ONil', 'c_List_Olists'( X, Y ), 'tc_List_Olist'(
% 1.20/1.62 Y ) ) ],
% 1.20/1.62 [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ),
% 1.20/1.62 'c_Wellfounded__Recursion_Owf'( 'c_List_Olenlex'( X, Y ), 'tc_List_Olist'(
% 1.20/1.62 Y ) ) ],
% 1.20/1.62 [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ),
% 1.20/1.62 'c_Wellfounded__Recursion_Owf'( 'c_List_Olex'( X, Y ), 'tc_List_Olist'( Y
% 1.20/1.62 ) ) ],
% 1.20/1.62 [ 'c_lessequals'( 'c_0', X, 'tc_nat' ) ],
% 1.20/1.62 [ 'c_less'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 1.20/1.62 [ ~( 'c_less'( X, X, 'tc_nat' ) ) ],
% 1.20/1.62 [ 'c_less'( 'c_0', 'c_Suc'( X ), 'tc_nat' ) ],
% 1.20/1.62 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.20/1.62 [ ~( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ) ), 'c_in'( 'c_Pair'(
% 1.20/1.62 X, 'c_Main_ODomainE__1'( X, Y, Z, T ), Z, T ), Y, 'tc_prod'( Z, T ) ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'( X
% 1.20/1.62 , 'c_Relation_ODomain'( U, Z, T ), Z ) ],
% 1.20/1.62 [ ~( 'c_in'( X, 'c_Relation_OId', 'tc_prod'( Y, Y ) ) ), =( X, 'c_Pair'(
% 1.20/1.62 'c_Main_OIdE__1'( X, Y ), 'c_Main_OIdE__1'( X, Y ), Y, Y ) ) ],
% 1.20/1.62 [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ), 'c_in'(
% 1.20/1.62 'c_Main_OImageE__1'( Z, X, Y, T, U ), Z, T ) ],
% 1.20/1.62 [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ), 'c_in'(
% 1.20/1.62 'c_Pair'( 'c_Main_OImageE__1'( Z, X, Y, T, U ), X, T, U ), Y, 'tc_prod'(
% 1.20/1.62 T, U ) ) ],
% 1.20/1.62 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( 'c_Pair'( X, T, Z, U ), W,
% 1.20/1.62 'tc_prod'( Z, U ) ) ), 'c_in'( T, 'c_Relation_OImage'( W, Y, Z, U ), U )
% 1.20/1.62 ],
% 1.20/1.62 [ ~( 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ) ), 'c_in'( 'c_Pair'(
% 1.20/1.62 'c_Main_ORangeE__1'( X, Y, T, Z ), X, Z, T ), Y, 'tc_prod'( Z, T ) ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'( Y
% 1.20/1.62 , 'c_Relation_ORange'( U, Z, T ), T ) ],
% 1.20/1.62 [ ~( 'c_in'( X, 'c_Relation_Oconverse'( Y, Z, T ), 'tc_prod'( T, Z ) ) )
% 1.20/1.62 , 'c_in'( 'c_Pair'( 'c_Main_OconverseE__1'( Y, X, Z, T ),
% 1.20/1.62 'c_Main_OconverseE__2'( Y, X, Z, T ), Z, T ), Y, 'tc_prod'( Z, T ) ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ ~( 'c_in'( X, 'c_Relation_Oconverse'( Y, Z, T ), 'tc_prod'( T, Z ) ) )
% 1.20/1.62 , =( X, 'c_Pair'( 'c_Main_OconverseE__2'( Y, X, Z, T ),
% 1.20/1.62 'c_Main_OconverseE__1'( Y, X, Z, T ), T, Z ) ) ],
% 1.20/1.62 [ ~( 'c_in'( X, 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ), =( X
% 1.20/1.62 , 'c_Pair'( 'c_Main_OdiagE__1'( Y, X, Z ), 'c_Main_OdiagE__1'( Y, X, Z )
% 1.20/1.62 , Z, Z ) ) ],
% 1.20/1.62 [ ~( 'c_in'( X, 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ),
% 1.20/1.62 'c_in'( 'c_Main_OdiagE__1'( Y, X, Z ), Y, Z ) ],
% 1.20/1.62 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Pair'( X, X, Z, Z ),
% 1.20/1.62 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ],
% 1.20/1.62 [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 'tc_prod'( W,
% 1.20/1.62 U ) ) ), 'c_in'( 'c_Pair'( 'c_Main_Orel__compE__2'( Y, Z, X, T, U, W ),
% 1.20/1.62 'c_Main_Orel__compE__3'( Y, Z, X, T, U, W ), T, U ), Y, 'tc_prod'( T, U )
% 1.20/1.62 ) ],
% 1.20/1.62 [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 'tc_prod'( W,
% 1.20/1.62 U ) ) ), 'c_in'( 'c_Pair'( 'c_Main_Orel__compE__1'( Y, Z, X, T, U, W ),
% 1.20/1.62 'c_Main_Orel__compE__2'( Y, Z, X, T, U, W ), W, T ), Z, 'tc_prod'( W, T )
% 1.20/1.62 ) ],
% 1.20/1.62 [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 'tc_prod'( W,
% 1.20/1.62 U ) ) ), =( X, 'c_Pair'( 'c_Main_Orel__compE__1'( Y, Z, X, T, U, W ),
% 1.20/1.62 'c_Main_Orel__compE__3'( Y, Z, X, T, U, W ), W, U ) ) ],
% 1.20/1.62 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), ~( 'c_in'(
% 1.20/1.62 'c_Pair'( W, X, V0, Z ), V1, 'tc_prod'( V0, Z ) ) ), 'c_in'( 'c_Pair'( W
% 1.20/1.62 , Y, V0, T ), 'c_Relation_Orel__comp'( U, V1, Z, T, V0 ), 'tc_prod'( V0,
% 1.20/1.62 T ) ) ],
% 1.20/1.62 [ 'c_in'( 'c_SetInterval_OatLeastAtMost'( X, Y, 'tc_nat' ),
% 1.20/1.62 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 1.20/1.62 [ 'c_in'( 'c_SetInterval_OatLeastAtMost'( X, Y, 'tc_IntDef_Oint' ),
% 1.20/1.62 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 1.20/1.62 [ 'c_in'( 'c_SetInterval_OatLeastLessThan'( X, Y, 'tc_nat' ),
% 1.20/1.62 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 1.20/1.62 [ 'c_in'( 'c_SetInterval_OatLeastLessThan'( X, Y, 'tc_IntDef_Oint' ),
% 1.20/1.62 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 1.20/1.62 [ 'c_in'( 'c_SetInterval_OatMost'( X, 'tc_nat' ),
% 1.20/1.62 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 1.20/1.62 [ 'c_in'( 'c_SetInterval_OgreaterThanAtMost'( X, Y, 'tc_nat' ),
% 1.20/1.62 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 1.20/1.62 [ 'c_in'( 'c_SetInterval_OgreaterThanAtMost'( X, Y, 'tc_IntDef_Oint' ),
% 1.20/1.62 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 1.20/1.62 [ 'c_in'( 'c_SetInterval_OgreaterThanLessThan'( X, Y, 'tc_nat' ),
% 1.20/1.62 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 1.20/1.62 [ 'c_in'( 'c_SetInterval_OgreaterThanLessThan'( X, Y, 'tc_IntDef_Oint' )
% 1.20/1.62 , 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 1.20/1.62 [ 'c_in'( 'c_SetInterval_OlessThan'( X, 'tc_nat' ),
% 1.20/1.62 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 1.20/1.62 [ 'c_in'( X, 'c_Inter'( Y, Z ), Z ), 'c_in'( 'c_Main_OInterI__1'( X, Y,
% 1.20/1.62 Z ), Y, 'tc_set'( Z ) ) ],
% 1.20/1.62 [ ~( 'c_in'( X, 'c_Main_OInterI__1'( X, Y, Z ), Z ) ), 'c_in'( X,
% 1.20/1.62 'c_Inter'( Y, Z ), Z ) ],
% 1.20/1.62 [ 'c_in'( X, 'c_UNIV', Y ) ],
% 1.20/1.62 [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( 'c_Main_OUnionE__1'( X
% 1.20/1.62 , Y, Z ), Y, 'tc_set'( Z ) ) ],
% 1.20/1.62 [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( X, 'c_Main_OUnionE__1'(
% 1.20/1.62 X, Y, Z ), Z ) ],
% 1.20/1.62 [ 'c_lessequals'( 'c_emptyset', X, 'tc_set'( Y ) ) ],
% 1.20/1.62 [ ~( 'c_less'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( Y, X,
% 1.20/1.62 'tc_set'( Z ) ) ) ],
% 1.20/1.62 [ ~( 'c_less'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( X, Y, 'tc_set'(
% 1.20/1.62 Z ) ) ],
% 1.20/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_less'( X, Y, 'tc_set'(
% 1.20/1.62 Z ) ), =( X, Y ) ],
% 1.20/1.62 [ ~( 'c_in'( X, 'c_insert'( Y, 'c_emptyset', Z ), Z ) ), =( X, Y ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ 'c_in'( X, 'c_insert'( X, 'c_emptyset', Y ), Y ) ],
% 1.20/1.62 [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, 'c_emptyset', Y
% 1.20/1.62 ) ) ), =( X, Z ) ],
% 1.20/1.62 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ),
% 1.20/1.62 'c_in'( X, T, Z ) ],
% 1.20/1.62 [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ), 'c_lessequals'( X, Y
% 1.20/1.62 , 'tc_set'( Z ) ) ],
% 1.20/1.62 [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ), 'c_lessequals'(
% 1.20/1.62 X, Y, 'tc_set'( Z ) ) ],
% 1.20/1.62 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( Y, X,
% 1.20/1.62 'tc_set'( Z ) ) ), =( Y, X ) ],
% 1.20/1.62 [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ],
% 1.20/1.62 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Sum__Type_OInl'( X, Z, T ),
% 1.20/1.62 'c_Sum__Type_OPlus'( Y, U, Z, T ), 'tc_sum'( Z, T ) ) ],
% 1.20/1.62 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Sum__Type_OInr'( X, Z, T ),
% 1.20/1.62 'c_Sum__Type_OPlus'( U, Y, T, Z ), 'tc_sum'( T, Z ) ) ],
% 1.20/1.62 [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( T, U ) ) )
% 1.20/1.62 , =( X, 'c_Sum__Type_OInl'( 'c_Main_OPlusE__1'( Y, X, T, U ), T, U ) ),
% 1.20/1.62 =( X, 'c_Sum__Type_OInr'( 'c_Main_OPlusE__2'( Z, X, U, T ), U, T ) ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( T, U ) ) )
% 1.20/1.62 , 'c_in'( 'c_Main_OPlusE__2'( Z, X, U, T ), Z, U ), =( X,
% 1.20/1.62 'c_Sum__Type_OInl'( 'c_Main_OPlusE__1'( Y, X, T, U ), T, U ) ) ],
% 1.20/1.62 [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( T, U ) ) )
% 1.20/1.62 , 'c_in'( 'c_Main_OPlusE__1'( Y, X, T, U ), Y, T ), =( X,
% 1.20/1.62 'c_Sum__Type_OInr'( 'c_Main_OPlusE__2'( Z, X, U, T ), U, T ) ) ],
% 1.20/1.62 [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( T, U ) ) )
% 1.20/1.62 , 'c_in'( 'c_Main_OPlusE__1'( Y, X, T, U ), Y, T ), 'c_in'(
% 1.20/1.62 'c_Main_OPlusE__2'( Z, X, U, T ), Z, U ) ],
% 1.20/1.62 [ ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ), 'c_in'( X,
% 1.20/1.62 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) ) ],
% 1.20/1.62 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Transitive__Closure_Ortrancl'( Z, Y
% 1.20/1.62 ), 'tc_prod'( Y, Y ) ) ],
% 1.20/1.62 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), 'c_in'(
% 1.20/1.62 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ),
% 1.20/1.62 'tc_prod'( Z, Z ) ) ],
% 1.20/1.62 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T
% 1.20/1.62 , Z ), 'tc_prod'( Z, Z ) ) ), 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 1.20/1.62 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ],
% 1.20/1.62 [ 'c_Wellfounded__Recursion_Owf'( 'c_emptyset', X ) ],
% 1.20/1.62 [ 'c_Relation_Otrans'( 'c_Wellfounded__Relations_Oless__than', 'tc_nat'
% 1.20/1.62 ) ],
% 1.20/1.62 [ ~( 'c_Relation_Otrans'( X, Y ) ), ~( 'c_Relation_Otrans'( Z, T ) ),
% 1.20/1.62 'c_Relation_Otrans'( 'c_Wellfounded__Relations_Olex__prod'( Z, X, T, Y )
% 1.20/1.62 , 'tc_prod'( T, Y ) ) ],
% 1.20/1.62 [ 'c_Wellfounded__Recursion_Owf'( 'c_Wellfounded__Relations_Oless__than'
% 1.20/1.62 , 'tc_nat' ) ],
% 1.20/1.62 [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), ~(
% 1.20/1.62 'c_Wellfounded__Recursion_Owf'( Z, T ) ), 'c_Wellfounded__Recursion_Owf'(
% 1.20/1.62 'c_Wellfounded__Relations_Olex__prod'( Z, X, T, Y ), 'tc_prod'( T, Y ) )
% 1.20/1.62 ],
% 1.20/1.62 [ 'class_Finite__Set_Ofinite'( 'tc_Datatype_Ooption'( X ) ), ~(
% 1.20/1.62 'class_Finite__Set_Ofinite'( X ) ) ],
% 1.20/1.62 [ 'class_HOL_Ominus'( 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ 'class_HOL_Oone'( 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ 'class_Ring__and__Field_Osemiring'( 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_IntDef_Oint' ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_IntDef_Oint' ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ 'class_OrderedGroup_Oab__group__add'( 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ 'class_Ring__and__Field_Osemiring__0__cancel'( 'tc_IntDef_Oint' ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ 'class_Ring__and__Field_Oring'( 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ 'class_HOL_Oplus'( 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 'tc_IntDef_Oint'
% 1.20/1.62 ) ],
% 1.20/1.62 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ 'class_Ring__and__Field_Oaxclass__0__neq__1'( 'tc_IntDef_Oint' ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ 'class_Ring__and__Field_Osemiring__1__cancel'( 'tc_IntDef_Oint' ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ 'class_Ring__and__Field_Oring__1'( 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 'tc_IntDef_Oint'
% 1.20/1.62 ) ],
% 1.20/1.62 [ 'class_HOL_Otimes'( 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ 'class_Orderings_Oorder'( 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ 'class_LOrder_Omeet__semilorder'( 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ 'class_LOrder_Ojoin__semilorder'( 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ 'class_LOrder_Olorder'( 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ 'class_Orderings_Olinorder'( 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_IntDef_Oint' )
% 1.20/1.62 ],
% 1.20/1.62 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 1.20/1.62 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.20/1.62 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'(
% 1.20/1.62 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ 'class_HOL_Ozero'( 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_IntDef_Oint' ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_IntDef_Oint'
% 1.20/1.62 ) ],
% 1.20/1.62 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_IntDef_Oint'
% 1.20/1.62 ) ],
% 1.20/1.62 [ 'class_Ring__and__Field_Opordered__comm__semiring'( 'tc_IntDef_Oint' )
% 1.20/1.62 ],
% 1.20/1.62 [ 'class_Ring__and__Field_Opordered__cancel__comm__semiring'(
% 1.20/1.62 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.20/1.62 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ 'class_Ring__and__Field_Oaxclass__abs__if'( 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_IntDef_Oint' ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ 'class_OrderedGroup_Olordered__ab__group'( 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ 'class_Orderings_Oord'( 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ 'class_OrderedGroup_Olordered__ab__group__abs'( 'tc_IntDef_Oint' ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ 'class_OrderedGroup_Olordered__ab__group__meet'( 'tc_IntDef_Oint' ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ 'class_OrderedGroup_Olordered__ab__group__join'( 'tc_IntDef_Oint' ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ 'class_Ring__and__Field_Olordered__ring'( 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ 'class_Ring__and__Field_Oaxclass__no__zero__divisors'(
% 1.20/1.62 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_IntDef_Oint' ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ 'class_Ring__and__Field_Oidom'( 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ 'class_Numeral_Onumber'( 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ 'class_OrderedGroup_Osemigroup__add'( 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ 'class_Numeral_Onumber__ring'( 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ 'class_Divides_Odiv'( 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ 'class_Nat_Opower'( 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ 'class_Power_Orecpower'( 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ 'class_Parity_Oeven__odd'( 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ 'class_OrderedGroup_Osemigroup__mult'( 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_IntDef_Oint' ) ],
% 1.20/1.62 [ 'class_Finite__Set_Ofinite'( 'tc_Product__Type_Ounit' ) ],
% 1.20/1.62 [ 'class_Finite__Set_Ofinite'( 'tc_bool' ) ],
% 1.20/1.62 [ 'class_Finite__Set_Ofinite'( 'tc_fun'( X, Y ) ), ~(
% 1.20/1.62 'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 1.20/1.62 ],
% 1.20/1.62 [ 'class_Nat_Opower'( 'tc_fun'( X, Y ) ) ],
% 1.20/1.62 [ 'class_HOL_Oone'( 'tc_nat' ) ],
% 1.20/1.62 [ 'class_HOL_Ozero'( 'tc_nat' ) ],
% 1.20/1.62 [ 'class_HOL_Oplus'( 'tc_nat' ) ],
% 1.20/1.62 [ 'class_HOL_Otimes'( 'tc_nat' ) ],
% 1.20/1.62 [ 'class_Nat_Opower'( 'tc_nat' ) ],
% 1.20/1.62 [ 'class_Ring__and__Field_Oaxclass__0__neq__1'( 'tc_nat' ) ],
% 1.20/1.62 [ 'class_OrderedGroup_Osemigroup__add'( 'tc_nat' ) ],
% 1.20/1.62 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.20/1.62 [ 'class_OrderedGroup_Osemigroup__mult'( 'tc_nat' ) ],
% 1.20/1.62 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.20/1.62 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 1.20/1.62 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 1.20/1.62 [ 'class_Orderings_Oord'( 'tc_nat' ) ],
% 1.20/1.62 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.20/1.62 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 1.20/1.62 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' ) ],
% 1.20/1.62 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 1.20/1.62 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 1.20/1.62 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 1.20/1.62 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.20/1.62 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.20/1.62 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.20/1.62 [ 'class_Ring__and__Field_Osemiring__0__cancel'( 'tc_nat' ) ],
% 1.20/1.62 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.20/1.62 [ 'class_Ring__and__Field_Osemiring__1__cancel'( 'tc_nat' ) ],
% 1.20/1.62 [ 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 'tc_nat' ) ],
% 1.20/1.62 [ 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 'tc_nat' ) ],
% 1.20/1.62 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.20/1.62 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.20/1.62 ],
% 1.20/1.62 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.20/1.62 ) ],
% 1.20/1.62 [ 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.20/1.62 ],
% 1.20/1.62 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 1.20/1.62 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 1.20/1.62 [ 'class_LOrder_Omeet__semilorder'( 'tc_nat' ) ],
% 1.20/1.62 [ 'class_Ring__and__Field_Opordered__comm__semiring'( 'tc_nat' ) ],
% 1.20/1.62 [ 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( 'tc_nat' )
% 1.20/1.62 ],
% 1.20/1.62 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 1.20/1.62 ],
% 1.20/1.62 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.20/1.62 [ 'class_Divides_Odiv'( 'tc_nat' ) ],
% 1.20/1.62 [ 'class_Power_Orecpower'( 'tc_nat' ) ],
% 1.20/1.62 [ 'class_Numeral_Onumber'( 'tc_nat' ) ],
% 1.20/1.62 [ 'class_Parity_Oeven__odd'( 'tc_nat' ) ],
% 1.20/1.62 [ 'class_LOrder_Ojoin__semilorder'( 'tc_nat' ) ],
% 1.20/1.62 [ 'class_LOrder_Olorder'( 'tc_nat' ) ],
% 1.20/1.62 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.20/1.62 [ 'class_Wellfounded__Recursion_Owellorder'( 'tc_nat' ) ],
% 1.20/1.62 [ 'class_HOL_Ominus'( 'tc_nat' ) ],
% 1.20/1.62 [ 'class_Finite__Set_Ofinite'( 'tc_prod'( X, Y ) ), ~(
% 1.20/1.62 'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 1.20/1.62 ],
% 1.20/1.62 [ 'class_HOL_Ominus'( 'tc_set'( X ) ) ],
% 1.20/1.62 [ 'class_Orderings_Oord'( 'tc_set'( X ) ) ],
% 1.20/1.62 [ 'class_Orderings_Oorder'( 'tc_set'( X ) ) ],
% 1.20/1.62 [ 'class_Finite__Set_Ofinite'( 'tc_set'( X ) ), ~(
% 1.20/1.62 'class_Finite__Set_Ofinite'( X ) ) ],
% 1.20/1.62 [ 'class_Nat_Opower'( 'tc_set'( X ) ) ],
% 1.20/1.62 [ 'class_Finite__Set_Ofinite'( 'tc_sum'( X, Y ) ), ~(
% 1.20/1.62 'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 1.20/1.62 ],
% 1.20/1.62 [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ), 'class_Orderings_Oord'( X
% 1.20/1.62 ) ],
% 1.20/1.62 [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ), 'class_Orderings_Oorder'(
% 1.20/1.62 X ) ],
% 1.20/1.62 [ ~( 'class_LOrder_Olorder'( X ) ), 'class_LOrder_Omeet__semilorder'( X
% 1.20/1.62 ) ],
% 1.20/1.62 [ ~( 'class_LOrder_Olorder'( X ) ), 'class_Orderings_Oord'( X ) ],
% 1.20/1.62 [ ~( 'class_LOrder_Olorder'( X ) ), 'class_Orderings_Oorder'( X ) ],
% 1.20/1.62 [ ~( 'class_LOrder_Olorder'( X ) ), 'class_LOrder_Ojoin__semilorder'( X
% 1.20/1.62 ) ],
% 1.20/1.62 [ ~( 'class_LOrder_Omeet__semilorder'( X ) ), 'class_Orderings_Oord'( X
% 1.20/1.62 ) ],
% 1.20/1.62 [ ~( 'class_LOrder_Omeet__semilorder'( X ) ), 'class_Orderings_Oorder'(
% 1.20/1.62 X ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_HOL_Oplus'( X ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.20/1.62 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.20/1.62 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_HOL_Ominus'( X ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.20/1.62 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.20/1.62 'class_Ring__and__Field_Oring'( X ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.20/1.62 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.20/1.62 'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_HOL_Oone'( X ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.20/1.62 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.20/1.62 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.20/1.62 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.20/1.62 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.20/1.62 'class_Ring__and__Field_Oring__1'( X ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.20/1.62 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.20/1.62 'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_HOL_Otimes'( X ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_Numeral_Onumber'( X )
% 1.20/1.62 ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.20/1.62 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.20/1.62 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_HOL_Ozero'( X ) ],
% 1.20/1.62 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 'class_HOL_Ominus'( X
% 1.20/1.62 ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 'class_HOL_Ozero'( X )
% 1.20/1.62 ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 'class_HOL_Oplus'( X )
% 1.20/1.62 ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), 'class_HOL_Oplus'(
% 1.20/1.62 X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ),
% 1.20/1.62 'class_HOL_Otimes'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ),
% 1.20/1.62 'class_HOL_Oplus'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ),
% 1.20/1.62 'class_HOL_Oplus'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'class_HOL_Ozero'(
% 1.20/1.62 X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'class_HOL_Oplus'(
% 1.20/1.62 X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 'class_HOL_Oone'(
% 1.20/1.62 X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 'class_HOL_Otimes'(
% 1.20/1.62 X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 'class_HOL_Oplus'(
% 1.20/1.62 X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.20/1.62 'class_LOrder_Olorder'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.20/1.62 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.20/1.62 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.20/1.62 'class_HOL_Ominus'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 'class_HOL_Ozero'(
% 1.20/1.62 X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.20/1.62 'class_Orderings_Oorder'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.20/1.62 'class_Orderings_Oord'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.20/1.62 'class_HOL_Oplus'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.20/1.62 'class_LOrder_Olorder'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.20/1.62 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.20/1.62 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.20/1.62 'class_Orderings_Oorder'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.20/1.62 'class_Orderings_Oord'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.20/1.62 'class_HOL_Ominus'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.20/1.62 'class_HOL_Ozero'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.20/1.62 'class_HOL_Oplus'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.20/1.62 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.20/1.62 'class_LOrder_Olorder'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.20/1.62 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.20/1.62 'class_HOL_Ominus'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.20/1.62 'class_HOL_Ozero'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.20/1.62 'class_Orderings_Oorder'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.20/1.62 'class_Orderings_Oord'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.20/1.62 'class_HOL_Oplus'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.20/1.62 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.20/1.62 'class_LOrder_Olorder'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.20/1.62 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.20/1.62 'class_HOL_Ominus'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.20/1.62 'class_HOL_Ozero'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.20/1.62 'class_Orderings_Oorder'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.20/1.62 'class_Orderings_Oord'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), 'class_HOL_Oone'( X ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), 'class_HOL_Otimes'( X )
% 1.20/1.62 ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.20/1.62 'class_LOrder_Olorder'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.20/1.62 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.20/1.62 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.20/1.62 'class_Orderings_Oorder'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.20/1.62 'class_Orderings_Oord'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.20/1.62 'class_HOL_Oplus'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.20/1.62 'class_Orderings_Olinorder'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.20/1.62 'class_HOL_Ominus'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.20/1.62 'class_Orderings_Oorder'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.20/1.62 'class_Orderings_Oord'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.20/1.62 'class_HOL_Ozero'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.20/1.62 'class_HOL_Oplus'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.20/1.62 'class_Orderings_Oorder'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.20/1.62 'class_Orderings_Oord'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.20/1.62 'class_HOL_Oplus'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.20/1.62 , 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.20/1.62 , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.20/1.62 , 'class_Orderings_Oorder'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.20/1.62 , 'class_Orderings_Oord'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.20/1.62 , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.20/1.62 , 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.20/1.62 , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.20/1.62 , 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.20/1.62 , 'class_HOL_Oplus'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.20/1.62 'class_Orderings_Oorder'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.20/1.62 'class_Orderings_Oord'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.20/1.62 'class_HOL_Oplus'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), 'class_HOL_Oplus'( X )
% 1.20/1.62 ],
% 1.20/1.62 [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), 'class_HOL_Otimes'( X
% 1.20/1.62 ) ],
% 1.20/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), 'class_LOrder_Olorder'( X ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ),
% 1.20/1.62 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.20/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ),
% 1.20/1.62 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.20/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), 'class_Orderings_Oord'( X ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ ~( 'class_Orderings_Olinorder'( X ) ), 'class_Orderings_Oorder'( X ) ]
% 1.20/1.62 ,
% 1.20/1.62 [ ~( 'class_Orderings_Oorder'( X ) ), 'class_Orderings_Oord'( X ) ],
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ), 'class_Nat_Opower'( X ) ],
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Ozero'( X ) ],
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ), 'class_Ring__and__Field_Osemiring'(
% 1.20/1.62 X ) ],
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.20/1.62 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.20/1.62 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.20/1.62 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ), 'class_OrderedGroup_Omonoid__mult'(
% 1.20/1.62 X ) ],
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.20/1.62 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.20/1.62 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Oone'( X ) ],
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.20/1.62 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.20/1.62 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.20/1.62 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.20/1.62 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.20/1.62 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Oplus'( X ) ],
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Otimes'( X ) ],
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.20/1.62 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ),
% 1.20/1.62 'class_HOL_Ozero'( X ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ),
% 1.20/1.62 'class_HOL_Oone'( X ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ),
% 1.20/1.62 'class_HOL_Ominus'( X ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ),
% 1.20/1.62 'class_Orderings_Oord'( X ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ),
% 1.20/1.62 'class_HOL_Ozero'( X ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ),
% 1.20/1.62 'class_HOL_Ozero'( X ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ),
% 1.20/1.62 'class_HOL_Otimes'( X ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.20/1.62 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.20/1.62 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 'class_HOL_Oplus'( X )
% 1.20/1.62 ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 'class_HOL_Ozero'( X )
% 1.20/1.62 ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 'class_HOL_Ominus'( X
% 1.20/1.62 ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.20/1.62 'class_Ring__and__Field_Oring'( X ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.20/1.62 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.20/1.62 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.20/1.62 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.20/1.62 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 'class_HOL_Otimes'( X
% 1.20/1.62 ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.20/1.62 'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.20/1.62 'class_Ring__and__Field_Oring'( X ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.20/1.62 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Otimes'(
% 1.20/1.62 X ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Ozero'(
% 1.20/1.62 X ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.20/1.62 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.20/1.62 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Oplus'(
% 1.20/1.63 X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Oone'( X
% 1.20/1.63 ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Oring__1'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Ominus'(
% 1.20/1.63 X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 'class_HOL_Oplus'(
% 1.20/1.63 X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 'class_HOL_Otimes'(
% 1.20/1.63 X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.20/1.63 'class_HOL_Oplus'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.20/1.63 'class_HOL_Otimes'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.20/1.63 'class_HOL_Ozero'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 1.20/1.63 'class_HOL_Oplus'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 1.20/1.63 'class_HOL_Ozero'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 1.20/1.63 'class_HOL_Otimes'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.20/1.63 'class_HOL_Ozero'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.20/1.63 'class_HOL_Oplus'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.20/1.63 'class_HOL_Oone'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.20/1.63 'class_HOL_Otimes'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 1.20/1.63 'class_HOL_Ozero'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 1.20/1.63 'class_HOL_Oplus'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 1.20/1.63 'class_HOL_Oone'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 1.20/1.63 'class_HOL_Otimes'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.20/1.63 'class_HOL_Ozero'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.20/1.63 'class_HOL_Oinverse'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Oone'( X ) ]
% 1.20/1.63 ,
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Oring__1'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Otimes'( X ) ]
% 1.20/1.63 ,
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Ozero'( X ) ]
% 1.20/1.63 ,
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Oplus'( X ) ]
% 1.20/1.63 ,
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Oring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Oinverse'( X ) ]
% 1.20/1.63 ,
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Oidom'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Ominus'( X ) ]
% 1.20/1.63 ,
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Oone'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Oring__1'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Otimes'( X ) ]
% 1.20/1.63 ,
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Ozero'( X ) ]
% 1.20/1.63 ,
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Oplus'( X ) ]
% 1.20/1.63 ,
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Oring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Ominus'( X ) ]
% 1.20/1.63 ,
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Opordered__ring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Oring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.20/1.63 'class_Orderings_Oorder'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.20/1.63 'class_Orderings_Oord'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'class_HOL_Otimes'(
% 1.20/1.63 X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'class_HOL_Ozero'(
% 1.20/1.63 X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'class_HOL_Oplus'(
% 1.20/1.63 X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.20/1.63 'class_LOrder_Olorder'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.20/1.63 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.20/1.63 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Olordered__ab__group__join'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'class_HOL_Ominus'(
% 1.20/1.63 X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.20/1.63 'class_HOL_Oplus'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.20/1.63 'class_HOL_Ozero'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.20/1.63 'class_Orderings_Olinorder'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.20/1.63 'class_LOrder_Olorder'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.20/1.63 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.20/1.63 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.20/1.63 'class_Orderings_Oorder'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.20/1.63 'class_Orderings_Oord'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.20/1.63 'class_HOL_Otimes'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Ofield'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.20/1.63 'class_HOL_Oinverse'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Oone'(
% 1.20/1.63 X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Oidom'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Oplus'(
% 1.20/1.63 X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Ozero'(
% 1.20/1.63 X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Otimes'(
% 1.20/1.63 X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Oordered__idom'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Oordered__ring__strict'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.20/1.63 'class_Orderings_Olinorder'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Olordered__ring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Opordered__ring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Olordered__ab__group__join'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Oring__1'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.20/1.63 'class_LOrder_Olorder'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.20/1.63 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.20/1.63 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.20/1.63 'class_Orderings_Oorder'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.20/1.63 'class_Orderings_Oord'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Oring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Oordered__semidom'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Ominus'(
% 1.20/1.63 X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Oone'( X
% 1.20/1.63 ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Oring__1'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Otimes'(
% 1.20/1.63 X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Ozero'(
% 1.20/1.63 X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Oplus'(
% 1.20/1.63 X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Oring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.20/1.63 'class_Orderings_Olinorder'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.20/1.63 'class_LOrder_Olorder'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.20/1.63 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.20/1.63 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.20/1.63 'class_Orderings_Oorder'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.20/1.63 'class_Orderings_Oord'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Oordered__ring__strict'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Olordered__ring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Opordered__ring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Ominus'(
% 1.20/1.63 X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Olordered__ab__group__join'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Oordered__semidom'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Oidom'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Oring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.20/1.63 'class_HOL_Oplus'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.20/1.63 'class_HOL_Ozero'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.20/1.63 'class_Orderings_Olinorder'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.20/1.63 'class_LOrder_Olorder'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.20/1.63 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.20/1.63 'class_HOL_Ominus'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.20/1.63 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.20/1.63 'class_Orderings_Oorder'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.20/1.63 'class_Orderings_Oord'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Olordered__ring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Opordered__ring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Olordered__ab__group__join'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.20/1.63 'class_HOL_Otimes'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.20/1.63 'class_HOL_Otimes'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.20/1.63 'class_HOL_Ozero'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.20/1.63 'class_HOL_Oplus'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.20/1.63 'class_Orderings_Olinorder'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.20/1.63 'class_LOrder_Olorder'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.20/1.63 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.20/1.63 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.20/1.63 'class_Orderings_Oorder'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.20/1.63 'class_Orderings_Oord'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'class_HOL_Oone'(
% 1.20/1.63 X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.20/1.63 'class_Orderings_Olinorder'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.20/1.63 'class_LOrder_Olorder'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.20/1.63 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.20/1.63 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.20/1.63 'class_Orderings_Oorder'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.20/1.63 'class_Orderings_Oord'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.20/1.63 'class_HOL_Otimes'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.20/1.63 'class_HOL_Oplus'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.20/1.63 'class_HOL_Ozero'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.20/1.63 'class_HOL_Oplus'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.20/1.63 'class_Orderings_Oorder'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.20/1.63 'class_Orderings_Oord'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring__0'( X ) ],
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% 1.20/1.63 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.20/1.63 'class_HOL_Otimes'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ),
% 1.20/1.63 'class_HOL_Ozero'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Opordered__semiring'( X ) ],
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% 1.20/1.63 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.20/1.63 'class_HOL_Oplus'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.20/1.63 'class_Orderings_Oorder'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.20/1.63 'class_Orderings_Oord'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.20/1.63 'class_HOL_Otimes'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.20/1.63 'class_HOL_Ozero'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Oring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.20/1.63 'class_HOL_Otimes'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.20/1.63 'class_HOL_Ozero'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.20/1.63 'class_HOL_Oplus'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.20/1.63 'class_Orderings_Oorder'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.20/1.63 'class_Orderings_Oord'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.20/1.63 'class_HOL_Ominus'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.20/1.63 'class_HOL_Oplus'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.20/1.63 'class_HOL_Ozero'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.20/1.63 'class_Orderings_Oorder'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.20/1.63 'class_Orderings_Oord'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.20/1.63 'class_HOL_Otimes'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Oring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'class_HOL_Oplus'(
% 1.20/1.63 X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'class_HOL_Ozero'(
% 1.20/1.63 X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.20/1.63 'class_Orderings_Oorder'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.20/1.63 'class_Orderings_Oord'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'class_HOL_Ominus'(
% 1.20/1.63 X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'class_HOL_Otimes'(
% 1.20/1.63 X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.20/1.63 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.20/1.63 'class_Orderings_Oorder'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.20/1.63 'class_Orderings_Oord'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.20/1.63 'class_HOL_Otimes'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.20/1.63 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.20/1.63 'class_HOL_Oplus'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.20/1.63 'class_HOL_Ozero'( X ) ],
% 1.20/1.63 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.24/1.63 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.24/1.63 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.24/1.63 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.24/1.63 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.24/1.63 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.24/1.63 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.24/1.63 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.24/1.63 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oring'( X ) ), 'class_HOL_Oplus'( X ) ]
% 1.24/1.63 ,
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.24/1.63 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oring'( X ) ), 'class_HOL_Otimes'( X ) ]
% 1.24/1.63 ,
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.24/1.63 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oring'( X ) ), 'class_HOL_Ominus'( X ) ]
% 1.24/1.63 ,
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.24/1.63 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oring'( X ) ), 'class_HOL_Ozero'( X ) ]
% 1.24/1.63 ,
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.24/1.63 'class_Ring__and__Field_Oring'( X ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.24/1.63 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.24/1.63 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.24/1.63 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.24/1.63 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Oplus'( X ) ]
% 1.24/1.63 ,
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Ozero'( X ) ]
% 1.24/1.63 ,
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.24/1.63 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.24/1.63 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.24/1.63 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Oone'( X ) ]
% 1.24/1.63 ,
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.24/1.63 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Ominus'( X ) ]
% 1.24/1.63 ,
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.24/1.63 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.24/1.63 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.24/1.63 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.24/1.63 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.24/1.63 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.24/1.63 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Otimes'( X ) ]
% 1.24/1.63 ,
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ),
% 1.24/1.63 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ),
% 1.24/1.63 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 'class_HOL_Oplus'( X ) ]
% 1.24/1.63 ,
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ),
% 1.24/1.63 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 'class_HOL_Otimes'( X )
% 1.24/1.63 ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 1.24/1.63 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 1.24/1.63 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 1.24/1.63 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 'class_HOL_Oplus'( X
% 1.24/1.63 ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 1.24/1.63 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 'class_HOL_Otimes'( X
% 1.24/1.63 ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 1.24/1.63 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 'class_HOL_Ozero'( X
% 1.24/1.63 ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.24/1.63 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.24/1.63 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.24/1.63 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.24/1.63 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.24/1.63 'class_HOL_Otimes'( X ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.24/1.63 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.24/1.63 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.24/1.63 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.24/1.63 'class_HOL_Oplus'( X ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.24/1.63 'class_HOL_Ozero'( X ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.24/1.63 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 1.24/1.63 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'class_HOL_Ozero'( X
% 1.24/1.63 ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'class_HOL_Oplus'( X
% 1.24/1.63 ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 1.24/1.63 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'class_HOL_Oone'( X )
% 1.24/1.63 ],
% 1.24/1.63 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 1.24/1.64 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 1.24/1.64 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 1.24/1.64 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'class_HOL_Otimes'( X
% 1.24/1.64 ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 1.24/1.64 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 1.24/1.64 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 1.24/1.64 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.24/1.64 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.24/1.64 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.24/1.64 'class_HOL_Oone'( X ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.24/1.64 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.24/1.64 'class_HOL_Otimes'( X ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.24/1.64 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.24/1.64 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.24/1.64 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.24/1.64 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.24/1.64 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.24/1.64 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.24/1.64 'class_HOL_Ozero'( X ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.24/1.64 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.24/1.64 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.24/1.64 'class_HOL_Oplus'( X ) ],
% 1.24/1.64 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.24/1.64 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.24/1.64 [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 1.24/1.64 'class_Orderings_Oord'( X ) ],
% 1.24/1.64 [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 1.24/1.64 'class_Orderings_Oorder'( X ) ],
% 1.24/1.64 [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 1.24/1.64 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.24/1.64 [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 1.24/1.64 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.24/1.64 [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 1.24/1.64 'class_LOrder_Olorder'( X ) ],
% 1.24/1.64 [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 1.24/1.64 'class_Orderings_Olinorder'( X ) ],
% 1.24/1.64 [ ~( 'c_PropLog_Osat'( 'c_emptyset', X, Y ) ), 'c_in'( X,
% 1.24/1.64 'c_PropLog_Othms'( 'c_minus'( 'c_PropLog_Ohyps'( X, Z, Y ),
% 1.24/1.64 'c_PropLog_Ohyps'( X, T, Y ), 'tc_set'( 'tc_PropLog_Opl'( Y ) ) ), Y ),
% 1.24/1.64 'tc_PropLog_Opl'( Y ) ) ],
% 1.24/1.64 [ ~( 'c_in'( X, 'c_PropLog_Othms'( 'c_insert'( Y, Z, 'tc_PropLog_Opl'( T
% 1.24/1.64 ) ), T ), 'tc_PropLog_Opl'( T ) ) ), 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'(
% 1.24/1.64 Y, X, T ), 'c_PropLog_Othms'( Z, T ), 'tc_PropLog_Opl'( T ) ) ],
% 1.24/1.64 [ ~( 'c_PropLog_Oeval'( X, Y, Z ) ), ~( 'c_PropLog_Oeval'( X,
% 1.24/1.64 'c_PropLog_Opl_Oop_A_N_62'( Y, T, Z ), Z ) ), 'c_PropLog_Oeval'( X, T, Z
% 1.24/1.64 ) ],
% 1.24/1.64 [ 'c_PropLog_Oeval'( X, Y, Z ), 'c_PropLog_Oeval'( X,
% 1.24/1.64 'c_PropLog_Opl_Oop_A_N_62'( Y, T, Z ), Z ) ],
% 1.24/1.64 [ ~( 'c_PropLog_Oeval'( X, Y, Z ) ), 'c_PropLog_Oeval'( X,
% 1.24/1.64 'c_PropLog_Opl_Oop_A_N_62'( T, Y, Z ), Z ) ],
% 1.24/1.64 [ ~( 'c_PropLog_Oeval'( X, 'c_PropLog_Opl_Ofalse', Y ) ) ],
% 1.24/1.64 [ ~( 'c_PropLog_Oeval'( X, 'c_PropLog_Opl_Ovar'( Y, Z ), Z ) ), 'c_in'(
% 1.24/1.64 Y, X, Z ) ],
% 1.24/1.64 [ ~( 'c_in'( X, Y, Z ) ), 'c_PropLog_Oeval'( Y, 'c_PropLog_Opl_Ovar'( X
% 1.24/1.64 , Z ), Z ) ],
% 1.24/1.64 [ =( 'c_PropLog_Ohyps'( 'c_PropLog_Opl_Ofalse', X, Y ), 'c_emptyset' ) ]
% 1.24/1.64 ,
% 1.24/1.64 [ =( 'c_PropLog_Ohyps'( 'c_PropLog_Opl_Oop_A_N_62'( X, Y, Z ), T, Z ),
% 1.24/1.64 'c_union'( 'c_PropLog_Ohyps'( X, T, Z ), 'c_PropLog_Ohyps'( Y, T, Z ),
% 1.24/1.64 'tc_PropLog_Opl'( Z ) ) ) ],
% 1.24/1.64 [ ~( =( 'c_PropLog_Opl_Ofalse', 'c_PropLog_Opl_Ovar'( X, Y ) ) ) ],
% 1.24/1.64 [ ~( =( 'c_PropLog_Opl_Ovar'( X, Y ), 'c_PropLog_Opl_Ofalse' ) ) ],
% 1.24/1.64 [ ~( =( 'c_PropLog_Opl_Ofalse', 'c_PropLog_Opl_Oop_A_N_62'( X, Y, Z ) )
% 1.24/1.64 ) ],
% 1.24/1.64 [ ~( =( 'c_PropLog_Opl_Oop_A_N_62'( X, Y, Z ), 'c_PropLog_Opl_Ofalse' )
% 1.24/1.64 ) ],
% 1.24/1.64 [ ~( =( 'c_PropLog_Opl_Ovar'( X, Y ), 'c_PropLog_Opl_Oop_A_N_62'( Z, T,
% 1.24/1.64 Y ) ) ) ],
% 1.24/1.64 [ ~( =( 'c_PropLog_Opl_Oop_A_N_62'( X, Y, Z ), 'c_PropLog_Opl_Ovar'( T,
% 1.24/1.64 Z ) ) ) ],
% 1.24/1.64 [ ~( =( 'c_PropLog_Opl_Ovar'( X, Y ), 'c_PropLog_Opl_Ovar'( Z, Y ) ) ),
% 1.24/1.64 =( X, Z ) ],
% 1.24/1.64 [ ~( =( 'c_PropLog_Opl_Oop_A_N_62'( X, Y, Z ),
% 1.24/1.64 'c_PropLog_Opl_Oop_A_N_62'( T, U, Z ) ) ), =( X, T ) ],
% 1.24/1.64 [ ~( =( 'c_PropLog_Opl_Oop_A_N_62'( X, Y, Z ),
% 1.24/1.64 'c_PropLog_Opl_Oop_A_N_62'( T, U, Z ) ) ), =( Y, U ) ],
% 1.24/1.64 [ =( 'c_Nat_Osize'( 'c_PropLog_Opl_Ofalse', 'tc_PropLog_Opl'( X ) ),
% 1.24/1.64 'c_0' ) ],
% 1.24/1.64 [ =( 'c_Nat_Osize'( 'c_PropLog_Opl_Ovar'( X, Y ), 'tc_PropLog_Opl'( Y )
% 1.24/1.64 ), 'c_0' ) ],
% 1.24/1.64 [ =( 'c_Nat_Osize'( 'c_PropLog_Opl_Oop_A_N_62'( X, Y, Z ),
% 1.24/1.64 'tc_PropLog_Opl'( Z ) ), 'c_plus'( 'c_plus'( 'c_Nat_Osize'( X,
% 1.24/1.64 'tc_PropLog_Opl'( Z ) ), 'c_Nat_Osize'( Y, 'tc_PropLog_Opl'( Z ) ),
% 1.24/1.64 'tc_nat' ), 'c_Suc'( 'c_0' ), 'tc_nat' ) ) ],
% 1.24/1.64 [ ~( 'c_in'( X, Y, 'tc_PropLog_Opl'( Z ) ) ), 'c_in'( X,
% 1.24/1.64 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ],
% 1.24/1.64 [ ~( 'c_in'( X, 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ),
% 1.24/1.64 ~( 'c_in'( 'c_PropLog_Opl_Oop_A_N_62'( X, T, Z ), Y, 'tc_PropLog_Opl'( Z
% 1.24/1.64 ) ) ), 'c_in'( T, 'c_PropLog_Othms'( Y, Z ), 'tc_PropLog_Opl'( Z ) ) ]
% 1.24/1.64 ,
% 1.24/1.64 [ 'c_PropLog_Osat'( 'c_emptyset', 'v_p', 't_a' ) ],
% 1.24/1.64 [ ~( 'c_in'( 'v_p', 'c_PropLog_Othms'( 'c_emptyset', 't_a' ),
% 1.24/1.64 'tc_PropLog_Opl'( 't_a' ) ) ) ]
% 1.24/1.64 ] .
% 1.24/1.64
% 1.24/1.64
% 1.24/1.64 percentage equality = 0.213714, percentage horn = 0.909489
% 1.24/1.64 This is a problem with some equality
% 1.24/1.64
% 1.24/1.64
% 1.24/1.64
% 1.24/1.64 Options Used:
% 1.24/1.64
% 1.24/1.64 useres = 1
% 1.24/1.64 useparamod = 1
% 1.24/1.64 useeqrefl = 1
% 1.24/1.64 useeqfact = 1
% 1.24/1.64 usefactor = 1
% 1.24/1.64 usesimpsplitting = 0
% 1.24/1.64 usesimpdemod = 5
% 1.24/1.64 usesimpres = 3
% 1.24/1.64
% 1.24/1.64 resimpinuse = 1000
% 1.24/1.64 resimpclauses = 20000
% 1.24/1.64 substype = eqrewr
% 1.24/1.64 backwardsubs = 1
% 1.24/1.64 selectoldest = 5
% 1.24/1.64
% 1.24/1.64 litorderings [0] = split
% 1.24/1.64 litorderings [1] = extend the termordering, first sorting on arguments
% 1.24/1.64
% 1.24/1.64 termordering = kbo
% 1.24/1.64
% 1.24/1.64 litapriori = 0
% 1.24/1.64 termapriori = 1
% 1.24/1.64 litaposteriori = 0
% 1.24/1.64 termaposteriori = 0
% 1.24/1.64 demodaposteriori = 0
% 1.24/1.64 ordereqreflfact = 0
% 1.24/1.64
% 1.24/1.64 litselect = negord
% 1.24/1.64
% 1.24/1.64 maxweight = 15
% 1.24/1.64 maxdepth = 30000
% 1.24/1.64 maxlength = 115
% 1.24/1.64 maxnrvars = 195
% 1.24/1.64 excuselevel = 1
% 1.24/1.64 increasemaxweight = 1
% 1.24/1.64
% 1.24/1.64 maxselected = 10000000
% 1.24/1.64 maxnrclauses = 10000000
% 1.24/1.64
% 1.24/1.64 showgenerated = 0
% 1.24/1.64 showkept = 0
% 1.24/1.64 showselected = 0
% 1.24/1.64 showdeleted = 0
% 1.24/1.64 showresimp = 1
% 1.24/1.64 showstatus = 2000
% 1.24/1.64
% 1.24/1.64 prologoutput = 1
% 1.24/1.64 nrgoals = 5000000
% 1.24/1.64 totalproof = 1
% 1.24/1.64
% 1.24/1.64 Symbols occurring in the translation:
% 1.24/1.64
% 1.24/1.64 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.24/1.64 . [1, 2] (w:1, o:243, a:1, s:1, b:0),
% 1.24/1.64 ! [4, 1] (w:0, o:150, a:1, s:1, b:0),
% 1.24/1.64 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.24/1.64 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.24/1.64 'c_0' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 1.24/1.64 'c_Suc' [41, 1] (w:1, o:155, a:1, s:1, b:0),
% 1.24/1.64 'c_Binomial_Obinomial' [42, 2] (w:1, o:268, a:1, s:1, b:0),
% 1.24/1.64 'tc_nat' [45, 0] (w:1, o:33, a:1, s:1, b:0),
% 1.24/1.64 'c_plus' [46, 3] (w:1, o:347, a:1, s:1, b:0),
% 1.24/1.64 'c_1' [47, 0] (w:1, o:34, a:1, s:1, b:0),
% 1.24/1.64 'c_Datatype_Oo2s' [51, 2] (w:1, o:269, a:1, s:1, b:0),
% 1.24/1.64 'c_in' [52, 3] (w:1, o:348, a:1, s:1, b:0),
% 1.24/1.64 'c_Datatype_Ooption_OSome' [53, 2] (w:1, o:270, a:1, s:1, b:0),
% 1.24/1.64 'c_Datatype_Ooption_ONone' [54, 0] (w:1, o:36, a:1, s:1, b:0),
% 1.24/1.64 'c_Main_Onot__None__eq__1' [55, 2] (w:1, o:291, a:1, s:1, b:0),
% 1.24/1.64 'c_Main_Onot__Some__eq__1' [56, 2] (w:1, o:292, a:1, s:1, b:0),
% 1.24/1.64 'c_emptyset' [58, 0] (w:1, o:38, a:1, s:1, b:0),
% 1.24/1.64 'c_insert' [59, 3] (w:1, o:349, a:1, s:1, b:0),
% 1.24/1.64 'tc_Datatype_Ooption' [62, 1] (w:1, o:156, a:1, s:1, b:0),
% 1.24/1.64 'c_Nat_Osize' [63, 2] (w:1, o:305, a:1, s:1, b:0),
% 1.24/1.64 'c_Pair' [66, 4] (w:1, o:415, a:1, s:1, b:0),
% 1.24/1.64 'tc_prod' [67, 2] (w:1, o:306, a:1, s:1, b:0),
% 1.24/1.64 'c_Sum__Type_OInl' [68, 3] (w:1, o:353, a:1, s:1, b:0),
% 1.24/1.64 'tc_sum' [69, 2] (w:1, o:307, a:1, s:1, b:0),
% 1.24/1.64 'c_Sum__Type_OInr' [70, 3] (w:1, o:354, a:1, s:1, b:0),
% 1.24/1.64 'c_Datatype_Othe' [71, 2] (w:1, o:308, a:1, s:1, b:0),
% 1.24/1.64 'c_Product__Type_OUnity' [72, 0] (w:1, o:45, a:1, s:1, b:0),
% 1.24/1.64 'c_Datatype_Ounit_Ounit__case' [73, 3] (w:1, o:355, a:1, s:1, b:0),
% 1.24/1.64 'c_Datatype_Ounit_Ounit__rec' [74, 3] (w:1, o:356, a:1, s:1, b:0),
% 1.24/1.64 'tc_Product__Type_Ounit' [75, 0] (w:1, o:46, a:1, s:1, b:0),
% 1.24/1.64 'c_Datatype__Universe_OAtom' [76, 3] (w:1, o:357, a:1, s:1, b:0),
% 1.24/1.64 'c_Datatype__Universe_OScons' [79, 4] (w:1, o:416, a:1, s:1, b:0),
% 1.24/1.64 'c_Datatype__Universe_Odprod' [82, 4] (w:1, o:417, a:1, s:1, b:0),
% 1.24/1.64 'tc_Datatype__Universe_Onode' [83, 2] (w:1, o:309, a:1, s:1, b:0),
% 1.24/1.64 'tc_set' [84, 1] (w:1, o:157, a:1, s:1, b:0),
% 1.24/1.64 'c_Relation_ODomain' [85, 3] (w:1, o:350, a:1, s:1, b:0),
% 1.24/1.64 'c_Datatype__Universe_Ouprod' [86, 4] (w:1, o:418, a:1, s:1, b:0),
% 1.24/1.64 'c_Datatype__Universe_Odsum' [87, 4] (w:1, o:419, a:1, s:1, b:0),
% 1.24/1.64 'c_Datatype__Universe_Ousum' [88, 4] (w:1, o:420, a:1, s:1, b:0),
% 1.24/1.64 'c_Datatype__Universe_OIn0' [89, 3] (w:1, o:358, a:1, s:1, b:0),
% 1.24/1.64 'c_Datatype__Universe_OIn1' [90, 3] (w:1, o:359, a:1, s:1, b:0),
% 1.24/1.64 'c_Datatype__Universe_OLeaf' [91, 3] (w:1, o:360, a:1, s:1, b:0),
% 1.24/1.64 'c_Datatype__Universe_ONumb' [92, 3] (w:1, o:361, a:1, s:1, b:0),
% 1.24/1.64 'c_Datatype__Universe_Ontrunc' [95, 4] (w:1, o:421, a:1, s:1, b:0),
% 1.24/1.64 'c_div' [97, 3] (w:1, o:362, a:1, s:1, b:0),
% 1.24/1.64 'c_Divides_Oop_Amod' [98, 3] (w:1, o:363, a:1, s:1, b:0),
% 1.24/1.64 'c_lessequals' [100, 3] (w:1, o:364, a:1, s:1, b:0),
% 1.24/1.64 'c_less' [101, 3] (w:1, o:365, a:1, s:1, b:0),
% 1.24/1.64 'c_times' [103, 3] (w:1, o:367, a:1, s:1, b:0),
% 1.24/1.64 'c_Divides_Oop_Advd' [104, 3] (w:1, o:368, a:1, s:1, b:0),
% 1.24/1.64 'c_Equiv__Relations_Oquotient' [106, 3] (w:1, o:369, a:1, s:1, b:0),
% 1.24/1.64
% 1.24/1.64 'c_Extraction_Osumbool_OLeft' [108, 0] (w:1, o:75, a:1, s:1, b:0),
% 1.24/1.64 'c_Extraction_Osumbool_Osumbool__case' [109, 4] (w:1, o:422, a:1, s:1
% 1.24/1.64 , b:0),
% 1.24/1.64 'c_Extraction_Osumbool_ORight' [111, 0] (w:1, o:76, a:1, s:1, b:0),
% 1.24/1.64 'c_Extraction_Osumbool_Osumbool__rec' [112, 4] (w:1, o:423, a:1, s:1
% 1.24/1.64 , b:0),
% 1.24/1.64 'tc_Extraction_Osumbool' [113, 0] (w:1, o:77, a:1, s:1, b:0),
% 1.24/1.64 'class_Orderings_Olinorder' [114, 1] (w:1, o:161, a:1, s:1, b:0),
% 1.24/1.64 'c_Finite__Set_OFinites' [115, 0] (w:1, o:78, a:1, s:1, b:0),
% 1.24/1.64 'c_Finite__Set_OMax' [116, 2] (w:1, o:310, a:1, s:1, b:0),
% 1.24/1.64 'c_Orderings_Omax' [117, 3] (w:1, o:380, a:1, s:1, b:0),
% 1.24/1.64 'c_Main_OMax__le__iff__1' [119, 3] (w:1, o:396, a:1, s:1, b:0),
% 1.24/1.64 'c_Main_OMax__less__iff__1' [120, 3] (w:1, o:397, a:1, s:1, b:0),
% 1.24/1.64 'c_Finite__Set_OMin' [121, 2] (w:1, o:311, a:1, s:1, b:0),
% 1.24/1.64 'c_Main_OMin__ge__iff__1' [122, 3] (w:1, o:398, a:1, s:1, b:0),
% 1.24/1.64 'c_Main_OMin__gr__iff__1' [123, 3] (w:1, o:399, a:1, s:1, b:0),
% 1.24/1.64 'c_Orderings_Omin' [124, 3] (w:1, o:400, a:1, s:1, b:0),
% 1.24/1.64 'c_Finite__Set_Ocard' [125, 2] (w:1, o:312, a:1, s:1, b:0),
% 1.24/1.64 'c_minus' [128, 3] (w:1, o:401, a:1, s:1, b:0),
% 1.24/1.64 'c_Pow' [129, 2] (w:1, o:315, a:1, s:1, b:0),
% 1.24/1.64 'c_union' [132, 3] (w:1, o:402, a:1, s:1, b:0),
% 1.24/1.64 'c_Relation_Oconverse' [133, 3] (w:1, o:351, a:1, s:1, b:0),
% 1.24/1.64 'c_NatArith_Oof__nat' [134, 2] (w:1, o:316, a:1, s:1, b:0),
% 1.24/1.64 'c_Fun_Oid' [135, 2] (w:1, o:317, a:1, s:1, b:0),
% 1.24/1.64 'c_GCD_Ogcd' [136, 1] (w:1, o:162, a:1, s:1, b:0),
% 1.24/1.64 'c_UNIV' [137, 0] (w:1, o:85, a:1, s:1, b:0),
% 1.24/1.64 'class_Numeral_Onumber__ring' [138, 1] (w:1, o:158, a:1, s:1, b:0),
% 1.24/1.64 'class_Ring__and__Field_Oordered__idom' [139, 1] (w:1, o:163, a:1, s:
% 1.24/1.64 1, b:0),
% 1.24/1.64 'c_Numeral_OMin' [140, 0] (w:1, o:86, a:1, s:1, b:0),
% 1.24/1.64 'c_Numeral_Onumber__of' [141, 2] (w:1, o:318, a:1, s:1, b:0),
% 1.24/1.64 'c_HOL_Oabs' [142, 2] (w:1, o:319, a:1, s:1, b:0),
% 1.24/1.64 'class_Power_Orecpower' [143, 1] (w:1, o:185, a:1, s:1, b:0),
% 1.24/1.64 'c_Nat_Opower' [144, 3] (w:1, o:379, a:1, s:1, b:0),
% 1.24/1.64 'c_Numeral_OPls' [145, 0] (w:1, o:87, a:1, s:1, b:0),
% 1.24/1.64 'c_Numeral_Obin__minus' [146, 1] (w:1, o:186, a:1, s:1, b:0),
% 1.24/1.64 'c_Numeral_Obin__add' [147, 2] (w:1, o:320, a:1, s:1, b:0),
% 1.24/1.64 'c_IntDef_Oneg' [148, 2] (w:1, o:322, a:1, s:1, b:0),
% 1.24/1.64 'c_Numeral_Obit_OB1' [149, 0] (w:1, o:89, a:1, s:1, b:0),
% 1.24/1.64 'c_Numeral_OBit' [150, 2] (w:1, o:323, a:1, s:1, b:0),
% 1.24/1.64 'c_Numeral_Obit_OB0' [151, 0] (w:1, o:88, a:1, s:1, b:0),
% 1.24/1.64 'c_IntDef_Oiszero' [154, 2] (w:1, o:324, a:1, s:1, b:0),
% 1.24/1.64 'c_IntDef_Oint' [155, 1] (w:1, o:187, a:1, s:1, b:0),
% 1.24/1.64 'tc_IntDef_Oint' [156, 0] (w:1, o:90, a:1, s:1, b:0),
% 1.24/1.64 'c_IntDef_Onat' [157, 1] (w:1, o:188, a:1, s:1, b:0),
% 1.24/1.64 'c_IntDef_Oof__int' [158, 2] (w:1, o:325, a:1, s:1, b:0),
% 1.24/1.64 'c_uminus' [160, 2] (w:1, o:326, a:1, s:1, b:0),
% 1.24/1.64 'c_IntDef_OInteg' [161, 0] (w:1, o:94, a:1, s:1, b:0),
% 1.24/1.64 'c_IntDef_OAbs__Integ' [162, 1] (w:1, o:189, a:1, s:1, b:0),
% 1.24/1.64 'c_IntDef_ORep__Integ' [163, 1] (w:1, o:190, a:1, s:1, b:0),
% 1.24/1.64 'class_Ring__and__Field_Ocomm__ring__1' [164, 1] (w:1, o:191, a:1, s:
% 1.24/1.64 1, b:0),
% 1.24/1.64 'c_IntDef_OInts' [165, 0] (w:1, o:95, a:1, s:1, b:0),
% 1.24/1.64 'class_Ring__and__Field_Ocomm__semiring__1__cancel' [166, 1] (w:1, o:
% 1.24/1.64 195, a:1, s:1, b:0),
% 1.24/1.64 'c_IntDef_ONats' [167, 0] (w:1, o:96, a:1, s:1, b:0),
% 1.24/1.64 'c_IntDef_Ointrel' [168, 0] (w:1, o:97, a:1, s:1, b:0),
% 1.24/1.64 'c_Relation_OImage' [169, 4] (w:1, o:424, a:1, s:1, b:0),
% 1.24/1.64 'c_IntDiv_OposDivAlg' [171, 1] (w:1, o:196, a:1, s:1, b:0),
% 1.24/1.64 'c_IntDiv_OnegateSnd' [172, 1] (w:1, o:197, a:1, s:1, b:0),
% 1.24/1.64 'c_fst' [173, 3] (w:1, o:403, a:1, s:1, b:0),
% 1.24/1.64 'c_IntDiv_OnegDivAlg' [174, 1] (w:1, o:198, a:1, s:1, b:0),
% 1.24/1.64 'c_snd' [175, 3] (w:1, o:366, a:1, s:1, b:0),
% 1.24/1.64 'c_IntDiv_Oadjust' [176, 2] (w:1, o:327, a:1, s:1, b:0),
% 1.24/1.64 'class_LOrder_Ojoin__semilorder' [179, 1] (w:1, o:199, a:1, s:1, b:0)
% 1.24/1.64 ,
% 1.24/1.64 'c_LOrder_Ojoin' [180, 3] (w:1, o:381, a:1, s:1, b:0),
% 1.24/1.64 'class_LOrder_Omeet__semilorder' [181, 1] (w:1, o:201, a:1, s:1, b:0)
% 1.24/1.64 ,
% 1.24/1.64 'c_LOrder_Omeet' [182, 3] (w:1, o:382, a:1, s:1, b:0),
% 1.24/1.64 'c_List_Olist_OCons' [184, 3] (w:1, o:383, a:1, s:1, b:0),
% 1.24/1.64 'tc_List_Olist' [186, 1] (w:1, o:202, a:1, s:1, b:0),
% 1.24/1.64 'c_List_Olex' [187, 2] (w:1, o:271, a:1, s:1, b:0),
% 1.24/1.64 'c_List_Olist_ONil' [188, 0] (w:1, o:98, a:1, s:1, b:0),
% 1.24/1.64 'c_List_Oset' [190, 2] (w:1, o:275, a:1, s:1, b:0),
% 1.24/1.64 'c_List_Oconcat' [191, 2] (w:1, o:277, a:1, s:1, b:0),
% 1.24/1.64 'c_Main_ONil__eq__concat__conv__1' [192, 2] (w:1, o:293, a:1, s:1, b:
% 1.24/1.64 0),
% 1.24/1.64 'c_append' [193, 3] (w:1, o:404, a:1, s:1, b:0),
% 1.24/1.64 'c_List_Orev' [194, 2] (w:1, o:272, a:1, s:1, b:0),
% 1.24/1.64 'c_List_Obutlast' [196, 2] (w:1, o:276, a:1, s:1, b:0),
% 1.24/1.64 'c_List_Olast' [197, 2] (w:1, o:278, a:1, s:1, b:0),
% 1.24/1.64 'c_List_Olists' [200, 2] (w:1, o:280, a:1, s:1, b:0),
% 1.24/1.64 'c_List_Otake' [201, 3] (w:1, o:387, a:1, s:1, b:0),
% 1.24/1.64 'c_List_Odrop' [202, 3] (w:1, o:388, a:1, s:1, b:0),
% 1.24/1.64 'c_List_Ochar_OChar' [205, 2] (w:1, o:281, a:1, s:1, b:0),
% 1.24/1.64 'tc_List_Ochar' [208, 0] (w:1, o:104, a:1, s:1, b:0),
% 1.24/1.64 'c_Main_Oconcat__eq__Nil__conv__1' [209, 2] (w:1, o:294, a:1, s:1, b:
% 1.24/1.64 0),
% 1.24/1.64 'c_List_Orotate1' [210, 2] (w:1, o:273, a:1, s:1, b:0),
% 1.24/1.64 'c_List_Odistinct' [211, 2] (w:1, o:282, a:1, s:1, b:0),
% 1.24/1.64 'c_inter' [212, 3] (w:1, o:405, a:1, s:1, b:0),
% 1.24/1.64 'c_List_Oremove1' [213, 3] (w:1, o:389, a:1, s:1, b:0),
% 1.24/1.64 'c_List_Orotate' [214, 3] (w:1, o:390, a:1, s:1, b:0),
% 1.24/1.64 'c_List_Osublist' [216, 3] (w:1, o:385, a:1, s:1, b:0),
% 1.24/1.64 'c_List_Oupt' [218, 2] (w:1, o:284, a:1, s:1, b:0),
% 1.24/1.64 'c_List_Oreplicate' [219, 3] (w:1, o:384, a:1, s:1, b:0),
% 1.24/1.64 'c_List_Ohd' [220, 2] (w:1, o:285, a:1, s:1, b:0),
% 1.24/1.64 'c_List_Otl' [221, 2] (w:1, o:283, a:1, s:1, b:0),
% 1.24/1.64 'c_List_Oitrev' [222, 3] (w:1, o:391, a:1, s:1, b:0),
% 1.24/1.64 'c_List_Olist__update' [224, 4] (w:1, o:425, a:1, s:1, b:0),
% 1.24/1.64 'c_List_Oremdups' [225, 2] (w:1, o:274, a:1, s:1, b:0),
% 1.24/1.64 'c_List_Ozip' [226, 4] (w:1, o:426, a:1, s:1, b:0),
% 1.24/1.64 'c_List_Olexn' [227, 3] (w:1, o:392, a:1, s:1, b:0),
% 1.24/1.64 'c_List_Olexord' [228, 2] (w:1, o:286, a:1, s:1, b:0),
% 1.24/1.64 'c_Main_Olexord__Nil__left__1' [229, 2] (w:1, o:295, a:1, s:1, b:0),
% 1.24/1.64
% 1.24/1.64 'c_Main_Olexord__Nil__left__2' [230, 2] (w:1, o:296, a:1, s:1, b:0),
% 1.24/1.64
% 1.24/1.64 'c_List_Olist__inter' [236, 3] (w:1, o:393, a:1, s:1, b:0),
% 1.24/1.64 'c_List_Onth' [237, 3] (w:1, o:394, a:1, s:1, b:0),
% 1.24/1.64 'c_List_Olistrel' [238, 2] (w:1, o:279, a:1, s:1, b:0),
% 1.24/1.64 'c_List_Olistset' [239, 2] (w:1, o:287, a:1, s:1, b:0),
% 1.24/1.64 'c_List_Oset__Cons' [241, 3] (w:1, o:386, a:1, s:1, b:0),
% 1.24/1.64 'c_List_Onibble_ONibble9' [255, 0] (w:1, o:116, a:1, s:1, b:0),
% 1.24/1.64 'c_List_Onibble_Onibble__case' [256, 18] (w:1, o:459, a:1, s:1, b:0)
% 1.24/1.64 ,
% 1.24/1.64 'c_List_Onibble_ONibbleA' [258, 0] (w:1, o:117, a:1, s:1, b:0),
% 1.24/1.64 'c_List_Onibble_ONibbleB' [259, 0] (w:1, o:118, a:1, s:1, b:0),
% 1.24/1.64 'c_List_Onibble_ONibbleC' [260, 0] (w:1, o:119, a:1, s:1, b:0),
% 1.24/1.64 'c_List_Onibble_ONibbleD' [261, 0] (w:1, o:120, a:1, s:1, b:0),
% 1.24/1.64 'c_List_Onibble_ONibbleE' [262, 0] (w:1, o:121, a:1, s:1, b:0),
% 1.24/1.64 'c_List_Onibble_ONibbleF' [263, 0] (w:1, o:122, a:1, s:1, b:0),
% 1.24/1.64 'c_List_Onibble_ONibble0' [264, 0] (w:1, o:123, a:1, s:1, b:0),
% 1.24/1.64 'c_List_Onibble_ONibble1' [265, 0] (w:1, o:124, a:1, s:1, b:0),
% 1.24/1.64 'c_List_Onibble_ONibble2' [266, 0] (w:1, o:125, a:1, s:1, b:0),
% 1.24/1.64 'c_List_Onibble_ONibble3' [267, 0] (w:1, o:126, a:1, s:1, b:0),
% 1.24/1.64 'c_List_Onibble_ONibble4' [268, 0] (w:1, o:127, a:1, s:1, b:0),
% 1.24/1.64 'c_List_Onibble_ONibble5' [269, 0] (w:1, o:128, a:1, s:1, b:0),
% 1.24/1.64 'c_List_Onibble_ONibble6' [270, 0] (w:1, o:129, a:1, s:1, b:0),
% 1.24/1.64 'c_List_Onibble_ONibble7' [271, 0] (w:1, o:130, a:1, s:1, b:0),
% 1.24/1.64 'c_List_Onibble_ONibble8' [272, 0] (w:1, o:115, a:1, s:1, b:0),
% 1.24/1.64 'c_List_Onibble_Onibble__rec' [273, 18] (w:1, o:460, a:1, s:1, b:0),
% 1.24/1.64
% 1.24/1.64 'tc_List_Onibble' [274, 0] (w:1, o:131, a:1, s:1, b:0),
% 1.24/1.64 'c_List_Onull' [275, 2] (w:1, o:288, a:1, s:1, b:0),
% 1.24/1.64 'c_List_Oop_Amem' [276, 3] (w:1, o:395, a:1, s:1, b:0),
% 1.24/1.64 'c_SetInterval_OlessThan' [278, 2] (w:1, o:330, a:1, s:1, b:0),
% 1.24/1.64 'c_Map_Omap__of' [281, 4] (w:1, o:427, a:1, s:1, b:0),
% 1.24/1.64 'class_Ring__and__Field_Oordered__semidom' [282, 1] (w:1, o:204, a:1
% 1.24/1.64 , s:1, b:0),
% 1.24/1.64 'c_Numeral_Obin__succ' [283, 1] (w:1, o:205, a:1, s:1, b:0),
% 1.24/1.64 'c_Numeral_Obin__mult' [285, 2] (w:1, o:331, a:1, s:1, b:0),
% 1.24/1.64 'class_Numeral_Onumber' [286, 1] (w:1, o:159, a:1, s:1, b:0),
% 1.24/1.64 'class_Ring__and__Field_Odivision__by__zero' [287, 1] (w:1, o:208, a:
% 1.24/1.64 1, s:1, b:0),
% 1.24/1.64 'class_Ring__and__Field_Ofield' [288, 1] (w:1, o:209, a:1, s:1, b:0)
% 1.24/1.64 ,
% 1.24/1.64 'c_divide' [289, 3] (w:1, o:406, a:1, s:1, b:0),
% 1.24/1.64 'class_Ring__and__Field_Oordered__field' [290, 1] (w:1, o:210, a:1
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% 1.24/1.64 'class_HOL_Oone' [291, 1] (w:1, o:211, a:1, s:1, b:0),
% 1.24/1.64 'class_OrderedGroup_Oab__group__add' [292, 1] (w:1, o:164, a:1, s:1
% 1.24/1.64 , b:0),
% 1.24/1.64 'c_HOL_Oinverse' [293, 2] (w:1, o:321, a:1, s:1, b:0),
% 1.24/1.64 'class_OrderedGroup_Opordered__ab__group__add' [294, 1] (w:1, o:166
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% 1.24/1.64 'class_Ring__and__Field_Oring' [295, 1] (w:1, o:212, a:1, s:1, b:0),
% 1.24/1.64
% 1.24/1.64 'class_Ring__and__Field_Osemiring' [296, 1] (w:1, o:214, a:1, s:1, b:
% 1.24/1.64 0),
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% 1.24/1.64 , a:1, s:1, b:0),
% 1.24/1.64 'c_Numeral_Obin__pred' [298, 1] (w:1, o:215, a:1, s:1, b:0),
% 1.24/1.64 'c_Numeral_Obit_Obit__case' [299, 4] (w:1, o:440, a:1, s:1, b:0),
% 1.24/1.64 'c_Numeral_Obit_Obit__rec' [300, 4] (w:1, o:441, a:1, s:1, b:0),
% 1.24/1.64 'tc_Numeral_Obit' [301, 0] (w:1, o:133, a:1, s:1, b:0),
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% 1.24/1.64 1, b:0),
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% 1.24/1.64 (w:1, o:169, a:1, s:1, b:0),
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% 1.24/1.64 1, s:1, b:0),
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% 1.24/1.64 'class_OrderedGroup_Omonoid__mult' [307, 1] (w:1, o:174, a:1, s:1, b:
% 1.24/1.64 0),
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% 1.24/1.64 'c_OrderedGroup_Opprt' [309, 2] (w:1, o:314, a:1, s:1, b:0),
% 1.24/1.64 'class_Orderings_Oorder' [310, 1] (w:1, o:175, a:1, s:1, b:0),
% 1.24/1.64 'c_Parity_Oeven' [311, 2] (w:1, o:332, a:1, s:1, b:0),
% 1.24/1.64 'c_Main_Osurj__pair__1' [313, 3] (w:1, o:370, a:1, s:1, b:0),
% 1.24/1.64 'c_Main_Osurj__pair__2' [314, 3] (w:1, o:371, a:1, s:1, b:0),
% 1.24/1.64 'c_Relation_OId' [315, 0] (w:1, o:134, a:1, s:1, b:0),
% 1.24/1.64 'c_Relation_Odiag' [316, 2] (w:1, o:328, a:1, s:1, b:0),
% 1.24/1.64 'c_Relation_Orel__comp' [317, 5] (w:1, o:444, a:1, s:1, b:0),
% 1.24/1.64 'c_Relation_ORange' [319, 3] (w:1, o:352, a:1, s:1, b:0),
% 1.24/1.64 'class_Ring__and__Field_Oaxclass__0__neq__1' [320, 1] (w:1, o:216, a:
% 1.24/1.64 1, s:1, b:0),
% 1.24/1.64 'class_Ring__and__Field_Osemiring__0__cancel' [321, 1] (w:1, o:217
% 1.24/1.64 , a:1, s:1, b:0),
% 1.24/1.64 'c_SetInterval_OatLeast' [322, 2] (w:1, o:333, a:1, s:1, b:0),
% 1.24/1.64 'c_SetInterval_OatMost' [323, 2] (w:1, o:334, a:1, s:1, b:0),
% 1.24/1.64 'c_SetInterval_OgreaterThan' [324, 2] (w:1, o:335, a:1, s:1, b:0),
% 1.24/1.64 'c_SetInterval_OatLeastAtMost' [325, 3] (w:1, o:407, a:1, s:1, b:0),
% 1.24/1.64
% 1.24/1.64 'class_Orderings_Oord' [326, 1] (w:1, o:176, a:1, s:1, b:0),
% 1.24/1.64 'c_SetInterval_OatLeastLessThan' [327, 3] (w:1, o:408, a:1, s:1, b:0)
% 1.24/1.64 ,
% 1.24/1.64 'c_SetInterval_OgreaterThanAtMost' [328, 3] (w:1, o:409, a:1, s:1, b:
% 1.24/1.64 0),
% 1.24/1.64 'c_SetInterval_OgreaterThanLessThan' [329, 3] (w:1, o:410, a:1, s:1
% 1.24/1.64 , b:0),
% 1.24/1.64 'c_Inter' [331, 2] (w:1, o:336, a:1, s:1, b:0),
% 1.24/1.64 'c_Main_OInter__UNIV__conv__1__1' [332, 2] (w:1, o:297, a:1, s:1, b:0
% 1.24/1.64 ),
% 1.24/1.64 'c_Main_OInter__UNIV__conv__2__1' [333, 2] (w:1, o:298, a:1, s:1, b:0
% 1.24/1.64 ),
% 1.24/1.64 'c_Main_OInter__iff__1' [334, 3] (w:1, o:372, a:1, s:1, b:0),
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% 1.24/1.64 'c_Main_OUnion__empty__conv__1' [336, 2] (w:1, o:299, a:1, s:1, b:0)
% 1.24/1.64 ,
% 1.24/1.64 'c_Main_OUnion__iff__1' [337, 3] (w:1, o:373, a:1, s:1, b:0),
% 1.24/1.64 'c_Main_Oall__not__in__conv__1' [338, 2] (w:1, o:300, a:1, s:1, b:0)
% 1.24/1.64 ,
% 1.24/1.64 'c_Set_Ocontents' [339, 2] (w:1, o:340, a:1, s:1, b:0),
% 1.24/1.64 'c_Main_Oempty__Union__conv__1' [340, 2] (w:1, o:301, a:1, s:1, b:0)
% 1.24/1.64 ,
% 1.24/1.64 'c_Sum__Type_OPlus' [341, 4] (w:1, o:442, a:1, s:1, b:0),
% 1.24/1.64 'c_Transitive__Closure_Ortrancl' [342, 2] (w:1, o:337, a:1, s:1, b:0)
% 1.24/1.64 ,
% 1.24/1.64 'c_Transitive__Closure_Otrancl' [343, 2] (w:1, o:338, a:1, s:1, b:0)
% 1.24/1.64 ,
% 1.24/1.64 'c_Wellfounded__Recursion_Oacyclic' [344, 2] (w:1, o:341, a:1, s:1
% 1.24/1.64 , b:0),
% 1.24/1.64 'c_Wellfounded__Recursion_Owf' [345, 2] (w:1, o:342, a:1, s:1, b:0),
% 1.24/1.64
% 1.24/1.64 'c_Wellfounded__Relations_Oless__than' [346, 0] (w:1, o:137, a:1, s:1
% 1.24/1.64 , b:0),
% 1.24/1.64 'c_Main_OdprodE__1' [347, 5] (w:1, o:445, a:1, s:1, b:0),
% 1.24/1.64 'c_Main_OdprodE__2' [348, 5] (w:1, o:446, a:1, s:1, b:0),
% 1.24/1.64 'c_Main_OdprodE__3' [349, 5] (w:1, o:447, a:1, s:1, b:0),
% 1.24/1.64 'c_Main_OdprodE__4' [350, 5] (w:1, o:448, a:1, s:1, b:0),
% 1.24/1.64 'c_Main_OdsumE__1' [351, 4] (w:1, o:430, a:1, s:1, b:0),
% 1.24/1.64 'c_Main_OdsumE__2' [352, 4] (w:1, o:431, a:1, s:1, b:0),
% 1.24/1.64 'c_Main_OdsumE__3' [353, 4] (w:1, o:432, a:1, s:1, b:0),
% 1.24/1.64 'c_Main_OdsumE__4' [354, 4] (w:1, o:433, a:1, s:1, b:0),
% 1.24/1.64 'c_Main_OuprodE__1' [355, 5] (w:1, o:449, a:1, s:1, b:0),
% 1.24/1.64 'c_Main_OuprodE__2' [356, 5] (w:1, o:450, a:1, s:1, b:0),
% 1.24/1.64 'c_Main_OusumE__1' [357, 4] (w:1, o:434, a:1, s:1, b:0),
% 1.24/1.64 'c_Main_OusumE__2' [358, 4] (w:1, o:435, a:1, s:1, b:0),
% 1.24/1.64 'c_Main_Omod__eq__0D__dest__1' [360, 2] (w:1, o:290, a:1, s:1, b:0),
% 1.24/1.64
% 1.24/1.64 'c_Main_Ofinite__Union__1' [361, 2] (w:1, o:302, a:1, s:1, b:0),
% 1.24/1.64 'c_Infinite__Set_Oatmost__one' [363, 2] (w:1, o:343, a:1, s:1, b:0),
% 1.24/1.64
% 1.24/1.64 'c_Main_Ozmod__eq__0D__dest__1' [364, 2] (w:1, o:303, a:1, s:1, b:0)
% 1.24/1.64 ,
% 1.24/1.64 'c_Main_Oin__listsI__1' [365, 3] (w:1, o:374, a:1, s:1, b:0),
% 4.01/4.36 'c_Main_Olistrel__Cons1__1' [366, 5] (w:1, o:451, a:1, s:1, b:0),
% 4.01/4.36 'c_Main_Olistrel__Cons1__2' [367, 5] (w:1, o:452, a:1, s:1, b:0),
% 4.01/4.36 'c_Main_Olistrel__Cons2__1' [368, 5] (w:1, o:453, a:1, s:1, b:0),
% 4.01/4.36 'c_Main_Olistrel__Cons2__2' [369, 5] (w:1, o:454, a:1, s:1, b:0),
% 4.01/4.36 'c_List_Olenlex' [370, 2] (w:1, o:289, a:1, s:1, b:0),
% 4.01/4.36 'c_Main_ODomainE__1' [371, 4] (w:1, o:436, a:1, s:1, b:0),
% 4.01/4.36 'c_Main_OIdE__1' [372, 2] (w:1, o:304, a:1, s:1, b:0),
% 4.01/4.36 'c_Main_OImageE__1' [373, 5] (w:1, o:455, a:1, s:1, b:0),
% 4.01/4.36 'c_Main_ORangeE__1' [374, 4] (w:1, o:437, a:1, s:1, b:0),
% 4.01/4.36 'c_Main_OconverseE__1' [376, 4] (w:1, o:428, a:1, s:1, b:0),
% 4.01/4.36 'c_Main_OconverseE__2' [377, 4] (w:1, o:429, a:1, s:1, b:0),
% 4.01/4.36 'c_Main_OdiagE__1' [378, 3] (w:1, o:375, a:1, s:1, b:0),
% 4.01/4.36 'c_Main_Orel__compE__2' [381, 6] (w:1, o:457, a:1, s:1, b:0),
% 4.01/4.36 'c_Main_Orel__compE__3' [382, 6] (w:1, o:458, a:1, s:1, b:0),
% 4.01/4.36 'c_Main_Orel__compE__1' [383, 6] (w:1, o:456, a:1, s:1, b:0),
% 4.01/4.36 'c_Main_OInterI__1' [384, 3] (w:1, o:376, a:1, s:1, b:0),
% 4.01/4.36 'c_Main_OUnionE__1' [385, 3] (w:1, o:377, a:1, s:1, b:0),
% 4.01/4.36 'c_Main_OsubsetI__1' [386, 3] (w:1, o:378, a:1, s:1, b:0),
% 4.01/4.36 'c_Main_OPlusE__1' [387, 4] (w:1, o:438, a:1, s:1, b:0),
% 4.01/4.36 'c_Main_OPlusE__2' [388, 4] (w:1, o:439, a:1, s:1, b:0),
% 4.01/4.36 'c_Relation_Otrans' [389, 2] (w:1, o:329, a:1, s:1, b:0),
% 4.01/4.36 'c_Wellfounded__Relations_Olex__prod' [392, 4] (w:1, o:443, a:1, s:1
% 4.01/4.36 , b:0),
% 4.01/4.36 'class_Finite__Set_Ofinite' [396, 1] (w:1, o:218, a:1, s:1, b:0),
% 4.01/4.36 'class_HOL_Ominus' [397, 1] (w:1, o:219, a:1, s:1, b:0),
% 4.01/4.36 'class_Ring__and__Field_Ocomm__semiring' [398, 1] (w:1, o:206, a:1
% 4.01/4.36 , s:1, b:0),
% 4.01/4.36 'class_Ring__and__Field_Osemiring__0' [399, 1] (w:1, o:220, a:1, s:1
% 4.01/4.36 , b:0),
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% 4.01/4.36 'class_Ring__and__Field_Ocomm__semiring__0__cancel' [403, 1] (w:1, o:
% 4.01/4.36 194, a:1, s:1, b:0),
% 4.01/4.36 'class_Ring__and__Field_Ocomm__ring' [404, 1] (w:1, o:192, a:1, s:1
% 4.01/4.36 , b:0),
% 4.01/4.36 'class_OrderedGroup_Ocomm__monoid__mult' [405, 1] (w:1, o:178, a:1
% 4.01/4.36 , s:1, b:0),
% 4.01/4.36 'class_Ring__and__Field_Osemiring__1' [406, 1] (w:1, o:222, a:1, s:1
% 4.01/4.36 , b:0),
% 4.01/4.36 'class_Ring__and__Field_Ocomm__semiring__1' [407, 1] (w:1, o:207, a:1
% 4.01/4.36 , s:1, b:0),
% 4.01/4.36 'class_Ring__and__Field_Osemiring__1__cancel' [408, 1] (w:1, o:223
% 4.01/4.36 , a:1, s:1, b:0),
% 4.01/4.36 'class_Ring__and__Field_Oring__1' [409, 1] (w:1, o:213, a:1, s:1, b:0
% 4.01/4.36 ),
% 4.01/4.36 'class_HOL_Otimes' [410, 1] (w:1, o:224, a:1, s:1, b:0),
% 4.01/4.36 'class_LOrder_Olorder' [411, 1] (w:1, o:200, a:1, s:1, b:0),
% 4.01/4.36 'class_OrderedGroup_Opordered__ab__semigroup__add' [412, 1] (w:1, o:
% 4.01/4.36 179, a:1, s:1, b:0),
% 4.01/4.36 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [413, 1]
% 4.01/4.36 (w:1, o:180, a:1, s:1, b:0),
% 4.01/4.36 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add' [414, 1]
% 4.01/4.36 (w:1, o:165, a:1, s:1, b:0),
% 4.01/4.36 'class_HOL_Ozero' [415, 1] (w:1, o:225, a:1, s:1, b:0),
% 4.01/4.36 'class_Ring__and__Field_Opordered__semiring' [416, 1] (w:1, o:229, a:
% 4.01/4.36 1, s:1, b:0),
% 4.01/4.36 'class_Ring__and__Field_Opordered__cancel__semiring' [417, 1] (w:1
% 4.01/4.36 , o:230, a:1, s:1, b:0),
% 4.01/4.36 'class_Ring__and__Field_Oordered__semiring__strict' [418, 1] (w:1, o:
% 4.01/4.36 226, a:1, s:1, b:0),
% 4.01/4.36 'class_Ring__and__Field_Opordered__comm__semiring' [419, 1] (w:1, o:
% 4.01/4.36 232, a:1, s:1, b:0),
% 4.01/4.36 'class_Ring__and__Field_Opordered__cancel__comm__semiring' [420, 1]
% 4.01/4.36 (w:1, o:233, a:1, s:1, b:0),
% 4.01/4.36 'class_Ring__and__Field_Oordered__comm__semiring__strict' [421, 1]
% 4.01/4.36 (w:1, o:227, a:1, s:1, b:0),
% 4.01/4.36 'class_Ring__and__Field_Oaxclass__abs__if' [422, 1] (w:1, o:234, a:1
% 4.01/4.36 , s:1, b:0),
% 4.01/4.36 'class_Ring__and__Field_Opordered__ring' [423, 1] (w:1, o:228, a:1
% 4.01/4.36 , s:1, b:0),
% 4.01/4.36 'class_OrderedGroup_Olordered__ab__group__meet' [424, 1] (w:1, o:172
% 4.01/4.36 , a:1, s:1, b:0),
% 18.57/18.91 'class_OrderedGroup_Olordered__ab__group__join' [425, 1] (w:1, o:173
% 18.57/18.91 , a:1, s:1, b:0),
% 18.57/18.91 'class_Ring__and__Field_Olordered__ring' [426, 1] (w:1, o:235, a:1
% 18.57/18.91 , s:1, b:0),
% 18.57/18.91 'class_Ring__and__Field_Oaxclass__no__zero__divisors' [427, 1] (w:1
% 18.57/18.91 , o:236, a:1, s:1, b:0),
% 18.57/18.91 'class_Ring__and__Field_Oidom' [428, 1] (w:1, o:237, a:1, s:1, b:0),
% 18.57/18.91
% 18.57/18.91 'class_OrderedGroup_Osemigroup__add' [429, 1] (w:1, o:181, a:1, s:1
% 18.57/18.91 , b:0),
% 18.57/18.91 'class_Divides_Odiv' [430, 1] (w:1, o:238, a:1, s:1, b:0),
% 18.57/18.91 'class_Nat_Opower' [431, 1] (w:1, o:160, a:1, s:1, b:0),
% 18.57/18.91 'class_Parity_Oeven__odd' [432, 1] (w:1, o:239, a:1, s:1, b:0),
% 18.57/18.91 'class_OrderedGroup_Oab__semigroup__add' [433, 1] (w:1, o:182, a:1
% 18.57/18.91 , s:1, b:0),
% 18.57/18.91 'class_OrderedGroup_Osemigroup__mult' [434, 1] (w:1, o:183, a:1, s:1
% 18.57/18.91 , b:0),
% 18.57/18.91 'class_OrderedGroup_Oab__semigroup__mult' [435, 1] (w:1, o:184, a:1
% 18.57/18.91 , s:1, b:0),
% 18.57/18.91 'tc_bool' [436, 0] (w:1, o:144, a:1, s:1, b:0),
% 18.57/18.91 'tc_fun' [438, 2] (w:1, o:344, a:1, s:1, b:0),
% 18.57/18.91 'class_Wellfounded__Recursion_Owellorder' [439, 1] (w:1, o:240, a:1
% 18.57/18.91 , s:1, b:0),
% 18.57/18.91 'class_HOL_Oinverse' [441, 1] (w:1, o:241, a:1, s:1, b:0),
% 18.57/18.91 'class_Ring__and__Field_Opordered__comm__ring' [442, 1] (w:1, o:231
% 18.57/18.91 , a:1, s:1, b:0),
% 18.57/18.91 'c_PropLog_Osat' [443, 3] (w:1, o:411, a:1, s:1, b:0),
% 18.57/18.91 'c_PropLog_Ohyps' [444, 3] (w:1, o:412, a:1, s:1, b:0),
% 18.57/18.91 'tc_PropLog_Opl' [446, 1] (w:1, o:242, a:1, s:1, b:0),
% 18.57/18.91 'c_PropLog_Othms' [447, 2] (w:1, o:345, a:1, s:1, b:0),
% 18.57/18.91 'c_PropLog_Opl_Oop_A_N_62' [449, 3] (w:1, o:413, a:1, s:1, b:0),
% 18.57/18.91 'c_PropLog_Oeval' [452, 3] (w:1, o:414, a:1, s:1, b:0),
% 18.57/18.91 'c_PropLog_Opl_Ofalse' [453, 0] (w:1, o:147, a:1, s:1, b:0),
% 18.57/18.91 'c_PropLog_Opl_Ovar' [454, 2] (w:1, o:346, a:1, s:1, b:0),
% 18.57/18.91 'v_p' [459, 0] (w:1, o:148, a:1, s:1, b:0),
% 18.57/18.91 't_a' [460, 0] (w:1, o:149, a:1, s:1, b:0).
% 18.57/18.91
% 18.57/18.91
% 18.57/18.91 Starting Search:
% 18.57/18.91
% 18.57/18.91
% 18.57/18.91 Intermediate Status:
% 18.57/18.91 Generated: 3090
% 18.57/18.91 Kept: 2769
% 18.57/18.91 Inuse: 0
% 18.57/18.91 Deleted: 0
% 18.57/18.91 Deletedinuse: 0
% 18.57/18.91
% 18.57/18.91 Resimplifying inuse:
% 18.57/18.91 Done
% 18.57/18.91
% 18.57/18.91 Resimplifying inuse:
% 18.57/18.91 Done
% 18.57/18.91
% 18.57/18.91
% 18.57/18.91 Intermediate Status:
% 18.57/18.91 Generated: 8943
% 18.57/18.91 Kept: 4988
% 18.57/18.91 Inuse: 179
% 18.57/18.91 Deleted: 3
% 18.57/18.91 Deletedinuse: 1
% 18.57/18.91
% 18.57/18.91 Resimplifying inuse:
% 18.57/18.91 Done
% 18.57/18.91
% 18.57/18.91 Resimplifying inuse:
% 18.57/18.91 Done
% 18.57/18.91
% 18.57/18.91
% 18.57/18.91 Intermediate Status:
% 18.57/18.91 Generated: 15305
% 18.57/18.91 Kept: 7254
% 18.57/18.91 Inuse: 419
% 18.57/18.91 Deleted: 13
% 18.57/18.91 Deletedinuse: 1
% 18.57/18.91
% 18.57/18.91 Resimplifying inuse:
% 18.57/18.91 Done
% 18.57/18.91
% 18.57/18.91 Resimplifying inuse:
% 18.57/18.91 Done
% 18.57/18.91
% 18.57/18.91
% 18.57/18.91 Intermediate Status:
% 18.57/18.91 Generated: 19681
% 18.57/18.91 Kept: 9444
% 18.57/18.91 Inuse: 449
% 18.57/18.91 Deleted: 13
% 18.57/18.91 Deletedinuse: 1
% 18.57/18.91
% 18.57/18.91 Resimplifying inuse:
% 18.57/18.91 Done
% 18.57/18.91
% 18.57/18.91 Resimplifying inuse:
% 18.57/18.91 Done
% 18.57/18.91
% 18.57/18.91
% 18.57/18.91 Intermediate Status:
% 18.57/18.91 Generated: 24264
% 18.57/18.91 Kept: 11499
% 18.57/18.91 Inuse: 479
% 18.57/18.91 Deleted: 13
% 18.57/18.91 Deletedinuse: 1
% 18.57/18.91
% 18.57/18.91 Resimplifying inuse:
% 18.57/18.91 Done
% 18.57/18.91
% 18.57/18.91 Resimplifying inuse:
% 18.57/18.91 Done
% 18.57/18.91
% 18.57/18.91
% 18.57/18.91 Intermediate Status:
% 18.57/18.91 Generated: 29139
% 18.57/18.91 Kept: 13714
% 18.57/18.91 Inuse: 504
% 18.57/18.91 Deleted: 13
% 18.57/18.91 Deletedinuse: 1
% 18.57/18.91
% 18.57/18.91 Resimplifying inuse:
% 18.57/18.91 Done
% 18.57/18.91
% 18.57/18.91 Resimplifying inuse:
% 18.57/18.91 Done
% 18.57/18.91
% 18.57/18.91
% 18.57/18.91 Intermediate Status:
% 18.57/18.91 Generated: 35525
% 18.57/18.91 Kept: 16196
% 18.57/18.91 Inuse: 593
% 18.57/18.91 Deleted: 14
% 18.57/18.91 Deletedinuse: 1
% 18.57/18.91
% 18.57/18.91 Resimplifying inuse:
% 18.57/18.91 Done
% 18.57/18.91
% 18.57/18.91 Resimplifying inuse:
% 18.57/18.91 Done
% 18.57/18.91
% 18.57/18.91
% 18.57/18.91 Intermediate Status:
% 18.57/18.91 Generated: 42951
% 18.57/18.91 Kept: 18298
% 18.57/18.91 Inuse: 811
% 18.57/18.91 Deleted: 46
% 18.57/18.91 Deletedinuse: 1
% 18.57/18.91
% 18.57/18.91 Resimplifying inuse:
% 18.57/18.91 Done
% 18.57/18.91
% 18.57/18.91 Resimplifying inuse:
% 18.57/18.91 Done
% 18.57/18.91
% 18.57/18.91 Resimplifying clauses:
% 18.57/18.91 Done
% 18.57/18.91
% 18.57/18.91
% 18.57/18.91 Intermediate Status:
% 18.57/18.91 Generated: 50018
% 18.57/18.91 Kept: 20302
% 18.57/18.91 Inuse: 877
% 18.57/18.91 Deleted: 1541
% 18.57/18.91 Deletedinuse: 1
% 18.57/18.91
% 18.57/18.91 Resimplifying inuse:
% 18.57/18.91 Done
% 18.57/18.91
% 18.57/18.91
% 18.57/18.91 Intermediate Status:
% 18.57/18.91 Generated: 59290
% 18.57/18.91 Kept: 22655
% 18.57/18.91 Inuse: 957
% 18.57/18.91 Deleted: 1541
% 18.57/18.91 Deletedinuse: 1
% 18.57/18.91
% 18.57/18.91 Resimplifying inuse:
% 18.57/18.91 Done
% 18.57/18.91
% 18.57/18.91 Resimplifying inuse:
% 18.57/18.91 Done
% 18.57/18.91
% 18.57/18.91
% 18.57/18.91 Intermediate Status:
% 18.57/18.91 Generated: 65837
% 18.57/18.91 Kept: 24677
% 18.57/18.91 Inuse: 992
% 18.57/18.91 Deleted: 1542
% 18.57/18.91 Deletedinuse: 2
% 18.57/18.91
% 18.57/18.91 Resimplifying inuse:
% 18.57/18.91 Done
% 18.57/18.91
% 18.57/18.91 Resimplifying inuse:
% 18.57/18.91 Done
% 18.57/18.91
% 18.57/18.91
% 18.57/18.91 Intermediate Status:
% 18.57/18.91 Generated: 72697
% 18.57/18.91 Kept: 27119
% 18.57/18.91 Inuse: 1037
% 18.57/18.91 Deleted: 1543
% 18.57/18.91 Deletedinuse: 3
% 18.57/18.91
% 18.57/18.91 Resimplifying inuse:
% 18.57/18.91 Done
% 18.57/18.91
% 18.57/18.91 Resimplifying inuse:
% 18.57/18.91 Done
% 18.57/18.91
% 18.57/18.91
% 18.57/18.91 Intermediate Status:
% 18.57/18.91 Generated: 80472
% 18.57/18.91 Kept: 29671
% 18.57/18.91 Inuse: 1107
% 18.57/18.91 Deleted: 1543
% 18.57/18.91 Deletedinuse: 3
% 18.57/18.91
% 18.57/18.91 Resimplifying inuse:
% 18.57/18.91 Done
% 18.57/18.91
% 18.57/18.91 Resimplifying inuse:
% 44.33/44.69 Done
% 44.33/44.69
% 44.33/44.69
% 44.33/44.69 Intermediate Status:
% 44.33/44.69 Generated: 85498
% 44.33/44.69 Kept: 31714
% 44.33/44.69 Inuse: 1192
% 44.33/44.69 Deleted: 1543
% 44.33/44.69 Deletedinuse: 3
% 44.33/44.69
% 44.33/44.69 Resimplifying inuse:
% 44.33/44.69 Done
% 44.33/44.69
% 44.33/44.69 Resimplifying inuse:
% 44.33/44.69 Done
% 44.33/44.69
% 44.33/44.69
% 44.33/44.69 Intermediate Status:
% 44.33/44.69 Generated: 92747
% 44.33/44.69 Kept: 33724
% 44.33/44.69 Inuse: 1262
% 44.33/44.69 Deleted: 1547
% 44.33/44.69 Deletedinuse: 7
% 44.33/44.69
% 44.33/44.69 Resimplifying inuse:
% 44.33/44.69 Done
% 44.33/44.69
% 44.33/44.69 Resimplifying inuse:
% 44.33/44.69 Done
% 44.33/44.69
% 44.33/44.69
% 44.33/44.69 Intermediate Status:
% 44.33/44.69 Generated: 101593
% 44.33/44.69 Kept: 35727
% 44.33/44.69 Inuse: 1313
% 44.33/44.69 Deleted: 1547
% 44.33/44.69 Deletedinuse: 7
% 44.33/44.69
% 44.33/44.69 Resimplifying inuse:
% 44.33/44.69 Done
% 44.33/44.69
% 44.33/44.69 Resimplifying inuse:
% 44.33/44.69 Done
% 44.33/44.69
% 44.33/44.69
% 44.33/44.69 Intermediate Status:
% 44.33/44.69 Generated: 108680
% 44.33/44.69 Kept: 37744
% 44.33/44.69 Inuse: 1353
% 44.33/44.69 Deleted: 1547
% 44.33/44.69 Deletedinuse: 7
% 44.33/44.69
% 44.33/44.69 Resimplifying inuse:
% 44.33/44.69 Done
% 44.33/44.69
% 44.33/44.69
% 44.33/44.69 Intermediate Status:
% 44.33/44.69 Generated: 116350
% 44.33/44.69 Kept: 40245
% 44.33/44.69 Inuse: 1377
% 44.33/44.69 Deleted: 1547
% 44.33/44.69 Deletedinuse: 7
% 44.33/44.69
% 44.33/44.69 Resimplifying inuse:
% 44.33/44.69 Done
% 44.33/44.69
% 44.33/44.69 Resimplifying clauses:
% 44.33/44.69 Done
% 44.33/44.69
% 44.33/44.69 Resimplifying inuse:
% 44.33/44.69 Done
% 44.33/44.69
% 44.33/44.69
% 44.33/44.69 Intermediate Status:
% 44.33/44.69 Generated: 122925
% 44.33/44.69 Kept: 42798
% 44.33/44.69 Inuse: 1387
% 44.33/44.69 Deleted: 1929
% 44.33/44.69 Deletedinuse: 7
% 44.33/44.69
% 44.33/44.69 Resimplifying inuse:
% 44.33/44.69 Done
% 44.33/44.69
% 44.33/44.69 Resimplifying inuse:
% 44.33/44.69 Done
% 44.33/44.69
% 44.33/44.69
% 44.33/44.69 Intermediate Status:
% 44.33/44.69 Generated: 128260
% 44.33/44.69 Kept: 44860
% 44.33/44.69 Inuse: 1401
% 44.33/44.69 Deleted: 1929
% 44.33/44.69 Deletedinuse: 7
% 44.33/44.69
% 44.33/44.69 Resimplifying inuse:
% 44.33/44.69 Done
% 44.33/44.69
% 44.33/44.69 Resimplifying inuse:
% 44.33/44.69 Done
% 44.33/44.69
% 44.33/44.69
% 44.33/44.69 Intermediate Status:
% 44.33/44.69 Generated: 135237
% 44.33/44.69 Kept: 47553
% 44.33/44.69 Inuse: 1412
% 44.33/44.69 Deleted: 1929
% 44.33/44.69 Deletedinuse: 7
% 44.33/44.69
% 44.33/44.69 Resimplifying inuse:
% 44.33/44.69 Done
% 44.33/44.69
% 44.33/44.69 Resimplifying inuse:
% 44.33/44.69 Done
% 44.33/44.69
% 44.33/44.69
% 44.33/44.69 Intermediate Status:
% 44.33/44.69 Generated: 140881
% 44.33/44.69 Kept: 49557
% 44.33/44.69 Inuse: 1427
% 44.33/44.69 Deleted: 1929
% 44.33/44.69 Deletedinuse: 7
% 44.33/44.69
% 44.33/44.69 Resimplifying inuse:
% 44.33/44.69 Done
% 44.33/44.69
% 44.33/44.69 Resimplifying inuse:
% 44.33/44.69 Done
% 44.33/44.69
% 44.33/44.69
% 44.33/44.69 Intermediate Status:
% 44.33/44.69 Generated: 146180
% 44.33/44.69 Kept: 51611
% 44.33/44.69 Inuse: 1438
% 44.33/44.69 Deleted: 1929
% 44.33/44.69 Deletedinuse: 7
% 44.33/44.69
% 44.33/44.69 Resimplifying inuse:
% 44.33/44.69 Done
% 44.33/44.69
% 44.33/44.69
% 44.33/44.69 Intermediate Status:
% 44.33/44.69 Generated: 157767
% 44.33/44.69 Kept: 55794
% 44.33/44.69 Inuse: 1505
% 44.33/44.69 Deleted: 1932
% 44.33/44.69 Deletedinuse: 8
% 44.33/44.69
% 44.33/44.69 Resimplifying inuse:
% 44.33/44.69 Done
% 44.33/44.69
% 44.33/44.69
% 44.33/44.69 Intermediate Status:
% 44.33/44.69 Generated: 170370
% 44.33/44.69 Kept: 58676
% 44.33/44.69 Inuse: 1515
% 44.33/44.69 Deleted: 1934
% 44.33/44.69 Deletedinuse: 10
% 44.33/44.69
% 44.33/44.69 Resimplifying inuse:
% 44.33/44.69 Done
% 44.33/44.69
% 44.33/44.69 Resimplifying inuse:
% 44.33/44.69 Done
% 44.33/44.69
% 44.33/44.69 Resimplifying clauses:
% 44.33/44.69 Done
% 44.33/44.69
% 44.33/44.69
% 44.33/44.69 Intermediate Status:
% 44.33/44.69 Generated: 178006
% 44.33/44.69 Kept: 60731
% 44.33/44.69 Inuse: 1530
% 44.33/44.69 Deleted: 2303
% 44.33/44.69 Deletedinuse: 10
% 44.33/44.69
% 44.33/44.69 Resimplifying inuse:
% 44.33/44.69 Done
% 44.33/44.69
% 44.33/44.69 Resimplifying inuse:
% 44.33/44.69 Done
% 44.33/44.69
% 44.33/44.69
% 44.33/44.69 Intermediate Status:
% 44.33/44.69 Generated: 184239
% 44.33/44.69 Kept: 62749
% 44.33/44.69 Inuse: 1549
% 44.33/44.69 Deleted: 2303
% 44.33/44.69 Deletedinuse: 10
% 44.33/44.69
% 44.33/44.69 Resimplifying inuse:
% 44.33/44.69 Done
% 44.33/44.69
% 44.33/44.69
% 44.33/44.69 Intermediate Status:
% 44.33/44.69 Generated: 190579
% 44.33/44.69 Kept: 65885
% 44.33/44.69 Inuse: 1560
% 44.33/44.69 Deleted: 2303
% 44.33/44.69 Deletedinuse: 10
% 44.33/44.69
% 44.33/44.69 Resimplifying inuse:
% 44.33/44.69 Done
% 44.33/44.69
% 44.33/44.69 Resimplifying inuse:
% 44.33/44.69 Done
% 44.33/44.69
% 44.33/44.69
% 44.33/44.69 Intermediate Status:
% 44.33/44.69 Generated: 195372
% 44.33/44.69 Kept: 67888
% 44.33/44.69 Inuse: 1572
% 44.33/44.69 Deleted: 2303
% 44.33/44.69 Deletedinuse: 10
% 44.33/44.69
% 44.33/44.69 Resimplifying inuse:
% 44.33/44.69 Done
% 44.33/44.69
% 44.33/44.69
% 44.33/44.69 Intermediate Status:
% 44.33/44.69 Generated: 209092
% 44.33/44.69 Kept: 70665
% 44.33/44.69 Inuse: 1580
% 44.33/44.69 Deleted: 2303
% 44.33/44.69 Deletedinuse: 10
% 44.33/44.69
% 44.33/44.69 Resimplifying inuse:
% 44.33/44.69 Done
% 44.33/44.69
% 44.33/44.69 Resimplifying inuse:
% 44.33/44.69 Done
% 44.33/44.69
% 44.33/44.69
% 44.33/44.69 Intermediate Status:
% 44.33/44.69 Generated: 222616
% 44.33/44.69 Kept: 73764
% 44.33/44.69 Inuse: 1595
% 44.33/44.69 Deleted: 2303
% 44.33/44.69 Deletedinuse: 10
% 44.33/44.69
% 44.33/44.69 Resimplifying inuse:
% 44.33/44.69 Done
% 44.33/44.69
% 44.33/44.69 Resimplifying inuse:
% 44.33/44.69 Done
% 44.33/44.69
% 44.33/44.69
% 44.33/44.69 Intermediate Status:
% 44.33/44.69 Generated: 240854
% 44.33/44.69 Kept: 77385
% 44.33/44.69 Inuse: 1605
% 44.33/44.69 Deleted: 2303
% 44.33/44.69 Deletedinuse: 10
% 44.33/44.69
% 44.33/44.69 Resimplifying inuse:
% 44.33/44.69 Done
% 44.33/44.69
% 44.33/44.69 Resimplifying inuse:
% 44.33/44.69 Done
% 44.33/44.69
% 44.33/44.69
% 44.33/44.69 Intermediate Status:
% 44.33/44.69 Generated: 253615
% 44.33/44.69 Kept: 79518
% 44.33/44.69 Inuse: 1625
% 44.33/44.69 Deleted: 2303
% 44.33/44.69 Deletedinuse: 10
% 44.33/44.69
% 44.33/44.69 Resimplifying inuse:
% 44.33/44.69 Done
% 44.33/44.69
% 44.33/44.69 Resimplifying clauses:
% 44.33/44.69 Done
% 44.33/44.69
% 44.33/44.69
% 44.33/44.69 Intermediate Status:
% 44.33/44.69 Generated: 264289
% 44.33/44.69 Kept: 82497
% 44.33/44.69 Inuse: 1635
% 44.33/44.69 Deleted: 2342
% 44.33/44.69 Deletedinuse: 10
% 44.33/44.69
% 44.33/44.69 Resimplifying inuse:
% 44.33/44.69 Done
% 44.33/44.69
% 44.33/44.69 Resimplifying inuse:
% 44.33/44.69 Done
% 44.33/44.69
% 44.33/44.69
% 44.33/44.69 Intermediate Status:
% 44.33/44.69 Generated: 270713
% 44.33/44.69 Kept: 84509
% 44.33/44.69 Inuse: 1654
% 44.33/44.69 Deleted: 2342
% 44.33/44.69 Deletedinuse: 10
% 44.33/44.69
% 44.33/44.69 Resimplifying inuse:
% 44.33/44.69 Done
% 44.33/44.69
% 44.33/44.69
% 44.33/44.69 Intermediate Status:
% 44.33/44.69 Generated: 279576
% 44.33/44.69 Kept: 87102
% 44.33/44.69 Inuse: 1669
% 44.33/44.69 Deleted: 2342
% 44.33/44.69 Deletedinuse: 10
% 44.33/44.69
% 44.33/44.69 Resimplifying inuse:
% 44.33/44.69 Done
% 44.33/44.69
% 44.33/44.69 Resimplifying inuse:
% 44.33/44.69 Done
% 44.33/44.69
% 44.33/44.69
% 44.33/44.69 Intermediate Status:
% 44.33/44.69 Generated: 288373
% 44.33/44.69 Kept: 89123
% 44.33/44.69 Inuse: 1677
% 44.33/44.69 Deleted: 2342
% 44.33/44.69 Deletedinuse: 10
% 44.33/44.69
% 44.33/44.69 Resimplifying inuse:
% 44.33/44.69 Done
% 44.33/44.69
% 44.33/44.69
% 44.33/44.69 Intermediate Status:
% 44.33/44.69 Generated: 297407
% 44.33/44.69 Kept: 91143
% 44.33/44.69 Inuse: 1686
% 85.19/85.54 Deleted: 2342
% 85.19/85.54 Deletedinuse: 10
% 85.19/85.54
% 85.19/85.54 Resimplifying inuse:
% 85.19/85.54 Done
% 85.19/85.54
% 85.19/85.54 Resimplifying inuse:
% 85.19/85.54 Done
% 85.19/85.54
% 85.19/85.54
% 85.19/85.54 Intermediate Status:
% 85.19/85.54 Generated: 308040
% 85.19/85.54 Kept: 93221
% 85.19/85.54 Inuse: 1730
% 85.19/85.54 Deleted: 2342
% 85.19/85.54 Deletedinuse: 10
% 85.19/85.54
% 85.19/85.54 Resimplifying inuse:
% 85.19/85.54 Done
% 85.19/85.54
% 85.19/85.54 Resimplifying inuse:
% 85.19/85.54 Done
% 85.19/85.54
% 85.19/85.54
% 85.19/85.54 Intermediate Status:
% 85.19/85.54 Generated: 318250
% 85.19/85.54 Kept: 95226
% 85.19/85.54 Inuse: 1773
% 85.19/85.54 Deleted: 2342
% 85.19/85.54 Deletedinuse: 10
% 85.19/85.54
% 85.19/85.54 Resimplifying inuse:
% 85.19/85.54 Done
% 85.19/85.54
% 85.19/85.54 Resimplifying inuse:
% 85.19/85.54 Done
% 85.19/85.54
% 85.19/85.54
% 85.19/85.54 Intermediate Status:
% 85.19/85.54 Generated: 328848
% 85.19/85.54 Kept: 97253
% 85.19/85.54 Inuse: 1813
% 85.19/85.54 Deleted: 2342
% 85.19/85.54 Deletedinuse: 10
% 85.19/85.54
% 85.19/85.54 Resimplifying inuse:
% 85.19/85.54 Done
% 85.19/85.54
% 85.19/85.54
% 85.19/85.54 Intermediate Status:
% 85.19/85.54 Generated: 335583
% 85.19/85.54 Kept: 99308
% 85.19/85.54 Inuse: 1833
% 85.19/85.54 Deleted: 2344
% 85.19/85.54 Deletedinuse: 10
% 85.19/85.54
% 85.19/85.54 Resimplifying inuse:
% 85.19/85.54 Done
% 85.19/85.54
% 85.19/85.54 Resimplifying inuse:
% 85.19/85.54 Done
% 85.19/85.54
% 85.19/85.54
% 85.19/85.54 Intermediate Status:
% 85.19/85.54 Generated: 344363
% 85.19/85.54 Kept: 102264
% 85.19/85.54 Inuse: 1852
% 85.19/85.54 Deleted: 2348
% 85.19/85.54 Deletedinuse: 13
% 85.19/85.54
% 85.19/85.54 Resimplifying inuse:
% 85.19/85.54 Done
% 85.19/85.54
% 85.19/85.54 Resimplifying clauses:
% 85.19/85.54 Done
% 85.19/85.54
% 85.19/85.54 Resimplifying inuse:
% 85.19/85.54 Done
% 85.19/85.54
% 85.19/85.54
% 85.19/85.54 Intermediate Status:
% 85.19/85.54 Generated: 350143
% 85.19/85.54 Kept: 104302
% 85.19/85.54 Inuse: 1860
% 85.19/85.54 Deleted: 3304
% 85.19/85.54 Deletedinuse: 13
% 85.19/85.54
% 85.19/85.54 Resimplifying inuse:
% 85.19/85.54 Done
% 85.19/85.54
% 85.19/85.54
% 85.19/85.54 Intermediate Status:
% 85.19/85.54 Generated: 354552
% 85.19/85.54 Kept: 106307
% 85.19/85.54 Inuse: 1864
% 85.19/85.54 Deleted: 3304
% 85.19/85.54 Deletedinuse: 13
% 85.19/85.54
% 85.19/85.54 Resimplifying inuse:
% 85.19/85.54 Done
% 85.19/85.54
% 85.19/85.54
% 85.19/85.54 Intermediate Status:
% 85.19/85.54 Generated: 360804
% 85.19/85.54 Kept: 108416
% 85.19/85.54 Inuse: 1872
% 85.19/85.54 Deleted: 3304
% 85.19/85.54 Deletedinuse: 13
% 85.19/85.54
% 85.19/85.54 Resimplifying inuse:
% 85.19/85.54 Done
% 85.19/85.54
% 85.19/85.54
% 85.19/85.54 Intermediate Status:
% 85.19/85.54 Generated: 368080
% 85.19/85.54 Kept: 110425
% 85.19/85.54 Inuse: 1891
% 85.19/85.54 Deleted: 3304
% 85.19/85.54 Deletedinuse: 13
% 85.19/85.54
% 85.19/85.54
% 85.19/85.54 Intermediate Status:
% 85.19/85.54 Generated: 373726
% 85.19/85.54 Kept: 112471
% 85.19/85.54 Inuse: 1897
% 85.19/85.54 Deleted: 3304
% 85.19/85.54 Deletedinuse: 13
% 85.19/85.54
% 85.19/85.54 Resimplifying inuse:
% 85.19/85.54 Done
% 85.19/85.54
% 85.19/85.54 Resimplifying inuse:
% 85.19/85.54 Done
% 85.19/85.54
% 85.19/85.54
% 85.19/85.54 Intermediate Status:
% 85.19/85.54 Generated: 379531
% 85.19/85.54 Kept: 114509
% 85.19/85.54 Inuse: 1904
% 85.19/85.54 Deleted: 3304
% 85.19/85.54 Deletedinuse: 13
% 85.19/85.54
% 85.19/85.54
% 85.19/85.54 Intermediate Status:
% 85.19/85.54 Generated: 385567
% 85.19/85.54 Kept: 117061
% 85.19/85.54 Inuse: 1912
% 85.19/85.54 Deleted: 3304
% 85.19/85.54 Deletedinuse: 13
% 85.19/85.54
% 85.19/85.54 Resimplifying inuse:
% 85.19/85.54 Done
% 85.19/85.54
% 85.19/85.54 Resimplifying inuse:
% 85.19/85.54 Done
% 85.19/85.54
% 85.19/85.54
% 85.19/85.54 Intermediate Status:
% 85.19/85.54 Generated: 391660
% 85.19/85.54 Kept: 119121
% 85.19/85.54 Inuse: 1919
% 85.19/85.54 Deleted: 3304
% 85.19/85.54 Deletedinuse: 13
% 85.19/85.54
% 85.19/85.54 Resimplifying inuse:
% 85.19/85.54 Done
% 85.19/85.54
% 85.19/85.54
% 85.19/85.54 Intermediate Status:
% 85.19/85.54 Generated: 399228
% 85.19/85.54 Kept: 122092
% 85.19/85.54 Inuse: 1932
% 85.19/85.54 Deleted: 3304
% 85.19/85.54 Deletedinuse: 13
% 85.19/85.54
% 85.19/85.54 Resimplifying inuse:
% 85.19/85.54 Done
% 85.19/85.54
% 85.19/85.54 Resimplifying clauses:
% 85.19/85.54 Done
% 85.19/85.54
% 85.19/85.54 Resimplifying inuse:
% 85.19/85.54 Done
% 85.19/85.54
% 85.19/85.54
% 85.19/85.54 Intermediate Status:
% 85.19/85.54 Generated: 405886
% 85.19/85.54 Kept: 124155
% 85.19/85.54 Inuse: 1951
% 85.19/85.54 Deleted: 3900
% 85.19/85.54 Deletedinuse: 13
% 85.19/85.54
% 85.19/85.54 Resimplifying inuse:
% 85.19/85.54 Done
% 85.19/85.54
% 85.19/85.54
% 85.19/85.54 Intermediate Status:
% 85.19/85.54 Generated: 412342
% 85.19/85.54 Kept: 127025
% 85.19/85.54 Inuse: 1957
% 85.19/85.54 Deleted: 3900
% 85.19/85.54 Deletedinuse: 13
% 85.19/85.54
% 85.19/85.54 Resimplifying inuse:
% 85.19/85.54 Done
% 85.19/85.54
% 85.19/85.54 Resimplifying inuse:
% 85.19/85.54 Done
% 85.19/85.54
% 85.19/85.54
% 85.19/85.54 Intermediate Status:
% 85.19/85.54 Generated: 421063
% 85.19/85.54 Kept: 129044
% 85.19/85.54 Inuse: 1987
% 85.19/85.54 Deleted: 3900
% 85.19/85.54 Deletedinuse: 13
% 85.19/85.54
% 85.19/85.54 Resimplifying inuse:
% 85.19/85.54 Done
% 85.19/85.54
% 85.19/85.54 Resimplifying inuse:
% 85.19/85.54 Done
% 85.19/85.54
% 85.19/85.54
% 85.19/85.54 Intermediate Status:
% 85.19/85.54 Generated: 430357
% 85.19/85.54 Kept: 131451
% 85.19/85.54 Inuse: 2012
% 85.19/85.54 Deleted: 3902
% 85.19/85.54 Deletedinuse: 15
% 85.19/85.54
% 85.19/85.54 Resimplifying inuse:
% 85.19/85.54 Done
% 85.19/85.54
% 85.19/85.54 Resimplifying inuse:
% 85.19/85.54 Done
% 85.19/85.54
% 85.19/85.54
% 85.19/85.54 Intermediate Status:
% 85.19/85.54 Generated: 438096
% 85.19/85.54 Kept: 133729
% 85.19/85.54 Inuse: 2032
% 85.19/85.54 Deleted: 3902
% 85.19/85.54 Deletedinuse: 15
% 85.19/85.54
% 85.19/85.54 Resimplifying inuse:
% 85.19/85.54 Done
% 85.19/85.54
% 85.19/85.54 Resimplifying inuse:
% 85.19/85.54 Done
% 85.19/85.54
% 85.19/85.54
% 85.19/85.54 Intermediate Status:
% 85.19/85.54 Generated: 452118
% 85.19/85.54 Kept: 138258
% 85.19/85.54 Inuse: 2037
% 85.19/85.54 Deleted: 3904
% 85.19/85.54 Deletedinuse: 17
% 85.19/85.54
% 85.19/85.54 Resimplifying inuse:
% 85.19/85.54 Done
% 85.19/85.54
% 85.19/85.54 Resimplifying inuse:
% 85.19/85.54 Done
% 85.19/85.54
% 85.19/85.54
% 85.19/85.54 Intermediate Status:
% 85.19/85.54 Generated: 461029
% 85.19/85.54 Kept: 140687
% 85.19/85.54 Inuse: 2052
% 85.19/85.54 Deleted: 3904
% 85.19/85.54 Deletedinuse: 17
% 85.19/85.54
% 85.19/85.54 Resimplifying inuse:
% 85.19/85.54 Done
% 85.19/85.54
% 85.19/85.54
% 85.19/85.54 Intermediate Status:
% 85.19/85.54 Generated: 473480
% 85.19/85.54 Kept: 143520
% 85.19/85.54 Inuse: 2062
% 85.19/85.54 Deleted: 3904
% 85.19/85.54 Deletedinuse: 17
% 85.19/85.54
% 85.19/85.54 Resimplifying inuse:
% 85.19/85.54 Done
% 85.19/85.54
% 85.19/85.54 Resimplifying clauses:
% 85.19/85.54 Done
% 85.19/85.54
% 85.19/85.54
% 85.19/85.54 Intermediate Status:
% 85.19/85.54 Generated: 485162
% 85.19/85.54 Kept: 146106
% 85.19/85.54 Inuse: 2067
% 85.19/85.54 Deleted: 8322
% 85.19/85.54 Deletedinuse: 17
% 85.19/85.54
% 85.19/85.54 Resimplifying inuse:
% 85.19/85.54 Done
% 85.19/85.54
% 85.19/85.54 Resimplifying inuse:
% 85.19/85.54 Done
% 85.19/85.54
% 85.19/85.54
% 85.19/85.54 Intermediate Status:
% 85.19/85.54 Generated: 494098
% 85.19/85.54 Kept: 148153
% 85.19/85.54 Inuse: 2095
% 85.19/85.54 Deleted: 8322
% 85.19/85.54 Deletedinuse: 17
% 85.19/85.54
% 85.19/85.54 Resimplifying inuse:
% 85.19/85.54 Done
% 85.19/85.54
% 85.19/85.54 Resimplifying inuse:
% 85.19/85.54 Done
% 85.19/85.54
% 85.19/85.54
% 85.19/85.54 Intermediate Status:
% 85.19/85.54 Generated: 501112
% 85.19/85.54 Kept: 150158
% 140.44/140.84 Inuse: 2113
% 140.44/140.84 Deleted: 8322
% 140.44/140.84 Deletedinuse: 17
% 140.44/140.84
% 140.44/140.84 Resimplifying inuse:
% 140.44/140.84 Done
% 140.44/140.84
% 140.44/140.84 Resimplifying inuse:
% 140.44/140.84 Done
% 140.44/140.84
% 140.44/140.84
% 140.44/140.84 Intermediate Status:
% 140.44/140.84 Generated: 509802
% 140.44/140.84 Kept: 152185
% 140.44/140.84 Inuse: 2142
% 140.44/140.84 Deleted: 8322
% 140.44/140.84 Deletedinuse: 17
% 140.44/140.84
% 140.44/140.84 Resimplifying inuse:
% 140.44/140.84 Done
% 140.44/140.84
% 140.44/140.84 Resimplifying inuse:
% 140.44/140.84 Done
% 140.44/140.84
% 140.44/140.84
% 140.44/140.84 Intermediate Status:
% 140.44/140.84 Generated: 519504
% 140.44/140.84 Kept: 154214
% 140.44/140.84 Inuse: 2175
% 140.44/140.84 Deleted: 8322
% 140.44/140.84 Deletedinuse: 17
% 140.44/140.84
% 140.44/140.84 Resimplifying inuse:
% 140.44/140.84 Done
% 140.44/140.84
% 140.44/140.84 Resimplifying inuse:
% 140.44/140.84 Done
% 140.44/140.84
% 140.44/140.84
% 140.44/140.84 Intermediate Status:
% 140.44/140.84 Generated: 528998
% 140.44/140.84 Kept: 156243
% 140.44/140.84 Inuse: 2203
% 140.44/140.84 Deleted: 8322
% 140.44/140.84 Deletedinuse: 17
% 140.44/140.84
% 140.44/140.84 Resimplifying inuse:
% 140.44/140.84 Done
% 140.44/140.84
% 140.44/140.84 Resimplifying inuse:
% 140.44/140.84 Done
% 140.44/140.84
% 140.44/140.84
% 140.44/140.84 Intermediate Status:
% 140.44/140.84 Generated: 538045
% 140.44/140.84 Kept: 158334
% 140.44/140.84 Inuse: 2230
% 140.44/140.84 Deleted: 8322
% 140.44/140.84 Deletedinuse: 17
% 140.44/140.84
% 140.44/140.84 Resimplifying inuse:
% 140.44/140.84 Done
% 140.44/140.84
% 140.44/140.84 Resimplifying inuse:
% 140.44/140.84 Done
% 140.44/140.84
% 140.44/140.84
% 140.44/140.84 Intermediate Status:
% 140.44/140.84 Generated: 549623
% 140.44/140.84 Kept: 160354
% 140.44/140.84 Inuse: 2263
% 140.44/140.84 Deleted: 8322
% 140.44/140.84 Deletedinuse: 17
% 140.44/140.84
% 140.44/140.84 Resimplifying inuse:
% 140.44/140.84 Done
% 140.44/140.84
% 140.44/140.84 Resimplifying inuse:
% 140.44/140.84 Done
% 140.44/140.84
% 140.44/140.84
% 140.44/140.84 Intermediate Status:
% 140.44/140.84 Generated: 561086
% 140.44/140.84 Kept: 162412
% 140.44/140.84 Inuse: 2293
% 140.44/140.84 Deleted: 8322
% 140.44/140.84 Deletedinuse: 17
% 140.44/140.84
% 140.44/140.84 Resimplifying inuse:
% 140.44/140.84 Done
% 140.44/140.84
% 140.44/140.84 Resimplifying clauses:
% 140.44/140.84 Done
% 140.44/140.84
% 140.44/140.84 Resimplifying inuse:
% 140.44/140.84 Done
% 140.44/140.84
% 140.44/140.84
% 140.44/140.84 Intermediate Status:
% 140.44/140.84 Generated: 572099
% 140.44/140.84 Kept: 164415
% 140.44/140.84 Inuse: 2313
% 140.44/140.84 Deleted: 8431
% 140.44/140.84 Deletedinuse: 17
% 140.44/140.84
% 140.44/140.84 Resimplifying inuse:
% 140.44/140.84 Done
% 140.44/140.84
% 140.44/140.84 Resimplifying inuse:
% 140.44/140.84 Done
% 140.44/140.84
% 140.44/140.84
% 140.44/140.84 Intermediate Status:
% 140.44/140.84 Generated: 581008
% 140.44/140.84 Kept: 166440
% 140.44/140.84 Inuse: 2328
% 140.44/140.84 Deleted: 8431
% 140.44/140.84 Deletedinuse: 17
% 140.44/140.84
% 140.44/140.84
% 140.44/140.84 Intermediate Status:
% 140.44/140.84 Generated: 595563
% 140.44/140.84 Kept: 170269
% 140.44/140.84 Inuse: 2337
% 140.44/140.84 Deleted: 8431
% 140.44/140.84 Deletedinuse: 17
% 140.44/140.84
% 140.44/140.84 Resimplifying inuse:
% 140.44/140.84 Done
% 140.44/140.84
% 140.44/140.84 Resimplifying inuse:
% 140.44/140.84 Done
% 140.44/140.84
% 140.44/140.84
% 140.44/140.84 Intermediate Status:
% 140.44/140.84 Generated: 606326
% 140.44/140.84 Kept: 172301
% 140.44/140.84 Inuse: 2357
% 140.44/140.84 Deleted: 8431
% 140.44/140.84 Deletedinuse: 17
% 140.44/140.84
% 140.44/140.84 Resimplifying inuse:
% 140.44/140.84 Done
% 140.44/140.84
% 140.44/140.84 Resimplifying inuse:
% 140.44/140.84 Done
% 140.44/140.84
% 140.44/140.84
% 140.44/140.84 Intermediate Status:
% 140.44/140.84 Generated: 617033
% 140.44/140.84 Kept: 175252
% 140.44/140.84 Inuse: 2368
% 140.44/140.84 Deleted: 8431
% 140.44/140.84 Deletedinuse: 17
% 140.44/140.84
% 140.44/140.84 Resimplifying inuse:
% 140.44/140.84 Done
% 140.44/140.84
% 140.44/140.84
% 140.44/140.84 Intermediate Status:
% 140.44/140.84 Generated: 628482
% 140.44/140.84 Kept: 179143
% 140.44/140.84 Inuse: 2377
% 140.44/140.84 Deleted: 8432
% 140.44/140.84 Deletedinuse: 18
% 140.44/140.84
% 140.44/140.84 Resimplifying inuse:
% 140.44/140.84 Done
% 140.44/140.84
% 140.44/140.84 Resimplifying inuse:
% 140.44/140.84 Done
% 140.44/140.84
% 140.44/140.84
% 140.44/140.84 Intermediate Status:
% 140.44/140.84 Generated: 635301
% 140.44/140.84 Kept: 181208
% 140.44/140.84 Inuse: 2401
% 140.44/140.84 Deleted: 8432
% 140.44/140.84 Deletedinuse: 18
% 140.44/140.84
% 140.44/140.84
% 140.44/140.84 Intermediate Status:
% 140.44/140.84 Generated: 640586
% 140.44/140.84 Kept: 183780
% 140.44/140.84 Inuse: 2402
% 140.44/140.84 Deleted: 8432
% 140.44/140.84 Deletedinuse: 18
% 140.44/140.84
% 140.44/140.84 Resimplifying inuse:
% 140.44/140.84 Done
% 140.44/140.84
% 140.44/140.84 Resimplifying clauses:
% 140.44/140.84 Done
% 140.44/140.84
% 140.44/140.84 Resimplifying inuse:
% 140.44/140.84 Done
% 140.44/140.84
% 140.44/140.84
% 140.44/140.84 Intermediate Status:
% 140.44/140.84 Generated: 655030
% 140.44/140.84 Kept: 188005
% 140.44/140.84 Inuse: 2417
% 140.44/140.84 Deleted: 8534
% 140.44/140.84 Deletedinuse: 18
% 140.44/140.84
% 140.44/140.84 Resimplifying inuse:
% 140.44/140.84 Done
% 140.44/140.84
% 140.44/140.84 Resimplifying inuse:
% 140.44/140.84 Done
% 140.44/140.84
% 140.44/140.84
% 140.44/140.84 Intermediate Status:
% 140.44/140.84 Generated: 673442
% 140.44/140.84 Kept: 192368
% 140.44/140.84 Inuse: 2437
% 140.44/140.84 Deleted: 8534
% 140.44/140.84 Deletedinuse: 18
% 140.44/140.84
% 140.44/140.84 Resimplifying inuse:
% 140.44/140.84 Done
% 140.44/140.84
% 140.44/140.84 Resimplifying inuse:
% 140.44/140.84 Done
% 140.44/140.84
% 140.44/140.84
% 140.44/140.84 Intermediate Status:
% 140.44/140.84 Generated: 683162
% 140.44/140.84 Kept: 195316
% 140.44/140.84 Inuse: 2452
% 140.44/140.84 Deleted: 8534
% 140.44/140.84 Deletedinuse: 18
% 140.44/140.84
% 140.44/140.84 Resimplifying inuse:
% 140.44/140.84 Done
% 140.44/140.84
% 140.44/140.84
% 140.44/140.84 Intermediate Status:
% 140.44/140.84 Generated: 691362
% 140.44/140.84 Kept: 198745
% 140.44/140.84 Inuse: 2462
% 140.44/140.84 Deleted: 8534
% 140.44/140.84 Deletedinuse: 18
% 140.44/140.84
% 140.44/140.84 Resimplifying inuse:
% 140.44/140.84 Done
% 140.44/140.84
% 140.44/140.84 Resimplifying inuse:
% 140.44/140.84 Done
% 140.44/140.84
% 140.44/140.84
% 140.44/140.84 Intermediate Status:
% 140.44/140.84 Generated: 697573
% 140.44/140.84 Kept: 200793
% 140.44/140.84 Inuse: 2480
% 140.44/140.84 Deleted: 8534
% 140.44/140.84 Deletedinuse: 18
% 140.44/140.84
% 140.44/140.84 Resimplifying inuse:
% 140.44/140.84 Done
% 140.44/140.84
% 140.44/140.84
% 140.44/140.84 Intermediate Status:
% 140.44/140.84 Generated: 703416
% 140.44/140.84 Kept: 203538
% 140.44/140.84 Inuse: 2482
% 140.44/140.84 Deleted: 8534
% 140.44/140.84 Deletedinuse: 18
% 140.44/140.84
% 140.44/140.84 Resimplifying inuse:
% 140.44/140.84 Done
% 140.44/140.84
% 140.44/140.84 Resimplifying clauses:
% 140.44/140.84 Done
% 140.44/140.84
% 140.44/140.84 Resimplifying inuse:
% 140.44/140.84 Done
% 140.44/140.84
% 140.44/140.84
% 140.44/140.84 Intermediate Status:
% 140.44/140.84 Generated: 720986
% 140.44/140.84 Kept: 207593
% 140.44/140.84 Inuse: 2497
% 140.44/140.84 Deleted: 8758
% 140.44/140.84 Deletedinuse: 18
% 140.44/140.84
% 140.44/140.84 Resimplifying inuse:
% 140.44/140.84 Done
% 140.44/140.84
% 140.44/140.84 Resimplifying inuse:
% 140.44/140.84 Done
% 140.44/140.84
% 140.44/140.84
% 140.44/140.84 Intermediate Status:
% 140.44/140.84 Generated: 731047
% 140.44/140.84 Kept: 211540
% 140.44/140.84 Inuse: 2512
% 140.44/140.84 Deleted: 8758
% 140.44/140.84 Deletedinuse: 18
% 140.44/140.84
% 140.44/140.84 Resimplifying inuse:
% 140.44/140.84 Done
% 140.44/140.84
% 140.44/140.84 Resimplifying inuse:
% 140.44/140.84 Done
% 140.44/140.84
% 140.44/140.84
% 140.44/140.84 Intermediate Status:
% 140.44/140.84 Generated: 742472
% 140.44/140.84 Kept: 214665
% 140.44/140.84 Inuse: 2527
% 140.44/140.84 Deleted: 8759
% 140.44/140.84 Deletedinuse: 19
% 140.44/140.84
% 140.44/140.84 Resimplifying inuse:
% 140.44/140.84 Done
% 140.44/140.84
% 140.44/140.84 Resimplifying inuse:
% 140.44/140.84 Done
% 140.44/140.84
% 140.44/140.84
% 140.44/140.84 Intermediate Status:
% 140.44/140.84 Generated: 750675
% 140.44/140.84 Kept: 216715
% 140.44/140.84 Inuse: 2549
% 204.52/204.92 Deleted: 8760
% 204.52/204.92 Deletedinuse: 20
% 204.52/204.92
% 204.52/204.92 Resimplifying inuse:
% 204.52/204.92 Done
% 204.52/204.92
% 204.52/204.92 Resimplifying inuse:
% 204.52/204.92 Done
% 204.52/204.92
% 204.52/204.92
% 204.52/204.92 Intermediate Status:
% 204.52/204.92 Generated: 757107
% 204.52/204.92 Kept: 218775
% 204.52/204.92 Inuse: 2564
% 204.52/204.92 Deleted: 8760
% 204.52/204.92 Deletedinuse: 20
% 204.52/204.92
% 204.52/204.92 Resimplifying inuse:
% 204.52/204.92 Done
% 204.52/204.92
% 204.52/204.92 Resimplifying inuse:
% 204.52/204.92 Done
% 204.52/204.92
% 204.52/204.92
% 204.52/204.92 Intermediate Status:
% 204.52/204.92 Generated: 765667
% 204.52/204.92 Kept: 220803
% 204.52/204.92 Inuse: 2577
% 204.52/204.92 Deleted: 8760
% 204.52/204.92 Deletedinuse: 20
% 204.52/204.92
% 204.52/204.92 Resimplifying inuse:
% 204.52/204.92 Done
% 204.52/204.92
% 204.52/204.92 Resimplifying inuse:
% 204.52/204.92 Done
% 204.52/204.92
% 204.52/204.92
% 204.52/204.92 Intermediate Status:
% 204.52/204.92 Generated: 774926
% 204.52/204.92 Kept: 223177
% 204.52/204.92 Inuse: 2592
% 204.52/204.92 Deleted: 8760
% 204.52/204.92 Deletedinuse: 20
% 204.52/204.92
% 204.52/204.92 Resimplifying inuse:
% 204.52/204.92 Done
% 204.52/204.92
% 204.52/204.92
% 204.52/204.92 Intermediate Status:
% 204.52/204.92 Generated: 799053
% 204.52/204.92 Kept: 229425
% 204.52/204.92 Inuse: 2597
% 204.52/204.92 Deleted: 8760
% 204.52/204.92 Deletedinuse: 20
% 204.52/204.92
% 204.52/204.92 Resimplifying inuse:
% 204.52/204.92 Done
% 204.52/204.92
% 204.52/204.92 Resimplifying clauses:
% 204.52/204.92 Done
% 204.52/204.92
% 204.52/204.92 Resimplifying inuse:
% 204.52/204.92 Done
% 204.52/204.92
% 204.52/204.92
% 204.52/204.92 Intermediate Status:
% 204.52/204.92 Generated: 808065
% 204.52/204.92 Kept: 231494
% 204.52/204.92 Inuse: 2612
% 204.52/204.92 Deleted: 9269
% 204.52/204.92 Deletedinuse: 21
% 204.52/204.92
% 204.52/204.92 Resimplifying inuse:
% 204.52/204.92 Done
% 204.52/204.92
% 204.52/204.92 Resimplifying inuse:
% 204.52/204.92 Done
% 204.52/204.92
% 204.52/204.92
% 204.52/204.92 Intermediate Status:
% 204.52/204.92 Generated: 815736
% 204.52/204.92 Kept: 233539
% 204.52/204.92 Inuse: 2623
% 204.52/204.92 Deleted: 9269
% 204.52/204.92 Deletedinuse: 21
% 204.52/204.92
% 204.52/204.92 Resimplifying inuse:
% 204.52/204.92 Done
% 204.52/204.92
% 204.52/204.92
% 204.52/204.92 Intermediate Status:
% 204.52/204.92 Generated: 826946
% 204.52/204.92 Kept: 236146
% 204.52/204.92 Inuse: 2632
% 204.52/204.92 Deleted: 9269
% 204.52/204.92 Deletedinuse: 21
% 204.52/204.92
% 204.52/204.92 Resimplifying inuse:
% 204.52/204.92 Done
% 204.52/204.92
% 204.52/204.92
% 204.52/204.92 Intermediate Status:
% 204.52/204.92 Generated: 837942
% 204.52/204.92 Kept: 238666
% 204.52/204.92 Inuse: 2637
% 204.52/204.92 Deleted: 9269
% 204.52/204.92 Deletedinuse: 21
% 204.52/204.92
% 204.52/204.92 Resimplifying inuse:
% 204.52/204.92 Done
% 204.52/204.92
% 204.52/204.92 Resimplifying inuse:
% 204.52/204.92 Done
% 204.52/204.92
% 204.52/204.92
% 204.52/204.92 Intermediate Status:
% 204.52/204.92 Generated: 853350
% 204.52/204.92 Kept: 243310
% 204.52/204.92 Inuse: 2652
% 204.52/204.92 Deleted: 9269
% 204.52/204.92 Deletedinuse: 21
% 204.52/204.92
% 204.52/204.92 Resimplifying inuse:
% 204.52/204.92 Done
% 204.52/204.92
% 204.52/204.92 Resimplifying inuse:
% 204.52/204.92 Done
% 204.52/204.92
% 204.52/204.92
% 204.52/204.92 Intermediate Status:
% 204.52/204.92 Generated: 862826
% 204.52/204.92 Kept: 245413
% 204.52/204.92 Inuse: 2669
% 204.52/204.92 Deleted: 9271
% 204.52/204.92 Deletedinuse: 23
% 204.52/204.92
% 204.52/204.92 Resimplifying inuse:
% 204.52/204.92 Done
% 204.52/204.92
% 204.52/204.92 Resimplifying inuse:
% 204.52/204.92 Done
% 204.52/204.92
% 204.52/204.92
% 204.52/204.92 Intermediate Status:
% 204.52/204.92 Generated: 872352
% 204.52/204.92 Kept: 247473
% 204.52/204.92 Inuse: 2679
% 204.52/204.92 Deleted: 9271
% 204.52/204.92 Deletedinuse: 23
% 204.52/204.92
% 204.52/204.92 Resimplifying inuse:
% 204.52/204.92 Done
% 204.52/204.92
% 204.52/204.92 Resimplifying inuse:
% 204.52/204.92 Done
% 204.52/204.92
% 204.52/204.92
% 204.52/204.92 Intermediate Status:
% 204.52/204.92 Generated: 879229
% 204.52/204.92 Kept: 249521
% 204.52/204.92 Inuse: 2688
% 204.52/204.92 Deleted: 9271
% 204.52/204.92 Deletedinuse: 23
% 204.52/204.92
% 204.52/204.92 Resimplifying clauses:
% 204.52/204.92 Done
% 204.52/204.92
% 204.52/204.92 Resimplifying inuse:
% 204.52/204.92 Done
% 204.52/204.92
% 204.52/204.92
% 204.52/204.92 Intermediate Status:
% 204.52/204.92 Generated: 887002
% 204.52/204.92 Kept: 251564
% 204.52/204.92 Inuse: 2699
% 204.52/204.92 Deleted: 12053
% 204.52/204.92 Deletedinuse: 23
% 204.52/204.92
% 204.52/204.92 Resimplifying inuse:
% 204.52/204.92 Done
% 204.52/204.92
% 204.52/204.92 Resimplifying inuse:
% 204.52/204.92 Done
% 204.52/204.92
% 204.52/204.92
% 204.52/204.92 Intermediate Status:
% 204.52/204.92 Generated: 896184
% 204.52/204.92 Kept: 253578
% 204.52/204.92 Inuse: 2713
% 204.52/204.92 Deleted: 12053
% 204.52/204.92 Deletedinuse: 23
% 204.52/204.92
% 204.52/204.92 Resimplifying inuse:
% 204.52/204.92 Done
% 204.52/204.92
% 204.52/204.92 Resimplifying inuse:
% 204.52/204.92 Done
% 204.52/204.92
% 204.52/204.92
% 204.52/204.92 Intermediate Status:
% 204.52/204.92 Generated: 911468
% 204.52/204.92 Kept: 257834
% 204.52/204.92 Inuse: 2727
% 204.52/204.92 Deleted: 12053
% 204.52/204.92 Deletedinuse: 23
% 204.52/204.92
% 204.52/204.92 Resimplifying inuse:
% 204.52/204.92 Done
% 204.52/204.92
% 204.52/204.92 Resimplifying inuse:
% 204.52/204.92 Done
% 204.52/204.92
% 204.52/204.92
% 204.52/204.92 Intermediate Status:
% 204.52/204.92 Generated: 923277
% 204.52/204.92 Kept: 260054
% 204.52/204.92 Inuse: 2747
% 204.52/204.92 Deleted: 12053
% 204.52/204.92 Deletedinuse: 23
% 204.52/204.92
% 204.52/204.92 Resimplifying inuse:
% 204.52/204.92 Done
% 204.52/204.92
% 204.52/204.92 Resimplifying inuse:
% 204.52/204.92 Done
% 204.52/204.92
% 204.52/204.92
% 204.52/204.92 Intermediate Status:
% 204.52/204.92 Generated: 949911
% 204.52/204.92 Kept: 265627
% 204.52/204.92 Inuse: 2767
% 204.52/204.92 Deleted: 12053
% 204.52/204.92 Deletedinuse: 23
% 204.52/204.92
% 204.52/204.92 Resimplifying inuse:
% 204.52/204.92 Done
% 204.52/204.92
% 204.52/204.92
% 204.52/204.92 Intermediate Status:
% 204.52/204.92 Generated: 959658
% 204.52/204.92 Kept: 268833
% 204.52/204.92 Inuse: 2772
% 204.52/204.92 Deleted: 12053
% 204.52/204.92 Deletedinuse: 23
% 204.52/204.92
% 204.52/204.92 Resimplifying inuse:
% 204.52/204.92 Done
% 204.52/204.92
% 204.52/204.92 Resimplifying clauses:
% 204.52/204.92 Done
% 204.52/204.92
% 204.52/204.92 Resimplifying inuse:
% 204.52/204.92 Done
% 204.52/204.92
% 204.52/204.92
% 204.52/204.92 Intermediate Status:
% 204.52/204.92 Generated: 964943
% 204.52/204.92 Kept: 270868
% 204.52/204.92 Inuse: 2787
% 204.52/204.92 Deleted: 12572
% 204.52/204.92 Deletedinuse: 23
% 204.52/204.92
% 204.52/204.92 Resimplifying inuse:
% 204.52/204.92 Done
% 204.52/204.92
% 204.52/204.92 Resimplifying inuse:
% 204.52/204.92 Done
% 204.52/204.92
% 204.52/204.92
% 204.52/204.92 Intermediate Status:
% 204.52/204.92 Generated: 970782
% 204.52/204.92 Kept: 272923
% 204.52/204.92 Inuse: 2804
% 204.52/204.92 Deleted: 12572
% 204.52/204.92 Deletedinuse: 23
% 204.52/204.92
% 204.52/204.92 Resimplifying inuse:
% 204.52/204.92 Done
% 204.52/204.92
% 204.52/204.92 Resimplifying inuse:
% 204.52/204.92 Done
% 204.52/204.92
% 204.52/204.92
% 204.52/204.92 Intermediate Status:
% 204.52/204.92 Generated: 979884
% 204.52/204.92 Kept: 275107
% 204.52/204.92 Inuse: 2817
% 204.52/204.92 Deleted: 12572
% 204.52/204.92 Deletedinuse: 23
% 204.52/204.92
% 204.52/204.92 Resimplifying inuse:
% 204.52/204.92 Done
% 204.52/204.92
% 204.52/204.92
% 204.52/204.92 Intermediate Status:
% 204.52/204.92 Generated: 998177
% 204.52/204.92 Kept: 277762
% 204.52/204.92 Inuse: 2826
% 204.52/204.92 Deleted: 12572
% 204.52/204.92 Deletedinuse: 23
% 204.52/204.92
% 204.52/204.92 Resimplifying inuse:
% 204.52/204.92 Done
% 204.52/204.92
% 204.52/204.92 Resimplifying inuse:
% 204.52/204.92 Done
% 204.52/204.92
% 204.52/204.92
% 204.52/204.92 Intermediate Status:
% 204.52/204.92 Generated: 1006625
% 204.52/204.92 Kept: 279817
% 204.52/204.92 Inuse: 2843
% 204.52/204.92 Deleted: 13121
% 204.52/204.92 Deletedinuse: 572
% 204.52/204.92
% 204.52/204.92 Resimplifying inuse:
% 204.52/204.92 Done
% 204.52/204.92
% 204.52/204.92 Resimplifying inuse:
% 204.52/204.92 Done
% 204.52/204.92
% 204.52/204.92
% 204.52/204.92 Intermediate Status:
% 204.52/204.92 Generated: 1015821
% 204.52/204.92 Kept: 281933
% 258.14/258.54 Inuse: 2852
% 258.14/258.54 Deleted: 13121
% 258.14/258.54 Deletedinuse: 572
% 258.14/258.54
% 258.14/258.54 Resimplifying inuse:
% 258.14/258.54 Done
% 258.14/258.54
% 258.14/258.54 Resimplifying inuse:
% 258.14/258.54 Done
% 258.14/258.54
% 258.14/258.54
% 258.14/258.54 Intermediate Status:
% 258.14/258.54 Generated: 1028868
% 258.14/258.54 Kept: 284380
% 258.14/258.54 Inuse: 2877
% 258.14/258.54 Deleted: 13121
% 258.14/258.54 Deletedinuse: 572
% 258.14/258.54
% 258.14/258.54 Resimplifying inuse:
% 258.14/258.54 Done
% 258.14/258.54
% 258.14/258.54 Resimplifying inuse:
% 258.14/258.54 Done
% 258.14/258.54
% 258.14/258.54
% 258.14/258.54 Intermediate Status:
% 258.14/258.54 Generated: 1036353
% 258.14/258.54 Kept: 286438
% 258.14/258.54 Inuse: 2891
% 258.14/258.54 Deleted: 13121
% 258.14/258.54 Deletedinuse: 572
% 258.14/258.54
% 258.14/258.54 Resimplifying inuse:
% 258.14/258.54 Done
% 258.14/258.54
% 258.14/258.54 Resimplifying inuse:
% 258.14/258.54 Done
% 258.14/258.54
% 258.14/258.54
% 258.14/258.54 Intermediate Status:
% 258.14/258.54 Generated: 1043495
% 258.14/258.54 Kept: 288449
% 258.14/258.54 Inuse: 2901
% 258.14/258.54 Deleted: 13121
% 258.14/258.54 Deletedinuse: 572
% 258.14/258.54
% 258.14/258.54 Resimplifying inuse:
% 258.14/258.54 Done
% 258.14/258.54
% 258.14/258.54 Resimplifying clauses:
% 258.14/258.54 Done
% 258.14/258.54
% 258.14/258.54 Resimplifying inuse:
% 258.14/258.54 Done
% 258.14/258.54
% 258.14/258.54
% 258.14/258.54 Intermediate Status:
% 258.14/258.54 Generated: 1053521
% 258.14/258.54 Kept: 290507
% 258.14/258.54 Inuse: 2921
% 258.14/258.54 Deleted: 39692
% 258.14/258.54 Deletedinuse: 572
% 258.14/258.54
% 258.14/258.54 Resimplifying inuse:
% 258.14/258.54 Done
% 258.14/258.54
% 258.14/258.54 Resimplifying inuse:
% 258.14/258.54 Done
% 258.14/258.54
% 258.14/258.54
% 258.14/258.54 Intermediate Status:
% 258.14/258.54 Generated: 1062258
% 258.14/258.54 Kept: 292541
% 258.14/258.54 Inuse: 2939
% 258.14/258.54 Deleted: 39693
% 258.14/258.54 Deletedinuse: 573
% 258.14/258.54
% 258.14/258.54 Resimplifying inuse:
% 258.14/258.54 Done
% 258.14/258.54
% 258.14/258.54 Resimplifying inuse:
% 258.14/258.54 Done
% 258.14/258.54
% 258.14/258.54
% 258.14/258.54 Intermediate Status:
% 258.14/258.54 Generated: 1072124
% 258.14/258.54 Kept: 294551
% 258.14/258.54 Inuse: 2958
% 258.14/258.54 Deleted: 39693
% 258.14/258.54 Deletedinuse: 573
% 258.14/258.54
% 258.14/258.54 Resimplifying inuse:
% 258.14/258.54 Done
% 258.14/258.54
% 258.14/258.54 Resimplifying inuse:
% 258.14/258.54 Done
% 258.14/258.54
% 258.14/258.54
% 258.14/258.54 Intermediate Status:
% 258.14/258.54 Generated: 1081190
% 258.14/258.54 Kept: 296703
% 258.14/258.54 Inuse: 2976
% 258.14/258.54 Deleted: 39693
% 258.14/258.54 Deletedinuse: 573
% 258.14/258.54
% 258.14/258.54 Resimplifying inuse:
% 258.14/258.54 Done
% 258.14/258.54
% 258.14/258.54 Resimplifying inuse:
% 258.14/258.54 Done
% 258.14/258.54
% 258.14/258.54
% 258.14/258.54 Intermediate Status:
% 258.14/258.54 Generated: 1089606
% 258.14/258.54 Kept: 298704
% 258.14/258.54 Inuse: 2988
% 258.14/258.54 Deleted: 39694
% 258.14/258.54 Deletedinuse: 573
% 258.14/258.54
% 258.14/258.54 Resimplifying inuse:
% 258.14/258.54 Done
% 258.14/258.54
% 258.14/258.54 Resimplifying inuse:
% 258.14/258.54 Done
% 258.14/258.54
% 258.14/258.54
% 258.14/258.54 Intermediate Status:
% 258.14/258.54 Generated: 1099252
% 258.14/258.54 Kept: 300932
% 258.14/258.54 Inuse: 3001
% 258.14/258.54 Deleted: 39694
% 258.14/258.54 Deletedinuse: 573
% 258.14/258.54
% 258.14/258.54 Resimplifying inuse:
% 258.14/258.54 Done
% 258.14/258.54
% 258.14/258.54 Resimplifying inuse:
% 258.14/258.54 Done
% 258.14/258.54
% 258.14/258.54
% 258.14/258.54 Intermediate Status:
% 258.14/258.54 Generated: 1108519
% 258.14/258.54 Kept: 303000
% 258.14/258.54 Inuse: 3015
% 258.14/258.54 Deleted: 39694
% 258.14/258.54 Deletedinuse: 573
% 258.14/258.54
% 258.14/258.54 Resimplifying inuse:
% 258.14/258.54 Done
% 258.14/258.54
% 258.14/258.54
% 258.14/258.54 Intermediate Status:
% 258.14/258.54 Generated: 1116642
% 258.14/258.54 Kept: 305085
% 258.14/258.54 Inuse: 3029
% 258.14/258.54 Deleted: 39694
% 258.14/258.54 Deletedinuse: 573
% 258.14/258.54
% 258.14/258.54 Resimplifying inuse:
% 258.14/258.54 Done
% 258.14/258.54
% 258.14/258.54 Resimplifying inuse:
% 258.14/258.54 Done
% 258.14/258.54
% 258.14/258.54
% 258.14/258.54 Intermediate Status:
% 258.14/258.54 Generated: 1122891
% 258.14/258.54 Kept: 307187
% 258.14/258.54 Inuse: 3039
% 258.14/258.54 Deleted: 39694
% 258.14/258.54 Deletedinuse: 573
% 258.14/258.54
% 258.14/258.54 Resimplifying inuse:
% 258.14/258.54 Done
% 258.14/258.54
% 258.14/258.54 Resimplifying inuse:
% 258.14/258.54 Done
% 258.14/258.54
% 258.14/258.54
% 258.14/258.54 Intermediate Status:
% 258.14/258.54 Generated: 1129942
% 258.14/258.54 Kept: 309217
% 258.14/258.54 Inuse: 3048
% 258.14/258.54 Deleted: 39695
% 258.14/258.54 Deletedinuse: 574
% 258.14/258.54
% 258.14/258.54 Resimplifying inuse:
% 258.14/258.54 Done
% 258.14/258.54
% 258.14/258.54 Resimplifying clauses:
% 258.14/258.54 Done
% 258.14/258.54
% 258.14/258.54 Resimplifying inuse:
% 258.14/258.54 Done
% 258.14/258.54
% 258.14/258.54
% 258.14/258.54 Intermediate Status:
% 258.14/258.54 Generated: 1139274
% 258.14/258.54 Kept: 311410
% 258.14/258.54 Inuse: 3061
% 258.14/258.54 Deleted: 46224
% 258.14/258.54 Deletedinuse: 574
% 258.14/258.54
% 258.14/258.54 Resimplifying inuse:
% 258.14/258.54 Done
% 258.14/258.54
% 258.14/258.54 Resimplifying inuse:
% 258.14/258.54 Done
% 258.14/258.54
% 258.14/258.54
% 258.14/258.54 Intermediate Status:
% 258.14/258.54 Generated: 1147891
% 258.14/258.54 Kept: 313416
% 258.14/258.54 Inuse: 3075
% 258.14/258.54 Deleted: 46224
% 258.14/258.54 Deletedinuse: 574
% 258.14/258.54
% 258.14/258.54 Resimplifying inuse:
% 258.14/258.54 Done
% 258.14/258.54
% 258.14/258.54 Resimplifying inuse:
% 258.14/258.54 Done
% 258.14/258.54
% 258.14/258.54
% 258.14/258.54 Intermediate Status:
% 258.14/258.54 Generated: 1155921
% 258.14/258.54 Kept: 315585
% 258.14/258.54 Inuse: 3086
% 258.14/258.54 Deleted: 46224
% 258.14/258.54 Deletedinuse: 574
% 258.14/258.54
% 258.14/258.54 Resimplifying inuse:
% 258.14/258.54 Done
% 258.14/258.54
% 258.14/258.54 Resimplifying inuse:
% 258.14/258.54 Done
% 258.14/258.54
% 258.14/258.54
% 258.14/258.54 Intermediate Status:
% 258.14/258.54 Generated: 1163199
% 258.14/258.54 Kept: 317611
% 258.14/258.54 Inuse: 3098
% 258.14/258.54 Deleted: 46224
% 258.14/258.54 Deletedinuse: 574
% 258.14/258.54
% 258.14/258.54
% 258.14/258.54 Intermediate Status:
% 258.14/258.54 Generated: 1170787
% 258.14/258.54 Kept: 320062
% 258.14/258.54 Inuse: 3101
% 258.14/258.54 Deleted: 46224
% 258.14/258.54 Deletedinuse: 574
% 258.14/258.54
% 258.14/258.54 Resimplifying inuse:
% 258.14/258.54 Done
% 258.14/258.54
% 258.14/258.54
% 258.14/258.54 Intermediate Status:
% 258.14/258.54 Generated: 1179214
% 258.14/258.54 Kept: 322707
% 258.14/258.54 Inuse: 3106
% 258.14/258.54 Deleted: 46224
% 258.14/258.54 Deletedinuse: 574
% 258.14/258.54
% 258.14/258.54 Resimplifying inuse:
% 258.14/258.54 Done
% 258.14/258.54
% 258.14/258.54 Resimplifying inuse:
% 258.14/258.54 Done
% 258.14/258.54
% 258.14/258.54
% 258.14/258.54 Intermediate Status:
% 258.14/258.54 Generated: 1188008
% 258.14/258.54 Kept: 325087
% 258.14/258.54 Inuse: 3121
% 258.14/258.54 Deleted: 46224
% 258.14/258.54 Deletedinuse: 574
% 258.14/258.54
% 258.14/258.54 Resimplifying inuse:
% 258.14/258.54 Done
% 258.14/258.54
% 258.14/258.54 Resimplifying inuse:
% 258.14/258.54 Done
% 258.14/258.54
% 258.14/258.54
% 258.14/258.54 Intermediate Status:
% 258.14/258.54 Generated: 1196010
% 258.14/258.54 Kept: 327183
% 258.14/258.54 Inuse: 3133
% 258.14/258.54 Deleted: 46224
% 258.14/258.54 Deletedinuse: 574
% 258.14/258.54
% 258.14/258.54 Resimplifying inuse:
% 258.14/258.54 Done
% 258.14/258.54
% 258.14/258.54 Resimplifying inuse:
% 258.14/258.54 Done
% 258.14/258.54
% 258.14/258.54
% 258.14/258.54 Intermediate Status:
% 258.14/258.54 Generated: 1203834
% 258.14/258.54 Kept: 329246
% 258.14/258.54 Inuse: 3145
% 258.14/258.54 Deleted: 46224
% 258.14/258.54 Deletedinuse: 574
% 258.14/258.54
% 258.14/258.54 Resimplifying inuse:
% 258.14/258.54 Done
% 258.14/258.54
% 258.14/258.54 Resimplifying clauses:
% 258.14/258.54 Done
% 258.14/258.54
% 258.14/258.54 Resimplifying inuse:
% 258.14/258.54 Done
% 258.14/258.54
% 258.14/258.54
% 258.14/258.54 Intermediate Status:
% 258.14/258.54 Generated: 1211952
% 258.14/258.54 Kept: 331580
% 258.14/258.54 Inuse: 3156
% 258.14/258.54 Deleted: 46321
% 258.14/258.54 DeleteCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------