TSTP Solution File: LAT259-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LAT259-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n021.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 03:49:37 EDT 2022
% Result : Timeout 300.07s 300.52s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT259-1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Wed Jun 29 16:16:12 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.18/1.55 *** allocated 10000 integers for termspace/termends
% 1.18/1.55 *** allocated 10000 integers for clauses
% 1.18/1.55 *** allocated 10000 integers for justifications
% 1.18/1.55 *** allocated 15000 integers for termspace/termends
% 1.18/1.55 *** allocated 22500 integers for termspace/termends
% 1.18/1.55 *** allocated 33750 integers for termspace/termends
% 1.18/1.55 *** allocated 50625 integers for termspace/termends
% 1.18/1.55 Bliksem 1.12
% 1.18/1.55
% 1.18/1.55
% 1.18/1.55 Automatic Strategy Selection
% 1.18/1.55
% 1.18/1.55 Clauses:
% 1.18/1.55 [
% 1.18/1.55 [ ~( =( 'c_Tarski_Opotype_Opotype__ext'( X, Y, Z, T, U ),
% 1.18/1.55 'c_Tarski_Opotype_Opotype__ext'( W, V0, V1, T, U ) ) ), =( X, W ) ],
% 1.18/1.55 [ ~( =( 'c_Tarski_Opotype_Opotype__ext'( X, Y, Z, T, U ),
% 1.18/1.55 'c_Tarski_Opotype_Opotype__ext'( W, V0, V1, T, U ) ) ), =( Y, V0 ) ],
% 1.18/1.55 [ ~( =( 'c_Tarski_Opotype_Opotype__ext'( X, Y, Z, T, U ),
% 1.18/1.55 'c_Tarski_Opotype_Opotype__ext'( W, V0, V1, T, U ) ) ), =( Z, V1 ) ],
% 1.18/1.55 [ =( 'c_Tarski_Opotype_Opset'( 'c_Tarski_Opotype_Opotype__ext'( X, Y, Z
% 1.18/1.55 , T, U ), T, U ), X ) ],
% 1.18/1.55 [ =( 'c_Tarski_Opotype_Oorder'( 'c_Tarski_Opotype_Opotype__ext'( X, Y, Z
% 1.18/1.55 , T, U ), T, U ), Y ) ],
% 1.18/1.55 [ =( 'c_Tarski_Opotype_Omore'( 'c_Tarski_Opotype_Opotype__ext'( X, Y, Z
% 1.18/1.55 , T, T ), T, T ), Z ) ],
% 1.18/1.55 [ =( 'c_Tarski_Opotype_Opset__update'( X,
% 1.18/1.55 'c_Tarski_Opotype_Opotype__ext'( Y, Z, T, U, W ), U, W ),
% 1.18/1.55 'c_Tarski_Opotype_Opotype__ext'( X, Z, T, U, W ) ) ],
% 1.18/1.55 [ =( 'c_Tarski_Opotype_Oorder__update'( X,
% 1.18/1.55 'c_Tarski_Opotype_Opotype__ext'( Y, Z, T, U, W ), U, W ),
% 1.18/1.55 'c_Tarski_Opotype_Opotype__ext'( Y, X, T, U, W ) ) ],
% 1.18/1.55 [ =( 'c_Tarski_Opotype_Omore__update'( X,
% 1.18/1.55 'c_Tarski_Opotype_Opotype__ext'( Y, Z, T, U, W ), W, U ),
% 1.18/1.55 'c_Tarski_Opotype_Opotype__ext'( Y, Z, X, U, W ) ) ],
% 1.18/1.55 [ =( 'c_Binomial_Obinomial'( 'c_0', 'c_Suc'( X ) ), 'c_0' ) ],
% 1.18/1.55 [ =( 'c_Binomial_Obinomial'( X, 'c_Suc'( 'c_0' ) ), X ) ],
% 1.18/1.55 [ =( 'c_Binomial_Obinomial'( 'c_Suc'( X ), 'c_Suc'( Y ) ), 'c_plus'(
% 1.18/1.55 'c_Binomial_Obinomial'( X, Y ), 'c_Binomial_Obinomial'( X, 'c_Suc'( Y ) )
% 1.18/1.55 , 'tc_nat' ) ) ],
% 1.18/1.55 [ =( 'c_Binomial_Obinomial'( 'c_Suc'( X ), X ), 'c_Suc'( X ) ) ],
% 1.18/1.55 [ =( 'c_Binomial_Obinomial'( X, 'c_0' ), 'c_1' ) ],
% 1.18/1.55 [ =( 'c_Binomial_Obinomial'( X, X ), 'c_1' ) ],
% 1.18/1.55 [ ~( 'c_in'( X, 'c_Datatype_Oo2s'( Y, Z ), Z ) ), =( Y,
% 1.18/1.55 'c_Datatype_Ooption_OSome'( X, Z ) ) ],
% 1.18/1.55 [ 'c_in'( X, 'c_Datatype_Oo2s'( 'c_Datatype_Ooption_OSome'( X, Y ), Y )
% 1.18/1.55 , Y ) ],
% 1.18/1.55 [ =( X, 'c_Datatype_Ooption_ONone' ), =( X, 'c_Datatype_Ooption_OSome'(
% 1.18/1.55 'c_Main_Onot__None__eq__1'( X, Y ), Y ) ) ],
% 1.18/1.55 [ =( X, 'c_Datatype_Ooption_ONone' ), =( X, 'c_Datatype_Ooption_OSome'(
% 1.18/1.55 'c_Main_Onot__Some__eq__1'( X, Y ), Y ) ) ],
% 1.18/1.55 [ =( 'c_Datatype_Oo2s'( 'c_Datatype_Ooption_OSome'( X, Y ), Y ),
% 1.18/1.55 'c_insert'( X, 'c_emptyset', Y ) ) ],
% 1.18/1.55 [ ~( =( 'c_Datatype_Oo2s'( X, Y ), 'c_emptyset' ) ), =( X,
% 1.18/1.55 'c_Datatype_Ooption_ONone' ) ],
% 1.18/1.55 [ =( 'c_Datatype_Oo2s'( 'c_Datatype_Ooption_ONone', X ), 'c_emptyset' )
% 1.18/1.55 ],
% 1.18/1.55 [ ~( =( 'c_Datatype_Ooption_ONone', 'c_Datatype_Ooption_OSome'( X, Y ) )
% 1.18/1.55 ) ],
% 1.18/1.55 [ ~( =( 'c_Datatype_Ooption_OSome'( X, Y ), 'c_Datatype_Ooption_ONone' )
% 1.18/1.55 ) ],
% 1.18/1.55 [ ~( =( 'c_Datatype_Ooption_OSome'( X, Y ), 'c_Datatype_Ooption_OSome'(
% 1.18/1.55 Z, Y ) ) ), =( X, Z ) ],
% 1.18/1.55 [ =( 'c_Nat_Osize'( 'c_Datatype_Ooption_ONone', 'tc_Datatype_Ooption'( X
% 1.18/1.55 ) ), 'c_0' ) ],
% 1.18/1.55 [ =( 'c_Nat_Osize'( 'c_Datatype_Ooption_OSome'( X, Y ),
% 1.18/1.55 'tc_Datatype_Ooption'( Y ) ), 'c_0' ) ],
% 1.18/1.55 [ =( 'c_Nat_Osize'( 'c_Pair'( X, Y, Z, T ), 'tc_prod'( Z, T ) ), 'c_0' )
% 1.18/1.55 ],
% 1.18/1.55 [ =( 'c_Nat_Osize'( 'c_Sum__Type_OInl'( X, Y, Z ), 'tc_sum'( Y, Z ) ),
% 1.18/1.55 'c_0' ) ],
% 1.18/1.55 [ =( 'c_Nat_Osize'( 'c_Sum__Type_OInr'( X, Y, Z ), 'tc_sum'( Z, Y ) ),
% 1.18/1.55 'c_0' ) ],
% 1.18/1.55 [ =( 'c_Datatype_Othe'( 'c_Datatype_Ooption_OSome'( X, Y ), Y ), X ) ]
% 1.18/1.55 ,
% 1.18/1.55 [ =( 'c_Datatype_Ounit_Ounit__case'( X, 'c_Product__Type_OUnity', Y ), X
% 1.18/1.55 ) ],
% 1.18/1.55 [ =( 'c_Datatype_Ounit_Ounit__rec'( X, 'c_Product__Type_OUnity', Y ), X
% 1.18/1.55 ) ],
% 1.18/1.55 [ =( 'c_Nat_Osize'( 'c_Product__Type_OUnity', 'tc_Product__Type_Ounit' )
% 1.18/1.55 , 'c_0' ) ],
% 1.18/1.55 [ ~( =( 'c_Datatype__Universe_OAtom'( X, Y, Z ),
% 1.18/1.55 'c_Datatype__Universe_OAtom'( T, Y, Z ) ) ), =( X, T ) ],
% 1.18/1.55 [ ~( =( 'c_Datatype__Universe_OAtom'( X, Y, Z ),
% 1.18/1.55 'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ],
% 1.18/1.55 [ =( 'c_Relation_ODomain'( 'c_Datatype__Universe_Odprod'( X, Y, Z, T ),
% 1.18/1.55 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.18/1.55 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Ouprod'(
% 1.18/1.55 'c_Relation_ODomain'( X, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.18/1.55 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ),
% 1.18/1.55 'c_Relation_ODomain'( Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.18/1.55 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), Z, T ) ) ],
% 1.18/1.55 [ =( 'c_Relation_ODomain'( 'c_Datatype__Universe_Odsum'( X, Y, Z, T ),
% 1.18/1.55 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.18/1.55 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Ousum'(
% 1.18/1.55 'c_Relation_ODomain'( X, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.18/1.55 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ),
% 1.18/1.55 'c_Relation_ODomain'( Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.18/1.55 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), Z, T ) ) ],
% 1.18/1.55 [ ~( =( 'c_Datatype__Universe_OIn0'( X, Y, Z ),
% 1.18/1.55 'c_Datatype__Universe_OIn0'( T, Y, Z ) ) ), =( X, T ) ],
% 1.18/1.55 [ ~( =( 'c_Datatype__Universe_OIn0'( X, Y, Z ),
% 1.18/1.55 'c_Datatype__Universe_OIn1'( T, Y, Z ) ) ) ],
% 1.18/1.55 [ ~( =( 'c_Datatype__Universe_OIn1'( X, Y, Z ),
% 1.18/1.55 'c_Datatype__Universe_OIn1'( T, Y, Z ) ) ), =( X, T ) ],
% 1.18/1.55 [ ~( =( 'c_Datatype__Universe_OIn1'( X, Y, Z ),
% 1.18/1.55 'c_Datatype__Universe_OIn0'( T, Y, Z ) ) ) ],
% 1.18/1.55 [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ),
% 1.18/1.55 'c_Datatype__Universe_ONumb'( T, Y, Z ) ) ) ],
% 1.18/1.55 [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ),
% 1.18/1.55 'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ],
% 1.18/1.55 [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ),
% 1.18/1.55 'c_Datatype__Universe_OLeaf'( T, Y, Z ) ) ) ],
% 1.18/1.55 [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ),
% 1.18/1.55 'c_Datatype__Universe_OScons'( T, U, Y, Z ) ) ) ],
% 1.18/1.55 [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 1.18/1.55 'c_Datatype__Universe_OScons'( U, W, Z, T ) ) ), =( X, U ) ],
% 1.18/1.55 [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 1.18/1.55 'c_Datatype__Universe_OScons'( U, W, Z, T ) ) ), =( Y, W ) ],
% 1.18/1.55 [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 1.18/1.55 'c_Datatype__Universe_OAtom'( U, Z, T ) ) ) ],
% 1.18/1.55 [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 1.18/1.55 'c_Datatype__Universe_OLeaf'( U, Z, T ) ) ) ],
% 1.18/1.55 [ ~( =( 'c_Datatype__Universe_OScons'( X, Y, Z, T ),
% 1.18/1.55 'c_Datatype__Universe_ONumb'( U, Z, T ) ) ) ],
% 1.18/1.55 [ =( 'c_Datatype__Universe_Ontrunc'( 'c_0', X, Y, Z ), 'c_emptyset' ) ]
% 1.18/1.55 ,
% 1.18/1.55 [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X ),
% 1.18/1.55 'c_Datatype__Universe_OAtom'( Y, Z, T ), Z, T ),
% 1.18/1.55 'c_Datatype__Universe_OAtom'( Y, Z, T ) ) ],
% 1.18/1.55 [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( 'c_Suc'( X ) ),
% 1.18/1.55 'c_Datatype__Universe_OIn0'( Y, Z, T ), Z, T ),
% 1.18/1.55 'c_Datatype__Universe_OIn0'( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X )
% 1.18/1.55 , Y, Z, T ), Z, T ) ) ],
% 1.18/1.55 [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( 'c_Suc'( X ) ),
% 1.18/1.55 'c_Datatype__Universe_OIn1'( Y, Z, T ), Z, T ),
% 1.18/1.55 'c_Datatype__Universe_OIn1'( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X )
% 1.18/1.55 , Y, Z, T ), Z, T ) ) ],
% 1.18/1.55 [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X ),
% 1.18/1.55 'c_Datatype__Universe_OLeaf'( Y, Z, T ), Z, T ),
% 1.18/1.55 'c_Datatype__Universe_OLeaf'( Y, Z, T ) ) ],
% 1.18/1.55 [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X ),
% 1.18/1.55 'c_Datatype__Universe_ONumb'( Y, Z, T ), Z, T ),
% 1.18/1.55 'c_Datatype__Universe_ONumb'( Y, Z, T ) ) ],
% 1.18/1.55 [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( X ),
% 1.18/1.55 'c_Datatype__Universe_OScons'( Y, Z, T, U ), T, U ),
% 1.18/1.55 'c_Datatype__Universe_OScons'( 'c_Datatype__Universe_Ontrunc'( X, Y, T, U
% 1.18/1.55 ), 'c_Datatype__Universe_Ontrunc'( X, Z, T, U ), T, U ) ) ],
% 1.18/1.55 [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( 'c_0' ),
% 1.18/1.55 'c_Datatype__Universe_OIn0'( X, Y, Z ), Y, Z ), 'c_emptyset' ) ],
% 1.18/1.55 [ =( 'c_Datatype__Universe_Ontrunc'( 'c_Suc'( 'c_0' ),
% 1.18/1.55 'c_Datatype__Universe_OIn1'( X, Y, Z ), Y, Z ), 'c_emptyset' ) ],
% 1.18/1.55 [ =( 'c_div'( X, 'c_0', 'tc_nat' ), 'c_0' ) ],
% 1.18/1.55 [ =( 'c_Divides_Oop_Amod'( X, 'c_0', 'tc_nat' ), X ) ],
% 1.18/1.55 [ =( 'c_div'( 'c_0', X, 'tc_nat' ), 'c_0' ) ],
% 1.18/1.55 [ =( 'c_div'( X, 'c_Suc'( 'c_0' ), 'tc_nat' ), X ) ],
% 1.18/1.55 [ 'c_lessequals'( 'c_div'( X, Y, 'tc_nat' ), X, 'tc_nat' ) ],
% 1.18/1.55 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_div'( X, Y, 'tc_nat' ), 'c_0' )
% 1.18/1.55 ],
% 1.18/1.55 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), ~( 'c_less'( 'c_1', Y, 'tc_nat' )
% 1.18/1.55 ), 'c_less'( 'c_div'( X, Y, 'tc_nat' ), X, 'tc_nat' ) ],
% 1.18/1.55 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 'c_times'( X, Y,
% 1.18/1.55 'tc_nat' ), 'c_times'( X, Z, 'tc_nat' ), 'tc_nat' ), 'c_div'( Y, Z,
% 1.18/1.55 'tc_nat' ) ) ],
% 1.18/1.55 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 'c_times'( Y, X,
% 1.18/1.55 'tc_nat' ), 'c_times'( Z, X, 'tc_nat' ), 'tc_nat' ), 'c_div'( Y, Z,
% 1.18/1.55 'tc_nat' ) ) ],
% 1.18/1.55 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 'c_plus'( Y,
% 1.18/1.55 'c_times'( Z, X, 'tc_nat' ), 'tc_nat' ), X, 'tc_nat' ), 'c_plus'( Z,
% 1.18/1.55 'c_div'( Y, X, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.18/1.55 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 'c_times'( X, Y,
% 1.18/1.55 'tc_nat' ), X, 'tc_nat' ), Y ) ],
% 1.18/1.55 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 'c_plus'( Y,
% 1.18/1.55 'c_times'( X, Z, 'tc_nat' ), 'tc_nat' ), X, 'tc_nat' ), 'c_plus'( Z,
% 1.18/1.55 'c_div'( Y, X, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.18/1.55 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( 'c_times'( Y, X,
% 1.18/1.55 'tc_nat' ), X, 'tc_nat' ), Y ) ],
% 1.18/1.55 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_div'( X, X, 'tc_nat' ),
% 1.18/1.55 'c_1' ) ],
% 1.18/1.55 [ ~( 'c_Divides_Oop_Advd'( 'c_0', X, 'tc_nat' ) ), =( X, 'c_0' ) ],
% 1.18/1.55 [ 'c_Divides_Oop_Advd'( 'c_0', 'c_0', 'tc_nat' ) ],
% 1.18/1.55 [ ~( 'c_Divides_Oop_Advd'( X, 'c_Suc'( 'c_0' ), 'tc_nat' ) ), =( X,
% 1.18/1.55 'c_Suc'( 'c_0' ) ) ],
% 1.18/1.55 [ 'c_Divides_Oop_Advd'( 'c_Suc'( 'c_0' ), 'c_Suc'( 'c_0' ), 'tc_nat' ) ]
% 1.18/1.55 ,
% 1.18/1.55 [ 'c_Divides_Oop_Advd'( X, X, 'tc_nat' ) ],
% 1.18/1.55 [ =( 'c_Divides_Oop_Amod'( 'c_0', X, 'tc_nat' ), 'c_0' ) ],
% 1.18/1.55 [ =( 'c_Divides_Oop_Amod'( X, 'c_Suc'( 'c_0' ), 'tc_nat' ), 'c_0' ) ]
% 1.18/1.55 ,
% 1.18/1.55 [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, Y, 'tc_nat' ), X, 'tc_nat' ),
% 1.18/1.55 'c_Divides_Oop_Amod'( Y, X, 'tc_nat' ) ) ],
% 1.18/1.55 [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, Y, 'tc_nat' ), Y, 'tc_nat' ),
% 1.18/1.55 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ) ) ],
% 1.18/1.55 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_lessequals'(
% 1.18/1.55 'c_Divides_Oop_Amod'( Y, X, 'tc_nat' ), X, 'tc_nat' ) ],
% 1.18/1.55 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_Divides_Oop_Amod'( X, Y,
% 1.18/1.55 'tc_nat' ), X ) ],
% 1.18/1.55 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_Divides_Oop_Amod'( Y
% 1.18/1.55 , X, 'tc_nat' ), X, 'tc_nat' ) ],
% 1.18/1.55 [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, 'c_times'( Y, Z, 'tc_nat' ),
% 1.18/1.55 'tc_nat' ), Z, 'tc_nat' ), 'c_Divides_Oop_Amod'( X, Z, 'tc_nat' ) ) ]
% 1.18/1.55 ,
% 1.18/1.55 [ =( 'c_Divides_Oop_Amod'( 'c_times'( X, Y, 'tc_nat' ), X, 'tc_nat' ),
% 1.18/1.55 'c_0' ) ],
% 1.18/1.55 [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, 'c_times'( Y, Z, 'tc_nat' ),
% 1.18/1.55 'tc_nat' ), Y, 'tc_nat' ), 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ) ) ]
% 1.18/1.55 ,
% 1.18/1.55 [ =( 'c_Divides_Oop_Amod'( 'c_times'( X, Y, 'tc_nat' ), Y, 'tc_nat' ),
% 1.18/1.55 'c_0' ) ],
% 1.18/1.55 [ =( 'c_Divides_Oop_Amod'( X, X, 'tc_nat' ), 'c_0' ) ],
% 1.18/1.55 [ =( 'c_div'( 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ), Y, 'tc_nat' ),
% 1.18/1.55 'c_0' ) ],
% 1.18/1.55 [ =( 'c_Divides_Oop_Amod'( 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ), Y,
% 1.18/1.55 'tc_nat' ), 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ) ) ],
% 1.18/1.55 [ ~( =( 'c_emptyset', 'c_Equiv__Relations_Oquotient'( X, Y, Z ) ) ), =(
% 1.18/1.55 X, 'c_emptyset' ) ],
% 1.18/1.55 [ =( 'c_emptyset', 'c_Equiv__Relations_Oquotient'( 'c_emptyset', X, Y )
% 1.18/1.55 ) ],
% 1.18/1.55 [ ~( =( 'c_Equiv__Relations_Oquotient'( X, Y, Z ), 'c_emptyset' ) ), =(
% 1.18/1.55 X, 'c_emptyset' ) ],
% 1.18/1.55 [ =( 'c_Equiv__Relations_Oquotient'( 'c_emptyset', X, Y ), 'c_emptyset'
% 1.18/1.55 ) ],
% 1.18/1.55 [ =( 'c_Extraction_Osumbool_Osumbool__case'( X, Y,
% 1.18/1.55 'c_Extraction_Osumbool_OLeft', Z ), X ) ],
% 1.18/1.55 [ =( 'c_Extraction_Osumbool_Osumbool__case'( X, Y,
% 1.18/1.55 'c_Extraction_Osumbool_ORight', Z ), Y ) ],
% 1.18/1.55 [ ~( =( 'c_Extraction_Osumbool_OLeft', 'c_Extraction_Osumbool_ORight' )
% 1.18/1.55 ) ],
% 1.18/1.55 [ ~( =( 'c_Extraction_Osumbool_ORight', 'c_Extraction_Osumbool_OLeft' )
% 1.18/1.55 ) ],
% 1.18/1.55 [ =( 'c_Extraction_Osumbool_Osumbool__rec'( X, Y,
% 1.18/1.55 'c_Extraction_Osumbool_OLeft', Z ), X ) ],
% 1.18/1.55 [ =( 'c_Extraction_Osumbool_Osumbool__rec'( X, Y,
% 1.18/1.55 'c_Extraction_Osumbool_ORight', Z ), Y ) ],
% 1.18/1.55 [ =( 'c_Nat_Osize'( 'c_Extraction_Osumbool_OLeft',
% 1.18/1.55 'tc_Extraction_Osumbool' ), 'c_0' ) ],
% 1.18/1.55 [ =( 'c_Nat_Osize'( 'c_Extraction_Osumbool_ORight',
% 1.18/1.55 'tc_Extraction_Osumbool' ), 'c_0' ) ],
% 1.18/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~(
% 1.18/1.55 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_lessequals'( Y
% 1.18/1.55 , 'c_Finite__Set_OMax'( Z, X ), X ), =( Z, 'c_emptyset' ) ],
% 1.18/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.18/1.55 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'( 'c_Finite__Set_OMax'(
% 1.18/1.55 Y, X ), Y, X ), =( Y, 'c_emptyset' ) ],
% 1.18/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.18/1.55 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), =( Y, 'c_emptyset' ), =(
% 1.18/1.55 'c_Finite__Set_OMax'( 'c_insert'( Z, Y, X ), X ), 'c_Orderings_Omax'( Z,
% 1.18/1.55 'c_Finite__Set_OMax'( Y, X ), X ) ) ],
% 1.18/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~(
% 1.18/1.55 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_lessequals'(
% 1.18/1.55 'c_Finite__Set_OMax'( Z, X ), T, X ) ), 'c_lessequals'( Y, T, X ), =( Z,
% 1.18/1.55 'c_emptyset' ) ],
% 1.18/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.18/1.55 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'(
% 1.18/1.55 'c_Main_OMax__le__iff__1'( Y, Z, X ), Y, X ), 'c_lessequals'(
% 1.18/1.55 'c_Finite__Set_OMax'( Y, X ), Z, X ), =( Y, 'c_emptyset' ) ],
% 1.18/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.18/1.55 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_lessequals'(
% 1.18/1.55 'c_Main_OMax__le__iff__1'( Y, Z, X ), Z, X ) ), 'c_lessequals'(
% 1.18/1.55 'c_Finite__Set_OMax'( Y, X ), Z, X ), =( Y, 'c_emptyset' ) ],
% 1.18/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~(
% 1.18/1.55 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_less'(
% 1.18/1.55 'c_Finite__Set_OMax'( Z, X ), T, X ) ), 'c_less'( Y, T, X ), =( Z,
% 1.18/1.55 'c_emptyset' ) ],
% 1.18/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.18/1.55 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'(
% 1.18/1.55 'c_Main_OMax__less__iff__1'( Y, Z, X ), Y, X ), 'c_less'(
% 1.18/1.55 'c_Finite__Set_OMax'( Y, X ), Z, X ), =( Y, 'c_emptyset' ) ],
% 1.18/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.18/1.55 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_less'(
% 1.18/1.55 'c_Main_OMax__less__iff__1'( Y, Z, X ), Z, X ) ), 'c_less'(
% 1.18/1.55 'c_Finite__Set_OMax'( Y, X ), Z, X ), =( Y, 'c_emptyset' ) ],
% 1.18/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_Finite__Set_OMax'(
% 1.18/1.55 'c_insert'( Y, 'c_emptyset', X ), X ), Y ) ],
% 1.18/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~(
% 1.18/1.55 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_lessequals'(
% 1.18/1.55 T, 'c_Finite__Set_OMin'( Z, X ), X ) ), 'c_lessequals'( T, Y, X ), =( Z,
% 1.18/1.55 'c_emptyset' ) ],
% 1.18/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.18/1.55 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'(
% 1.18/1.55 'c_Main_OMin__ge__iff__1'( Y, Z, X ), Y, X ), 'c_lessequals'( Z,
% 1.18/1.55 'c_Finite__Set_OMin'( Y, X ), X ), =( Y, 'c_emptyset' ) ],
% 1.18/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.18/1.55 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_lessequals'( Z,
% 1.18/1.55 'c_Main_OMin__ge__iff__1'( Y, Z, X ), X ) ), 'c_lessequals'( Z,
% 1.18/1.55 'c_Finite__Set_OMin'( Y, X ), X ), =( Y, 'c_emptyset' ) ],
% 1.18/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~(
% 1.18/1.55 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_less'( T,
% 1.18/1.55 'c_Finite__Set_OMin'( Z, X ), X ) ), 'c_less'( T, Y, X ), =( Z,
% 1.18/1.55 'c_emptyset' ) ],
% 1.18/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.18/1.55 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'(
% 1.18/1.55 'c_Main_OMin__gr__iff__1'( Y, Z, X ), Y, X ), 'c_less'( Z,
% 1.18/1.55 'c_Finite__Set_OMin'( Y, X ), X ), =( Y, 'c_emptyset' ) ],
% 1.18/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.18/1.55 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), ~( 'c_less'( Z,
% 1.18/1.55 'c_Main_OMin__gr__iff__1'( Y, Z, X ), X ) ), 'c_less'( Z,
% 1.18/1.55 'c_Finite__Set_OMin'( Y, X ), X ), =( Y, 'c_emptyset' ) ],
% 1.18/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.18/1.55 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_in'( 'c_Finite__Set_OMin'(
% 1.18/1.55 Y, X ), Y, X ), =( Y, 'c_emptyset' ) ],
% 1.18/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.18/1.55 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), =( Y, 'c_emptyset' ), =(
% 1.18/1.55 'c_Finite__Set_OMin'( 'c_insert'( Z, Y, X ), X ), 'c_Orderings_Omin'( Z,
% 1.18/1.55 'c_Finite__Set_OMin'( Y, X ), X ) ) ],
% 1.18/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~(
% 1.18/1.55 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_lessequals'(
% 1.18/1.55 'c_Finite__Set_OMin'( Z, X ), Y, X ), =( Z, 'c_emptyset' ) ],
% 1.18/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_Finite__Set_OMin'(
% 1.18/1.55 'c_insert'( Y, 'c_emptyset', X ), X ), Y ) ],
% 1.18/1.55 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), ~( =(
% 1.18/1.55 'c_Finite__Set_Ocard'( X, Y ), 'c_0' ) ), =( X, 'c_emptyset' ) ],
% 1.18/1.55 [ ~( 'c_in'( 'c_emptyset', 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ),
% 1.18/1.55 =( 'c_Finite__Set_Ocard'( 'c_emptyset', X ), 'c_0' ) ],
% 1.18/1.55 [ =( 'c_Finite__Set_Ocard'( 'c_emptyset', X ), 'c_0' ) ],
% 1.18/1.55 [ 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ), =(
% 1.18/1.55 'c_Finite__Set_Ocard'( X, Y ), 'c_0' ) ],
% 1.18/1.55 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( Z,
% 1.18/1.55 X, Y ), =( 'c_Finite__Set_Ocard'( 'c_insert'( Z, X, Y ), Y ), 'c_Suc'(
% 1.18/1.55 'c_Finite__Set_Ocard'( X, Y ) ) ) ],
% 1.18/1.55 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'(
% 1.18/1.55 'c_minus'( X, Z, 'tc_set'( Y ) ), 'c_Finite__Set_OFinites', 'tc_set'( Y )
% 1.18/1.55 ) ],
% 1.18/1.55 [ ~( 'c_in'( 'c_minus'( X, 'c_insert'( Y, Z, T ), 'tc_set'( T ) ),
% 1.18/1.55 'c_Finite__Set_OFinites', 'tc_set'( T ) ) ), 'c_in'( 'c_minus'( X, Z,
% 1.18/1.55 'tc_set'( T ) ), 'c_Finite__Set_OFinites', 'tc_set'( T ) ) ],
% 1.18/1.55 [ ~( 'c_in'( 'c_minus'( X, Y, 'tc_set'( Z ) ), 'c_Finite__Set_OFinites'
% 1.18/1.55 , 'tc_set'( Z ) ) ), 'c_in'( 'c_minus'( X, 'c_insert'( T, Y, Z ),
% 1.18/1.55 'tc_set'( Z ) ), 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ],
% 1.18/1.55 [ ~( 'c_in'( 'c_Pow'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'(
% 1.18/1.55 'tc_set'( Y ) ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) )
% 1.18/1.55 ],
% 1.18/1.55 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'(
% 1.18/1.55 'c_Pow'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'( Y ) ) ) ]
% 1.18/1.55 ,
% 1.18/1.55 [ ~( 'c_in'( 'c_union'( X, Y, Z ), 'c_Finite__Set_OFinites', 'tc_set'( Z
% 1.18/1.55 ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ],
% 1.18/1.55 [ ~( 'c_in'( 'c_union'( X, Y, Z ), 'c_Finite__Set_OFinites', 'tc_set'( Z
% 1.18/1.55 ) ) ), 'c_in'( Y, 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ],
% 1.18/1.55 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), ~( 'c_in'(
% 1.18/1.55 Z, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'( 'c_union'( Z, X,
% 1.18/1.55 Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 1.18/1.55 [ ~( 'c_in'( 'c_Relation_Oconverse'( X, Y, Z ), 'c_Finite__Set_OFinites'
% 1.18/1.55 , 'tc_set'( 'tc_prod'( Z, Y ) ) ) ), 'c_in'( X, 'c_Finite__Set_OFinites'
% 1.18/1.55 , 'tc_set'( 'tc_prod'( Y, Z ) ) ) ],
% 1.18/1.55 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 'tc_prod'( Y, Z ) )
% 1.18/1.55 ) ), 'c_in'( 'c_Relation_Oconverse'( X, Y, Z ), 'c_Finite__Set_OFinites'
% 1.18/1.55 , 'tc_set'( 'tc_prod'( Z, Y ) ) ) ],
% 1.18/1.55 [ ~( 'c_in'( 'c_insert'( X, Y, Z ), 'c_Finite__Set_OFinites', 'tc_set'(
% 1.18/1.55 Z ) ) ), 'c_in'( Y, 'c_Finite__Set_OFinites', 'tc_set'( Z ) ) ],
% 1.18/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y,
% 1.18/1.55 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), 'c_lessequals'(
% 1.18/1.55 'c_Finite__Set_OMin'( Y, X ), 'c_Finite__Set_OMax'( Y, X ), X ), =( Y,
% 1.18/1.55 'c_emptyset' ) ],
% 1.18/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~(
% 1.18/1.55 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), =( Z,
% 1.18/1.55 'c_emptyset' ), =( 'c_Orderings_Omin'( Y, 'c_Finite__Set_OMax'( Z, X ), X
% 1.18/1.55 ), Y ) ],
% 1.18/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_in'( Y, Z, X ) ), ~(
% 1.18/1.55 'c_in'( Z, 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ), =( Z,
% 1.18/1.55 'c_emptyset' ), =( 'c_Orderings_Omax'( Y, 'c_Finite__Set_OMin'( Z, X ), X
% 1.18/1.55 ), Y ) ],
% 1.18/1.55 [ =( 'c_NatArith_Oof__nat'( X, 'tc_nat' ), X ) ],
% 1.18/1.55 [ =( 'c_Fun_Oid'( X, Y ), X ) ],
% 1.18/1.55 [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, 'c_0', 'tc_nat', 'tc_nat' ) ), X ) ]
% 1.18/1.55 ,
% 1.18/1.55 [ =( 'c_GCD_Ogcd'( 'c_Pair'( 'c_0', X, 'tc_nat', 'tc_nat' ) ), X ) ]
% 1.18/1.55 ,
% 1.18/1.55 [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, 'c_Suc'( 'c_0' ), 'tc_nat', 'tc_nat' ) )
% 1.18/1.55 , 'c_1' ) ],
% 1.18/1.55 [ =( 'c_GCD_Ogcd'( 'c_Pair'( 'c_Suc'( 'c_0' ), X, 'tc_nat', 'tc_nat' ) )
% 1.18/1.55 , 'c_1' ) ],
% 1.18/1.55 [ =( 'c_GCD_Ogcd'( 'c_Pair'( 'c_plus'( X, Y, 'tc_nat' ), Y, 'tc_nat',
% 1.18/1.55 'tc_nat' ) ), 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ) ) ) ]
% 1.18/1.55 ,
% 1.18/1.55 [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, 'c_plus'( X, Y, 'tc_nat' ), 'tc_nat',
% 1.18/1.55 'tc_nat' ) ), 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ) ) ) ]
% 1.18/1.55 ,
% 1.18/1.55 [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, 'c_plus'( Y, X, 'tc_nat' ), 'tc_nat',
% 1.18/1.55 'tc_nat' ) ), 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ) ) ) ]
% 1.18/1.55 ,
% 1.18/1.55 [ ~( 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Y, Z, 'tc_nat',
% 1.18/1.55 'tc_nat' ) ), 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_nat' ) ],
% 1.18/1.55 [ ~( 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Y, Z, 'tc_nat',
% 1.18/1.55 'tc_nat' ) ), 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, Z, 'tc_nat' ) ],
% 1.18/1.55 [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_nat' ) ), ~( 'c_Divides_Oop_Advd'(
% 1.18/1.55 X, Z, 'tc_nat' ) ), 'c_Divides_Oop_Advd'( X, 'c_GCD_Ogcd'( 'c_Pair'( Z, Y
% 1.18/1.55 , 'tc_nat', 'tc_nat' ) ), 'tc_nat' ) ],
% 1.18/1.55 [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, 'c_times'( X, Y, 'tc_nat' ), 'tc_nat',
% 1.18/1.55 'tc_nat' ) ), X ) ],
% 1.18/1.55 [ =( 'c_GCD_Ogcd'( 'c_Pair'( X, X, 'tc_nat', 'tc_nat' ) ), X ) ],
% 1.18/1.55 [ ~( 'c_in'( 'c_UNIV', 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) )
% 1.18/1.55 ) ],
% 1.18/1.55 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.18/1.55 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 'c_HOL_Oabs'(
% 1.18/1.55 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), X ), 'c_1' ) ],
% 1.18/1.55 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'class_Power_Orecpower'( X
% 1.18/1.55 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 'c_HOL_Oabs'(
% 1.18/1.55 'c_Nat_Opower'( 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), Y, X ), X
% 1.18/1.55 ), 'c_1' ) ],
% 1.18/1.55 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.18/1.55 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0',
% 1.18/1.55 'c_Numeral_Onumber__of'( Y, X ), X ) ), 'c_IntDef_Oneg'(
% 1.18/1.55 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls',
% 1.18/1.55 'c_Numeral_Obin__minus'( Y ) ), X ), X ) ],
% 1.18/1.55 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.18/1.55 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.18/1.55 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls',
% 1.18/1.55 'c_Numeral_Obin__minus'( Y ) ), X ), X ) ), 'c_less'( 'c_0',
% 1.18/1.55 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.18/1.55 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.18/1.55 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_1',
% 1.18/1.55 'c_Numeral_Onumber__of'( Y, X ), X ) ), 'c_IntDef_Oneg'(
% 1.18/1.55 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'(
% 1.18/1.55 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.18/1.55 , X ), X ) ],
% 1.18/1.55 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.18/1.55 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.18/1.55 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'(
% 1.18/1.55 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.18/1.55 , X ), X ) ), 'c_less'( 'c_1', 'c_Numeral_Onumber__of'( Y, X ), X ) ]
% 1.18/1.55 ,
% 1.18/1.55 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.18/1.55 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'(
% 1.18/1.55 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), 'c_IntDef_Oneg'(
% 1.18/1.55 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.18/1.55 'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ) ],
% 1.18/1.55 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.18/1.55 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.18/1.55 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.18/1.55 'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ) ), 'c_less'(
% 1.18/1.55 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ],
% 1.18/1.55 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.18/1.55 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'(
% 1.18/1.55 'c_Numeral_Onumber__of'( Y, X ), 'c_1', X ) ), 'c_IntDef_Oneg'(
% 1.18/1.55 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.18/1.55 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.18/1.55 'c_Numeral_Obit_OB1' ) ) ), X ), X ) ],
% 1.18/1.55 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.18/1.55 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.18/1.55 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.18/1.55 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.18/1.55 'c_Numeral_Obit_OB1' ) ) ), X ), X ) ), 'c_less'( 'c_Numeral_Onumber__of'(
% 1.18/1.55 Y, X ), 'c_1', X ) ],
% 1.18/1.55 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.18/1.55 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.18/1.55 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.18/1.55 'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ) ), ~(
% 1.18/1.55 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ) ],
% 1.18/1.55 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.18/1.55 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'(
% 1.18/1.55 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.18/1.55 'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ), 'c_lessequals'(
% 1.18/1.55 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.18/1.55 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.18/1.55 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.18/1.55 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.18/1.55 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.18/1.55 'c_Numeral_Obit_OB1' ) ) ), X ), X ) ), ~( 'c_lessequals'( 'c_1',
% 1.18/1.55 'c_Numeral_Onumber__of'( Y, X ), X ) ) ],
% 1.18/1.55 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.18/1.55 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'(
% 1.18/1.55 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.18/1.55 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.18/1.55 'c_Numeral_Obit_OB1' ) ) ), X ), X ), 'c_lessequals'( 'c_1',
% 1.18/1.55 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.18/1.55 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.18/1.55 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.18/1.55 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls',
% 1.18/1.55 'c_Numeral_Obin__minus'( Y ) ), X ), X ) ), ~( 'c_lessequals'(
% 1.18/1.55 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ) ],
% 1.18/1.55 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.18/1.55 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'(
% 1.18/1.55 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls',
% 1.18/1.55 'c_Numeral_Obin__minus'( Y ) ), X ), X ), 'c_lessequals'(
% 1.18/1.55 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ],
% 1.18/1.55 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.18/1.55 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.18/1.55 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'(
% 1.18/1.55 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.18/1.55 , X ), X ) ), ~( 'c_lessequals'( 'c_Numeral_Onumber__of'( Y, X ), 'c_1',
% 1.18/1.55 X ) ) ],
% 1.18/1.55 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.18/1.55 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'(
% 1.18/1.55 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'(
% 1.18/1.55 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.18/1.55 , X ), X ), 'c_lessequals'( 'c_Numeral_Onumber__of'( Y, X ), 'c_1', X ) ]
% 1.18/1.55 ,
% 1.18/1.55 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'( 'c_1', 'c_1', X
% 1.18/1.55 ), 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.18/1.55 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), X ) ) ]
% 1.18/1.55 ,
% 1.18/1.55 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'( 'c_1',
% 1.18/1.55 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'(
% 1.18/1.55 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.18/1.55 'c_Numeral_Obit_OB1' ), Y ), X ) ) ],
% 1.18/1.55 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'(
% 1.18/1.55 'c_Numeral_Onumber__of'( Y, X ), 'c_1', X ), 'c_Numeral_Onumber__of'(
% 1.18/1.55 'c_Numeral_Obin__add'( Y, 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.18/1.55 'c_Numeral_Obit_OB1' ) ), X ) ) ],
% 1.18/1.55 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_minus'( 'c_1',
% 1.18/1.55 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'(
% 1.18/1.55 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.18/1.55 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) ), X ) ) ],
% 1.18/1.55 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_minus'(
% 1.18/1.55 'c_Numeral_Onumber__of'( Y, X ), 'c_1', X ), 'c_Numeral_Onumber__of'(
% 1.18/1.55 'c_Numeral_Obin__add'( Y, 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'(
% 1.18/1.55 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ) ) ), X ) ) ],
% 1.18/1.55 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( =( 'c_0',
% 1.18/1.55 'c_Numeral_Onumber__of'( Y, X ) ) ), 'c_IntDef_Oiszero'(
% 1.18/1.55 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls',
% 1.18/1.55 'c_Numeral_Obin__minus'( Y ) ), X ), X ) ],
% 1.18/1.55 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'c_IntDef_Oiszero'(
% 1.18/1.55 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OPls',
% 1.18/1.55 'c_Numeral_Obin__minus'( Y ) ), X ), X ) ), =( 'c_0',
% 1.18/1.55 'c_Numeral_Onumber__of'( Y, X ) ) ],
% 1.18/1.55 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( =( 'c_1',
% 1.18/1.55 'c_Numeral_Onumber__of'( Y, X ) ) ), 'c_IntDef_Oiszero'(
% 1.18/1.55 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'(
% 1.18/1.55 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.18/1.55 , X ), X ) ],
% 1.18/1.55 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'c_IntDef_Oiszero'(
% 1.18/1.55 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'(
% 1.18/1.55 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obin__minus'( Y ) )
% 1.18/1.55 , X ), X ) ), =( 'c_1', 'c_Numeral_Onumber__of'( Y, X ) ) ],
% 1.18/1.55 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( =( 'c_Numeral_Onumber__of'(
% 1.18/1.55 Y, X ), 'c_0' ) ), 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'(
% 1.18/1.55 'c_Numeral_Obin__add'( Y, 'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ),
% 1.18/1.55 X ), X ) ],
% 1.18/1.55 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'c_IntDef_Oiszero'(
% 1.18/1.55 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.18/1.55 'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ) ), X ), X ) ), =(
% 1.18/1.55 'c_Numeral_Onumber__of'( Y, X ), 'c_0' ) ],
% 1.18/1.55 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( =( 'c_Numeral_Onumber__of'(
% 1.18/1.55 Y, X ), 'c_1' ) ), 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'(
% 1.18/1.55 'c_Numeral_Obin__add'( Y, 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'(
% 1.18/1.55 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ) ) ), X ), X ) ],
% 1.18/1.55 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'c_IntDef_Oiszero'(
% 1.18/1.55 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.18/1.55 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.18/1.55 'c_Numeral_Obit_OB1' ) ) ), X ), X ) ), =( 'c_Numeral_Onumber__of'( Y, X
% 1.18/1.55 ), 'c_1' ) ],
% 1.18/1.55 [ ~( =( 'c_IntDef_Oint'( X ), 'c_Numeral_Onumber__of'( Y,
% 1.18/1.55 'tc_IntDef_Oint' ) ) ), =( X, 'c_IntDef_Onat'( 'c_Numeral_Onumber__of'( Y
% 1.18/1.55 , 'tc_IntDef_Oint' ) ) ) ],
% 1.18/1.55 [ ~( =( 'c_IntDef_Oint'( X ), 'c_Numeral_Onumber__of'( Y,
% 1.18/1.55 'tc_IntDef_Oint' ) ) ), 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Y
% 1.18/1.55 , 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.18/1.55 [ ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.18/1.55 ), 'tc_IntDef_Oint' ) ), =( 'c_IntDef_Oint'( 'c_IntDef_Onat'(
% 1.18/1.55 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ) ) ),
% 1.18/1.55 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ) ) ],
% 1.18/1.55 [ =( 'c_IntDef_Onat'( 'c_1' ), 'c_Suc'( 'c_0' ) ) ],
% 1.18/1.55 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_IntDef_Oof__int'(
% 1.18/1.55 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', 'tc_IntDef_Oint' ), X ),
% 1.18/1.55 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ) ) ],
% 1.18/1.55 [ ~( 'c_less'( 'c_Suc'( 'c_0' ), 'c_IntDef_Onat'( X ), 'tc_nat' ) ),
% 1.18/1.55 'c_less'( 'c_1', X, 'tc_IntDef_Oint' ) ],
% 1.18/1.55 [ ~( 'c_less'( 'c_1', X, 'tc_IntDef_Oint' ) ), 'c_less'( 'c_Suc'( 'c_0'
% 1.18/1.55 ), 'c_IntDef_Onat'( X ), 'tc_nat' ) ],
% 1.18/1.55 [ =( 'c_plus'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' )
% 1.18/1.55 , 'c_minus'( X, Y, 'tc_IntDef_Oint' ) ) ],
% 1.18/1.55 [ ~( 'c_less'( 'c_HOL_Oabs'( X, 'tc_IntDef_Oint' ), 'c_1',
% 1.18/1.55 'tc_IntDef_Oint' ) ), =( X, 'c_0' ) ],
% 1.18/1.55 [ 'c_less'( 'c_HOL_Oabs'( 'c_0', 'tc_IntDef_Oint' ), 'c_1',
% 1.18/1.55 'tc_IntDef_Oint' ) ],
% 1.18/1.55 [ ~( 'c_less'( X, 'c_plus'( Y, 'c_1', 'tc_IntDef_Oint' ),
% 1.18/1.55 'tc_IntDef_Oint' ) ), 'c_lessequals'( X, Y, 'tc_IntDef_Oint' ) ],
% 1.18/1.55 [ ~( 'c_lessequals'( X, Y, 'tc_IntDef_Oint' ) ), 'c_less'( X, 'c_plus'(
% 1.18/1.55 Y, 'c_1', 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.18/1.55 [ ~( 'c_lessequals'( X, 'c_minus'( Y, 'c_1', 'tc_IntDef_Oint' ),
% 1.18/1.55 'tc_IntDef_Oint' ) ), 'c_less'( X, Y, 'tc_IntDef_Oint' ) ],
% 1.18/1.55 [ ~( 'c_less'( X, Y, 'tc_IntDef_Oint' ) ), 'c_lessequals'( X, 'c_minus'(
% 1.18/1.55 Y, 'c_1', 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.18/1.55 [ ~( 'c_in'( X, 'c_IntDef_OInteg', 'tc_set'( 'tc_prod'( 'tc_nat',
% 1.18/1.55 'tc_nat' ) ) ) ), ~( 'c_in'( Y, 'c_IntDef_OInteg', 'tc_set'( 'tc_prod'(
% 1.18/1.55 'tc_nat', 'tc_nat' ) ) ) ), ~( =( 'c_IntDef_OAbs__Integ'( Y ),
% 1.18/1.55 'c_IntDef_OAbs__Integ'( X ) ) ), =( Y, X ) ],
% 1.18/1.55 [ ~( 'c_in'( X, 'c_IntDef_OInteg', 'tc_set'( 'tc_prod'( 'tc_nat',
% 1.18/1.55 'tc_nat' ) ) ) ), =( 'c_IntDef_ORep__Integ'( 'c_IntDef_OAbs__Integ'( X )
% 1.18/1.55 ), X ) ],
% 1.18/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'c_in'( 'c_0',
% 1.18/1.55 'c_IntDef_OInts', X ) ],
% 1.18/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'c_in'( 'c_1',
% 1.18/1.55 'c_IntDef_OInts', X ) ],
% 1.18/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_in'( Y,
% 1.18/1.55 'c_IntDef_OInts', X ) ), ~( 'c_in'( Z, 'c_IntDef_OInts', X ) ), 'c_in'(
% 1.18/1.55 'c_plus'( Z, Y, X ), 'c_IntDef_OInts', X ) ],
% 1.18/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_in'( Y,
% 1.18/1.55 'c_IntDef_OInts', X ) ), ~( 'c_in'( Z, 'c_IntDef_OInts', X ) ), 'c_in'(
% 1.18/1.55 'c_minus'( Z, Y, X ), 'c_IntDef_OInts', X ) ],
% 1.18/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_in'( Y,
% 1.18/1.55 'c_IntDef_OInts', X ) ), 'c_in'( 'c_uminus'( Y, X ), 'c_IntDef_OInts', X
% 1.18/1.55 ) ],
% 1.18/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_in'( Y,
% 1.18/1.55 'c_IntDef_OInts', X ) ), ~( 'c_in'( Z, 'c_IntDef_OInts', X ) ), 'c_in'(
% 1.18/1.55 'c_times'( Z, Y, X ), 'c_IntDef_OInts', X ) ],
% 1.18/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 'c_in'(
% 1.18/1.55 'c_0', 'c_IntDef_ONats', X ) ],
% 1.18/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 'c_in'(
% 1.18/1.55 'c_1', 'c_IntDef_ONats', X ) ],
% 1.18/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), ~(
% 1.18/1.55 'c_in'( Y, 'c_IntDef_ONats', X ) ), ~( 'c_in'( Z, 'c_IntDef_ONats', X ) )
% 1.18/1.55 , 'c_in'( 'c_plus'( Z, Y, X ), 'c_IntDef_ONats', X ) ],
% 1.18/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), ~(
% 1.18/1.55 'c_in'( Y, 'c_IntDef_ONats', X ) ), ~( 'c_in'( Z, 'c_IntDef_ONats', X ) )
% 1.18/1.55 , 'c_in'( 'c_times'( Z, Y, X ), 'c_IntDef_ONats', X ) ],
% 1.18/1.55 [ =( 'c_HOL_Oabs'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ),
% 1.18/1.55 'c_IntDef_Oint'( X ) ) ],
% 1.18/1.55 [ ~( =( 'c_Relation_OImage'( 'c_IntDef_Ointrel', 'c_insert'( X,
% 1.18/1.55 'c_emptyset', 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'tc_prod'( 'tc_nat',
% 1.18/1.55 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'c_Relation_OImage'(
% 1.18/1.55 'c_IntDef_Ointrel', 'c_insert'( Y, 'c_emptyset', 'tc_prod'( 'tc_nat',
% 1.18/1.55 'tc_nat' ) ), 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat',
% 1.18/1.55 'tc_nat' ) ) ) ), 'c_in'( 'c_Pair'( X, Y, 'tc_prod'( 'tc_nat', 'tc_nat' )
% 1.18/1.55 , 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'c_IntDef_Ointrel', 'tc_prod'(
% 1.18/1.55 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ]
% 1.18/1.55 ,
% 1.18/1.55 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'(
% 1.18/1.55 'tc_nat', 'tc_nat' ) ), 'c_IntDef_Ointrel', 'tc_prod'( 'tc_prod'(
% 1.18/1.55 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ), =(
% 1.18/1.55 'c_Relation_OImage'( 'c_IntDef_Ointrel', 'c_insert'( X, 'c_emptyset',
% 1.18/1.55 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'tc_prod'( 'tc_nat', 'tc_nat' ),
% 1.18/1.55 'tc_prod'( 'tc_nat', 'tc_nat' ) ), 'c_Relation_OImage'(
% 1.18/1.55 'c_IntDef_Ointrel', 'c_insert'( Y, 'c_emptyset', 'tc_prod'( 'tc_nat',
% 1.18/1.55 'tc_nat' ) ), 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat',
% 1.18/1.55 'tc_nat' ) ) ) ],
% 1.18/1.55 [ ~( =( 'c_0', 'c_1' ) ) ],
% 1.18/1.55 [ =( 'c_IntDef_Oint'( 'c_1' ), 'c_1' ) ],
% 1.18/1.55 [ =( 'c_IntDef_Oint'( 'c_Suc'( X ) ), 'c_plus'( 'c_1', 'c_IntDef_Oint'(
% 1.18/1.55 X ), 'tc_IntDef_Oint' ) ) ],
% 1.18/1.55 [ ~( =( 'c_IntDef_Oint'( X ), 'c_0' ) ), =( X, 'c_0' ) ],
% 1.18/1.55 [ =( 'c_IntDef_Oint'( 'c_0' ), 'c_0' ) ],
% 1.18/1.55 [ ~( =( 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ) ) ), =( X, Y ) ],
% 1.18/1.55 [ ~( 'c_lessequals'( 'c_IntDef_Oint'( X ), 'c_0', 'tc_IntDef_Oint' ) ),
% 1.18/1.55 =( X, 'c_0' ) ],
% 1.18/1.55 [ 'c_lessequals'( 'c_IntDef_Oint'( 'c_0' ), 'c_0', 'tc_IntDef_Oint' ) ]
% 1.18/1.55 ,
% 1.18/1.55 [ ~( 'c_less'( 'c_IntDef_Oint'( X ), 'c_0', 'tc_IntDef_Oint' ) ) ],
% 1.18/1.55 [ ~( 'c_lessequals'( 'c_0', X, 'tc_IntDef_Oint' ) ), =( 'c_IntDef_Oint'(
% 1.18/1.55 'c_IntDef_Onat'( X ) ), X ) ],
% 1.18/1.55 [ 'c_lessequals'( 'c_0', X, 'tc_IntDef_Oint' ), =( 'c_IntDef_Oint'(
% 1.18/1.55 'c_IntDef_Onat'( X ) ), 'c_0' ) ],
% 1.18/1.55 [ 'c_in'( 'c_Relation_OImage'( 'c_IntDef_Ointrel', 'c_insert'( 'c_Pair'(
% 1.18/1.55 X, Y, 'tc_nat', 'tc_nat' ), 'c_emptyset', 'tc_prod'( 'tc_nat', 'tc_nat' )
% 1.18/1.55 ), 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ),
% 1.18/1.55 'c_IntDef_OInteg', 'tc_set'( 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ],
% 1.18/1.55 [ ~( 'c_in'( 'c_Pair'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ), 'c_Pair'( Z
% 1.18/1.55 , T, 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'(
% 1.18/1.55 'tc_nat', 'tc_nat' ) ), 'c_IntDef_Ointrel', 'tc_prod'( 'tc_prod'(
% 1.18/1.55 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ), =( 'c_plus'(
% 1.18/1.55 X, T, 'tc_nat' ), 'c_plus'( Z, Y, 'tc_nat' ) ) ],
% 1.18/1.55 [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_plus'( Z, T, 'tc_nat' ) ) ),
% 1.18/1.55 'c_in'( 'c_Pair'( 'c_Pair'( X, T, 'tc_nat', 'tc_nat' ), 'c_Pair'( Z, Y,
% 1.18/1.55 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ), 'tc_prod'(
% 1.18/1.55 'tc_nat', 'tc_nat' ) ), 'c_IntDef_Ointrel', 'tc_prod'( 'tc_prod'(
% 1.18/1.55 'tc_nat', 'tc_nat' ), 'tc_prod'( 'tc_nat', 'tc_nat' ) ) ) ],
% 1.18/1.55 [ =( 'c_IntDef_Onat'( 'c_IntDef_Oint'( X ) ), X ) ],
% 1.18/1.55 [ ~( 'c_lessequals'( X, 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_IntDef_Onat'(
% 1.18/1.55 X ), 'c_0' ) ],
% 1.18/1.55 [ =( 'c_IntDef_Onat'( 'c_0' ), 'c_0' ) ],
% 1.18/1.55 [ =( 'c_IntDef_Onat'( 'c_uminus'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint'
% 1.18/1.55 ) ), 'c_0' ) ],
% 1.18/1.55 [ 'c_IntDef_Oneg'( 'c_uminus'( 'c_IntDef_Oint'( 'c_Suc'( X ) ),
% 1.18/1.55 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.18/1.55 [ ~( =( 'c_uminus'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ),
% 1.18/1.55 'c_IntDef_Oint'( Y ) ) ), =( X, 'c_0' ) ],
% 1.18/1.55 [ ~( =( 'c_uminus'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ),
% 1.18/1.55 'c_IntDef_Oint'( Y ) ) ), =( Y, 'c_0' ) ],
% 1.18/1.55 [ =( 'c_uminus'( 'c_IntDef_Oint'( 'c_0' ), 'tc_IntDef_Oint' ),
% 1.18/1.55 'c_IntDef_Oint'( 'c_0' ) ) ],
% 1.18/1.55 [ ~( 'c_less'( 'c_IntDef_Oint'( X ), 'c_uminus'( 'c_IntDef_Oint'( Y ),
% 1.18/1.55 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ],
% 1.18/1.55 [ ~( 'c_IntDef_Oneg'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ) ) ],
% 1.18/1.55 [ ~( 'c_lessequals'( 'c_0', 'c_uminus'( 'c_IntDef_Oint'( 'c_Suc'( X ) )
% 1.18/1.55 , 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ],
% 1.18/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_0',
% 1.18/1.55 'c_IntDef_Oof__int'( Y, X ) ) ), =( 'c_0', Y ) ],
% 1.18/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 'c_0',
% 1.18/1.55 'c_IntDef_Oof__int'( 'c_0', X ) ) ],
% 1.18/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.18/1.55 'c_0', 'c_IntDef_Oof__int'( Y, X ), X ) ), 'c_lessequals'( 'c_0', Y,
% 1.18/1.55 'tc_IntDef_Oint' ) ],
% 1.18/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.18/1.55 'c_0', Y, 'tc_IntDef_Oint' ) ), 'c_lessequals'( 'c_0',
% 1.18/1.55 'c_IntDef_Oof__int'( Y, X ), X ) ],
% 1.18/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0'
% 1.18/1.55 , 'c_IntDef_Oof__int'( Y, X ), X ) ), 'c_less'( 'c_0', Y,
% 1.18/1.55 'tc_IntDef_Oint' ) ],
% 1.18/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0'
% 1.18/1.55 , Y, 'tc_IntDef_Oint' ) ), 'c_less'( 'c_0', 'c_IntDef_Oof__int'( Y, X ),
% 1.18/1.55 X ) ],
% 1.18/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.18/1.55 'c_IntDef_Oof__int'( 'c_1', X ), 'c_1' ) ],
% 1.18/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.18/1.55 'c_IntDef_Oof__int'( 'c_plus'( Y, Z, 'tc_IntDef_Oint' ), X ), 'c_plus'(
% 1.18/1.55 'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ), X ) ) ],
% 1.18/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.18/1.55 'c_IntDef_Oof__int'( 'c_minus'( Y, Z, 'tc_IntDef_Oint' ), X ), 'c_minus'(
% 1.18/1.55 'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ), X ) ) ],
% 1.18/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.18/1.55 'c_IntDef_Oof__int'( Y, X ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.18/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.18/1.55 'c_IntDef_Oof__int'( 'c_0', X ), 'c_0' ) ],
% 1.18/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.18/1.55 'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ) ) ), =( Y, Z ) ]
% 1.18/1.55 ,
% 1.18/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.18/1.55 'c_IntDef_Oof__int'( 'c_IntDef_Oint'( Y ), X ), 'c_NatArith_Oof__nat'( Y
% 1.18/1.55 , X ) ) ],
% 1.18/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.18/1.55 'c_IntDef_Oof__int'( Y, X ), 'c_0', X ) ), 'c_lessequals'( Y, 'c_0',
% 1.18/1.55 'tc_IntDef_Oint' ) ],
% 1.18/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.18/1.55 Y, 'c_0', 'tc_IntDef_Oint' ) ), 'c_lessequals'( 'c_IntDef_Oof__int'( Y, X
% 1.18/1.55 ), 'c_0', X ) ],
% 1.18/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.18/1.55 'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ), X ) ),
% 1.18/1.55 'c_lessequals'( Y, Z, 'tc_IntDef_Oint' ) ],
% 1.18/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.18/1.55 Y, Z, 'tc_IntDef_Oint' ) ), 'c_lessequals'( 'c_IntDef_Oof__int'( Y, X ),
% 1.18/1.55 'c_IntDef_Oof__int'( Z, X ), X ) ],
% 1.18/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'(
% 1.18/1.55 'c_IntDef_Oof__int'( Y, X ), 'c_0', X ) ), 'c_less'( Y, 'c_0',
% 1.18/1.55 'tc_IntDef_Oint' ) ],
% 1.18/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( Y,
% 1.18/1.55 'c_0', 'tc_IntDef_Oint' ) ), 'c_less'( 'c_IntDef_Oof__int'( Y, X ), 'c_0'
% 1.18/1.55 , X ) ],
% 1.18/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'(
% 1.18/1.55 'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ), X ) ), 'c_less'(
% 1.18/1.55 Y, Z, 'tc_IntDef_Oint' ) ],
% 1.18/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( Y, Z,
% 1.18/1.55 'tc_IntDef_Oint' ) ), 'c_less'( 'c_IntDef_Oof__int'( Y, X ),
% 1.18/1.55 'c_IntDef_Oof__int'( Z, X ), X ) ],
% 1.18/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.18/1.55 'c_IntDef_Oof__int'( 'c_uminus'( Y, 'tc_IntDef_Oint' ), X ), 'c_uminus'(
% 1.18/1.55 'c_IntDef_Oof__int'( Y, X ), X ) ) ],
% 1.18/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.18/1.55 'c_IntDef_Oof__int'( 'c_times'( Y, Z, 'tc_IntDef_Oint' ), X ), 'c_times'(
% 1.18/1.55 'c_IntDef_Oof__int'( Y, X ), 'c_IntDef_Oof__int'( Z, X ), X ) ) ],
% 1.18/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.18/1.55 'c_IntDef_Oof__int'( 'c_NatArith_Oof__nat'( Y, 'tc_IntDef_Oint' ), X ),
% 1.18/1.55 'c_NatArith_Oof__nat'( Y, X ) ) ],
% 1.18/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), 'c_in'(
% 1.18/1.55 'c_NatArith_Oof__nat'( Y, X ), 'c_IntDef_ONats', X ) ],
% 1.18/1.55 [ ~( 'c_less'( 'c_0', 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ) ),
% 1.18/1.55 'c_less'( 'c_0', X, 'tc_nat' ) ],
% 1.18/1.55 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_IntDef_Oint'(
% 1.18/1.55 X ), 'tc_IntDef_Oint' ) ],
% 1.18/1.55 [ ~( 'c_less'( 'c_0', 'c_IntDef_Onat'( X ), 'tc_nat' ) ), 'c_less'(
% 1.18/1.55 'c_0', X, 'tc_IntDef_Oint' ) ],
% 1.18/1.55 [ ~( 'c_less'( 'c_0', X, 'tc_IntDef_Oint' ) ), 'c_less'( 'c_0',
% 1.18/1.55 'c_IntDef_Onat'( X ), 'tc_nat' ) ],
% 1.18/1.55 [ 'c_lessequals'( 'c_0', 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ) ],
% 1.18/1.55 [ ~( 'c_lessequals'( 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ),
% 1.18/1.55 'tc_IntDef_Oint' ) ), 'c_lessequals'( X, Y, 'tc_nat' ) ],
% 1.18/1.55 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 'c_IntDef_Oint'(
% 1.18/1.55 X ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ],
% 1.18/1.55 [ ~( 'c_less'( 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ),
% 1.18/1.55 'tc_IntDef_Oint' ) ), 'c_less'( X, Y, 'tc_nat' ) ],
% 1.18/1.55 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 'c_IntDef_Oint'( X ),
% 1.18/1.55 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ],
% 1.18/1.55 [ ~( 'c_less'( 'c_IntDef_Onat'( X ), 'c_IntDef_Onat'( Y ), 'tc_nat' ) )
% 1.18/1.55 , 'c_less'( 'c_0', Y, 'tc_IntDef_Oint' ) ],
% 1.18/1.55 [ ~( 'c_less'( 'c_IntDef_Onat'( X ), 'c_IntDef_Onat'( Y ), 'tc_nat' ) )
% 1.18/1.55 , 'c_less'( X, Y, 'tc_IntDef_Oint' ) ],
% 1.18/1.55 [ ~( 'c_less'( X, Y, 'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_0', Y,
% 1.18/1.55 'tc_IntDef_Oint' ) ), 'c_less'( 'c_IntDef_Onat'( X ), 'c_IntDef_Onat'( Y
% 1.18/1.55 ), 'tc_nat' ) ],
% 1.18/1.55 [ =( 'c_Divides_Oop_Amod'( X, 'c_0', 'tc_IntDef_Oint' ), X ) ],
% 1.18/1.55 [ ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_0',
% 1.18/1.55 'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_Numeral_Onumber__of'( Y,
% 1.18/1.55 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_div'(
% 1.18/1.55 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.18/1.55 Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_fst'( 'c_IntDiv_OnegateSnd'(
% 1.18/1.55 'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_uminus'( 'c_Numeral_Onumber__of'( X,
% 1.18/1.55 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_uminus'(
% 1.18/1.55 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.18/1.55 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint',
% 1.18/1.55 'tc_IntDef_Oint' ) ) ],
% 1.18/1.55 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.18/1.55 'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Y,
% 1.18/1.55 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_div'(
% 1.18/1.55 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.18/1.55 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_fst'( 'c_IntDiv_OnegDivAlg'(
% 1.18/1.55 'c_Pair'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.18/1.55 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.18/1.55 'tc_IntDef_Oint' ) ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.18/1.55 [ ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_0',
% 1.18/1.55 'tc_IntDef_Oint' ) ), =( 'c_div'( 'c_1', 'c_Numeral_Onumber__of'( X,
% 1.18/1.55 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_fst'( 'c_IntDiv_OnegateSnd'(
% 1.18/1.55 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_uminus'( 'c_1', 'tc_IntDef_Oint' ),
% 1.18/1.55 'c_uminus'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.18/1.55 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ),
% 1.18/1.55 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.18/1.55 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.18/1.55 'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Y,
% 1.18/1.55 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_div'(
% 1.18/1.55 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.18/1.55 Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_fst'( 'c_IntDiv_OnegateSnd'(
% 1.18/1.55 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_uminus'( 'c_Numeral_Onumber__of'( X,
% 1.18/1.55 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_uminus'(
% 1.18/1.55 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.18/1.55 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint',
% 1.18/1.55 'tc_IntDef_Oint' ) ) ],
% 1.18/1.55 [ ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.18/1.55 ), 'tc_IntDef_Oint' ) ), =( 'c_div'( 'c_1', 'c_Numeral_Onumber__of'( X,
% 1.18/1.55 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_fst'( 'c_IntDiv_OposDivAlg'(
% 1.18/1.55 'c_Pair'( 'c_1', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.18/1.55 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'tc_IntDef_Oint',
% 1.18/1.55 'tc_IntDef_Oint' ) ) ],
% 1.18/1.55 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.18/1.55 'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'(
% 1.18/1.55 Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_div'(
% 1.18/1.55 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.18/1.55 Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_fst'( 'c_IntDiv_OposDivAlg'(
% 1.18/1.55 'c_Pair'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.18/1.55 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.18/1.55 'tc_IntDef_Oint' ) ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.18/1.55 [ ~( 'c_Divides_Oop_Advd'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ),
% 1.18/1.55 'tc_IntDef_Oint' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ]
% 1.18/1.55 ,
% 1.18/1.55 [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ),
% 1.18/1.55 'c_Divides_Oop_Advd'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ),
% 1.18/1.55 'tc_IntDef_Oint' ) ],
% 1.18/1.55 [ =( 'c_div'( 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' ), Y,
% 1.18/1.55 'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.18/1.55 [ =( 'c_Divides_Oop_Amod'( 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint'
% 1.18/1.55 ), Y, 'tc_IntDef_Oint' ), 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' )
% 1.18/1.55 ) ],
% 1.18/1.55 [ ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_0',
% 1.18/1.55 'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_Numeral_Onumber__of'( Y,
% 1.18/1.55 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'(
% 1.18/1.55 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.18/1.55 Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_snd'( 'c_IntDiv_OnegateSnd'(
% 1.18/1.55 'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_uminus'( 'c_Numeral_Onumber__of'( X,
% 1.18/1.55 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_uminus'(
% 1.18/1.55 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.18/1.55 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint',
% 1.18/1.55 'tc_IntDef_Oint' ) ) ],
% 1.18/1.55 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.18/1.55 'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Y,
% 1.18/1.55 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'(
% 1.18/1.55 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.18/1.55 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_snd'( 'c_IntDiv_OnegDivAlg'(
% 1.18/1.55 'c_Pair'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.18/1.55 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.18/1.55 'tc_IntDef_Oint' ) ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.18/1.55 [ ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_0',
% 1.18/1.55 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 'c_1',
% 1.18/1.55 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.18/1.55 'c_snd'( 'c_IntDiv_OnegateSnd'( 'c_IntDiv_OnegDivAlg'( 'c_Pair'(
% 1.18/1.55 'c_uminus'( 'c_1', 'tc_IntDef_Oint' ), 'c_uminus'(
% 1.18/1.55 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.18/1.55 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint',
% 1.18/1.55 'tc_IntDef_Oint' ) ) ],
% 1.18/1.55 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.18/1.55 'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Y,
% 1.18/1.55 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'(
% 1.18/1.55 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.18/1.55 Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_snd'( 'c_IntDiv_OnegateSnd'(
% 1.18/1.55 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_uminus'( 'c_Numeral_Onumber__of'( X,
% 1.18/1.55 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_uminus'(
% 1.18/1.55 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.18/1.55 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ), 'tc_IntDef_Oint',
% 1.18/1.55 'tc_IntDef_Oint' ) ) ],
% 1.18/1.55 [ ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.18/1.55 ), 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 'c_1',
% 1.18/1.55 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.18/1.55 'c_snd'( 'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_1', 'c_Numeral_Onumber__of'(
% 1.18/1.55 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ),
% 1.18/1.55 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.18/1.55 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.18/1.55 'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'(
% 1.18/1.55 Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'(
% 1.18/1.55 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.18/1.55 Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_snd'( 'c_IntDiv_OposDivAlg'(
% 1.18/1.55 'c_Pair'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.18/1.55 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.18/1.55 'tc_IntDef_Oint' ) ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.18/1.55 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.18/1.55 'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_0', 'c_plus'( 'c_1',
% 1.18/1.55 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.18/1.55 'tc_IntDef_Oint' ) ), =( 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_1',
% 1.18/1.55 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.18/1.55 'tc_IntDef_Oint' ) ), 'c_Pair'( 'c_Numeral_Onumber__of'( 'c_Numeral_OMin'
% 1.18/1.55 , 'tc_IntDef_Oint' ), 'c_plus'( 'c_1', 'c_Numeral_Onumber__of'( X,
% 1.18/1.55 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.18/1.55 'tc_IntDef_Oint' ) ) ],
% 1.18/1.55 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.18/1.55 'tc_IntDef_Oint' ) ), 'c_lessequals'( 'c_0', 'c_plus'( 'c_1',
% 1.18/1.55 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.18/1.55 'tc_IntDef_Oint' ), =( 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_1',
% 1.18/1.55 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.18/1.55 'tc_IntDef_Oint' ) ), 'c_IntDiv_Oadjust'( 'c_Numeral_Onumber__of'( X,
% 1.18/1.55 'tc_IntDef_Oint' ), 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_1', 'c_times'(
% 1.18/1.55 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.18/1.55 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.18/1.55 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.18/1.55 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ) ) ],
% 1.18/1.55 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.18/1.55 'tc_IntDef_Oint' ) ), ~( 'c_lessequals'( 'c_0', 'c_plus'(
% 1.18/1.55 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.18/1.55 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =(
% 1.18/1.55 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_Numeral_Onumber__of'( Y,
% 1.18/1.55 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.18/1.55 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_Pair'( 'c_Numeral_Onumber__of'(
% 1.18/1.55 'c_Numeral_OMin', 'tc_IntDef_Oint' ), 'c_plus'( 'c_Numeral_Onumber__of'(
% 1.18/1.55 Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.18/1.55 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.18/1.55 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.18/1.55 'tc_IntDef_Oint' ) ), 'c_lessequals'( 'c_0', 'c_plus'(
% 1.18/1.55 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.18/1.55 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =(
% 1.18/1.55 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_Numeral_Onumber__of'( Y,
% 1.18/1.55 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.18/1.55 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_IntDiv_Oadjust'(
% 1.18/1.55 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_IntDiv_OnegDivAlg'(
% 1.18/1.55 'c_Pair'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_times'(
% 1.18/1.55 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.18/1.55 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.18/1.55 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.18/1.55 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ) ) ],
% 1.18/1.55 [ =( 'c_IntDiv_OnegDivAlg'( 'c_Pair'( 'c_Numeral_Onumber__of'(
% 1.18/1.55 'c_Numeral_OMin', 'tc_IntDef_Oint' ), X, 'tc_IntDef_Oint',
% 1.18/1.55 'tc_IntDef_Oint' ) ), 'c_Pair'( 'c_Numeral_Onumber__of'( 'c_Numeral_OMin'
% 1.18/1.55 , 'tc_IntDef_Oint' ), 'c_minus'( X, 'c_1', 'tc_IntDef_Oint' ),
% 1.18/1.55 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.18/1.55 [ ~( 'c_less'( X, 'c_0', 'tc_IntDef_Oint' ) ), 'c_less'( X,
% 1.18/1.55 'c_Divides_Oop_Amod'( Y, X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.18/1.55 [ ~( 'c_less'( X, 'c_0', 'tc_IntDef_Oint' ) ), 'c_lessequals'(
% 1.18/1.55 'c_Divides_Oop_Amod'( Y, X, 'tc_IntDef_Oint' ), 'c_0', 'tc_IntDef_Oint' )
% 1.18/1.55 ],
% 1.18/1.55 [ =( 'c_IntDiv_OnegateSnd'( 'c_Pair'( X, Y, 'tc_IntDef_Oint',
% 1.18/1.55 'tc_IntDef_Oint' ) ), 'c_Pair'( X, 'c_uminus'( Y, 'tc_IntDef_Oint' ),
% 1.18/1.55 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.18/1.55 [ =( 'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_0', X, 'tc_IntDef_Oint',
% 1.18/1.55 'tc_IntDef_Oint' ) ), 'c_Pair'( 'c_0', 'c_0', 'tc_IntDef_Oint',
% 1.18/1.55 'tc_IntDef_Oint' ) ) ],
% 1.18/1.55 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.18/1.55 'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_1', 'c_Numeral_Onumber__of'( X,
% 1.18/1.55 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_IntDiv_OposDivAlg'(
% 1.18/1.55 'c_Pair'( 'c_1', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.18/1.55 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_Pair'( 'c_0', 'c_1',
% 1.18/1.55 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ) ],
% 1.18/1.55 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.18/1.55 'tc_IntDef_Oint' ) ), 'c_less'( 'c_1', 'c_Numeral_Onumber__of'( X,
% 1.18/1.55 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_IntDiv_OposDivAlg'(
% 1.18/1.55 'c_Pair'( 'c_1', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.18/1.55 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_IntDiv_Oadjust'(
% 1.18/1.55 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'c_IntDiv_OposDivAlg'(
% 1.18/1.55 'c_Pair'( 'c_1', 'c_times'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.18/1.55 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.18/1.55 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X,
% 1.18/1.55 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.18/1.55 'tc_IntDef_Oint' ) ) ) ) ],
% 1.18/1.55 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.18/1.55 'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Y,
% 1.18/1.55 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.18/1.55 'tc_IntDef_Oint' ) ), =( 'c_IntDiv_OposDivAlg'( 'c_Pair'(
% 1.18/1.55 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.18/1.55 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ), 'c_Pair'(
% 1.18/1.55 'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.18/1.55 'tc_IntDef_Oint' ) ) ],
% 1.18/1.55 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.18/1.55 'tc_IntDef_Oint' ) ), 'c_less'( 'c_Numeral_Onumber__of'( Y,
% 1.18/1.55 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.18/1.55 'tc_IntDef_Oint' ), =( 'c_IntDiv_OposDivAlg'( 'c_Pair'(
% 1.18/1.55 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.18/1.55 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint', 'tc_IntDef_Oint' ) ),
% 1.18/1.55 'c_IntDiv_Oadjust'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.18/1.55 'c_IntDiv_OposDivAlg'( 'c_Pair'( 'c_Numeral_Onumber__of'( Y,
% 1.18/1.55 'tc_IntDef_Oint' ), 'c_times'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.18/1.55 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.18/1.55 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( X,
% 1.18/1.55 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint',
% 1.18/1.55 'tc_IntDef_Oint' ) ) ) ) ],
% 1.18/1.55 [ ~( 'c_less'( 'c_0', X, 'tc_IntDef_Oint' ) ), 'c_less'(
% 1.18/1.55 'c_Divides_Oop_Amod'( Y, X, 'tc_IntDef_Oint' ), X, 'tc_IntDef_Oint' ) ]
% 1.18/1.55 ,
% 1.18/1.55 [ ~( 'c_less'( 'c_0', X, 'tc_IntDef_Oint' ) ), 'c_lessequals'( 'c_0',
% 1.18/1.55 'c_Divides_Oop_Amod'( Y, X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.18/1.55 [ =( 'c_Nat_Opower'( X, 'c_0', 'tc_IntDef_Oint' ), 'c_1' ) ],
% 1.18/1.55 [ =( 'c_Nat_Opower'( X, 'c_Suc'( Y ), 'tc_IntDef_Oint' ), 'c_times'( X,
% 1.18/1.55 'c_Nat_Opower'( X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ],
% 1.18/1.55 [ =( 'c_div'( X, 'c_1', 'tc_IntDef_Oint' ), X ) ],
% 1.18/1.55 [ =( 'c_div'( X, 'c_Numeral_Onumber__of'( 'c_Numeral_OMin',
% 1.18/1.55 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_uminus'( X, 'tc_IntDef_Oint' )
% 1.18/1.55 ) ],
% 1.18/1.55 [ =( 'c_div'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( X,
% 1.18/1.55 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.18/1.55 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ),
% 1.18/1.55 'tc_IntDef_Oint' ), 'c_div'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.18/1.55 ), 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) )
% 1.18/1.55 ],
% 1.18/1.55 [ ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.18/1.55 ), 'tc_IntDef_Oint' ) ), =( 'c_div'( 'c_Numeral_Onumber__of'(
% 1.18/1.55 'c_Numeral_OBit'( Y, Z ), 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.18/1.55 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ),
% 1.18/1.55 'tc_IntDef_Oint' ), 'c_div'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint'
% 1.18/1.55 ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) )
% 1.18/1.55 ],
% 1.18/1.55 [ 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.18/1.55 , 'tc_IntDef_Oint' ), =( Y, 'c_Numeral_Obit_OB0' ), =( 'c_div'(
% 1.18/1.55 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Z, Y ), 'tc_IntDef_Oint' ),
% 1.18/1.55 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' ),
% 1.18/1.55 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_div'( 'c_plus'(
% 1.18/1.55 'c_Numeral_Onumber__of'( Z, 'tc_IntDef_Oint' ), 'c_1', 'tc_IntDef_Oint' )
% 1.18/1.55 , 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ]
% 1.18/1.55 ,
% 1.18/1.55 [ =( X, 'c_0' ), =( 'c_div'( X, X, 'tc_IntDef_Oint' ), 'c_1' ) ],
% 1.18/1.55 [ =( X, 'c_0' ), =( 'c_div'( 'c_plus'( X, Y, 'tc_IntDef_Oint' ), X,
% 1.18/1.55 'tc_IntDef_Oint' ), 'c_plus'( 'c_div'( Y, X, 'tc_IntDef_Oint' ), 'c_1',
% 1.18/1.55 'tc_IntDef_Oint' ) ) ],
% 1.18/1.55 [ =( X, 'c_0' ), =( 'c_div'( 'c_plus'( Y, X, 'tc_IntDef_Oint' ), X,
% 1.18/1.55 'tc_IntDef_Oint' ), 'c_plus'( 'c_div'( Y, X, 'tc_IntDef_Oint' ), 'c_1',
% 1.18/1.55 'tc_IntDef_Oint' ) ) ],
% 1.18/1.55 [ =( 'c_div'( 'c_0', X, 'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.18/1.55 [ =( 'c_div'( 'c_uminus'( X, 'tc_IntDef_Oint' ), 'c_uminus'( Y,
% 1.18/1.55 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_div'( X, Y, 'tc_IntDef_Oint' )
% 1.18/1.55 ) ],
% 1.18/1.55 [ =( X, 'c_0' ), =( 'c_div'( 'c_times'( Y, X, 'tc_IntDef_Oint' ), X,
% 1.18/1.55 'tc_IntDef_Oint' ), Y ) ],
% 1.18/1.55 [ =( X, 'c_0' ), =( 'c_div'( 'c_times'( X, Y, 'tc_IntDef_Oint' ), X,
% 1.18/1.55 'tc_IntDef_Oint' ), Y ) ],
% 1.18/1.55 [ ~( 'c_Divides_Oop_Advd'( 'c_0', X, 'tc_IntDef_Oint' ) ), =( X, 'c_0' )
% 1.18/1.55 ],
% 1.18/1.55 [ 'c_Divides_Oop_Advd'( 'c_0', 'c_0', 'tc_IntDef_Oint' ) ],
% 1.18/1.55 [ ~( 'c_Divides_Oop_Advd'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.18/1.55 ), 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) )
% 1.18/1.55 , =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' )
% 1.18/1.55 , 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.18/1.55 'c_0' ) ],
% 1.18/1.55 [ ~( =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X,
% 1.18/1.55 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.18/1.55 'tc_IntDef_Oint' ), 'c_0' ) ), 'c_Divides_Oop_Advd'(
% 1.18/1.55 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.18/1.55 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.18/1.55 [ 'c_Divides_Oop_Advd'( X, X, 'tc_IntDef_Oint' ) ],
% 1.18/1.55 [ 'c_lessequals'( 'c_0', 'c_Nat_Opower'( 'c_HOL_Oabs'( X,
% 1.18/1.55 'tc_IntDef_Oint' ), Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.18/1.55 [ ~( 'c_less'( 'c_0', 'c_Nat_Opower'( 'c_HOL_Oabs'( 'c_0',
% 1.18/1.55 'tc_IntDef_Oint' ), X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( X,
% 1.18/1.55 'c_0' ) ],
% 1.18/1.55 [ 'c_less'( 'c_0', 'c_Nat_Opower'( 'c_HOL_Oabs'( X, 'tc_IntDef_Oint' ),
% 1.18/1.55 Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( X, 'c_0' ) ],
% 1.18/1.55 [ 'c_less'( 'c_0', 'c_Nat_Opower'( 'c_HOL_Oabs'( X, 'tc_IntDef_Oint' ),
% 1.18/1.55 'c_0', 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.18/1.55 [ ~( 'c_Divides_Oop_Advd'( 'c_uminus'( X, 'tc_IntDef_Oint' ), Y,
% 1.18/1.55 'tc_IntDef_Oint' ) ), 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ]
% 1.18/1.55 ,
% 1.18/1.55 [ ~( 'c_Divides_Oop_Advd'( X, Y, 'tc_IntDef_Oint' ) ),
% 1.18/1.55 'c_Divides_Oop_Advd'( 'c_uminus'( X, 'tc_IntDef_Oint' ), Y,
% 1.18/1.55 'tc_IntDef_Oint' ) ],
% 1.18/1.55 [ =( 'c_Divides_Oop_Amod'( X, 'c_1', 'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.18/1.55 [ =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'( 'c_Numeral_OMin'
% 1.18/1.55 , 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.18/1.55 [ =( 'c_Divides_Oop_Amod'( X, X, 'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.18/1.55 [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, Y, 'tc_IntDef_Oint' ), X,
% 1.18/1.55 'tc_IntDef_Oint' ), 'c_Divides_Oop_Amod'( Y, X, 'tc_IntDef_Oint' ) ) ]
% 1.18/1.55 ,
% 1.18/1.55 [ =( 'c_Divides_Oop_Amod'( 'c_plus'( X, Y, 'tc_IntDef_Oint' ), Y,
% 1.18/1.55 'tc_IntDef_Oint' ), 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' ) ) ]
% 1.18/1.55 ,
% 1.18/1.55 [ =( 'c_Divides_Oop_Amod'( 'c_0', X, 'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.18/1.55 [ =( 'c_Divides_Oop_Amod'( 'c_uminus'( X, 'tc_IntDef_Oint' ), 'c_uminus'(
% 1.18/1.55 Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_uminus'(
% 1.18/1.55 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ]
% 1.18/1.55 ,
% 1.18/1.55 [ =( 'c_Divides_Oop_Amod'( 'c_times'( X, Y, 'tc_IntDef_Oint' ), Y,
% 1.18/1.55 'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.18/1.55 [ =( 'c_Divides_Oop_Amod'( 'c_times'( X, Y, 'tc_IntDef_Oint' ), X,
% 1.18/1.55 'tc_IntDef_Oint' ), 'c_0' ) ],
% 1.18/1.55 [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ), =( 'c_LOrder_Ojoin'( Y, Y
% 1.18/1.55 , X ), Y ) ],
% 1.18/1.55 [ ~( 'class_LOrder_Omeet__semilorder'( X ) ), =( 'c_LOrder_Omeet'( Y, Y
% 1.18/1.55 , X ), Y ) ],
% 1.18/1.55 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.18/1.55 'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.18/1.55 ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.18/1.55 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( X, T, Z, Z ), W, 'tc_prod'(
% 1.18/1.55 Z, Z ) ), =( X, T ) ],
% 1.18/1.55 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.18/1.55 'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.18/1.55 ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.18/1.55 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( X, T, Z, Z ), W, 'tc_prod'(
% 1.18/1.55 Z, Z ) ), 'c_in'( 'c_Pair'( Y, U, 'tc_List_Olist'( Z ), 'tc_List_Olist'(
% 1.18/1.55 Z ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.18/1.55 'tc_List_Olist'( Z ) ) ) ],
% 1.18/1.55 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.18/1.55 'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.18/1.55 ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.18/1.55 'tc_List_Olist'( Z ) ) ) ), =( X, T ), =( 'c_Nat_Osize'( Y,
% 1.18/1.55 'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( U, 'tc_List_Olist'( Z ) ) ) ],
% 1.18/1.55 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.18/1.55 'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.18/1.55 ) ), 'c_List_Olex'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.18/1.55 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( Y, U, 'tc_List_Olist'( Z )
% 1.18/1.55 , 'tc_List_Olist'( Z ) ), 'c_List_Olex'( W, Z ), 'tc_prod'(
% 1.18/1.55 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ), =( 'c_Nat_Osize'( Y,
% 1.18/1.55 'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( U, 'tc_List_Olist'( Z ) ) ) ],
% 1.18/1.55 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( =(
% 1.18/1.55 'c_Nat_Osize'( U, 'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( W,
% 1.18/1.55 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, U
% 1.18/1.55 , Z ), 'c_List_Olist_OCons'( Y, W, Z ), 'tc_List_Olist'( Z ),
% 1.18/1.55 'tc_List_Olist'( Z ) ), 'c_List_Olex'( T, Z ), 'tc_prod'( 'tc_List_Olist'(
% 1.18/1.55 Z ), 'tc_List_Olist'( Z ) ) ) ],
% 1.18/1.55 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z )
% 1.18/1.55 ), 'c_List_Olex'( T, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.18/1.55 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( U, X
% 1.18/1.55 , Z ), 'c_List_Olist_OCons'( U, Y, Z ), 'tc_List_Olist'( Z ),
% 1.18/1.55 'tc_List_Olist'( Z ) ), 'c_List_Olex'( T, Z ), 'tc_prod'( 'tc_List_Olist'(
% 1.18/1.55 Z ), 'tc_List_Olist'( Z ) ) ) ],
% 1.18/1.55 [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil', 'tc_List_Olist'( Y ),
% 1.18/1.55 'tc_List_Olist'( Y ) ), 'c_List_Olex'( Z, Y ), 'tc_prod'( 'tc_List_Olist'(
% 1.18/1.55 Y ), 'tc_List_Olist'( Y ) ) ) ) ],
% 1.18/1.55 [ ~( 'c_in'( X, 'c_List_Oset'( Y, 'tc_List_Olist'( Z ) ),
% 1.18/1.55 'tc_List_Olist'( Z ) ) ), ~( =( 'c_List_Olist_ONil', 'c_List_Oconcat'( Y
% 1.18/1.55 , Z ) ) ), =( X, 'c_List_Olist_ONil' ) ],
% 1.18/1.55 [ 'c_in'( 'c_Main_ONil__eq__concat__conv__1'( X, Y ), 'c_List_Oset'( X,
% 1.18/1.55 'tc_List_Olist'( Y ) ), 'tc_List_Olist'( Y ) ), =( 'c_List_Olist_ONil',
% 1.18/1.55 'c_List_Oconcat'( X, Y ) ) ],
% 1.18/1.55 [ ~( =( 'c_Main_ONil__eq__concat__conv__1'( X, Y ), 'c_List_Olist_ONil'
% 1.18/1.55 ) ), =( 'c_List_Olist_ONil', 'c_List_Oconcat'( X, Y ) ) ],
% 1.18/1.55 [ ~( =( 'c_List_Olist_ONil', 'c_append'( X, Y, Z ) ) ), =( X,
% 1.18/1.55 'c_List_Olist_ONil' ) ],
% 1.18/1.55 [ ~( =( 'c_List_Olist_ONil', 'c_append'( X, Y, Z ) ) ), =( Y,
% 1.18/1.55 'c_List_Olist_ONil' ) ],
% 1.18/1.55 [ =( 'c_List_Olist_ONil', 'c_append'( 'c_List_Olist_ONil',
% 1.18/1.55 'c_List_Olist_ONil', X ) ) ],
% 1.18/1.55 [ ~( =( 'c_List_Olist_ONil', 'c_List_Orev'( X, Y ) ) ), =( X,
% 1.18/1.55 'c_List_Olist_ONil' ) ],
% 1.18/1.55 [ =( 'c_List_Olist_ONil', 'c_List_Orev'( 'c_List_Olist_ONil', X ) ) ]
% 1.18/1.55 ,
% 1.18/1.55 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X, 'tc_List_Olist'( Y ),
% 1.18/1.55 'tc_List_Olist'( Y ) ), 'c_List_Olex'( Z, Y ), 'tc_prod'( 'tc_List_Olist'(
% 1.18/1.55 Y ), 'tc_List_Olist'( Y ) ) ) ) ],
% 1.18/1.55 [ ~( =( 'c_append'( X, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z )
% 1.18/1.55 , Z ), 'c_append'( T, 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil', Z ),
% 1.18/1.55 Z ) ) ), =( X, T ) ],
% 1.18/1.55 [ ~( =( 'c_append'( X, 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z )
% 1.18/1.55 , Z ), 'c_append'( T, 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil', Z ),
% 1.18/1.55 Z ) ) ), =( Y, U ) ],
% 1.18/1.55 [ =( 'c_append'( 'c_append'( X, Y, Z ), T, Z ), 'c_append'( X,
% 1.18/1.55 'c_append'( Y, T, Z ), Z ) ) ],
% 1.18/1.55 [ =( X, 'c_List_Olist_ONil' ), =( 'c_append'( 'c_List_Obutlast'( X, Y )
% 1.18/1.55 , 'c_List_Olist_OCons'( 'c_List_Olast'( X, Y ), 'c_List_Olist_ONil', Y )
% 1.18/1.55 , Y ), X ) ],
% 1.18/1.55 [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( Z,
% 1.18/1.55 'tc_List_Olist'( Y ) ) ) ), ~( =( 'c_append'( X, T, Y ), 'c_append'( Z, U
% 1.18/1.55 , Y ) ) ), =( X, Z ) ],
% 1.18/1.55 [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( Z,
% 1.18/1.55 'tc_List_Olist'( Y ) ) ) ), ~( =( 'c_append'( X, T, Y ), 'c_append'( Z, U
% 1.18/1.55 , Y ) ) ), =( T, U ) ],
% 1.18/1.55 [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( Z,
% 1.18/1.55 'tc_List_Olist'( Y ) ) ) ), ~( =( 'c_append'( T, X, Y ), 'c_append'( U, Z
% 1.18/1.55 , Y ) ) ), =( T, U ) ],
% 1.18/1.55 [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( Z,
% 1.18/1.55 'tc_List_Olist'( Y ) ) ) ), ~( =( 'c_append'( T, X, Y ), 'c_append'( U, Z
% 1.18/1.55 , Y ) ) ), =( X, Z ) ],
% 1.18/1.55 [ ~( 'c_in'( 'c_append'( X, Y, Z ), 'c_List_Olists'( T, Z ),
% 1.18/1.55 'tc_List_Olist'( Z ) ) ), 'c_in'( X, 'c_List_Olists'( T, Z ),
% 1.18/1.55 'tc_List_Olist'( Z ) ) ],
% 1.18/1.55 [ ~( 'c_in'( 'c_append'( X, Y, Z ), 'c_List_Olists'( T, Z ),
% 1.18/1.55 'tc_List_Olist'( Z ) ) ), 'c_in'( Y, 'c_List_Olists'( T, Z ),
% 1.18/1.55 'tc_List_Olist'( Z ) ) ],
% 1.18/1.55 [ ~( 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ), ~(
% 1.18/1.55 'c_in'( T, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ), 'c_in'(
% 1.18/1.55 'c_append'( T, X, Z ), 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ]
% 1.18/1.55 ,
% 1.18/1.55 [ ~( =( 'c_append'( X, Y, Z ), 'c_List_Olist_ONil' ) ), =( X,
% 1.18/1.55 'c_List_Olist_ONil' ) ],
% 1.18/1.55 [ ~( =( 'c_append'( X, Y, Z ), 'c_List_Olist_ONil' ) ), =( Y,
% 1.18/1.55 'c_List_Olist_ONil' ) ],
% 1.18/1.55 [ =( 'c_append'( 'c_List_Olist_ONil', 'c_List_Olist_ONil', X ),
% 1.18/1.55 'c_List_Olist_ONil' ) ],
% 1.18/1.55 [ ~( =( 'c_append'( X, Y, Z ), 'c_append'( T, Y, Z ) ) ), =( X, T ) ]
% 1.18/1.55 ,
% 1.18/1.55 [ ~( =( 'c_append'( X, Y, Z ), Y ) ), =( X, 'c_List_Olist_ONil' ) ],
% 1.18/1.55 [ =( 'c_append'( 'c_List_Olist_ONil', X, Y ), X ) ],
% 1.18/1.55 [ ~( =( 'c_append'( X, Y, Z ), X ) ), =( Y, 'c_List_Olist_ONil' ) ],
% 1.18/1.55 [ =( 'c_append'( X, 'c_List_Olist_ONil', Y ), X ) ],
% 1.18/1.55 [ =( 'c_append'( 'c_List_Otake'( X, Y, Z ), 'c_List_Odrop'( X, Y, Z ), Z
% 1.18/1.55 ), Y ) ],
% 1.18/1.55 [ =( 'c_List_Obutlast'( 'c_List_Olist_ONil', X ), 'c_List_Olist_ONil' )
% 1.18/1.55 ],
% 1.18/1.55 [ =( 'c_List_Obutlast'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y
% 1.18/1.55 ), Y ), 'c_List_Olist_ONil' ) ],
% 1.18/1.55 [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Obutlast'(
% 1.18/1.55 'c_List_Olist_OCons'( Y, X, Z ), Z ), 'c_List_Olist_OCons'( Y,
% 1.18/1.55 'c_List_Obutlast'( X, Z ), Z ) ) ],
% 1.18/1.55 [ =( 'c_List_Obutlast'( 'c_append'( X, 'c_List_Olist_OCons'( Y,
% 1.18/1.55 'c_List_Olist_ONil', Z ), Z ), Z ), X ) ],
% 1.18/1.55 [ ~( =( 'c_List_Ochar_OChar'( X, Y ), 'c_List_Ochar_OChar'( Z, T ) ) ),
% 1.18/1.55 =( X, Z ) ],
% 1.18/1.55 [ ~( =( 'c_List_Ochar_OChar'( X, Y ), 'c_List_Ochar_OChar'( Z, T ) ) ),
% 1.18/1.55 =( Y, T ) ],
% 1.18/1.55 [ =( 'c_Nat_Osize'( 'c_List_Ochar_OChar'( X, Y ), 'tc_List_Ochar' ),
% 1.18/1.55 'c_0' ) ],
% 1.18/1.55 [ =( 'c_List_Oconcat'( 'c_List_Olist_ONil', X ), 'c_List_Olist_ONil' ) ]
% 1.18/1.55 ,
% 1.18/1.55 [ =( 'c_List_Oconcat'( 'c_List_Olist_OCons'( X, Y, 'tc_List_Olist'( Z )
% 1.18/1.55 ), Z ), 'c_append'( X, 'c_List_Oconcat'( Y, Z ), Z ) ) ],
% 1.18/1.55 [ =( 'c_List_Oconcat'( 'c_append'( X, Y, 'tc_List_Olist'( Z ) ), Z ),
% 1.18/1.55 'c_append'( 'c_List_Oconcat'( X, Z ), 'c_List_Oconcat'( Y, Z ), Z ) ) ]
% 1.18/1.55 ,
% 1.18/1.55 [ ~( 'c_in'( X, 'c_List_Oset'( Y, 'tc_List_Olist'( Z ) ),
% 1.18/1.55 'tc_List_Olist'( Z ) ) ), ~( =( 'c_List_Oconcat'( Y, Z ),
% 1.18/1.55 'c_List_Olist_ONil' ) ), =( X, 'c_List_Olist_ONil' ) ],
% 1.18/1.55 [ 'c_in'( 'c_Main_Oconcat__eq__Nil__conv__1'( X, Y ), 'c_List_Oset'( X,
% 1.18/1.55 'tc_List_Olist'( Y ) ), 'tc_List_Olist'( Y ) ), =( 'c_List_Oconcat'( X, Y
% 1.18/1.55 ), 'c_List_Olist_ONil' ) ],
% 1.18/1.55 [ ~( =( 'c_Main_Oconcat__eq__Nil__conv__1'( X, Y ), 'c_List_Olist_ONil'
% 1.18/1.55 ) ), =( 'c_List_Oconcat'( X, Y ), 'c_List_Olist_ONil' ) ],
% 1.18/1.55 [ ~( 'c_List_Odistinct'( 'c_List_Orotate1'( X, Y ), Y ) ),
% 1.18/1.55 'c_List_Odistinct'( X, Y ) ],
% 1.18/1.55 [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 'c_List_Orotate1'(
% 1.18/1.55 X, Y ), Y ) ],
% 1.18/1.55 [ 'c_List_Odistinct'( 'c_List_Olist_ONil', X ) ],
% 1.18/1.55 [ ~( 'c_List_Odistinct'( 'c_List_Olist_OCons'( X, Y, Z ), Z ) ), ~(
% 1.18/1.55 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ) ) ],
% 1.18/1.55 [ ~( 'c_List_Odistinct'( 'c_List_Olist_OCons'( X, Y, Z ), Z ) ),
% 1.18/1.55 'c_List_Odistinct'( Y, Z ) ],
% 1.18/1.55 [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'(
% 1.18/1.55 'c_List_Olist_OCons'( Z, X, Y ), Y ), 'c_in'( Z, 'c_List_Oset'( X, Y ), Y
% 1.18/1.55 ) ],
% 1.18/1.55 [ ~( 'c_List_Odistinct'( 'c_append'( X, Y, Z ), Z ) ),
% 1.18/1.55 'c_List_Odistinct'( X, Z ) ],
% 1.18/1.55 [ ~( 'c_List_Odistinct'( 'c_append'( X, Y, Z ), Z ) ),
% 1.18/1.55 'c_List_Odistinct'( Y, Z ) ],
% 1.18/1.55 [ ~( 'c_List_Odistinct'( 'c_append'( X, Y, Z ), Z ) ), =( 'c_inter'(
% 1.18/1.55 'c_List_Oset'( X, Z ), 'c_List_Oset'( Y, Z ), Z ), 'c_emptyset' ) ],
% 1.18/1.55 [ ~( 'c_List_Odistinct'( X, Y ) ), ~( 'c_List_Odistinct'( Z, Y ) ), ~(
% 1.18/1.55 =( 'c_inter'( 'c_List_Oset'( Z, Y ), 'c_List_Oset'( X, Y ), Y ),
% 1.18/1.55 'c_emptyset' ) ), 'c_List_Odistinct'( 'c_append'( Z, X, Y ), Y ) ],
% 1.18/1.55 [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 'c_List_Odrop'( Z
% 1.18/1.55 , X, Y ), Y ) ],
% 1.18/1.55 [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 'c_List_Oremove1'(
% 1.18/1.55 Z, X, Y ), Y ) ],
% 1.18/1.55 [ ~( 'c_List_Odistinct'( 'c_List_Orev'( X, Y ), Y ) ),
% 1.18/1.55 'c_List_Odistinct'( X, Y ) ],
% 1.18/1.55 [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 'c_List_Orev'( X
% 1.18/1.55 , Y ), Y ) ],
% 1.18/1.55 [ ~( 'c_List_Odistinct'( 'c_List_Orotate'( X, Y, Z ), Z ) ),
% 1.18/1.55 'c_List_Odistinct'( Y, Z ) ],
% 1.18/1.55 [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 'c_List_Orotate'(
% 1.18/1.55 Z, X, Y ), Y ) ],
% 1.18/1.55 [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 'c_List_Osublist'(
% 1.18/1.55 X, Z, Y ), Y ) ],
% 1.18/1.55 [ ~( 'c_List_Odistinct'( X, Y ) ), 'c_List_Odistinct'( 'c_List_Otake'( Z
% 1.18/1.55 , X, Y ), Y ) ],
% 1.18/1.55 [ 'c_List_Odistinct'( 'c_List_Oupt'( X, Y ), 'tc_nat' ) ],
% 1.18/1.55 [ =( 'c_List_Odrop'( X, 'c_List_Olist_ONil', Y ), 'c_List_Olist_ONil' )
% 1.18/1.55 ],
% 1.18/1.55 [ =( 'c_List_Odrop'( 'c_0', X, Y ), X ) ],
% 1.18/1.55 [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ), =(
% 1.18/1.55 'c_List_Odrop'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.18/1.55 'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_List_Olist_OCons'( Y, Z, T ) ) ]
% 1.18/1.55 ,
% 1.18/1.55 [ =( 'c_List_Odrop'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.18/1.55 'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_List_Odrop'( 'c_minus'(
% 1.18/1.55 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_1', 'tc_nat' ), Z, T ) ), =(
% 1.18/1.55 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ],
% 1.18/1.55 [ =( 'c_List_Odrop'( 'c_Suc'( X ), 'c_List_Olist_OCons'( Y, Z, T ), T )
% 1.18/1.55 , 'c_List_Odrop'( X, Z, T ) ) ],
% 1.18/1.55 [ =( 'c_List_Odrop'( X, 'c_append'( Y, Z, T ), T ), 'c_append'(
% 1.18/1.55 'c_List_Odrop'( X, Y, T ), 'c_List_Odrop'( 'c_minus'( X, 'c_Nat_Osize'( Y
% 1.18/1.55 , 'tc_List_Olist'( T ) ), 'tc_nat' ), Z, T ), T ) ) ],
% 1.18/1.55 [ =( 'c_List_Odrop'( X, 'c_List_Odrop'( Y, Z, T ), T ), 'c_List_Odrop'(
% 1.18/1.55 'c_plus'( X, Y, 'tc_nat' ), Z, T ) ) ],
% 1.18/1.55 [ ~( =( 'c_List_Odrop'( X, Y, Z ), 'c_List_Olist_ONil' ) ),
% 1.18/1.55 'c_lessequals'( 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), X, 'tc_nat' ) ]
% 1.18/1.55 ,
% 1.18/1.55 [ ~( 'c_lessequals'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), Z,
% 1.18/1.55 'tc_nat' ) ), =( 'c_List_Odrop'( Z, X, Y ), 'c_List_Olist_ONil' ) ],
% 1.18/1.55 [ =( 'c_List_Odrop'( X, 'c_List_Oreplicate'( Y, Z, T ), T ),
% 1.18/1.55 'c_List_Oreplicate'( 'c_minus'( Y, X, 'tc_nat' ), Z, T ) ) ],
% 1.18/1.55 [ =( 'c_List_Odrop'( X, 'c_List_Oupt'( Y, Z ), 'tc_nat' ), 'c_List_Oupt'(
% 1.18/1.55 'c_plus'( Y, X, 'tc_nat' ), Z ) ) ],
% 1.18/1.55 [ =( 'c_List_Ohd'( 'c_List_Olist_OCons'( X, Y, Z ), Z ), X ) ],
% 1.18/1.55 [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Olist_OCons'( 'c_List_Ohd'( X
% 1.18/1.55 , Y ), 'c_List_Otl'( X, Y ), Y ), X ) ],
% 1.18/1.55 [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Ohd'( 'c_append'( X, Y, Z ), Z
% 1.18/1.55 ), 'c_List_Ohd'( X, Z ) ) ],
% 1.18/1.55 [ 'c_in'( 'c_List_Ohd'( X, Y ), 'c_List_Oset'( X, Y ), Y ), =( X,
% 1.18/1.55 'c_List_Olist_ONil' ) ],
% 1.18/1.55 [ =( X, 'c_0' ), =( 'c_List_Ohd'( 'c_List_Oreplicate'( X, Y, Z ), Z ), Y
% 1.18/1.55 ) ],
% 1.18/1.55 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_List_Ohd'( 'c_List_Oupt'( X, Y
% 1.18/1.55 ), 'tc_nat' ), X ) ],
% 1.18/1.55 [ =( 'c_List_Oitrev'( X, Y, Z ), 'c_append'( 'c_List_Orev'( X, Z ), Y, Z
% 1.18/1.55 ) ) ],
% 1.18/1.55 [ =( 'c_List_Oitrev'( 'c_List_Olist_ONil', X, Y ), X ) ],
% 1.18/1.55 [ =( 'c_List_Oitrev'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ),
% 1.18/1.55 'c_List_Oitrev'( Y, 'c_List_Olist_OCons'( X, T, Z ), Z ) ) ],
% 1.18/1.55 [ =( 'c_List_Olast'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ),
% 1.18/1.55 Y ), X ) ],
% 1.18/1.55 [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Olast'( 'c_List_Olist_OCons'(
% 1.18/1.55 Y, X, Z ), Z ), 'c_List_Olast'( X, Z ) ) ],
% 1.18/1.55 [ =( 'c_List_Olast'( 'c_append'( X, 'c_List_Olist_ONil', Y ), Y ),
% 1.18/1.55 'c_List_Olast'( X, Y ) ) ],
% 1.18/1.55 [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Olast'( 'c_append'( Y, X, Z )
% 1.18/1.55 , Z ), 'c_List_Olast'( X, Z ) ) ],
% 1.18/1.55 [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) )
% 1.18/1.55 , =( 'c_List_Olast'( 'c_List_Odrop'( X, Y, Z ), Z ), 'c_List_Olast'( Y, Z
% 1.18/1.55 ) ) ],
% 1.18/1.55 [ 'c_in'( 'c_List_Olast'( X, Y ), 'c_List_Oset'( X, Y ), Y ), =( X,
% 1.18/1.55 'c_List_Olist_ONil' ) ],
% 1.18/1.55 [ =( X, 'c_0' ), =( 'c_List_Olast'( 'c_List_Oreplicate'( X, Y, Z ), Z )
% 1.18/1.55 , Y ) ],
% 1.18/1.55 [ =( 'c_List_Olast'( 'c_append'( X, 'c_List_Olist_OCons'( Y,
% 1.18/1.55 'c_List_Olist_ONil', Z ), Z ), Z ), Y ) ],
% 1.18/1.55 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_List_Olast'( 'c_List_Oupt'( X,
% 1.18/1.55 Y ), 'tc_nat' ), 'c_minus'( Y, 'c_1', 'tc_nat' ) ) ],
% 1.18/1.55 [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_0' ) ), =( X,
% 1.18/1.55 'c_List_Olist_ONil' ) ],
% 1.18/1.55 [ =( 'c_Nat_Osize'( 'c_List_Olist_ONil', 'tc_List_Olist'( X ) ), 'c_0' )
% 1.18/1.55 ],
% 1.18/1.55 [ =( 'c_Nat_Osize'( 'c_append'( X, Y, Z ), 'tc_List_Olist'( Z ) ),
% 1.18/1.55 'c_plus'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( Y,
% 1.18/1.55 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ],
% 1.18/1.55 [ =( 'c_Nat_Osize'( 'c_List_Obutlast'( X, Y ), 'tc_List_Olist'( Y ) ),
% 1.18/1.55 'c_minus'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_1', 'tc_nat' ) )
% 1.18/1.55 ],
% 1.18/1.55 [ =( 'c_Nat_Osize'( 'c_List_Odrop'( X, Y, Z ), 'tc_List_Olist'( Z ) ),
% 1.18/1.55 'c_minus'( 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), X, 'tc_nat' ) ) ]
% 1.18/1.55 ,
% 1.18/1.55 [ ~( 'c_less'( 'c_0', 'c_Nat_Osize'( 'c_List_Olist_ONil',
% 1.18/1.55 'tc_List_Olist'( X ) ), 'tc_nat' ) ) ],
% 1.18/1.55 [ 'c_less'( 'c_0', 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'tc_nat' )
% 1.18/1.55 , =( X, 'c_List_Olist_ONil' ) ],
% 1.18/1.55 [ =( 'c_Nat_Osize'( 'c_List_Olist__update'( X, Y, Z, T ),
% 1.18/1.55 'tc_List_Olist'( T ) ), 'c_Nat_Osize'( X, 'tc_List_Olist'( T ) ) ) ],
% 1.18/1.55 [ ~( =( 'c_Nat_Osize'( 'c_List_Oremdups'( X, Y ), 'tc_List_Olist'( Y ) )
% 1.18/1.55 , 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ) ) ), =( 'c_List_Oremdups'( X,
% 1.18/1.55 Y ), X ) ],
% 1.18/1.55 [ ~( =( 'c_List_Oremdups'( X, Y ), X ) ), =( 'c_Nat_Osize'(
% 1.18/1.55 'c_List_Oremdups'( X, Y ), 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X,
% 1.18/1.55 'tc_List_Olist'( Y ) ) ) ],
% 1.18/1.55 [ =( 'c_Nat_Osize'( 'c_List_Oreplicate'( X, Y, Z ), 'tc_List_Olist'( Z )
% 1.18/1.55 ), X ) ],
% 1.18/1.55 [ =( 'c_Nat_Osize'( 'c_List_Orev'( X, Y ), 'tc_List_Olist'( Y ) ),
% 1.18/1.55 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ) ) ],
% 1.18/1.55 [ =( 'c_Nat_Osize'( 'c_List_Orotate1'( X, Y ), 'tc_List_Olist'( Y ) ),
% 1.18/1.55 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ) ) ],
% 1.18/1.55 [ =( 'c_Nat_Osize'( 'c_List_Orotate'( X, Y, Z ), 'tc_List_Olist'( Z ) )
% 1.18/1.55 , 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ) ) ],
% 1.18/1.55 [ =( 'c_Nat_Osize'( 'c_List_Otake'( X, Y, Z ), 'tc_List_Olist'( Z ) ),
% 1.18/1.55 'c_Orderings_Omin'( 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), X, 'tc_nat'
% 1.18/1.55 ) ) ],
% 1.18/1.55 [ =( 'c_Nat_Osize'( 'c_List_Otl'( X, Y ), 'tc_List_Olist'( Y ) ),
% 1.18/1.55 'c_minus'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_1', 'tc_nat' ) )
% 1.18/1.55 ],
% 1.18/1.55 [ =( 'c_Nat_Osize'( 'c_List_Oupt'( X, Y ), 'tc_List_Olist'( 'tc_nat' ) )
% 1.18/1.55 , 'c_minus'( Y, X, 'tc_nat' ) ) ],
% 1.18/1.55 [ =( 'c_Nat_Osize'( 'c_List_Ozip'( X, Y, Z, T ), 'tc_List_Olist'(
% 1.18/1.55 'tc_prod'( Z, T ) ) ), 'c_Orderings_Omin'( 'c_Nat_Osize'( X,
% 1.18/1.55 'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( Y, 'tc_List_Olist'( T ) ),
% 1.18/1.55 'tc_nat' ) ) ],
% 1.18/1.55 [ =( 'c_List_Olexn'( X, 'c_0', Y ), 'c_emptyset' ) ],
% 1.18/1.55 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X, 'tc_List_Olist'( Y ),
% 1.18/1.55 'tc_List_Olist'( Y ) ), 'c_List_Olexord'( Z, Y ), 'tc_prod'(
% 1.18/1.55 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X,
% 1.18/1.55 'c_List_Olist_OCons'( 'c_Main_Olexord__Nil__left__1'( X, Y ),
% 1.18/1.55 'c_Main_Olexord__Nil__left__2'( X, Y ), Y ) ) ],
% 1.18/1.55 [ 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', 'c_List_Olist_OCons'( X, Y, Z )
% 1.18/1.55 , 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olexord'( T, Z )
% 1.18/1.55 , 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ],
% 1.18/1.55 [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil', 'tc_List_Olist'( Y ),
% 1.18/1.55 'tc_List_Olist'( Y ) ), 'c_List_Olexord'( Z, Y ), 'tc_prod'(
% 1.18/1.55 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ) ],
% 1.18/1.55 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.18/1.55 'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.18/1.55 ) ), 'c_List_Olexord'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.18/1.55 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( X, T, Z, Z ), W, 'tc_prod'(
% 1.18/1.55 Z, Z ) ), =( X, T ) ],
% 1.18/1.55 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.18/1.55 'c_List_Olist_OCons'( T, U, Z ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z
% 1.18/1.55 ) ), 'c_List_Olexord'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.18/1.55 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( X, T, Z, Z ), W, 'tc_prod'(
% 1.18/1.55 Z, Z ) ), 'c_in'( 'c_Pair'( Y, U, 'tc_List_Olist'( Z ), 'tc_List_Olist'(
% 1.18/1.55 Z ) ), 'c_List_Olexord'( W, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.18/1.55 'tc_List_Olist'( Z ) ) ) ],
% 1.18/1.55 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), 'c_in'(
% 1.18/1.55 'c_Pair'( 'c_List_Olist_OCons'( X, U, Z ), 'c_List_Olist_OCons'( Y, W, Z
% 1.18/1.55 ), 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olexord'( T, Z
% 1.18/1.55 ), 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ],
% 1.18/1.55 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z )
% 1.18/1.55 ), 'c_List_Olexord'( T, Z ), 'tc_prod'( 'tc_List_Olist'( Z ),
% 1.18/1.55 'tc_List_Olist'( Z ) ) ) ), 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( U, X
% 1.18/1.55 , Z ), 'c_List_Olist_OCons'( U, Y, Z ), 'tc_List_Olist'( Z ),
% 1.18/1.55 'tc_List_Olist'( Z ) ), 'c_List_Olexord'( T, Z ), 'tc_prod'(
% 1.18/1.55 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ],
% 1.18/1.55 [ ~( =( 'c_List_Olist_ONil', 'c_List_Olist_OCons'( X, Y, Z ) ) ) ],
% 1.18/1.55 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil' ) ) ],
% 1.18/1.55 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 1.18/1.55 ) ), =( X, T ) ],
% 1.18/1.55 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 1.18/1.55 ) ), =( Y, U ) ],
% 1.18/1.55 [ =( 'c_Nat_Osize'( 'c_List_Olist_OCons'( X, Y, Z ), 'tc_List_Olist'( Z
% 1.18/1.55 ) ), 'c_plus'( 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'c_Suc'( 'c_0'
% 1.18/1.55 ), 'tc_nat' ) ) ],
% 1.18/1.55 [ =( 'c_List_Olist__inter'( 'c_List_Olist_ONil', X, Y ),
% 1.18/1.55 'c_List_Olist_ONil' ) ],
% 1.18/1.55 [ ~( 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ) ), =( 'c_List_Olist__inter'(
% 1.18/1.55 'c_List_Olist_OCons'( X, T, Z ), Y, Z ), 'c_List_Olist_OCons'( X,
% 1.18/1.55 'c_List_Olist__inter'( T, Y, Z ), Z ) ) ],
% 1.18/1.55 [ 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ), =( 'c_List_Olist__inter'(
% 1.18/1.55 'c_List_Olist_OCons'( X, T, Z ), Y, Z ), 'c_List_Olist__inter'( T, Y, Z )
% 1.18/1.55 ) ],
% 1.18/1.55 [ =( 'c_List_Olist__update'( 'c_List_Olist_ONil', X, Y, Z ),
% 1.18/1.55 'c_List_Olist_ONil' ) ],
% 1.18/1.55 [ ~( 'c_lessequals'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), Z,
% 1.18/1.55 'tc_nat' ) ), =( 'c_List_Olist__update'( X, Z, T, Y ), X ) ],
% 1.18/1.55 [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) )
% 1.18/1.55 , =( 'c_List_Olist__update'( Y, X, 'c_List_Onth'( Y, X, Z ), Z ), Y ) ]
% 1.18/1.55 ,
% 1.18/1.55 [ =( 'c_List_Olist__update'( 'c_append'( X, 'c_List_Olist_OCons'( Y, Z,
% 1.18/1.55 T ), T ), 'c_Nat_Osize'( X, 'tc_List_Olist'( T ) ), U, T ), 'c_append'( X
% 1.18/1.55 , 'c_List_Olist_OCons'( U, Z, T ), T ) ) ],
% 1.18/1.55 [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) )
% 1.18/1.55 , =( 'c_List_Olist__update'( 'c_List_Olist__update'( Y, X, T, Z ), X, U,
% 1.18/1.55 Z ), 'c_List_Olist__update'( Y, X, U, Z ) ) ],
% 1.18/1.55 [ =( 'c_Relation_OImage'( 'c_List_Olistrel'( X, Y ), 'c_insert'(
% 1.18/1.55 'c_List_Olist_ONil', 'c_emptyset', 'tc_List_Olist'( Y ) ),
% 1.18/1.55 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ), 'c_insert'(
% 1.18/1.55 'c_List_Olist_ONil', 'c_emptyset', 'tc_List_Olist'( Y ) ) ) ],
% 1.18/1.55 [ =( 'c_List_Olists'( 'c_inter'( X, Y, Z ), Z ), 'c_inter'(
% 1.18/1.55 'c_List_Olists'( X, Z ), 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) )
% 1.18/1.55 ) ],
% 1.18/1.55 [ =( 'c_List_Olists'( 'c_UNIV', X ), 'c_UNIV' ) ],
% 1.18/1.55 [ =( 'c_List_Olistset'( 'c_List_Olist_ONil', X ), 'c_insert'(
% 1.18/1.55 'c_List_Olist_ONil', 'c_emptyset', 'tc_List_Olist'( X ) ) ) ],
% 1.18/1.55 [ =( 'c_List_Olistset'( 'c_List_Olist_OCons'( X, Y, 'tc_set'( Z ) ), Z )
% 1.18/1.55 , 'c_List_Oset__Cons'( X, 'c_List_Olistset'( Y, Z ), Z ) ) ],
% 1.18/1.55 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.18/1.55 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble9', V10 ), V3 ) ],
% 1.18/1.55 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.18/1.55 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleA', V10 ), V4 ) ],
% 1.18/1.55 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.18/1.55 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleB', V10 ), V5 ) ],
% 1.18/1.55 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.18/1.55 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleC', V10 ), V6 ) ],
% 1.18/1.55 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.18/1.55 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleD', V10 ), V7 ) ],
% 1.18/1.55 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.18/1.55 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleE', V10 ), V8 ) ],
% 1.18/1.55 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.18/1.55 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleF', V10 ), V9 ) ],
% 1.18/1.55 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.18/1.55 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble0', V10 ), X ) ],
% 1.18/1.55 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.18/1.55 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble1', V10 ), Y ) ],
% 1.18/1.55 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.18/1.55 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble2', V10 ), Z ) ],
% 1.18/1.55 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.18/1.55 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble3', V10 ), T ) ],
% 1.18/1.55 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.18/1.55 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble4', V10 ), U ) ],
% 1.18/1.55 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.18/1.55 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble5', V10 ), W ) ],
% 1.18/1.55 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.18/1.55 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble6', V10 ), V0 ) ],
% 1.18/1.55 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.18/1.55 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble7', V10 ), V1 ) ],
% 1.18/1.55 [ =( 'c_List_Onibble_Onibble__case'( X, Y, Z, T, U, W, V0, V1, V2, V3,
% 1.18/1.55 V4, V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble8', V10 ), V2 ) ],
% 1.18/1.55 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.18/1.55 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble9', V10 ), V3 ) ],
% 1.18/1.55 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.18/1.55 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleA', V10 ), V4 ) ],
% 1.18/1.55 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.18/1.55 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleB', V10 ), V5 ) ],
% 1.18/1.55 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.18/1.55 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleC', V10 ), V6 ) ],
% 1.18/1.55 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.18/1.55 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleD', V10 ), V7 ) ],
% 1.18/1.55 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.18/1.55 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleE', V10 ), V8 ) ],
% 1.18/1.55 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.18/1.55 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibbleF', V10 ), V9 ) ],
% 1.18/1.55 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.18/1.55 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble0', V10 ), X ) ],
% 1.18/1.55 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.18/1.55 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble1', V10 ), Y ) ],
% 1.18/1.55 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.18/1.55 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble2', V10 ), Z ) ],
% 1.18/1.55 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.18/1.55 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble3', V10 ), T ) ],
% 1.18/1.55 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.18/1.55 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble4', V10 ), U ) ],
% 1.18/1.55 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.18/1.55 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble5', V10 ), W ) ],
% 1.18/1.55 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.18/1.55 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble6', V10 ), V0 ) ],
% 1.18/1.55 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.18/1.55 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble7', V10 ), V1 ) ],
% 1.18/1.55 [ =( 'c_List_Onibble_Onibble__rec'( X, Y, Z, T, U, W, V0, V1, V2, V3, V4
% 1.18/1.55 , V5, V6, V7, V8, V9, 'c_List_Onibble_ONibble8', V10 ), V2 ) ],
% 1.18/1.55 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble9', 'tc_List_Onibble' ),
% 1.18/1.55 'c_0' ) ],
% 1.18/1.55 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleA', 'tc_List_Onibble' ),
% 1.18/1.55 'c_0' ) ],
% 1.18/1.55 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleB', 'tc_List_Onibble' ),
% 1.18/1.55 'c_0' ) ],
% 1.18/1.55 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleC', 'tc_List_Onibble' ),
% 1.18/1.55 'c_0' ) ],
% 1.18/1.55 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleD', 'tc_List_Onibble' ),
% 1.18/1.55 'c_0' ) ],
% 1.18/1.55 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleE', 'tc_List_Onibble' ),
% 1.18/1.55 'c_0' ) ],
% 1.18/1.55 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibbleF', 'tc_List_Onibble' ),
% 1.18/1.55 'c_0' ) ],
% 1.18/1.55 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble0', 'tc_List_Onibble' ),
% 1.18/1.55 'c_0' ) ],
% 1.18/1.55 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble1', 'tc_List_Onibble' ),
% 1.18/1.55 'c_0' ) ],
% 1.18/1.55 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble2', 'tc_List_Onibble' ),
% 1.18/1.55 'c_0' ) ],
% 1.18/1.55 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble3', 'tc_List_Onibble' ),
% 1.18/1.55 'c_0' ) ],
% 1.18/1.55 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble4', 'tc_List_Onibble' ),
% 1.18/1.55 'c_0' ) ],
% 1.18/1.55 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble5', 'tc_List_Onibble' ),
% 1.18/1.55 'c_0' ) ],
% 1.18/1.55 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble6', 'tc_List_Onibble' ),
% 1.18/1.55 'c_0' ) ],
% 1.18/1.55 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble7', 'tc_List_Onibble' ),
% 1.18/1.55 'c_0' ) ],
% 1.18/1.55 [ =( 'c_Nat_Osize'( 'c_List_Onibble_ONibble8', 'tc_List_Onibble' ),
% 1.18/1.55 'c_0' ) ],
% 1.18/1.55 [ ~( =( X, 'c_List_Olist_OCons'( Y, X, Z ) ) ) ],
% 1.18/1.55 [ ~( 'c_in'( X, 'c_List_Oset'( 'c_List_Oremove1'( Y, Z, T ), T ), T ) )
% 1.18/1.55 , 'c_in'( X, 'c_List_Oset'( Z, T ), T ) ],
% 1.18/1.55 [ ~( 'c_in'( X, 'c_List_Oset'( 'c_List_Osublist'( Y, Z, T ), T ), T ) )
% 1.18/1.55 , 'c_in'( X, 'c_List_Oset'( Y, T ), T ) ],
% 1.18/1.55 [ =( 'c_List_Onth'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_0', Z ), X ) ]
% 1.18/1.55 ,
% 1.18/1.55 [ =( 'c_List_Onth'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_Suc'( T ), Z ),
% 1.18/1.55 'c_List_Onth'( Y, T, Z ) ) ],
% 1.18/1.55 [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ), =(
% 1.18/1.55 'c_List_Onth'( 'c_List_Olist_OCons'( Y, Z, T ), 'c_Numeral_Onumber__of'(
% 1.18/1.55 X, 'tc_nat' ), T ), Y ) ],
% 1.18/1.55 [ =( 'c_List_Onth'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.18/1.55 'c_Numeral_Onumber__of'( T, 'tc_nat' ), Z ), 'c_List_Onth'( Y, 'c_minus'(
% 1.18/1.55 'c_Numeral_Onumber__of'( T, 'tc_nat' ), 'c_1', 'tc_nat' ), Z ) ), =(
% 1.18/1.55 'c_Numeral_Onumber__of'( T, 'tc_nat' ), 'c_0' ) ],
% 1.18/1.55 [ =( 'c_List_Onth'( 'c_append'( X, 'c_List_Olist_OCons'( Y, Z, T ), T )
% 1.18/1.55 , 'c_Nat_Osize'( X, 'tc_List_Olist'( T ) ), T ), Y ) ],
% 1.18/1.55 [ =( 'c_List_Onth'( 'c_append'( X, Y, Z ), 'c_plus'( 'c_Nat_Osize'( X,
% 1.18/1.55 'tc_List_Olist'( Z ) ), T, 'tc_nat' ), Z ), 'c_List_Onth'( Y, T, Z ) ) ]
% 1.18/1.55 ,
% 1.18/1.55 [ ~( 'c_lessequals'( 'c_plus'( X, Y, 'tc_nat' ), 'c_Nat_Osize'( Z,
% 1.18/1.55 'tc_List_Olist'( T ) ), 'tc_nat' ) ), =( 'c_List_Onth'( 'c_List_Odrop'( X
% 1.18/1.55 , Z, T ), Y, T ), 'c_List_Onth'( Z, 'c_plus'( X, Y, 'tc_nat' ), T ) ) ]
% 1.18/1.55 ,
% 1.18/1.55 [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) )
% 1.18/1.55 , =( 'c_List_Onth'( 'c_List_Olist__update'( Y, X, T, Z ), X, Z ), T ) ]
% 1.18/1.55 ,
% 1.18/1.55 [ =( X, Y ), =( 'c_List_Onth'( 'c_List_Olist__update'( Z, X, T, U ), Y,
% 1.18/1.55 U ), 'c_List_Onth'( Z, Y, U ) ) ],
% 1.18/1.55 [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) )
% 1.18/1.55 , 'c_in'( 'c_List_Onth'( Y, X, Z ), 'c_List_Oset'( Y, Z ), Z ) ],
% 1.18/1.55 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_List_Onth'( 'c_List_Oreplicate'(
% 1.18/1.55 Y, Z, T ), X, T ), Z ) ],
% 1.18/1.55 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), =( 'c_List_Onth'( 'c_List_Otake'( Y,
% 1.18/1.55 Z, T ), X, T ), 'c_List_Onth'( Z, X, T ) ) ],
% 1.18/1.55 [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ) ), =(
% 1.18/1.55 'c_List_Onth'( 'c_List_Oupt'( X, Z ), Y, 'tc_nat' ), 'c_plus'( X, Y,
% 1.18/1.55 'tc_nat' ) ) ],
% 1.18/1.55 [ ~( 'c_less'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) )
% 1.18/1.55 , ~( 'c_less'( X, 'c_Nat_Osize'( T, 'tc_List_Olist'( U ) ), 'tc_nat' ) )
% 1.18/1.55 , =( 'c_List_Onth'( 'c_List_Ozip'( T, Y, U, Z ), X, 'tc_prod'( U, Z ) ),
% 1.18/1.55 'c_Pair'( 'c_List_Onth'( T, X, U ), 'c_List_Onth'( Y, X, Z ), U, Z ) ) ]
% 1.18/1.55 ,
% 1.18/1.55 [ 'c_List_Onull'( 'c_List_Olist_ONil', X ) ],
% 1.18/1.55 [ ~( 'c_List_Onull'( 'c_List_Olist_OCons'( X, Y, Z ), Z ) ) ],
% 1.18/1.55 [ =( 'c_append'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ),
% 1.18/1.55 'c_List_Olist_OCons'( X, 'c_append'( Y, T, Z ), Z ) ) ],
% 1.18/1.55 [ ~( 'c_List_Oop_Amem'( X, 'c_List_Olist_ONil', Y ) ) ],
% 1.18/1.55 [ ~( 'c_List_Oop_Amem'( X, 'c_List_Olist_OCons'( Y, Z, T ), T ) ),
% 1.18/1.55 'c_List_Oop_Amem'( X, Z, T ), =( Y, X ) ],
% 1.18/1.55 [ 'c_List_Oop_Amem'( X, 'c_List_Olist_OCons'( X, Y, Z ), Z ) ],
% 1.18/1.55 [ ~( 'c_List_Oop_Amem'( X, Y, Z ) ), 'c_List_Oop_Amem'( X,
% 1.18/1.55 'c_List_Olist_OCons'( T, Y, Z ), Z ) ],
% 1.18/1.55 [ ~( 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ) ), =( 'c_List_Oremdups'(
% 1.18/1.55 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_List_Oremdups'( Y, Z ) ) ],
% 1.18/1.55 [ 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ), =( 'c_List_Oremdups'(
% 1.18/1.55 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_List_Olist_OCons'( X,
% 1.18/1.55 'c_List_Oremdups'( Y, Z ), Z ) ) ],
% 1.18/1.55 [ ~( =( 'c_List_Oremdups'( X, Y ), 'c_List_Olist_ONil' ) ), =( X,
% 1.18/1.55 'c_List_Olist_ONil' ) ],
% 1.18/1.55 [ =( 'c_List_Oremdups'( 'c_List_Olist_ONil', X ), 'c_List_Olist_ONil' )
% 1.18/1.55 ],
% 1.18/1.55 [ ~( =( 'c_List_Olist_ONil', 'c_List_Oremdups'( X, Y ) ) ), =( X,
% 1.18/1.55 'c_List_Olist_ONil' ) ],
% 1.18/1.55 [ =( 'c_List_Olist_ONil', 'c_List_Oremdups'( 'c_List_Olist_ONil', X ) )
% 1.18/1.55 ],
% 1.18/1.55 [ =( 'c_List_Oremove1'( X, 'c_List_Olist_ONil', Y ), 'c_List_Olist_ONil'
% 1.18/1.55 ) ],
% 1.18/1.55 [ =( 'c_List_Oremove1'( X, 'c_List_Olist_OCons'( X, Y, Z ), Z ), Y ) ]
% 1.18/1.55 ,
% 1.18/1.55 [ =( X, Y ), =( 'c_List_Oremove1'( X, 'c_List_Olist_OCons'( Y, Z, T ), T
% 1.18/1.55 ), 'c_List_Olist_OCons'( Y, 'c_List_Oremove1'( X, Z, T ), T ) ) ],
% 1.18/1.55 [ =( 'c_List_Oreplicate'( 'c_0', X, Y ), 'c_List_Olist_ONil' ) ],
% 1.18/1.55 [ =( 'c_List_Oreplicate'( 'c_Suc'( X ), Y, Z ), 'c_List_Olist_OCons'( Y
% 1.18/1.55 , 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ],
% 1.18/1.55 [ =( 'c_List_Orev'( 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_append'(
% 1.18/1.55 'c_List_Orev'( Y, Z ), 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Z )
% 1.18/1.55 , Z ) ) ],
% 1.18/1.55 [ =( 'c_List_Orev'( 'c_append'( X, Y, Z ), Z ), 'c_append'(
% 1.18/1.55 'c_List_Orev'( Y, Z ), 'c_List_Orev'( X, Z ), Z ) ) ],
% 1.18/1.55 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z, T, Y ) ) ), =( X
% 1.18/1.55 , 'c_append'( 'c_List_Orev'( T, Y ), 'c_List_Olist_OCons'( Z,
% 1.18/1.55 'c_List_Olist_ONil', Y ), Y ) ) ],
% 1.18/1.55 [ =( 'c_List_Orev'( 'c_append'( 'c_List_Orev'( X, Y ),
% 1.18/1.55 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil', Y ), Y ), Y ),
% 1.18/1.55 'c_List_Olist_OCons'( Z, X, Y ) ) ],
% 1.18/1.55 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_ONil' ) ), =( X,
% 1.18/1.55 'c_List_Olist_ONil' ) ],
% 1.18/1.55 [ =( 'c_List_Orev'( 'c_List_Olist_ONil', X ), 'c_List_Olist_ONil' ) ]
% 1.18/1.55 ,
% 1.18/1.55 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Orev'( Z, Y ) ) ), =( X, Z ) ]
% 1.18/1.55 ,
% 1.18/1.55 [ =( 'c_List_Orev'( 'c_List_Oreplicate'( X, Y, Z ), Z ),
% 1.18/1.55 'c_List_Oreplicate'( X, Y, Z ) ) ],
% 1.18/1.55 [ =( 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ), X ) ],
% 1.18/1.55 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z,
% 1.18/1.55 'c_List_Olist_ONil', Y ) ) ), =( X, 'c_List_Olist_OCons'( Z,
% 1.18/1.55 'c_List_Olist_ONil', Y ) ) ],
% 1.18/1.55 [ =( 'c_List_Orev'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ), Y
% 1.18/1.55 ), 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ) ) ],
% 1.18/1.55 [ ~( =( 'c_List_Orotate1'( X, Y ), 'c_List_Olist_ONil' ) ), =( X,
% 1.18/1.55 'c_List_Olist_ONil' ) ],
% 1.18/1.55 [ =( 'c_List_Orotate1'( 'c_List_Olist_ONil', X ), 'c_List_Olist_ONil' )
% 1.18/1.55 ],
% 1.18/1.55 [ ~( 'c_lessequals'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_1',
% 1.18/1.55 'tc_nat' ) ), =( 'c_List_Orotate1'( X, Y ), X ) ],
% 1.18/1.55 [ =( 'c_List_Orotate'( 'c_Suc'( X ), Y, Z ), 'c_List_Orotate1'(
% 1.18/1.55 'c_List_Orotate'( X, Y, Z ), Z ) ) ],
% 1.18/1.55 [ ~( =( 'c_Divides_Oop_Amod'( X, 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z )
% 1.18/1.55 ), 'tc_nat' ), 'c_0' ) ), =( 'c_List_Orotate'( X, Y, Z ), Y ) ],
% 1.18/1.55 [ ~( =( 'c_List_Orotate'( X, Y, Z ), 'c_List_Olist_ONil' ) ), =( Y,
% 1.18/1.55 'c_List_Olist_ONil' ) ],
% 1.18/1.55 [ =( 'c_List_Orotate'( X, 'c_List_Olist_ONil', Y ), 'c_List_Olist_ONil'
% 1.18/1.55 ) ],
% 1.18/1.55 [ ~( 'c_lessequals'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_1',
% 1.18/1.55 'tc_nat' ) ), =( 'c_List_Orotate'( Z, X, Y ), X ) ],
% 1.18/1.55 [ ~( =( 'c_append'( X, Y, Z ), 'c_append'( X, T, Z ) ) ), =( Y, T ) ]
% 1.18/1.55 ,
% 1.18/1.55 [ ~( =( X, 'c_append'( Y, X, Z ) ) ), =( Y, 'c_List_Olist_ONil' ) ],
% 1.18/1.55 [ =( X, 'c_append'( 'c_List_Olist_ONil', X, Y ) ) ],
% 1.18/1.55 [ ~( =( X, 'c_append'( X, Y, Z ) ) ), =( Y, 'c_List_Olist_ONil' ) ],
% 1.18/1.55 [ =( X, 'c_append'( X, 'c_List_Olist_ONil', Y ) ) ],
% 1.18/1.55 [ =( 'c_List_Oset'( 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_insert'( X
% 1.18/1.55 , 'c_List_Oset'( Y, Z ), Z ) ) ],
% 1.18/1.55 [ =( 'c_List_Oset'( 'c_append'( X, Y, Z ), Z ), 'c_union'( 'c_List_Oset'(
% 1.18/1.55 X, Z ), 'c_List_Oset'( Y, Z ), Z ) ) ],
% 1.18/1.55 [ ~( =( 'c_emptyset', 'c_List_Oset'( X, Y ) ) ), =( X,
% 1.18/1.55 'c_List_Olist_ONil' ) ],
% 1.18/1.55 [ =( 'c_emptyset', 'c_List_Oset'( 'c_List_Olist_ONil', X ) ) ],
% 1.18/1.55 [ ~( =( 'c_List_Oset'( X, Y ), 'c_emptyset' ) ), =( X,
% 1.18/1.55 'c_List_Olist_ONil' ) ],
% 1.18/1.55 [ =( 'c_List_Oset'( 'c_List_Olist_ONil', X ), 'c_emptyset' ) ],
% 1.18/1.55 [ =( 'c_List_Oset'( 'c_List_Oremdups'( X, Y ), Y ), 'c_List_Oset'( X, Y
% 1.18/1.55 ) ) ],
% 1.18/1.55 [ ~( 'c_List_Odistinct'( X, Y ) ), =( 'c_List_Oset'( 'c_List_Oremove1'(
% 1.18/1.55 Z, X, Y ), Y ), 'c_minus'( 'c_List_Oset'( X, Y ), 'c_insert'( Z,
% 1.18/1.55 'c_emptyset', Y ), 'tc_set'( Y ) ) ) ],
% 1.18/1.55 [ =( X, 'c_0' ), =( 'c_List_Oset'( 'c_List_Oreplicate'( X, Y, Z ), Z ),
% 1.18/1.55 'c_insert'( Y, 'c_emptyset', Z ) ) ],
% 1.18/1.55 [ =( 'c_List_Oset'( 'c_List_Orev'( X, Y ), Y ), 'c_List_Oset'( X, Y ) )
% 1.18/1.55 ],
% 1.18/1.55 [ =( 'c_List_Oset'( 'c_List_Orotate1'( X, Y ), Y ), 'c_List_Oset'( X, Y
% 1.18/1.55 ) ) ],
% 1.18/1.55 [ =( 'c_List_Oset'( 'c_List_Orotate'( X, Y, Z ), Z ), 'c_List_Oset'( Y,
% 1.18/1.55 Z ) ) ],
% 1.18/1.55 [ ~( =( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ), 'c_List_Orev'(
% 1.18/1.55 Z, Y ) ) ), =( Z, 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ) ) ]
% 1.18/1.55 ,
% 1.18/1.55 [ =( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ), 'c_List_Orev'(
% 1.18/1.55 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil', Y ), Y ) ) ],
% 1.18/1.55 [ =( 'c_List_Osublist'( X, 'c_emptyset', Y ), 'c_List_Olist_ONil' ) ]
% 1.18/1.55 ,
% 1.18/1.55 [ =( 'c_List_Osublist'( 'c_List_Olist_ONil', X, Y ), 'c_List_Olist_ONil'
% 1.18/1.55 ) ],
% 1.18/1.55 [ ~( 'c_in'( 'c_0', X, 'tc_nat' ) ), =( 'c_List_Osublist'(
% 1.18/1.55 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z ), X, Z ),
% 1.18/1.55 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z ) ) ],
% 1.18/1.55 [ 'c_in'( 'c_0', X, 'tc_nat' ), =( 'c_List_Osublist'(
% 1.18/1.55 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil', Z ), X, Z ),
% 1.18/1.55 'c_List_Olist_ONil' ) ],
% 1.18/1.55 [ =( 'c_List_Osublist'( X, 'c_SetInterval_OlessThan'( Y, 'tc_nat' ), Z )
% 1.18/1.55 , 'c_List_Otake'( Y, X, Z ) ) ],
% 1.18/1.55 [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ), =(
% 1.18/1.55 'c_List_Otake'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.18/1.55 'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_List_Olist_ONil' ) ],
% 1.18/1.55 [ =( 'c_List_Otake'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.18/1.55 'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_List_Olist_OCons'( Y,
% 1.18/1.55 'c_List_Otake'( 'c_minus'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_1'
% 1.18/1.55 , 'tc_nat' ), Z, T ), T ) ), =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.18/1.55 'c_0' ) ],
% 1.18/1.55 [ =( 'c_List_Otake'( 'c_Suc'( X ), 'c_List_Olist_OCons'( Y, Z, T ), T )
% 1.18/1.55 , 'c_List_Olist_OCons'( Y, 'c_List_Otake'( X, Z, T ), T ) ) ],
% 1.18/1.55 [ ~( 'c_lessequals'( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), Z,
% 1.18/1.55 'tc_nat' ) ), =( 'c_List_Otake'( Z, X, Y ), X ) ],
% 1.18/1.55 [ =( 'c_List_Otake'( X, 'c_append'( Y, Z, T ), T ), 'c_append'(
% 1.18/1.55 'c_List_Otake'( X, Y, T ), 'c_List_Otake'( 'c_minus'( X, 'c_Nat_Osize'( Y
% 1.18/1.55 , 'tc_List_Olist'( T ) ), 'tc_nat' ), Z, T ), T ) ) ],
% 1.18/1.55 [ ~( =( 'c_List_Otake'( X, Y, Z ), 'c_List_Olist_ONil' ) ), =( X, 'c_0'
% 1.18/1.55 ), =( Y, 'c_List_Olist_ONil' ) ],
% 1.18/1.55 [ =( 'c_List_Otake'( 'c_0', X, Y ), 'c_List_Olist_ONil' ) ],
% 1.18/1.55 [ =( 'c_List_Otake'( X, 'c_List_Olist_ONil', Y ), 'c_List_Olist_ONil' )
% 1.18/1.55 ],
% 1.18/1.55 [ =( 'c_List_Otake'( X, 'c_List_Oreplicate'( Y, Z, T ), T ),
% 1.18/1.55 'c_List_Oreplicate'( 'c_Orderings_Omin'( X, Y, 'tc_nat' ), Z, T ) ) ]
% 1.18/1.55 ,
% 1.18/1.55 [ =( 'c_List_Otake'( X, 'c_List_Otake'( Y, Z, T ), T ), 'c_List_Otake'(
% 1.18/1.55 'c_Orderings_Omin'( X, Y, 'tc_nat' ), Z, T ) ) ],
% 1.18/1.55 [ ~( 'c_lessequals'( 'c_plus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ) ), =(
% 1.18/1.55 'c_List_Otake'( Y, 'c_List_Oupt'( X, Z ), 'tc_nat' ), 'c_List_Oupt'( X,
% 1.18/1.55 'c_plus'( X, Y, 'tc_nat' ) ) ) ],
% 1.18/1.55 [ =( 'c_List_Otl'( 'c_List_Olist_ONil', X ), 'c_List_Olist_ONil' ) ]
% 1.18/1.55 ,
% 1.18/1.55 [ =( 'c_List_Otl'( 'c_List_Olist_OCons'( X, Y, Z ), Z ), Y ) ],
% 1.18/1.55 [ =( X, 'c_List_Olist_ONil' ), =( 'c_List_Otl'( 'c_append'( X, Y, Z ), Z
% 1.18/1.55 ), 'c_append'( 'c_List_Otl'( X, Z ), Y, Z ) ) ],
% 1.18/1.55 [ =( X, 'c_0' ), =( 'c_List_Otl'( 'c_List_Oreplicate'( X, Y, Z ), Z ),
% 1.18/1.55 'c_List_Oreplicate'( 'c_minus'( X, 'c_1', 'tc_nat' ), Y, Z ) ) ],
% 1.18/1.55 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_List_Oupt'( X, 'c_Suc'( Y
% 1.18/1.55 ) ), 'c_append'( 'c_List_Oupt'( X, Y ), 'c_List_Olist_OCons'( Y,
% 1.18/1.55 'c_List_Olist_ONil', 'tc_nat' ), 'tc_nat' ) ) ],
% 1.18/1.55 [ 'c_lessequals'( X, Y, 'tc_nat' ), =( 'c_List_Oupt'( X, 'c_Suc'( Y ) )
% 1.18/1.55 , 'c_List_Olist_ONil' ) ],
% 1.18/1.55 [ ~( =( 'c_List_Oupt'( X, Y ), 'c_List_Olist_ONil' ) ), 'c_lessequals'(
% 1.18/1.55 Y, X, 'tc_nat' ), =( Y, 'c_0' ) ],
% 1.18/1.55 [ =( 'c_List_Oupt'( X, 'c_0' ), 'c_List_Olist_ONil' ) ],
% 1.18/1.55 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_List_Oupt'( Y, X ),
% 1.18/1.55 'c_List_Olist_ONil' ) ],
% 1.18/1.55 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), Y ) ) ],
% 1.18/1.55 [ =( 'c_List_Ozip'( X, 'c_List_Olist_ONil', Y, Z ), 'c_List_Olist_ONil'
% 1.18/1.55 ) ],
% 1.18/1.55 [ =( 'c_List_Ozip'( 'c_List_Olist_OCons'( X, Y, Z ),
% 1.18/1.55 'c_List_Olist_OCons'( T, U, W ), Z, W ), 'c_List_Olist_OCons'( 'c_Pair'(
% 1.18/1.55 X, T, Z, W ), 'c_List_Ozip'( Y, U, Z, W ), 'tc_prod'( Z, W ) ) ) ],
% 1.18/1.55 [ =( 'c_List_Ozip'( 'c_List_Olist_ONil', X, Y, Z ), 'c_List_Olist_ONil'
% 1.18/1.55 ) ],
% 1.18/1.55 [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( Z,
% 1.18/1.55 'tc_List_Olist'( T ) ) ) ), ~( =( 'c_Nat_Osize'( U, 'tc_List_Olist'( Y )
% 1.18/1.55 ), 'c_Nat_Osize'( W, 'tc_List_Olist'( T ) ) ) ), =( 'c_List_Ozip'(
% 1.18/1.55 'c_append'( U, X, Y ), 'c_append'( W, Z, T ), Y, T ), 'c_append'(
% 1.18/1.55 'c_List_Ozip'( U, W, Y, T ), 'c_List_Ozip'( X, Z, Y, T ), 'tc_prod'( Y, T
% 1.18/1.55 ) ) ) ],
% 1.18/1.55 [ =( 'c_List_Ozip'( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Oreplicate'(
% 1.18/1.55 T, U, W ), Z, W ), 'c_List_Oreplicate'( 'c_Orderings_Omin'( X, T,
% 1.18/1.55 'tc_nat' ), 'c_Pair'( Y, U, Z, W ), 'tc_prod'( Z, W ) ) ) ],
% 1.18/1.55 [ ~( 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ) ), ~( =( 'c_Map_Omap__of'(
% 1.18/1.55 'c_List_Ozip'( Y, T, Z, U ), X, Z, U ), 'c_Datatype_Ooption_ONone' ) ),
% 1.18/1.55 ~( =( 'c_Nat_Osize'( Y, 'tc_List_Olist'( Z ) ), 'c_Nat_Osize'( T,
% 1.18/1.55 'tc_List_Olist'( U ) ) ) ) ],
% 1.18/1.55 [ ~( =( 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( Z,
% 1.18/1.55 'tc_List_Olist'( T ) ) ) ), 'c_in'( U, 'c_List_Oset'( X, Y ), Y ), =(
% 1.18/1.55 'c_Map_Omap__of'( 'c_List_Ozip'( X, Z, Y, T ), U, Y, T ),
% 1.18/1.55 'c_Datatype_Ooption_ONone' ) ],
% 1.18/1.55 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_plus'( 'c_minus'( Y, X,
% 1.18/1.55 'tc_nat' ), Z, 'tc_nat' ), 'c_minus'( 'c_plus'( Y, Z, 'tc_nat' ), X,
% 1.18/1.55 'tc_nat' ) ) ],
% 1.18/1.55 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_plus'( Z, 'c_minus'( Y, X
% 1.18/1.55 , 'tc_nat' ), 'tc_nat' ), 'c_minus'( 'c_plus'( Z, Y, 'tc_nat' ), X,
% 1.18/1.55 'tc_nat' ) ) ],
% 1.18/1.55 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_minus'( Z, 'c_Suc'(
% 1.18/1.55 'c_minus'( Y, X, 'tc_nat' ) ), 'tc_nat' ), 'c_minus'( 'c_plus'( Z, X,
% 1.18/1.55 'tc_nat' ), 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 1.18/1.55 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_minus'( 'c_Suc'(
% 1.18/1.55 'c_minus'( Y, X, 'tc_nat' ) ), Z, 'tc_nat' ), 'c_minus'( 'c_Suc'( Y ),
% 1.18/1.55 'c_plus'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.18/1.55 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_minus'( Y, 'c_minus'( Y,
% 1.18/1.55 X, 'tc_nat' ), 'tc_nat' ), X ) ],
% 1.18/1.55 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_minus'( Z, 'c_minus'( Y,
% 1.18/1.55 X, 'tc_nat' ), 'tc_nat' ), 'c_minus'( 'c_plus'( Z, X, 'tc_nat' ), Y,
% 1.18/1.55 'tc_nat' ) ) ],
% 1.18/1.55 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), ~( 'c_less'( 'c_0', Y, 'tc_nat' )
% 1.18/1.55 ), 'c_less'( 'c_minus'( X, Y, 'tc_nat' ), X, 'tc_nat' ) ],
% 1.18/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), =(
% 1.18/1.55 'c_NatArith_Oof__nat'( 'c_Suc'( Y ), X ), 'c_plus'( 'c_NatArith_Oof__nat'(
% 1.18/1.55 Y, X ), 'c_1', X ) ) ],
% 1.18/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( 'c_0',
% 1.18/1.55 'c_NatArith_Oof__nat'( Y, X ) ) ), =( 'c_0', Y ) ],
% 1.18/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), =( 'c_0',
% 1.18/1.55 'c_NatArith_Oof__nat'( 'c_0', X ) ) ],
% 1.18/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.18/1.55 'c_0', 'c_NatArith_Oof__nat'( Y, X ), X ) ],
% 1.18/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'(
% 1.18/1.55 'c_0', 'c_NatArith_Oof__nat'( Y, X ), X ) ), 'c_less'( 'c_0', Y, 'tc_nat'
% 1.18/1.55 ) ],
% 1.18/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'(
% 1.18/1.55 'c_0', Y, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_NatArith_Oof__nat'( Y, X ), X
% 1.18/1.55 ) ],
% 1.18/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), =(
% 1.18/1.55 'c_NatArith_Oof__nat'( 'c_1', X ), 'c_1' ) ],
% 1.18/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), =(
% 1.18/1.55 'c_NatArith_Oof__nat'( 'c_plus'( Y, Z, 'tc_nat' ), X ), 'c_plus'(
% 1.18/1.55 'c_NatArith_Oof__nat'( Y, X ), 'c_NatArith_Oof__nat'( Z, X ), X ) ) ]
% 1.18/1.55 ,
% 1.18/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_lessequals'(
% 1.18/1.55 Y, Z, 'tc_nat' ) ), =( 'c_NatArith_Oof__nat'( 'c_minus'( Z, Y, 'tc_nat' )
% 1.18/1.55 , X ), 'c_minus'( 'c_NatArith_Oof__nat'( Z, X ), 'c_NatArith_Oof__nat'( Y
% 1.18/1.55 , X ), X ) ) ],
% 1.18/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 1.18/1.55 'c_NatArith_Oof__nat'( Y, X ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.18/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), =(
% 1.18/1.55 'c_NatArith_Oof__nat'( 'c_0', X ), 'c_0' ) ],
% 1.18/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 1.18/1.55 'c_NatArith_Oof__nat'( Y, X ), 'c_NatArith_Oof__nat'( Z, X ) ) ), =( Y, Z
% 1.18/1.55 ) ],
% 1.18/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.18/1.55 'c_lessequals'( 'c_NatArith_Oof__nat'( Y, X ), 'c_0', X ) ), =( Y, 'c_0'
% 1.18/1.55 ) ],
% 1.18/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.18/1.55 'c_NatArith_Oof__nat'( 'c_0', X ), 'c_0', X ) ],
% 1.18/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.18/1.55 'c_lessequals'( 'c_NatArith_Oof__nat'( Y, X ), 'c_NatArith_Oof__nat'( Z,
% 1.18/1.55 X ), X ) ), 'c_lessequals'( Y, Z, 'tc_nat' ) ],
% 1.18/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.18/1.55 'c_lessequals'( Y, Z, 'tc_nat' ) ), 'c_lessequals'( 'c_NatArith_Oof__nat'(
% 1.18/1.55 Y, X ), 'c_NatArith_Oof__nat'( Z, X ), X ) ],
% 1.18/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'(
% 1.18/1.55 'c_NatArith_Oof__nat'( Y, X ), 'c_0', X ) ) ],
% 1.18/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'(
% 1.18/1.55 'c_NatArith_Oof__nat'( Y, X ), 'c_NatArith_Oof__nat'( Z, X ), X ) ),
% 1.18/1.55 'c_less'( Y, Z, 'tc_nat' ) ],
% 1.18/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( Y,
% 1.18/1.55 Z, 'tc_nat' ) ), 'c_less'( 'c_NatArith_Oof__nat'( Y, X ),
% 1.18/1.55 'c_NatArith_Oof__nat'( Z, X ), X ) ],
% 1.18/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), =(
% 1.18/1.55 'c_NatArith_Oof__nat'( 'c_times'( Y, Z, 'tc_nat' ), X ), 'c_times'(
% 1.18/1.55 'c_NatArith_Oof__nat'( Y, X ), 'c_NatArith_Oof__nat'( Z, X ), X ) ) ]
% 1.18/1.55 ,
% 1.18/1.55 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.18/1.55 'tc_IntDef_Oint' ) ), =( 'c_Suc'( 'c_Numeral_Onumber__of'( X, 'tc_nat' )
% 1.18/1.55 ), 'c_1' ) ],
% 1.18/1.55 [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.18/1.55 'tc_IntDef_Oint' ), =( 'c_Suc'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ) )
% 1.18/1.55 , 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__succ'( X ), 'tc_nat' ) ) ]
% 1.18/1.55 ,
% 1.18/1.55 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.18/1.55 'tc_IntDef_Oint' ) ), =( 'c_plus'( 'c_Numeral_Onumber__of'( X, 'tc_nat' )
% 1.18/1.55 , 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ),
% 1.18/1.55 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ],
% 1.18/1.55 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.18/1.55 'tc_IntDef_Oint' ) ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y,
% 1.18/1.55 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_plus'(
% 1.18/1.55 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_Numeral_Onumber__of'( X,
% 1.18/1.55 'tc_nat' ), 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ],
% 1.18/1.55 [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.18/1.55 'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y,
% 1.18/1.55 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_plus'(
% 1.18/1.55 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_Numeral_Onumber__of'( X,
% 1.18/1.55 'tc_nat' ), 'tc_nat' ), 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y
% 1.18/1.55 , X ), 'tc_nat' ) ) ],
% 1.18/1.55 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.18/1.55 'tc_IntDef_Oint' ) ), =( 'c_div'( 'c_Numeral_Onumber__of'( X, 'tc_nat' )
% 1.18/1.55 , 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_0' ) ],
% 1.18/1.55 [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.18/1.55 'tc_IntDef_Oint' ), =( 'c_div'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.18/1.55 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_IntDef_Onat'(
% 1.18/1.55 'c_div'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.18/1.55 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ) ]
% 1.18/1.55 ,
% 1.18/1.55 [ ~( 'c_Divides_Oop_Advd'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.18/1.55 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), =(
% 1.18/1.55 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ),
% 1.18/1.55 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ), 'c_0' ) ],
% 1.18/1.55 [ ~( =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.18/1.55 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_0' ) ),
% 1.18/1.55 'c_Divides_Oop_Advd'( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ),
% 1.18/1.55 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ) ],
% 1.18/1.55 [ ~( =( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_nat' ) ) ),
% 1.18/1.55 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.18/1.55 'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.18/1.55 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.18/1.55 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.18/1.55 'tc_IntDef_Oint' ) ), =( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_nat' ) )
% 1.18/1.55 ],
% 1.18/1.55 [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.18/1.55 , 'tc_IntDef_Oint' ) ), =( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_nat' )
% 1.18/1.55 ) ],
% 1.18/1.55 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.18/1.55 'tc_IntDef_Oint' ) ), ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.18/1.55 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ), 'c_IntDef_Oiszero'(
% 1.18/1.55 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.18/1.55 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.18/1.55 'tc_IntDef_Oint' ) ],
% 1.18/1.55 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.18/1.55 'tc_IntDef_Oint' ) ), ~( =( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ),
% 1.18/1.55 'c_Numeral_Onumber__of'( X, 'tc_nat' ) ) ), 'c_IntDef_Oiszero'(
% 1.18/1.55 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.18/1.55 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.18/1.55 'tc_IntDef_Oint' ) ],
% 1.18/1.55 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.18/1.55 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y,
% 1.18/1.55 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_Numeral_Onumber__of'( X,
% 1.18/1.55 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ],
% 1.18/1.55 [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.18/1.55 , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y,
% 1.18/1.55 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'(
% 1.18/1.55 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =(
% 1.18/1.55 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y,
% 1.18/1.55 'tc_nat' ) ) ],
% 1.18/1.55 [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.18/1.55 , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'(
% 1.18/1.55 'c_Numeral_Obin__add'( X, 'c_Numeral_Obin__minus'( Y ) ),
% 1.18/1.55 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'(
% 1.18/1.55 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =(
% 1.18/1.55 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y,
% 1.18/1.55 'tc_nat' ) ) ],
% 1.18/1.55 [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'(
% 1.18/1.55 Y, 'tc_nat' ) ) ), 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'(
% 1.18/1.55 'c_Numeral_Obin__add'( X, 'c_Numeral_Obin__minus'( Y ) ),
% 1.18/1.55 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_IntDef_Oneg'(
% 1.18/1.55 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.18/1.55 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.18/1.55 'tc_IntDef_Oint' ) ],
% 1.18/1.55 [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'(
% 1.18/1.55 X, 'c_Numeral_Obin__minus'( Y ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' )
% 1.18/1.55 ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ),
% 1.18/1.55 'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.18/1.55 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_Numeral_Onumber__of'( X,
% 1.18/1.55 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ],
% 1.18/1.55 [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.18/1.55 , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y,
% 1.18/1.56 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_IntDef_Oneg'(
% 1.18/1.56 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =(
% 1.18/1.56 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y,
% 1.18/1.56 'tc_nat' ) ) ],
% 1.18/1.56 [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.18/1.56 , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'(
% 1.18/1.56 'c_Numeral_Obin__add'( X, 'c_Numeral_Obin__minus'( Y ) ),
% 1.18/1.56 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_IntDef_Oneg'(
% 1.18/1.56 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =(
% 1.18/1.56 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y,
% 1.18/1.56 'tc_nat' ) ) ],
% 1.18/1.56 [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.18/1.56 , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y,
% 1.18/1.56 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =( 'c_Numeral_Onumber__of'( Y,
% 1.18/1.56 'tc_nat' ), 'c_Numeral_Onumber__of'( X, 'tc_nat' ) ) ],
% 1.18/1.56 [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.18/1.56 , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'(
% 1.18/1.56 'c_Numeral_Obin__add'( Y, 'c_Numeral_Obin__minus'( X ) ),
% 1.18/1.56 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_IntDef_Oneg'(
% 1.18/1.56 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =(
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_Numeral_Onumber__of'( X,
% 1.18/1.56 'tc_nat' ) ) ],
% 1.18/1.56 [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.18/1.56 , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( Y
% 1.18/1.56 , 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'(
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =(
% 1.18/1.56 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y,
% 1.18/1.56 'tc_nat' ) ) ],
% 1.18/1.56 [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.18/1.56 , 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( Y
% 1.18/1.56 , 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oiszero'(
% 1.18/1.56 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( X,
% 1.18/1.56 'c_Numeral_Obin__minus'( Y ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) )
% 1.18/1.56 , =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y,
% 1.18/1.56 'tc_nat' ) ) ],
% 1.18/1.56 [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ),
% 1.18/1.56 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.18/1.56 'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X,
% 1.18/1.56 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.18/1.56 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.18/1.56 'tc_IntDef_Oint' ) ), =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' )
% 1.18/1.56 ],
% 1.18/1.56 [ ~( 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' )
% 1.18/1.56 , 'tc_IntDef_Oint' ) ), =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0'
% 1.18/1.56 ) ],
% 1.18/1.56 [ =( 'c_IntDef_Oint'( 'c_plus'( X, Y, 'tc_nat' ) ), 'c_plus'(
% 1.18/1.56 'c_IntDef_Oint'( X ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ) ],
% 1.18/1.56 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.18/1.56 'tc_IntDef_Oint' ) ), =( 'c_IntDef_Oint'( 'c_Numeral_Onumber__of'( X,
% 1.18/1.56 'tc_nat' ) ), 'c_0' ) ],
% 1.18/1.56 [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.18/1.56 'tc_IntDef_Oint' ), =( 'c_IntDef_Oint'( 'c_Numeral_Onumber__of'( X,
% 1.18/1.56 'tc_nat' ) ), 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ) ) ],
% 1.18/1.56 [ ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' )
% 1.18/1.56 ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__minus'( X
% 1.18/1.56 ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.18/1.56 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__minus'(
% 1.18/1.56 X ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_less'( 'c_0',
% 1.18/1.56 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ) ],
% 1.18/1.56 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.18/1.56 'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_nat' )
% 1.18/1.56 , 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), 'c_IntDef_Oneg'(
% 1.18/1.56 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__minus'( Y ), 'tc_IntDef_Oint' )
% 1.18/1.56 , 'tc_IntDef_Oint' ) ],
% 1.18/1.56 [ ~( 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), 'c_IntDef_Oneg'(
% 1.18/1.56 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ),
% 1.18/1.56 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( X,
% 1.18/1.56 'c_Numeral_Obin__minus'( Y ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( X
% 1.18/1.56 , 'c_Numeral_Obin__minus'( Y ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' )
% 1.18/1.56 ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.18/1.56 'tc_IntDef_Oint' ), 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ],
% 1.18/1.56 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.18/1.56 'tc_IntDef_Oint' ) ), ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'(
% 1.18/1.56 'c_Numeral_Obin__minus'( Y ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ),
% 1.18/1.56 'c_less'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'(
% 1.18/1.56 Y, 'tc_nat' ), 'tc_nat' ) ],
% 1.18/1.56 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( X
% 1.18/1.56 , 'c_Numeral_Obin__minus'( Y ) ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' )
% 1.18/1.56 ), ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__minus'(
% 1.18/1.56 Y ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), 'c_less'(
% 1.18/1.56 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y,
% 1.18/1.56 'tc_nat' ), 'tc_nat' ) ],
% 1.18/1.56 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.18/1.56 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X
% 1.18/1.56 , 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_0' )
% 1.18/1.56 ],
% 1.18/1.56 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.18/1.56 'tc_IntDef_Oint' ) ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y,
% 1.18/1.56 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_Divides_Oop_Amod'(
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_Numeral_Onumber__of'( X,
% 1.18/1.56 'tc_nat' ), 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ) ) ],
% 1.18/1.56 [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.18/1.56 'tc_IntDef_Oint' ), 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y,
% 1.18/1.56 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =( 'c_Divides_Oop_Amod'(
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_Numeral_Onumber__of'( X,
% 1.18/1.56 'tc_nat' ), 'tc_nat' ), 'c_IntDef_Onat'( 'c_Divides_Oop_Amod'(
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'(
% 1.18/1.56 X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ) ],
% 1.18/1.56 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.18/1.56 'tc_IntDef_Oint' ) ), =( 'c_times'( 'c_Numeral_Onumber__of'( X, 'tc_nat'
% 1.18/1.56 ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_0' ) ],
% 1.18/1.56 [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.18/1.56 'tc_IntDef_Oint' ), =( 'c_times'( 'c_Numeral_Onumber__of'( X, 'tc_nat' )
% 1.18/1.56 , 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ),
% 1.18/1.56 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__mult'( X, Y ), 'tc_nat' ) ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ =( 'c_IntDef_Onat'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ) ),
% 1.18/1.56 'c_Numeral_Onumber__of'( X, 'tc_nat' ) ) ],
% 1.18/1.56 [ =( 'c_Numeral_Onumber__of'( 'c_Numeral_OPls', 'tc_nat' ), 'c_0' ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ =( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.18/1.56 'c_Numeral_Obit_OB1' ), 'tc_nat' ), 'c_1' ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), =(
% 1.18/1.56 'c_NatArith_Oof__nat'( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0'
% 1.18/1.56 ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'c_IntDef_Oneg'(
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), =(
% 1.18/1.56 'c_NatArith_Oof__nat'( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ),
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ) ) ],
% 1.18/1.56 [ =( 'c_div'( 'c_Suc'( 'c_0' ), 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.18/1.56 'tc_nat' ), 'c_IntDef_Onat'( 'c_div'( 'c_1', 'c_Numeral_Onumber__of'( X,
% 1.18/1.56 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ) ],
% 1.18/1.56 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.18/1.56 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 'c_Suc'( 'c_0' ),
% 1.18/1.56 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ), 'c_Suc'( 'c_0' ) ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.18/1.56 'tc_IntDef_Oint' ), =( 'c_Divides_Oop_Amod'( 'c_Suc'( 'c_0' ),
% 1.18/1.56 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ), 'c_IntDef_Onat'(
% 1.18/1.56 'c_Divides_Oop_Amod'( 'c_1', 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint'
% 1.18/1.56 ), 'tc_IntDef_Oint' ) ) ) ],
% 1.18/1.56 [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( 'c_1',
% 1.18/1.56 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.18/1.56 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.18/1.56 'tc_nat' ), X ), 'c_1' ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~( 'class_Power_Orecpower'( X ) ),
% 1.18/1.56 =( 'c_Nat_Opower'( 'c_Numeral_Onumber__of'( Y, X ),
% 1.18/1.56 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.18/1.56 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.18/1.56 'tc_nat' ), X ), 'c_times'( 'c_Numeral_Onumber__of'( Y, X ),
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ), X ) ) ],
% 1.18/1.56 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( 'c_Nat_Opower'(
% 1.18/1.56 'c_uminus'( Y, X ), 'c_times'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.18/1.56 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.18/1.56 'c_Numeral_Obit_OB0' ), 'tc_nat' ), Z, 'tc_nat' ), X ), 'c_Nat_Opower'( Y
% 1.18/1.56 , 'c_times'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.18/1.56 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.18/1.56 'tc_nat' ), Z, 'tc_nat' ), X ) ) ],
% 1.18/1.56 [ ~( 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.18/1.56 'tc_IntDef_Oint' ) ), =( 'c_Nat_Opower'( 'c_Numeral_Onumber__of'( X,
% 1.18/1.56 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ),
% 1.18/1.56 'c_Nat_Opower'( 'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' )
% 1.18/1.56 ) ],
% 1.18/1.56 [ 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.18/1.56 'tc_IntDef_Oint' ), =( 'c_Nat_Opower'( 'c_Numeral_Onumber__of'( X,
% 1.18/1.56 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ),
% 1.18/1.56 'c_IntDef_Onat'( 'c_Nat_Opower'( 'c_Numeral_Onumber__of'( X,
% 1.18/1.56 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ),
% 1.18/1.56 'tc_IntDef_Oint' ) ) ) ],
% 1.18/1.56 [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( 'c_0',
% 1.18/1.56 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.18/1.56 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.18/1.56 'tc_nat' ), X ), 'c_0' ) ],
% 1.18/1.56 [ =( 'c_div'( 'c_Suc'( 'c_Suc'( 'c_Suc'( X ) ) ),
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_div'( 'c_plus'(
% 1.18/1.56 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.18/1.56 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB1' ),
% 1.18/1.56 'tc_nat' ), X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ),
% 1.18/1.56 'tc_nat' ) ) ],
% 1.18/1.56 [ =( 'c_Divides_Oop_Amod'( 'c_Suc'( 'c_Suc'( 'c_Suc'( X ) ) ),
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'c_Divides_Oop_Amod'(
% 1.18/1.56 'c_plus'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.18/1.56 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB1' ),
% 1.18/1.56 'tc_nat' ), X, 'tc_nat' ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ),
% 1.18/1.56 'tc_nat' ) ) ],
% 1.18/1.56 [ =( 'c_plus'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.18/1.56 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.18/1.56 'c_Numeral_Obit_OB0' ), 'tc_nat' ), X, 'tc_nat' ), 'c_Suc'( 'c_Suc'( X )
% 1.18/1.56 ) ) ],
% 1.18/1.56 [ =( 'c_plus'( X, 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.18/1.56 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.18/1.56 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ), 'c_Suc'( 'c_Suc'( X ) ) )
% 1.18/1.56 ],
% 1.18/1.56 [ =( 'c_div'( 'c_plus'( X, X, 'tc_nat' ), 'c_Numeral_Onumber__of'(
% 1.18/1.56 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.18/1.56 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ), X
% 1.18/1.56 ) ],
% 1.18/1.56 [ =( 'c_div'( 'c_Suc'( 'c_Suc'( X ) ), 'c_Numeral_Onumber__of'(
% 1.18/1.56 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.18/1.56 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ),
% 1.18/1.56 'c_Suc'( 'c_div'( X, 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.18/1.56 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.18/1.56 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ) ) ) ],
% 1.18/1.56 [ =( 'c_div'( X, 'c_Suc'( 'c_Suc'( 'c_Suc'( Y ) ) ), 'tc_nat' ), 'c_div'(
% 1.18/1.56 X, 'c_plus'( 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.18/1.56 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB1' ),
% 1.18/1.56 'tc_nat' ), Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_times'( 'c_divide'( Y,
% 1.18/1.56 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_Numeral_Onumber__of'( Z, X ), X
% 1.18/1.56 ) ), =( 'c_Numeral_Onumber__of'( Z, X ), 'c_0' ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_Numeral_Onumber__of'( Y
% 1.18/1.56 , X ), 'c_0' ) ), =( 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ), X )
% 1.18/1.56 , 'c_0' ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Numeral_Onumber__of'( Y, X
% 1.18/1.56 ), 'c_0' ), =( 'c_divide'( 'c_times'( Z, 'c_Numeral_Onumber__of'( Y, X )
% 1.18/1.56 , X ), 'c_Numeral_Onumber__of'( Y, X ), X ), Z ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_times'( 'c_0',
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'( Y, X ), X
% 1.18/1.56 ), 'c_0' ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'(
% 1.18/1.56 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ),
% 1.18/1.56 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ),
% 1.18/1.56 'c_lessequals'( 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'(
% 1.18/1.56 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ),
% 1.18/1.56 'c_lessequals'( 'c_0', Z, X ), 'c_lessequals'( 'c_0',
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'(
% 1.18/1.56 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ),
% 1.18/1.56 'c_lessequals'( Z, 'c_0', X ), 'c_lessequals'( 'c_Numeral_Onumber__of'( Y
% 1.18/1.56 , X ), 'c_0', X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'(
% 1.18/1.56 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ),
% 1.18/1.56 'c_lessequals'( Z, 'c_0', X ), 'c_lessequals'( 'c_0', Z, X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.18/1.56 'c_0', X ) ), ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ),
% 1.18/1.56 X ) ), 'c_lessequals'( 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X
% 1.18/1.56 ), 'c_0', X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.18/1.56 , Y, X ) ), ~( 'c_lessequals'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X
% 1.18/1.56 ) ), 'c_lessequals'( 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X )
% 1.18/1.56 , 'c_0', X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'( 'c_divide'( Z
% 1.18/1.56 , 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_lessequals'( Z,
% 1.18/1.56 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'(
% 1.18/1.56 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'(
% 1.18/1.56 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_lessequals'( 'c_times'( T
% 1.18/1.56 , 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'(
% 1.18/1.56 'c_divide'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), T, X ) ), 'c_less'(
% 1.18/1.56 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_less'(
% 1.18/1.56 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ), 'c_lessequals'( 'c_0', T, X
% 1.18/1.56 ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.18/1.56 , Y, X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ),
% 1.18/1.56 'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ), 'c_lessequals'(
% 1.18/1.56 'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X ), Y, X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'(
% 1.18/1.56 'c_times'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'(
% 1.18/1.56 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_lessequals'( 'c_divide'(
% 1.18/1.56 T, 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.18/1.56 , Y, X ) ), ~( 'c_lessequals'( 'c_times'( Y, 'c_Numeral_Onumber__of'( Z,
% 1.18/1.56 X ), X ), T, X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X )
% 1.18/1.56 , 'c_lessequals'( 'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X ), Y
% 1.18/1.56 , X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'( Z, 'c_times'(
% 1.18/1.56 T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_lessequals'(
% 1.18/1.56 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.18/1.56 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~(
% 1.18/1.56 'c_lessequals'( 'c_0', Z, X ) ), 'c_less'( 'c_Numeral_Onumber__of'( T, X
% 1.18/1.56 ), 'c_0', X ), 'c_lessequals'( 'c_divide'( Y, 'c_Numeral_Onumber__of'( T
% 1.18/1.56 , X ), X ), Z, X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( Z,
% 1.18/1.56 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), ~(
% 1.18/1.56 'c_lessequals'( 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X
% 1.18/1.56 ) ), 'c_lessequals'( 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ), X )
% 1.18/1.56 , T, X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.18/1.56 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~(
% 1.18/1.56 'c_lessequals'( 'c_0', Z, X ) ), ~( 'c_lessequals'( 'c_times'( Z,
% 1.18/1.56 'c_Numeral_Onumber__of'( T, X ), X ), Y, X ) ), 'c_lessequals'(
% 1.18/1.56 'c_divide'( Y, 'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'(
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ), 'c_less'( 'c_0',
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'( 'c_Numeral_Onumber__of'(
% 1.18/1.56 Y, X ), 'c_0', X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'(
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ), 'c_less'( 'c_0', Z
% 1.18/1.56 , X ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'(
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ), 'c_less'( Z, 'c_0'
% 1.18/1.56 , X ), 'c_less'( 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'(
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_0', X ) ), 'c_less'( Z, 'c_0'
% 1.18/1.56 , X ), 'c_less'( 'c_0', Z, X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.18/1.56 ) ), ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ) ),
% 1.18/1.56 'c_less'( 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X ), 'c_0', X )
% 1.18/1.56 ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.18/1.56 ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ),
% 1.18/1.56 'c_less'( 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X ), 'c_0', X )
% 1.18/1.56 ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_less'( 'c_divide'( Z,
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'( Z, 'c_times'( T
% 1.18/1.56 , 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_less'( 'c_divide'( Z
% 1.18/1.56 , 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'( 'c_0',
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'( 'c_times'( T,
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'(
% 1.18/1.56 Y, 'c_Numeral_Onumber__of'( Z, X ), X ), T, X ) ), 'c_less'( 'c_0', T, X
% 1.18/1.56 ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_less'(
% 1.18/1.56 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.18/1.56 ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_less'(
% 1.18/1.56 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ), 'c_less'( 'c_divide'( T,
% 1.18/1.56 'c_Numeral_Onumber__of'( Z, X ), X ), Y, X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_less'( 'c_times'( Z
% 1.18/1.56 , 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'( 'c_0',
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'( 'c_divide'( T,
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.18/1.56 ) ), ~( 'c_less'( 'c_times'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), T
% 1.18/1.56 , X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_less'(
% 1.18/1.56 'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X ), Y, X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.18/1.56 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'(
% 1.18/1.56 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ) ), 'c_less'( 'c_divide'( Y,
% 1.18/1.56 'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.18/1.56 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'(
% 1.18/1.56 'c_0', Z, X ) ), 'c_less'( 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ),
% 1.18/1.56 'c_less'( 'c_divide'( Y, 'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.18/1.56 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'(
% 1.18/1.56 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ), ~( 'c_less'( 'c_times'( Z
% 1.18/1.56 , 'c_Numeral_Onumber__of'( T, X ), X ), Y, X ) ), 'c_less'( 'c_divide'( Y
% 1.18/1.56 , 'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.18/1.56 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'(
% 1.18/1.56 'c_0', Z, X ) ), ~( 'c_less'( 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X
% 1.18/1.56 ), X ), Y, X ) ), 'c_less'( 'c_divide'( Y, 'c_Numeral_Onumber__of'( T, X
% 1.18/1.56 ), X ), Z, X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y,
% 1.18/1.56 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), X ), 'c_uminus'( Y, X ) )
% 1.18/1.56 ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Numeral_Onumber__of'( Y, X
% 1.18/1.56 ), 'c_0' ), =( 'c_times'( 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X )
% 1.18/1.56 , X ), 'c_Numeral_Onumber__of'( Y, X ), X ), Z ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_Numeral_Onumber__of'( Y
% 1.18/1.56 , X ), 'c_0' ) ), =( 'c_0', 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X
% 1.18/1.56 ), X ) ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_divide'( 'c_times'( Y,
% 1.18/1.56 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_Numeral_Onumber__of'( Z, X ), X
% 1.18/1.56 ) ), =( 'c_Numeral_Onumber__of'( Z, X ), 'c_0' ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_0', 'c_divide'( 'c_times'(
% 1.18/1.56 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'( Y,
% 1.18/1.56 X ), X ) ) ],
% 1.18/1.56 [ ~( 'class_HOL_Oone'( X ) ), ~( 'class_OrderedGroup_Oab__group__add'( X
% 1.18/1.56 ) ), ~( =( 'c_uminus'( Y, X ), 'c_1' ) ), =( Y, 'c_uminus'( 'c_1', X ) )
% 1.18/1.56 ],
% 1.18/1.56 [ ~( 'class_HOL_Oone'( X ) ), ~( 'class_OrderedGroup_Oab__group__add'( X
% 1.18/1.56 ) ), =( 'c_uminus'( 'c_uminus'( 'c_1', X ), X ), 'c_1' ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ), 'c_uminus'( Z, X ) ) ), =( Z, 'c_uminus'(
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ), X ) ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_Numeral_Onumber__of'(
% 1.18/1.56 Y, X ), 'c_uminus'( 'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), X )
% 1.18/1.56 ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.18/1.56 ) ), 'c_less'( 'c_0', 'c_divide'( Y, 'c_Numeral_Onumber__of'(
% 1.18/1.56 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.18/1.56 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), X ), X ), X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~( 'class_Ring__and__Field_Ofield'(
% 1.18/1.56 X ) ), =( 'c_HOL_Oinverse'( 'c_Numeral_Onumber__of'( Y, X ), X ),
% 1.18/1.56 'c_divide'( 'c_1', 'c_Numeral_Onumber__of'( Y, X ), X ) ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'( Z, 'c_divide'(
% 1.18/1.56 T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_lessequals'( 'c_times'(
% 1.18/1.56 Z, 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( Z,
% 1.18/1.56 'c_divide'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_less'(
% 1.18/1.56 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_lessequals'( T, 'c_times'(
% 1.18/1.56 Z, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.18/1.56 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), 'c_less'(
% 1.18/1.56 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ), 'c_less'(
% 1.18/1.56 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ), 'c_lessequals'( Y, 'c_0', X
% 1.18/1.56 ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.18/1.56 'c_0', X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ),
% 1.18/1.56 'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ), 'c_lessequals'( Y
% 1.18/1.56 , 'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X ), X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( Z,
% 1.18/1.56 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_less'(
% 1.18/1.56 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_lessequals'( T,
% 1.18/1.56 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.18/1.56 'c_0', X ) ), ~( 'c_lessequals'( Z, 'c_times'( Y, 'c_Numeral_Onumber__of'(
% 1.18/1.56 T, X ), X ), X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X )
% 1.18/1.56 , 'c_lessequals'( Y, 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X )
% 1.18/1.56 , X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'( 'c_times'( Z,
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_lessequals'( Z,
% 1.18/1.56 'c_divide'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.18/1.56 'c_0', X ) ), ~( 'c_lessequals'( 'c_times'( Y, 'c_Numeral_Onumber__of'( Z
% 1.18/1.56 , X ), X ), T, X ) ), 'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X
% 1.18/1.56 ), 'c_lessequals'( Y, 'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X
% 1.18/1.56 ), X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'( Z,
% 1.18/1.56 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), ~(
% 1.18/1.56 'c_lessequals'( 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X
% 1.18/1.56 ) ), 'c_lessequals'( T, 'c_divide'( Z, 'c_Numeral_Onumber__of'( Y, X ),
% 1.18/1.56 X ), X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.18/1.56 'c_0', X ) ), ~( 'c_lessequals'( Z, 'c_times'( Y, 'c_Numeral_Onumber__of'(
% 1.18/1.56 T, X ), X ), X ) ), ~( 'c_lessequals'( 'c_times'( Y,
% 1.18/1.56 'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ), 'c_lessequals'( Y,
% 1.18/1.56 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ],
% 1.18/1.56 [ ~( 'class_HOL_Oone'( X ) ), ~(
% 1.18/1.56 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'(
% 1.18/1.56 'c_1', 'c_uminus'( Y, X ), X ) ), 'c_lessequals'( Y, 'c_uminus'( 'c_1', X
% 1.18/1.56 ), X ) ],
% 1.18/1.56 [ ~( 'class_HOL_Oone'( X ) ), ~(
% 1.18/1.56 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'(
% 1.18/1.56 Y, 'c_uminus'( 'c_1', X ), X ) ), 'c_lessequals'( 'c_1', 'c_uminus'( Y, X
% 1.18/1.56 ), X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'(
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ), 'c_uminus'( Z, X ), X ) ),
% 1.18/1.56 'c_lessequals'( Z, 'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), X )
% 1.18/1.56 ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'(
% 1.18/1.56 Y, 'c_uminus'( 'c_Numeral_Onumber__of'( Z, X ), X ), X ) ),
% 1.18/1.56 'c_lessequals'( 'c_Numeral_Onumber__of'( Z, X ), 'c_uminus'( Y, X ), X )
% 1.18/1.56 ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~( 'class_Ring__and__Field_Oring'(
% 1.18/1.56 X ) ), =( 'c_times'( 'c_minus'( Y, Z, X ), 'c_Numeral_Onumber__of'( T, X
% 1.18/1.56 ), X ), 'c_minus'( 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X ),
% 1.18/1.56 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Osemiring'( X ) ), =( 'c_times'( 'c_plus'( Y, Z,
% 1.18/1.56 X ), 'c_Numeral_Onumber__of'( T, X ), X ), 'c_plus'( 'c_times'( Y,
% 1.18/1.56 'c_Numeral_Onumber__of'( T, X ), X ), 'c_times'( Z,
% 1.18/1.56 'c_Numeral_Onumber__of'( T, X ), X ), X ) ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.18/1.56 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'(
% 1.18/1.56 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ) ), 'c_less'( 'c_times'( Y,
% 1.18/1.56 'c_Numeral_Onumber__of'( T, X ), X ), Z, X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.18/1.56 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'(
% 1.18/1.56 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ), 'c_less'( Z, 'c_times'( Y
% 1.18/1.56 , 'c_Numeral_Onumber__of'( T, X ), X ), X ), 'c_less'( 'c_0',
% 1.18/1.56 'c_Numeral_Onumber__of'( T, X ), X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.18/1.56 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), 'c_less'( Y,
% 1.18/1.56 'c_0', X ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ),
% 1.18/1.56 'c_less'( 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.18/1.56 ) ), 'c_less'( Y, 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X
% 1.18/1.56 ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ), 'c_less'(
% 1.18/1.56 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.18/1.56 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'(
% 1.18/1.56 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ), 'c_less'( Z, 'c_divide'( Y
% 1.18/1.56 , 'c_Numeral_Onumber__of'( T, X ), X ), X ), 'c_less'( 'c_0',
% 1.18/1.56 'c_Numeral_Onumber__of'( T, X ), X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.18/1.56 ) ), ~( 'c_less'( Z, 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X )
% 1.18/1.56 , X ) ), 'c_less'( Y, 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ), X )
% 1.18/1.56 , X ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_less'( 'c_times'( Z,
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ), X ), T, X ) ), 'c_less'( Z, 'c_divide'(
% 1.18/1.56 T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.18/1.56 ) ), ~( 'c_less'( 'c_times'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), T
% 1.18/1.56 , X ) ), 'c_less'( Y, 'c_divide'( T, 'c_Numeral_Onumber__of'( Z, X ), X )
% 1.18/1.56 , X ), 'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.18/1.56 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ), ~( 'c_less'(
% 1.18/1.56 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ), ~( 'c_less'( 'c_times'( Z
% 1.18/1.56 , 'c_Numeral_Onumber__of'( T, X ), X ), Y, X ) ), 'c_less'( Z, 'c_divide'(
% 1.18/1.56 Y, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.18/1.56 ) ), ~( 'c_less'( Z, 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X )
% 1.18/1.56 , X ) ), ~( 'c_less'( 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X )
% 1.18/1.56 , Z, X ) ), 'c_less'( Y, 'c_divide'( Z, 'c_Numeral_Onumber__of'( T, X ),
% 1.18/1.56 X ), X ) ],
% 1.18/1.56 [ ~( 'class_HOL_Oone'( X ) ), ~(
% 1.18/1.56 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( 'c_1'
% 1.18/1.56 , 'c_uminus'( Y, X ), X ) ), 'c_less'( Y, 'c_uminus'( 'c_1', X ), X ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ ~( 'class_HOL_Oone'( X ) ), ~(
% 1.18/1.56 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( Y,
% 1.18/1.56 'c_uminus'( 'c_1', X ), X ) ), 'c_less'( 'c_1', 'c_uminus'( Y, X ), X ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ), 'c_uminus'( Z, X ), X ) ), 'c_less'( Z,
% 1.18/1.56 'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'( Y,
% 1.18/1.56 'c_uminus'( 'c_Numeral_Onumber__of'( Z, X ), X ), X ) ), 'c_less'(
% 1.18/1.56 'c_Numeral_Onumber__of'( Z, X ), 'c_uminus'( Y, X ), X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'(
% 1.18/1.56 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), Y, X ), 'c_uminus'(
% 1.18/1.56 'c_divide'( 'c_1', Y, X ), X ) ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 'c_uminus'( Y, X ),
% 1.18/1.56 'c_Numeral_Onumber__of'( Z, X ) ) ), =( 'c_uminus'(
% 1.18/1.56 'c_Numeral_Onumber__of'( Z, X ), X ), Y ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_uminus'( 'c_uminus'(
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ), X ), X ), 'c_Numeral_Onumber__of'( Y, X
% 1.18/1.56 ) ) ],
% 1.18/1.56 [ ~( 'class_HOL_Oone'( X ) ), ~(
% 1.18/1.56 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'(
% 1.18/1.56 'c_uminus'( Y, X ), 'c_1', X ) ), 'c_lessequals'( 'c_uminus'( 'c_1', X )
% 1.18/1.56 , Y, X ) ],
% 1.18/1.56 [ ~( 'class_HOL_Oone'( X ) ), ~(
% 1.18/1.56 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'(
% 1.18/1.56 'c_uminus'( 'c_1', X ), Y, X ) ), 'c_lessequals'( 'c_uminus'( Y, X ),
% 1.18/1.56 'c_1', X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'(
% 1.18/1.56 'c_uminus'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ) ),
% 1.18/1.56 'c_lessequals'( 'c_uminus'( 'c_Numeral_Onumber__of'( Z, X ), X ), Y, X )
% 1.18/1.56 ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_lessequals'(
% 1.18/1.56 'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ),
% 1.18/1.56 'c_lessequals'( 'c_uminus'( Z, X ), 'c_Numeral_Onumber__of'( Y, X ), X )
% 1.18/1.56 ],
% 1.18/1.56 [ ~( 'class_HOL_Oone'( X ) ), ~(
% 1.18/1.56 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.18/1.56 'c_uminus'( Y, X ), 'c_1', X ) ), 'c_less'( 'c_uminus'( 'c_1', X ), Y, X
% 1.18/1.56 ) ],
% 1.18/1.56 [ ~( 'class_HOL_Oone'( X ) ), ~(
% 1.18/1.56 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.18/1.56 'c_uminus'( 'c_1', X ), Y, X ) ), 'c_less'( 'c_uminus'( Y, X ), 'c_1', X
% 1.18/1.56 ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.18/1.56 'c_uminus'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ) ), 'c_less'(
% 1.18/1.56 'c_uminus'( 'c_Numeral_Onumber__of'( Z, X ), X ), Y, X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.18/1.56 'c_uminus'( 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ) ), 'c_less'(
% 1.18/1.56 'c_uminus'( Z, X ), 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.18/1.56 [ =( 'c_Divides_Oop_Amod'( 'c_Suc'( 'c_Suc'( X ) ),
% 1.18/1.56 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.18/1.56 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.18/1.56 'tc_nat' ), 'tc_nat' ), 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'(
% 1.18/1.56 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.18/1.56 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ) )
% 1.18/1.56 ],
% 1.18/1.56 [ ~( 'c_less'( 'c_0', 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'(
% 1.18/1.56 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.18/1.56 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ),
% 1.18/1.56 'tc_nat' ) ), =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'(
% 1.18/1.56 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.18/1.56 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ),
% 1.18/1.56 'c_1' ) ],
% 1.18/1.56 [ ~( =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'(
% 1.18/1.56 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.18/1.56 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_nat' ), 'tc_nat' ),
% 1.18/1.56 'c_1' ) ), 'c_less'( 'c_0', 'c_Divides_Oop_Amod'( X,
% 1.18/1.56 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.18/1.56 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.18/1.56 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ],
% 1.18/1.56 [ =( 'c_Divides_Oop_Amod'( X, 'c_Suc'( 'c_Suc'( 'c_Suc'( Y ) ) ),
% 1.18/1.56 'tc_nat' ), 'c_Divides_Oop_Amod'( X, 'c_plus'( 'c_Numeral_Onumber__of'(
% 1.18/1.56 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.18/1.56 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB1' ), 'tc_nat' ), Y, 'tc_nat' )
% 1.18/1.56 , 'tc_nat' ) ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'(
% 1.18/1.56 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'(
% 1.18/1.56 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'(
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ), 'c_lessequals'( Z, T, X )
% 1.18/1.56 ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'(
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'(
% 1.18/1.56 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'(
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ), 'c_lessequals'( T, Z, X )
% 1.18/1.56 ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 'c_less'( 'c_0',
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'( 'c_Numeral_Onumber__of'(
% 1.18/1.56 Y, X ), 'c_0', X ), 'c_lessequals'( 'c_times'( 'c_Numeral_Onumber__of'( Y
% 1.18/1.56 , X ), Z, X ), 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'(
% 1.18/1.56 Y, Z, X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ),
% 1.18/1.56 'c_lessequals'( 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Z, X ),
% 1.18/1.56 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Y, X ), X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'(
% 1.18/1.56 Y, Z, X ) ), 'c_less'( 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ),
% 1.18/1.56 'c_lessequals'( 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Y, X ),
% 1.18/1.56 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Z, X ), X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'(
% 1.18/1.56 Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ), 'c_lessequals'( 'c_times'(
% 1.18/1.56 'c_Numeral_Onumber__of'( T, X ), Z, X ), 'c_times'(
% 1.18/1.56 'c_Numeral_Onumber__of'( T, X ), Y, X ), X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'(
% 1.18/1.56 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ), ~( 'c_lessequals'(
% 1.18/1.56 'c_times'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_times'( T,
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_lessequals'( Z, T, X ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'(
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), ~( 'c_lessequals'(
% 1.18/1.56 'c_times'( Z, 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_times'( T,
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ), 'c_lessequals'( T, Z, X ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 'c_less'( 'c_0',
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'( 'c_Numeral_Onumber__of'(
% 1.18/1.56 Y, X ), 'c_0', X ), 'c_lessequals'( 'c_times'( Z, 'c_Numeral_Onumber__of'(
% 1.18/1.56 Y, X ), X ), 'c_times'( T, 'c_Numeral_Onumber__of'( Y, X ), X ), X ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'(
% 1.18/1.56 Y, Z, X ) ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ),
% 1.18/1.56 'c_lessequals'( 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ),
% 1.18/1.56 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'(
% 1.18/1.56 Y, Z, X ) ), 'c_less'( 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ),
% 1.18/1.56 'c_lessequals'( 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X ),
% 1.18/1.56 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_lessequals'(
% 1.18/1.56 Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ), 'c_lessequals'( 'c_times'( Z
% 1.18/1.56 , 'c_Numeral_Onumber__of'( T, X ), X ), 'c_times'( Y,
% 1.18/1.56 'c_Numeral_Onumber__of'( T, X ), X ), X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'(
% 1.18/1.56 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'(
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ), ~( 'c_lessequals'( 'c_0'
% 1.18/1.56 , 'c_Numeral_Onumber__of'( Y, X ), X ) ), 'c_less'( Z, T, X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'(
% 1.18/1.56 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'(
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ), ~( 'c_lessequals'(
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), 'c_less'( T, Z, X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 'c_less'(
% 1.18/1.56 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'(
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ), 'c_lessequals'( 'c_0',
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_lessequals'(
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.18/1.56 , X ) ), 'c_less'( 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Z, X ),
% 1.18/1.56 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Y, X ), X ), 'c_lessequals'(
% 1.18/1.56 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.18/1.56 , X ) ), 'c_less'( 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Y, X ),
% 1.18/1.56 'c_times'( 'c_Numeral_Onumber__of'( T, X ), Z, X ), X ), 'c_lessequals'(
% 1.18/1.56 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.18/1.56 , X ) ), ~( 'c_less'( Z, Y, X ) ), 'c_less'( 'c_times'(
% 1.18/1.56 'c_Numeral_Onumber__of'( T, X ), Z, X ), 'c_times'(
% 1.18/1.56 'c_Numeral_Onumber__of'( T, X ), Y, X ), X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'(
% 1.18/1.56 'c_times'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_times'( T,
% 1.18/1.56 'c_Numeral_Onumber__of'( Z, X ), X ), X ) ), ~( 'c_lessequals'( 'c_0',
% 1.18/1.56 'c_Numeral_Onumber__of'( Z, X ), X ) ), 'c_less'( Y, T, X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'(
% 1.18/1.56 'c_times'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_times'( T,
% 1.18/1.56 'c_Numeral_Onumber__of'( Z, X ), X ), X ) ), ~( 'c_lessequals'(
% 1.18/1.56 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ), 'c_less'( T, Y, X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 'c_less'(
% 1.18/1.56 'c_times'( Y, 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_times'( T,
% 1.18/1.56 'c_Numeral_Onumber__of'( Z, X ), X ), X ), 'c_lessequals'( 'c_0',
% 1.18/1.56 'c_Numeral_Onumber__of'( Z, X ), X ), 'c_lessequals'(
% 1.18/1.56 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.18/1.56 , X ) ), 'c_less'( 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ),
% 1.18/1.56 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X ), X ), 'c_lessequals'(
% 1.18/1.56 'c_0', 'c_Numeral_Onumber__of'( T, X ), X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.18/1.56 , X ) ), 'c_less'( 'c_times'( Y, 'c_Numeral_Onumber__of'( T, X ), X ),
% 1.18/1.56 'c_times'( Z, 'c_Numeral_Onumber__of'( T, X ), X ), X ), 'c_lessequals'(
% 1.18/1.56 'c_Numeral_Onumber__of'( T, X ), 'c_0', X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 'c_less'( Y, Z
% 1.18/1.56 , X ) ), ~( 'c_less'( Z, Y, X ) ), 'c_less'( 'c_times'( Z,
% 1.18/1.56 'c_Numeral_Onumber__of'( T, X ), X ), 'c_times'( Y,
% 1.18/1.56 'c_Numeral_Onumber__of'( T, X ), X ), X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~( 'class_Ring__and__Field_Oring'(
% 1.18/1.56 X ) ), =( 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), 'c_minus'( Z, T, X
% 1.18/1.56 ), X ), 'c_minus'( 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ),
% 1.18/1.56 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Osemiring'( X ) ), =( 'c_times'(
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ), 'c_plus'( Z, T, X ), X ), 'c_plus'(
% 1.18/1.56 'c_times'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), 'c_times'(
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ), T, X ), X ) ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.18/1.56 , 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ),
% 1.18/1.56 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ),
% 1.18/1.56 'c_lessequals'( 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.18/1.56 , 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ),
% 1.18/1.56 'c_lessequals'( Z, 'c_0', X ), 'c_lessequals'( 'c_0',
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.18/1.56 , 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ),
% 1.18/1.56 'c_lessequals'( 'c_0', Z, X ), 'c_lessequals'( 'c_Numeral_Onumber__of'( Y
% 1.18/1.56 , X ), 'c_0', X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.18/1.56 , 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ),
% 1.18/1.56 'c_lessequals'( Z, 'c_0', X ), 'c_lessequals'( 'c_0', Z, X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.18/1.56 , Y, X ) ), ~( 'c_lessequals'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X
% 1.18/1.56 ) ), 'c_lessequals'( 'c_0', 'c_divide'( 'c_Numeral_Onumber__of'( Z, X )
% 1.18/1.56 , Y, X ), X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.18/1.56 'c_0', X ) ), ~( 'c_lessequals'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0',
% 1.18/1.56 X ) ), 'c_lessequals'( 'c_0', 'c_divide'( 'c_Numeral_Onumber__of'( Z, X )
% 1.18/1.56 , Y, X ), X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.18/1.56 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 'c_less'(
% 1.18/1.56 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_less'(
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.18/1.56 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 'c_less'( Z,
% 1.18/1.56 'c_0', X ), 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.18/1.56 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 'c_less'(
% 1.18/1.56 'c_0', Z, X ), 'c_less'( 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.18/1.56 'c_divide'( 'c_Numeral_Onumber__of'( Y, X ), Z, X ), X ) ), 'c_less'( Z,
% 1.18/1.56 'c_0', X ), 'c_less'( 'c_0', Z, X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.18/1.56 ) ), ~( 'c_less'( 'c_0', 'c_Numeral_Onumber__of'( Z, X ), X ) ),
% 1.18/1.56 'c_less'( 'c_0', 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X ), X )
% 1.18/1.56 ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.18/1.56 ) ), ~( 'c_less'( 'c_Numeral_Onumber__of'( Z, X ), 'c_0', X ) ),
% 1.18/1.56 'c_less'( 'c_0', 'c_divide'( 'c_Numeral_Onumber__of'( Z, X ), Y, X ), X )
% 1.18/1.56 ],
% 1.18/1.56 [ =( 'c_1', 'c_Suc'( 'c_0' ) ) ],
% 1.18/1.56 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 1.18/1.56 [ =( 'c_minus'( 'c_minus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'( Z ),
% 1.18/1.56 'tc_nat' ), 'c_minus'( 'c_minus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ) ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ ~( 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ),
% 1.18/1.56 'c_lessequals'( X, Y, 'tc_nat' ) ],
% 1.18/1.56 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 'c_Suc'( X ),
% 1.18/1.56 'c_Suc'( Y ), 'tc_nat' ) ],
% 1.18/1.56 [ ~( 'c_less'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ), 'c_less'( X, Y
% 1.18/1.56 , 'tc_nat' ) ],
% 1.18/1.56 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 'c_Suc'( X ), 'c_Suc'( Y )
% 1.18/1.56 , 'tc_nat' ) ],
% 1.18/1.56 [ ~( =( 'c_Suc'( X ), 'c_0' ) ) ],
% 1.18/1.56 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), =( 'c_Suc'( 'c_minus'( X, 'c_Suc'(
% 1.18/1.56 'c_0' ), 'tc_nat' ) ), X ) ],
% 1.18/1.56 [ ~( =( 'c_0', 'c_Suc'( X ) ) ) ],
% 1.18/1.56 [ =( 'c_plus'( X, 'c_0', 'tc_nat' ), X ) ],
% 1.18/1.56 [ =( 'c_plus'( X, 'c_Suc'( Y ), 'tc_nat' ), 'c_Suc'( 'c_plus'( X, Y,
% 1.18/1.56 'tc_nat' ) ) ) ],
% 1.18/1.56 [ ~( 'c_less'( 'c_0', 'c_plus'( X, Y, 'tc_nat' ), 'tc_nat' ) ), 'c_less'(
% 1.18/1.56 'c_0', Y, 'tc_nat' ), 'c_less'( 'c_0', X, 'tc_nat' ) ],
% 1.18/1.56 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_plus'( X, Y,
% 1.18/1.56 'tc_nat' ), 'tc_nat' ) ],
% 1.18/1.56 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_plus'( Y, X,
% 1.18/1.56 'tc_nat' ), 'tc_nat' ) ],
% 1.18/1.56 [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_0' ) ), =( X, 'c_0' ) ],
% 1.18/1.56 [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.18/1.56 [ =( 'c_plus'( 'c_0', 'c_0', 'tc_nat' ), 'c_0' ) ],
% 1.18/1.56 [ =( 'c_minus'( 'c_0', X, 'tc_nat' ), 'c_0' ) ],
% 1.18/1.56 [ =( 'c_minus'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), 'c_minus'( X, Y
% 1.18/1.56 , 'tc_nat' ) ) ],
% 1.18/1.56 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_minus'( X, 'c_Suc'(
% 1.18/1.56 Y ), 'tc_nat' ), X, 'tc_nat' ) ],
% 1.18/1.56 [ =( 'c_minus'( 'c_minus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ), 'c_minus'( X
% 1.18/1.56 , 'c_plus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.18/1.56 [ ~( =( 'c_minus'( X, Y, 'tc_nat' ), 'c_0' ) ), 'c_lessequals'( X, Y,
% 1.18/1.56 'tc_nat' ) ],
% 1.18/1.56 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_minus'( X, Y, 'tc_nat' )
% 1.18/1.56 , 'c_0' ) ],
% 1.18/1.56 [ 'c_lessequals'( 'c_minus'( X, Y, 'tc_nat' ), X, 'tc_nat' ) ],
% 1.18/1.56 [ =( 'c_minus'( X, X, 'tc_nat' ), 'c_0' ) ],
% 1.18/1.56 [ ~( 'c_lessequals'( X, 'c_0', 'tc_nat' ) ), =( X, 'c_0' ) ],
% 1.18/1.56 [ 'c_lessequals'( 'c_0', 'c_0', 'tc_nat' ) ],
% 1.18/1.56 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_plus'( 'c_minus'( Y, X,
% 1.18/1.56 'tc_nat' ), X, 'tc_nat' ), Y ) ],
% 1.18/1.56 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( 'c_plus'( X, 'c_minus'( Y, X
% 1.18/1.56 , 'tc_nat' ), 'tc_nat' ), Y ) ],
% 1.18/1.56 [ ~( 'c_less'( X, 'c_Suc'( 'c_0' ), 'tc_nat' ) ), =( X, 'c_0' ) ],
% 1.18/1.56 [ 'c_less'( 'c_0', 'c_Suc'( 'c_0' ), 'tc_nat' ) ],
% 1.18/1.56 [ ~( 'c_less'( X, 'c_1', 'tc_nat' ) ), =( X, 'c_0' ) ],
% 1.18/1.56 [ 'c_less'( 'c_0', 'c_1', 'tc_nat' ) ],
% 1.18/1.56 [ =( 'c_Orderings_Omax'( 'c_0', X, 'tc_nat' ), X ) ],
% 1.18/1.56 [ =( 'c_Orderings_Omax'( X, 'c_0', 'tc_nat' ), X ) ],
% 1.18/1.56 [ =( 'c_Orderings_Omax'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), 'c_Suc'(
% 1.18/1.56 'c_Orderings_Omax'( X, Y, 'tc_nat' ) ) ) ],
% 1.18/1.56 [ =( 'c_Orderings_Omin'( 'c_0', X, 'tc_nat' ), 'c_0' ) ],
% 1.18/1.56 [ =( 'c_Orderings_Omin'( X, 'c_0', 'tc_nat' ), 'c_0' ) ],
% 1.18/1.56 [ =( 'c_Orderings_Omin'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), 'c_Suc'(
% 1.18/1.56 'c_Orderings_Omin'( X, Y, 'tc_nat' ) ) ) ],
% 1.18/1.56 [ =( 'c_times'( X, 'c_0', 'tc_nat' ), 'c_0' ) ],
% 1.18/1.56 [ =( 'c_times'( X, 'c_Suc'( Y ), 'tc_nat' ), 'c_plus'( X, 'c_times'( X,
% 1.18/1.56 Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.18/1.56 [ ~( =( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( X, Z, 'tc_nat' ) ) ),
% 1.18/1.56 =( Y, Z ), =( X, 'c_0' ) ],
% 1.18/1.56 [ =( 'c_times'( 'c_0', X, 'tc_nat' ), 'c_times'( 'c_0', Y, 'tc_nat' ) )
% 1.18/1.56 ],
% 1.18/1.56 [ ~( =( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( Z, Y, 'tc_nat' ) ) ),
% 1.18/1.56 =( X, Z ), =( Y, 'c_0' ) ],
% 1.18/1.56 [ =( 'c_times'( X, 'c_0', 'tc_nat' ), 'c_times'( Y, 'c_0', 'tc_nat' ) )
% 1.18/1.56 ],
% 1.18/1.56 [ ~( =( 'c_times'( X, Y, 'tc_nat' ), 'c_Suc'( 'c_0' ) ) ), =( X, 'c_1' )
% 1.18/1.56 ],
% 1.18/1.56 [ ~( =( 'c_times'( X, Y, 'tc_nat' ), 'c_Suc'( 'c_0' ) ) ), =( Y, 'c_1' )
% 1.18/1.56 ],
% 1.18/1.56 [ =( 'c_times'( 'c_1', 'c_1', 'tc_nat' ), 'c_Suc'( 'c_0' ) ) ],
% 1.18/1.56 [ ~( =( 'c_times'( X, Y, 'tc_nat' ), 'c_0' ) ), =( Y, 'c_0' ), =( X,
% 1.18/1.56 'c_0' ) ],
% 1.18/1.56 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_times'( X,
% 1.18/1.56 Y, 'tc_nat' ), 'c_times'( X, Z, 'tc_nat' ), 'tc_nat' ) ), 'c_lessequals'(
% 1.18/1.56 Y, Z, 'tc_nat' ) ],
% 1.18/1.56 [ 'c_less'( 'c_0', X, 'tc_nat' ), 'c_lessequals'( 'c_times'( X, Y,
% 1.18/1.56 'tc_nat' ), 'c_times'( X, Z, 'tc_nat' ), 'tc_nat' ) ],
% 1.18/1.56 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 'c_times'( Z, X
% 1.18/1.56 , 'tc_nat' ), 'c_times'( Z, Y, 'tc_nat' ), 'tc_nat' ) ],
% 1.18/1.56 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_times'( Y,
% 1.18/1.56 X, 'tc_nat' ), 'c_times'( Z, X, 'tc_nat' ), 'tc_nat' ) ), 'c_lessequals'(
% 1.18/1.56 Y, Z, 'tc_nat' ) ],
% 1.18/1.56 [ 'c_less'( 'c_0', X, 'tc_nat' ), 'c_lessequals'( 'c_times'( Y, X,
% 1.18/1.56 'tc_nat' ), 'c_times'( Z, X, 'tc_nat' ), 'tc_nat' ) ],
% 1.18/1.56 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 'c_times'( X, Z
% 1.18/1.56 , 'tc_nat' ), 'c_times'( Y, Z, 'tc_nat' ), 'tc_nat' ) ],
% 1.18/1.56 [ ~( 'c_less'( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( X, Z, 'tc_nat' )
% 1.18/1.56 , 'tc_nat' ) ), 'c_less'( 'c_0', X, 'tc_nat' ) ],
% 1.18/1.56 [ ~( 'c_less'( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( X, Z, 'tc_nat' )
% 1.18/1.56 , 'tc_nat' ) ), 'c_less'( Y, Z, 'tc_nat' ) ],
% 1.18/1.56 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), ~( 'c_less'( 'c_0', Z, 'tc_nat' ) ),
% 1.18/1.56 'c_less'( 'c_times'( Z, X, 'tc_nat' ), 'c_times'( Z, Y, 'tc_nat' ),
% 1.18/1.56 'tc_nat' ) ],
% 1.18/1.56 [ ~( 'c_less'( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( Z, Y, 'tc_nat' )
% 1.18/1.56 , 'tc_nat' ) ), 'c_less'( 'c_0', Y, 'tc_nat' ) ],
% 1.18/1.56 [ ~( 'c_less'( 'c_times'( X, Y, 'tc_nat' ), 'c_times'( Z, Y, 'tc_nat' )
% 1.18/1.56 , 'tc_nat' ) ), 'c_less'( X, Z, 'tc_nat' ) ],
% 1.18/1.56 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), ~( 'c_less'( 'c_0', Z, 'tc_nat' ) ),
% 1.18/1.56 'c_less'( 'c_times'( X, Z, 'tc_nat' ), 'c_times'( Y, Z, 'tc_nat' ),
% 1.18/1.56 'tc_nat' ) ],
% 1.18/1.56 [ ~( 'c_less'( 'c_0', 'c_times'( X, Y, 'tc_nat' ), 'tc_nat' ) ),
% 1.18/1.56 'c_less'( 'c_0', X, 'tc_nat' ) ],
% 1.18/1.56 [ ~( 'c_less'( 'c_0', 'c_times'( X, Y, 'tc_nat' ), 'tc_nat' ) ),
% 1.18/1.56 'c_less'( 'c_0', Y, 'tc_nat' ) ],
% 1.18/1.56 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), ~( 'c_less'( 'c_0', Y, 'tc_nat' )
% 1.18/1.56 ), 'c_less'( 'c_0', 'c_times'( Y, X, 'tc_nat' ), 'tc_nat' ) ],
% 1.18/1.56 [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_plus'( X, Z, 'tc_nat' ) ) ), =( Y
% 1.18/1.56 , Z ) ],
% 1.18/1.56 [ ~( 'c_lessequals'( 'c_plus'( X, Y, 'tc_nat' ), 'c_plus'( X, Z,
% 1.18/1.56 'tc_nat' ), 'tc_nat' ) ), 'c_lessequals'( Y, Z, 'tc_nat' ) ],
% 1.18/1.56 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), 'c_lessequals'( 'c_plus'( Z, X
% 1.18/1.56 , 'tc_nat' ), 'c_plus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ],
% 1.18/1.56 [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), 'c_plus'( X, Z, 'tc_nat' ),
% 1.18/1.56 'tc_nat' ) ), 'c_less'( Y, Z, 'tc_nat' ) ],
% 1.18/1.56 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 'c_plus'( Z, X, 'tc_nat' )
% 1.18/1.56 , 'c_plus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ],
% 1.18/1.56 [ ~( =( 'c_plus'( X, Y, 'tc_nat' ), 'c_plus'( Z, Y, 'tc_nat' ) ) ), =( X
% 1.18/1.56 , Z ) ],
% 1.18/1.56 [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.18/1.56 [ ~( 'c_less'( 'c_plus'( X, Y, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.18/1.56 [ 'c_less'( 'c_0', X, 'tc_nat' ), =( X, 'c_0' ) ],
% 1.18/1.56 [ ~( 'c_less'( 'c_0', 'c_0', 'tc_nat' ) ) ],
% 1.18/1.56 [ ~( 'c_less'( X, 'c_0', 'tc_nat' ) ) ],
% 1.18/1.56 [ ~( =( 'c_Suc'( 'c_0' ), 'c_times'( X, Y, 'tc_nat' ) ) ), =( X, 'c_1' )
% 1.18/1.56 ],
% 1.18/1.56 [ ~( =( 'c_Suc'( 'c_0' ), 'c_times'( X, Y, 'tc_nat' ) ) ), =( Y, 'c_1' )
% 1.18/1.56 ],
% 1.18/1.56 [ =( 'c_Suc'( 'c_0' ), 'c_times'( 'c_1', 'c_1', 'tc_nat' ) ) ],
% 1.18/1.56 [ ~( 'c_lessequals'( 'c_Suc'( 'c_0' ), 'c_times'( X, Y, 'tc_nat' ),
% 1.18/1.56 'tc_nat' ) ), 'c_lessequals'( 'c_1', X, 'tc_nat' ) ],
% 1.18/1.56 [ ~( 'c_lessequals'( 'c_Suc'( 'c_0' ), 'c_times'( X, Y, 'tc_nat' ),
% 1.18/1.56 'tc_nat' ) ), 'c_lessequals'( 'c_1', Y, 'tc_nat' ) ],
% 1.18/1.56 [ ~( 'c_lessequals'( 'c_1', X, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_1', Y
% 1.18/1.56 , 'tc_nat' ) ), 'c_lessequals'( 'c_Suc'( 'c_0' ), 'c_times'( Y, X,
% 1.18/1.56 'tc_nat' ), 'tc_nat' ) ],
% 1.18/1.56 [ =( 'c_times'( 'c_0', X, 'tc_nat' ), 'c_0' ) ],
% 1.18/1.56 [ =( 'c_times'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_plus'( Y, 'c_times'( X,
% 1.18/1.56 Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.18/1.56 [ =( 'c_plus'( 'c_0', X, 'tc_nat' ), X ) ],
% 1.18/1.56 [ =( 'c_plus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'( 'c_plus'( X, Y,
% 1.18/1.56 'tc_nat' ) ) ) ],
% 1.18/1.56 [ =( 'c_minus'( X, 'c_0', 'tc_nat' ), X ) ],
% 1.18/1.56 [ ~( 'c_less'( 'c_0', 'c_minus'( X, Y, 'tc_nat' ), 'tc_nat' ) ),
% 1.18/1.56 'c_less'( Y, X, 'tc_nat' ) ],
% 1.18/1.56 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_minus'( Y, X,
% 1.18/1.56 'tc_nat' ), 'tc_nat' ) ],
% 1.18/1.56 [ =( 'c_Numeral_OBit'( 'c_Numeral_OMin', 'c_Numeral_Obit_OB1' ),
% 1.18/1.56 'c_Numeral_OMin' ) ],
% 1.18/1.56 [ =( 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB0' ),
% 1.18/1.56 'c_Numeral_OPls' ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'(
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ), 'c_minus'( Z, 'c_Numeral_Onumber__of'( T
% 1.18/1.56 , X ), X ), X ), 'c_plus'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'(
% 1.18/1.56 Y, 'c_Numeral_Obin__minus'( T ) ), X ), Z, X ) ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'(
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ), 'c_plus'( 'c_Numeral_Onumber__of'( Z, X
% 1.18/1.56 ), T, X ), X ), 'c_plus'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'(
% 1.18/1.56 Y, Z ), X ), T, X ) ) ],
% 1.18/1.56 [ =( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' )
% 1.18/1.56 , 'c_Numeral_OBit'( Y, Z ) ), 'c_Numeral_OBit'( 'c_Numeral_Obin__add'( X
% 1.18/1.56 , Y ), Z ) ) ],
% 1.18/1.56 [ =( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB1' )
% 1.18/1.56 , 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB0' ) ), 'c_Numeral_OBit'(
% 1.18/1.56 'c_Numeral_Obin__add'( X, Y ), 'c_Numeral_Obit_OB1' ) ) ],
% 1.18/1.56 [ =( 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB1' )
% 1.18/1.56 , 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB1' ) ), 'c_Numeral_OBit'(
% 1.18/1.56 'c_Numeral_Obin__add'( X, 'c_Numeral_Obin__succ'( Y ) ),
% 1.18/1.56 'c_Numeral_Obit_OB0' ) ) ],
% 1.18/1.56 [ =( 'c_Numeral_Obin__add'( 'c_Numeral_OMin', X ),
% 1.18/1.56 'c_Numeral_Obin__pred'( X ) ) ],
% 1.18/1.56 [ =( 'c_Numeral_Obin__add'( X, 'c_Numeral_OMin' ),
% 1.18/1.56 'c_Numeral_Obin__pred'( X ) ) ],
% 1.18/1.56 [ =( 'c_Numeral_Obin__add'( 'c_Numeral_OPls', X ), X ) ],
% 1.18/1.56 [ =( 'c_Numeral_Obin__add'( X, 'c_Numeral_OPls' ), X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_plus'(
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ),
% 1.18/1.56 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y, Z ), X ) ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_uminus'(
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'(
% 1.18/1.56 'c_Numeral_Obin__minus'( Y ), X ) ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_uminus'( 'c_1', X ),
% 1.18/1.56 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ) ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_times'(
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ),
% 1.18/1.56 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__mult'( Y, Z ), X ) ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_minus'(
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ),
% 1.18/1.56 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.18/1.56 'c_Numeral_Obin__minus'( Z ) ), X ) ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'(
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ) ), =( 'c_HOL_Oabs'(
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_uminus'( 'c_Numeral_Onumber__of'(
% 1.18/1.56 Y, X ), X ) ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_less'(
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ), 'c_0', X ), =( 'c_HOL_Oabs'(
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ), X ), 'c_Numeral_Onumber__of'( Y, X ) ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ =( 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0'
% 1.18/1.56 ) ), 'c_Numeral_OBit'( 'c_Numeral_Obin__minus'( X ),
% 1.18/1.56 'c_Numeral_Obit_OB0' ) ) ],
% 1.18/1.56 [ =( 'c_Numeral_Obin__minus'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB1'
% 1.18/1.56 ) ), 'c_Numeral_OBit'( 'c_Numeral_Obin__pred'( 'c_Numeral_Obin__minus'(
% 1.18/1.56 X ) ), 'c_Numeral_Obit_OB1' ) ) ],
% 1.18/1.56 [ =( 'c_Numeral_Obin__minus'( 'c_Numeral_OMin' ), 'c_Numeral_OBit'(
% 1.18/1.56 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ) ) ],
% 1.18/1.56 [ =( 'c_Numeral_Obin__minus'( 'c_Numeral_OPls' ), 'c_Numeral_OPls' ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ =( 'c_Numeral_Obin__mult'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' )
% 1.18/1.56 , Y ), 'c_Numeral_OBit'( 'c_Numeral_Obin__mult'( X, Y ),
% 1.18/1.56 'c_Numeral_Obit_OB0' ) ) ],
% 1.18/1.56 [ =( 'c_Numeral_Obin__mult'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB1' )
% 1.18/1.56 , Y ), 'c_Numeral_Obin__add'( 'c_Numeral_OBit'( 'c_Numeral_Obin__mult'( X
% 1.18/1.56 , Y ), 'c_Numeral_Obit_OB0' ), Y ) ) ],
% 1.18/1.56 [ =( 'c_Numeral_Obin__mult'( 'c_Numeral_OMin', X ),
% 1.18/1.56 'c_Numeral_Obin__minus'( X ) ) ],
% 1.18/1.56 [ =( 'c_Numeral_Obin__mult'( 'c_Numeral_OPls', X ), 'c_Numeral_OPls' ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ =( 'c_Numeral_Obin__pred'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' )
% 1.18/1.56 ), 'c_Numeral_OBit'( 'c_Numeral_Obin__pred'( X ), 'c_Numeral_Obit_OB1' )
% 1.18/1.56 ) ],
% 1.18/1.56 [ =( 'c_Numeral_Obin__pred'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB1' )
% 1.18/1.56 ), 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' ) ) ],
% 1.18/1.56 [ =( 'c_Numeral_Obin__pred'( 'c_Numeral_OMin' ), 'c_Numeral_OBit'(
% 1.18/1.56 'c_Numeral_OMin', 'c_Numeral_Obit_OB0' ) ) ],
% 1.18/1.56 [ =( 'c_Numeral_Obin__pred'( 'c_Numeral_OPls' ), 'c_Numeral_OMin' ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ), ~(
% 1.18/1.56 'c_IntDef_Oiszero'( 'c_1', X ) ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'(
% 1.18/1.56 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.18/1.56 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, Z ), X ), X ) ),
% 1.18/1.56 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ), X ) ), 'c_IntDef_Oneg'(
% 1.18/1.56 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, Z ), X ), X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.18/1.56 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.18/1.56 'c_Numeral_Obin__minus'( Z ) ), X ), X ) ), ~( 'c_lessequals'(
% 1.18/1.56 'c_Numeral_Onumber__of'( Z, X ), 'c_Numeral_Onumber__of'( Y, X ), X ) ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_IntDef_Oneg'(
% 1.18/1.56 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.18/1.56 'c_Numeral_Obin__minus'( Z ) ), X ), X ), 'c_lessequals'(
% 1.18/1.56 'c_Numeral_Onumber__of'( Z, X ), 'c_Numeral_Onumber__of'( Y, X ), X ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( =( 'c_Numeral_Onumber__of'(
% 1.18/1.56 Y, X ), 'c_Numeral_Onumber__of'( Z, X ) ) ), 'c_IntDef_Oiszero'(
% 1.18/1.56 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.18/1.56 'c_Numeral_Obin__minus'( Z ) ), X ), X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'c_IntDef_Oiszero'(
% 1.18/1.56 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.18/1.56 'c_Numeral_Obin__minus'( Z ) ), X ), X ) ), =( 'c_Numeral_Onumber__of'( Y
% 1.18/1.56 , X ), 'c_Numeral_Onumber__of'( Z, X ) ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'c_IntDef_Oiszero'(
% 1.18/1.56 'c_Numeral_Onumber__of'( 'c_Numeral_OPls', X ), X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'c_IntDef_Oiszero'(
% 1.18/1.56 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), X ) ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oiszero'(
% 1.18/1.56 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB0' ), X )
% 1.18/1.56 , X ) ), 'c_IntDef_Oiszero'( 'c_Numeral_Onumber__of'( Y, X ), X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oiszero'(
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ), X ) ), 'c_IntDef_Oiszero'(
% 1.18/1.56 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB0' ), X )
% 1.18/1.56 , X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oiszero'(
% 1.18/1.56 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( Y, 'c_Numeral_Obit_OB1' ), X )
% 1.18/1.56 , X ) ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'(
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ) ),
% 1.18/1.56 'c_IntDef_Oneg'( 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.18/1.56 'c_Numeral_Obin__minus'( Z ) ), X ), X ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.18/1.56 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__add'( Y,
% 1.18/1.56 'c_Numeral_Obin__minus'( Z ) ), X ), X ) ), 'c_less'(
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ), 'c_Numeral_Onumber__of'( Z, X ), X ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.18/1.56 'c_Numeral_Onumber__of'( 'c_Numeral_OPls', X ), X ) ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.18/1.56 'c_0', X ) ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_IntDef_Oneg'(
% 1.18/1.56 'c_1', X ) ) ],
% 1.18/1.56 [ =( 'c_Numeral_Obin__succ'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB0' )
% 1.18/1.56 ), 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB1' ) ) ],
% 1.18/1.56 [ =( 'c_Numeral_Obin__succ'( 'c_Numeral_OBit'( X, 'c_Numeral_Obit_OB1' )
% 1.18/1.56 ), 'c_Numeral_OBit'( 'c_Numeral_Obin__succ'( X ), 'c_Numeral_Obit_OB0' )
% 1.18/1.56 ) ],
% 1.18/1.56 [ =( 'c_Numeral_Obin__succ'( 'c_Numeral_OMin' ), 'c_Numeral_OPls' ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ =( 'c_Numeral_Obin__succ'( 'c_Numeral_OPls' ), 'c_Numeral_OBit'(
% 1.18/1.56 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ) ) ],
% 1.18/1.56 [ =( 'c_Numeral_Obit_Obit__case'( X, Y, 'c_Numeral_Obit_OB0', Z ), X ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ =( 'c_Numeral_Obit_Obit__case'( X, Y, 'c_Numeral_Obit_OB1', Z ), Y ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ ~( =( 'c_Numeral_Obit_OB0', 'c_Numeral_Obit_OB1' ) ) ],
% 1.18/1.56 [ ~( =( 'c_Numeral_Obit_OB1', 'c_Numeral_Obit_OB0' ) ) ],
% 1.18/1.56 [ =( 'c_Numeral_Obit_Obit__rec'( X, Y, 'c_Numeral_Obit_OB0', Z ), X ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ =( 'c_Numeral_Obit_Obit__rec'( X, Y, 'c_Numeral_Obit_OB1', Z ), Y ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ =( 'c_Nat_Osize'( 'c_Numeral_Obit_OB0', 'tc_Numeral_Obit' ), 'c_0' ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ =( 'c_Nat_Osize'( 'c_Numeral_Obit_OB1', 'tc_Numeral_Obit' ), 'c_0' ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_times'( 'c_uminus'(
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ), X ), Z, X ), 'c_times'(
% 1.18/1.56 'c_Numeral_Onumber__of'( 'c_Numeral_Obin__minus'( Y ), X ), Z, X ) ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_times'(
% 1.18/1.56 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), Y, X ), 'c_uminus'( Y, X
% 1.18/1.56 ) ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_times'( Y,
% 1.18/1.56 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), X ), 'c_uminus'( Y, X ) )
% 1.18/1.56 ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_times'(
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, X ), 'c_times'( 'c_Numeral_Onumber__of'( Z, X
% 1.18/1.56 ), T, X ), X ), 'c_times'( 'c_Numeral_Onumber__of'(
% 1.18/1.56 'c_Numeral_Obin__mult'( Y, Z ), X ), T, X ) ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_Numeral_Onumber__of'(
% 1.18/1.56 'c_Numeral_OPls', X ), 'c_0' ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber__ring'( X ) ), =( 'c_Numeral_Onumber__of'(
% 1.18/1.56 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), X ), 'c_1' )
% 1.18/1.56 ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_plus'(
% 1.18/1.56 'c_uminus'( Y, X ), Y, X ), 'c_0' ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~( =( 'c_0'
% 1.18/1.56 , 'c_HOL_Oabs'( Y, X ) ) ), =( Y, 'c_0' ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), =( 'c_0',
% 1.18/1.56 'c_HOL_Oabs'( 'c_0', X ) ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), =(
% 1.18/1.56 'c_HOL_Oabs'( 'c_plus'( 'c_HOL_Oabs'( Y, X ), 'c_HOL_Oabs'( Z, X ), X ),
% 1.18/1.56 X ), 'c_plus'( 'c_HOL_Oabs'( Y, X ), 'c_HOL_Oabs'( Z, X ), X ) ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~( =(
% 1.18/1.56 'c_HOL_Oabs'( Y, X ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), =(
% 1.18/1.56 'c_HOL_Oabs'( 'c_0', X ), 'c_0' ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.18/1.56 'c_lessequals'( 'c_0', 'c_HOL_Oabs'( Y, X ), X ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), =(
% 1.18/1.56 'c_HOL_Oabs'( 'c_HOL_Oabs'( Y, X ), X ), 'c_HOL_Oabs'( Y, X ) ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~(
% 1.18/1.56 'c_lessequals'( 'c_HOL_Oabs'( Y, X ), 'c_0', X ) ), =( Y, 'c_0' ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.18/1.56 'c_lessequals'( 'c_HOL_Oabs'( 'c_0', X ), 'c_0', X ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), =(
% 1.18/1.56 'c_HOL_Oabs'( 'c_uminus'( Y, X ), X ), 'c_HOL_Oabs'( Y, X ) ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~( 'c_less'(
% 1.18/1.56 'c_HOL_Oabs'( Y, X ), 'c_0', X ) ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~(
% 1.18/1.56 'c_lessequals'( 'c_0', Y, X ) ), =( 'c_HOL_Oabs'( Y, X ), Y ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~(
% 1.18/1.56 'c_lessequals'( Y, 'c_0', X ) ), =( 'c_HOL_Oabs'( Y, X ), 'c_uminus'( Y,
% 1.18/1.56 X ) ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 'c_plus'( Y,
% 1.18/1.56 'c_0', X ), Y ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.18/1.56 , ~( 'c_lessequals'( 'c_plus'( Y, Z, X ), 'c_plus'( Y, T, X ), X ) ),
% 1.18/1.56 'c_lessequals'( Z, T, X ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.18/1.56 , ~( 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_plus'( T, Y, X ),
% 1.18/1.56 'c_plus'( T, Z, X ), X ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.18/1.56 , ~( 'c_lessequals'( 'c_plus'( Y, Z, X ), 'c_plus'( T, Z, X ), X ) ),
% 1.18/1.56 'c_lessequals'( Y, T, X ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.18/1.56 , ~( 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_plus'( Y, T, X ),
% 1.18/1.56 'c_plus'( Z, T, X ), X ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( 'c_plus'(
% 1.18/1.56 Y, Z, X ), 'c_plus'( Y, T, X ) ) ), =( Z, T ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.18/1.56 , ~( 'c_less'( 'c_plus'( Y, Z, X ), 'c_plus'( Y, T, X ), X ) ), 'c_less'(
% 1.18/1.56 Z, T, X ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.18/1.56 , ~( 'c_less'( Y, Z, X ) ), 'c_less'( 'c_plus'( T, Y, X ), 'c_plus'( T, Z
% 1.18/1.56 , X ), X ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.18/1.56 , ~( 'c_less'( 'c_plus'( Y, Z, X ), 'c_plus'( T, Z, X ), X ) ), 'c_less'(
% 1.18/1.56 Y, T, X ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.18/1.56 , ~( 'c_less'( Y, Z, X ) ), 'c_less'( 'c_plus'( Y, T, X ), 'c_plus'( Z, T
% 1.18/1.56 , X ), X ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( 'c_plus'(
% 1.18/1.56 Y, Z, X ), 'c_plus'( T, Z, X ) ) ), =( Y, T ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 'c_plus'( 'c_0'
% 1.18/1.56 , Y, X ), Y ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_minus'( 'c_0', Y
% 1.18/1.56 , X ), 'c_uminus'( Y, X ) ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_minus'( Y, 'c_0'
% 1.18/1.56 , X ), Y ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 'c_minus'( Y, Z
% 1.18/1.56 , X ), 'c_0' ) ), =( Y, Z ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 1.18/1.56 'c_lessequals'( 'c_minus'( Y, Z, X ), 'c_0', X ) ), 'c_lessequals'( Y, Z
% 1.18/1.56 , X ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 1.18/1.56 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_minus'( Y, Z, X ), 'c_0'
% 1.18/1.56 , X ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.18/1.56 'c_minus'( Y, Z, X ), 'c_0', X ) ), 'c_less'( Y, Z, X ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.18/1.56 Y, Z, X ) ), 'c_less'( 'c_minus'( Y, Z, X ), 'c_0', X ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_minus'( Y,
% 1.18/1.56 'c_uminus'( Z, X ), X ), 'c_plus'( Y, Z, X ) ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_minus'( Y, Y, X
% 1.18/1.56 ), 'c_0' ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'(
% 1.18/1.56 'c_plus'( Y, Y, X ), 'c_0', X ) ), 'c_lessequals'( Y, 'c_0', X ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'(
% 1.18/1.56 Y, 'c_0', X ) ), 'c_lessequals'( 'c_plus'( Y, Y, X ), 'c_0', X ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 1.18/1.56 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( 'c_plus'( Y, Y, X ),
% 1.18/1.56 'c_0', X ) ), 'c_less'( Y, 'c_0', X ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 1.18/1.56 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( Y, 'c_0', X ) ),
% 1.18/1.56 'c_less'( 'c_plus'( Y, Y, X ), 'c_0', X ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( =(
% 1.18/1.56 'c_LOrder_Ojoin'( Y, 'c_uminus'( Y, X ), X ), 'c_0' ) ), =( Y, 'c_0' ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =(
% 1.18/1.56 'c_LOrder_Ojoin'( 'c_0', 'c_uminus'( 'c_0', X ), X ), 'c_0' ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( =(
% 1.18/1.56 'c_LOrder_Omeet'( Y, 'c_uminus'( Y, X ), X ), 'c_0' ) ), =( Y, 'c_0' ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =(
% 1.18/1.56 'c_LOrder_Omeet'( 'c_0', 'c_uminus'( 'c_0', X ), X ), 'c_0' ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_uminus'(
% 1.18/1.56 'c_plus'( Y, Z, X ), X ), 'c_plus'( 'c_uminus'( Y, X ), 'c_uminus'( Z, X
% 1.18/1.56 ), X ) ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_uminus'(
% 1.18/1.56 'c_minus'( Y, Z, X ), X ), 'c_minus'( Z, Y, X ) ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_uminus'(
% 1.18/1.56 'c_uminus'( Y, X ), X ), Y ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 'c_times'( 'c_1', Y,
% 1.18/1.56 X ), Y ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 'c_times'( Y, 'c_1',
% 1.18/1.56 X ), Y ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 'c_0',
% 1.18/1.56 'c_uminus'( Y, X ) ) ), =( 'c_0', Y ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_0', 'c_uminus'(
% 1.18/1.56 'c_0', X ) ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 1.18/1.56 'c_lessequals'( 'c_0', 'c_uminus'( Y, X ), X ) ), 'c_lessequals'( Y,
% 1.18/1.56 'c_0', X ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 1.18/1.56 'c_lessequals'( Y, 'c_0', X ) ), 'c_lessequals'( 'c_0', 'c_uminus'( Y, X
% 1.18/1.56 ), X ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.18/1.56 'c_0', 'c_uminus'( Y, X ), X ) ), 'c_less'( Y, 'c_0', X ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.18/1.56 Y, 'c_0', X ) ), 'c_less'( 'c_0', 'c_uminus'( Y, X ), X ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 'c_uminus'( Y, X
% 1.18/1.56 ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_uminus'( 'c_0',
% 1.18/1.56 X ), 'c_0' ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 'c_uminus'( Y, X
% 1.18/1.56 ), 'c_uminus'( Z, X ) ) ), =( Y, Z ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =( 'c_uminus'(
% 1.18/1.56 'c_LOrder_Ojoin'( Y, Z, X ), X ), 'c_LOrder_Omeet'( 'c_uminus'( Y, X ),
% 1.18/1.56 'c_uminus'( Z, X ), X ) ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 1.18/1.56 'c_lessequals'( 'c_uminus'( Y, X ), 'c_0', X ) ), 'c_lessequals'( 'c_0',
% 1.18/1.56 Y, X ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 1.18/1.56 'c_lessequals'( 'c_0', Y, X ) ), 'c_lessequals'( 'c_uminus'( Y, X ),
% 1.18/1.56 'c_0', X ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 1.18/1.56 'c_lessequals'( 'c_uminus'( Y, X ), 'c_uminus'( Z, X ), X ) ),
% 1.18/1.56 'c_lessequals'( Z, Y, X ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~(
% 1.18/1.56 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_uminus'( Z, X ),
% 1.18/1.56 'c_uminus'( Y, X ), X ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.18/1.56 'c_uminus'( Y, X ), 'c_0', X ) ), 'c_less'( 'c_0', Y, X ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.18/1.56 'c_0', Y, X ) ), 'c_less'( 'c_uminus'( Y, X ), 'c_0', X ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.18/1.56 'c_uminus'( Y, X ), 'c_uminus'( Z, X ), X ) ), 'c_less'( Z, Y, X ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( 'c_less'(
% 1.18/1.56 Y, Z, X ) ), 'c_less'( 'c_uminus'( Z, X ), 'c_uminus'( Y, X ), X ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =( 'c_uminus'(
% 1.18/1.56 'c_LOrder_Omeet'( Y, Z, X ), X ), 'c_LOrder_Ojoin'( 'c_uminus'( Y, X ),
% 1.18/1.56 'c_uminus'( Z, X ), X ) ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =(
% 1.18/1.56 'c_OrderedGroup_Onprt'( 'c_0', X ), 'c_0' ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'(
% 1.18/1.56 'c_0', Y, X ) ), =( 'c_OrderedGroup_Onprt'( Y, X ), 'c_0' ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'(
% 1.18/1.56 Y, 'c_0', X ) ), =( 'c_OrderedGroup_Onprt'( Y, X ), Y ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 'c_lessequals'(
% 1.18/1.56 'c_OrderedGroup_Onprt'( Y, X ), 'c_0', X ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'(
% 1.18/1.56 Y, Z, X ) ), 'c_lessequals'( 'c_OrderedGroup_Onprt'( Y, X ),
% 1.18/1.56 'c_OrderedGroup_Onprt'( Z, X ), X ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), =(
% 1.18/1.56 'c_OrderedGroup_Opprt'( 'c_0', X ), 'c_0' ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'(
% 1.18/1.56 Y, 'c_0', X ) ), =( 'c_OrderedGroup_Opprt'( Y, X ), 'c_0' ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'(
% 1.18/1.56 'c_0', Y, X ) ), =( 'c_OrderedGroup_Opprt'( Y, X ), Y ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'(
% 1.18/1.56 Y, Z, X ) ), 'c_lessequals'( 'c_OrderedGroup_Opprt'( Y, X ),
% 1.18/1.56 'c_OrderedGroup_Opprt'( Z, X ), X ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 'c_plus'( Y,
% 1.18/1.56 'c_uminus'( Y, X ), X ), 'c_0' ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'(
% 1.18/1.56 'c_0', 'c_plus'( Y, Y, X ), X ) ), 'c_lessequals'( 'c_0', Y, X ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), ~( 'c_lessequals'(
% 1.18/1.56 'c_0', Y, X ) ), 'c_lessequals'( 'c_0', 'c_plus'( Y, Y, X ), X ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 'c_lessequals'(
% 1.18/1.56 'c_0', 'c_OrderedGroup_Opprt'( Y, X ), X ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), ~( 'c_less'(
% 1.18/1.56 'c_0', 'c_HOL_Oabs'( 'c_0', X ), X ) ) ],
% 1.18/1.56 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ), 'c_less'(
% 1.18/1.56 'c_0', 'c_HOL_Oabs'( Y, X ), X ), =( Y, 'c_0' ) ],
% 1.18/1.56 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( 'c_Orderings_Omax'(
% 1.18/1.56 Y, Z, X ), T, X ) ), 'c_less'( Y, T, X ) ],
% 1.18/1.56 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( 'c_Orderings_Omax'(
% 1.18/1.56 Y, Z, X ), T, X ) ), 'c_less'( Z, T, X ) ],
% 1.18/1.56 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( Y, Z, X ) ), ~(
% 1.18/1.56 'c_less'( T, Z, X ) ), 'c_less'( 'c_Orderings_Omax'( T, Y, X ), Z, X ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( Y,
% 1.18/1.56 'c_Orderings_Omin'( Z, T, X ), X ) ), 'c_less'( Y, Z, X ) ],
% 1.18/1.56 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( Y,
% 1.18/1.56 'c_Orderings_Omin'( Z, T, X ), X ) ), 'c_less'( Y, T, X ) ],
% 1.18/1.56 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_less'( Y, Z, X ) ), ~(
% 1.18/1.56 'c_less'( Y, T, X ) ), 'c_less'( Y, 'c_Orderings_Omin'( T, Z, X ), X ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y,
% 1.18/1.56 'c_Orderings_Omin'( Z, T, X ), X ) ), 'c_lessequals'( Y, Z, X ) ],
% 1.18/1.56 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y,
% 1.18/1.56 'c_Orderings_Omin'( Z, T, X ), X ) ), 'c_lessequals'( Y, T, X ) ],
% 1.18/1.56 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.18/1.56 , ~( 'c_lessequals'( Y, T, X ) ), 'c_lessequals'( Y, 'c_Orderings_Omin'(
% 1.18/1.56 T, Z, X ), X ) ],
% 1.18/1.56 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_Orderings_Omin'( Y, Y, X
% 1.18/1.56 ), Y ) ],
% 1.18/1.56 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_Orderings_Omin'( Y,
% 1.18/1.56 'c_Orderings_Omin'( Y, Z, X ), X ), 'c_Orderings_Omin'( Y, Z, X ) ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 1.18/1.56 'c_Orderings_Omax'( Y, Z, X ), T, X ) ), 'c_lessequals'( Y, T, X ) ],
% 1.18/1.56 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 1.18/1.56 'c_Orderings_Omax'( Y, Z, X ), T, X ) ), 'c_lessequals'( Z, T, X ) ],
% 1.18/1.56 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.18/1.56 , ~( 'c_lessequals'( T, Z, X ) ), 'c_lessequals'( 'c_Orderings_Omax'( T,
% 1.18/1.56 Y, X ), Z, X ) ],
% 1.18/1.56 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_Orderings_Omax'( Y, Y, X
% 1.18/1.56 ), Y ) ],
% 1.18/1.56 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_Orderings_Omax'( Y,
% 1.18/1.56 'c_Orderings_Omax'( Y, Z, X ), X ), 'c_Orderings_Omax'( Y, Z, X ) ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_less'( Y, Y, X ) ) ],
% 1.18/1.56 [ ~( 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat'
% 1.18/1.56 ) ), 'c_Parity_Oeven'( 'c_IntDef_Oint'( 'c_Numeral_Onumber__of'( X,
% 1.18/1.56 'tc_nat' ) ), 'tc_IntDef_Oint' ) ],
% 1.18/1.56 [ ~( 'c_Parity_Oeven'( 'c_IntDef_Oint'( 'c_Numeral_Onumber__of'( X,
% 1.18/1.56 'tc_nat' ) ), 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'(
% 1.18/1.56 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ) ],
% 1.18/1.56 [ ~( 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.18/1.56 'tc_IntDef_Oint' ) ), =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X
% 1.18/1.56 , 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.18/1.56 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.18/1.56 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_0' ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ ~( =( 'c_Divides_Oop_Amod'( 'c_Numeral_Onumber__of'( X,
% 1.18/1.56 'tc_IntDef_Oint' ), 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.18/1.56 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.18/1.56 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_0' ) )
% 1.18/1.56 , 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( X, 'tc_IntDef_Oint' ),
% 1.18/1.56 'tc_IntDef_Oint' ) ],
% 1.18/1.56 [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 'c_Parity_Oeven'(
% 1.18/1.56 'c_minus'( Y, X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ),
% 1.18/1.56 'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ) ],
% 1.18/1.56 [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 'c_Parity_Oeven'(
% 1.18/1.56 'c_minus'( X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ),
% 1.18/1.56 'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ) ],
% 1.18/1.56 [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 'c_Parity_Oeven'( Y,
% 1.18/1.56 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( 'c_minus'( Y, X, 'tc_IntDef_Oint'
% 1.18/1.56 ), 'tc_IntDef_Oint' ) ],
% 1.18/1.56 [ 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ), 'c_Parity_Oeven'( Y,
% 1.18/1.56 'tc_IntDef_Oint' ), 'c_Parity_Oeven'( 'c_minus'( Y, X, 'tc_IntDef_Oint' )
% 1.18/1.56 , 'tc_IntDef_Oint' ) ],
% 1.18/1.56 [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), ~( 'c_Parity_Oeven'( 'c_Suc'( X
% 1.18/1.56 ), 'tc_nat' ) ) ],
% 1.18/1.56 [ 'c_Parity_Oeven'( X, 'tc_nat' ), 'c_Parity_Oeven'( 'c_Suc'( X ),
% 1.18/1.56 'tc_nat' ) ],
% 1.18/1.56 [ ~( 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 'tc_nat' ), 'tc_nat' ) ),
% 1.18/1.56 'c_Parity_Oeven'( X, 'tc_nat' ) ],
% 1.18/1.56 [ ~( 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 'tc_nat' ), 'tc_nat' ) ),
% 1.18/1.56 'c_less'( 'c_0', Y, 'tc_nat' ) ],
% 1.18/1.56 [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), ~( 'c_less'( 'c_0', Y, 'tc_nat'
% 1.18/1.56 ) ), 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 'tc_nat' ), 'tc_nat' ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ ~( 'c_Parity_Oeven'( 'c_times'( X, Y, 'tc_nat' ), 'tc_nat' ) ),
% 1.18/1.56 'c_Parity_Oeven'( Y, 'tc_nat' ), 'c_Parity_Oeven'( X, 'tc_nat' ) ],
% 1.18/1.56 [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), 'c_Parity_Oeven'( 'c_times'( X,
% 1.18/1.56 Y, 'tc_nat' ), 'tc_nat' ) ],
% 1.18/1.56 [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), 'c_Parity_Oeven'( 'c_times'( Y,
% 1.18/1.56 X, 'tc_nat' ), 'tc_nat' ) ],
% 1.18/1.56 [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), ~( 'c_Parity_Oeven'( 'c_plus'( Y
% 1.18/1.56 , X, 'tc_nat' ), 'tc_nat' ) ), 'c_Parity_Oeven'( Y, 'tc_nat' ) ],
% 1.18/1.56 [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), ~( 'c_Parity_Oeven'( 'c_plus'( X
% 1.18/1.56 , Y, 'tc_nat' ), 'tc_nat' ) ), 'c_Parity_Oeven'( Y, 'tc_nat' ) ],
% 1.18/1.56 [ ~( 'c_Parity_Oeven'( X, 'tc_nat' ) ), ~( 'c_Parity_Oeven'( Y, 'tc_nat'
% 1.18/1.56 ) ), 'c_Parity_Oeven'( 'c_plus'( Y, X, 'tc_nat' ), 'tc_nat' ) ],
% 1.18/1.56 [ 'c_Parity_Oeven'( X, 'tc_nat' ), 'c_Parity_Oeven'( Y, 'tc_nat' ),
% 1.18/1.56 'c_Parity_Oeven'( 'c_plus'( Y, X, 'tc_nat' ), 'tc_nat' ) ],
% 1.18/1.56 [ 'c_Parity_Oeven'( 'c_0', 'tc_nat' ) ],
% 1.18/1.56 [ ~( 'c_Parity_Oeven'( 'c_uminus'( X, 'tc_IntDef_Oint' ),
% 1.18/1.56 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ],
% 1.18/1.56 [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'(
% 1.18/1.56 'c_uminus'( X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.18/1.56 [ ~( 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 'tc_IntDef_Oint' ),
% 1.18/1.56 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ],
% 1.18/1.56 [ ~( 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 'tc_IntDef_Oint' ),
% 1.18/1.56 'tc_IntDef_Oint' ) ), 'c_less'( 'c_0', Y, 'tc_nat' ) ],
% 1.18/1.56 [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 'c_less'( 'c_0', Y,
% 1.18/1.56 'tc_nat' ) ), 'c_Parity_Oeven'( 'c_Nat_Opower'( X, Y, 'tc_IntDef_Oint' )
% 1.18/1.56 , 'tc_IntDef_Oint' ) ],
% 1.18/1.56 [ ~( 'c_Parity_Oeven'( 'c_times'( X, Y, 'tc_IntDef_Oint' ),
% 1.18/1.56 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ),
% 1.18/1.56 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ],
% 1.18/1.56 [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'(
% 1.18/1.56 'c_times'( X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.18/1.56 [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'(
% 1.18/1.56 'c_times'( Y, X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ],
% 1.18/1.56 [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 'c_Parity_Oeven'(
% 1.18/1.56 'c_plus'( Y, X, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ),
% 1.18/1.56 'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ) ],
% 1.18/1.56 [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 'c_Parity_Oeven'(
% 1.18/1.56 'c_plus'( X, Y, 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ),
% 1.18/1.56 'c_Parity_Oeven'( Y, 'tc_IntDef_Oint' ) ],
% 1.18/1.56 [ ~( 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ) ), ~( 'c_Parity_Oeven'( Y,
% 1.18/1.56 'tc_IntDef_Oint' ) ), 'c_Parity_Oeven'( 'c_plus'( Y, X, 'tc_IntDef_Oint'
% 1.18/1.56 ), 'tc_IntDef_Oint' ) ],
% 1.18/1.56 [ 'c_Parity_Oeven'( X, 'tc_IntDef_Oint' ), 'c_Parity_Oeven'( Y,
% 1.18/1.56 'tc_IntDef_Oint' ), 'c_Parity_Oeven'( 'c_plus'( Y, X, 'tc_IntDef_Oint' )
% 1.18/1.56 , 'tc_IntDef_Oint' ) ],
% 1.18/1.56 [ 'c_Parity_Oeven'( 'c_0', 'tc_IntDef_Oint' ) ],
% 1.18/1.56 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_Parity_Oeven'( Y,
% 1.18/1.56 'tc_nat' ) ), =( 'c_Nat_Opower'( 'c_uminus'( 'c_1', X ), Y, X ), 'c_1' )
% 1.18/1.56 ],
% 1.18/1.56 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'c_Parity_Oeven'( Y,
% 1.18/1.56 'tc_nat' ), =( 'c_Nat_Opower'( 'c_uminus'( 'c_1', X ), Y, X ), 'c_uminus'(
% 1.18/1.56 'c_1', X ) ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'class_Power_Orecpower'( X
% 1.18/1.56 ) ), ~( 'c_Parity_Oeven'( Y, 'tc_nat' ) ), =( 'c_Nat_Opower'(
% 1.18/1.56 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), Y, X ), 'c_1' ) ],
% 1.18/1.56 [ ~( 'class_Numeral_Onumber__ring'( X ) ), ~( 'class_Power_Orecpower'( X
% 1.18/1.56 ) ), 'c_Parity_Oeven'( Y, 'tc_nat' ), =( 'c_Nat_Opower'(
% 1.18/1.56 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ), Y, X ),
% 1.18/1.56 'c_Numeral_Onumber__of'( 'c_Numeral_OMin', X ) ) ],
% 1.18/1.56 [ =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.18/1.56 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.18/1.56 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_0' ),
% 1.18/1.56 =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'(
% 1.18/1.56 'c_Numeral_OBit'( 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ),
% 1.18/1.56 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_1' ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ ~( =( 'c_Divides_Oop_Amod'( X, 'c_Numeral_Onumber__of'(
% 1.18/1.56 'c_Numeral_OBit'( 'c_Numeral_OBit'( 'c_Numeral_OPls',
% 1.18/1.56 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ), 'tc_IntDef_Oint' ),
% 1.18/1.56 'tc_IntDef_Oint' ), 'c_0' ) ), ~( =( 'c_Divides_Oop_Amod'( X,
% 1.18/1.56 'c_Numeral_Onumber__of'( 'c_Numeral_OBit'( 'c_Numeral_OBit'(
% 1.18/1.56 'c_Numeral_OPls', 'c_Numeral_Obit_OB1' ), 'c_Numeral_Obit_OB0' ),
% 1.18/1.56 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_1' ) ) ],
% 1.18/1.56 [ ~( 'c_Parity_Oeven'( 'c_1', 'tc_IntDef_Oint' ) ) ],
% 1.18/1.56 [ ~( 'class_Power_Orecpower'( X ) ), ~( =( 'c_Numeral_Onumber__of'( Y,
% 1.18/1.56 'tc_nat' ), 'c_0' ) ), =( 'c_Nat_Opower'( 'c_0', 'c_Numeral_Onumber__of'(
% 1.18/1.56 Y, 'tc_nat' ), X ), 'c_1' ) ],
% 1.18/1.56 [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( 'c_0',
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0' ), =(
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_0' ) ],
% 1.18/1.56 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_Nat_Opower'( Y,
% 1.18/1.56 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0' ) ), =( Y, 'c_0' ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_Nat_Opower'( Y,
% 1.18/1.56 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0' ) ), 'c_less'( 'c_0',
% 1.18/1.56 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ) ],
% 1.18/1.56 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0',
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), =( 'c_Nat_Opower'(
% 1.18/1.56 'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0' ) ],
% 1.18/1.56 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'(
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), =( 'c_Nat_Opower'(
% 1.18/1.56 'c_HOL_Oabs'( Z, X ), 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ),
% 1.18/1.56 'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ) ) ],
% 1.18/1.56 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.18/1.56 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0', X
% 1.18/1.56 ) ), ~( =( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'c_0' ) ) ],
% 1.18/1.56 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'(
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), ~( 'c_lessequals'(
% 1.18/1.56 'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0', X
% 1.18/1.56 ) ), =( Z, 'c_0' ) ],
% 1.18/1.56 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.18/1.56 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0', X
% 1.18/1.56 ) ), 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat'
% 1.18/1.56 ), 'c_lessequals'( Y, 'c_0', X ) ],
% 1.18/1.56 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.18/1.56 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0', X
% 1.18/1.56 ) ), 'c_lessequals'( Y, 'c_0', X ), =( Y, 'c_0' ) ],
% 1.18/1.56 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( Y,
% 1.18/1.56 'c_0', X ) ), 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ),
% 1.18/1.56 'tc_nat' ), 'c_lessequals'( 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z
% 1.18/1.56 , 'tc_nat' ), X ), 'c_0', X ), =( 'c_Numeral_Onumber__of'( Z, 'tc_nat' )
% 1.18/1.56 , 'c_0' ) ],
% 1.18/1.56 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'(
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), 'c_lessequals'(
% 1.18/1.56 'c_Nat_Opower'( 'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0'
% 1.18/1.56 , X ), =( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_0' ) ],
% 1.18/1.56 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'(
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), ~( 'c_less'(
% 1.18/1.56 'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), 'c_0', X
% 1.18/1.56 ) ) ],
% 1.18/1.56 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'(
% 1.18/1.56 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), 'c_0', X
% 1.18/1.56 ) ), 'c_less'( Y, 'c_0', X ) ],
% 1.18/1.56 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.18/1.56 ) ), 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat'
% 1.18/1.56 ), 'c_less'( 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ),
% 1.18/1.56 X ), 'c_0', X ) ],
% 1.18/1.56 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), ~( 'c_Parity_Oeven'( Y,
% 1.18/1.56 'tc_nat' ) ), =( 'c_Nat_Opower'( 'c_uminus'( Z, X ), Y, X ),
% 1.18/1.56 'c_Nat_Opower'( Z, Y, X ) ) ],
% 1.18/1.56 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'c_Parity_Oeven'( Y,
% 1.18/1.56 'tc_nat' ), =( 'c_Nat_Opower'( 'c_uminus'( Z, X ), Y, X ), 'c_uminus'(
% 1.18/1.56 'c_Nat_Opower'( Z, Y, X ), X ) ) ],
% 1.18/1.56 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.18/1.56 , 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), X ) ),
% 1.18/1.56 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ),
% 1.18/1.56 'c_lessequals'( 'c_0', Y, X ) ],
% 1.18/1.56 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'(
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), 'c_lessequals'(
% 1.18/1.56 'c_0', 'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), X
% 1.18/1.56 ) ],
% 1.18/1.56 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.18/1.56 , Y, X ) ), 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ),
% 1.18/1.56 'tc_nat' ), 'c_lessequals'( 'c_0', 'c_Nat_Opower'( Y,
% 1.18/1.56 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), X ) ],
% 1.18/1.56 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0',
% 1.18/1.56 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), X ), X ) ),
% 1.18/1.56 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ),
% 1.18/1.56 'c_less'( 'c_0', Y, X ), =( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'c_0'
% 1.18/1.56 ) ],
% 1.18/1.56 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'(
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), ~( 'c_less'( 'c_0'
% 1.18/1.56 , 'c_Nat_Opower'( 'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), X )
% 1.18/1.56 ), =( 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_0' ) ],
% 1.18/1.56 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0',
% 1.18/1.56 'c_Nat_Opower'( 'c_0', 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), X ) )
% 1.18/1.56 , 'c_less'( 'c_0', 'c_0', X ), =( 'c_Numeral_Onumber__of'( Y, 'tc_nat' )
% 1.18/1.56 , 'c_0' ) ],
% 1.18/1.56 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_0' ) ), 'c_less'( 'c_0',
% 1.18/1.56 'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), X ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_Parity_Oeven'(
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ), 'c_less'( 'c_0',
% 1.18/1.56 'c_Nat_Opower'( Z, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), X ), X ), =( Z
% 1.18/1.56 , 'c_0' ) ],
% 1.18/1.56 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.18/1.56 ) ), 'c_Parity_Oeven'( 'c_Numeral_Onumber__of'( Z, 'tc_nat' ), 'tc_nat'
% 1.18/1.56 ), 'c_less'( 'c_0', 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( Z,
% 1.18/1.56 'tc_nat' ), X ), X ) ],
% 1.18/1.56 [ ~( 'c_less'( 'c_0', 'c_Nat_Opower'( X, 'c_Numeral_Onumber__of'( Y,
% 1.18/1.56 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ), 'c_less'( 'c_0', X, 'tc_nat' ), =(
% 1.18/1.56 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'c_0' ) ],
% 1.18/1.56 [ ~( =( 'c_Numeral_Onumber__of'( X, 'tc_nat' ), 'c_0' ) ), 'c_less'(
% 1.18/1.56 'c_0', 'c_Nat_Opower'( Y, 'c_Numeral_Onumber__of'( X, 'tc_nat' ),
% 1.18/1.56 'tc_nat' ), 'tc_nat' ) ],
% 1.18/1.56 [ ~( 'c_less'( 'c_0', X, 'tc_nat' ) ), 'c_less'( 'c_0', 'c_Nat_Opower'(
% 1.18/1.56 X, 'c_Numeral_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ],
% 1.18/1.56 [ ~( 'c_lessequals'( 'c_1', X, 'tc_nat' ) ), 'c_lessequals'( 'c_Suc'(
% 1.18/1.56 'c_0' ), 'c_Nat_Opower'( X, Y, 'tc_nat' ), 'tc_nat' ) ],
% 1.18/1.56 [ ~( 'c_less'( 'c_0', 'c_Nat_Opower'( 'c_0', X, 'tc_nat' ), 'tc_nat' ) )
% 1.18/1.56 , =( X, 'c_0' ) ],
% 1.18/1.56 [ 'c_less'( 'c_0', 'c_Nat_Opower'( X, Y, 'tc_nat' ), 'tc_nat' ), =( X,
% 1.18/1.56 'c_0' ) ],
% 1.18/1.56 [ 'c_less'( 'c_0', 'c_Nat_Opower'( X, 'c_0', 'tc_nat' ), 'tc_nat' ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ =( 'c_Nat_Opower'( X, 'c_0', 'tc_nat' ), 'c_1' ) ],
% 1.18/1.56 [ =( 'c_Nat_Opower'( X, 'c_Suc'( Y ), 'tc_nat' ), 'c_times'( X,
% 1.18/1.56 'c_Nat_Opower'( X, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.18/1.56 [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( 'c_0', 'c_Suc'(
% 1.18/1.56 Y ), X ), 'c_0' ) ],
% 1.18/1.56 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_Nat_Opower'( Y,
% 1.18/1.56 Z, X ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.18/1.56 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_Nat_Opower'( Y,
% 1.18/1.56 Z, X ), 'c_0' ) ), 'c_less'( 'c_0', Z, 'tc_nat' ) ],
% 1.18/1.56 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0', Y,
% 1.18/1.56 'tc_nat' ) ), =( 'c_Nat_Opower'( 'c_0', Y, X ), 'c_0' ) ],
% 1.18/1.56 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( 'c_1', Y
% 1.18/1.56 , X ) ), ~( 'c_lessequals'( 'c_Nat_Opower'( Y, Z, X ), 'c_Nat_Opower'( Y
% 1.18/1.56 , T, X ), X ) ), 'c_lessequals'( Z, T, 'tc_nat' ) ],
% 1.18/1.56 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( 'c_1', Y
% 1.18/1.56 , X ) ), ~( 'c_lessequals'( Z, T, 'tc_nat' ) ), 'c_lessequals'(
% 1.18/1.56 'c_Nat_Opower'( Y, Z, X ), 'c_Nat_Opower'( Y, T, X ), X ) ],
% 1.18/1.56 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( 'c_1', Y
% 1.18/1.56 , X ) ), ~( =( 'c_Nat_Opower'( Y, Z, X ), 'c_Nat_Opower'( Y, T, X ) ) ),
% 1.18/1.56 =( Z, T ) ],
% 1.18/1.56 [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( 'c_1', Y, X ),
% 1.18/1.56 'c_1' ) ],
% 1.18/1.56 [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( Y, 'c_1', X ), Y
% 1.18/1.56 ) ],
% 1.18/1.56 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( 'c_1', Y
% 1.18/1.56 , X ) ), ~( 'c_less'( 'c_Nat_Opower'( Y, Z, X ), 'c_Nat_Opower'( Y, T, X
% 1.18/1.56 ), X ) ), 'c_less'( Z, T, 'tc_nat' ) ],
% 1.18/1.56 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'( Y, Z,
% 1.18/1.56 'tc_nat' ) ), ~( 'c_less'( 'c_1', T, X ) ), 'c_less'( 'c_Nat_Opower'( T,
% 1.18/1.56 Y, X ), 'c_Nat_Opower'( T, Z, X ), X ) ],
% 1.18/1.56 [ ~( 'class_Power_Orecpower'( X ) ), =( 'c_Nat_Opower'( Y, 'c_0', X ),
% 1.18/1.56 'c_1' ) ],
% 1.18/1.56 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 'c_0',
% 1.18/1.56 'c_Nat_Opower'( 'c_HOL_Oabs'( Y, X ), Z, X ), X ) ],
% 1.18/1.56 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_less'( 'c_0',
% 1.18/1.56 'c_Nat_Opower'( 'c_HOL_Oabs'( 'c_0', X ), Y, X ), X ) ), =( Y, 'c_0' ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_less'( 'c_0',
% 1.18/1.56 'c_Nat_Opower'( 'c_HOL_Oabs'( Y, X ), Z, X ), X ), =( Y, 'c_0' ) ],
% 1.18/1.56 [ ~( 'class_Power_Orecpower'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_less'( 'c_0',
% 1.18/1.56 'c_Nat_Opower'( 'c_HOL_Oabs'( Y, X ), 'c_0', X ), X ) ],
% 1.18/1.56 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( X, U ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( Y, W ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ =( 'c_fst'( 'c_Pair'( X, Y, Z, T ), Z, T ), X ) ],
% 1.18/1.56 [ =( 'c_Pair'( 'c_fst'( X, Y, Z ), 'c_snd'( X, Y, Z ), Y, Z ), X ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ =( 'c_snd'( 'c_Pair'( X, Y, Z, T ), Z, T ), Y ) ],
% 1.18/1.56 [ =( X, 'c_Pair'( 'c_Main_Osurj__pair__1'( X, Y, Z ),
% 1.18/1.56 'c_Main_Osurj__pair__2'( X, Y, Z ), Y, Z ) ) ],
% 1.18/1.56 [ =( 'c_Relation_ODomain'( 'c_Relation_OId', X, X ), 'c_UNIV' ) ],
% 1.18/1.56 [ =( 'c_Relation_ODomain'( 'c_Relation_Odiag'( X, Y ), Y, Y ), X ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ =( 'c_Relation_ODomain'( 'c_emptyset', X, Y ), 'c_emptyset' ) ],
% 1.18/1.56 [ =( 'c_Relation_Orel__comp'( 'c_Relation_OId', X, Y, Y, Z ), X ) ],
% 1.18/1.56 [ =( 'c_Relation_OImage'( 'c_Relation_OId', X, Y, Y ), X ) ],
% 1.18/1.56 [ =( 'c_Relation_OImage'( 'c_Relation_Odiag'( X, Y ), Z, Y, Y ),
% 1.18/1.56 'c_inter'( X, Z, Y ) ) ],
% 1.18/1.56 [ =( 'c_Relation_OImage'( X, 'c_emptyset', Y, Z ), 'c_emptyset' ) ],
% 1.18/1.56 [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, 'c_insert'( Z, 'c_emptyset', T )
% 1.18/1.56 , T, U ), U ) ), 'c_in'( 'c_Pair'( Z, X, T, U ), Y, 'tc_prod'( T, U ) ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'( Y
% 1.18/1.56 , 'c_Relation_OImage'( U, 'c_insert'( X, 'c_emptyset', Z ), Z, T ), T ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ =( 'c_Relation_Orel__comp'( X, 'c_Relation_OId', Y, Z, Y ), X ) ],
% 1.18/1.56 [ =( 'c_Relation_ORange'( 'c_Relation_OId', X, X ), 'c_UNIV' ) ],
% 1.18/1.56 [ =( 'c_Relation_ORange'( 'c_Relation_Odiag'( X, Y ), Y, Y ), X ) ],
% 1.18/1.56 [ =( 'c_Relation_ORange'( 'c_emptyset', X, Y ), 'c_emptyset' ) ],
% 1.18/1.56 [ =( 'c_Relation_Oconverse'( 'c_Relation_OId', X, X ), 'c_Relation_OId'
% 1.18/1.56 ) ],
% 1.18/1.56 [ =( 'c_Relation_Oconverse'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 1.18/1.56 X ) ],
% 1.18/1.56 [ =( 'c_Relation_Oconverse'( 'c_Relation_Odiag'( X, Y ), Y, Y ),
% 1.18/1.56 'c_Relation_Odiag'( X, Y ) ) ],
% 1.18/1.56 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Oconverse'( U, T, Z ),
% 1.18/1.56 'tc_prod'( Z, T ) ) ), 'c_in'( 'c_Pair'( Y, X, T, Z ), U, 'tc_prod'( T, Z
% 1.18/1.56 ) ) ],
% 1.18/1.56 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'(
% 1.18/1.56 'c_Pair'( Y, X, T, Z ), 'c_Relation_Oconverse'( U, Z, T ), 'tc_prod'( T,
% 1.18/1.56 Z ) ) ],
% 1.18/1.56 [ =( 'c_Relation_Odiag'( 'c_emptyset', X ), 'c_emptyset' ) ],
% 1.18/1.56 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId', 'tc_prod'( Z, Z )
% 1.18/1.56 ) ), =( X, Y ) ],
% 1.18/1.56 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId', 'tc_prod'( Y, Y ) )
% 1.18/1.56 ],
% 1.18/1.56 [ =( 'c_Nat_Opower'( X, 'c_1', 'tc_set'( 'tc_prod'( Y, Y ) ) ), X ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ =( 'c_Nat_Opower'( X, 'c_0', 'tc_set'( 'tc_prod'( Y, Y ) ) ),
% 1.18/1.56 'c_Relation_OId' ) ],
% 1.18/1.56 [ =( 'c_Nat_Opower'( X, 'c_Suc'( Y ), 'tc_set'( 'tc_prod'( Z, Z ) ) ),
% 1.18/1.56 'c_Relation_Orel__comp'( X, 'c_Nat_Opower'( X, Y, 'tc_set'( 'tc_prod'( Z
% 1.18/1.56 , Z ) ) ), Z, Z, Z ) ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), =( 'c_HOL_Oabs'(
% 1.18/1.56 'c_divide'( Y, Z, X ), X ), 'c_divide'( 'c_HOL_Oabs'( Y, X ),
% 1.18/1.56 'c_HOL_Oabs'( Z, X ), X ) ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), =( 'c_HOL_Oabs'(
% 1.18/1.56 'c_HOL_Oinverse'( Y, X ), X ), 'c_HOL_Oinverse'( 'c_HOL_Oabs'( Y, X ), X
% 1.18/1.56 ) ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 'c_HOL_Oabs'(
% 1.18/1.56 'c_1', X ), 'c_1' ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ), ~( =( 'c_0',
% 1.18/1.56 'c_1' ) ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y, 'c_1', X
% 1.18/1.56 ), Y ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_divide'( Y, Z, X ),
% 1.18/1.56 'c_divide'( Y, T, X ) ) ), =( Z, T ), =( Y, 'c_0' ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_0', Y, X ),
% 1.18/1.56 'c_divide'( 'c_0', Z, X ) ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_divide'( Y, Z, X ),
% 1.18/1.56 'c_divide'( T, Z, X ) ) ), =( Y, T ), =( Z, 'c_0' ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y, 'c_0', X ),
% 1.18/1.56 'c_divide'( Z, 'c_0', X ) ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_divide'( Y, Z,
% 1.18/1.56 X ), T, X ), 'c_divide'( Y, 'c_times'( Z, T, X ), X ) ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y, 'c_divide'( Z,
% 1.18/1.56 T, X ), X ), 'c_divide'( 'c_times'( Y, T, X ), Z, X ) ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_divide'( Y, Z, X ),
% 1.18/1.56 'c_0' ) ), =( Z, 'c_0' ), =( Y, 'c_0' ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_0', Y, X ),
% 1.18/1.56 'c_0' ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y, 'c_0', X ),
% 1.18/1.56 'c_0' ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_divide'( Y, Z, X ),
% 1.18/1.56 'c_1' ) ), =( Y, Z ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_divide'( Y,
% 1.18/1.56 'c_0', X ), 'c_1' ) ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_divide'( Y, Z,
% 1.18/1.56 X ), 'c_1' ) ), =( Z, Y ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), =( Y, 'c_0' ), =(
% 1.18/1.56 'c_divide'( Y, Y, X ), 'c_1' ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'(
% 1.18/1.56 'c_divide'( 'c_1', Y, X ), 'c_0', X ) ), 'c_lessequals'( Y, 'c_0', X ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.18/1.56 'c_0', X ) ), 'c_lessequals'( 'c_divide'( 'c_1', Y, X ), 'c_0', X ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.18/1.56 ) ), ~( 'c_lessequals'( 'c_divide'( Z, Y, X ), 'c_1', X ) ),
% 1.18/1.56 'c_lessequals'( Y, Z, X ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.18/1.56 ) ), ~( 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_divide'( Z, Y, X
% 1.18/1.56 ), 'c_1', X ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.18/1.56 ) ), ~( 'c_lessequals'( 'c_divide'( Z, Y, X ), 'c_1', X ) ),
% 1.18/1.56 'c_lessequals'( Z, Y, X ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.18/1.56 ) ), ~( 'c_lessequals'( Z, Y, X ) ), 'c_lessequals'( 'c_divide'( Z, Y, X
% 1.18/1.56 ), 'c_1', X ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_divide'(
% 1.18/1.56 'c_1', Y, X ), 'c_0', X ) ), 'c_less'( Y, 'c_0', X ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.18/1.56 ) ), 'c_less'( 'c_divide'( 'c_1', Y, X ), 'c_0', X ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.18/1.56 ) ), ~( 'c_less'( 'c_divide'( Z, Y, X ), 'c_1', X ) ), 'c_less'( Y, Z, X
% 1.18/1.56 ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z, X ) )
% 1.18/1.56 , ~( 'c_less'( Y, 'c_0', X ) ), 'c_less'( 'c_divide'( Z, Y, X ), 'c_1', X
% 1.18/1.56 ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.18/1.56 ) ), ~( 'c_less'( 'c_divide'( Z, Y, X ), 'c_1', X ) ), 'c_less'( Z, Y, X
% 1.18/1.56 ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z, X ) )
% 1.18/1.56 , ~( 'c_less'( 'c_0', Z, X ) ), 'c_less'( 'c_divide'( Y, Z, X ), 'c_1', X
% 1.18/1.56 ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_uminus'(
% 1.18/1.56 Y, X ), Z, X ), 'c_uminus'( 'c_divide'( Y, Z, X ), X ) ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( Y, 'c_uminus'( Z,
% 1.18/1.56 X ), X ), 'c_uminus'( 'c_divide'( Y, Z, X ), X ) ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_0', 'c_0', X )
% 1.18/1.56 , 'c_0' ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_1', 'c_divide'(
% 1.18/1.56 Y, 'c_0', X ) ) ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_1', 'c_divide'(
% 1.18/1.56 Y, Z, X ) ) ), =( Z, Y ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), =( Y, 'c_0' ), =( 'c_1'
% 1.18/1.56 , 'c_divide'( Y, Y, X ) ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_times'(
% 1.18/1.56 'c_HOL_Oinverse'( Y, X ), Y, X ), 'c_1' ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_times'( Y, Z, X )
% 1.18/1.56 , 'c_times'( Y, T, X ) ) ), =( Z, T ), =( Y, 'c_0' ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( 'c_0', Y, X )
% 1.18/1.56 , 'c_times'( 'c_0', Z, X ) ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_times'( Y, Z, X )
% 1.18/1.56 , 'c_times'( T, Z, X ) ) ), =( Y, T ), =( Z, 'c_0' ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( Y, 'c_0', X )
% 1.18/1.56 , 'c_times'( Z, 'c_0', X ) ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'( 'c_divide'(
% 1.18/1.56 Y, Z, X ), X ), 'c_divide'( Z, Y, X ) ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_HOL_Oinverse'( Y, X ),
% 1.18/1.56 'c_1' ) ), =( Y, 'c_1' ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'( 'c_1', X ),
% 1.18/1.56 'c_1' ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_HOL_Oinverse'( Y, X ),
% 1.18/1.56 'c_HOL_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'(
% 1.18/1.56 'c_HOL_Oinverse'( Y, X ), X ), Y ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0'
% 1.18/1.56 , Y, X ) ), ~( 'c_less'( 'c_0', Z, X ) ), ~( 'c_lessequals'(
% 1.18/1.56 'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) ), 'c_lessequals'(
% 1.18/1.56 Y, Z, X ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0'
% 1.18/1.56 , Y, X ) ), ~( 'c_less'( 'c_0', Z, X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.18/1.56 , 'c_lessequals'( 'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X )
% 1.18/1.56 ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.18/1.56 'c_0', X ) ), ~( 'c_less'( Z, 'c_0', X ) ), ~( 'c_lessequals'(
% 1.18/1.56 'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) ), 'c_lessequals'(
% 1.18/1.56 Y, Z, X ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.18/1.56 'c_0', X ) ), ~( 'c_less'( Z, 'c_0', X ) ), ~( 'c_lessequals'( Y, Z, X )
% 1.18/1.56 ), 'c_lessequals'( 'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X
% 1.18/1.56 ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0'
% 1.18/1.56 , Y, X ) ), ~( 'c_less'( 'c_0', Z, X ) ), ~( 'c_less'( 'c_HOL_Oinverse'(
% 1.18/1.56 Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) ), 'c_less'( Y, Z, X ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z
% 1.18/1.56 , X ) ), ~( 'c_less'( 'c_0', Y, X ) ), ~( 'c_less'( 'c_0', Z, X ) ),
% 1.18/1.56 'c_less'( 'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y,
% 1.18/1.56 'c_0', X ) ), ~( 'c_less'( Z, 'c_0', X ) ), ~( 'c_less'( 'c_HOL_Oinverse'(
% 1.18/1.56 Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) ), 'c_less'( Y, Z, X ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z
% 1.18/1.56 , X ) ), ~( 'c_less'( Y, 'c_0', X ) ), ~( 'c_less'( Z, 'c_0', X ) ),
% 1.18/1.56 'c_less'( 'c_HOL_Oinverse'( Z, X ), 'c_HOL_Oinverse'( Y, X ), X ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'( 'c_uminus'(
% 1.18/1.56 Y, X ), X ), 'c_uminus'( 'c_HOL_Oinverse'( Y, X ), X ) ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'( 'c_times'( Y
% 1.18/1.56 , Z, X ), X ), 'c_times'( 'c_HOL_Oinverse'( Y, X ), 'c_HOL_Oinverse'( Z,
% 1.18/1.56 X ), X ) ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'(
% 1.18/1.56 'c_HOL_Oinverse'( Y, X ), 'c_0', X ) ), 'c_less'( Y, 'c_0', X ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.18/1.56 ) ), 'c_less'( 'c_HOL_Oinverse'( Y, X ), 'c_0', X ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.18/1.56 , 'c_HOL_Oinverse'( Y, X ), X ) ), 'c_lessequals'( 'c_0', Y, X ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.18/1.56 , Y, X ) ), 'c_lessequals'( 'c_0', 'c_HOL_Oinverse'( Y, X ), X ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'(
% 1.18/1.56 'c_HOL_Oinverse'( Y, X ), 'c_0', X ) ), 'c_lessequals'( Y, 'c_0', X ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( Y,
% 1.18/1.56 'c_0', X ) ), 'c_lessequals'( 'c_HOL_Oinverse'( Y, X ), 'c_0', X ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_HOL_Oinverse'( Y, X ),
% 1.18/1.56 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_HOL_Oinverse'( 'c_0', X ),
% 1.18/1.56 'c_0' ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.18/1.56 'c_HOL_Oinverse'( Y, X ), X ) ), 'c_less'( 'c_0', Y, X ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.18/1.56 ) ), 'c_less'( 'c_0', 'c_HOL_Oinverse'( Y, X ), X ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.18/1.56 ) ), ~( 'c_lessequals'( 'c_1', 'c_divide'( Z, Y, X ), X ) ),
% 1.18/1.56 'c_lessequals'( Z, Y, X ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.18/1.56 ) ), ~( 'c_lessequals'( Z, Y, X ) ), 'c_lessequals'( 'c_1', 'c_divide'(
% 1.18/1.56 Z, Y, X ), X ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.18/1.56 ) ), ~( 'c_lessequals'( 'c_1', 'c_divide'( Z, Y, X ), X ) ),
% 1.18/1.56 'c_lessequals'( Y, Z, X ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.18/1.56 ) ), ~( 'c_lessequals'( Y, Z, X ) ), 'c_lessequals'( 'c_1', 'c_divide'(
% 1.18/1.56 Z, Y, X ), X ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, 'c_0', X
% 1.18/1.56 ) ), ~( 'c_less'( 'c_1', 'c_divide'( Z, Y, X ), X ) ), 'c_less'( Z, Y, X
% 1.18/1.56 ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z, X ) )
% 1.18/1.56 , ~( 'c_less'( Z, 'c_0', X ) ), 'c_less'( 'c_1', 'c_divide'( Y, Z, X ), X
% 1.18/1.56 ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.18/1.56 ) ), ~( 'c_less'( 'c_1', 'c_divide'( Z, Y, X ), X ) ), 'c_less'( Y, Z, X
% 1.18/1.56 ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( Y, Z, X ) )
% 1.18/1.56 , ~( 'c_less'( 'c_0', Y, X ) ), 'c_less'( 'c_1', 'c_divide'( Z, Y, X ), X
% 1.18/1.56 ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_uminus'( Y, X )
% 1.18/1.56 , 'c_uminus'( Z, X ), X ), 'c_divide'( Y, Z, X ) ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 'c_times'( 'c_uminus'( Y
% 1.18/1.56 , X ), 'c_uminus'( Z, X ), X ), 'c_times'( Y, Z, X ) ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( Y, 'c_times'(
% 1.18/1.56 Y, Z, X ) ) ), =( Y, 'c_0' ), =( Z, 'c_1' ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 'c_0', 'c_times'(
% 1.18/1.56 'c_0', Y, X ) ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 'c_times'( Y
% 1.18/1.56 , 'c_1', X ) ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_times'( Y
% 1.18/1.56 , Z, X ), Y ) ), =( Y, 'c_0' ), =( Z, 'c_1' ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( Y, 'c_times'(
% 1.18/1.56 Z, Y, X ) ) ), =( Y, 'c_0' ), =( Z, 'c_1' ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 'c_0', 'c_times'(
% 1.18/1.56 Y, 'c_0', X ) ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 'c_times'(
% 1.18/1.56 'c_1', Y, X ) ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 'c_times'( Y
% 1.18/1.56 , Z, X ), Z ) ), =( Z, 'c_0' ), =( Y, 'c_1' ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_0', 'c_times'(
% 1.18/1.56 'c_0', Y, X ), X ), 'c_0' ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'( Y,
% 1.18/1.56 'c_times'( Y, Z, X ), X ), 'c_divide'( 'c_1', Z, X ) ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_times'( 'c_0',
% 1.18/1.56 Y, X ), 'c_0', X ), 'c_0' ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'(
% 1.18/1.56 'c_times'( Y, Z, X ), Y, X ), Z ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_times'( 'c_0',
% 1.18/1.56 Y, X ), 'c_times'( 'c_0', Z, X ), X ), 'c_0' ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'(
% 1.18/1.56 'c_times'( Y, Z, X ), 'c_times'( Y, T, X ), X ), 'c_divide'( Z, T, X ) )
% 1.18/1.56 ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_0', 'c_times'(
% 1.18/1.56 Y, 'c_0', X ), X ), 'c_0' ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'( Y,
% 1.18/1.56 'c_times'( Z, Y, X ), X ), 'c_divide'( 'c_1', Z, X ) ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_times'( Y,
% 1.18/1.56 'c_0', X ), 'c_0', X ), 'c_0' ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'(
% 1.18/1.56 'c_times'( Z, Y, X ), Y, X ), Z ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_divide'( 'c_times'( Y,
% 1.18/1.56 'c_0', X ), 'c_times'( Z, 'c_0', X ), X ), 'c_0' ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_divide'(
% 1.18/1.56 'c_times'( Z, Y, X ), 'c_times'( T, Y, X ), X ), 'c_divide'( Z, T, X ) )
% 1.18/1.56 ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 1.18/1.56 'c_times'( Y, Z, X ), 'c_0' ) ), =( Z, 'c_0' ), =( Y, 'c_0' ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 'c_times'( 'c_uminus'( Y
% 1.18/1.56 , X ), Z, X ), 'c_uminus'( 'c_times'( Y, Z, X ), X ) ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 'c_times'( Y, 'c_uminus'(
% 1.18/1.56 Z, X ), X ), 'c_uminus'( 'c_times'( Y, Z, X ), X ) ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), =( 'c_times'(
% 1.18/1.56 'c_0', Y, X ), 'c_0' ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ), =( 'c_times'(
% 1.18/1.56 Y, 'c_0', X ), 'c_0' ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.18/1.56 'c_lessequals'( 'c_1', 'c_0', X ) ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 'c_less'(
% 1.18/1.56 'c_1', 'c_0', X ) ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_divide'( 'c_1'
% 1.18/1.56 , Y, X ), 'c_0' ) ), =( Y, 'c_0' ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), =( 'c_divide'( 'c_1',
% 1.18/1.56 'c_0', X ), 'c_0' ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 'c_1', 'c_divide'( Y, Z, X
% 1.18/1.56 ) ) ), =( Y, Z ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ), ~( =( 'c_1',
% 1.18/1.56 'c_0' ) ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_less'( 'c_0'
% 1.18/1.56 , 'c_1', X ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_times'(
% 1.18/1.56 Y, 'c_HOL_Oinverse'( Y, X ), X ), 'c_1' ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( Y, 'c_divide'(
% 1.18/1.56 Z, T, X ), X ), 'c_divide'( 'c_times'( Y, Z, X ), T, X ) ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( 'c_divide'( Y
% 1.18/1.56 , Z, X ), T, X ), 'c_divide'( 'c_times'( Y, T, X ), Z, X ) ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( 'c_divide'( Y,
% 1.18/1.56 'c_0', X ), 'c_0', X ), 'c_0' ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_times'(
% 1.18/1.56 'c_divide'( Z, Y, X ), Y, X ), Z ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_times'( 'c_0', 'c_divide'(
% 1.18/1.56 Y, 'c_0', X ), X ), 'c_0' ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 'c_0' ), =( 'c_times'( Y,
% 1.18/1.56 'c_divide'( Z, Y, X ), X ), Z ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( =( 'c_0', 'c_divide'(
% 1.18/1.56 'c_1', Y, X ) ) ), =( Y, 'c_0' ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), =( 'c_0', 'c_divide'(
% 1.18/1.56 'c_1', 'c_0', X ) ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.18/1.56 , 'c_divide'( 'c_1', Y, X ), X ) ), 'c_lessequals'( 'c_0', Y, X ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_lessequals'( 'c_0'
% 1.18/1.56 , Y, X ) ), 'c_lessequals'( 'c_0', 'c_divide'( 'c_1', Y, X ), X ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.18/1.56 'c_0', 'c_1', X ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0',
% 1.18/1.56 'c_divide'( 'c_1', Y, X ), X ) ), 'c_less'( 'c_0', Y, X ) ],
% 1.18/1.56 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.18/1.56 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 'c_less'( 'c_0', Y, X
% 1.18/1.56 ) ), 'c_less'( 'c_0', 'c_divide'( 'c_1', Y, X ), X ) ],
% 1.18/1.56 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_uminus'(
% 1.18/1.56 'c_SetInterval_OatLeast'( Y, X ), 'tc_set'( X ) ),
% 1.18/1.56 'c_SetInterval_OlessThan'( Y, X ) ) ],
% 1.18/1.56 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_uminus'(
% 1.18/1.56 'c_SetInterval_OatMost'( Y, X ), 'tc_set'( X ) ),
% 1.18/1.56 'c_SetInterval_OgreaterThan'( Y, X ) ) ],
% 1.18/1.56 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_uminus'(
% 1.18/1.56 'c_SetInterval_OgreaterThan'( Y, X ), 'tc_set'( X ) ),
% 1.18/1.56 'c_SetInterval_OatMost'( Y, X ) ) ],
% 1.18/1.56 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_uminus'(
% 1.18/1.56 'c_SetInterval_OlessThan'( Y, X ), 'tc_set'( X ) ),
% 1.18/1.56 'c_SetInterval_OatLeast'( Y, X ) ) ],
% 1.18/1.56 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_less'( Y, Z, X ) ), =(
% 1.18/1.56 'c_SetInterval_OatLeastAtMost'( Z, Y, X ), 'c_emptyset' ) ],
% 1.18/1.56 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.18/1.56 'c_SetInterval_OatLeastAtMost'( Z, T, X ), X ) ), 'c_lessequals'( Z, Y, X
% 1.18/1.56 ) ],
% 1.18/1.56 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.18/1.56 'c_SetInterval_OatLeastAtMost'( Z, T, X ), X ) ), 'c_lessequals'( Y, T, X
% 1.18/1.56 ) ],
% 1.18/1.56 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ), ~(
% 1.18/1.56 'c_lessequals'( T, Y, X ) ), 'c_in'( Y, 'c_SetInterval_OatLeastAtMost'( T
% 1.18/1.56 , Z, X ), X ) ],
% 1.18/1.56 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_SetInterval_OatLeastAtMost'(
% 1.18/1.56 Y, Y, X ), 'c_insert'( Y, 'c_emptyset', X ) ) ],
% 1.18/1.56 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ),
% 1.18/1.56 =( 'c_SetInterval_OatLeastLessThan'( Z, Y, X ), 'c_emptyset' ) ],
% 1.18/1.56 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.18/1.56 'c_SetInterval_OatLeastLessThan'( Z, T, X ), X ) ), 'c_lessequals'( Z, Y
% 1.18/1.56 , X ) ],
% 1.18/1.56 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.18/1.56 'c_SetInterval_OatLeastLessThan'( Z, T, X ), X ) ), 'c_less'( Y, T, X ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X ) ), ~(
% 1.18/1.56 'c_lessequals'( T, Y, X ) ), 'c_in'( Y, 'c_SetInterval_OatLeastLessThan'(
% 1.18/1.56 T, Z, X ), X ) ],
% 1.18/1.56 [ =( 'c_SetInterval_OatLeastLessThan'( X, 'c_Suc'( X ), 'tc_nat' ),
% 1.18/1.56 'c_insert'( X, 'c_emptyset', 'tc_nat' ) ) ],
% 1.18/1.56 [ =( 'c_SetInterval_OatLeast'( 'c_0', 'tc_nat' ), 'c_UNIV' ) ],
% 1.18/1.56 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 'c_SetInterval_OatLeast'(
% 1.18/1.56 Y, X ), 'c_SetInterval_OatLeast'( Z, X ) ) ), =( Y, Z ) ],
% 1.18/1.56 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.18/1.56 'c_SetInterval_OatLeast'( Z, X ), X ) ), 'c_lessequals'( Z, Y, X ) ],
% 1.18/1.56 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ),
% 1.18/1.56 'c_in'( Z, 'c_SetInterval_OatLeast'( Y, X ), X ) ],
% 1.18/1.56 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'(
% 1.18/1.56 'c_SetInterval_OatLeast'( Y, X ), 'c_SetInterval_OatLeast'( Z, X ),
% 1.18/1.56 'tc_set'( X ) ) ), 'c_lessequals'( Z, Y, X ) ],
% 1.18/1.56 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ),
% 1.18/1.56 'c_lessequals'( 'c_SetInterval_OatLeast'( Z, X ),
% 1.18/1.56 'c_SetInterval_OatLeast'( Y, X ), 'tc_set'( X ) ) ],
% 1.18/1.56 [ =( 'c_SetInterval_OatMost'( 'c_0', 'tc_nat' ), 'c_insert'( 'c_0',
% 1.18/1.56 'c_emptyset', 'tc_nat' ) ) ],
% 1.18/1.56 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 'c_SetInterval_OatMost'(
% 1.18/1.56 Y, X ), 'c_SetInterval_OatMost'( Z, X ) ) ), =( Y, Z ) ],
% 1.18/1.56 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.18/1.56 'c_SetInterval_OatMost'( Z, X ), X ) ), 'c_lessequals'( Y, Z, X ) ],
% 1.18/1.56 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ),
% 1.18/1.56 'c_in'( Y, 'c_SetInterval_OatMost'( Z, X ), X ) ],
% 1.18/1.56 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'(
% 1.18/1.56 'c_SetInterval_OatMost'( Y, X ), 'c_SetInterval_OatMost'( Z, X ),
% 1.18/1.56 'tc_set'( X ) ) ), 'c_lessequals'( Y, Z, X ) ],
% 1.18/1.56 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ),
% 1.18/1.56 'c_lessequals'( 'c_SetInterval_OatMost'( Y, X ), 'c_SetInterval_OatMost'(
% 1.18/1.56 Z, X ), 'tc_set'( X ) ) ],
% 1.18/1.56 [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OatLeastAtMost'( X, Y,
% 1.18/1.56 'tc_nat' ), 'tc_nat' ), 'c_minus'( 'c_Suc'( Y ), X, 'tc_nat' ) ) ],
% 1.18/1.56 [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OatLeastAtMost'( X, Y,
% 1.18/1.56 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_IntDef_Onat'( 'c_plus'(
% 1.18/1.56 'c_minus'( Y, X, 'tc_IntDef_Oint' ), 'c_1', 'tc_IntDef_Oint' ) ) ) ],
% 1.18/1.56 [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OatLeastLessThan'( X, Y,
% 1.18/1.56 'tc_nat' ), 'tc_nat' ), 'c_minus'( Y, X, 'tc_nat' ) ) ],
% 1.18/1.56 [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OatLeastLessThan'( X, Y,
% 1.18/1.56 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_IntDef_Onat'( 'c_minus'( Y, X
% 1.18/1.56 , 'tc_IntDef_Oint' ) ) ) ],
% 1.18/1.56 [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OatMost'( X, 'tc_nat' ),
% 1.18/1.56 'tc_nat' ), 'c_Suc'( X ) ) ],
% 1.18/1.56 [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OgreaterThanAtMost'( X, Y,
% 1.18/1.56 'tc_nat' ), 'tc_nat' ), 'c_minus'( Y, X, 'tc_nat' ) ) ],
% 1.18/1.56 [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OgreaterThanAtMost'( X, Y,
% 1.18/1.56 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_IntDef_Onat'( 'c_minus'( Y, X
% 1.18/1.56 , 'tc_IntDef_Oint' ) ) ) ],
% 1.18/1.56 [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OgreaterThanLessThan'( X, Y,
% 1.18/1.56 'tc_nat' ), 'tc_nat' ), 'c_minus'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ],
% 1.18/1.56 [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OgreaterThanLessThan'( X, Y,
% 1.18/1.56 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ), 'c_IntDef_Onat'( 'c_minus'( Y,
% 1.18/1.56 'c_plus'( X, 'c_1', 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ) ],
% 1.18/1.56 [ =( 'c_Finite__Set_Ocard'( 'c_SetInterval_OlessThan'( X, 'tc_nat' ),
% 1.18/1.56 'tc_nat' ), X ) ],
% 1.18/1.56 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) ),
% 1.18/1.56 =( 'c_SetInterval_OgreaterThanAtMost'( Z, Y, X ), 'c_emptyset' ) ],
% 1.18/1.56 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.18/1.56 'c_SetInterval_OgreaterThanAtMost'( Z, T, X ), X ) ), 'c_less'( Z, Y, X )
% 1.18/1.56 ],
% 1.18/1.56 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.18/1.56 'c_SetInterval_OgreaterThanAtMost'( Z, T, X ), X ) ), 'c_lessequals'( Y,
% 1.18/1.56 T, X ) ],
% 1.18/1.56 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X ) ), ~(
% 1.18/1.56 'c_lessequals'( Z, T, X ) ), 'c_in'( Z,
% 1.18/1.56 'c_SetInterval_OgreaterThanAtMost'( Y, T, X ), X ) ],
% 1.18/1.56 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.18/1.56 'c_SetInterval_OgreaterThanLessThan'( Z, T, X ), X ) ), 'c_less'( Z, Y, X
% 1.18/1.56 ) ],
% 1.18/1.56 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.18/1.56 'c_SetInterval_OgreaterThanLessThan'( Z, T, X ), X ) ), 'c_less'( Y, T, X
% 1.18/1.56 ) ],
% 1.18/1.56 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X ) ), ~(
% 1.18/1.56 'c_less'( T, Y, X ) ), 'c_in'( Y, 'c_SetInterval_OgreaterThanLessThan'( T
% 1.18/1.56 , Z, X ), X ) ],
% 1.18/1.56 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 1.18/1.56 'c_SetInterval_OgreaterThan'( Y, X ), 'c_SetInterval_OgreaterThan'( Z, X
% 1.18/1.56 ) ) ), =( Y, Z ) ],
% 1.18/1.56 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.18/1.56 'c_SetInterval_OgreaterThan'( Z, X ), X ) ), 'c_less'( Z, Y, X ) ],
% 1.18/1.56 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X ) ), 'c_in'( Z
% 1.18/1.56 , 'c_SetInterval_OgreaterThan'( Y, X ), X ) ],
% 1.18/1.56 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 1.18/1.56 'c_SetInterval_OgreaterThan'( Y, X ), 'c_SetInterval_OgreaterThan'( Z, X
% 1.18/1.56 ), 'tc_set'( X ) ) ), 'c_lessequals'( Z, Y, X ) ],
% 1.18/1.56 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.18/1.56 , 'c_lessequals'( 'c_SetInterval_OgreaterThan'( Z, X ),
% 1.18/1.56 'c_SetInterval_OgreaterThan'( Y, X ), 'tc_set'( X ) ) ],
% 1.18/1.56 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.18/1.56 , =( 'c_minus'( 'c_SetInterval_OatLeastLessThan'( Y, T, X ),
% 1.18/1.56 'c_SetInterval_OatLeastLessThan'( Y, Z, X ), 'tc_set'( X ) ),
% 1.18/1.56 'c_SetInterval_OatLeastLessThan'( Z, T, X ) ) ],
% 1.18/1.56 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 1.18/1.56 'c_SetInterval_OatLeastLessThan'( Y, Z, X ),
% 1.18/1.56 'c_SetInterval_OatLeastLessThan'( T, U, X ), 'tc_set'( X ) ) ),
% 1.18/1.56 'c_lessequals'( T, Y, X ), 'c_lessequals'( Z, Y, X ) ],
% 1.18/1.56 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 1.18/1.56 'c_SetInterval_OatLeastLessThan'( Y, Z, X ),
% 1.18/1.56 'c_SetInterval_OatLeastLessThan'( T, U, X ), 'tc_set'( X ) ) ),
% 1.18/1.56 'c_lessequals'( Z, U, X ), 'c_lessequals'( Z, Y, X ) ],
% 1.18/1.56 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.18/1.56 , 'c_lessequals'( 'c_SetInterval_OatLeastLessThan'( Z, Y, X ),
% 1.18/1.56 'c_SetInterval_OatLeastLessThan'( T, U, X ), 'tc_set'( X ) ) ],
% 1.18/1.56 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.18/1.56 , ~( 'c_lessequals'( T, U, X ) ), 'c_lessequals'(
% 1.18/1.56 'c_SetInterval_OatLeastLessThan'( U, Y, X ),
% 1.18/1.56 'c_SetInterval_OatLeastLessThan'( T, Z, X ), 'tc_set'( X ) ) ],
% 1.18/1.56 [ =( 'c_SetInterval_OlessThan'( 'c_0', 'tc_nat' ), 'c_emptyset' ) ],
% 1.18/1.56 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 'c_SetInterval_OlessThan'(
% 1.18/1.56 Y, X ), 'c_SetInterval_OlessThan'( Z, X ) ) ), =( Y, Z ) ],
% 1.18/1.56 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_in'( Y,
% 1.18/1.56 'c_SetInterval_OlessThan'( Z, X ), X ) ), 'c_less'( Y, Z, X ) ],
% 1.18/1.56 [ ~( 'class_Orderings_Oord'( X ) ), ~( 'c_less'( Y, Z, X ) ), 'c_in'( Y
% 1.18/1.56 , 'c_SetInterval_OlessThan'( Z, X ), X ) ],
% 1.18/1.56 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 1.18/1.56 'c_SetInterval_OlessThan'( Y, X ), 'c_SetInterval_OlessThan'( Z, X ),
% 1.18/1.56 'tc_set'( X ) ) ), 'c_lessequals'( Y, Z, X ) ],
% 1.18/1.56 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.18/1.56 , 'c_lessequals'( 'c_SetInterval_OlessThan'( Y, X ),
% 1.18/1.56 'c_SetInterval_OlessThan'( Z, X ), 'tc_set'( X ) ) ],
% 1.18/1.56 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_minus'( 'c_insert'( Y,
% 1.18/1.56 'c_emptyset', X ), 'c_SetInterval_OlessThan'( Y, X ), 'tc_set'( X ) ),
% 1.18/1.56 'c_insert'( Y, 'c_emptyset', X ) ) ],
% 1.18/1.56 [ =( 'c_uminus'( 'c_minus'( X, Y, 'tc_set'( Z ) ), 'tc_set'( Z ) ),
% 1.18/1.56 'c_union'( 'c_uminus'( X, 'tc_set'( Z ) ), Y, Z ) ) ],
% 1.18/1.56 [ =( 'c_uminus'( 'c_inter'( X, Y, Z ), 'tc_set'( Z ) ), 'c_union'(
% 1.18/1.56 'c_uminus'( X, 'tc_set'( Z ) ), 'c_uminus'( Y, 'tc_set'( Z ) ), Z ) ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ =( 'c_uminus'( 'c_UNIV', 'tc_set'( X ) ), 'c_emptyset' ) ],
% 1.18/1.56 [ =( 'c_uminus'( 'c_union'( X, Y, Z ), 'tc_set'( Z ) ), 'c_inter'(
% 1.18/1.56 'c_uminus'( X, 'tc_set'( Z ) ), 'c_uminus'( Y, 'tc_set'( Z ) ), Z ) ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ =( 'c_inter'( 'c_uminus'( X, 'tc_set'( Y ) ), X, Y ), 'c_emptyset' ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ =( 'c_inter'( X, 'c_uminus'( X, 'tc_set'( Y ) ), Y ), 'c_emptyset' ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ =( 'c_uminus'( 'c_emptyset', 'tc_set'( X ) ), 'c_UNIV' ) ],
% 1.18/1.56 [ ~( =( 'c_uminus'( X, 'tc_set'( Y ) ), 'c_uminus'( Z, 'tc_set'( Y ) ) )
% 1.18/1.56 ), =( X, Z ) ],
% 1.18/1.56 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_uminus'( Y, 'tc_set'( Z ) ),
% 1.18/1.56 Z ) ) ],
% 1.18/1.56 [ 'c_in'( X, Y, Z ), 'c_in'( X, 'c_uminus'( Y, 'tc_set'( Z ) ), Z ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ ~( 'c_lessequals'( 'c_uminus'( X, 'tc_set'( Y ) ), 'c_uminus'( Z,
% 1.18/1.56 'tc_set'( Y ) ), 'tc_set'( Y ) ) ), 'c_lessequals'( Z, X, 'tc_set'( Y ) )
% 1.18/1.56 ],
% 1.18/1.56 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_uminus'(
% 1.18/1.56 Y, 'tc_set'( Z ) ), 'c_uminus'( X, 'tc_set'( Z ) ), 'tc_set'( Z ) ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ =( 'c_minus'( X, 'c_uminus'( Y, 'tc_set'( Z ) ), 'tc_set'( Z ) ),
% 1.18/1.56 'c_inter'( X, Y, Z ) ) ],
% 1.18/1.56 [ =( 'c_minus'( X, 'c_UNIV', 'tc_set'( Y ) ), 'c_emptyset' ) ],
% 1.18/1.56 [ =( 'c_minus'( X, X, 'tc_set'( Y ) ), 'c_emptyset' ) ],
% 1.18/1.56 [ =( 'c_inter'( X, 'c_minus'( Y, X, 'tc_set'( Z ) ), Z ), 'c_emptyset' )
% 1.18/1.56 ],
% 1.18/1.56 [ =( 'c_minus'( X, 'c_emptyset', 'tc_set'( Y ) ), X ) ],
% 1.18/1.56 [ ~( =( 'c_minus'( X, Y, 'tc_set'( Z ) ), 'c_emptyset' ) ),
% 1.18/1.56 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ],
% 1.18/1.56 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), =( 'c_minus'( X, Y,
% 1.18/1.56 'tc_set'( Z ) ), 'c_emptyset' ) ],
% 1.18/1.56 [ =( 'c_minus'( 'c_minus'( X, Y, 'tc_set'( Z ) ), Y, 'tc_set'( Z ) ),
% 1.18/1.56 'c_minus'( X, Y, 'tc_set'( Z ) ) ) ],
% 1.18/1.56 [ ~( 'c_in'( X, 'c_minus'( Y, Z, 'tc_set'( T ) ), T ) ), 'c_in'( X, Y, T
% 1.18/1.56 ) ],
% 1.18/1.56 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_minus'( T, Y, 'tc_set'( Z ) )
% 1.18/1.56 , Z ) ) ],
% 1.18/1.56 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, T, Z ), 'c_in'( X, 'c_minus'( Y, T
% 1.18/1.56 , 'tc_set'( Z ) ), Z ) ],
% 1.18/1.56 [ 'c_in'( X, Y, Z ), =( 'c_minus'( Y, 'c_insert'( X, T, Z ), 'tc_set'( Z
% 1.18/1.56 ) ), 'c_minus'( Y, T, 'tc_set'( Z ) ) ) ],
% 1.18/1.56 [ ~( =( 'c_inter'( X, Y, Z ), 'c_UNIV' ) ), =( X, 'c_UNIV' ) ],
% 1.18/1.56 [ ~( =( 'c_inter'( X, Y, Z ), 'c_UNIV' ) ), =( Y, 'c_UNIV' ) ],
% 1.18/1.56 [ =( 'c_inter'( 'c_UNIV', 'c_UNIV', X ), 'c_UNIV' ) ],
% 1.18/1.56 [ =( 'c_inter'( 'c_UNIV', X, Y ), X ) ],
% 1.18/1.56 [ =( 'c_inter'( X, 'c_UNIV', Y ), X ) ],
% 1.18/1.56 [ =( 'c_inter'( X, X, Y ), X ) ],
% 1.18/1.56 [ =( 'c_inter'( 'c_emptyset', X, Y ), 'c_emptyset' ) ],
% 1.18/1.56 [ =( 'c_inter'( X, 'c_emptyset', Y ), 'c_emptyset' ) ],
% 1.18/1.56 [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Y, T ) ],
% 1.18/1.56 [ ~( 'c_in'( X, 'c_inter'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ) ],
% 1.18/1.56 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), 'c_in'( X, 'c_inter'(
% 1.18/1.56 T, Y, Z ), Z ) ],
% 1.18/1.56 [ ~( 'c_lessequals'( X, 'c_inter'( Y, Z, T ), 'tc_set'( T ) ) ),
% 1.18/1.56 'c_lessequals'( X, Y, 'tc_set'( T ) ) ],
% 1.18/1.56 [ ~( 'c_lessequals'( X, 'c_inter'( Y, Z, T ), 'tc_set'( T ) ) ),
% 1.18/1.56 'c_lessequals'( X, Z, 'tc_set'( T ) ) ],
% 1.18/1.56 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( X, T,
% 1.18/1.56 'tc_set'( Z ) ) ), 'c_lessequals'( X, 'c_inter'( T, Y, Z ), 'tc_set'( Z )
% 1.18/1.56 ) ],
% 1.18/1.56 [ =( 'c_Inter'( 'c_UNIV', X ), 'c_emptyset' ) ],
% 1.18/1.56 [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( =( 'c_Inter'( Y, Z ), 'c_UNIV'
% 1.18/1.56 ) ), =( X, 'c_UNIV' ) ],
% 1.18/1.56 [ 'c_in'( 'c_Main_OInter__UNIV__conv__1__1'( X, Y ), X, 'tc_set'( Y ) )
% 1.18/1.56 , =( 'c_Inter'( X, Y ), 'c_UNIV' ) ],
% 1.18/1.56 [ ~( =( 'c_Main_OInter__UNIV__conv__1__1'( X, Y ), 'c_UNIV' ) ), =(
% 1.18/1.56 'c_Inter'( X, Y ), 'c_UNIV' ) ],
% 1.18/1.56 [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( =( 'c_UNIV', 'c_Inter'( Y, Z )
% 1.18/1.56 ) ), =( X, 'c_UNIV' ) ],
% 1.18/1.56 [ 'c_in'( 'c_Main_OInter__UNIV__conv__2__1'( X, Y ), X, 'tc_set'( Y ) )
% 1.18/1.56 , =( 'c_UNIV', 'c_Inter'( X, Y ) ) ],
% 1.18/1.56 [ ~( =( 'c_Main_OInter__UNIV__conv__2__1'( X, Y ), 'c_UNIV' ) ), =(
% 1.18/1.56 'c_UNIV', 'c_Inter'( X, Y ) ) ],
% 1.18/1.56 [ =( 'c_Inter'( 'c_emptyset', X ), 'c_UNIV' ) ],
% 1.18/1.56 [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_in'( T, 'c_Inter'( Y, Z ), Z
% 1.18/1.56 ) ), 'c_in'( T, X, Z ) ],
% 1.18/1.56 [ 'c_in'( X, 'c_Inter'( Y, Z ), Z ), 'c_in'( 'c_Main_OInter__iff__1'( X
% 1.18/1.56 , Y, Z ), Y, 'tc_set'( Z ) ) ],
% 1.18/1.56 [ ~( 'c_in'( X, 'c_Main_OInter__iff__1'( X, Y, Z ), Z ) ), 'c_in'( X,
% 1.18/1.56 'c_Inter'( Y, Z ), Z ) ],
% 1.18/1.56 [ =( 'c_Inter'( 'c_insert'( X, Y, 'tc_set'( Z ) ), Z ), 'c_inter'( X,
% 1.18/1.56 'c_Inter'( Y, Z ), Z ) ) ],
% 1.18/1.56 [ =( 'c_Pow'( 'c_inter'( X, Y, Z ), Z ), 'c_inter'( 'c_Pow'( X, Z ),
% 1.18/1.56 'c_Pow'( Y, Z ), 'tc_set'( Z ) ) ) ],
% 1.18/1.56 [ =( 'c_Pow'( 'c_UNIV', X ), 'c_UNIV' ) ],
% 1.18/1.56 [ =( 'c_Pow'( 'c_emptyset', X ), 'c_insert'( 'c_emptyset', 'c_emptyset'
% 1.18/1.56 , 'tc_set'( X ) ) ) ],
% 1.18/1.56 [ ~( 'c_in'( X, 'c_Pow'( Y, Z ), 'tc_set'( Z ) ) ), 'c_lessequals'( X, Y
% 1.18/1.56 , 'tc_set'( Z ) ) ],
% 1.18/1.56 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_in'( X, 'c_Pow'( Y, Z )
% 1.18/1.56 , 'tc_set'( Z ) ) ],
% 1.18/1.56 [ ~( =( 'c_UNIV', 'c_emptyset' ) ) ],
% 1.18/1.56 [ =( 'c_union'( 'c_minus'( X, Y, 'tc_set'( Z ) ), Y, Z ), 'c_union'( X,
% 1.18/1.56 Y, Z ) ) ],
% 1.18/1.56 [ =( 'c_union'( X, 'c_minus'( Y, X, 'tc_set'( Z ) ), Z ), 'c_union'( X,
% 1.18/1.56 Y, Z ) ) ],
% 1.18/1.56 [ =( 'c_union'( 'c_UNIV', X, Y ), 'c_UNIV' ) ],
% 1.18/1.56 [ =( 'c_union'( X, 'c_UNIV', Y ), 'c_UNIV' ) ],
% 1.18/1.56 [ =( 'c_union'( X, X, Y ), X ) ],
% 1.18/1.56 [ ~( =( 'c_union'( X, Y, Z ), 'c_emptyset' ) ), =( X, 'c_emptyset' ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ ~( =( 'c_union'( X, Y, Z ), 'c_emptyset' ) ), =( Y, 'c_emptyset' ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ =( 'c_union'( 'c_emptyset', 'c_emptyset', X ), 'c_emptyset' ) ],
% 1.18/1.56 [ =( 'c_union'( 'c_emptyset', X, Y ), X ) ],
% 1.18/1.56 [ =( 'c_union'( X, 'c_emptyset', Y ), X ) ],
% 1.18/1.56 [ ~( 'c_in'( X, 'c_union'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ), 'c_in'(
% 1.18/1.56 X, Y, T ) ],
% 1.18/1.56 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( Y, T, Z ), Z ) ],
% 1.18/1.56 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( T, Y, Z ), Z ) ],
% 1.18/1.56 [ =( 'c_union'( 'c_insert'( X, Y, Z ), T, Z ), 'c_insert'( X, 'c_union'(
% 1.18/1.56 Y, T, Z ), Z ) ) ],
% 1.18/1.56 [ =( 'c_union'( X, 'c_insert'( Y, Z, T ), T ), 'c_insert'( Y, 'c_union'(
% 1.18/1.56 X, Z, T ), T ) ) ],
% 1.18/1.56 [ ~( 'c_lessequals'( 'c_union'( X, Y, Z ), T, 'tc_set'( Z ) ) ),
% 1.18/1.56 'c_lessequals'( X, T, 'tc_set'( Z ) ) ],
% 1.18/1.56 [ ~( 'c_lessequals'( 'c_union'( X, Y, Z ), T, 'tc_set'( Z ) ) ),
% 1.18/1.56 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ],
% 1.18/1.56 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( T, Y,
% 1.18/1.56 'tc_set'( Z ) ) ), 'c_lessequals'( 'c_union'( T, X, Z ), Y, 'tc_set'( Z )
% 1.18/1.56 ) ],
% 1.18/1.56 [ =( 'c_Union'( 'c_Pow'( X, Y ), Y ), X ) ],
% 1.18/1.56 [ =( 'c_Union'( 'c_UNIV', X ), 'c_UNIV' ) ],
% 1.18/1.56 [ =( 'c_Union'( 'c_union'( X, Y, 'tc_set'( Z ) ), Z ), 'c_union'(
% 1.18/1.56 'c_Union'( X, Z ), 'c_Union'( Y, Z ), Z ) ) ],
% 1.18/1.56 [ =( 'c_Union'( 'c_emptyset', X ), 'c_emptyset' ) ],
% 1.18/1.56 [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( =( 'c_Union'( Y, Z ),
% 1.18/1.56 'c_emptyset' ) ), =( X, 'c_emptyset' ) ],
% 1.18/1.56 [ 'c_in'( 'c_Main_OUnion__empty__conv__1'( X, Y ), X, 'tc_set'( Y ) ),
% 1.18/1.56 =( 'c_Union'( X, Y ), 'c_emptyset' ) ],
% 1.18/1.56 [ ~( =( 'c_Main_OUnion__empty__conv__1'( X, Y ), 'c_emptyset' ) ), =(
% 1.18/1.56 'c_Union'( X, Y ), 'c_emptyset' ) ],
% 1.18/1.56 [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'(
% 1.18/1.56 'c_Main_OUnion__iff__1'( X, Y, Z ), Y, 'tc_set'( Z ) ) ],
% 1.18/1.56 [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( X,
% 1.18/1.56 'c_Main_OUnion__iff__1'( X, Y, Z ), Z ) ],
% 1.18/1.56 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( Y, T, 'tc_set'( Z ) ) ), 'c_in'( X
% 1.18/1.56 , 'c_Union'( T, Z ), Z ) ],
% 1.18/1.56 [ =( 'c_Union'( 'c_insert'( X, Y, 'tc_set'( Z ) ), Z ), 'c_union'( X,
% 1.18/1.56 'c_Union'( Y, Z ), Z ) ) ],
% 1.18/1.56 [ 'c_in'( 'c_Main_Oall__not__in__conv__1'( X, Y ), X, Y ), =( X,
% 1.18/1.56 'c_emptyset' ) ],
% 1.18/1.56 [ =( 'c_Set_Ocontents'( 'c_insert'( X, 'c_emptyset', Y ), Y ), X ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ ~( 'c_in'( X, Y, Z ) ), ~( =( 'c_inter'( Y, 'c_insert'( X, T, Z ), Z )
% 1.18/1.56 , 'c_emptyset' ) ) ],
% 1.18/1.56 [ ~( =( 'c_inter'( X, 'c_insert'( Y, Z, T ), T ), 'c_emptyset' ) ), =(
% 1.18/1.56 'c_inter'( X, Z, T ), 'c_emptyset' ) ],
% 1.18/1.56 [ ~( =( 'c_inter'( X, Y, Z ), 'c_emptyset' ) ), 'c_in'( T, X, Z ), =(
% 1.18/1.56 'c_inter'( X, 'c_insert'( T, Y, Z ), Z ), 'c_emptyset' ) ],
% 1.18/1.56 [ ~( 'c_in'( X, Y, Z ) ), ~( =( 'c_emptyset', 'c_inter'( Y, 'c_insert'(
% 1.18/1.56 X, T, Z ), Z ) ) ) ],
% 1.18/1.56 [ ~( =( 'c_emptyset', 'c_inter'( X, 'c_insert'( Y, Z, T ), T ) ) ), =(
% 1.18/1.56 'c_emptyset', 'c_inter'( X, Z, T ) ) ],
% 1.18/1.56 [ ~( =( 'c_emptyset', 'c_inter'( X, Y, Z ) ) ), 'c_in'( T, X, Z ), =(
% 1.18/1.56 'c_emptyset', 'c_inter'( X, 'c_insert'( T, Y, Z ), Z ) ) ],
% 1.18/1.56 [ =( 'c_uminus'( 'c_uminus'( X, 'tc_set'( Y ) ), 'tc_set'( Y ) ), X ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ =( 'c_minus'( 'c_emptyset', X, 'tc_set'( Y ) ), 'c_emptyset' ) ],
% 1.18/1.56 [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), ~( =( 'c_emptyset', 'c_Union'( Y,
% 1.18/1.56 Z ) ) ), =( X, 'c_emptyset' ) ],
% 1.18/1.56 [ 'c_in'( 'c_Main_Oempty__Union__conv__1'( X, Y ), X, 'tc_set'( Y ) ),
% 1.18/1.56 =( 'c_emptyset', 'c_Union'( X, Y ) ) ],
% 1.18/1.56 [ ~( =( 'c_Main_Oempty__Union__conv__1'( X, Y ), 'c_emptyset' ) ), =(
% 1.18/1.56 'c_emptyset', 'c_Union'( X, Y ) ) ],
% 1.18/1.56 [ ~( 'c_in'( X, 'c_emptyset', Y ) ) ],
% 1.18/1.56 [ ~( =( 'c_emptyset', 'c_insert'( X, Y, Z ) ) ) ],
% 1.18/1.56 [ ~( 'c_in'( X, Y, Z ) ), =( 'c_minus'( 'c_insert'( X, T, Z ), Y,
% 1.18/1.56 'tc_set'( Z ) ), 'c_minus'( T, Y, 'tc_set'( Z ) ) ) ],
% 1.18/1.56 [ =( 'c_insert'( X, 'c_minus'( Y, 'c_insert'( X, 'c_emptyset', Z ),
% 1.18/1.56 'tc_set'( Z ) ), Z ), 'c_insert'( X, Y, Z ) ) ],
% 1.18/1.56 [ =( 'c_insert'( X, 'c_insert'( X, Y, Z ), Z ), 'c_insert'( X, Y, Z ) )
% 1.18/1.56 ],
% 1.18/1.56 [ ~( 'c_in'( X, Y, Z ) ), ~( =( 'c_inter'( 'c_insert'( X, T, Z ), Y, Z )
% 1.18/1.56 , 'c_emptyset' ) ) ],
% 1.18/1.56 [ ~( =( 'c_inter'( 'c_insert'( X, Y, Z ), T, Z ), 'c_emptyset' ) ), =(
% 1.18/1.56 'c_inter'( Y, T, Z ), 'c_emptyset' ) ],
% 1.18/1.56 [ ~( =( 'c_inter'( X, Y, Z ), 'c_emptyset' ) ), 'c_in'( T, Y, Z ), =(
% 1.18/1.56 'c_inter'( 'c_insert'( T, X, Z ), Y, Z ), 'c_emptyset' ) ],
% 1.18/1.56 [ ~( 'c_in'( X, Y, Z ) ), ~( =( 'c_emptyset', 'c_inter'( 'c_insert'( X,
% 1.18/1.56 T, Z ), Y, Z ) ) ) ],
% 1.18/1.56 [ ~( =( 'c_emptyset', 'c_inter'( 'c_insert'( X, Y, Z ), T, Z ) ) ), =(
% 1.18/1.56 'c_emptyset', 'c_inter'( Y, T, Z ) ) ],
% 1.18/1.56 [ ~( =( 'c_emptyset', 'c_inter'( X, Y, Z ) ) ), 'c_in'( T, Y, Z ), =(
% 1.18/1.56 'c_emptyset', 'c_inter'( 'c_insert'( T, X, Z ), Y, Z ) ) ],
% 1.18/1.56 [ ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ), =( X, Y
% 1.18/1.56 ) ],
% 1.18/1.56 [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ],
% 1.18/1.56 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_insert'( T, Y, Z ), Z ) ],
% 1.18/1.56 [ =( 'c_inter'( 'c_insert'( X, Y, Z ), 'c_insert'( X, T, Z ), Z ),
% 1.18/1.56 'c_insert'( X, 'c_inter'( Y, T, Z ), Z ) ) ],
% 1.18/1.56 [ ~( =( 'c_insert'( X, Y, Z ), 'c_emptyset' ) ) ],
% 1.18/1.56 [ ~( 'c_lessequals'( 'c_insert'( X, Y, Z ), T, 'tc_set'( Z ) ) ), 'c_in'(
% 1.18/1.56 X, T, Z ) ],
% 1.18/1.56 [ ~( 'c_lessequals'( 'c_insert'( X, Y, Z ), T, 'tc_set'( Z ) ) ),
% 1.18/1.56 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ],
% 1.18/1.56 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( T, Y, 'tc_set'( Z ) ) ),
% 1.18/1.56 'c_lessequals'( 'c_insert'( X, T, Z ), Y, 'tc_set'( Z ) ) ],
% 1.18/1.56 [ ~( 'c_less'( X, 'c_emptyset', 'tc_set'( Y ) ) ) ],
% 1.18/1.56 [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, T, Y ) ) ), =(
% 1.18/1.56 Z, X ) ],
% 1.18/1.56 [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, T, Y ) ) ),
% 1.18/1.56 'c_lessequals'( T, 'c_insert'( X, 'c_emptyset', Y ), 'tc_set'( Y ) ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ ~( 'c_lessequals'( X, 'c_insert'( Y, 'c_emptyset', Z ), 'tc_set'( Z )
% 1.18/1.56 ) ), =( 'c_insert'( Y, 'c_emptyset', Z ), 'c_insert'( Y, X, Z ) ) ],
% 1.18/1.56 [ ~( =( 'c_insert'( X, Y, Z ), 'c_insert'( T, 'c_emptyset', Z ) ) ), =(
% 1.18/1.56 X, T ) ],
% 1.18/1.56 [ ~( =( 'c_insert'( X, Y, Z ), 'c_insert'( T, 'c_emptyset', Z ) ) ),
% 1.18/1.56 'c_lessequals'( Y, 'c_insert'( T, 'c_emptyset', Z ), 'tc_set'( Z ) ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ ~( 'c_lessequals'( X, 'c_insert'( Y, 'c_emptyset', Z ), 'tc_set'( Z )
% 1.18/1.56 ) ), =( 'c_insert'( Y, X, Z ), 'c_insert'( Y, 'c_emptyset', Z ) ) ],
% 1.18/1.56 [ 'c_lessequals'( X, 'c_UNIV', 'tc_set'( Y ) ) ],
% 1.18/1.56 [ ~( 'c_lessequals'( X, 'c_emptyset', 'tc_set'( Y ) ) ), =( X,
% 1.18/1.56 'c_emptyset' ) ],
% 1.18/1.56 [ 'c_lessequals'( 'c_emptyset', 'c_emptyset', 'tc_set'( X ) ) ],
% 1.18/1.56 [ ~( =( 'c_Sum__Type_OInl'( X, Y, Z ), 'c_Sum__Type_OInl'( T, Y, Z ) ) )
% 1.18/1.56 , =( X, T ) ],
% 1.18/1.56 [ ~( =( 'c_Sum__Type_OInl'( X, Y, Z ), 'c_Sum__Type_OInr'( T, Z, Y ) ) )
% 1.18/1.56 ],
% 1.18/1.56 [ ~( =( 'c_Sum__Type_OInr'( X, Y, Z ), 'c_Sum__Type_OInr'( T, Y, Z ) ) )
% 1.18/1.56 , =( X, T ) ],
% 1.18/1.56 [ ~( =( 'c_Sum__Type_OInr'( X, Y, Z ), 'c_Sum__Type_OInl'( T, Z, Y ) ) )
% 1.18/1.56 ],
% 1.18/1.56 [ =( 'c_Sum__Type_OPlus'( 'c_UNIV', 'c_UNIV', X, Y ), 'c_UNIV' ) ],
% 1.18/1.56 [ =( 'c_Relation_ODomain'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y,
% 1.18/1.56 Y ), 'c_UNIV' ) ],
% 1.18/1.56 [ =( 'c_Relation_ORange'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y
% 1.18/1.56 ), 'c_UNIV' ) ],
% 1.18/1.56 [ =( 'c_union'( 'c_Transitive__Closure_Otrancl'( X, Y ),
% 1.18/1.56 'c_Relation_OId', 'tc_prod'( Y, Y ) ), 'c_Transitive__Closure_Ortrancl'(
% 1.18/1.56 X, Y ) ) ],
% 1.18/1.56 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_emptyset', X ),
% 1.18/1.56 'c_Relation_OId' ) ],
% 1.18/1.56 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Transitive__Closure_Ortrancl'(
% 1.18/1.56 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 1.18/1.56 [ =( 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 1.18/1.56 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ),
% 1.18/1.56 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 1.18/1.56 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_union'( X, 'c_Relation_OId',
% 1.18/1.56 'tc_prod'( Y, Y ) ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ =( 'c_Relation_ODomain'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 1.18/1.56 ), 'c_Relation_ODomain'( X, Y, Y ) ) ],
% 1.18/1.56 [ =( 'c_Transitive__Closure_Otrancl'( 'c_emptyset', X ), 'c_emptyset' )
% 1.18/1.56 ],
% 1.18/1.56 [ =( 'c_Relation_ORange'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 1.18/1.56 ), 'c_Relation_ORange'( X, Y, Y ) ) ],
% 1.18/1.56 [ =( 'c_Transitive__Closure_Otrancl'( 'c_union'( X, 'c_Relation_OId',
% 1.18/1.56 'tc_prod'( Y, Y ) ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_Relation_Oconverse'( X, Y,
% 1.18/1.56 Y ), Y ) ), 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ],
% 1.18/1.56 [ ~( 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ),
% 1.18/1.56 'c_Wellfounded__Recursion_Oacyclic'( 'c_Relation_Oconverse'( X, Y, Y ), Y
% 1.18/1.56 ) ],
% 1.18/1.56 [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( X, Y, Z
% 1.18/1.56 , Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), 'c_Wellfounded__Recursion_Oacyclic'(
% 1.18/1.56 T, Z ) ],
% 1.18/1.56 [ ~( 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( X, Y, Z
% 1.18/1.56 , Z ), T, 'tc_prod'( Z, Z ) ), Z ) ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 1.18/1.56 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 1.18/1.56 [ ~( 'c_Wellfounded__Recursion_Oacyclic'( X, Y ) ),
% 1.18/1.56 'c_Wellfounded__Recursion_Oacyclic'( 'c_insert'( 'c_Pair'( Z, T, Y, Y ),
% 1.18/1.56 X, 'tc_prod'( Y, Y ) ), Y ), 'c_in'( 'c_Pair'( T, Z, Y, Y ),
% 1.18/1.56 'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ],
% 1.18/1.56 [ ~( 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( X, Y, Z, Z )
% 1.18/1.56 , T, 'tc_prod'( Z, Z ) ), Z ) ), 'c_Wellfounded__Recursion_Owf'( T, Z ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ ~( 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( X, Y, Z, Z )
% 1.18/1.56 , T, 'tc_prod'( Z, Z ) ), Z ) ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 1.18/1.56 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 1.18/1.56 [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ),
% 1.18/1.56 'c_Wellfounded__Recursion_Owf'( 'c_insert'( 'c_Pair'( Z, T, Y, Y ), X,
% 1.18/1.56 'tc_prod'( Y, Y ) ), Y ), 'c_in'( 'c_Pair'( T, Z, Y, Y ),
% 1.18/1.56 'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ],
% 1.18/1.56 [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), ~( 'c_in'( 'c_Pair'( Z, Z
% 1.18/1.56 , Y, Y ), X, 'tc_prod'( Y, Y ) ) ) ],
% 1.18/1.56 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat' ),
% 1.18/1.56 'c_Wellfounded__Relations_Oless__than', 'tc_prod'( 'tc_nat', 'tc_nat' ) )
% 1.18/1.56 ), 'c_less'( X, Y, 'tc_nat' ) ],
% 1.18/1.56 [ ~( 'c_less'( X, Y, 'tc_nat' ) ), 'c_in'( 'c_Pair'( X, Y, 'tc_nat',
% 1.18/1.56 'tc_nat' ), 'c_Wellfounded__Relations_Oless__than', 'tc_prod'( 'tc_nat',
% 1.18/1.56 'tc_nat' ) ) ],
% 1.18/1.56 [ ~( =( 'c_Datatype__Universe_OLeaf'( X, Y, Z ),
% 1.18/1.56 'c_Datatype__Universe_OLeaf'( T, Y, Z ) ) ), =( X, T ) ],
% 1.18/1.56 [ ~( =( 'c_Datatype__Universe_ONumb'( X, Y, Z ),
% 1.18/1.56 'c_Datatype__Universe_ONumb'( T, Y, Z ) ) ), =( X, T ) ],
% 1.18/1.56 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U ), 'tc_prod'(
% 1.18/1.56 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.18/1.56 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), =( X, 'c_Pair'(
% 1.18/1.56 'c_Datatype__Universe_OScons'( 'c_Main_OdprodE__1'( X, Y, Z, T, U ),
% 1.18/1.56 'c_Main_OdprodE__2'( X, Y, Z, T, U ), T, U ),
% 1.18/1.56 'c_Datatype__Universe_OScons'( 'c_Main_OdprodE__3'( X, Y, Z, T, U ),
% 1.18/1.56 'c_Main_OdprodE__4'( X, Y, Z, T, U ), T, U ), 'tc_set'(
% 1.18/1.56 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.18/1.56 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.18/1.56 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U ), 'tc_prod'(
% 1.18/1.56 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.18/1.56 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 1.18/1.56 'c_Main_OdprodE__2'( X, Y, Z, T, U ), 'c_Main_OdprodE__4'( X, Y, Z, T, U
% 1.18/1.56 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.18/1.56 'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'(
% 1.18/1.56 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.18/1.56 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.18/1.56 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odprod'( Y, Z, T, U ), 'tc_prod'(
% 1.18/1.56 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.18/1.56 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 1.18/1.56 'c_Main_OdprodE__1'( X, Y, Z, T, U ), 'c_Main_OdprodE__3'( X, Y, Z, T, U
% 1.18/1.56 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.18/1.56 'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'(
% 1.18/1.56 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.18/1.56 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.18/1.56 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 1.18/1.56 , T ) ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U,
% 1.18/1.56 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.18/1.56 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), ~( 'c_in'( 'c_Pair'( W, V0
% 1.18/1.56 , 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.18/1.56 'tc_Datatype__Universe_Onode'( Z, T ) ) ), V1, 'tc_prod'( 'tc_set'(
% 1.18/1.56 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.18/1.56 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'(
% 1.18/1.56 'c_Datatype__Universe_OScons'( W, X, Z, T ),
% 1.18/1.56 'c_Datatype__Universe_OScons'( V0, Y, Z, T ), 'tc_set'(
% 1.18/1.56 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.18/1.56 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odprod'(
% 1.18/1.56 V1, U, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.18/1.56 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ],
% 1.18/1.56 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'(
% 1.18/1.56 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.18/1.56 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), =( X, 'c_Pair'(
% 1.18/1.56 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__1'( Y, X, T, U ), T, U ),
% 1.18/1.56 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__2'( Y, X, T, U ), T, U ),
% 1.18/1.56 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.18/1.56 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'(
% 1.18/1.56 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__3'( Z, X, T, U ), T, U ),
% 1.18/1.56 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__4'( Z, X, T, U ), T, U ),
% 1.18/1.56 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.18/1.56 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.18/1.56 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'(
% 1.18/1.56 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.18/1.56 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 1.18/1.56 'c_Main_OdsumE__3'( Z, X, T, U ), 'c_Main_OdsumE__4'( Z, X, T, U ),
% 1.18/1.56 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.18/1.56 'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'(
% 1.18/1.56 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.18/1.56 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'(
% 1.18/1.56 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__1'( Y, X, T, U ), T, U ),
% 1.18/1.56 'c_Datatype__Universe_OIn0'( 'c_Main_OdsumE__2'( Y, X, T, U ), T, U ),
% 1.18/1.56 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.18/1.56 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.18/1.56 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'(
% 1.18/1.56 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.18/1.56 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 1.18/1.56 'c_Main_OdsumE__1'( Y, X, T, U ), 'c_Main_OdsumE__2'( Y, X, T, U ),
% 1.18/1.56 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.18/1.56 'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'(
% 1.18/1.56 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.18/1.56 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X, 'c_Pair'(
% 1.18/1.56 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__3'( Z, X, T, U ), T, U ),
% 1.18/1.56 'c_Datatype__Universe_OIn1'( 'c_Main_OdsumE__4'( Z, X, T, U ), T, U ),
% 1.18/1.56 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.18/1.56 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.18/1.56 [ ~( 'c_in'( X, 'c_Datatype__Universe_Odsum'( Y, Z, T, U ), 'tc_prod'(
% 1.18/1.56 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.18/1.56 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ), 'c_in'( 'c_Pair'(
% 1.18/1.56 'c_Main_OdsumE__1'( Y, X, T, U ), 'c_Main_OdsumE__2'( Y, X, T, U ),
% 1.18/1.56 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.18/1.56 'tc_Datatype__Universe_Onode'( T, U ) ) ), Y, 'tc_prod'( 'tc_set'(
% 1.18/1.56 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.18/1.56 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Pair'(
% 1.18/1.56 'c_Main_OdsumE__3'( Z, X, T, U ), 'c_Main_OdsumE__4'( Z, X, T, U ),
% 1.18/1.56 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.18/1.56 'tc_Datatype__Universe_Onode'( T, U ) ) ), Z, 'tc_prod'( 'tc_set'(
% 1.18/1.56 'tc_Datatype__Universe_Onode'( T, U ) ), 'tc_set'(
% 1.18/1.56 'tc_Datatype__Universe_Onode'( T, U ) ) ) ) ],
% 1.18/1.56 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 1.18/1.56 , T ) ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U,
% 1.18/1.56 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.18/1.56 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'(
% 1.18/1.56 'c_Datatype__Universe_OIn0'( X, Z, T ), 'c_Datatype__Universe_OIn0'( Y, Z
% 1.18/1.56 , T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.18/1.56 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odsum'(
% 1.18/1.56 U, W, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.18/1.56 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ],
% 1.18/1.56 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z
% 1.18/1.56 , T ) ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ), U,
% 1.18/1.56 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.18/1.56 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ), 'c_in'( 'c_Pair'(
% 1.18/1.56 'c_Datatype__Universe_OIn1'( X, Z, T ), 'c_Datatype__Universe_OIn1'( Y, Z
% 1.18/1.56 , T ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ), 'tc_set'(
% 1.18/1.56 'tc_Datatype__Universe_Onode'( Z, T ) ) ), 'c_Datatype__Universe_Odsum'(
% 1.18/1.56 W, U, Z, T ), 'tc_prod'( 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T )
% 1.18/1.56 ), 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ) ],
% 1.18/1.56 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U ), 'tc_set'(
% 1.18/1.56 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X,
% 1.18/1.56 'c_Datatype__Universe_OScons'( 'c_Main_OuprodE__1'( Y, Z, X, T, U ),
% 1.18/1.56 'c_Main_OuprodE__2'( Y, Z, X, T, U ), T, U ) ) ],
% 1.18/1.56 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U ), 'tc_set'(
% 1.18/1.56 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OuprodE__2'(
% 1.18/1.56 Y, Z, X, T, U ), Z, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ouprod'( Y, Z, T, U ), 'tc_set'(
% 1.18/1.56 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OuprodE__1'(
% 1.18/1.56 Y, Z, X, T, U ), Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 1.18/1.56 , ~( 'c_in'( U, W, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 1.18/1.56 , 'c_in'( 'c_Datatype__Universe_OScons'( U, X, Z, T ),
% 1.18/1.56 'c_Datatype__Universe_Ouprod'( W, Y, Z, T ), 'tc_set'(
% 1.18/1.56 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ],
% 1.18/1.56 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'(
% 1.18/1.56 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), =( X,
% 1.18/1.56 'c_Datatype__Universe_OIn0'( 'c_Main_OusumE__1'( Y, X, T, U ), T, U ) ),
% 1.18/1.56 =( X, 'c_Datatype__Universe_OIn1'( 'c_Main_OusumE__2'( Z, X, T, U ), T, U
% 1.18/1.56 ) ) ],
% 1.18/1.56 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'(
% 1.18/1.56 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OusumE__2'(
% 1.18/1.56 Z, X, T, U ), Z, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ), =(
% 1.18/1.56 X, 'c_Datatype__Universe_OIn0'( 'c_Main_OusumE__1'( Y, X, T, U ), T, U )
% 1.18/1.56 ) ],
% 1.18/1.56 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'(
% 1.18/1.56 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OusumE__1'(
% 1.18/1.56 Y, X, T, U ), Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ), =(
% 1.18/1.56 X, 'c_Datatype__Universe_OIn1'( 'c_Main_OusumE__2'( Z, X, T, U ), T, U )
% 1.18/1.56 ) ],
% 1.18/1.56 [ ~( 'c_in'( X, 'c_Datatype__Universe_Ousum'( Y, Z, T, U ), 'tc_set'(
% 1.18/1.56 'tc_Datatype__Universe_Onode'( T, U ) ) ) ), 'c_in'( 'c_Main_OusumE__1'(
% 1.18/1.56 Y, X, T, U ), Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( T, U ) ) ),
% 1.18/1.56 'c_in'( 'c_Main_OusumE__2'( Z, X, T, U ), Z, 'tc_set'(
% 1.18/1.56 'tc_Datatype__Universe_Onode'( T, U ) ) ) ],
% 1.18/1.56 [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 1.18/1.56 , 'c_in'( 'c_Datatype__Universe_OIn0'( X, Z, T ),
% 1.18/1.56 'c_Datatype__Universe_Ousum'( Y, U, Z, T ), 'tc_set'(
% 1.18/1.56 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ],
% 1.18/1.56 [ ~( 'c_in'( X, Y, 'tc_set'( 'tc_Datatype__Universe_Onode'( Z, T ) ) ) )
% 1.18/1.56 , 'c_in'( 'c_Datatype__Universe_OIn1'( X, Z, T ),
% 1.18/1.56 'c_Datatype__Universe_Ousum'( U, Y, Z, T ), 'tc_set'(
% 1.18/1.56 'tc_Datatype__Universe_Onode'( Z, T ) ) ) ],
% 1.18/1.56 [ 'c_Divides_Oop_Advd'( X, 'c_0', 'tc_nat' ) ],
% 1.18/1.56 [ 'c_Divides_Oop_Advd'( 'c_Suc'( 'c_0' ), X, 'tc_nat' ) ],
% 1.18/1.56 [ 'c_Divides_Oop_Advd'( X, 'c_times'( X, Y, 'tc_nat' ), 'tc_nat' ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ 'c_Divides_Oop_Advd'( X, 'c_times'( Y, X, 'tc_nat' ), 'tc_nat' ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ ~( =( 'c_Divides_Oop_Amod'( X, Y, 'tc_nat' ), 'c_0' ) ), =( X,
% 1.18/1.56 'c_times'( Y, 'c_Main_Omod__eq__0D__dest__1'( Y, X ), 'tc_nat' ) ) ],
% 1.18/1.56 [ 'c_in'( 'c_emptyset', 'c_Finite__Set_OFinites', 'tc_set'( X ) ) ],
% 1.18/1.56 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'(
% 1.18/1.56 'c_insert'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 1.18/1.56 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'(
% 1.18/1.56 'c_inter'( X, Z, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 1.18/1.56 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ), 'c_in'(
% 1.18/1.56 'c_inter'( Z, X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 1.18/1.56 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'( Y ) ) ) )
% 1.18/1.56 , 'c_in'( 'c_Main_Ofinite__Union__1'( X, Y ), X, 'tc_set'( Y ) ), 'c_in'(
% 1.18/1.56 'c_Union'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y ) ) ],
% 1.18/1.56 [ ~( 'c_in'( X, 'c_Finite__Set_OFinites', 'tc_set'( 'tc_set'( Y ) ) ) )
% 1.18/1.56 , ~( 'c_in'( 'c_Main_Ofinite__Union__1'( X, Y ), 'c_Finite__Set_OFinites'
% 1.18/1.56 , 'tc_set'( Y ) ) ), 'c_in'( 'c_Union'( X, Y ), 'c_Finite__Set_OFinites'
% 1.18/1.56 , 'tc_set'( Y ) ) ],
% 1.18/1.56 [ 'c_Divides_Oop_Advd'( 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat'
% 1.18/1.56 ) ), X, 'tc_nat' ) ],
% 1.18/1.56 [ 'c_Divides_Oop_Advd'( 'c_GCD_Ogcd'( 'c_Pair'( X, Y, 'tc_nat', 'tc_nat'
% 1.18/1.56 ) ), Y, 'tc_nat' ) ],
% 1.18/1.56 [ ~( 'c_Infinite__Set_Oatmost__one'( X, Y ) ), ~( 'c_in'( Z, X, Y ) ),
% 1.18/1.56 ~( 'c_in'( T, X, Y ) ), =( Z, T ) ],
% 1.18/1.56 [ 'c_lessequals'( 'c_uminus'( 'c_IntDef_Oint'( X ), 'tc_IntDef_Oint' ),
% 1.18/1.56 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ],
% 1.18/1.56 [ 'c_less'( 'c_uminus'( 'c_IntDef_Oint'( 'c_Suc'( X ) ),
% 1.18/1.56 'tc_IntDef_Oint' ), 'c_IntDef_Oint'( Y ), 'tc_IntDef_Oint' ) ],
% 1.18/1.56 [ 'c_Divides_Oop_Advd'( X, 'c_0', 'tc_IntDef_Oint' ) ],
% 1.18/1.56 [ 'c_Divides_Oop_Advd'( 'c_1', X, 'tc_IntDef_Oint' ) ],
% 1.18/1.56 [ 'c_Divides_Oop_Advd'( X, 'c_times'( X, Y, 'tc_IntDef_Oint' ),
% 1.18/1.56 'tc_IntDef_Oint' ) ],
% 1.18/1.56 [ 'c_Divides_Oop_Advd'( X, 'c_times'( Y, X, 'tc_IntDef_Oint' ),
% 1.18/1.56 'tc_IntDef_Oint' ) ],
% 1.18/1.56 [ ~( =( 'c_Divides_Oop_Amod'( X, Y, 'tc_IntDef_Oint' ), 'c_0' ) ), =( X
% 1.18/1.56 , 'c_times'( Y, 'c_Main_Ozmod__eq__0D__dest__1'( Y, X ), 'tc_IntDef_Oint'
% 1.18/1.56 ) ) ],
% 1.18/1.56 [ 'c_List_Odistinct'( 'c_List_Oremdups'( X, Y ), Y ) ],
% 1.18/1.56 [ 'c_in'( 'c_List_Oset'( X, Y ), 'c_Finite__Set_OFinites', 'tc_set'( Y )
% 1.18/1.56 ) ],
% 1.18/1.56 [ ~( 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ), ~(
% 1.18/1.56 'c_in'( T, 'c_List_Oset'( X, Z ), Z ) ), 'c_in'( T, Y, Z ) ],
% 1.18/1.56 [ 'c_in'( X, 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ), 'c_in'(
% 1.18/1.56 'c_Main_Oin__listsI__1'( Y, X, Z ), 'c_List_Oset'( X, Z ), Z ) ],
% 1.18/1.56 [ ~( 'c_in'( 'c_Main_Oin__listsI__1'( X, Y, Z ), X, Z ) ), 'c_in'( Y,
% 1.18/1.56 'c_List_Olists'( X, Z ), 'tc_List_Olist'( Z ) ) ],
% 1.18/1.56 [ 'c_lessequals'( 'c_Nat_Osize'( 'c_List_Oremdups'( X, Y ),
% 1.18/1.56 'tc_List_Olist'( Y ) ), 'c_Nat_Osize'( X, 'tc_List_Olist'( Y ) ),
% 1.18/1.56 'tc_nat' ) ],
% 1.18/1.56 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T,
% 1.18/1.56 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ),
% 1.18/1.56 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), =( T,
% 1.18/1.56 'c_List_Olist_OCons'( 'c_Main_Olistrel__Cons1__1'( U, T, X, Y, Z ),
% 1.18/1.56 'c_Main_Olistrel__Cons1__2'( U, T, X, Y, Z ), Z ) ) ],
% 1.18/1.56 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T,
% 1.18/1.56 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ),
% 1.18/1.56 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'(
% 1.18/1.56 'c_Pair'( Y, 'c_Main_Olistrel__Cons1__2'( U, T, X, Y, Z ),
% 1.18/1.56 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ),
% 1.18/1.56 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ],
% 1.18/1.56 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_OCons'( X, Y, Z ), T,
% 1.18/1.56 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ), 'c_List_Olistrel'( U, Z ),
% 1.18/1.56 'tc_prod'( 'tc_List_Olist'( Z ), 'tc_List_Olist'( Z ) ) ) ), 'c_in'(
% 1.18/1.56 'c_Pair'( X, 'c_Main_Olistrel__Cons1__1'( U, T, X, Y, Z ), Z, Z ), U,
% 1.18/1.56 'tc_prod'( Z, Z ) ) ],
% 1.18/1.56 [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ),
% 1.18/1.56 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ),
% 1.18/1.56 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), =( X,
% 1.18/1.56 'c_List_Olist_OCons'( 'c_Main_Olistrel__Cons2__1'( U, X, Y, Z, T ),
% 1.18/1.56 'c_Main_Olistrel__Cons2__2'( U, X, Y, Z, T ), T ) ) ],
% 1.18/1.56 [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ),
% 1.18/1.56 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ),
% 1.18/1.56 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), 'c_in'(
% 1.18/1.56 'c_Pair'( 'c_Main_Olistrel__Cons2__2'( U, X, Y, Z, T ), Z,
% 1.18/1.56 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ),
% 1.18/1.56 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ],
% 1.18/1.56 [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_OCons'( Y, Z, T ),
% 1.18/1.56 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ), 'c_List_Olistrel'( U, T ),
% 1.18/1.56 'tc_prod'( 'tc_List_Olist'( T ), 'tc_List_Olist'( T ) ) ) ), 'c_in'(
% 1.18/1.56 'c_Pair'( 'c_Main_Olistrel__Cons2__1'( U, X, Y, Z, T ), Y, T, T ), U,
% 1.18/1.56 'tc_prod'( T, T ) ) ],
% 1.18/1.56 [ ~( 'c_in'( 'c_Pair'( 'c_List_Olist_ONil', X, 'tc_List_Olist'( Y ),
% 1.18/1.56 'tc_List_Olist'( Y ) ), 'c_List_Olistrel'( Z, Y ), 'tc_prod'(
% 1.18/1.56 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X,
% 1.18/1.56 'c_List_Olist_ONil' ) ],
% 1.18/1.56 [ ~( 'c_in'( 'c_Pair'( X, 'c_List_Olist_ONil', 'tc_List_Olist'( Y ),
% 1.18/1.56 'tc_List_Olist'( Y ) ), 'c_List_Olistrel'( Z, Y ), 'tc_prod'(
% 1.18/1.56 'tc_List_Olist'( Y ), 'tc_List_Olist'( Y ) ) ) ), =( X,
% 1.18/1.56 'c_List_Olist_ONil' ) ],
% 1.18/1.56 [ ~( 'c_in'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olists'( T, Z ),
% 1.18/1.56 'tc_List_Olist'( Z ) ) ), 'c_in'( Y, 'c_List_Olists'( T, Z ),
% 1.18/1.56 'tc_List_Olist'( Z ) ) ],
% 1.18/1.56 [ ~( 'c_in'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olists'( T, Z ),
% 1.18/1.56 'tc_List_Olist'( Z ) ) ), 'c_in'( X, T, Z ) ],
% 1.18/1.56 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( T, 'c_List_Olists'( Y, Z ),
% 1.18/1.56 'tc_List_Olist'( Z ) ) ), 'c_in'( 'c_List_Olist_OCons'( X, T, Z ),
% 1.18/1.56 'c_List_Olists'( Y, Z ), 'tc_List_Olist'( Z ) ) ],
% 1.18/1.56 [ 'c_in'( 'c_List_Olist_ONil', 'c_List_Olists'( X, Y ), 'tc_List_Olist'(
% 1.18/1.56 Y ) ) ],
% 1.18/1.56 [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ),
% 1.18/1.56 'c_Wellfounded__Recursion_Owf'( 'c_List_Olenlex'( X, Y ), 'tc_List_Olist'(
% 1.18/1.56 Y ) ) ],
% 1.18/1.56 [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ),
% 1.18/1.56 'c_Wellfounded__Recursion_Owf'( 'c_List_Olex'( X, Y ), 'tc_List_Olist'( Y
% 1.18/1.56 ) ) ],
% 1.18/1.56 [ 'c_lessequals'( 'c_0', X, 'tc_nat' ) ],
% 1.18/1.56 [ 'c_less'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 1.18/1.56 [ ~( 'c_less'( X, X, 'tc_nat' ) ) ],
% 1.18/1.56 [ 'c_less'( 'c_0', 'c_Suc'( X ), 'tc_nat' ) ],
% 1.18/1.56 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.18/1.56 [ ~( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ) ), 'c_in'( 'c_Pair'(
% 1.18/1.56 X, 'c_Main_ODomainE__1'( X, Y, Z, T ), Z, T ), Y, 'tc_prod'( Z, T ) ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'( X
% 1.18/1.56 , 'c_Relation_ODomain'( U, Z, T ), Z ) ],
% 1.18/1.56 [ ~( 'c_in'( X, 'c_Relation_OId', 'tc_prod'( Y, Y ) ) ), =( X, 'c_Pair'(
% 1.18/1.56 'c_Main_OIdE__1'( X, Y ), 'c_Main_OIdE__1'( X, Y ), Y, Y ) ) ],
% 1.18/1.56 [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ), 'c_in'(
% 1.18/1.56 'c_Main_OImageE__1'( Z, X, Y, T, U ), Z, T ) ],
% 1.18/1.56 [ ~( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ), 'c_in'(
% 1.18/1.56 'c_Pair'( 'c_Main_OImageE__1'( Z, X, Y, T, U ), X, T, U ), Y, 'tc_prod'(
% 1.18/1.56 T, U ) ) ],
% 1.18/1.56 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( 'c_Pair'( X, T, Z, U ), W,
% 1.18/1.56 'tc_prod'( Z, U ) ) ), 'c_in'( T, 'c_Relation_OImage'( W, Y, Z, U ), U )
% 1.18/1.56 ],
% 1.18/1.56 [ ~( 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ) ), 'c_in'( 'c_Pair'(
% 1.18/1.56 'c_Main_ORangeE__1'( X, Y, T, Z ), X, Z, T ), Y, 'tc_prod'( Z, T ) ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), 'c_in'( Y
% 1.18/1.56 , 'c_Relation_ORange'( U, Z, T ), T ) ],
% 1.18/1.56 [ ~( 'c_in'( X, 'c_Relation_Oconverse'( Y, Z, T ), 'tc_prod'( T, Z ) ) )
% 1.18/1.56 , 'c_in'( 'c_Pair'( 'c_Main_OconverseE__1'( Y, X, Z, T ),
% 1.18/1.56 'c_Main_OconverseE__2'( Y, X, Z, T ), Z, T ), Y, 'tc_prod'( Z, T ) ) ]
% 1.18/1.56 ,
% 1.18/1.56 [ ~( 'c_in'( X, 'c_Relation_Oconverse'( Y, Z, T ), 'tc_prod'( T, Z ) ) )
% 1.18/1.56 , =( X, 'c_Pair'( 'c_Main_OconverseE__2'( Y, X, Z, T ),
% 1.18/1.56 'c_Main_OconverseE__1'( Y, X, Z, T ), T, Z ) ) ],
% 1.18/1.56 [ ~( 'c_in'( X, 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ), =( X
% 1.18/1.56 , 'c_Pair'( 'c_Main_OdiagE__1'( Y, X, Z ), 'c_Main_OdiagE__1'( Y, X, Z )
% 1.18/1.56 , Z, Z ) ) ],
% 1.18/1.56 [ ~( 'c_in'( X, 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ),
% 1.18/1.56 'c_in'( 'c_Main_OdiagE__1'( Y, X, Z ), Y, Z ) ],
% 1.18/1.56 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Pair'( X, X, Z, Z ),
% 1.18/1.56 'c_Relation_Odiag'( Y, Z ), 'tc_prod'( Z, Z ) ) ],
% 1.18/1.56 [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 'tc_prod'( W,
% 1.18/1.56 U ) ) ), 'c_in'( 'c_Pair'( 'c_Main_Orel__compE__2'( Y, Z, X, T, U, W ),
% 1.18/1.56 'c_Main_Orel__compE__3'( Y, Z, X, T, U, W ), T, U ), Y, 'tc_prod'( T, U )
% 1.18/1.56 ) ],
% 1.18/1.56 [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 'tc_prod'( W,
% 1.18/1.56 U ) ) ), 'c_in'( 'c_Pair'( 'c_Main_Orel__compE__1'( Y, Z, X, T, U, W ),
% 1.18/1.56 'c_Main_Orel__compE__2'( Y, Z, X, T, U, W ), W, T ), Z, 'tc_prod'( W, T )
% 1.18/1.56 ) ],
% 1.18/1.56 [ ~( 'c_in'( X, 'c_Relation_Orel__comp'( Y, Z, T, U, W ), 'tc_prod'( W,
% 1.18/1.56 U ) ) ), =( X, 'c_Pair'( 'c_Main_Orel__compE__1'( Y, Z, X, T, U, W ),
% 1.18/1.56 'c_Main_Orel__compE__3'( Y, Z, X, T, U, W ), W, U ) ) ],
% 1.18/1.56 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), ~( 'c_in'(
% 1.18/1.56 'c_Pair'( W, X, V0, Z ), V1, 'tc_prod'( V0, Z ) ) ), 'c_in'( 'c_Pair'( W
% 1.18/1.56 , Y, V0, T ), 'c_Relation_Orel__comp'( U, V1, Z, T, V0 ), 'tc_prod'( V0,
% 1.18/1.56 T ) ) ],
% 1.18/1.56 [ 'c_in'( 'c_SetInterval_OatLeastAtMost'( X, Y, 'tc_nat' ),
% 1.18/1.56 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 1.18/1.56 [ 'c_in'( 'c_SetInterval_OatLeastAtMost'( X, Y, 'tc_IntDef_Oint' ),
% 1.18/1.56 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 1.18/1.56 [ 'c_in'( 'c_SetInterval_OatLeastLessThan'( X, Y, 'tc_nat' ),
% 1.18/1.56 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 1.18/1.56 [ 'c_in'( 'c_SetInterval_OatLeastLessThan'( X, Y, 'tc_IntDef_Oint' ),
% 1.18/1.56 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 1.18/1.56 [ 'c_in'( 'c_SetInterval_OatMost'( X, 'tc_nat' ),
% 1.18/1.56 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 1.18/1.56 [ 'c_in'( 'c_SetInterval_OgreaterThanAtMost'( X, Y, 'tc_nat' ),
% 1.18/1.56 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 1.18/1.56 [ 'c_in'( 'c_SetInterval_OgreaterThanAtMost'( X, Y, 'tc_IntDef_Oint' ),
% 1.18/1.56 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 1.18/1.56 [ 'c_in'( 'c_SetInterval_OgreaterThanLessThan'( X, Y, 'tc_nat' ),
% 1.18/1.56 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 1.18/1.56 [ 'c_in'( 'c_SetInterval_OgreaterThanLessThan'( X, Y, 'tc_IntDef_Oint' )
% 1.18/1.56 , 'c_Finite__Set_OFinites', 'tc_set'( 'tc_IntDef_Oint' ) ) ],
% 1.18/1.56 [ 'c_in'( 'c_SetInterval_OlessThan'( X, 'tc_nat' ),
% 1.18/1.56 'c_Finite__Set_OFinites', 'tc_set'( 'tc_nat' ) ) ],
% 1.18/1.56 [ 'c_in'( X, 'c_Inter'( Y, Z ), Z ), 'c_in'( 'c_Main_OInterI__1'( X, Y,
% 1.18/1.57 Z ), Y, 'tc_set'( Z ) ) ],
% 1.18/1.57 [ ~( 'c_in'( X, 'c_Main_OInterI__1'( X, Y, Z ), Z ) ), 'c_in'( X,
% 1.18/1.57 'c_Inter'( Y, Z ), Z ) ],
% 1.18/1.57 [ 'c_in'( X, 'c_UNIV', Y ) ],
% 1.18/1.57 [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( 'c_Main_OUnionE__1'( X
% 1.18/1.57 , Y, Z ), Y, 'tc_set'( Z ) ) ],
% 1.18/1.57 [ ~( 'c_in'( X, 'c_Union'( Y, Z ), Z ) ), 'c_in'( X, 'c_Main_OUnionE__1'(
% 1.18/1.57 X, Y, Z ), Z ) ],
% 1.18/1.57 [ 'c_lessequals'( 'c_emptyset', X, 'tc_set'( Y ) ) ],
% 1.18/1.57 [ ~( 'c_less'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( Y, X,
% 1.18/1.57 'tc_set'( Z ) ) ) ],
% 1.18/1.57 [ ~( 'c_less'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( X, Y, 'tc_set'(
% 1.18/1.57 Z ) ) ],
% 1.18/1.57 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), 'c_less'( X, Y, 'tc_set'(
% 1.18/1.57 Z ) ), =( X, Y ) ],
% 1.18/1.57 [ ~( 'c_in'( X, 'c_insert'( Y, 'c_emptyset', Z ), Z ) ), =( X, Y ) ]
% 1.18/1.57 ,
% 1.18/1.57 [ 'c_in'( X, 'c_insert'( X, 'c_emptyset', Y ), Y ) ],
% 1.18/1.57 [ ~( =( 'c_insert'( X, 'c_emptyset', Y ), 'c_insert'( Z, 'c_emptyset', Y
% 1.18/1.57 ) ) ), =( X, Z ) ],
% 1.18/1.57 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ),
% 1.18/1.57 'c_in'( X, T, Z ) ],
% 1.18/1.57 [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ), 'c_lessequals'( X, Y
% 1.18/1.57 , 'tc_set'( Z ) ) ],
% 1.18/1.57 [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ), 'c_lessequals'(
% 1.18/1.57 X, Y, 'tc_set'( Z ) ) ],
% 1.18/1.57 [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( Y, X,
% 1.18/1.57 'tc_set'( Z ) ) ), =( Y, X ) ],
% 1.18/1.57 [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ],
% 1.18/1.57 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Sum__Type_OInl'( X, Z, T ),
% 1.18/1.57 'c_Sum__Type_OPlus'( Y, U, Z, T ), 'tc_sum'( Z, T ) ) ],
% 1.18/1.57 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( 'c_Sum__Type_OInr'( X, Z, T ),
% 1.18/1.57 'c_Sum__Type_OPlus'( U, Y, T, Z ), 'tc_sum'( T, Z ) ) ],
% 1.18/1.57 [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( T, U ) ) )
% 1.18/1.57 , =( X, 'c_Sum__Type_OInl'( 'c_Main_OPlusE__1'( Y, X, T, U ), T, U ) ),
% 1.18/1.57 =( X, 'c_Sum__Type_OInr'( 'c_Main_OPlusE__2'( Z, X, U, T ), U, T ) ) ]
% 1.18/1.57 ,
% 1.18/1.57 [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( T, U ) ) )
% 1.18/1.57 , 'c_in'( 'c_Main_OPlusE__2'( Z, X, U, T ), Z, U ), =( X,
% 1.18/1.57 'c_Sum__Type_OInl'( 'c_Main_OPlusE__1'( Y, X, T, U ), T, U ) ) ],
% 1.18/1.57 [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( T, U ) ) )
% 1.18/1.57 , 'c_in'( 'c_Main_OPlusE__1'( Y, X, T, U ), Y, T ), =( X,
% 1.18/1.57 'c_Sum__Type_OInr'( 'c_Main_OPlusE__2'( Z, X, U, T ), U, T ) ) ],
% 1.18/1.57 [ ~( 'c_in'( X, 'c_Sum__Type_OPlus'( Y, Z, T, U ), 'tc_sum'( T, U ) ) )
% 1.18/1.57 , 'c_in'( 'c_Main_OPlusE__1'( Y, X, T, U ), Y, T ), 'c_in'(
% 1.18/1.57 'c_Main_OPlusE__2'( Z, X, U, T ), Z, U ) ],
% 1.18/1.57 [ ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ), 'c_in'( X,
% 1.18/1.57 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) ) ],
% 1.18/1.57 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Transitive__Closure_Ortrancl'( Z, Y
% 1.18/1.57 ), 'tc_prod'( Y, Y ) ) ],
% 1.18/1.57 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), 'c_in'(
% 1.18/1.57 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ),
% 1.18/1.57 'tc_prod'( Z, Z ) ) ],
% 1.18/1.57 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T
% 1.18/1.57 , Z ), 'tc_prod'( Z, Z ) ) ), 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 1.18/1.57 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ],
% 1.18/1.57 [ 'c_Wellfounded__Recursion_Owf'( 'c_emptyset', X ) ],
% 1.18/1.57 [ 'c_Relation_Otrans'( 'c_Wellfounded__Relations_Oless__than', 'tc_nat'
% 1.18/1.57 ) ],
% 1.18/1.57 [ ~( 'c_Relation_Otrans'( X, Y ) ), ~( 'c_Relation_Otrans'( Z, T ) ),
% 1.18/1.57 'c_Relation_Otrans'( 'c_Wellfounded__Relations_Olex__prod'( Z, X, T, Y )
% 1.18/1.57 , 'tc_prod'( T, Y ) ) ],
% 1.18/1.57 [ 'c_Wellfounded__Recursion_Owf'( 'c_Wellfounded__Relations_Oless__than'
% 1.18/1.57 , 'tc_nat' ) ],
% 1.18/1.57 [ ~( 'c_Wellfounded__Recursion_Owf'( X, Y ) ), ~(
% 1.18/1.57 'c_Wellfounded__Recursion_Owf'( Z, T ) ), 'c_Wellfounded__Recursion_Owf'(
% 1.18/1.57 'c_Wellfounded__Relations_Olex__prod'( Z, X, T, Y ), 'tc_prod'( T, Y ) )
% 1.18/1.57 ],
% 1.18/1.57 [ 'class_Finite__Set_Ofinite'( 'tc_Datatype_Ooption'( X ) ), ~(
% 1.18/1.57 'class_Finite__Set_Ofinite'( X ) ) ],
% 1.18/1.57 [ 'class_HOL_Ominus'( 'tc_IntDef_Oint' ) ],
% 1.18/1.57 [ 'class_HOL_Oone'( 'tc_IntDef_Oint' ) ],
% 1.18/1.57 [ 'class_Ring__and__Field_Osemiring'( 'tc_IntDef_Oint' ) ],
% 1.18/1.57 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_IntDef_Oint' ) ],
% 1.18/1.57 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_IntDef_Oint' ) ],
% 1.18/1.57 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_IntDef_Oint' ) ],
% 1.18/1.57 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_IntDef_Oint' ) ],
% 1.18/1.57 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_IntDef_Oint' ) ]
% 1.18/1.57 ,
% 1.18/1.57 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_IntDef_Oint' ) ]
% 1.18/1.57 ,
% 1.18/1.57 [ 'class_OrderedGroup_Oab__group__add'( 'tc_IntDef_Oint' ) ],
% 1.18/1.57 [ 'class_Ring__and__Field_Osemiring__0__cancel'( 'tc_IntDef_Oint' ) ]
% 1.18/1.57 ,
% 1.18/1.57 [ 'class_Ring__and__Field_Oring'( 'tc_IntDef_Oint' ) ],
% 1.18/1.57 [ 'class_HOL_Oplus'( 'tc_IntDef_Oint' ) ],
% 1.18/1.57 [ 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 'tc_IntDef_Oint'
% 1.18/1.57 ) ],
% 1.18/1.57 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_IntDef_Oint' ) ],
% 1.18/1.57 [ 'class_Ring__and__Field_Oaxclass__0__neq__1'( 'tc_IntDef_Oint' ) ]
% 1.18/1.57 ,
% 1.18/1.57 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_IntDef_Oint' ) ],
% 1.18/1.57 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_IntDef_Oint' ) ],
% 1.18/1.57 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_IntDef_Oint' ) ],
% 1.18/1.57 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_IntDef_Oint' ) ],
% 1.18/1.57 [ 'class_Ring__and__Field_Osemiring__1__cancel'( 'tc_IntDef_Oint' ) ]
% 1.18/1.57 ,
% 1.18/1.57 [ 'class_Ring__and__Field_Oring__1'( 'tc_IntDef_Oint' ) ],
% 1.18/1.57 [ 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 'tc_IntDef_Oint'
% 1.18/1.57 ) ],
% 1.18/1.57 [ 'class_HOL_Otimes'( 'tc_IntDef_Oint' ) ],
% 1.18/1.57 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_IntDef_Oint' ) ],
% 1.18/1.57 [ 'class_Orderings_Oorder'( 'tc_IntDef_Oint' ) ],
% 1.18/1.57 [ 'class_LOrder_Omeet__semilorder'( 'tc_IntDef_Oint' ) ],
% 1.18/1.57 [ 'class_LOrder_Ojoin__semilorder'( 'tc_IntDef_Oint' ) ],
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% 1.18/1.57 ],
% 1.18/1.57 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
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% 1.18/1.57 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
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% 1.18/1.57 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_IntDef_Oint' ) ]
% 1.18/1.57 ,
% 1.18/1.57 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_IntDef_Oint'
% 1.18/1.57 ) ],
% 1.18/1.57 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_IntDef_Oint'
% 1.18/1.57 ) ],
% 1.18/1.57 [ 'class_Ring__and__Field_Opordered__comm__semiring'( 'tc_IntDef_Oint' )
% 1.18/1.57 ],
% 1.18/1.57 [ 'class_Ring__and__Field_Opordered__cancel__comm__semiring'(
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% 1.18/1.57 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_IntDef_Oint' ) ]
% 1.18/1.57 ,
% 1.18/1.57 [ 'class_OrderedGroup_Olordered__ab__group'( 'tc_IntDef_Oint' ) ],
% 1.18/1.57 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_IntDef_Oint' ) ],
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% 1.18/1.57 [ 'class_OrderedGroup_Olordered__ab__group__abs'( 'tc_IntDef_Oint' ) ]
% 1.18/1.57 ,
% 1.18/1.57 [ 'class_OrderedGroup_Olordered__ab__group__meet'( 'tc_IntDef_Oint' ) ]
% 1.18/1.57 ,
% 1.18/1.57 [ 'class_OrderedGroup_Olordered__ab__group__join'( 'tc_IntDef_Oint' ) ]
% 1.18/1.57 ,
% 1.18/1.57 [ 'class_Ring__and__Field_Olordered__ring'( 'tc_IntDef_Oint' ) ],
% 1.18/1.57 [ 'class_Ring__and__Field_Oaxclass__no__zero__divisors'(
% 1.18/1.57 'tc_IntDef_Oint' ) ],
% 1.18/1.57 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_IntDef_Oint' ) ]
% 1.18/1.57 ,
% 1.18/1.57 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_IntDef_Oint' ) ],
% 1.18/1.57 [ 'class_Ring__and__Field_Oidom'( 'tc_IntDef_Oint' ) ],
% 1.18/1.57 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_IntDef_Oint' ) ],
% 1.18/1.57 [ 'class_Numeral_Onumber'( 'tc_IntDef_Oint' ) ],
% 1.18/1.57 [ 'class_OrderedGroup_Osemigroup__add'( 'tc_IntDef_Oint' ) ],
% 1.18/1.57 [ 'class_Numeral_Onumber__ring'( 'tc_IntDef_Oint' ) ],
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% 1.18/1.57 [ 'class_Nat_Opower'( 'tc_IntDef_Oint' ) ],
% 1.18/1.57 [ 'class_Power_Orecpower'( 'tc_IntDef_Oint' ) ],
% 1.18/1.57 [ 'class_Parity_Oeven__odd'( 'tc_IntDef_Oint' ) ],
% 1.18/1.57 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_IntDef_Oint' ) ],
% 1.18/1.57 [ 'class_OrderedGroup_Osemigroup__mult'( 'tc_IntDef_Oint' ) ],
% 1.18/1.57 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_IntDef_Oint' ) ],
% 1.18/1.57 [ 'class_Finite__Set_Ofinite'( 'tc_Product__Type_Ounit' ) ],
% 1.18/1.57 [ 'class_Finite__Set_Ofinite'( 'tc_bool' ) ],
% 1.18/1.57 [ 'class_Finite__Set_Ofinite'( 'tc_fun'( X, Y ) ), ~(
% 1.18/1.57 'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 1.18/1.57 ],
% 1.18/1.57 [ 'class_Nat_Opower'( 'tc_fun'( X, Y ) ) ],
% 1.18/1.57 [ 'class_HOL_Oone'( 'tc_nat' ) ],
% 1.18/1.57 [ 'class_HOL_Ozero'( 'tc_nat' ) ],
% 1.18/1.57 [ 'class_HOL_Oplus'( 'tc_nat' ) ],
% 1.18/1.57 [ 'class_HOL_Otimes'( 'tc_nat' ) ],
% 1.18/1.57 [ 'class_Nat_Opower'( 'tc_nat' ) ],
% 1.18/1.57 [ 'class_Ring__and__Field_Oaxclass__0__neq__1'( 'tc_nat' ) ],
% 1.18/1.57 [ 'class_OrderedGroup_Osemigroup__add'( 'tc_nat' ) ],
% 1.18/1.57 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.18/1.57 [ 'class_OrderedGroup_Osemigroup__mult'( 'tc_nat' ) ],
% 1.18/1.57 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.18/1.57 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 1.18/1.57 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 1.18/1.57 [ 'class_Orderings_Oord'( 'tc_nat' ) ],
% 1.18/1.57 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.18/1.57 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 1.18/1.57 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' ) ],
% 1.18/1.57 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 1.18/1.57 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 1.18/1.57 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 1.18/1.57 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.18/1.57 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
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% 1.18/1.57 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.18/1.57 [ 'class_Ring__and__Field_Osemiring__1__cancel'( 'tc_nat' ) ],
% 1.18/1.57 [ 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( 'tc_nat' ) ],
% 1.18/1.57 [ 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( 'tc_nat' ) ],
% 1.18/1.57 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.18/1.57 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.18/1.57 ],
% 1.18/1.57 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.18/1.57 ) ],
% 1.18/1.57 [ 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.18/1.57 ],
% 1.18/1.57 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 1.18/1.57 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 1.18/1.57 ,
% 1.18/1.57 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 1.18/1.57 [ 'class_LOrder_Omeet__semilorder'( 'tc_nat' ) ],
% 1.18/1.57 [ 'class_Ring__and__Field_Opordered__comm__semiring'( 'tc_nat' ) ],
% 1.18/1.57 [ 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( 'tc_nat' )
% 1.18/1.57 ],
% 1.18/1.57 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 1.18/1.57 ],
% 1.18/1.57 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.18/1.57 [ 'class_Divides_Odiv'( 'tc_nat' ) ],
% 1.18/1.57 [ 'class_Power_Orecpower'( 'tc_nat' ) ],
% 1.18/1.57 [ 'class_Numeral_Onumber'( 'tc_nat' ) ],
% 1.18/1.57 [ 'class_Parity_Oeven__odd'( 'tc_nat' ) ],
% 1.18/1.57 [ 'class_LOrder_Ojoin__semilorder'( 'tc_nat' ) ],
% 1.18/1.57 [ 'class_LOrder_Olorder'( 'tc_nat' ) ],
% 1.18/1.57 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.18/1.57 [ 'class_Wellfounded__Recursion_Owellorder'( 'tc_nat' ) ],
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% 1.18/1.57 [ 'class_Finite__Set_Ofinite'( 'tc_prod'( X, Y ) ), ~(
% 1.18/1.57 'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 1.18/1.57 ],
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% 1.18/1.57 [ 'class_Finite__Set_Ofinite'( 'tc_sum'( X, Y ) ), ~(
% 1.18/1.57 'class_Finite__Set_Ofinite'( Y ) ), ~( 'class_Finite__Set_Ofinite'( X ) )
% 1.18/1.57 ],
% 1.18/1.57 [ ~( 'class_LOrder_Ojoin__semilorder'( X ) ), 'class_Orderings_Oord'( X
% 1.18/1.57 ) ],
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% 1.18/1.57 X ) ],
% 1.18/1.57 [ ~( 'class_LOrder_Olorder'( X ) ), 'class_LOrder_Omeet__semilorder'( X
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% 1.18/1.57 [ ~( 'class_LOrder_Olorder'( X ) ), 'class_Orderings_Oord'( X ) ],
% 1.18/1.57 [ ~( 'class_LOrder_Olorder'( X ) ), 'class_Orderings_Oorder'( X ) ],
% 1.18/1.57 [ ~( 'class_LOrder_Olorder'( X ) ), 'class_LOrder_Ojoin__semilorder'( X
% 1.18/1.57 ) ],
% 1.18/1.57 [ ~( 'class_LOrder_Omeet__semilorder'( X ) ), 'class_Orderings_Oord'( X
% 1.18/1.57 ) ],
% 1.18/1.57 [ ~( 'class_LOrder_Omeet__semilorder'( X ) ), 'class_Orderings_Oorder'(
% 1.18/1.57 X ) ],
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% 1.18/1.57 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.18/1.57 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.18/1.57 [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_HOL_Ominus'( X ) ]
% 1.18/1.57 ,
% 1.18/1.57 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
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% 1.18/1.57 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Oring'( X ) ],
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% 1.18/1.57 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Ocomm__ring'( X ) ],
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% 1.18/1.57 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
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% 1.18/1.57 'class_Ring__and__Field_Osemiring__1'( X ) ],
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% 1.18/1.57 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
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% 1.18/1.57 'class_Ring__and__Field_Oring__1'( X ) ],
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% 1.18/1.57 'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 1.18/1.57 [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_HOL_Otimes'( X ) ]
% 1.18/1.57 ,
% 1.18/1.57 [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_Numeral_Onumber'( X )
% 1.18/1.57 ],
% 1.18/1.57 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.18/1.57 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.18/1.57 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.18/1.57 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.18/1.57 [ ~( 'class_Numeral_Onumber__ring'( X ) ), 'class_HOL_Ozero'( X ) ],
% 1.18/1.57 [ ~( 'class_Numeral_Onumber__ring'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
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% 1.18/1.57 ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 'class_HOL_Ozero'( X )
% 1.18/1.57 ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
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% 1.18/1.57 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), 'class_HOL_Oplus'( X )
% 1.18/1.57 ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
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% 1.18/1.57 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), 'class_HOL_Oplus'(
% 1.18/1.57 X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ),
% 1.18/1.57 'class_HOL_Otimes'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ),
% 1.18/1.57 'class_HOL_Oplus'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ),
% 1.18/1.57 'class_HOL_Oplus'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'class_HOL_Ozero'(
% 1.18/1.57 X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'class_HOL_Oplus'(
% 1.18/1.57 X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 'class_HOL_Oone'(
% 1.18/1.57 X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), 'class_HOL_Otimes'(
% 1.18/1.57 X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 'class_HOL_Oplus'(
% 1.18/1.57 X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.18/1.57 'class_LOrder_Olorder'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.18/1.57 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.18/1.57 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.18/1.57 'class_HOL_Ominus'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ), 'class_HOL_Ozero'(
% 1.18/1.57 X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.18/1.57 'class_Orderings_Oorder'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group'( X ) ),
% 1.18/1.57 'class_Orderings_Oord'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.18/1.57 'class_HOL_Oplus'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.18/1.57 'class_LOrder_Olorder'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.18/1.57 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.18/1.57 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.18/1.57 'class_Orderings_Oorder'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.18/1.57 'class_Orderings_Oord'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.18/1.57 'class_HOL_Ominus'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.18/1.57 'class_HOL_Ozero'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.18/1.57 'class_HOL_Oplus'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.18/1.57 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.18/1.57 'class_LOrder_Olorder'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.18/1.57 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.18/1.57 'class_HOL_Ominus'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.18/1.57 'class_HOL_Ozero'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.18/1.57 'class_Orderings_Oorder'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group__join'( X ) ),
% 1.18/1.57 'class_Orderings_Oord'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.18/1.57 'class_HOL_Oplus'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.18/1.57 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.18/1.57 'class_LOrder_Olorder'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.18/1.57 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.18/1.57 'class_HOL_Ominus'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.18/1.57 'class_HOL_Ozero'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.18/1.57 'class_Orderings_Oorder'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ),
% 1.18/1.57 'class_Orderings_Oord'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), 'class_HOL_Oone'( X ) ]
% 1.18/1.57 ,
% 1.18/1.57 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), 'class_HOL_Otimes'( X )
% 1.18/1.57 ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.18/1.57 'class_LOrder_Olorder'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.18/1.57 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.18/1.57 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.18/1.57 'class_Orderings_Oorder'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.18/1.57 'class_Orderings_Oord'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.18/1.57 'class_HOL_Oplus'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ),
% 1.18/1.57 'class_Orderings_Olinorder'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.18/1.57 'class_HOL_Ominus'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.18/1.57 'class_Orderings_Oorder'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.18/1.57 'class_Orderings_Oord'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.18/1.57 'class_HOL_Ozero'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.18/1.57 'class_HOL_Oplus'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.18/1.57 'class_Orderings_Oorder'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.18/1.57 'class_Orderings_Oord'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.18/1.57 'class_HOL_Oplus'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.18/1.57 , 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.18/1.57 , 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.18/1.57 , 'class_Orderings_Oorder'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.18/1.57 , 'class_Orderings_Oord'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.18/1.57 , 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.18/1.57 , 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.18/1.57 , 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.18/1.57 , 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.18/1.57 , 'class_HOL_Oplus'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.18/1.57 'class_Orderings_Oorder'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.18/1.57 'class_Orderings_Oord'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.18/1.57 'class_HOL_Oplus'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), 'class_HOL_Oplus'( X )
% 1.18/1.57 ],
% 1.18/1.57 [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), 'class_HOL_Otimes'( X
% 1.18/1.57 ) ],
% 1.18/1.57 [ ~( 'class_Orderings_Olinorder'( X ) ), 'class_LOrder_Olorder'( X ) ]
% 1.18/1.57 ,
% 1.18/1.57 [ ~( 'class_Orderings_Olinorder'( X ) ),
% 1.18/1.57 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.18/1.57 [ ~( 'class_Orderings_Olinorder'( X ) ),
% 1.18/1.57 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.18/1.57 [ ~( 'class_Orderings_Olinorder'( X ) ), 'class_Orderings_Oord'( X ) ]
% 1.18/1.57 ,
% 1.18/1.57 [ ~( 'class_Orderings_Olinorder'( X ) ), 'class_Orderings_Oorder'( X ) ]
% 1.18/1.57 ,
% 1.18/1.57 [ ~( 'class_Orderings_Oorder'( X ) ), 'class_Orderings_Oord'( X ) ],
% 1.18/1.57 [ ~( 'class_Power_Orecpower'( X ) ), 'class_Nat_Opower'( X ) ],
% 1.18/1.57 [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Ozero'( X ) ],
% 1.18/1.57 [ ~( 'class_Power_Orecpower'( X ) ), 'class_Ring__and__Field_Osemiring'(
% 1.18/1.57 X ) ],
% 1.18/1.57 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.18/1.57 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.18/1.57 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.18/1.57 [ ~( 'class_Power_Orecpower'( X ) ), 'class_OrderedGroup_Omonoid__mult'(
% 1.18/1.57 X ) ],
% 1.18/1.57 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 1.18/1.57 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.18/1.57 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 1.18/1.57 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Oone'( X ) ],
% 1.18/1.57 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.18/1.57 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 1.18/1.57 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 1.18/1.57 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 1.18/1.57 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.18/1.57 [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Oplus'( X ) ],
% 1.18/1.57 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Power_Orecpower'( X ) ), 'class_HOL_Otimes'( X ) ],
% 1.18/1.57 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.18/1.57 [ ~( 'class_Power_Orecpower'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ),
% 1.18/1.57 'class_HOL_Ozero'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ),
% 1.18/1.57 'class_HOL_Oone'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ),
% 1.18/1.57 'class_HOL_Ominus'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ),
% 1.18/1.57 'class_Orderings_Oord'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ),
% 1.18/1.57 'class_HOL_Ozero'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ),
% 1.18/1.57 'class_HOL_Ozero'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ),
% 1.18/1.57 'class_HOL_Otimes'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 'class_HOL_Oplus'( X )
% 1.18/1.57 ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 'class_HOL_Ozero'( X )
% 1.18/1.57 ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 'class_HOL_Ominus'( X
% 1.18/1.57 ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Oring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), 'class_HOL_Otimes'( X
% 1.18/1.57 ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Oring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Otimes'(
% 1.18/1.57 X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Ozero'(
% 1.18/1.57 X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Oplus'(
% 1.18/1.57 X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Oone'( X
% 1.18/1.57 ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Oring__1'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 'class_HOL_Ominus'(
% 1.18/1.57 X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 'class_HOL_Oplus'(
% 1.18/1.57 X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), 'class_HOL_Otimes'(
% 1.18/1.57 X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.18/1.57 'class_HOL_Oplus'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.18/1.57 'class_HOL_Otimes'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.18/1.57 'class_HOL_Ozero'( X ) ],
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% 1.18/1.57 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 1.18/1.57 'class_HOL_Oplus'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 1.18/1.57 'class_HOL_Ozero'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 1.18/1.57 'class_HOL_Otimes'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Osemigroup__add'( X ) ],
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% 1.18/1.57 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.18/1.57 'class_HOL_Ozero'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.18/1.57 'class_HOL_Oplus'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.18/1.57 'class_HOL_Oone'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.18/1.57 'class_HOL_Otimes'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 1.18/1.57 'class_HOL_Ozero'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
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% 1.18/1.57 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 1.18/1.57 'class_HOL_Oplus'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 1.18/1.57 'class_HOL_Oone'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 1.18/1.57 'class_HOL_Otimes'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring__1'( X ) ],
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% 1.18/1.57 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.18/1.57 'class_HOL_Ozero'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.18/1.57 'class_HOL_Oinverse'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Oone'( X ) ]
% 1.18/1.57 ,
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Oring__1'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
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% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Otimes'( X ) ]
% 1.18/1.57 ,
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Ozero'( X ) ]
% 1.18/1.57 ,
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Oplus'( X ) ]
% 1.18/1.57 ,
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Oring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Oinverse'( X ) ]
% 1.18/1.57 ,
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Oidom'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), 'class_HOL_Ominus'( X ) ]
% 1.18/1.57 ,
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Oone'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Oring__1'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Otimes'( X ) ]
% 1.18/1.57 ,
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Ozero'( X ) ]
% 1.18/1.57 ,
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Oplus'( X ) ]
% 1.18/1.57 ,
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Oring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Ominus'( X ) ]
% 1.18/1.57 ,
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Opordered__ring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Oring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.18/1.57 'class_Orderings_Oorder'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.18/1.57 'class_Orderings_Oord'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'class_HOL_Otimes'(
% 1.18/1.57 X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'class_HOL_Ozero'(
% 1.18/1.57 X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'class_HOL_Oplus'(
% 1.18/1.57 X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.18/1.57 'class_LOrder_Olorder'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.18/1.57 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.18/1.57 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Olordered__ab__group__join'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'class_HOL_Ominus'(
% 1.18/1.57 X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.18/1.57 'class_HOL_Oplus'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.18/1.57 'class_HOL_Ozero'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.18/1.57 'class_Orderings_Olinorder'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.18/1.57 'class_LOrder_Olorder'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.18/1.57 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.18/1.57 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.18/1.57 'class_Orderings_Oorder'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.18/1.57 'class_Orderings_Oord'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.18/1.57 'class_HOL_Otimes'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Ofield'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.18/1.57 'class_HOL_Oinverse'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Oone'(
% 1.18/1.57 X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Oidom'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Oplus'(
% 1.18/1.57 X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Ozero'(
% 1.18/1.57 X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Otimes'(
% 1.18/1.57 X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Oordered__idom'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Oordered__ring__strict'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.18/1.57 'class_Orderings_Olinorder'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Olordered__ring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Opordered__ring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Olordered__ab__group__join'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Oring__1'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.18/1.57 'class_LOrder_Olorder'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.18/1.57 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.18/1.57 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.18/1.57 'class_Orderings_Oorder'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.18/1.57 'class_Orderings_Oord'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Oring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Oordered__semidom'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'class_HOL_Ominus'(
% 1.18/1.57 X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Oone'( X
% 1.18/1.57 ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Ocomm__semiring__0__cancel'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Oring__1'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Otimes'(
% 1.18/1.57 X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Ozero'(
% 1.18/1.57 X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Oplus'(
% 1.18/1.57 X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Oring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.18/1.57 'class_Orderings_Olinorder'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.18/1.57 'class_LOrder_Olorder'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.18/1.57 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.18/1.57 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.18/1.57 'class_Orderings_Oorder'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.18/1.57 'class_Orderings_Oord'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Oordered__ring__strict'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Olordered__ring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Opordered__ring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'class_HOL_Ominus'(
% 1.18/1.57 X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Olordered__ab__group__join'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Oordered__semidom'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Oidom'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Ocomm__semiring__1__cancel'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Oring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.18/1.57 'class_HOL_Oplus'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.18/1.57 'class_HOL_Ozero'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.18/1.57 'class_Orderings_Olinorder'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.18/1.57 'class_LOrder_Olorder'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.18/1.57 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.18/1.57 'class_HOL_Ominus'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.18/1.57 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.18/1.57 'class_Orderings_Oorder'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.18/1.57 'class_Orderings_Oord'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Oaxclass__abs__if'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Olordered__ab__group'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Olordered__ring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Opordered__ring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Olordered__ab__group__abs'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Olordered__ab__group__meet'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Olordered__ab__group__join'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Oaxclass__no__zero__divisors'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
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% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
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% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
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% 1.18/1.57 'class_HOL_Otimes'( X ) ],
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% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
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% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
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% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
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% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.18/1.57 'class_HOL_Otimes'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
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% 1.18/1.57 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
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% 1.18/1.57 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
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% 1.18/1.57 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.18/1.57 'class_HOL_Oplus'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
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% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
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% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.18/1.57 'class_Orderings_Olinorder'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.18/1.57 'class_LOrder_Olorder'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.18/1.57 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.18/1.57 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Opordered__cancel__comm__semiring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
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% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.18/1.57 'class_Orderings_Oorder'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.18/1.57 'class_Orderings_Oord'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
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% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'class_HOL_Oone'(
% 1.18/1.57 X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
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% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
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% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.18/1.57 'class_Orderings_Olinorder'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.18/1.57 'class_LOrder_Olorder'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.18/1.57 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.18/1.57 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
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% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
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% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.18/1.57 'class_Orderings_Oorder'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.18/1.57 'class_Orderings_Oord'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
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% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
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% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.18/1.57 'class_HOL_Otimes'( X ) ],
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% 1.18/1.57 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
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% 1.18/1.57 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.18/1.57 'class_HOL_Oplus'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.18/1.57 'class_HOL_Ozero'( X ) ],
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% 1.18/1.57 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add'( X ) ],
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% 1.18/1.57 'class_OrderedGroup_Osemigroup__add'( X ) ],
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% 1.18/1.57 'class_HOL_Oplus'( X ) ],
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% 1.18/1.57 'class_Orderings_Oorder'( X ) ],
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% 1.18/1.57 'class_Orderings_Oord'( X ) ],
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% 1.18/1.57 'class_Ring__and__Field_Osemiring'( X ) ],
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% 1.18/1.57 'class_Ring__and__Field_Opordered__semiring'( X ) ],
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% 1.18/1.57 'class_Orderings_Oord'( X ) ],
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% 1.18/1.57 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
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% 1.18/1.57 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
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% 1.18/1.57 'class_Ring__and__Field_Ocomm__ring'( X ) ],
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% 1.18/1.57 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.18/1.57 'class_HOL_Otimes'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
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% 1.18/1.57 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
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% 1.18/1.57 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Opordered__semiring'( X ) ],
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% 1.18/1.57 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
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% 1.18/1.57 [ ~( 'class_Ring__and__Field_Opordered__comm__ring'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
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% 1.18/1.57 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.18/1.57 'class_HOL_Oplus'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.18/1.57 'class_HOL_Ozero'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.18/1.57 'class_Orderings_Oorder'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.18/1.57 'class_Orderings_Oord'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.18/1.57 'class_HOL_Otimes'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Opordered__comm__semiring'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Oring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'class_HOL_Oplus'(
% 1.18/1.57 X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'class_HOL_Ozero'(
% 1.18/1.57 X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Opordered__semiring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.18/1.57 'class_Orderings_Oorder'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.18/1.57 'class_Orderings_Oord'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Opordered__ab__group__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'class_HOL_Ominus'(
% 1.18/1.57 X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'class_HOL_Otimes'(
% 1.18/1.57 X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.18/1.57 'class_Orderings_Oorder'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.18/1.57 'class_Orderings_Oord'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.18/1.57 'class_HOL_Otimes'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.18/1.57 'class_HOL_Oplus'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.18/1.57 'class_HOL_Ozero'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oring'( X ) ), 'class_HOL_Oplus'( X ) ]
% 1.18/1.57 ,
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oring'( X ) ), 'class_HOL_Otimes'( X ) ]
% 1.18/1.57 ,
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oring'( X ) ), 'class_HOL_Ominus'( X ) ]
% 1.18/1.57 ,
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oring'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oring'( X ) ), 'class_HOL_Ozero'( X ) ]
% 1.18/1.57 ,
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Oring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Oplus'( X ) ]
% 1.18/1.57 ,
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Ozero'( X ) ]
% 1.18/1.57 ,
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Oone'( X ) ]
% 1.18/1.57 ,
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Ominus'( X ) ]
% 1.18/1.57 ,
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), 'class_HOL_Otimes'( X ) ]
% 1.18/1.57 ,
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 'class_HOL_Oplus'( X ) ]
% 1.18/1.57 ,
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), 'class_HOL_Otimes'( X )
% 1.18/1.57 ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 'class_HOL_Oplus'( X
% 1.18/1.57 ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 'class_HOL_Otimes'( X
% 1.18/1.57 ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), 'class_HOL_Ozero'( X
% 1.18/1.57 ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.18/1.57 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.18/1.57 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.18/1.57 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.18/1.58 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.18/1.58 'class_HOL_Otimes'( X ) ],
% 1.18/1.58 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.18/1.58 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.18/1.58 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.18/1.58 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.18/1.58 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.18/1.58 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.18/1.58 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.18/1.58 'class_HOL_Oplus'( X ) ],
% 1.18/1.58 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.18/1.58 'class_HOL_Ozero'( X ) ],
% 1.18/1.58 [ ~( 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ),
% 1.18/1.58 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.18/1.58 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 1.18/1.58 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.18/1.58 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'class_HOL_Ozero'( X
% 1.18/1.58 ) ],
% 1.18/1.58 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'class_HOL_Oplus'( X
% 1.18/1.58 ) ],
% 1.18/1.58 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 1.18/1.58 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.18/1.58 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'class_HOL_Oone'( X )
% 1.18/1.58 ],
% 1.18/1.58 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 1.18/1.58 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.18/1.58 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 1.18/1.58 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.18/1.58 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 1.18/1.58 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.18/1.58 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'class_HOL_Otimes'( X
% 1.18/1.58 ) ],
% 1.18/1.58 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 1.18/1.58 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.18/1.58 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 1.18/1.58 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.18/1.58 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ),
% 1.18/1.58 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.18/1.58 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.18/1.58 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.18/1.58 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.18/1.58 'class_Ring__and__Field_Oaxclass__0__neq__1'( X ) ],
% 1.18/1.58 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.18/1.58 'class_HOL_Oone'( X ) ],
% 1.18/1.58 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.18/1.58 'class_OrderedGroup_Osemigroup__mult'( X ) ],
% 1.18/1.58 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.18/1.58 'class_HOL_Otimes'( X ) ],
% 1.18/1.58 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.18/1.58 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.18/1.58 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.18/1.58 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.18/1.58 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.18/1.58 'class_Ring__and__Field_Osemiring__0__cancel'( X ) ],
% 1.18/1.58 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.18/1.58 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.18/1.58 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.18/1.58 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.18/1.58 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.18/1.58 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.18/1.58 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.18/1.58 'class_HOL_Ozero'( X ) ],
% 1.18/1.58 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.18/1.58 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.18/1.58 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.18/1.58 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.18/1.58 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.18/1.58 'class_HOL_Oplus'( X ) ],
% 1.18/1.58 [ ~( 'class_Ring__and__Field_Osemiring__1__cancel'( X ) ),
% 1.18/1.58 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.18/1.58 [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 1.18/1.58 'class_Orderings_Oord'( X ) ],
% 1.18/1.58 [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 1.18/1.58 'class_Orderings_Oorder'( X ) ],
% 1.18/1.58 [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 1.18/1.58 'class_LOrder_Omeet__semilorder'( X ) ],
% 1.18/1.58 [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 1.18/1.58 'class_LOrder_Ojoin__semilorder'( X ) ],
% 1.18/1.58 [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 1.18/1.58 'class_LOrder_Olorder'( X ) ],
% 1.18/1.58 [ ~( 'class_Wellfounded__Recursion_Owellorder'( X ) ),
% 1.18/1.58 'class_Orderings_Olinorder'( X ) ],
% 1.18/1.58 [ ~( 'c_Relation_Oantisym'( X, Y ) ), ~( 'c_in'( 'c_Pair'( Z, T, Y, Y )
% 1.18/1.58 , X, 'tc_prod'( Y, Y ) ) ), ~( 'c_in'( 'c_Pair'( T, Z, Y, Y ), X,
% 1.18/1.58 'tc_prod'( Y, Y ) ) ), =( T, Z ) ],
% 1.18/1.58 [ 'c_Relation_Oantisym'( X, Y ), 'c_in'( 'c_Pair'(
% 1.18/1.58 'c_Main_Oantisym__def__1'( X, Y ), 'c_Main_Oantisym__def__2'( X, Y ), Y,
% 1.18/1.58 Y ), X, 'tc_prod'( Y, Y ) ) ],
% 1.18/1.58 [ 'c_Relation_Oantisym'( X, Y ), 'c_in'( 'c_Pair'(
% 1.18/1.58 'c_Main_Oantisym__def__2'( X, Y ), 'c_Main_Oantisym__def__1'( X, Y ), Y,
% 1.18/1.58 Y ), X, 'tc_prod'( Y, Y ) ) ],
% 1.18/1.58 [ ~( =( 'c_Main_Oantisym__def__1'( X, Y ), 'c_Main_Oantisym__def__2'( X
% 1.18/1.58 , Y ) ) ), 'c_Relation_Oantisym'( X, Y ) ],
% 1.18/1.58 [ =( 'v_A', 'c_Tarski_Opotype_Opset'( 'v_cl', 't_a',
% 1.18/1.58 'tc_Product__Type_Ounit' ) ) ],
% 1.18/1.58 [ ~( 'c_in'( X, 'c_Tarski_OPartialOrder',
% 1.18/1.58 'tc_Tarski_Opotype_Opotype__ext__type'( Y, 'tc_Product__Type_Ounit' ) ) )
% 1.18/1.58 , 'c_Relation_Orefl'( 'c_Tarski_Opotype_Opset'( X, Y,
% 1.18/1.58 'tc_Product__Type_Ounit' ), 'c_Tarski_Opotype_Oorder'( X, Y,
% 1.18/1.58 'tc_Product__Type_Ounit' ), Y ) ],
% 1.18/1.58 [ ~( 'c_in'( X, 'c_Tarski_OPartialOrder',
% 1.18/1.58 'tc_Tarski_Opotype_Opotype__ext__type'( Y, 'tc_Product__Type_Ounit' ) ) )
% 1.18/1.58 , 'c_Relation_Oantisym'( 'c_Tarski_Opotype_Oorder'( X, Y,
% 1.18/1.58 'tc_Product__Type_Ounit' ), Y ) ],
% 1.18/1.58 [ ~( 'c_in'( X, 'c_Tarski_OPartialOrder',
% 1.18/1.58 'tc_Tarski_Opotype_Opotype__ext__type'( Y, 'tc_Product__Type_Ounit' ) ) )
% 1.18/1.58 , 'c_Relation_Otrans'( 'c_Tarski_Opotype_Oorder'( X, Y,
% 1.18/1.58 'tc_Product__Type_Ounit' ), Y ) ],
% 1.18/1.58 [ ~( 'c_Relation_Oantisym'( 'c_Tarski_Opotype_Oorder'( X, Y,
% 1.18/1.58 'tc_Product__Type_Ounit' ), Y ) ), ~( 'c_Relation_Orefl'(
% 1.18/1.58 'c_Tarski_Opotype_Opset'( X, Y, 'tc_Product__Type_Ounit' ),
% 1.18/1.58 'c_Tarski_Opotype_Oorder'( X, Y, 'tc_Product__Type_Ounit' ), Y ) ), ~(
% 1.18/1.58 'c_Relation_Otrans'( 'c_Tarski_Opotype_Oorder'( X, Y,
% 1.18/1.58 'tc_Product__Type_Ounit' ), Y ) ), 'c_in'( X, 'c_Tarski_OPartialOrder',
% 1.18/1.58 'tc_Tarski_Opotype_Opotype__ext__type'( Y, 'tc_Product__Type_Ounit' ) ) ]
% 1.18/1.58 ,
% 1.18/1.58 [ 'c_in'( 'v_cl', 'c_Tarski_OPartialOrder',
% 1.18/1.58 'tc_Tarski_Opotype_Opotype__ext__type'( 't_a', 'tc_Product__Type_Ounit' )
% 1.18/1.58 ) ],
% 1.18/1.58 [ =( 'v_r', 'c_Tarski_Opotype_Oorder'( 'v_cl', 't_a',
% 1.18/1.58 'tc_Product__Type_Ounit' ) ) ],
% 1.18/1.58 [ 'c_in'( 'c_Pair'( 'v_a', 'v_b', 't_a', 't_a' ), 'v_r', 'tc_prod'(
% 1.18/1.58 't_a', 't_a' ) ) ],
% 1.18/1.58 [ 'c_in'( 'c_Pair'( 'v_b', 'v_a', 't_a', 't_a' ), 'v_r', 'tc_prod'(
% 1.18/1.58 't_a', 't_a' ) ) ],
% 1.18/1.58 [ ~( =( 'v_a', 'v_b' ) ) ]
% 1.18/1.58 ] .
% 1.18/1.58
% 1.18/1.58
% 1.18/1.58 percentage equality = 0.213785, percentage horn = 0.909024
% 1.18/1.58 This is a problem with some equality
% 1.18/1.58
% 1.18/1.58
% 1.18/1.58
% 1.18/1.58 Options Used:
% 1.18/1.58
% 1.18/1.58 useres = 1
% 1.18/1.58 useparamod = 1
% 1.18/1.58 useeqrefl = 1
% 1.18/1.58 useeqfact = 1
% 1.18/1.58 usefactor = 1
% 1.18/1.58 usesimpsplitting = 0
% 1.18/1.58 usesimpdemod = 5
% 1.18/1.58 usesimpres = 3
% 1.18/1.58
% 1.18/1.58 resimpinuse = 1000
% 1.18/1.58 resimpclauses = 20000
% 1.18/1.58 substype = eqrewr
% 1.18/1.58 backwardsubs = 1
% 1.18/1.58 selectoldest = 5
% 1.18/1.58
% 1.18/1.58 litorderings [0] = split
% 1.18/1.58 litorderings [1] = extend the termordering, first sorting on arguments
% 1.18/1.58
% 1.18/1.58 termordering = kbo
% 1.18/1.58
% 1.18/1.58 litapriori = 0
% 1.18/1.58 termapriori = 1
% 1.18/1.58 litaposteriori = 0
% 1.18/1.58 termaposteriori = 0
% 1.18/1.58 demodaposteriori = 0
% 1.18/1.58 ordereqreflfact = 0
% 1.18/1.58
% 1.18/1.58 litselect = negord
% 1.18/1.58
% 1.18/1.58 maxweight = 15
% 1.18/1.58 maxdepth = 30000
% 1.18/1.58 maxlength = 115
% 1.18/1.58 maxnrvars = 195
% 1.18/1.58 excuselevel = 1
% 1.18/1.58 increasemaxweight = 1
% 1.18/1.58
% 1.18/1.58 maxselected = 10000000
% 1.18/1.58 maxnrclauses = 10000000
% 1.18/1.58
% 1.18/1.58 showgenerated = 0
% 1.18/1.58 showkept = 0
% 1.18/1.58 showselected = 0
% 1.18/1.58 showdeleted = 0
% 1.18/1.58 showresimp = 1
% 1.18/1.58 showstatus = 2000
% 1.18/1.58
% 1.18/1.58 prologoutput = 1
% 1.18/1.58 nrgoals = 5000000
% 1.18/1.58 totalproof = 1
% 1.18/1.58
% 1.18/1.58 Symbols occurring in the translation:
% 1.18/1.58
% 1.18/1.58 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.18/1.58 . [1, 2] (w:1, o:246, a:1, s:1, b:0),
% 1.18/1.58 ! [4, 1] (w:0, o:154, a:1, s:1, b:0),
% 1.18/1.58 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.18/1.58 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.18/1.58 'c_Tarski_Opotype_Opotype__ext' [44, 5] (w:1, o:452, a:1, s:1, b:0),
% 1.18/1.58
% 1.18/1.58 'c_Tarski_Opotype_Opset' [49, 3] (w:1, o:363, a:1, s:1, b:0),
% 1.18/1.58 'c_Tarski_Opotype_Oorder' [50, 3] (w:1, o:362, a:1, s:1, b:0),
% 1.18/1.58 'c_Tarski_Opotype_Omore' [51, 3] (w:1, o:364, a:1, s:1, b:0),
% 1.18/1.58 'c_Tarski_Opotype_Opset__update' [52, 4] (w:1, o:422, a:1, s:1, b:0)
% 1.18/1.58 ,
% 1.18/1.58 'c_Tarski_Opotype_Oorder__update' [53, 4] (w:1, o:421, a:1, s:1, b:0)
% 1.18/1.58 ,
% 1.18/1.58 'c_Tarski_Opotype_Omore__update' [54, 4] (w:1, o:423, a:1, s:1, b:0)
% 1.18/1.58 ,
% 1.18/1.58 'c_0' [55, 0] (w:1, o:40, a:1, s:1, b:0),
% 1.18/1.58 'c_Suc' [57, 1] (w:1, o:159, a:1, s:1, b:0),
% 1.18/1.58 'c_Binomial_Obinomial' [58, 2] (w:1, o:271, a:1, s:1, b:0),
% 1.18/1.58 'tc_nat' [60, 0] (w:1, o:43, a:1, s:1, b:0),
% 1.18/1.58 'c_plus' [61, 3] (w:1, o:365, a:1, s:1, b:0),
% 1.18/1.58 'c_1' [62, 0] (w:1, o:44, a:1, s:1, b:0),
% 1.18/1.58 'c_Datatype_Oo2s' [65, 2] (w:1, o:272, a:1, s:1, b:0),
% 1.18/1.58 'c_in' [66, 3] (w:1, o:366, a:1, s:1, b:0),
% 1.18/1.58 'c_Datatype_Ooption_OSome' [67, 2] (w:1, o:273, a:1, s:1, b:0),
% 1.18/1.58 'c_Datatype_Ooption_ONone' [68, 0] (w:1, o:45, a:1, s:1, b:0),
% 1.18/1.58 'c_Main_Onot__None__eq__1' [69, 2] (w:1, o:294, a:1, s:1, b:0),
% 1.18/1.58 'c_Main_Onot__Some__eq__1' [70, 2] (w:1, o:295, a:1, s:1, b:0),
% 1.18/1.58 'c_emptyset' [72, 0] (w:1, o:47, a:1, s:1, b:0),
% 1.18/1.58 'c_insert' [73, 3] (w:1, o:367, a:1, s:1, b:0),
% 1.18/1.58 'tc_Datatype_Ooption' [76, 1] (w:1, o:160, a:1, s:1, b:0),
% 1.18/1.58 'c_Nat_Osize' [77, 2] (w:1, o:310, a:1, s:1, b:0),
% 1.18/1.58 'c_Pair' [80, 4] (w:1, o:424, a:1, s:1, b:0),
% 1.18/1.58 'tc_prod' [81, 2] (w:1, o:311, a:1, s:1, b:0),
% 1.18/1.58 'c_Sum__Type_OInl' [82, 3] (w:1, o:356, a:1, s:1, b:0),
% 1.18/1.58 'tc_sum' [83, 2] (w:1, o:312, a:1, s:1, b:0),
% 1.18/1.58 'c_Sum__Type_OInr' [84, 3] (w:1, o:357, a:1, s:1, b:0),
% 1.18/1.58 'c_Datatype_Othe' [85, 2] (w:1, o:313, a:1, s:1, b:0),
% 1.18/1.58 'c_Product__Type_OUnity' [86, 0] (w:1, o:53, a:1, s:1, b:0),
% 1.18/1.58 'c_Datatype_Ounit_Ounit__case' [87, 3] (w:1, o:368, a:1, s:1, b:0),
% 1.18/1.58 'c_Datatype_Ounit_Ounit__rec' [88, 3] (w:1, o:369, a:1, s:1, b:0),
% 1.18/1.58 'tc_Product__Type_Ounit' [89, 0] (w:1, o:54, a:1, s:1, b:0),
% 1.18/1.58 'c_Datatype__Universe_OAtom' [90, 3] (w:1, o:370, a:1, s:1, b:0),
% 1.18/1.58 'c_Datatype__Universe_OScons' [93, 4] (w:1, o:425, a:1, s:1, b:0),
% 1.18/1.58 'c_Datatype__Universe_Odprod' [96, 4] (w:1, o:426, a:1, s:1, b:0),
% 1.18/1.58 'tc_Datatype__Universe_Onode' [97, 2] (w:1, o:314, a:1, s:1, b:0),
% 1.18/1.58 'tc_set' [98, 1] (w:1, o:161, a:1, s:1, b:0),
% 1.18/1.58 'c_Relation_ODomain' [99, 3] (w:1, o:352, a:1, s:1, b:0),
% 1.18/1.58 'c_Datatype__Universe_Ouprod' [100, 4] (w:1, o:427, a:1, s:1, b:0),
% 1.18/1.58 'c_Datatype__Universe_Odsum' [101, 4] (w:1, o:428, a:1, s:1, b:0),
% 1.18/1.58 'c_Datatype__Universe_Ousum' [102, 4] (w:1, o:429, a:1, s:1, b:0),
% 1.18/1.58 'c_Datatype__Universe_OIn0' [103, 3] (w:1, o:371, a:1, s:1, b:0),
% 1.18/1.58 'c_Datatype__Universe_OIn1' [104, 3] (w:1, o:372, a:1, s:1, b:0),
% 1.18/1.58 'c_Datatype__Universe_OLeaf' [105, 3] (w:1, o:373, a:1, s:1, b:0),
% 1.18/1.58 'c_Datatype__Universe_ONumb' [106, 3] (w:1, o:374, a:1, s:1, b:0),
% 1.18/1.58 'c_Datatype__Universe_Ontrunc' [109, 4] (w:1, o:430, a:1, s:1, b:0),
% 1.18/1.58
% 1.18/1.58 'c_div' [111, 3] (w:1, o:375, a:1, s:1, b:0),
% 1.18/1.58 'c_Divides_Oop_Amod' [112, 3] (w:1, o:376, a:1, s:1, b:0),
% 1.18/1.58 'c_lessequals' [114, 3] (w:1, o:377, a:1, s:1, b:0),
% 1.18/1.58 'c_less' [115, 3] (w:1, o:378, a:1, s:1, b:0),
% 1.18/1.58 'c_times' [117, 3] (w:1, o:380, a:1, s:1, b:0),
% 1.18/1.58 'c_Divides_Oop_Advd' [118, 3] (w:1, o:381, a:1, s:1, b:0),
% 1.18/1.58 'c_Equiv__Relations_Oquotient' [120, 3] (w:1, o:382, a:1, s:1, b:0),
% 1.18/1.58
% 1.18/1.58 'c_Extraction_Osumbool_OLeft' [122, 0] (w:1, o:79, a:1, s:1, b:0),
% 1.18/1.58 'c_Extraction_Osumbool_Osumbool__case' [123, 4] (w:1, o:431, a:1, s:1
% 1.18/1.58 , b:0),
% 1.18/1.58 'c_Extraction_Osumbool_ORight' [125, 0] (w:1, o:80, a:1, s:1, b:0),
% 1.18/1.58 'c_Extraction_Osumbool_Osumbool__rec' [126, 4] (w:1, o:432, a:1, s:1
% 1.18/1.58 , b:0),
% 1.18/1.58 'tc_Extraction_Osumbool' [127, 0] (w:1, o:81, a:1, s:1, b:0),
% 1.18/1.58 'class_Orderings_Olinorder' [128, 1] (w:1, o:165, a:1, s:1, b:0),
% 1.18/1.58 'c_Finite__Set_OFinites' [129, 0] (w:1, o:82, a:1, s:1, b:0),
% 1.18/1.58 'c_Finite__Set_OMax' [130, 2] (w:1, o:315, a:1, s:1, b:0),
% 1.18/1.58 'c_Orderings_Omax' [131, 3] (w:1, o:393, a:1, s:1, b:0),
% 1.18/1.58 'c_Main_OMax__le__iff__1' [133, 3] (w:1, o:409, a:1, s:1, b:0),
% 1.18/1.58 'c_Main_OMax__less__iff__1' [134, 3] (w:1, o:410, a:1, s:1, b:0),
% 1.18/1.58 'c_Finite__Set_OMin' [135, 2] (w:1, o:316, a:1, s:1, b:0),
% 1.18/1.58 'c_Main_OMin__ge__iff__1' [136, 3] (w:1, o:411, a:1, s:1, b:0),
% 1.18/1.58 'c_Main_OMin__gr__iff__1' [137, 3] (w:1, o:412, a:1, s:1, b:0),
% 1.18/1.58 'c_Orderings_Omin' [138, 3] (w:1, o:413, a:1, s:1, b:0),
% 1.18/1.58 'c_Finite__Set_Ocard' [139, 2] (w:1, o:317, a:1, s:1, b:0),
% 1.18/1.58 'c_minus' [142, 3] (w:1, o:414, a:1, s:1, b:0),
% 1.18/1.58 'c_Pow' [143, 2] (w:1, o:320, a:1, s:1, b:0),
% 1.18/1.58 'c_union' [146, 3] (w:1, o:415, a:1, s:1, b:0),
% 1.18/1.58 'c_Relation_Oconverse' [147, 3] (w:1, o:353, a:1, s:1, b:0),
% 1.18/1.58 'c_NatArith_Oof__nat' [148, 2] (w:1, o:321, a:1, s:1, b:0),
% 1.18/1.58 'c_Fun_Oid' [149, 2] (w:1, o:322, a:1, s:1, b:0),
% 1.18/1.58 'c_GCD_Ogcd' [150, 1] (w:1, o:166, a:1, s:1, b:0),
% 1.18/1.58 'c_UNIV' [151, 0] (w:1, o:90, a:1, s:1, b:0),
% 1.18/1.58 'class_Numeral_Onumber__ring' [152, 1] (w:1, o:162, a:1, s:1, b:0),
% 1.18/1.58 'class_Ring__and__Field_Oordered__idom' [153, 1] (w:1, o:167, a:1, s:
% 1.18/1.58 1, b:0),
% 1.18/1.58 'c_Numeral_OMin' [154, 0] (w:1, o:91, a:1, s:1, b:0),
% 1.18/1.58 'c_Numeral_Onumber__of' [155, 2] (w:1, o:323, a:1, s:1, b:0),
% 1.18/1.58 'c_HOL_Oabs' [156, 2] (w:1, o:324, a:1, s:1, b:0),
% 1.18/1.58 'class_Power_Orecpower' [157, 1] (w:1, o:189, a:1, s:1, b:0),
% 1.18/1.58 'c_Nat_Opower' [158, 3] (w:1, o:392, a:1, s:1, b:0),
% 1.18/1.58 'c_Numeral_OPls' [159, 0] (w:1, o:92, a:1, s:1, b:0),
% 1.18/1.58 'c_Numeral_Obin__minus' [160, 1] (w:1, o:190, a:1, s:1, b:0),
% 1.18/1.58 'c_Numeral_Obin__add' [161, 2] (w:1, o:325, a:1, s:1, b:0),
% 1.18/1.58 'c_IntDef_Oneg' [162, 2] (w:1, o:327, a:1, s:1, b:0),
% 1.18/1.58 'c_Numeral_Obit_OB1' [163, 0] (w:1, o:94, a:1, s:1, b:0),
% 1.18/1.58 'c_Numeral_OBit' [164, 2] (w:1, o:328, a:1, s:1, b:0),
% 1.18/1.58 'c_Numeral_Obit_OB0' [165, 0] (w:1, o:93, a:1, s:1, b:0),
% 1.18/1.58 'c_IntDef_Oiszero' [168, 2] (w:1, o:329, a:1, s:1, b:0),
% 1.18/1.58 'c_IntDef_Oint' [169, 1] (w:1, o:191, a:1, s:1, b:0),
% 1.18/1.58 'tc_IntDef_Oint' [170, 0] (w:1, o:95, a:1, s:1, b:0),
% 1.18/1.58 'c_IntDef_Onat' [171, 1] (w:1, o:192, a:1, s:1, b:0),
% 1.18/1.58 'c_IntDef_Oof__int' [172, 2] (w:1, o:330, a:1, s:1, b:0),
% 1.18/1.58 'c_uminus' [174, 2] (w:1, o:331, a:1, s:1, b:0),
% 1.18/1.58 'c_IntDef_OInteg' [175, 0] (w:1, o:99, a:1, s:1, b:0),
% 1.18/1.58 'c_IntDef_OAbs__Integ' [176, 1] (w:1, o:193, a:1, s:1, b:0),
% 1.18/1.58 'c_IntDef_ORep__Integ' [177, 1] (w:1, o:194, a:1, s:1, b:0),
% 1.18/1.58 'class_Ring__and__Field_Ocomm__ring__1' [178, 1] (w:1, o:195, a:1, s:
% 1.18/1.58 1, b:0),
% 1.18/1.58 'c_IntDef_OInts' [179, 0] (w:1, o:100, a:1, s:1, b:0),
% 1.18/1.58 'class_Ring__and__Field_Ocomm__semiring__1__cancel' [180, 1] (w:1, o:
% 1.18/1.58 199, a:1, s:1, b:0),
% 1.18/1.58 'c_IntDef_ONats' [181, 0] (w:1, o:101, a:1, s:1, b:0),
% 1.18/1.58 'c_IntDef_Ointrel' [182, 0] (w:1, o:102, a:1, s:1, b:0),
% 1.18/1.58 'c_Relation_OImage' [183, 4] (w:1, o:433, a:1, s:1, b:0),
% 1.18/1.58 'c_IntDiv_OposDivAlg' [185, 1] (w:1, o:200, a:1, s:1, b:0),
% 1.18/1.58 'c_IntDiv_OnegateSnd' [186, 1] (w:1, o:201, a:1, s:1, b:0),
% 1.18/1.58 'c_fst' [187, 3] (w:1, o:416, a:1, s:1, b:0),
% 1.18/1.58 'c_IntDiv_OnegDivAlg' [188, 1] (w:1, o:202, a:1, s:1, b:0),
% 1.18/1.58 'c_snd' [189, 3] (w:1, o:379, a:1, s:1, b:0),
% 1.18/1.58 'c_IntDiv_Oadjust' [190, 2] (w:1, o:332, a:1, s:1, b:0),
% 1.18/1.58 'class_LOrder_Ojoin__semilorder' [193, 1] (w:1, o:203, a:1, s:1, b:0)
% 1.18/1.58 ,
% 1.18/1.58 'c_LOrder_Ojoin' [194, 3] (w:1, o:394, a:1, s:1, b:0),
% 1.18/1.58 'class_LOrder_Omeet__semilorder' [195, 1] (w:1, o:205, a:1, s:1, b:0)
% 1.18/1.58 ,
% 1.18/1.58 'c_LOrder_Omeet' [196, 3] (w:1, o:395, a:1, s:1, b:0),
% 1.18/1.58 'c_List_Olist_OCons' [198, 3] (w:1, o:396, a:1, s:1, b:0),
% 1.18/1.58 'tc_List_Olist' [200, 1] (w:1, o:206, a:1, s:1, b:0),
% 1.18/1.58 'c_List_Olex' [201, 2] (w:1, o:274, a:1, s:1, b:0),
% 1.18/1.58 'c_List_Olist_ONil' [202, 0] (w:1, o:103, a:1, s:1, b:0),
% 1.18/1.58 'c_List_Oset' [204, 2] (w:1, o:278, a:1, s:1, b:0),
% 1.18/1.58 'c_List_Oconcat' [205, 2] (w:1, o:280, a:1, s:1, b:0),
% 1.18/1.58 'c_Main_ONil__eq__concat__conv__1' [206, 2] (w:1, o:296, a:1, s:1, b:
% 1.18/1.58 0),
% 1.18/1.58 'c_append' [207, 3] (w:1, o:417, a:1, s:1, b:0),
% 1.18/1.58 'c_List_Orev' [208, 2] (w:1, o:275, a:1, s:1, b:0),
% 1.18/1.58 'c_List_Obutlast' [210, 2] (w:1, o:279, a:1, s:1, b:0),
% 1.18/1.58 'c_List_Olast' [211, 2] (w:1, o:281, a:1, s:1, b:0),
% 1.18/1.58 'c_List_Olists' [214, 2] (w:1, o:283, a:1, s:1, b:0),
% 1.18/1.58 'c_List_Otake' [215, 3] (w:1, o:400, a:1, s:1, b:0),
% 1.18/1.58 'c_List_Odrop' [216, 3] (w:1, o:401, a:1, s:1, b:0),
% 1.18/1.58 'c_List_Ochar_OChar' [219, 2] (w:1, o:284, a:1, s:1, b:0),
% 1.18/1.58 'tc_List_Ochar' [222, 0] (w:1, o:105, a:1, s:1, b:0),
% 1.18/1.58 'c_Main_Oconcat__eq__Nil__conv__1' [223, 2] (w:1, o:297, a:1, s:1, b:
% 1.18/1.58 0),
% 1.18/1.58 'c_List_Orotate1' [224, 2] (w:1, o:276, a:1, s:1, b:0),
% 1.18/1.58 'c_List_Odistinct' [225, 2] (w:1, o:285, a:1, s:1, b:0),
% 1.18/1.58 'c_inter' [226, 3] (w:1, o:418, a:1, s:1, b:0),
% 1.18/1.58 'c_List_Oremove1' [227, 3] (w:1, o:402, a:1, s:1, b:0),
% 1.18/1.58 'c_List_Orotate' [228, 3] (w:1, o:403, a:1, s:1, b:0),
% 1.18/1.58 'c_List_Osublist' [230, 3] (w:1, o:398, a:1, s:1, b:0),
% 1.18/1.58 'c_List_Oupt' [232, 2] (w:1, o:287, a:1, s:1, b:0),
% 1.18/1.58 'c_List_Oreplicate' [233, 3] (w:1, o:397, a:1, s:1, b:0),
% 1.18/1.58 'c_List_Ohd' [234, 2] (w:1, o:288, a:1, s:1, b:0),
% 1.18/1.58 'c_List_Otl' [235, 2] (w:1, o:286, a:1, s:1, b:0),
% 1.18/1.58 'c_List_Oitrev' [236, 3] (w:1, o:404, a:1, s:1, b:0),
% 1.18/1.58 'c_List_Olist__update' [238, 4] (w:1, o:434, a:1, s:1, b:0),
% 1.18/1.58 'c_List_Oremdups' [239, 2] (w:1, o:277, a:1, s:1, b:0),
% 1.18/1.58 'c_List_Ozip' [240, 4] (w:1, o:435, a:1, s:1, b:0),
% 1.18/1.58 'c_List_Olexn' [241, 3] (w:1, o:405, a:1, s:1, b:0),
% 1.18/1.58 'c_List_Olexord' [242, 2] (w:1, o:289, a:1, s:1, b:0),
% 1.18/1.58 'c_Main_Olexord__Nil__left__1' [243, 2] (w:1, o:298, a:1, s:1, b:0),
% 1.18/1.58
% 1.18/1.58 'c_Main_Olexord__Nil__left__2' [244, 2] (w:1, o:299, a:1, s:1, b:0),
% 1.18/1.58
% 1.18/1.58 'c_List_Olist__inter' [250, 3] (w:1, o:406, a:1, s:1, b:0),
% 1.18/1.58 'c_List_Onth' [251, 3] (w:1, o:407, a:1, s:1, b:0),
% 1.18/1.58 'c_List_Olistrel' [252, 2] (w:1, o:282, a:1, s:1, b:0),
% 1.18/1.58 'c_List_Olistset' [253, 2] (w:1, o:290, a:1, s:1, b:0),
% 1.18/1.58 'c_List_Oset__Cons' [255, 3] (w:1, o:399, a:1, s:1, b:0),
% 1.18/1.58 'c_List_Onibble_ONibble9' [269, 0] (w:1, o:116, a:1, s:1, b:0),
% 1.18/1.58 'c_List_Onibble_Onibble__case' [270, 18] (w:1, o:468, a:1, s:1, b:0)
% 1.18/1.58 ,
% 1.18/1.58 'c_List_Onibble_ONibbleA' [272, 0] (w:1, o:117, a:1, s:1, b:0),
% 1.18/1.58 'c_List_Onibble_ONibbleB' [273, 0] (w:1, o:118, a:1, s:1, b:0),
% 1.18/1.58 'c_List_Onibble_ONibbleC' [274, 0] (w:1, o:119, a:1, s:1, b:0),
% 1.18/1.58 'c_List_Onibble_ONibbleD' [275, 0] (w:1, o:120, a:1, s:1, b:0),
% 1.18/1.58 'c_List_Onibble_ONibbleE' [276, 0] (w:1, o:121, a:1, s:1, b:0),
% 1.18/1.58 'c_List_Onibble_ONibbleF' [277, 0] (w:1, o:122, a:1, s:1, b:0),
% 1.18/1.58 'c_List_Onibble_ONibble0' [278, 0] (w:1, o:123, a:1, s:1, b:0),
% 1.18/1.58 'c_List_Onibble_ONibble1' [279, 0] (w:1, o:124, a:1, s:1, b:0),
% 1.18/1.58 'c_List_Onibble_ONibble2' [280, 0] (w:1, o:125, a:1, s:1, b:0),
% 1.18/1.58 'c_List_Onibble_ONibble3' [281, 0] (w:1, o:126, a:1, s:1, b:0),
% 1.18/1.58 'c_List_Onibble_ONibble4' [282, 0] (w:1, o:127, a:1, s:1, b:0),
% 1.18/1.58 'c_List_Onibble_ONibble5' [283, 0] (w:1, o:128, a:1, s:1, b:0),
% 1.18/1.58 'c_List_Onibble_ONibble6' [284, 0] (w:1, o:129, a:1, s:1, b:0),
% 1.18/1.58 'c_List_Onibble_ONibble7' [285, 0] (w:1, o:130, a:1, s:1, b:0),
% 1.18/1.58 'c_List_Onibble_ONibble8' [286, 0] (w:1, o:115, a:1, s:1, b:0),
% 1.18/1.58 'c_List_Onibble_Onibble__rec' [287, 18] (w:1, o:469, a:1, s:1, b:0),
% 1.18/1.58
% 1.18/1.58 'tc_List_Onibble' [288, 0] (w:1, o:131, a:1, s:1, b:0),
% 1.18/1.58 'c_List_Onull' [289, 2] (w:1, o:291, a:1, s:1, b:0),
% 1.18/1.58 'c_List_Oop_Amem' [290, 3] (w:1, o:408, a:1, s:1, b:0),
% 1.18/1.58 'c_SetInterval_OlessThan' [292, 2] (w:1, o:336, a:1, s:1, b:0),
% 1.18/1.58 'c_Map_Omap__of' [295, 4] (w:1, o:436, a:1, s:1, b:0),
% 1.18/1.58 'class_Ring__and__Field_Oordered__semidom' [296, 1] (w:1, o:208, a:1
% 1.18/1.58 , s:1, b:0),
% 1.18/1.58 'c_Numeral_Obin__succ' [297, 1] (w:1, o:209, a:1, s:1, b:0),
% 1.18/1.58 'c_Numeral_Obin__mult' [299, 2] (w:1, o:337, a:1, s:1, b:0),
% 1.18/1.58 'class_Numeral_Onumber' [300, 1] (w:1, o:163, a:1, s:1, b:0),
% 1.18/1.58 'class_Ring__and__Field_Odivision__by__zero' [301, 1] (w:1, o:212, a:
% 1.18/1.58 1, s:1, b:0),
% 1.18/1.58 'class_Ring__and__Field_Ofield' [302, 1] (w:1, o:213, a:1, s:1, b:0)
% 1.18/1.58 ,
% 1.18/1.58 'c_divide' [303, 3] (w:1, o:419, a:1, s:1, b:0),
% 1.18/1.58 'class_Ring__and__Field_Oordered__field' [304, 1] (w:1, o:214, a:1
% 1.18/1.58 , s:1, b:0),
% 1.18/1.58 'class_HOL_Oone' [305, 1] (w:1, o:215, a:1, s:1, b:0),
% 1.18/1.59 'class_OrderedGroup_Oab__group__add' [306, 1] (w:1, o:168, a:1, s:1
% 1.18/1.59 , b:0),
% 1.18/1.59 'c_HOL_Oinverse' [307, 2] (w:1, o:326, a:1, s:1, b:0),
% 1.18/1.59 'class_OrderedGroup_Opordered__ab__group__add' [308, 1] (w:1, o:170
% 1.18/1.59 , a:1, s:1, b:0),
% 1.18/1.59 'class_Ring__and__Field_Oring' [309, 1] (w:1, o:216, a:1, s:1, b:0),
% 1.18/1.59
% 1.18/1.59 'class_Ring__and__Field_Osemiring' [310, 1] (w:1, o:218, a:1, s:1, b:
% 1.18/1.59 0),
% 1.18/1.59 'class_Ring__and__Field_Oordered__ring__strict' [311, 1] (w:1, o:207
% 1.18/1.59 , a:1, s:1, b:0),
% 1.18/1.59 'c_Numeral_Obin__pred' [312, 1] (w:1, o:219, a:1, s:1, b:0),
% 1.18/1.59 'c_Numeral_Obit_Obit__case' [313, 4] (w:1, o:449, a:1, s:1, b:0),
% 1.18/1.59 'c_Numeral_Obit_Obit__rec' [314, 4] (w:1, o:450, a:1, s:1, b:0),
% 1.18/1.59 'tc_Numeral_Obit' [315, 0] (w:1, o:133, a:1, s:1, b:0),
% 1.18/1.59 'class_OrderedGroup_Olordered__ab__group__abs' [316, 1] (w:1, o:171
% 1.18/1.59 , a:1, s:1, b:0),
% 1.18/1.59 'class_OrderedGroup_Ocomm__monoid__add' [317, 1] (w:1, o:172, a:1, s:
% 1.18/1.59 1, b:0),
% 1.18/1.59 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [318, 1]
% 1.18/1.59 (w:1, o:173, a:1, s:1, b:0),
% 1.18/1.59 'class_OrderedGroup_Ocancel__semigroup__add' [319, 1] (w:1, o:174, a:
% 1.18/1.59 1, s:1, b:0),
% 1.18/1.59 'class_OrderedGroup_Olordered__ab__group' [320, 1] (w:1, o:175, a:1
% 1.18/1.59 , s:1, b:0),
% 1.18/1.59 'class_OrderedGroup_Omonoid__mult' [321, 1] (w:1, o:178, a:1, s:1, b:
% 1.18/1.59 0),
% 1.18/1.59 'c_OrderedGroup_Onprt' [322, 2] (w:1, o:318, a:1, s:1, b:0),
% 1.18/1.59 'c_OrderedGroup_Opprt' [323, 2] (w:1, o:319, a:1, s:1, b:0),
% 1.18/1.59 'class_Orderings_Oorder' [324, 1] (w:1, o:179, a:1, s:1, b:0),
% 1.18/1.59 'c_Parity_Oeven' [325, 2] (w:1, o:338, a:1, s:1, b:0),
% 1.18/1.59 'c_Main_Osurj__pair__1' [327, 3] (w:1, o:383, a:1, s:1, b:0),
% 1.18/1.59 'c_Main_Osurj__pair__2' [328, 3] (w:1, o:384, a:1, s:1, b:0),
% 1.18/1.59 'c_Relation_OId' [329, 0] (w:1, o:134, a:1, s:1, b:0),
% 1.18/1.59 'c_Relation_Odiag' [330, 2] (w:1, o:333, a:1, s:1, b:0),
% 1.18/1.59 'c_Relation_Orel__comp' [331, 5] (w:1, o:453, a:1, s:1, b:0),
% 1.18/1.59 'c_Relation_ORange' [333, 3] (w:1, o:354, a:1, s:1, b:0),
% 1.18/1.59 'class_Ring__and__Field_Oaxclass__0__neq__1' [334, 1] (w:1, o:220, a:
% 1.18/1.59 1, s:1, b:0),
% 1.18/1.59 'class_Ring__and__Field_Osemiring__0__cancel' [335, 1] (w:1, o:221
% 1.18/1.59 , a:1, s:1, b:0),
% 1.18/1.59 'c_SetInterval_OatLeast' [336, 2] (w:1, o:339, a:1, s:1, b:0),
% 1.18/1.59 'c_SetInterval_OatMost' [337, 2] (w:1, o:340, a:1, s:1, b:0),
% 1.18/1.59 'c_SetInterval_OgreaterThan' [338, 2] (w:1, o:341, a:1, s:1, b:0),
% 1.18/1.59 'c_SetInterval_OatLeastAtMost' [339, 3] (w:1, o:358, a:1, s:1, b:0),
% 1.18/1.59
% 1.18/1.59 'class_Orderings_Oord' [340, 1] (w:1, o:180, a:1, s:1, b:0),
% 1.18/1.59 'c_SetInterval_OatLeastLessThan' [341, 3] (w:1, o:359, a:1, s:1, b:0)
% 1.18/1.59 ,
% 1.18/1.59 'c_SetInterval_OgreaterThanAtMost' [342, 3] (w:1, o:360, a:1, s:1, b:
% 1.18/1.59 0),
% 1.18/1.59 'c_SetInterval_OgreaterThanLessThan' [343, 3] (w:1, o:361, a:1, s:1
% 1.18/1.59 , b:0),
% 1.18/1.59 'c_Inter' [345, 2] (w:1, o:342, a:1, s:1, b:0),
% 1.18/1.59 'c_Main_OInter__UNIV__conv__1__1' [346, 2] (w:1, o:300, a:1, s:1, b:0
% 1.18/1.59 ),
% 1.18/1.59 'c_Main_OInter__UNIV__conv__2__1' [347, 2] (w:1, o:301, a:1, s:1, b:0
% 1.18/1.59 ),
% 1.18/1.59 'c_Main_OInter__iff__1' [348, 3] (w:1, o:385, a:1, s:1, b:0),
% 1.18/1.59 'c_Union' [349, 2] (w:1, o:345, a:1, s:1, b:0),
% 1.18/1.59 'c_Main_OUnion__empty__conv__1' [350, 2] (w:1, o:302, a:1, s:1, b:0)
% 1.18/1.59 ,
% 1.18/1.59 'c_Main_OUnion__iff__1' [351, 3] (w:1, o:386, a:1, s:1, b:0),
% 1.18/1.59 'c_Main_Oall__not__in__conv__1' [352, 2] (w:1, o:303, a:1, s:1, b:0)
% 1.18/1.59 ,
% 1.18/1.59 'c_Set_Ocontents' [353, 2] (w:1, o:346, a:1, s:1, b:0),
% 1.18/1.59 'c_Main_Oempty__Union__conv__1' [354, 2] (w:1, o:304, a:1, s:1, b:0)
% 1.18/1.59 ,
% 1.18/1.59 'c_Sum__Type_OPlus' [355, 4] (w:1, o:420, a:1, s:1, b:0),
% 1.18/1.59 'c_Transitive__Closure_Ortrancl' [356, 2] (w:1, o:343, a:1, s:1, b:0)
% 1.18/1.59 ,
% 1.18/1.59 'c_Transitive__Closure_Otrancl' [357, 2] (w:1, o:344, a:1, s:1, b:0)
% 1.18/1.59 ,
% 1.18/1.59 'c_Wellfounded__Recursion_Oacyclic' [358, 2] (w:1, o:347, a:1, s:1
% 1.18/1.59 , b:0),
% 1.18/1.59 'c_Wellfounded__Recursion_Owf' [359, 2] (w:1, o:348, a:1, s:1, b:0),
% 1.18/1.59
% 1.18/1.59 'c_Wellfounded__Relations_Oless__than' [360, 0] (w:1, o:137, a:1, s:1
% 1.18/1.59 , b:0),
% 1.18/1.59 'c_Main_OdprodE__1' [361, 5] (w:1, o:454, a:1, s:1, b:0),
% 1.18/1.59 'c_Main_OdprodE__2' [362, 5] (w:1, o:455, a:1, s:1, b:0),
% 2.10/2.45 'c_Main_OdprodE__3' [363, 5] (w:1, o:456, a:1, s:1, b:0),
% 2.10/2.45 'c_Main_OdprodE__4' [364, 5] (w:1, o:457, a:1, s:1, b:0),
% 2.10/2.45 'c_Main_OdsumE__1' [365, 4] (w:1, o:439, a:1, s:1, b:0),
% 2.10/2.45 'c_Main_OdsumE__2' [366, 4] (w:1, o:440, a:1, s:1, b:0),
% 2.10/2.45 'c_Main_OdsumE__3' [367, 4] (w:1, o:441, a:1, s:1, b:0),
% 2.10/2.45 'c_Main_OdsumE__4' [368, 4] (w:1, o:442, a:1, s:1, b:0),
% 2.10/2.45 'c_Main_OuprodE__1' [369, 5] (w:1, o:458, a:1, s:1, b:0),
% 2.10/2.45 'c_Main_OuprodE__2' [370, 5] (w:1, o:459, a:1, s:1, b:0),
% 2.10/2.45 'c_Main_OusumE__1' [371, 4] (w:1, o:443, a:1, s:1, b:0),
% 2.10/2.45 'c_Main_OusumE__2' [372, 4] (w:1, o:444, a:1, s:1, b:0),
% 2.10/2.45 'c_Main_Omod__eq__0D__dest__1' [374, 2] (w:1, o:293, a:1, s:1, b:0),
% 2.10/2.45
% 2.10/2.45 'c_Main_Ofinite__Union__1' [375, 2] (w:1, o:305, a:1, s:1, b:0),
% 2.10/2.45 'c_Infinite__Set_Oatmost__one' [377, 2] (w:1, o:349, a:1, s:1, b:0),
% 2.10/2.45
% 2.10/2.45 'c_Main_Ozmod__eq__0D__dest__1' [378, 2] (w:1, o:306, a:1, s:1, b:0)
% 2.10/2.45 ,
% 2.10/2.45 'c_Main_Oin__listsI__1' [379, 3] (w:1, o:387, a:1, s:1, b:0),
% 2.10/2.45 'c_Main_Olistrel__Cons1__1' [380, 5] (w:1, o:460, a:1, s:1, b:0),
% 2.10/2.45 'c_Main_Olistrel__Cons1__2' [381, 5] (w:1, o:461, a:1, s:1, b:0),
% 2.10/2.45 'c_Main_Olistrel__Cons2__1' [382, 5] (w:1, o:462, a:1, s:1, b:0),
% 2.10/2.45 'c_Main_Olistrel__Cons2__2' [383, 5] (w:1, o:463, a:1, s:1, b:0),
% 2.10/2.45 'c_List_Olenlex' [384, 2] (w:1, o:292, a:1, s:1, b:0),
% 2.10/2.45 'c_Main_ODomainE__1' [385, 4] (w:1, o:445, a:1, s:1, b:0),
% 2.10/2.45 'c_Main_OIdE__1' [386, 2] (w:1, o:307, a:1, s:1, b:0),
% 2.10/2.45 'c_Main_OImageE__1' [387, 5] (w:1, o:464, a:1, s:1, b:0),
% 2.10/2.45 'c_Main_ORangeE__1' [388, 4] (w:1, o:446, a:1, s:1, b:0),
% 2.10/2.45 'c_Main_OconverseE__1' [390, 4] (w:1, o:437, a:1, s:1, b:0),
% 2.10/2.45 'c_Main_OconverseE__2' [391, 4] (w:1, o:438, a:1, s:1, b:0),
% 2.10/2.45 'c_Main_OdiagE__1' [392, 3] (w:1, o:388, a:1, s:1, b:0),
% 2.10/2.45 'c_Main_Orel__compE__2' [395, 6] (w:1, o:466, a:1, s:1, b:0),
% 2.10/2.45 'c_Main_Orel__compE__3' [396, 6] (w:1, o:467, a:1, s:1, b:0),
% 2.10/2.45 'c_Main_Orel__compE__1' [397, 6] (w:1, o:465, a:1, s:1, b:0),
% 2.10/2.45 'c_Main_OInterI__1' [398, 3] (w:1, o:389, a:1, s:1, b:0),
% 2.10/2.45 'c_Main_OUnionE__1' [399, 3] (w:1, o:390, a:1, s:1, b:0),
% 2.10/2.45 'c_Main_OsubsetI__1' [400, 3] (w:1, o:391, a:1, s:1, b:0),
% 2.10/2.45 'c_Main_OPlusE__1' [401, 4] (w:1, o:447, a:1, s:1, b:0),
% 2.10/2.45 'c_Main_OPlusE__2' [402, 4] (w:1, o:448, a:1, s:1, b:0),
% 2.10/2.45 'c_Relation_Otrans' [403, 2] (w:1, o:334, a:1, s:1, b:0),
% 2.10/2.45 'c_Wellfounded__Relations_Olex__prod' [406, 4] (w:1, o:451, a:1, s:1
% 2.10/2.45 , b:0),
% 2.10/2.45 'class_Finite__Set_Ofinite' [410, 1] (w:1, o:222, a:1, s:1, b:0),
% 2.10/2.45 'class_HOL_Ominus' [411, 1] (w:1, o:223, a:1, s:1, b:0),
% 2.10/2.45 'class_Ring__and__Field_Ocomm__semiring' [412, 1] (w:1, o:210, a:1
% 2.10/2.45 , s:1, b:0),
% 2.10/2.45 'class_Ring__and__Field_Osemiring__0' [413, 1] (w:1, o:224, a:1, s:1
% 2.10/2.45 , b:0),
% 2.10/2.45 'class_Ring__and__Field_Ocomm__semiring__0' [414, 1] (w:1, o:197, a:1
% 2.10/2.45 , s:1, b:0),
% 2.10/2.45 'class_OrderedGroup_Ocancel__ab__semigroup__add' [415, 1] (w:1, o:181
% 2.10/2.45 , a:1, s:1, b:0),
% 2.10/2.45 'class_HOL_Oplus' [416, 1] (w:1, o:225, a:1, s:1, b:0),
% 2.10/2.45 'class_Ring__and__Field_Ocomm__semiring__0__cancel' [417, 1] (w:1, o:
% 2.10/2.45 198, a:1, s:1, b:0),
% 2.10/2.45 'class_Ring__and__Field_Ocomm__ring' [418, 1] (w:1, o:196, a:1, s:1
% 2.10/2.45 , b:0),
% 2.10/2.45 'class_OrderedGroup_Ocomm__monoid__mult' [419, 1] (w:1, o:182, a:1
% 2.10/2.45 , s:1, b:0),
% 2.10/2.45 'class_Ring__and__Field_Osemiring__1' [420, 1] (w:1, o:226, a:1, s:1
% 2.10/2.45 , b:0),
% 2.10/2.45 'class_Ring__and__Field_Ocomm__semiring__1' [421, 1] (w:1, o:211, a:1
% 2.10/2.45 , s:1, b:0),
% 2.10/2.45 'class_Ring__and__Field_Osemiring__1__cancel' [422, 1] (w:1, o:227
% 2.10/2.45 , a:1, s:1, b:0),
% 2.10/2.45 'class_Ring__and__Field_Oring__1' [423, 1] (w:1, o:217, a:1, s:1, b:0
% 2.10/2.45 ),
% 2.10/2.45 'class_HOL_Otimes' [424, 1] (w:1, o:228, a:1, s:1, b:0),
% 2.10/2.45 'class_LOrder_Olorder' [425, 1] (w:1, o:204, a:1, s:1, b:0),
% 2.10/2.45 'class_OrderedGroup_Opordered__ab__semigroup__add' [426, 1] (w:1, o:
% 2.10/2.45 183, a:1, s:1, b:0),
% 2.10/2.45 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [427, 1]
% 2.10/2.45 (w:1, o:184, a:1, s:1, b:0),
% 11.84/12.21 'class_OrderedGroup_Oordered__cancel__ab__semigroup__add' [428, 1]
% 11.84/12.21 (w:1, o:169, a:1, s:1, b:0),
% 11.84/12.21 'class_HOL_Ozero' [429, 1] (w:1, o:229, a:1, s:1, b:0),
% 11.84/12.21 'class_Ring__and__Field_Opordered__semiring' [430, 1] (w:1, o:233, a:
% 11.84/12.21 1, s:1, b:0),
% 11.84/12.21 'class_Ring__and__Field_Opordered__cancel__semiring' [431, 1] (w:1
% 11.84/12.21 , o:234, a:1, s:1, b:0),
% 11.84/12.21 'class_Ring__and__Field_Oordered__semiring__strict' [432, 1] (w:1, o:
% 11.84/12.21 230, a:1, s:1, b:0),
% 11.84/12.21 'class_Ring__and__Field_Opordered__comm__semiring' [433, 1] (w:1, o:
% 11.84/12.21 236, a:1, s:1, b:0),
% 11.84/12.21 'class_Ring__and__Field_Opordered__cancel__comm__semiring' [434, 1]
% 11.84/12.21 (w:1, o:237, a:1, s:1, b:0),
% 11.84/12.21 'class_Ring__and__Field_Oordered__comm__semiring__strict' [435, 1]
% 11.84/12.21 (w:1, o:231, a:1, s:1, b:0),
% 11.84/12.21 'class_Ring__and__Field_Oaxclass__abs__if' [436, 1] (w:1, o:238, a:1
% 11.84/12.21 , s:1, b:0),
% 11.84/12.21 'class_Ring__and__Field_Opordered__ring' [437, 1] (w:1, o:232, a:1
% 11.84/12.21 , s:1, b:0),
% 11.84/12.21 'class_OrderedGroup_Olordered__ab__group__meet' [438, 1] (w:1, o:176
% 11.84/12.21 , a:1, s:1, b:0),
% 11.84/12.21 'class_OrderedGroup_Olordered__ab__group__join' [439, 1] (w:1, o:177
% 11.84/12.21 , a:1, s:1, b:0),
% 11.84/12.21 'class_Ring__and__Field_Olordered__ring' [440, 1] (w:1, o:239, a:1
% 11.84/12.21 , s:1, b:0),
% 11.84/12.21 'class_Ring__and__Field_Oaxclass__no__zero__divisors' [441, 1] (w:1
% 11.84/12.21 , o:240, a:1, s:1, b:0),
% 11.84/12.21 'class_Ring__and__Field_Oidom' [442, 1] (w:1, o:241, a:1, s:1, b:0),
% 11.84/12.21
% 11.84/12.21 'class_OrderedGroup_Osemigroup__add' [443, 1] (w:1, o:185, a:1, s:1
% 11.84/12.21 , b:0),
% 11.84/12.21 'class_Divides_Odiv' [444, 1] (w:1, o:242, a:1, s:1, b:0),
% 11.84/12.21 'class_Nat_Opower' [445, 1] (w:1, o:164, a:1, s:1, b:0),
% 11.84/12.21 'class_Parity_Oeven__odd' [446, 1] (w:1, o:243, a:1, s:1, b:0),
% 11.84/12.21 'class_OrderedGroup_Oab__semigroup__add' [447, 1] (w:1, o:186, a:1
% 11.84/12.21 , s:1, b:0),
% 11.84/12.21 'class_OrderedGroup_Osemigroup__mult' [448, 1] (w:1, o:187, a:1, s:1
% 11.84/12.21 , b:0),
% 11.84/12.21 'class_OrderedGroup_Oab__semigroup__mult' [449, 1] (w:1, o:188, a:1
% 11.84/12.21 , s:1, b:0),
% 11.84/12.21 'tc_bool' [450, 0] (w:1, o:144, a:1, s:1, b:0),
% 11.84/12.21 'tc_fun' [452, 2] (w:1, o:350, a:1, s:1, b:0),
% 11.84/12.21 'class_Wellfounded__Recursion_Owellorder' [453, 1] (w:1, o:244, a:1
% 11.84/12.21 , s:1, b:0),
% 11.84/12.21 'class_HOL_Oinverse' [455, 1] (w:1, o:245, a:1, s:1, b:0),
% 11.84/12.21 'class_Ring__and__Field_Opordered__comm__ring' [456, 1] (w:1, o:235
% 11.84/12.21 , a:1, s:1, b:0),
% 11.84/12.21 'c_Relation_Oantisym' [457, 2] (w:1, o:335, a:1, s:1, b:0),
% 11.84/12.21 'c_Main_Oantisym__def__1' [458, 2] (w:1, o:308, a:1, s:1, b:0),
% 11.84/12.21 'c_Main_Oantisym__def__2' [459, 2] (w:1, o:309, a:1, s:1, b:0),
% 11.84/12.21 'v_A' [460, 0] (w:1, o:147, a:1, s:1, b:0),
% 11.84/12.21 'v_cl' [461, 0] (w:1, o:149, a:1, s:1, b:0),
% 11.84/12.21 't_a' [462, 0] (w:1, o:150, a:1, s:1, b:0),
% 11.84/12.21 'c_Tarski_OPartialOrder' [464, 0] (w:1, o:89, a:1, s:1, b:0),
% 11.84/12.21 'tc_Tarski_Opotype_Opotype__ext__type' [465, 2] (w:1, o:351, a:1, s:1
% 11.84/12.21 , b:0),
% 11.84/12.21 'c_Relation_Orefl' [466, 3] (w:1, o:355, a:1, s:1, b:0),
% 11.84/12.21 'v_r' [467, 0] (w:1, o:152, a:1, s:1, b:0),
% 11.84/12.21 'v_a' [468, 0] (w:1, o:153, a:1, s:1, b:0),
% 11.84/12.21 'v_b' [469, 0] (w:1, o:148, a:1, s:1, b:0).
% 11.84/12.21
% 11.84/12.21
% 11.84/12.21 Starting Search:
% 11.84/12.21
% 11.84/12.21
% 11.84/12.21 Intermediate Status:
% 11.84/12.21 Generated: 3088
% 11.84/12.21 Kept: 2769
% 11.84/12.21 Inuse: 0
% 11.84/12.21 Deleted: 0
% 11.84/12.21 Deletedinuse: 0
% 11.84/12.21
% 11.84/12.21 Resimplifying inuse:
% 11.84/12.21 Done
% 11.84/12.21
% 11.84/12.21 Resimplifying inuse:
% 11.84/12.21 Done
% 11.84/12.21
% 11.84/12.21
% 11.84/12.21 Intermediate Status:
% 11.84/12.21 Generated: 8266
% 11.84/12.21 Kept: 4772
% 11.84/12.21 Inuse: 181
% 11.84/12.21 Deleted: 5
% 11.84/12.21 Deletedinuse: 0
% 11.84/12.21
% 11.84/12.21 Resimplifying inuse:
% 11.84/12.21 Done
% 11.84/12.21
% 11.84/12.21 Resimplifying inuse:
% 11.84/12.21 Done
% 11.84/12.21
% 11.84/12.21
% 11.84/12.21 Intermediate Status:
% 11.84/12.21 Generated: 15541
% 11.84/12.21 Kept: 6889
% 11.84/12.21 Inuse: 337
% 11.84/12.21 Deleted: 10
% 11.84/12.21 Deletedinuse: 1
% 11.84/12.21
% 11.84/12.21 Resimplifying inuse:
% 11.84/12.21 Done
% 11.84/12.21
% 11.84/12.21 Resimplifying inuse:
% 11.84/12.21 Done
% 11.84/12.21
% 11.84/12.21
% 11.84/12.21 Intermediate Status:
% 11.84/12.21 Generated: 21401
% 11.84/12.21 Kept: 9163
% 11.84/12.21 Inuse: 474
% 11.84/12.21 Deleted: 13
% 11.84/12.21 Deletedinuse: 1
% 11.84/12.21
% 11.84/12.21 Resimplifying inuse:
% 11.84/12.21 Done
% 11.84/12.21
% 11.84/12.21 Resimplifying inuse:
% 11.84/12.21 Done
% 11.84/12.21
% 11.84/12.21
% 11.84/12.21 Intermediate Status:
% 11.84/12.21 Generated: 25505
% 11.84/12.21 Kept: 11226
% 11.84/12.21 Inuse: 499
% 11.84/12.21 Deleted: 13
% 11.84/12.21 Deletedinuse: 1
% 11.84/12.21
% 11.84/12.21 Resimplifying inuse:
% 11.84/12.21 Done
% 11.84/12.21
% 11.84/12.21 Resimplifying inuse:
% 11.84/12.21 Done
% 11.84/12.21
% 11.84/12.21
% 11.84/12.21 Intermediate Status:
% 11.84/12.21 Generated: 30540
% 11.84/12.21 Kept: 13465
% 11.84/12.21 Inuse: 529
% 11.84/12.21 Deleted: 13
% 11.84/12.21 Deletedinuse: 1
% 11.84/12.21
% 11.84/12.21 Resimplifying inuse:
% 11.84/12.21 Done
% 11.84/12.21
% 11.84/12.21
% 11.84/12.21 Intermediate Status:
% 11.84/12.21 Generated: 35763
% 31.32/31.70 Kept: 15836
% 31.32/31.70 Inuse: 559
% 31.32/31.70 Deleted: 13
% 31.32/31.70 Deletedinuse: 1
% 31.32/31.70
% 31.32/31.70 Resimplifying inuse:
% 31.32/31.70 Done
% 31.32/31.70
% 31.32/31.70 Resimplifying inuse:
% 31.32/31.70 Done
% 31.32/31.70
% 31.32/31.70
% 31.32/31.70 Intermediate Status:
% 31.32/31.70 Generated: 41881
% 31.32/31.70 Kept: 17982
% 31.32/31.70 Inuse: 638
% 31.32/31.70 Deleted: 14
% 31.32/31.70 Deletedinuse: 1
% 31.32/31.70
% 31.32/31.70 Resimplifying inuse:
% 31.32/31.70 Done
% 31.32/31.70
% 31.32/31.70 Resimplifying inuse:
% 31.32/31.70 Done
% 31.32/31.70
% 31.32/31.70
% 31.32/31.70 Intermediate Status:
% 31.32/31.70 Generated: 48691
% 31.32/31.70 Kept: 19992
% 31.32/31.70 Inuse: 726
% 31.32/31.70 Deleted: 16
% 31.32/31.70 Deletedinuse: 1
% 31.32/31.70
% 31.32/31.70 Resimplifying inuse:
% 31.32/31.70 Done
% 31.32/31.70
% 31.32/31.70 Resimplifying clauses:
% 31.32/31.70 Done
% 31.32/31.70
% 31.32/31.70 Resimplifying inuse:
% 31.32/31.70 Done
% 31.32/31.70
% 31.32/31.70
% 31.32/31.70 Intermediate Status:
% 31.32/31.70 Generated: 56392
% 31.32/31.70 Kept: 22236
% 31.32/31.70 Inuse: 781
% 31.32/31.70 Deleted: 1684
% 31.32/31.70 Deletedinuse: 1
% 31.32/31.70
% 31.32/31.70 Resimplifying inuse:
% 31.32/31.70 Done
% 31.32/31.70
% 31.32/31.70 Resimplifying inuse:
% 31.32/31.70 Done
% 31.32/31.70
% 31.32/31.70
% 31.32/31.70 Intermediate Status:
% 31.32/31.70 Generated: 66769
% 31.32/31.70 Kept: 24869
% 31.32/31.70 Inuse: 866
% 31.32/31.70 Deleted: 1684
% 31.32/31.70 Deletedinuse: 1
% 31.32/31.70
% 31.32/31.70 Resimplifying inuse:
% 31.32/31.70 Done
% 31.32/31.70
% 31.32/31.70 Resimplifying inuse:
% 31.32/31.70 Done
% 31.32/31.70
% 31.32/31.70
% 31.32/31.70 Intermediate Status:
% 31.32/31.70 Generated: 73749
% 31.32/31.70 Kept: 26985
% 31.32/31.70 Inuse: 901
% 31.32/31.70 Deleted: 1685
% 31.32/31.70 Deletedinuse: 2
% 31.32/31.70
% 31.32/31.70 Resimplifying inuse:
% 31.32/31.70 Done
% 31.32/31.70
% 31.32/31.70 Resimplifying inuse:
% 31.32/31.70 Done
% 31.32/31.70
% 31.32/31.70
% 31.32/31.70 Intermediate Status:
% 31.32/31.70 Generated: 81322
% 31.32/31.70 Kept: 29559
% 31.32/31.70 Inuse: 946
% 31.32/31.70 Deleted: 1686
% 31.32/31.70 Deletedinuse: 3
% 31.32/31.70
% 31.32/31.70 Resimplifying inuse:
% 31.32/31.70 Done
% 31.32/31.70
% 31.32/31.70 Resimplifying inuse:
% 31.32/31.70 Done
% 31.32/31.70
% 31.32/31.70
% 31.32/31.70 Intermediate Status:
% 31.32/31.70 Generated: 89604
% 31.32/31.70 Kept: 32209
% 31.32/31.70 Inuse: 1016
% 31.32/31.70 Deleted: 1686
% 31.32/31.70 Deletedinuse: 3
% 31.32/31.70
% 31.32/31.70 Resimplifying inuse:
% 31.32/31.70 Done
% 31.32/31.70
% 31.32/31.70 Resimplifying inuse:
% 31.32/31.70 Done
% 31.32/31.70
% 31.32/31.70
% 31.32/31.70 Intermediate Status:
% 31.32/31.70 Generated: 94883
% 31.32/31.70 Kept: 34248
% 31.32/31.70 Inuse: 1096
% 31.32/31.70 Deleted: 1686
% 31.32/31.70 Deletedinuse: 3
% 31.32/31.70
% 31.32/31.70 Resimplifying inuse:
% 31.32/31.70 Done
% 31.32/31.70
% 31.32/31.70 Resimplifying inuse:
% 31.32/31.70 Done
% 31.32/31.70
% 31.32/31.70
% 31.32/31.70 Intermediate Status:
% 31.32/31.70 Generated: 102322
% 31.32/31.70 Kept: 36444
% 31.32/31.70 Inuse: 1161
% 31.32/31.70 Deleted: 1690
% 31.32/31.70 Deletedinuse: 7
% 31.32/31.70
% 31.32/31.70 Resimplifying inuse:
% 31.32/31.70 Done
% 31.32/31.70
% 31.32/31.70 Resimplifying inuse:
% 31.32/31.70 Done
% 31.32/31.70
% 31.32/31.70
% 31.32/31.70 Intermediate Status:
% 31.32/31.70 Generated: 111944
% 31.32/31.70 Kept: 38452
% 31.32/31.70 Inuse: 1231
% 31.32/31.70 Deleted: 1690
% 31.32/31.70 Deletedinuse: 7
% 31.32/31.70
% 31.32/31.70 Resimplifying inuse:
% 31.32/31.70 Done
% 31.32/31.70
% 31.32/31.70 Resimplifying inuse:
% 31.32/31.70 Done
% 31.32/31.70
% 31.32/31.70
% 31.32/31.70 Intermediate Status:
% 31.32/31.70 Generated: 121248
% 31.32/31.70 Kept: 41024
% 31.32/31.70 Inuse: 1286
% 31.32/31.70 Deleted: 1690
% 31.32/31.70 Deletedinuse: 7
% 31.32/31.70
% 31.32/31.70 Resimplifying inuse:
% 31.32/31.70 Done
% 31.32/31.70
% 31.32/31.70 Resimplifying clauses:
% 31.32/31.70 Done
% 31.32/31.70
% 31.32/31.70 Resimplifying inuse:
% 31.32/31.70 Done
% 31.32/31.70
% 31.32/31.70
% 31.32/31.70 Intermediate Status:
% 31.32/31.70 Generated: 129336
% 31.32/31.70 Kept: 44030
% 31.32/31.70 Inuse: 1301
% 31.32/31.70 Deleted: 2058
% 31.32/31.70 Deletedinuse: 7
% 31.32/31.70
% 31.32/31.70 Resimplifying inuse:
% 31.32/31.70 Done
% 31.32/31.70
% 31.32/31.70 Resimplifying inuse:
% 31.32/31.70 Done
% 31.32/31.70
% 31.32/31.70
% 31.32/31.70 Intermediate Status:
% 31.32/31.70 Generated: 135219
% 31.32/31.70 Kept: 46113
% 31.32/31.70 Inuse: 1321
% 31.32/31.70 Deleted: 2058
% 31.32/31.70 Deletedinuse: 7
% 31.32/31.70
% 31.32/31.70 Resimplifying inuse:
% 31.32/31.70 Done
% 31.32/31.70
% 31.32/31.70 Resimplifying inuse:
% 31.32/31.70 Done
% 31.32/31.70
% 31.32/31.70
% 31.32/31.70 Intermediate Status:
% 31.32/31.70 Generated: 143560
% 31.32/31.70 Kept: 49058
% 31.32/31.70 Inuse: 1346
% 31.32/31.70 Deleted: 2058
% 31.32/31.70 Deletedinuse: 7
% 31.32/31.70
% 31.32/31.70 Resimplifying inuse:
% 31.32/31.70 Done
% 31.32/31.70
% 31.32/31.70 Resimplifying inuse:
% 31.32/31.70 Done
% 31.32/31.70
% 31.32/31.70
% 31.32/31.70 Intermediate Status:
% 31.32/31.70 Generated: 149864
% 31.32/31.70 Kept: 51089
% 31.32/31.70 Inuse: 1383
% 31.32/31.70 Deleted: 2058
% 31.32/31.70 Deletedinuse: 7
% 31.32/31.70
% 31.32/31.70 Resimplifying inuse:
% 31.32/31.70 Done
% 31.32/31.70
% 31.32/31.70 Resimplifying inuse:
% 31.32/31.70 Done
% 31.32/31.70
% 31.32/31.70
% 31.32/31.70 Intermediate Status:
% 31.32/31.70 Generated: 161227
% 31.32/31.70 Kept: 55250
% 31.32/31.70 Inuse: 1416
% 31.32/31.70 Deleted: 2058
% 31.32/31.70 Deletedinuse: 7
% 31.32/31.70
% 31.32/31.70 Resimplifying inuse:
% 31.32/31.70 Done
% 31.32/31.70
% 31.32/31.70 Resimplifying inuse:
% 31.32/31.70 Done
% 31.32/31.70
% 31.32/31.70
% 31.32/31.70 Intermediate Status:
% 31.32/31.70 Generated: 175660
% 31.32/31.70 Kept: 58831
% 31.32/31.70 Inuse: 1426
% 31.32/31.70 Deleted: 2058
% 31.32/31.70 Deletedinuse: 7
% 31.32/31.70
% 31.32/31.70 Resimplifying inuse:
% 31.32/31.71 Done
% 31.32/31.71
% 31.32/31.71 Resimplifying inuse:
% 31.32/31.71 Done
% 31.32/31.71
% 31.32/31.71
% 31.32/31.71 Intermediate Status:
% 31.32/31.71 Generated: 181837
% 31.32/31.71 Kept: 60889
% 31.32/31.71 Inuse: 1439
% 31.32/31.71 Deleted: 2058
% 31.32/31.71 Deletedinuse: 7
% 31.32/31.71
% 31.32/31.71 Resimplifying inuse:
% 31.32/31.71 Done
% 31.32/31.71
% 31.32/31.71 Resimplifying clauses:
% 31.32/31.71 Done
% 31.32/31.71
% 31.32/31.71 Resimplifying inuse:
% 31.32/31.71 Done
% 31.32/31.71
% 31.32/31.71
% 31.32/31.71 Intermediate Status:
% 31.32/31.71 Generated: 187977
% 31.32/31.71 Kept: 63337
% 31.32/31.71 Inuse: 1451
% 31.32/31.71 Deleted: 2297
% 31.32/31.71 Deletedinuse: 7
% 31.32/31.71
% 31.32/31.71 Resimplifying inuse:
% 31.32/31.71 Done
% 31.32/31.71
% 31.32/31.71 Resimplifying inuse:
% 31.32/31.71 Done
% 31.32/31.71
% 31.32/31.71
% 31.32/31.71 Intermediate Status:
% 31.32/31.71 Generated: 194011
% 31.32/31.71 Kept: 65812
% 31.32/31.71 Inuse: 1466
% 31.32/31.71 Deleted: 2297
% 31.32/31.71 Deletedinuse: 7
% 31.32/31.71
% 31.32/31.71 Resimplifying inuse:
% 31.32/31.71 Done
% 31.32/31.71
% 31.32/31.71 Resimplifying inuse:
% 31.32/31.71 Done
% 31.32/31.71
% 31.32/31.71
% 31.32/31.71 Intermediate Status:
% 31.32/31.71 Generated: 198565
% 31.32/31.71 Kept: 67830
% 31.32/31.71 Inuse: 1474
% 31.32/31.71 Deleted: 2297
% 31.32/31.71 Deletedinuse: 7
% 31.32/31.71
% 31.32/31.71 Resimplifying inuse:
% 31.32/31.71 Done
% 31.32/31.71
% 31.32/31.71
% 31.32/31.71 Intermediate Status:
% 31.32/31.71 Generated: 202933
% 31.32/31.71 Kept: 69905
% 31.32/31.71 Inuse: 1481
% 31.32/31.71 Deleted: 2297
% 31.32/31.71 Deletedinuse: 7
% 31.32/31.71
% 31.32/31.71 Resimplifying inuse:
% 31.32/31.71 Done
% 31.32/31.71
% 31.32/31.71
% 31.32/31.71 Intermediate Status:
% 31.32/31.71 Generated: 215737
% 31.32/31.71 Kept: 72594
% 31.32/31.71 Inuse: 1491
% 31.32/31.71 Deleted: 2298
% 31.32/31.71 Deletedinuse: 8
% 31.32/31.71
% 31.32/31.71 Resimplifying inuse:
% 31.32/31.71 Done
% 31.32/31.71
% 31.32/31.71 Resimplifying inuse:
% 62.43/62.85 Done
% 62.43/62.85
% 62.43/62.85
% 62.43/62.85 Intermediate Status:
% 62.43/62.85 Generated: 227039
% 62.43/62.85 Kept: 75348
% 62.43/62.85 Inuse: 1505
% 62.43/62.85 Deleted: 2299
% 62.43/62.85 Deletedinuse: 8
% 62.43/62.85
% 62.43/62.85 Resimplifying inuse:
% 62.43/62.85 Done
% 62.43/62.85
% 62.43/62.85 Resimplifying inuse:
% 62.43/62.85 Done
% 62.43/62.85
% 62.43/62.85
% 62.43/62.85 Intermediate Status:
% 62.43/62.85 Generated: 243685
% 62.43/62.85 Kept: 78757
% 62.43/62.85 Inuse: 1515
% 62.43/62.85 Deleted: 2299
% 62.43/62.85 Deletedinuse: 8
% 62.43/62.85
% 62.43/62.85 Resimplifying inuse:
% 62.43/62.85 Done
% 62.43/62.85
% 62.43/62.85 Resimplifying inuse:
% 62.43/62.85 Done
% 62.43/62.85
% 62.43/62.85
% 62.43/62.85 Intermediate Status:
% 62.43/62.85 Generated: 254183
% 62.43/62.85 Kept: 80760
% 62.43/62.85 Inuse: 1535
% 62.43/62.85 Deleted: 2301
% 62.43/62.85 Deletedinuse: 10
% 62.43/62.85
% 62.43/62.85 Resimplifying inuse:
% 62.43/62.85 Done
% 62.43/62.85
% 62.43/62.85 Resimplifying clauses:
% 62.43/62.85 Done
% 62.43/62.85
% 62.43/62.85
% 62.43/62.85 Intermediate Status:
% 62.43/62.85 Generated: 262807
% 62.43/62.85 Kept: 83339
% 62.43/62.85 Inuse: 1544
% 62.43/62.85 Deleted: 2539
% 62.43/62.85 Deletedinuse: 10
% 62.43/62.85
% 62.43/62.85 Resimplifying inuse:
% 62.43/62.85 Done
% 62.43/62.85
% 62.43/62.85 Resimplifying inuse:
% 62.43/62.85 Done
% 62.43/62.85
% 62.43/62.85
% 62.43/62.85 Intermediate Status:
% 62.43/62.85 Generated: 268229
% 62.43/62.85 Kept: 85656
% 62.43/62.85 Inuse: 1556
% 62.43/62.85 Deleted: 2539
% 62.43/62.85 Deletedinuse: 10
% 62.43/62.85
% 62.43/62.85 Resimplifying inuse:
% 62.43/62.85 Done
% 62.43/62.85
% 62.43/62.85
% 62.43/62.85 Intermediate Status:
% 62.43/62.85 Generated: 275524
% 62.43/62.85 Kept: 87658
% 62.43/62.85 Inuse: 1574
% 62.43/62.85 Deleted: 2539
% 62.43/62.85 Deletedinuse: 10
% 62.43/62.85
% 62.43/62.85 Resimplifying inuse:
% 62.43/62.85 Done
% 62.43/62.85
% 62.43/62.85 Resimplifying inuse:
% 62.43/62.85 Done
% 62.43/62.85
% 62.43/62.85
% 62.43/62.85 Intermediate Status:
% 62.43/62.85 Generated: 285003
% 62.43/62.85 Kept: 89685
% 62.43/62.85 Inuse: 1587
% 62.43/62.85 Deleted: 2539
% 62.43/62.85 Deletedinuse: 10
% 62.43/62.85
% 62.43/62.85 Resimplifying inuse:
% 62.43/62.85 Done
% 62.43/62.85
% 62.43/62.85
% 62.43/62.85 Intermediate Status:
% 62.43/62.85 Generated: 294331
% 62.43/62.85 Kept: 91760
% 62.43/62.85 Inuse: 1599
% 62.43/62.85 Deleted: 2539
% 62.43/62.85 Deletedinuse: 10
% 62.43/62.85
% 62.43/62.85 Resimplifying inuse:
% 62.43/62.85 Done
% 62.43/62.85
% 62.43/62.85 Resimplifying inuse:
% 62.43/62.85 Done
% 62.43/62.85
% 62.43/62.85
% 62.43/62.85 Intermediate Status:
% 62.43/62.85 Generated: 305171
% 62.43/62.85 Kept: 93775
% 62.43/62.85 Inuse: 1642
% 62.43/62.85 Deleted: 2539
% 62.43/62.85 Deletedinuse: 10
% 62.43/62.85
% 62.43/62.85 Resimplifying inuse:
% 62.43/62.85 Done
% 62.43/62.85
% 62.43/62.85 Resimplifying inuse:
% 62.43/62.85 Done
% 62.43/62.85
% 62.43/62.85
% 62.43/62.85 Intermediate Status:
% 62.43/62.85 Generated: 315427
% 62.43/62.85 Kept: 95794
% 62.43/62.85 Inuse: 1684
% 62.43/62.85 Deleted: 2539
% 62.43/62.85 Deletedinuse: 10
% 62.43/62.85
% 62.43/62.85 Resimplifying inuse:
% 62.43/62.85 Done
% 62.43/62.85
% 62.43/62.85 Resimplifying inuse:
% 62.43/62.85 Done
% 62.43/62.85
% 62.43/62.85
% 62.43/62.85 Intermediate Status:
% 62.43/62.85 Generated: 325531
% 62.43/62.85 Kept: 97812
% 62.43/62.85 Inuse: 1715
% 62.43/62.85 Deleted: 2539
% 62.43/62.85 Deletedinuse: 10
% 62.43/62.85
% 62.43/62.85 Resimplifying inuse:
% 62.43/62.85 Done
% 62.43/62.85
% 62.43/62.85 Resimplifying inuse:
% 62.43/62.85 Done
% 62.43/62.85
% 62.43/62.85
% 62.43/62.85 Intermediate Status:
% 62.43/62.85 Generated: 333308
% 62.43/62.85 Kept: 99812
% 62.43/62.85 Inuse: 1737
% 62.43/62.85 Deleted: 2539
% 62.43/62.85 Deletedinuse: 10
% 62.43/62.85
% 62.43/62.85 Resimplifying inuse:
% 62.43/62.85 Done
% 62.43/62.85
% 62.43/62.85
% 62.43/62.85 Intermediate Status:
% 62.43/62.85 Generated: 344861
% 62.43/62.85 Kept: 103321
% 62.43/62.85 Inuse: 1764
% 62.43/62.85 Deleted: 2539
% 62.43/62.85 Deletedinuse: 10
% 62.43/62.85
% 62.43/62.85 Resimplifying inuse:
% 62.43/62.85 Done
% 62.43/62.85
% 62.43/62.85 Resimplifying clauses:
% 62.43/62.85 Done
% 62.43/62.85
% 62.43/62.85 Resimplifying inuse:
% 62.43/62.85 Done
% 62.43/62.85
% 62.43/62.85
% 62.43/62.85 Intermediate Status:
% 62.43/62.85 Generated: 354648
% 62.43/62.85 Kept: 107042
% 62.43/62.85 Inuse: 1774
% 62.43/62.85 Deleted: 2681
% 62.43/62.85 Deletedinuse: 10
% 62.43/62.85
% 62.43/62.85 Resimplifying inuse:
% 62.43/62.85 Done
% 62.43/62.85
% 62.43/62.85 Resimplifying inuse:
% 62.43/62.85 Done
% 62.43/62.85
% 62.43/62.85
% 62.43/62.85 Intermediate Status:
% 62.43/62.85 Generated: 361355
% 62.43/62.85 Kept: 109121
% 62.43/62.85 Inuse: 1784
% 62.43/62.85 Deleted: 2681
% 62.43/62.85 Deletedinuse: 10
% 62.43/62.85
% 62.43/62.85 Resimplifying inuse:
% 62.43/62.85 Done
% 62.43/62.85
% 62.43/62.85
% 62.43/62.85 Intermediate Status:
% 62.43/62.85 Generated: 371216
% 62.43/62.85 Kept: 111552
% 62.43/62.85 Inuse: 1809
% 62.43/62.85 Deleted: 2681
% 62.43/62.85 Deletedinuse: 10
% 62.43/62.85
% 62.43/62.85 Resimplifying inuse:
% 62.43/62.85 Done
% 62.43/62.85
% 62.43/62.85 Resimplifying inuse:
% 62.43/62.85 Done
% 62.43/62.85
% 62.43/62.85
% 62.43/62.85 Intermediate Status:
% 62.43/62.85 Generated: 377918
% 62.43/62.85 Kept: 113618
% 62.43/62.85 Inuse: 1819
% 62.43/62.85 Deleted: 2681
% 62.43/62.85 Deletedinuse: 10
% 62.43/62.85
% 62.43/62.85 Resimplifying inuse:
% 62.43/62.85 Done
% 62.43/62.85
% 62.43/62.85
% 62.43/62.85 Intermediate Status:
% 62.43/62.85 Generated: 387984
% 62.43/62.85 Kept: 117196
% 62.43/62.85 Inuse: 1829
% 62.43/62.85 Deleted: 2681
% 62.43/62.85 Deletedinuse: 10
% 62.43/62.85
% 62.43/62.85 Resimplifying inuse:
% 62.43/62.85 Done
% 62.43/62.85
% 62.43/62.85
% 62.43/62.85 Intermediate Status:
% 62.43/62.85 Generated: 395817
% 62.43/62.85 Kept: 119590
% 62.43/62.85 Inuse: 1844
% 62.43/62.85 Deleted: 2681
% 62.43/62.85 Deletedinuse: 10
% 62.43/62.85
% 62.43/62.85 Resimplifying inuse:
% 62.43/62.85 Done
% 62.43/62.85
% 62.43/62.85 Resimplifying inuse:
% 62.43/62.85 Done
% 62.43/62.85
% 62.43/62.85
% 62.43/62.85 Intermediate Status:
% 62.43/62.85 Generated: 404214
% 62.43/62.85 Kept: 121928
% 62.43/62.85 Inuse: 1864
% 62.43/62.85 Deleted: 2681
% 62.43/62.85 Deletedinuse: 10
% 62.43/62.85
% 62.43/62.85 Resimplifying inuse:
% 62.43/62.85 Done
% 62.43/62.85
% 62.43/62.85
% 62.43/62.85 Intermediate Status:
% 62.43/62.85 Generated: 409689
% 62.43/62.85 Kept: 124264
% 62.43/62.85 Inuse: 1869
% 62.43/62.85 Deleted: 2681
% 62.43/62.85 Deletedinuse: 10
% 62.43/62.85
% 62.43/62.85 Resimplifying inuse:
% 62.43/62.85 Done
% 62.43/62.85
% 62.43/62.85 Resimplifying clauses:
% 62.43/62.85 Done
% 62.43/62.85
% 62.43/62.85 Resimplifying inuse:
% 62.43/62.85 Done
% 62.43/62.85
% 62.43/62.85
% 62.43/62.85 Intermediate Status:
% 62.43/62.85 Generated: 417192
% 62.43/62.85 Kept: 126265
% 62.43/62.85 Inuse: 1893
% 62.43/62.85 Deleted: 2956
% 62.43/62.85 Deletedinuse: 13
% 62.43/62.85
% 62.43/62.85 Resimplifying inuse:
% 62.43/62.85 Done
% 62.43/62.85
% 62.43/62.85 Resimplifying inuse:
% 62.43/62.85 Done
% 62.43/62.85
% 62.43/62.85
% 62.43/62.85 Intermediate Status:
% 62.43/62.85 Generated: 426199
% 62.43/62.85 Kept: 129110
% 62.43/62.85 Inuse: 1912
% 62.43/62.85 Deleted: 2957
% 62.43/62.85 Deletedinuse: 14
% 62.43/62.85
% 62.43/62.85 Resimplifying inuse:
% 62.43/62.85 Done
% 62.43/62.85
% 62.43/62.85 Resimplifying inuse:
% 62.43/62.85 Done
% 62.43/62.85
% 62.43/62.85
% 62.43/62.85 Intermediate Status:
% 62.43/62.85 Generated: 432745
% 62.43/62.85 Kept: 131174
% 62.43/62.85 Inuse: 1928
% 62.43/62.85 Deleted: 2958
% 62.43/62.85 Deletedinuse: 15
% 62.43/62.85
% 62.43/62.85 Resimplifying inuse:
% 62.43/62.85 Done
% 62.43/62.85
% 62.43/62.85 Resimplifying inuse:
% 62.43/62.85 Done
% 62.43/62.85
% 62.43/62.85
% 62.43/62.85 Intermediate Status:
% 62.43/62.85 Generated: 439611
% 62.43/62.85 Kept: 133444
% 111.81/112.22 Inuse: 1943
% 111.81/112.22 Deleted: 2959
% 111.81/112.22 Deletedinuse: 16
% 111.81/112.22
% 111.81/112.22
% 111.81/112.22 Intermediate Status:
% 111.81/112.22 Generated: 449720
% 111.81/112.22 Kept: 137056
% 111.81/112.22 Inuse: 1948
% 111.81/112.22 Deleted: 2959
% 111.81/112.22 Deletedinuse: 16
% 111.81/112.22
% 111.81/112.22 Resimplifying inuse:
% 111.81/112.22 Done
% 111.81/112.22
% 111.81/112.22 Resimplifying inuse:
% 111.81/112.22 Done
% 111.81/112.22
% 111.81/112.22
% 111.81/112.22 Intermediate Status:
% 111.81/112.22 Generated: 456305
% 111.81/112.22 Kept: 139067
% 111.81/112.22 Inuse: 1960
% 111.81/112.22 Deleted: 2959
% 111.81/112.22 Deletedinuse: 16
% 111.81/112.22
% 111.81/112.22 Resimplifying inuse:
% 111.81/112.22 Done
% 111.81/112.22
% 111.81/112.22 Resimplifying inuse:
% 111.81/112.22 Done
% 111.81/112.22
% 111.81/112.22
% 111.81/112.22 Intermediate Status:
% 111.81/112.22 Generated: 470713
% 111.81/112.22 Kept: 142547
% 111.81/112.22 Inuse: 1973
% 111.81/112.22 Deleted: 2959
% 111.81/112.22 Deletedinuse: 16
% 111.81/112.22
% 111.81/112.22 Resimplifying inuse:
% 111.81/112.22 Done
% 111.81/112.22
% 111.81/112.22
% 111.81/112.22 Intermediate Status:
% 111.81/112.22 Generated: 481391
% 111.81/112.22 Kept: 145043
% 111.81/112.22 Inuse: 1978
% 111.81/112.22 Deleted: 2959
% 111.81/112.22 Deletedinuse: 16
% 111.81/112.22
% 111.81/112.22 Resimplifying inuse:
% 111.81/112.22 Done
% 111.81/112.22
% 111.81/112.22 Resimplifying clauses:
% 111.81/112.22 Done
% 111.81/112.22
% 111.81/112.22 Resimplifying inuse:
% 111.81/112.22 Done
% 111.81/112.22
% 111.81/112.22
% 111.81/112.22 Intermediate Status:
% 111.81/112.22 Generated: 489574
% 111.81/112.22 Kept: 147116
% 111.81/112.22 Inuse: 2003
% 111.81/112.22 Deleted: 4405
% 111.81/112.22 Deletedinuse: 16
% 111.81/112.22
% 111.81/112.22 Resimplifying inuse:
% 111.81/112.22 Done
% 111.81/112.22
% 111.81/112.22 Resimplifying inuse:
% 111.81/112.22 Done
% 111.81/112.22
% 111.81/112.22
% 111.81/112.22 Intermediate Status:
% 111.81/112.22 Generated: 498181
% 111.81/112.22 Kept: 149186
% 111.81/112.22 Inuse: 2028
% 111.81/112.22 Deleted: 4405
% 111.81/112.22 Deletedinuse: 16
% 111.81/112.22
% 111.81/112.22 Resimplifying inuse:
% 111.81/112.22 Done
% 111.81/112.22
% 111.81/112.22 Resimplifying inuse:
% 111.81/112.22 Done
% 111.81/112.22
% 111.81/112.22
% 111.81/112.22 Intermediate Status:
% 111.81/112.22 Generated: 508583
% 111.81/112.22 Kept: 151232
% 111.81/112.22 Inuse: 2065
% 111.81/112.22 Deleted: 4405
% 111.81/112.22 Deletedinuse: 16
% 111.81/112.22
% 111.81/112.22 Resimplifying inuse:
% 111.81/112.22 Done
% 111.81/112.22
% 111.81/112.22 Resimplifying inuse:
% 111.81/112.22 Done
% 111.81/112.22
% 111.81/112.22
% 111.81/112.22 Intermediate Status:
% 111.81/112.22 Generated: 517738
% 111.81/112.22 Kept: 153288
% 111.81/112.22 Inuse: 2083
% 111.81/112.22 Deleted: 4406
% 111.81/112.22 Deletedinuse: 17
% 111.81/112.22
% 111.81/112.22 Resimplifying inuse:
% 111.81/112.22 Done
% 111.81/112.22
% 111.81/112.22 Resimplifying inuse:
% 111.81/112.22 Done
% 111.81/112.22
% 111.81/112.22
% 111.81/112.22 Intermediate Status:
% 111.81/112.22 Generated: 527812
% 111.81/112.22 Kept: 155343
% 111.81/112.22 Inuse: 2116
% 111.81/112.22 Deleted: 4406
% 111.81/112.22 Deletedinuse: 17
% 111.81/112.22
% 111.81/112.22 Resimplifying inuse:
% 111.81/112.22 Done
% 111.81/112.22
% 111.81/112.22 Resimplifying inuse:
% 111.81/112.22 Done
% 111.81/112.22
% 111.81/112.22
% 111.81/112.22 Intermediate Status:
% 111.81/112.22 Generated: 537752
% 111.81/112.22 Kept: 157372
% 111.81/112.22 Inuse: 2148
% 111.81/112.22 Deleted: 4406
% 111.81/112.22 Deletedinuse: 17
% 111.81/112.22
% 111.81/112.22 Resimplifying inuse:
% 111.81/112.22 Done
% 111.81/112.22
% 111.81/112.22 Resimplifying inuse:
% 111.81/112.22 Done
% 111.81/112.22
% 111.81/112.22
% 111.81/112.22 Intermediate Status:
% 111.81/112.22 Generated: 547588
% 111.81/112.22 Kept: 159418
% 111.81/112.22 Inuse: 2181
% 111.81/112.22 Deleted: 4406
% 111.81/112.22 Deletedinuse: 17
% 111.81/112.22
% 111.81/112.22 Resimplifying inuse:
% 111.81/112.22 Done
% 111.81/112.22
% 111.81/112.22 Resimplifying inuse:
% 111.81/112.22 Done
% 111.81/112.22
% 111.81/112.22
% 111.81/112.22 Intermediate Status:
% 111.81/112.22 Generated: 556250
% 111.81/112.22 Kept: 161462
% 111.81/112.22 Inuse: 2208
% 111.81/112.22 Deleted: 4406
% 111.81/112.22 Deletedinuse: 17
% 111.81/112.22
% 111.81/112.22 Resimplifying inuse:
% 111.81/112.22 Done
% 111.81/112.22
% 111.81/112.22 Resimplifying inuse:
% 111.81/112.22 Done
% 111.81/112.22
% 111.81/112.22
% 111.81/112.22 Intermediate Status:
% 111.81/112.22 Generated: 565340
% 111.81/112.22 Kept: 163477
% 111.81/112.22 Inuse: 2228
% 111.81/112.22 Deleted: 4407
% 111.81/112.22 Deletedinuse: 17
% 111.81/112.22
% 111.81/112.22 Resimplifying inuse:
% 111.81/112.22 Done
% 111.81/112.22
% 111.81/112.22 Resimplifying clauses:
% 111.81/112.22 Done
% 111.81/112.22
% 111.81/112.22
% 111.81/112.22 Intermediate Status:
% 111.81/112.22 Generated: 572576
% 111.81/112.22 Kept: 165690
% 111.81/112.22 Inuse: 2242
% 111.81/112.22 Deleted: 8224
% 111.81/112.22 Deletedinuse: 17
% 111.81/112.22
% 111.81/112.22 Resimplifying inuse:
% 111.81/112.22 Done
% 111.81/112.22
% 111.81/112.22
% 111.81/112.22 Intermediate Status:
% 111.81/112.22 Generated: 585920
% 111.81/112.22 Kept: 169667
% 111.81/112.22 Inuse: 2252
% 111.81/112.22 Deleted: 8224
% 111.81/112.22 Deletedinuse: 17
% 111.81/112.22
% 111.81/112.22 Resimplifying inuse:
% 111.81/112.22 Done
% 111.81/112.22
% 111.81/112.22 Resimplifying inuse:
% 111.81/112.22 Done
% 111.81/112.22
% 111.81/112.22
% 111.81/112.22 Intermediate Status:
% 111.81/112.22 Generated: 593932
% 111.81/112.22 Kept: 171887
% 111.81/112.22 Inuse: 2272
% 111.81/112.22 Deleted: 8224
% 111.81/112.22 Deletedinuse: 17
% 111.81/112.22
% 111.81/112.22 Resimplifying inuse:
% 111.81/112.22 Done
% 111.81/112.22
% 111.81/112.22 Resimplifying inuse:
% 111.81/112.22 Done
% 111.81/112.22
% 111.81/112.22
% 111.81/112.22 Intermediate Status:
% 111.81/112.22 Generated: 603896
% 111.81/112.22 Kept: 174583
% 111.81/112.22 Inuse: 2283
% 111.81/112.22 Deleted: 8224
% 111.81/112.22 Deletedinuse: 17
% 111.81/112.22
% 111.81/112.22 Resimplifying inuse:
% 111.81/112.22 Done
% 111.81/112.22
% 111.81/112.22
% 111.81/112.22 Intermediate Status:
% 111.81/112.22 Generated: 614808
% 111.81/112.22 Kept: 178496
% 111.81/112.22 Inuse: 2292
% 111.81/112.22 Deleted: 8225
% 111.81/112.22 Deletedinuse: 18
% 111.81/112.22
% 111.81/112.22 Resimplifying inuse:
% 111.81/112.22 Done
% 111.81/112.22
% 111.81/112.22 Resimplifying inuse:
% 111.81/112.22 Done
% 111.81/112.22
% 111.81/112.22
% 111.81/112.22 Intermediate Status:
% 111.81/112.22 Generated: 621651
% 111.81/112.22 Kept: 180502
% 111.81/112.22 Inuse: 2315
% 111.81/112.22 Deleted: 8225
% 111.81/112.22 Deletedinuse: 18
% 111.81/112.22
% 111.81/112.22 Resimplifying inuse:
% 111.81/112.22 Done
% 111.81/112.22
% 111.81/112.22
% 111.81/112.22 Intermediate Status:
% 111.81/112.22 Generated: 626869
% 111.81/112.22 Kept: 182992
% 111.81/112.22 Inuse: 2317
% 111.81/112.22 Deleted: 8225
% 111.81/112.22 Deletedinuse: 18
% 111.81/112.22
% 111.81/112.22 Resimplifying inuse:
% 111.81/112.22 Done
% 111.81/112.22
% 111.81/112.22 Resimplifying inuse:
% 111.81/112.22 Done
% 111.81/112.22
% 111.81/112.22
% 111.81/112.22 Intermediate Status:
% 111.81/112.22 Generated: 640865
% 111.81/112.22 Kept: 187239
% 111.81/112.22 Inuse: 2332
% 111.81/112.22 Deleted: 8225
% 111.81/112.22 Deletedinuse: 18
% 111.81/112.22
% 111.81/112.22 Resimplifying inuse:
% 111.81/112.22 Done
% 111.81/112.22
% 111.81/112.22 Resimplifying clauses:
% 111.81/112.22 Done
% 111.81/112.22
% 111.81/112.22 Resimplifying inuse:
% 111.81/112.22 Done
% 111.81/112.22
% 111.81/112.22
% 111.81/112.22 Intermediate Status:
% 111.81/112.22 Generated: 658708
% 111.81/112.22 Kept: 191450
% 111.81/112.22 Inuse: 2352
% 111.81/112.22 Deleted: 8420
% 111.81/112.22 Deletedinuse: 18
% 111.81/112.22
% 111.81/112.22 Resimplifying inuse:
% 111.81/112.22 Done
% 111.81/112.22
% 111.81/112.22 Resimplifying inuse:
% 111.81/112.22 Done
% 111.81/112.22
% 111.81/112.22
% 111.81/112.22 Intermediate Status:
% 111.81/112.22 Generated: 668323
% 111.81/112.22 Kept: 194421
% 111.81/112.22 Inuse: 2367
% 111.81/112.22 Deleted: 8420
% 111.81/112.22 Deletedinuse: 18
% 111.81/112.22
% 111.81/112.22 Resimplifying inuse:
% 111.81/112.22 Done
% 111.81/112.22
% 111.81/112.22
% 111.81/112.22 Intermediate Status:
% 111.81/112.22 Generated: 676294
% 111.81/112.22 Kept: 197706
% 111.81/112.22 Inuse: 2377
% 111.81/112.22 Deleted: 8420
% 180.69/181.10 Deletedinuse: 18
% 180.69/181.10
% 180.69/181.10 Resimplifying inuse:
% 180.69/181.10 Done
% 180.69/181.10
% 180.69/181.10 Resimplifying inuse:
% 180.69/181.10 Done
% 180.69/181.10
% 180.69/181.10
% 180.69/181.10 Intermediate Status:
% 180.69/181.10 Generated: 682486
% 180.69/181.10 Kept: 199713
% 180.69/181.10 Inuse: 2394
% 180.69/181.10 Deleted: 8420
% 180.69/181.10 Deletedinuse: 18
% 180.69/181.10
% 180.69/181.10 Resimplifying inuse:
% 180.69/181.10 Done
% 180.69/181.10
% 180.69/181.10
% 180.69/181.10 Intermediate Status:
% 180.69/181.10 Generated: 688293
% 180.69/181.10 Kept: 202382
% 180.69/181.10 Inuse: 2397
% 180.69/181.10 Deleted: 8420
% 180.69/181.10 Deletedinuse: 18
% 180.69/181.10
% 180.69/181.10 Resimplifying inuse:
% 180.69/181.10 Done
% 180.69/181.10
% 180.69/181.10 Resimplifying inuse:
% 180.69/181.10 Done
% 180.69/181.10
% 180.69/181.10
% 180.69/181.10 Intermediate Status:
% 180.69/181.10 Generated: 705249
% 180.69/181.10 Kept: 206306
% 180.69/181.10 Inuse: 2412
% 180.69/181.10 Deleted: 8420
% 180.69/181.10 Deletedinuse: 18
% 180.69/181.10
% 180.69/181.10 Resimplifying inuse:
% 180.69/181.10 Done
% 180.69/181.10
% 180.69/181.10 Resimplifying clauses:
% 180.69/181.10 Done
% 180.69/181.10
% 180.69/181.10 Resimplifying inuse:
% 180.69/181.10 Done
% 180.69/181.10
% 180.69/181.10
% 180.69/181.10 Intermediate Status:
% 180.69/181.10 Generated: 715157
% 180.69/181.10 Kept: 210119
% 180.69/181.10 Inuse: 2427
% 180.69/181.10 Deleted: 8711
% 180.69/181.10 Deletedinuse: 18
% 180.69/181.10
% 180.69/181.10 Resimplifying inuse:
% 180.69/181.10 Done
% 180.69/181.10
% 180.69/181.10 Resimplifying inuse:
% 180.69/181.10 Done
% 180.69/181.10
% 180.69/181.10
% 180.69/181.10 Intermediate Status:
% 180.69/181.10 Generated: 726367
% 180.69/181.10 Kept: 213279
% 180.69/181.10 Inuse: 2442
% 180.69/181.10 Deleted: 8712
% 180.69/181.10 Deletedinuse: 19
% 180.69/181.10
% 180.69/181.10 Resimplifying inuse:
% 180.69/181.10 Done
% 180.69/181.10
% 180.69/181.10 Resimplifying inuse:
% 180.69/181.10 Done
% 180.69/181.10
% 180.69/181.10
% 180.69/181.10 Intermediate Status:
% 180.69/181.10 Generated: 734666
% 180.69/181.10 Kept: 215310
% 180.69/181.10 Inuse: 2464
% 180.69/181.10 Deleted: 8713
% 180.69/181.10 Deletedinuse: 20
% 180.69/181.10
% 180.69/181.10 Resimplifying inuse:
% 180.69/181.10 Done
% 180.69/181.10
% 180.69/181.10 Resimplifying inuse:
% 180.69/181.10 Done
% 180.69/181.10
% 180.69/181.10
% 180.69/181.10 Intermediate Status:
% 180.69/181.10 Generated: 741153
% 180.69/181.10 Kept: 217330
% 180.69/181.10 Inuse: 2478
% 180.69/181.10 Deleted: 8713
% 180.69/181.10 Deletedinuse: 20
% 180.69/181.10
% 180.69/181.10 Resimplifying inuse:
% 180.69/181.10 Done
% 180.69/181.10
% 180.69/181.10 Resimplifying inuse:
% 180.69/181.10 Done
% 180.69/181.10
% 180.69/181.10
% 180.69/181.10 Intermediate Status:
% 180.69/181.10 Generated: 749166
% 180.69/181.10 Kept: 219347
% 180.69/181.10 Inuse: 2494
% 180.69/181.10 Deleted: 8713
% 180.69/181.10 Deletedinuse: 20
% 180.69/181.10
% 180.69/181.10 Resimplifying inuse:
% 180.69/181.10 Done
% 180.69/181.10
% 180.69/181.10 Resimplifying inuse:
% 180.69/181.10 Done
% 180.69/181.10
% 180.69/181.10
% 180.69/181.10 Intermediate Status:
% 180.69/181.10 Generated: 778898
% 180.69/181.10 Kept: 226566
% 180.69/181.10 Inuse: 2512
% 180.69/181.10 Deleted: 8713
% 180.69/181.10 Deletedinuse: 20
% 180.69/181.10
% 180.69/181.10 Resimplifying inuse:
% 180.69/181.10 Done
% 180.69/181.10
% 180.69/181.10 Resimplifying clauses:
% 180.69/181.10 Done
% 180.69/181.10
% 180.69/181.10 Resimplifying inuse:
% 180.69/181.10 Done
% 180.69/181.10
% 180.69/181.10
% 180.69/181.10 Intermediate Status:
% 180.69/181.10 Generated: 790327
% 180.69/181.10 Kept: 229014
% 180.69/181.10 Inuse: 2532
% 180.69/181.10 Deleted: 9349
% 180.69/181.10 Deletedinuse: 21
% 180.69/181.10
% 180.69/181.10 Resimplifying inuse:
% 180.69/181.10 Done
% 180.69/181.10
% 180.69/181.10 Resimplifying inuse:
% 180.69/181.10 Done
% 180.69/181.10
% 180.69/181.10
% 180.69/181.10 Intermediate Status:
% 180.69/181.10 Generated: 805893
% 180.69/181.10 Kept: 232274
% 180.69/181.10 Inuse: 2547
% 180.69/181.10 Deleted: 9349
% 180.69/181.10 Deletedinuse: 21
% 180.69/181.10
% 180.69/181.10 Resimplifying inuse:
% 180.69/181.10 Done
% 180.69/181.10
% 180.69/181.10
% 180.69/181.10 Intermediate Status:
% 180.69/181.10 Generated: 816538
% 180.69/181.10 Kept: 234657
% 180.69/181.10 Inuse: 2552
% 180.69/181.10 Deleted: 9349
% 180.69/181.10 Deletedinuse: 21
% 180.69/181.10
% 180.69/181.10 Resimplifying inuse:
% 180.69/181.10 Done
% 180.69/181.10
% 180.69/181.10 Resimplifying inuse:
% 180.69/181.10 Done
% 180.69/181.10
% 180.69/181.10
% 180.69/181.10 Intermediate Status:
% 180.69/181.10 Generated: 831622
% 180.69/181.10 Kept: 238734
% 180.69/181.10 Inuse: 2567
% 180.69/181.10 Deleted: 9349
% 180.69/181.10 Deletedinuse: 21
% 180.69/181.10
% 180.69/181.10 Resimplifying inuse:
% 180.69/181.10 Done
% 180.69/181.10
% 180.69/181.10 Resimplifying inuse:
% 180.69/181.10 Done
% 180.69/181.10
% 180.69/181.10
% 180.69/181.10 Intermediate Status:
% 180.69/181.10 Generated: 844301
% 180.69/181.10 Kept: 240748
% 180.69/181.10 Inuse: 2589
% 180.69/181.10 Deleted: 9351
% 180.69/181.10 Deletedinuse: 23
% 180.69/181.10
% 180.69/181.10 Resimplifying inuse:
% 180.69/181.10 Done
% 180.69/181.10
% 180.69/181.10 Resimplifying inuse:
% 180.69/181.10 Done
% 180.69/181.10
% 180.69/181.10
% 180.69/181.10 Intermediate Status:
% 180.69/181.10 Generated: 854044
% 180.69/181.10 Kept: 242757
% 180.69/181.10 Inuse: 2598
% 180.69/181.10 Deleted: 9351
% 180.69/181.10 Deletedinuse: 23
% 180.69/181.10
% 180.69/181.10 Resimplifying inuse:
% 180.69/181.10 Done
% 180.69/181.10
% 180.69/181.10 Resimplifying inuse:
% 180.69/181.10 Done
% 180.69/181.10
% 180.69/181.10
% 180.69/181.10 Intermediate Status:
% 180.69/181.10 Generated: 861934
% 180.69/181.10 Kept: 244884
% 180.69/181.10 Inuse: 2607
% 180.69/181.10 Deleted: 9351
% 180.69/181.10 Deletedinuse: 23
% 180.69/181.10
% 180.69/181.10 Resimplifying inuse:
% 180.69/181.10 Done
% 180.69/181.10
% 180.69/181.10 Resimplifying inuse:
% 180.69/181.10 Done
% 180.69/181.10
% 180.69/181.10
% 180.69/181.10 Intermediate Status:
% 180.69/181.10 Generated: 872069
% 180.69/181.10 Kept: 247017
% 180.69/181.10 Inuse: 2622
% 180.69/181.10 Deleted: 9351
% 180.69/181.10 Deletedinuse: 23
% 180.69/181.10
% 180.69/181.10 Resimplifying inuse:
% 180.69/181.10 Done
% 180.69/181.10
% 180.69/181.10 Resimplifying clauses:
% 180.69/181.10 Done
% 180.69/181.10
% 180.69/181.10 Resimplifying inuse:
% 180.69/181.10 Done
% 180.69/181.10
% 180.69/181.10
% 180.69/181.10 Intermediate Status:
% 180.69/181.10 Generated: 881613
% 180.69/181.10 Kept: 249040
% 180.69/181.10 Inuse: 2636
% 180.69/181.10 Deleted: 11763
% 180.69/181.10 Deletedinuse: 23
% 180.69/181.10
% 180.69/181.10 Resimplifying inuse:
% 180.69/181.10 Done
% 180.69/181.10
% 180.69/181.10
% 180.69/181.10 Intermediate Status:
% 180.69/181.10 Generated: 891067
% 180.69/181.10 Kept: 252467
% 180.69/181.10 Inuse: 2642
% 180.69/181.10 Deleted: 11763
% 180.69/181.10 Deletedinuse: 23
% 180.69/181.10
% 180.69/181.10 Resimplifying inuse:
% 180.69/181.10 Done
% 180.69/181.10
% 180.69/181.10 Resimplifying inuse:
% 180.69/181.10 Done
% 180.69/181.10
% 180.69/181.10
% 180.69/181.10 Intermediate Status:
% 180.69/181.10 Generated: 900374
% 180.69/181.10 Kept: 254495
% 180.69/181.10 Inuse: 2657
% 180.69/181.10 Deleted: 11763
% 180.69/181.10 Deletedinuse: 23
% 180.69/181.10
% 180.69/181.10 Resimplifying inuse:
% 180.69/181.10 Done
% 180.69/181.10
% 180.69/181.10 Resimplifying inuse:
% 180.69/181.10 Done
% 180.69/181.10
% 180.69/181.10
% 180.69/181.10 Intermediate Status:
% 180.69/181.10 Generated: 909473
% 180.69/181.10 Kept: 256530
% 180.69/181.10 Inuse: 2672
% 180.69/181.10 Deleted: 11763
% 180.69/181.10 Deletedinuse: 23
% 180.69/181.10
% 180.69/181.10 Resimplifying inuse:
% 180.69/181.10 Done
% 180.69/181.10
% 180.69/181.10 Resimplifying inuse:
% 180.69/181.10 Done
% 180.69/181.10
% 180.69/181.10
% 180.69/181.10 Intermediate Status:
% 180.69/181.10 Generated: 929958
% 180.69/181.10 Kept: 261274
% 180.69/181.10 Inuse: 2682
% 180.69/181.10 Deleted: 11763
% 180.69/181.10 Deletedinuse: 23
% 180.69/181.10
% 180.69/181.10 Resimplifying inuse:
% 180.69/181.10 Done
% 180.69/181.10
% 180.69/181.10
% 180.69/181.10 Intermediate Status:
% 180.69/181.10 Generated: 939300
% 180.69/181.10 Kept: 264558
% 180.69/181.10 Inuse: 2687
% 180.69/181.10 Deleted: 11763
% 180.69/181.10 Deletedinuse: 23
% 180.69/181.10
% 180.69/181.10 Resimplifying inuse:
% 180.69/181.10 Done
% 180.69/181.10
% 180.69/181.10 Resimplifying inuse:
% 180.69/181.10 Done
% 180.69/181.10
% 180.69/181.10
% 180.69/181.10 Intermediate Status:
% 180.69/181.10 Generated: 947817
% 232.43/232.89 Kept: 266599
% 232.43/232.89 Inuse: 2700
% 232.43/232.89 Deleted: 11763
% 232.43/232.89 Deletedinuse: 23
% 232.43/232.89
% 232.43/232.89 Resimplifying inuse:
% 232.43/232.89 Done
% 232.43/232.89
% 232.43/232.89 Resimplifying clauses:
% 232.43/232.89 Done
% 232.43/232.89
% 232.43/232.89 Resimplifying inuse:
% 232.43/232.89 Done
% 232.43/232.89
% 232.43/232.89
% 232.43/232.89 Intermediate Status:
% 232.43/232.89 Generated: 956047
% 232.43/232.89 Kept: 268689
% 232.43/232.89 Inuse: 2713
% 232.43/232.89 Deleted: 12019
% 232.43/232.89 Deletedinuse: 23
% 232.43/232.89
% 232.43/232.89 Resimplifying inuse:
% 232.43/232.89 Done
% 232.43/232.89
% 232.43/232.89 Resimplifying inuse:
% 232.43/232.89 Done
% 232.43/232.89
% 232.43/232.89
% 232.43/232.89 Intermediate Status:
% 232.43/232.89 Generated: 964896
% 232.43/232.89 Kept: 270720
% 232.43/232.89 Inuse: 2726
% 232.43/232.89 Deleted: 12019
% 232.43/232.89 Deletedinuse: 23
% 232.43/232.89
% 232.43/232.89 Resimplifying inuse:
% 232.43/232.89 Done
% 232.43/232.89
% 232.43/232.89 Resimplifying inuse:
% 232.43/232.89 Done
% 232.43/232.89
% 232.43/232.89
% 232.43/232.89 Intermediate Status:
% 232.43/232.89 Generated: 974285
% 232.43/232.89 Kept: 272789
% 232.43/232.89 Inuse: 2736
% 232.43/232.89 Deleted: 12019
% 232.43/232.89 Deletedinuse: 23
% 232.43/232.89
% 232.43/232.89 Resimplifying inuse:
% 232.43/232.89 Done
% 232.43/232.89
% 232.43/232.89
% 232.43/232.89 Intermediate Status:
% 232.43/232.89 Generated: 984301
% 232.43/232.89 Kept: 274821
% 232.43/232.89 Inuse: 2747
% 232.43/232.89 Deleted: 12019
% 232.43/232.89 Deletedinuse: 23
% 232.43/232.89
% 232.43/232.89 Resimplifying inuse:
% 232.43/232.89 Done
% 232.43/232.89
% 232.43/232.89 Resimplifying inuse:
% 232.43/232.89 Done
% 232.43/232.89
% 232.43/232.89
% 232.43/232.89 Intermediate Status:
% 232.43/232.89 Generated: 997639
% 232.43/232.89 Kept: 277552
% 232.43/232.89 Inuse: 2762
% 232.43/232.89 Deleted: 12019
% 232.43/232.89 Deletedinuse: 23
% 232.43/232.89
% 232.43/232.89 Resimplifying inuse:
% 232.43/232.89 Done
% 232.43/232.89
% 232.43/232.89 Resimplifying inuse:
% 232.43/232.89 Done
% 232.43/232.89
% 232.43/232.89
% 232.43/232.89 Intermediate Status:
% 232.43/232.89 Generated: 1013614
% 232.43/232.89 Kept: 279582
% 232.43/232.89 Inuse: 2779
% 232.43/232.89 Deleted: 12019
% 232.43/232.89 Deletedinuse: 23
% 232.43/232.89
% 232.43/232.89 Resimplifying inuse:
% 232.43/232.89 Done
% 232.43/232.89
% 232.43/232.89 Resimplifying inuse:
% 232.43/232.89 Done
% 232.43/232.89
% 232.43/232.89
% 232.43/232.89 Intermediate Status:
% 232.43/232.89 Generated: 1023125
% 232.43/232.89 Kept: 281739
% 232.43/232.89 Inuse: 2792
% 232.43/232.89 Deleted: 12020
% 232.43/232.89 Deletedinuse: 24
% 232.43/232.89
% 232.43/232.89 Resimplifying inuse:
% 232.43/232.89 Done
% 232.43/232.89
% 232.43/232.89 Resimplifying inuse:
% 232.43/232.89 Done
% 232.43/232.89
% 232.43/232.89
% 232.43/232.89 Intermediate Status:
% 232.43/232.89 Generated: 1031815
% 232.43/232.89 Kept: 283883
% 232.43/232.89 Inuse: 2802
% 232.43/232.89 Deleted: 12021
% 232.43/232.89 Deletedinuse: 25
% 232.43/232.89
% 232.43/232.89 Resimplifying inuse:
% 232.43/232.89 Done
% 232.43/232.89
% 232.43/232.89 Resimplifying inuse:
% 232.43/232.89 Done
% 232.43/232.89
% 232.43/232.89
% 232.43/232.89 Intermediate Status:
% 232.43/232.89 Generated: 1041589
% 232.43/232.89 Kept: 286112
% 232.43/232.89 Inuse: 2812
% 232.43/232.89 Deleted: 12021
% 232.43/232.89 Deletedinuse: 25
% 232.43/232.89
% 232.43/232.89 Resimplifying inuse:
% 232.43/232.89 Done
% 232.43/232.89
% 232.43/232.89 Resimplifying inuse:
% 232.43/232.89 Done
% 232.43/232.89
% 232.43/232.89 Resimplifying clauses:
% 232.43/232.89 Done
% 232.43/232.89
% 232.43/232.89
% 232.43/232.89 Intermediate Status:
% 232.43/232.89 Generated: 1050330
% 232.43/232.89 Kept: 288187
% 232.43/232.89 Inuse: 2825
% 232.43/232.89 Deleted: 12404
% 232.43/232.89 Deletedinuse: 25
% 232.43/232.89
% 232.43/232.89 Resimplifying inuse:
% 232.43/232.89 Done
% 232.43/232.89
% 232.43/232.89 Resimplifying inuse:
% 232.43/232.89 Done
% 232.43/232.89
% 232.43/232.89
% 232.43/232.89 Intermediate Status:
% 232.43/232.89 Generated: 1058492
% 232.43/232.89 Kept: 290631
% 232.43/232.89 Inuse: 2842
% 232.43/232.89 Deleted: 12405
% 232.43/232.89 Deletedinuse: 26
% 232.43/232.89
% 232.43/232.89 Resimplifying inuse:
% 232.43/232.89 Done
% 232.43/232.89
% 232.43/232.89 Resimplifying inuse:
% 232.43/232.89 Done
% 232.43/232.89
% 232.43/232.89
% 232.43/232.89 Intermediate Status:
% 232.43/232.89 Generated: 1068072
% 232.43/232.89 Kept: 292651
% 232.43/232.89 Inuse: 2861
% 232.43/232.89 Deleted: 12405
% 232.43/232.89 Deletedinuse: 26
% 232.43/232.89
% 232.43/232.89 Resimplifying inuse:
% 232.43/232.89 Done
% 232.43/232.89
% 232.43/232.89
% 232.43/232.89 Intermediate Status:
% 232.43/232.89 Generated: 1088102
% 232.43/232.89 Kept: 295680
% 232.43/232.89 Inuse: 2871
% 232.43/232.89 Deleted: 12405
% 232.43/232.89 Deletedinuse: 26
% 232.43/232.89
% 232.43/232.89 Resimplifying inuse:
% 232.43/232.89 Done
% 232.43/232.89
% 232.43/232.89 Resimplifying inuse:
% 232.43/232.89 Done
% 232.43/232.89
% 232.43/232.89
% 232.43/232.89 Intermediate Status:
% 232.43/232.89 Generated: 1096904
% 232.43/232.89 Kept: 297788
% 232.43/232.89 Inuse: 2887
% 232.43/232.89 Deleted: 12958
% 232.43/232.89 Deletedinuse: 579
% 232.43/232.89
% 232.43/232.89 Resimplifying inuse:
% 232.43/232.89 Done
% 232.43/232.89
% 232.43/232.89 Resimplifying inuse:
% 232.43/232.89 Done
% 232.43/232.89
% 232.43/232.89
% 232.43/232.89 Intermediate Status:
% 232.43/232.89 Generated: 1108150
% 232.43/232.89 Kept: 300201
% 232.43/232.89 Inuse: 2907
% 232.43/232.89 Deleted: 12958
% 232.43/232.89 Deletedinuse: 579
% 232.43/232.89
% 232.43/232.89 Resimplifying inuse:
% 232.43/232.89 Done
% 232.43/232.89
% 232.43/232.89 Resimplifying inuse:
% 232.43/232.89 Done
% 232.43/232.89
% 232.43/232.89
% 232.43/232.89 Intermediate Status:
% 232.43/232.89 Generated: 1117028
% 232.43/232.89 Kept: 302235
% 232.43/232.89 Inuse: 2923
% 232.43/232.89 Deleted: 12958
% 232.43/232.89 Deletedinuse: 579
% 232.43/232.89
% 232.43/232.89 Resimplifying inuse:
% 232.43/232.89 Done
% 232.43/232.89
% 232.43/232.89 Resimplifying inuse:
% 232.43/232.89 Done
% 232.43/232.89
% 232.43/232.89
% 232.43/232.89 Intermediate Status:
% 232.43/232.89 Generated: 1128447
% 232.43/232.89 Kept: 304454
% 232.43/232.89 Inuse: 2942
% 232.43/232.89 Deleted: 12958
% 232.43/232.89 Deletedinuse: 579
% 232.43/232.89
% 232.43/232.89 Resimplifying inuse:
% 232.43/232.89 Done
% 232.43/232.89
% 232.43/232.89 Resimplifying inuse:
% 232.43/232.89 Done
% 232.43/232.89
% 232.43/232.89
% 232.43/232.89 Intermediate Status:
% 232.43/232.89 Generated: 1138911
% 232.43/232.89 Kept: 306755
% 232.43/232.89 Inuse: 2962
% 232.43/232.89 Deleted: 12958
% 232.43/232.89 Deletedinuse: 579
% 232.43/232.89
% 232.43/232.89 Resimplifying inuse:
% 232.43/232.89 Done
% 232.43/232.89
% 232.43/232.89 Resimplifying clauses:
% 232.43/232.89 Done
% 232.43/232.89
% 232.43/232.89 Resimplifying inuse:
% 232.43/232.89 Done
% 232.43/232.89
% 232.43/232.89
% 232.43/232.89 Intermediate Status:
% 232.43/232.89 Generated: 1149366
% 232.43/232.89 Kept: 308794
% 232.43/232.89 Inuse: 2981
% 232.43/232.89 Deleted: 40629
% 232.43/232.89 Deletedinuse: 579
% 232.43/232.89
% 232.43/232.89 Resimplifying inuse:
% 232.43/232.89 Done
% 232.43/232.89
% 232.43/232.89
% 232.43/232.89 Intermediate Status:
% 232.43/232.89 Generated: 1157874
% 232.43/232.89 Kept: 310803
% 232.43/232.89 Inuse: 2996
% 232.43/232.89 Deleted: 40629
% 232.43/232.89 Deletedinuse: 579
% 232.43/232.89
% 232.43/232.89 Resimplifying inuse:
% 232.43/232.89 Done
% 232.43/232.89
% 232.43/232.89 Resimplifying inuse:
% 232.43/232.89 Done
% 232.43/232.89
% 232.43/232.89
% 232.43/232.89 Intermediate Status:
% 232.43/232.89 Generated: 1167602
% 232.43/232.89 Kept: 312824
% 232.43/232.89 Inuse: 3011
% 232.43/232.89 Deleted: 40629
% 232.43/232.89 Deletedinuse: 579
% 232.43/232.89
% 232.43/232.89
% 232.43/232.89 Intermediate Status:
% 232.43/232.89 Generated: 1175677
% 232.43/232.89 Kept: 315420
% 232.43/232.89 Inuse: 3017
% 232.43/232.89 Deleted: 40629
% 232.43/232.89 Deletedinuse: 579
% 232.43/232.89
% 232.43/232.89 Resimplifying inuse:
% 232.43/232.89 Done
% 232.43/232.89
% 232.43/232.89
% 232.43/232.89 Intermediate Status:
% 232.43/232.89 Generated: 1183566
% 232.43/232.89 Kept: 317885
% 232.43/232.89 Inuse: 3022
% 232.43/232.89 Deleted: 40629
% 232.43/232.89 Deletedinuse: 579
% 232.43/232.89
% 232.43/232.89 Resimplifying inuse:
% 232.43/232.89 Done
% 232.43/232.89
% 232.43/232.89 RCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------