TSTP Solution File: SCT042-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SCT042-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n029.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 : Mon Jul 18 21:00:45 EDT 2022
% Result : Unsatisfiable 73.10s 73.51s
% Output : Refutation 73.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SCT042-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12 % Command : bliksem %s
% 0.11/0.33 % Computer : n029.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % DateTime : Fri Jul 1 22:28:39 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.81/1.22 *** allocated 10000 integers for termspace/termends
% 0.81/1.22 *** allocated 10000 integers for clauses
% 0.81/1.22 *** allocated 10000 integers for justifications
% 0.81/1.22 *** allocated 15000 integers for termspace/termends
% 0.81/1.22 Bliksem 1.12
% 0.81/1.22
% 0.81/1.22
% 0.81/1.22 Automatic Strategy Selection
% 0.81/1.22
% 0.81/1.22 Clauses:
% 0.81/1.22 [
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.81/1.22 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.81/1.22 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ) ],
% 0.81/1.22 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( X,
% 0.81/1.22 Y, 'tc_nat' ) ), 'tc_nat' ) ],
% 0.81/1.22 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.81/1.22 X, 'tc_nat' ) ), 'tc_nat' ) ],
% 0.81/1.22 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( X,
% 0.81/1.22 Y, 'tc_nat' ) ), 'tc_nat' ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.81/1.22 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.81/1.22 Z, X ) ) ],
% 0.81/1.22 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.81/1.22 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.81/1.22 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.81/1.22 'tc_nat' ), 'c_Suc'( X ), 'tc_nat' ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.81/1.22 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.81/1.22 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.81/1.22 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.81/1.22 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.81/1.22 'tc_nat' ), Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Y, X
% 0.81/1.22 , 'tc_nat' ), 'tc_nat' ) ) ],
% 0.81/1.22 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.81/1.22 ), 'tc_nat' ) ) ],
% 0.81/1.22 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.81/1.22 ), 'tc_nat' ) ) ],
% 0.81/1.22 [ 'c_HOL_Oord__class_Oless'( 'c_Divides_Odiv__class_Omod'( X, Y,
% 0.81/1.22 'tc_nat' ), Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.81/1.22 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.81/1.22 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.81/1.22 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.81/1.22 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.81/1.22 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.81/1.22 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.81/1.22 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.81/1.22 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.81/1.22 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.81/1.22 'c_Suc'( X ), 'tc_nat' ) ],
% 0.81/1.22 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.81/1.22 'c_Suc'( X ), 'tc_nat' ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.81/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.81/1.22 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.81/1.22 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.81/1.22 , Y, X ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.81/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.81/1.22 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.81/1.22 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.81/1.22 'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.81/1.22 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.81/1.22 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.81/1.22 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.81/1.22 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Orderings_Oord__class_Omin'( Z
% 0.81/1.22 , T, X ), X ) ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.81/1.22 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Orderings_Oord__class_Omin'( T
% 0.81/1.22 , Z, X ), X ) ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.81/1.22 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.81/1.22 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.81/1.22 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), =( 'c_Suc'( X
% 0.81/1.22 ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.81/1.22 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.81/1.22 X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.81/1.22 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ],
% 0.81/1.22 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 0.81/1.22 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.81/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.81/1.22 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.81/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.81/1.22 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.81/1.22 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.81/1.22 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.81/1.22 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.81/1.22 'tc_nat' ) ) ],
% 0.81/1.22 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.81/1.22 'tc_nat' ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.81/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.81/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.81/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.81/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.81/1.22 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.81/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.81/1.22 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.81/1.22 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.81/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.81/1.22 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.81/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.81/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.81/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.81/1.22 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.81/1.22 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.81/1.22 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.81/1.22 Z, T, X ), X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.81/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.81/1.22 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ), X ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.81/1.22 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'( Y
% 0.81/1.22 ), 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.81/1.22 [ =( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ), X ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.81/1.22 'tc_nat' ) ) ],
% 0.81/1.22 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.81/1.22 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ), 'tc_nat' ), =( X,
% 0.81/1.22 'c_List_Olist_ONil'( Y ) ) ],
% 0.81/1.22 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.81/1.22 'c_Nat_Osize__class_Osize'( 'c_List_Olist_ONil'( X ), 'tc_List_Olist'( X
% 0.81/1.22 ) ), 'tc_nat' ) ) ],
% 0.81/1.22 [ =( 'c_List_Olist__update'( 'c_List_Oappend'( X, Y, Z ), T, U, Z ),
% 0.81/1.22 'c_List_Oappend'( 'c_List_Olist__update'( X, T, U, Z ), Y, Z ) ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( T, 'c_Nat_Osize__class_Osize'( X,
% 0.81/1.22 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ],
% 0.81/1.22 [ =( 'c_List_Olist__update'( 'c_List_Oappend'( X, Y, Z ), T, U, Z ),
% 0.81/1.22 'c_List_Oappend'( 'c_List_Olist__update'( X, T, U, Z ), Y, Z ) ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( T, 'c_Nat_Osize__class_Osize'( X,
% 0.81/1.22 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ],
% 0.81/1.22 [ =( 'c_List_Otake'( X, 'c_List_Obutlast'( Y, Z ), Z ), 'c_List_Otake'(
% 0.81/1.22 X, Y, Z ) ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Nat_Osize__class_Osize'(
% 0.81/1.22 Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ],
% 0.81/1.22 [ =( 'c_List_Olast'( 'c_List_Odrop'( X, Y, Z ), Z ), 'c_List_Olast'( Y,
% 0.81/1.22 Z ) ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Nat_Osize__class_Osize'( Y,
% 0.81/1.22 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ],
% 0.81/1.22 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.81/1.22 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) )
% 0.81/1.22 ],
% 0.81/1.22 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.81/1.22 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) )
% 0.81/1.22 ],
% 0.81/1.22 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ),
% 0.81/1.22 Y, 'tc_nat' ) ) ],
% 0.81/1.22 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.81/1.22 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) )
% 0.81/1.22 ],
% 0.81/1.22 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.81/1.22 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) )
% 0.81/1.22 ],
% 0.81/1.22 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ) ) ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'(
% 0.81/1.22 X, T, 'tc_nat' ) ],
% 0.81/1.22 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.81/1.22 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.81/1.22 ~( 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' ) ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ) ],
% 0.81/1.22 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.81/1.22 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.81/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.81/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.81/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.81/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.81/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.81/1.22 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.81/1.22 , X ), 'c_HOL_Oord__class_Oless'( T, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.81/1.22 'c_Orderings_Oord__class_Omin'( T, Y, X ), Z, X ) ) ],
% 0.81/1.22 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.81/1.22 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) )
% 0.81/1.22 , 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 0.81/1.22 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 0.81/1.22 , 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 0.81/1.22 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.81/1.22 'tc_nat' ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' )
% 0.81/1.22 ) ],
% 0.81/1.22 [ =( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ), X ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.81/1.22 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.81/1.22 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.81/1.22 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.81/1.22 , X ) ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.81/1.22 , Y, X ) ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.81/1.22 , Y, X ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.81/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.81/1.22 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.81/1.22 ), =( Z, Y ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.81/1.22 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.81/1.22 ) ],
% 0.81/1.22 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.81/1.22 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.81/1.22 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.81/1.22 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.81/1.22 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.81/1.22 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.81/1.22 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.81/1.22 ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.81/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.81/1.22 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.81/1.22 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 0.81/1.22 ), 'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ), 'tc_nat' ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( Y, T, 'tc_nat' ) ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.81/1.22 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.81/1.22 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.81/1.22 , X ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.81/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.81/1.22 , X ) ) ],
% 0.81/1.22 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.81/1.22 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 0.81/1.22 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.81/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 0.81/1.22 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.81/1.22 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.81/1.22 Y, T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X
% 0.81/1.22 ), Y, X ) ), =( Z, T ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 0.81/1.22 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.81/1.22 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.81/1.22 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 0.81/1.22 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 0.81/1.22 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.81/1.22 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 0.81/1.22 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 0.81/1.22 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ],
% 0.81/1.22 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.81/1.22 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.81/1.22 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.81/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.81/1.22 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.81/1.22 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.81/1.22 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.81/1.22 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.81/1.22 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 0.81/1.22 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.81/1.22 X ), T, X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.81/1.22 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.81/1.22 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.81/1.22 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.81/1.22 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 0.81/1.22 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.81/1.22 X ), T, X ) ) ],
% 0.81/1.22 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.81/1.22 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.81/1.22 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.81/1.22 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.81/1.22 [ =( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ),
% 0.81/1.22 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.81/1.22 'tc_nat' ), Y, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' )
% 0.81/1.22 ],
% 0.81/1.22 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 0.81/1.22 ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 0.81/1.22 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.81/1.22 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.81/1.22 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.81/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.81/1.22 Y, T, X ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.81/1.22 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.81/1.22 Y, T, X ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.81/1.22 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.81/1.22 X ), X ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.81/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.81/1.22 Z, T, X ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.81/1.22 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.81/1.22 Z, T, X ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.81/1.22 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.81/1.22 X ), X ) ) ],
% 0.81/1.22 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 0.81/1.22 ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 0.81/1.22 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Z, X, 'tc_nat' ),
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.81/1.22 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 0.81/1.22 ), 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.81/1.22 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.81/1.22 ) ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.81/1.22 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.81/1.22 ) ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.81/1.22 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.81/1.22 , X ) ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.81/1.22 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.81/1.22 , X ) ) ],
% 0.81/1.22 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.81/1.22 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.81/1.22 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.81/1.22 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ) ],
% 0.81/1.22 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 0.81/1.22 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 0.81/1.22 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.81/1.22 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 0.81/1.22 'tc_nat' ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.81/1.22 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.81/1.22 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.81/1.22 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.81/1.22 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.81/1.22 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ominus__class_Ominus'( Y, X,
% 0.81/1.22 'tc_nat' ), 'tc_nat' ), Y ), 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' )
% 0.81/1.22 ],
% 0.81/1.22 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.81/1.22 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.81/1.22 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.81/1.22 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.81/1.22 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.81/1.22 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.81/1.22 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.81/1.22 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.81/1.22 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.81/1.22 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.81/1.22 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.81/1.22 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.81/1.22 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.81/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.81/1.22 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.81/1.22 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.81/1.22 T, Z, X ) ) ), =( Y, T ), ~( 'c_HOL_Oord__class_Oless'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ), ~(
% 0.81/1.22 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.81/1.22 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.81/1.22 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z
% 0.81/1.22 ), X ), 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.81/1.22 Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.81/1.22 [ =( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oone__class_Oone'(
% 0.81/1.22 'tc_nat' ), 'tc_nat' ) ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.81/1.22 [ =( X, 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.81/1.22 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.81/1.22 'tc_nat' ) ) ],
% 0.81/1.22 [ =( 'c_List_Olist__update'( 'c_List_Oappend'( X, Y, Z ), T, U, Z ),
% 0.81/1.22 'c_List_Oappend'( X, 'c_List_Olist__update'( Y,
% 0.81/1.22 'c_HOL_Ominus__class_Ominus'( T, 'c_Nat_Osize__class_Osize'( X,
% 0.81/1.22 'tc_List_Olist'( Z ) ), 'tc_nat' ), U, Z ), Z ) ),
% 0.81/1.22 'c_HOL_Oord__class_Oless'( T, 'c_Nat_Osize__class_Osize'( X,
% 0.81/1.22 'tc_List_Olist'( Z ) ), 'tc_nat' ) ],
% 0.81/1.22 [ =( 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), 'c_Suc'(
% 0.81/1.22 'c_HOL_Ominus__class_Ominus'( 'c_Int_Onumber__class_Onumber__of'( X,
% 0.81/1.22 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.81/1.22 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.81/1.22 [ =( 'c_List_Orev'( 'c_List_Olist__update'( X, Y, Z, T ), T ),
% 0.81/1.22 'c_List_Olist__update'( 'c_List_Orev'( X, T ),
% 0.81/1.22 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'(
% 0.81/1.22 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( T ) ), Y, 'tc_nat' ),
% 0.81/1.22 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), Z, T ) ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_Nat_Osize__class_Osize'( X,
% 0.81/1.22 'tc_List_Olist'( T ) ), 'tc_nat' ) ) ],
% 0.81/1.22 [ =( 'c_Orderings_Oord__class_Omin'( 'c_HOL_Ozero__class_Ozero'(
% 0.81/1.22 'tc_nat' ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.81/1.22 'c_lessequals'( Y, 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ) ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.81/1.22 'c_lessequals'( Y, 'c_Orderings_Oord__class_Omin'( T, Z, X ), X ) ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.81/1.22 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y,
% 0.81/1.22 T, X ) ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.81/1.22 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 0.81/1.22 T, X ) ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.81/1.22 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y,
% 0.81/1.22 T, X ) ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.81/1.22 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 0.81/1.22 T, X ) ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.81/1.22 'c_lessequals'( Y, 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ) ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.81/1.22 'c_lessequals'( Y, 'c_Orderings_Oord__class_Omin'( T, Z, X ), X ) ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.81/1.22 'tc_nat' ), 'tc_nat' ), X ) ],
% 0.81/1.22 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_nat' ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.81/1.22 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.81/1.22 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.81/1.22 ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.81/1.22 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.81/1.22 ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.81/1.22 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.81/1.22 ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.81/1.22 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.81/1.22 ) ],
% 0.81/1.22 [ ~( =( X, 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.81/1.22 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), X ) ), =( Y,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.81/1.22 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22 [ =( 'c_List_Orotate'( X, Y, Z ), 'c_List_Orotate'(
% 0.81/1.22 'c_Divides_Odiv__class_Omod'( X, 'c_Nat_Osize__class_Osize'( Y,
% 0.81/1.22 'tc_List_Olist'( Z ) ), 'tc_nat' ), Y, Z ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.81/1.22 X ) ) ],
% 0.81/1.22 [ =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.81/1.22 X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.81/1.22 X ) ) ],
% 0.81/1.22 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.81/1.22 'c_Divides_Odiv__class_Omod'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.81/1.22 ) ],
% 0.81/1.22 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.81/1.22 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.81/1.22 ) ],
% 0.81/1.22 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ),
% 0.81/1.22 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), X ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.81/1.22 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 0.81/1.22 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.81/1.22 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.81/1.22 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.81/1.22 [ ~( =( 'c_List_Oremdups'( X, Y ), X ) ), =( 'c_Nat_Osize__class_Osize'(
% 0.81/1.22 'c_List_Oremdups'( X, Y ), 'tc_List_Olist'( Y ) ),
% 0.81/1.22 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ) ) ],
% 0.81/1.22 [ ~( =( 'c_Nat_Osize__class_Osize'( 'c_List_Oremdups'( X, Y ),
% 0.81/1.22 'tc_List_Olist'( Y ) ), 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y
% 0.81/1.22 ) ) ) ), =( 'c_List_Oremdups'( X, Y ), X ) ],
% 0.81/1.22 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.81/1.22 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.81/1.22 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ) ],
% 0.81/1.22 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_Suc'( Y ), 'tc_nat' ), 'c_Suc'(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.81/1.22 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), 'c_Suc'( Y ), X ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.81/1.22 'c_HOL_Oone__class_Oone'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X )
% 0.81/1.22 , X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.81/1.22 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Y, X ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.81/1.22 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Z, X ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.81/1.22 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 0.81/1.22 X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.81/1.22 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 0.81/1.22 X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.81/1.22 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 0.81/1.22 X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.81/1.22 [ =( 'c_List_Oappend'( 'c_List_Otake'( X, Y, Z ), 'c_List_Olist_OCons'(
% 0.81/1.22 'c_List_Ohd'( 'c_List_Odrop'( X, Y, Z ), Z ), 'c_List_Olist_ONil'( Z ), Z
% 0.81/1.22 ), Z ), 'c_List_Otake'( 'c_Suc'( X ), Y, Z ) ), ~(
% 0.81/1.22 'c_HOL_Oord__class_Oless'( X, 'c_Nat_Osize__class_Osize'( Y,
% 0.81/1.22 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ],
% 0.81/1.22 [ =( 'c_List_Olist__update'( X, Y, Z, T ), 'c_List_Oappend'(
% 0.81/1.22 'c_List_Otake'( Y, X, T ), 'c_List_Olist_OCons'( Z, 'c_List_Odrop'(
% 0.81/1.22 'c_Suc'( Y ), X, T ), T ), T ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.81/1.22 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( T ) ), 'tc_nat' ) ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ =( 'c_Orderings_Oord__class_Omin'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.81/1.22 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.81/1.22 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.81/1.22 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.81/1.22 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.81/1.22 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.81/1.22 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.81/1.22 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.81/1.22 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.81/1.22 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.81/1.22 X ), Y ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.81/1.22 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.81/1.22 X ), Y ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.81/1.22 'c_lessequals'( T, Z, X ), ~( 'c_lessequals'(
% 0.81/1.22 'c_Orderings_Oord__class_Omin'( T, Y, X ), Z, X ) ) ],
% 0.81/1.22 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.81/1.22 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.81/1.22 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.81/1.22 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.81/1.22 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( U, Y, X ), Z, X
% 0.81/1.22 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( W, T, X ),
% 0.81/1.22 Z, X ) ) ],
% 0.81/1.22 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y, 'c_Suc'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.81/1.22 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( X,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.81/1.22 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat'
% 0.81/1.22 ), 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ) ],
% 0.81/1.22 [ =( 'c_Divides_Odiv__class_Omod'( X, 'c_Suc'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.81/1.22 [ =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.81/1.22 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), Y, 'tc_nat' ) ) ), =( X
% 0.81/1.22 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.81/1.22 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Otake'( X, Y, Z ),
% 0.81/1.22 'tc_List_Olist'( Z ) ), 'c_Orderings_Oord__class_Omin'(
% 0.81/1.22 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), X, 'tc_nat' ) ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Orotate'( X, Y, Z ),
% 0.81/1.22 'tc_List_Olist'( Z ) ), 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z
% 0.81/1.22 ) ) ) ],
% 0.81/1.22 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.81/1.22 ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.81/1.22 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Orotate1'( X, Y ),
% 0.81/1.22 'tc_List_Olist'( Y ) ), 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y
% 0.81/1.22 ) ) ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.81/1.22 'c_Orderings_Oord__class_Omin'( Y, Y, X ), Y ) ],
% 0.81/1.22 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Oappend'( X, Y, Z ),
% 0.81/1.22 'tc_List_Olist'( Z ) ), 'c_HOL_Oplus__class_Oplus'(
% 0.81/1.22 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Z ) ),
% 0.81/1.22 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Odrop'( X, Y, Z ),
% 0.81/1.22 'tc_List_Olist'( Z ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.81/1.22 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), X, 'tc_nat' ) ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =(
% 0.81/1.22 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, X ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.81/1.22 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.81/1.22 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.81/1.22 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.81/1.22 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 0.81/1.22 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.81/1.22 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.81/1.22 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.81/1.22 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.81/1.22 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( W, T,
% 0.81/1.22 X ), Z, X ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.81/1.22 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.81/1.22 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.81/1.22 , X ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.81/1.22 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Osplice'( X, Y, Z ),
% 0.81/1.22 'tc_List_Olist'( Z ) ), 'c_HOL_Oplus__class_Oplus'(
% 0.81/1.22 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Z ) ),
% 0.81/1.22 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.81/1.22 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.81/1.22 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.81/1.22 ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.81/1.22 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.81/1.22 X ), X ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.81/1.22 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.81/1.22 ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.81/1.22 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.81/1.22 X ), X ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.81/1.22 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.81/1.22 ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.81/1.22 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.81/1.22 ) ],
% 0.81/1.22 [ =( 'c_List_Odrop'( X, 'c_List_Odrop'( Y, Z, T ), T ), 'c_List_Odrop'(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), Z, T ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.81/1.22 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.81/1.22 ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( T ), X ),
% 0.81/1.22 'c_Power_Opower__class_Opower'( Z, 'c_Suc'( T ), X ), X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 0.81/1.22 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.81/1.22 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.81/1.22 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.81/1.22 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.81/1.22 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.81/1.22 ) ) ],
% 0.81/1.22 [ =( 'c_List_Otake'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.81/1.22 'c_List_Oappend'( 'c_List_Otake'( X, Y, T ), 'c_List_Otake'(
% 0.81/1.22 'c_HOL_Ominus__class_Ominus'( X, 'c_Nat_Osize__class_Osize'( Y,
% 0.81/1.22 'tc_List_Olist'( T ) ), 'tc_nat' ), Z, T ), T ) ) ],
% 0.81/1.22 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Obutlast'( X, Y ),
% 0.81/1.22 'tc_List_Olist'( Y ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.81/1.22 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ),
% 0.81/1.22 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.81/1.22 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.81/1.22 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.81/1.22 ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.81/1.22 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.81/1.22 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 0.81/1.22 ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ) ) ],
% 0.81/1.22 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Oreplicate'( X, Y, Z ),
% 0.81/1.22 'tc_List_Olist'( Z ) ), X ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.81/1.22 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.81/1.22 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.81/1.22 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.81/1.22 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 0.81/1.22 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 0.81/1.22 [ =( 'c_Divides_Odiv__class_Omod'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 0.81/1.22 'c_Divides_Odiv__class_Omod'( 'c_Suc'( 'c_Divides_Odiv__class_Omod'( X, Y
% 0.81/1.22 , 'tc_nat' ) ), Y, 'tc_nat' ) ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.81/1.22 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.81/1.22 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.81/1.22 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.81/1.22 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 0.81/1.22 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 0.81/1.22 [ =( 'c_Orderings_Oord__class_Omin'( 'c_HOL_Ominus__class_Ominus'( X, Y
% 0.81/1.22 , 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' )
% 0.81/1.22 , 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Oord__class_Omin'( X, Z,
% 0.81/1.22 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.81/1.22 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.81/1.22 , 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), 'c_Suc'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.81/1.22 [ ~( 'class_Int_Onumber'( X ) ), ~( 'class_HOL_Oord'( X ) ), =(
% 0.81/1.22 'c_Orderings_Oord__class_Omin'( 'c_Int_Onumber__class_Onumber__of'( Y, X
% 0.81/1.22 ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 0.81/1.22 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), 'c_lessequals'(
% 0.81/1.22 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.81/1.22 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 0.81/1.22 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Otl'( X, Y ), 'tc_List_Olist'(
% 0.81/1.22 Y ) ), 'c_HOL_Ominus__class_Ominus'( 'c_Nat_Osize__class_Osize'( X,
% 0.81/1.22 'tc_List_Olist'( Y ) ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' )
% 0.81/1.22 ) ],
% 0.81/1.22 [ =( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ), 'c_Suc'(
% 0.81/1.22 'c_Nat_Osize__class_Osize'( 'c_List_Otl'( X, Y ), 'tc_List_Olist'( Y ) )
% 0.81/1.22 ) ), =( X, 'c_List_Olist_ONil'( Y ) ) ],
% 0.81/1.22 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Orev'( X, Y ), 'tc_List_Olist'(
% 0.81/1.22 Y ) ), 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.81/1.22 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.81/1.22 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.81/1.22 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.81/1.22 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.81/1.22 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.81/1.22 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 0.81/1.22 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.81/1.22 ) ) ],
% 0.81/1.22 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.81/1.22 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.81/1.22 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ),
% 0.81/1.22 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.81/1.22 ) ) ],
% 0.81/1.22 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.81/1.22 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.81/1.22 'c_lessequals'( Z, Y, X ) ],
% 0.81/1.22 [ =( 'c_List_Orev'( 'c_List_Odrop'( X, Y, Z ), Z ), 'c_List_Otake'(
% 0.81/1.22 'c_HOL_Ominus__class_Ominus'( 'c_Nat_Osize__class_Osize'( Y,
% 0.81/1.22 'tc_List_Olist'( Z ) ), X, 'tc_nat' ), 'c_List_Orev'( Y, Z ), Z ) ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ =( 'c_List_Orev'( 'c_List_Otake'( X, Y, Z ), Z ), 'c_List_Odrop'(
% 0.81/1.22 'c_HOL_Ominus__class_Ominus'( 'c_Nat_Osize__class_Osize'( Y,
% 0.81/1.22 'tc_List_Olist'( Z ) ), X, 'tc_nat' ), 'c_List_Orev'( Y, Z ), Z ) ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ =( 'c_List_Obutlast'( X, Y ), 'c_List_Otake'(
% 0.81/1.22 'c_HOL_Ominus__class_Ominus'( 'c_Nat_Osize__class_Osize'( X,
% 0.81/1.22 'tc_List_Olist'( Y ) ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' )
% 0.81/1.22 , X, Y ) ) ],
% 0.81/1.22 [ =( 'c_List_Obutlast'( 'c_List_Olist__update'( X,
% 0.81/1.22 'c_HOL_Ominus__class_Ominus'( 'c_Nat_Osize__class_Osize'( X,
% 0.81/1.22 'tc_List_Olist'( Y ) ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' )
% 0.81/1.22 , Z, Y ), Y ), 'c_List_Obutlast'( X, Y ) ) ],
% 0.81/1.22 [ =( 'c_List_Obutlast'( 'c_List_Olist__update'( X, Y, Z, T ), T ),
% 0.81/1.22 'c_List_Olist__update'( 'c_List_Obutlast'( X, T ), Y, Z, T ) ), =( Y,
% 0.81/1.22 'c_HOL_Ominus__class_Ominus'( 'c_Nat_Osize__class_Osize'( X,
% 0.81/1.22 'tc_List_Olist'( T ) ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' )
% 0.81/1.22 ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.81/1.22 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.81/1.22 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.81/1.22 ), ~( =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.81/1.22 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.81/1.22 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.81/1.22 ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.81/1.22 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.81/1.22 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.81/1.22 ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.81/1.22 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.81/1.22 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.81/1.22 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.81/1.22 X ), X ) ) ],
% 0.81/1.22 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( X
% 0.81/1.22 ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.81/1.22 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.81/1.22 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.81/1.22 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Olist_ONil'( X ),
% 0.81/1.22 'tc_List_Olist'( X ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.81/1.22 [ ~( =( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_List_Olist_ONil'( Y
% 0.81/1.22 ) ) ],
% 0.81/1.22 [ =( 'c_List_Ohd'( 'c_List_Oappend'( X, Y, Z ), Z ), 'c_List_Ohd'( X, Z
% 0.81/1.22 ) ), =( X, 'c_List_Olist_ONil'( Z ) ) ],
% 0.81/1.22 [ =( 'c_List_Ohd'( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), Y, X ), X
% 0.81/1.22 ), 'c_List_Ohd'( Y, X ) ) ],
% 0.81/1.22 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'c_Suc'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.81/1.22 [ =( 'c_List_Otake'( 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ),
% 0.81/1.22 'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_List_Olist_OCons'( Y,
% 0.81/1.22 'c_List_Otake'( 'c_HOL_Ominus__class_Ominus'(
% 0.81/1.22 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ),
% 0.81/1.22 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), Z, T ), T ) ), =(
% 0.81/1.22 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.81/1.22 [ =( 'c_List_Odrop'( 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ),
% 0.81/1.22 'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_List_Odrop'(
% 0.81/1.22 'c_HOL_Ominus__class_Ominus'( 'c_Int_Onumber__class_Onumber__of'( X,
% 0.81/1.22 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), Z, T ) ),
% 0.81/1.22 =( 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.81/1.22 [ =( 'c_List_Otake'( 'c_Suc'( X ), 'c_List_Olist_OCons'( Y, Z, T ), T )
% 0.81/1.22 , 'c_List_Olist_OCons'( Y, 'c_List_Otake'( X, Z, T ), T ) ) ],
% 0.81/1.22 [ =( 'c_List_Odrop'( 'c_Suc'( X ), 'c_List_Olist_OCons'( Y, Z, T ), T )
% 0.81/1.22 , 'c_List_Odrop'( X, Z, T ) ) ],
% 0.81/1.22 [ =( X, 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'(
% 0.81/1.22 Y ) ), 'c_List_Oappend'( X, Z, Y ), Y ) ) ],
% 0.81/1.22 [ =( X, 'c_List_Odrop'( 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'(
% 0.81/1.22 Z ) ), 'c_List_Oappend'( Y, X, Z ), Z ) ) ],
% 0.81/1.22 [ =( 'c_List_Ohd'( 'c_List_Oreplicate'( X, Y, Z ), Z ), Y ), =( X,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.81/1.22 [ =( 'c_List_Olist__update'( 'c_List_Olist_OCons'( X, Y, Z ), 'c_Suc'( T
% 0.81/1.22 ), U, Z ), 'c_List_Olist_OCons'( X, 'c_List_Olist__update'( Y, T, U, Z )
% 0.81/1.22 , Z ) ) ],
% 0.81/1.22 [ =( 'c_List_Oreplicate'( 'c_Suc'( X ), Y, Z ), 'c_List_Olist_OCons'( Y
% 0.81/1.22 , 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.81/1.22 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), =(
% 0.81/1.22 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Oord__class_Omin'( Y, Z, X ),
% 0.81/1.22 T, X ), 'c_Orderings_Oord__class_Omin'( 'c_HOL_Ominus__class_Ominus'( Y,
% 0.81/1.22 T, X ), 'c_HOL_Ominus__class_Ominus'( Z, T, X ), X ) ) ],
% 0.81/1.22 [ =( 'c_List_Odrop'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.81/1.22 'c_List_Oappend'( 'c_List_Odrop'( X, Y, T ), 'c_List_Odrop'(
% 0.81/1.22 'c_HOL_Ominus__class_Ominus'( X, 'c_Nat_Osize__class_Osize'( Y,
% 0.81/1.22 'tc_List_Olist'( T ) ), 'tc_nat' ), Z, T ), T ) ) ],
% 0.81/1.22 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Olist_OCons'( X, Y, Z ),
% 0.81/1.22 'tc_List_Olist'( Z ) ), 'c_HOL_Oplus__class_Oplus'(
% 0.81/1.22 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), 'c_Suc'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.81/1.22 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 0.81/1.22 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), 'c_Suc'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.81/1.22 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.81/1.22 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 0.81/1.22 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.81/1.22 [ =( 'c_Suc'( X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'(
% 0.81/1.22 'tc_nat' ), X, 'tc_nat' ) ) ],
% 0.81/1.22 [ =( 'c_Suc'( X ), 'c_HOL_Oplus__class_Oplus'( X,
% 0.81/1.22 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.81/1.22 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.81/1.22 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.81/1.22 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.81/1.22 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.81/1.22 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.81/1.22 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omin'( Y, Z,
% 0.81/1.22 X ), X ), 'c_Orderings_Oord__class_Omin'( Y, Z, X ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 0.81/1.22 ), Y ) ],
% 0.81/1.22 [ =( 'c_Suc'( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ) ),
% 0.81/1.22 'c_Nat_Osize__class_Osize'( 'c_List_Olist_OCons'( Z, X, Y ),
% 0.81/1.22 'tc_List_Olist'( Y ) ) ) ],
% 0.81/1.22 [ =( 'c_List_Otake'( X, 'c_List_Otake'( Y, Z, T ), T ), 'c_List_Otake'(
% 0.81/1.22 'c_Orderings_Oord__class_Omin'( X, Y, 'tc_nat' ), Z, T ) ) ],
% 0.81/1.22 [ =( 'c_Divides_Odiv__class_Omod'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'(
% 0.81/1.22 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ) ), =( 'c_Suc'(
% 0.81/1.22 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ), Y ) ],
% 0.81/1.22 [ =( 'c_List_Orotate'( X, 'c_List_Orev'( Y, Z ), Z ), 'c_List_Orev'(
% 0.81/1.22 'c_List_Orotate'( 'c_HOL_Ominus__class_Ominus'(
% 0.81/1.22 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ),
% 0.81/1.22 'c_Divides_Odiv__class_Omod'( X, 'c_Nat_Osize__class_Osize'( Y,
% 0.81/1.22 'tc_List_Olist'( Z ) ), 'tc_nat' ), 'tc_nat' ), Y, Z ), Z ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.81/1.22 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.81/1.22 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.81/1.22 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Olist_OCons'( X, Y, Z ),
% 0.81/1.22 'tc_List_Olist'( Z ) ), 'c_Suc'( 'c_Nat_Osize__class_Osize'( Y,
% 0.81/1.22 'tc_List_Olist'( Z ) ) ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.81/1.22 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 0.81/1.22 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.81/1.22 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.81/1.22 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.81/1.22 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.81/1.22 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.81/1.22 , T, X ), X ), T, X ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.81/1.22 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.81/1.22 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.81/1.22 ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.81/1.22 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.81/1.22 ) ) ],
% 0.81/1.22 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.81/1.22 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.81/1.22 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.81/1.22 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X,
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.81/1.22 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.81/1.22 ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.81/1.22 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.81/1.22 ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.81/1.22 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.81/1.22 ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.81/1.22 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.81/1.22 ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.81/1.22 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.81/1.22 ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.81/1.22 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.81/1.22 ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.81/1.22 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.81/1.22 ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.81/1.22 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 0.81/1.22 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.81/1.22 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.81/1.22 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 0.81/1.22 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.81/1.22 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.81/1.22 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.81/1.22 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y,
% 0.81/1.22 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.81/1.22 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.81/1.22 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.81/1.22 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Y ), ~( 'c_lessequals'( Y, Z,
% 0.81/1.22 X ) ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.81/1.22 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Y ) ), 'c_lessequals'( Y, Z, X
% 0.81/1.22 ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.81/1.22 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Z ), ~( 'c_lessequals'( Z, Y,
% 0.81/1.22 X ) ) ],
% 0.81/1.22 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.81/1.22 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.81/1.22 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.81/1.22 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.81/1.22 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.81/1.22 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.81/1.22 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.81/1.22 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.81/1.22 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omin'( Y, Z, X )
% 0.81/1.22 , T, X ), 'c_Orderings_Oord__class_Omin'( Y,
% 0.81/1.22 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ) ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.81/1.22 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omin'( Z, T,
% 0.81/1.22 X ), X ), 'c_Orderings_Oord__class_Omin'( Z,
% 0.81/1.22 'c_Orderings_Oord__class_Omin'( Y, T, X ), X ) ) ],
% 0.81/1.22 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.81/1.22 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ) ],
% 0.81/1.22 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.81/1.22 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.81/1.22 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.81/1.22 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X,
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.81/1.22 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.81/1.22 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.81/1.22 ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.81/1.22 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.81/1.22 , T, X ) ) ), =( Y, Z ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.81/1.22 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.81/1.22 , T, X ) ) ), =( Z, T ) ],
% 0.81/1.22 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y, 'c_Suc'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.81/1.22 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( X,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.81/1.22 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 0.81/1.22 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 0.81/1.22 ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.81/1.22 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ],
% 0.81/1.22 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.81/1.22 ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.81/1.22 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.81/1.22 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 0.81/1.22 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ) ) ],
% 0.81/1.22 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.81/1.22 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 0.81/1.22 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.81/1.22 'c_Orderings_Oord__class_Omin'( Y, Z, X ), 'c_Orderings_Oord__class_Omin'(
% 0.81/1.22 Z, Y, X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.81/1.22 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.81/1.22 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.81/1.22 ) ), =( Y, Z ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.81/1.22 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.81/1.22 ) ), =( Y, Z ) ],
% 0.81/1.22 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.81/1.22 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 0.81/1.22 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.81/1.22 [ ~( =( 'c_Divides_Odiv__class_Omod'( X, 'c_Nat_Osize__class_Osize'( Y,
% 0.81/1.22 'tc_List_Olist'( Z ) ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.81/1.22 ) ) ), =( 'c_List_Orotate'( X, Y, Z ), Y ) ],
% 0.81/1.22 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ) ), =( Y, Z ) ],
% 0.81/1.22 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ) ) ), =( X, Z ) ],
% 0.81/1.22 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ) ), =( Y, Z ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.81/1.22 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.81/1.22 X ) ) ), =( Z, T ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.81/1.22 X ) ) ), =( Z, T ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.81/1.22 X ) ) ), =( Y, T ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.81/1.22 , =( 'c_HOL_Oplus__class_Oplus'( 'c_Orderings_Oord__class_Omin'( Y, Z, X
% 0.81/1.22 ), T, X ), 'c_Orderings_Oord__class_Omin'( 'c_HOL_Oplus__class_Oplus'( Y
% 0.81/1.22 , T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ) ) ],
% 0.81/1.22 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.81/1.22 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.81/1.22 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 0.81/1.22 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.81/1.22 , T, X ), X ), T, X ) ) ],
% 0.81/1.22 [ ~( =( 'c_Suc'( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ), Y ) )
% 0.81/1.22 , =( 'c_Divides_Odiv__class_Omod'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.81/1.22 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.81/1.22 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.81/1.22 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'(
% 0.81/1.22 X ), Y, 'tc_nat' ), 'c_Suc'( Z ), 'tc_nat' ),
% 0.81/1.22 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.81/1.22 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 0.81/1.22 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 0.81/1.22 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.81/1.22 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 0.81/1.22 X ), X ) ) ],
% 0.81/1.22 [ ~( 'class_Int_Onumber'( X ) ), ~( 'class_HOL_Oord'( X ) ), =(
% 0.81/1.22 'c_Orderings_Oord__class_Omin'( 'c_Int_Onumber__class_Onumber__of'( Y, X
% 0.81/1.22 ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 0.81/1.22 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), ~( 'c_lessequals'(
% 0.81/1.22 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.81/1.22 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 0.81/1.22 [ =( 'c_Orderings_Oord__class_Omin'( 'c_Suc'( X ), 'c_Suc'( Y ),
% 0.81/1.22 'tc_nat' ), 'c_Suc'( 'c_Orderings_Oord__class_Omin'( X, Y, 'tc_nat' ) ) )
% 0.81/1.22 ],
% 0.81/1.22 [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Olist__update'( X, Y, Z, T ),
% 0.81/1.22 'tc_List_Olist'( T ) ), 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( T
% 0.81/1.22 ) ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.81/1.22 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 0.81/1.22 'c_Power_Opower__class_Opower'( T, 'c_Suc'( Z ), X ) ) ), =( Y, T ), ~(
% 0.81/1.22 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.81/1.22 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.81/1.22 ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.81/1.22 ],
% 0.81/1.22 [ =( X, 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.81/1.22 'tc_nat' ), 'tc_nat' ) ) ],
% 0.81/1.22 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.81/1.22 , X, 'tc_nat' ), X ) ],
% 0.81/1.22 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.81/1.22 ), 'tc_nat' ), X ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.81/1.22 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.81/1.22 ), X ) ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.81/1.22 ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.81/1.22 ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.81/1.22 ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.81/1.22 ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.81/1.22 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.81/1.22 ],
% 0.81/1.22 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.81/1.22 'tc_nat' ), Y, 'tc_nat' ), X ) ],
% 0.81/1.22 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.81/1.22 'tc_nat' ), X, 'tc_nat' ), Y ) ],
% 0.81/1.22 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.81/1.22 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.81/1.22 ), Y ) ],
% 0.81/1.22 [ =( 'c_List_Orotate'( X, 'c_List_Orotate'( Y, Z, T ), T ),
% 0.81/1.22 'c_List_Orotate'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), Z, T ) )
% 0.81/1.22 ],
% 0.81/1.22 [ =( 'c_List_Ohd'( 'c_List_Olist_OCons'( X, Y, Z ), Z ), X ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.81/1.22 'c_List_Olinorder__class_Osorted'( 'c_List_Olist_OCons'( Y,
% 0.81/1.22 'c_List_Olist_OCons'( Z, T, X ), X ), X ) ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.81/1.22 'c_List_Olinorder__class_Osorted'( 'c_List_Olist_OCons'( Y,
% 0.81/1.22 'c_List_Olist_OCons'( Z, T, X ), X ), X ), ~(
% 0.81/1.22 'c_List_Olinorder__class_Osorted'( 'c_List_Olist_OCons'( Z, T, X ), X ) )
% 0.81/1.22 , ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.81/1.22 [ =( 'c_List_Oreplicate'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 0.81/1.22 Z, T ), 'c_List_Oappend'( 'c_List_Oreplicate'( X, Z, T ),
% 0.81/1.22 'c_List_Oreplicate'( Y, Z, T ), T ) ) ],
% 0.81/1.22 [ =( 'c_List_Otake'( 'c_Suc'( X ), Y, Z ), 'c_List_Olist_OCons'(
% 0.81/1.22 'c_List_Ohd'( Y, Z ), 'c_List_Otake'( X, 'c_List_Otl'( Y, Z ), Z ), Z ) )
% 0.81/1.22 , =( Y, 'c_List_Olist_ONil'( Z ) ) ],
% 0.81/1.22 [ =( 'c_List_Otake'( X, 'c_List_Odrop'( Y, Z, T ), T ), 'c_List_Odrop'(
% 0.81/1.22 Y, 'c_List_Otake'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), Z, T ),
% 0.81/1.22 T ) ) ],
% 0.81/1.22 [ =( 'c_List_Odrop'( X, 'c_List_Otake'( Y, Z, T ), T ), 'c_List_Otake'(
% 0.81/1.22 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), 'c_List_Odrop'( X, Z, T )
% 0.81/1.22 , T ) ) ],
% 0.81/1.22 [ =( 'c_List_Orotate'( X, Y, Z ), 'c_List_Oappend'( 'c_List_Odrop'(
% 0.81/1.22 'c_Divides_Odiv__class_Omod'( X, 'c_Nat_Osize__class_Osize'( Y,
% 0.81/1.22 'tc_List_Olist'( Z ) ), 'tc_nat' ), Y, Z ), 'c_List_Otake'(
% 0.81/1.22 'c_Divides_Odiv__class_Omod'( X, 'c_Nat_Osize__class_Osize'( Y,
% 0.81/1.22 'tc_List_Olist'( Z ) ), 'tc_nat' ), Y, Z ), Z ) ) ],
% 0.81/1.22 [ =( 'c_List_Olast'( 'c_List_Olist__update'( X, Y, Z, T ), T ),
% 0.81/1.22 'c_List_Olast'( X, T ) ), =( Y, 'c_HOL_Ominus__class_Ominus'(
% 0.81/1.22 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( T ) ),
% 0.81/1.22 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ), =( X,
% 0.81/1.22 'c_List_Olist_ONil'( T ) ) ],
% 0.81/1.22 [ =( X, 'c_List_Olist_ONil'( Y ) ), =( 'c_List_Olast'(
% 0.81/1.22 'c_List_Olist__update'( X, 'c_HOL_Ominus__class_Ominus'(
% 0.81/1.22 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ),
% 0.81/1.22 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), Z, Y ), Y ), Z ) ],
% 0.81/1.22 [ =( 'c_List_Otake'( X, 'c_List_Oreplicate'( Y, Z, T ), T ),
% 0.81/1.22 'c_List_Oreplicate'( 'c_Orderings_Oord__class_Omin'( X, Y, 'tc_nat' ), Z
% 0.81/1.22 , T ) ) ],
% 0.81/1.22 [ =( 'c_List_Odrop'( X, 'c_List_Oreplicate'( Y, Z, T ), T ),
% 0.81/1.22 'c_List_Oreplicate'( 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), Z, T
% 0.81/1.22 ) ) ],
% 0.81/1.22 [ =( 'c_List_Otake'( X, 'c_List_Otl'( Y, Z ), Z ), 'c_List_Otl'(
% 0.81/1.22 'c_List_Otake'( 'c_Suc'( X ), Y, Z ), Z ) ) ],
% 0.81/1.22 [ =( 'c_List_Odrop'( 'c_Suc'( X ), Y, Z ), 'c_List_Odrop'( X,
% 0.81/1.22 'c_List_Otl'( Y, Z ), Z ) ) ],
% 0.81/1.22 [ =( 'c_List_Orotate'( 'c_Suc'( X ), Y, Z ), 'c_List_Orotate1'(
% 0.81/1.22 'c_List_Orotate'( X, Y, Z ), Z ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.81/1.22 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.81/1.22 X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.81/1.22 [ ~( =( 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( 'c_List_Odrop'(
% 0.81/1.22 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), 'c_List_Olist_OCons'(
% 0.81/1.22 Y, Z, T ), T ), 'c_List_Olist_OCons'( Y, Z, T ) ) ],
% 0.81/1.22 [ =( 'c_List_Olist__update'( 'c_List_Oappend'( X, 'c_List_Olist_OCons'(
% 0.81/1.22 Y, Z, T ), T ), 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( T ) ), U
% 0.81/1.22 , T ), 'c_List_Oappend'( X, 'c_List_Olist_OCons'( U, Z, T ), T ) ) ],
% 0.81/1.22 [ ~( =( X, 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( X,
% 0.81/1.22 'tc_List_Olist'( Y ) ), Z, Y ) ) ), =( 'c_List_Oappend'( X,
% 0.81/1.22 'c_List_Odrop'( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ), Z
% 0.81/1.22 , Y ), Y ), Z ) ],
% 0.81/1.22 [ ~( =( 'c_List_Oappend'( 'c_List_Odrop'( 'c_Nat_Osize__class_Osize'( X
% 0.81/1.22 , 'tc_List_Olist'( Y ) ), Z, Y ), 'c_List_Oappend'( 'c_List_Odrop'(
% 0.81/1.22 'c_Nat_Osize__class_Osize'( Z, 'tc_List_Olist'( Y ) ), X, Y ), T, Y ), Y
% 0.81/1.22 ), T ) ), ~( =( 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( X,
% 0.81/1.22 'tc_List_Olist'( Y ) ), Z, Y ), X ) ), ~( =( Z, 'c_List_Otake'(
% 0.81/1.22 'c_Nat_Osize__class_Osize'( Z, 'tc_List_Olist'( Y ) ), X, Y ) ) ), =(
% 0.81/1.22 'c_List_Oappend'( Z, 'c_List_Oappend'( 'c_List_Odrop'(
% 0.81/1.22 'c_Nat_Osize__class_Osize'( Z, 'tc_List_Olist'( Y ) ), X, Y ), T, Y ), Y
% 0.81/1.22 ), 'c_List_Oappend'( X, T, Y ) ) ],
% 0.81/1.22 [ =( 'c_List_Olast'( 'c_List_Orev'( X, Y ), Y ), 'c_List_Ohd'( X, Y ) )
% 0.81/1.22 , =( X, 'c_List_Olist_ONil'( Y ) ) ],
% 0.81/1.22 [ =( 'c_List_Ohd'( 'c_List_Orev'( X, Y ), Y ), 'c_List_Olast'( X, Y ) )
% 0.81/1.22 , =( X, 'c_List_Olist_ONil'( Y ) ) ],
% 0.81/1.22 [ =( 'c_List_Otl'( 'c_List_Otake'( X, Y, Z ), Z ), 'c_List_Otake'(
% 0.81/1.22 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.81/1.22 'tc_nat' ), 'c_List_Otl'( Y, Z ), Z ) ) ],
% 0.81/1.22 [ ~( =( 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( 'c_List_Otake'(
% 0.81/1.22 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), 'c_List_Olist_OCons'(
% 0.81/1.22 Y, Z, T ), T ), 'c_List_Olist_ONil'( T ) ) ],
% 0.81/1.22 [ =( 'c_List_Otake'( X, 'c_List_Olist_OCons'( Y, Z, T ), T ),
% 0.81/1.22 'c_List_Olist_OCons'( Y, 'c_List_Otake'( 'c_HOL_Ominus__class_Ominus'( X
% 0.81/1.22 , 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), Z, T ), T ) ), =( X,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.81/1.22 [ =( 'c_List_Odrop'( X, 'c_List_Olist_OCons'( Y, Z, T ), T ),
% 0.81/1.22 'c_List_Odrop'( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oone__class_Oone'(
% 0.81/1.22 'tc_nat' ), 'tc_nat' ), Z, T ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 0.81/1.22 'tc_nat' ) ) ],
% 0.81/1.22 [ =( 'c_List_Otl'( 'c_List_Oreplicate'( X, Y, Z ), Z ),
% 0.81/1.22 'c_List_Oreplicate'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.81/1.22 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), Y, Z ) ), =( X,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.81/1.22 [ =( 'c_List_Osplice'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ),
% 0.81/1.22 'c_List_Olist_OCons'( X, 'c_List_Olist_OCons'( 'c_List_Ohd'( T, Z ),
% 0.81/1.22 'c_List_Osplice'( Y, 'c_List_Otl'( T, Z ), Z ), Z ), Z ) ), =( T,
% 0.81/1.22 'c_List_Olist_ONil'( Z ) ) ],
% 0.81/1.22 [ =( 'c_List_Orotate1'( X, Y ), 'c_List_Oappend'( 'c_List_Otl'( X, Y ),
% 0.81/1.22 'c_List_Olist_OCons'( 'c_List_Ohd'( X, Y ), 'c_List_Olist_ONil'( Y ), Y )
% 0.81/1.22 , Y ) ), =( X, 'c_List_Olist_ONil'( Y ) ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.81/1.22 'c_List_Olinorder__class_Osorted'( Y, X ), ~(
% 0.81/1.22 'c_List_Olinorder__class_Osorted'( 'c_List_Olist_OCons'( Z, Y, X ), X ) )
% 0.81/1.22 ],
% 0.81/1.22 [ =( 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.81/1.22 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, T ), Z, T ) ) ],
% 0.81/1.22 [ =( 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.81/1.22 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, T ), Z, T ) ) ],
% 0.81/1.22 [ =( 'c_List_Oremove1'( X, 'c_List_Olist_OCons'( X, Y, Z ), Z ), Y ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ =( 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ),
% 0.81/1.22 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.81/1.22 [ =( 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, Z ), T, Z ),
% 0.81/1.22 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.81/1.22 'c_List_Olinorder__class_Osorted'( 'c_List_Olist_OCons'( Y, Z, X ), X ),
% 0.81/1.22 ~( 'c_List_Olinorder__class_Osorted'( 'c_List_Olist_OCons'( T,
% 0.81/1.22 'c_List_Olist_OCons'( Y, Z, X ), X ), X ) ) ],
% 0.81/1.22 [ =( 'c_List_OremoveAll'( X, 'c_List_Olist_OCons'( Y, Z, T ), T ),
% 0.81/1.22 'c_List_Olist_OCons'( Y, 'c_List_OremoveAll'( X, Z, T ), T ) ), =( X, Y )
% 0.81/1.22 ],
% 0.81/1.22 [ =( 'c_List_Oremove1'( X, 'c_List_Olist_OCons'( Y, Z, T ), T ),
% 0.81/1.22 'c_List_Olist_OCons'( Y, 'c_List_Oremove1'( X, Z, T ), T ) ), =( X, Y ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ =( 'c_List_Osplice'( 'c_List_Olist_OCons'( X, Y, Z ),
% 0.81/1.22 'c_List_Olist_OCons'( T, U, Z ), Z ), 'c_List_Olist_OCons'( X,
% 0.81/1.22 'c_List_Olist_OCons'( T, 'c_List_Osplice'( Y, U, Z ), Z ), Z ) ) ],
% 0.81/1.22 [ 'c_List_Omember'( X, 'c_List_Olist_OCons'( Y, Z, T ), T ), ~(
% 0.81/1.22 'c_List_Omember'( X, Z, T ) ) ],
% 0.81/1.22 [ =( 'c_List_Otl'( 'c_List_Olist_OCons'( X, Y, Z ), Z ), Y ) ],
% 0.81/1.22 [ 'c_List_Omember'( X, 'c_List_Olist_OCons'( X, Y, Z ), Z ) ],
% 0.81/1.22 [ =( 'c_List_OremoveAll'( X, 'c_List_Olist_OCons'( X, Y, Z ), Z ),
% 0.81/1.22 'c_List_OremoveAll'( X, Y, Z ) ) ],
% 0.81/1.22 [ ~( 'c_List_Onull'( 'c_List_Olist_OCons'( X, Y, Z ), Z ) ) ],
% 0.81/1.22 [ 'c_List_Omember'( X, Y, Z ), =( X, T ), ~( 'c_List_Omember'( X,
% 0.81/1.22 'c_List_Olist_OCons'( T, Y, Z ), Z ) ) ],
% 0.81/1.22 [ =( 'c_List_Orev'( 'c_List_Oappend'( X, Y, Z ), Z ), 'c_List_Oappend'(
% 0.81/1.22 'c_List_Orev'( Y, Z ), 'c_List_Orev'( X, Z ), Z ) ) ],
% 0.81/1.22 [ ~( =( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Oreplicate'( T, U, Z ) )
% 0.81/1.22 ), =( Y, U ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.81/1.22 [ =( 'c_List_Olist__update'( 'c_List_Olist_OCons'( X, Y, Z ),
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), T, Z ), 'c_List_Olist_OCons'( T,
% 0.81/1.22 Y, Z ) ) ],
% 0.81/1.22 [ =( 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y )
% 0.81/1.22 , 'c_List_Olist_ONil'( Y ) ) ],
% 0.81/1.22 [ =( 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y )
% 0.81/1.22 , 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, Y ) ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ =( 'c_List_Obutlast'( 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y
% 0.81/1.22 ), Y ), 'c_List_Obutlast'( X, Y ) ) ],
% 0.81/1.22 [ =( 'c_List_Olast'( 'c_List_Oreplicate'( X, Y, Z ), Z ), Y ), =( X,
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.81/1.22 [ =( 'c_List_Obutlast'( 'c_List_Odrop'( X, Y, Z ), Z ), 'c_List_Odrop'(
% 0.81/1.22 X, 'c_List_Obutlast'( Y, Z ), Z ) ) ],
% 0.81/1.22 [ =( 'c_List_Oappend'( 'c_List_Otake'( X, Y, Z ), 'c_List_Odrop'( X, Y,
% 0.81/1.22 Z ), Z ), Y ) ],
% 0.81/1.22 [ =( 'c_List_Odrop'( 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.81/1.22 'c_List_Olist_OCons'( X, Y, Z ), Z ), Y ) ],
% 0.81/1.22 [ ~( =( 'c_List_Otake'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( Y,
% 0.81/1.22 'c_List_Olist_ONil'( Z ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.81/1.22 ) ],
% 0.81/1.22 [ =( 'c_List_Otl'( 'c_List_Odrop'( X, Y, Z ), Z ), 'c_List_Odrop'( X,
% 0.81/1.22 'c_List_Otl'( Y, Z ), Z ) ) ],
% 0.81/1.22 [ =( 'c_List_Odrop'( X, 'c_List_Obutlast'( Y, Z ), Z ),
% 0.81/1.22 'c_List_Obutlast'( 'c_List_Odrop'( X, Y, Z ), Z ) ) ],
% 0.81/1.22 [ =( 'c_List_Odrop'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y ), X )
% 0.81/1.22 ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.81/1.22 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z ) ) )
% 0.81/1.22 , =( 'c_List_Oappend'( 'c_List_Osko__List__Xappend__eq__Cons__conv__1__1'(
% 0.81/1.22 T, U, X, Y, Z ), Y, Z ), U ), =( Y, 'c_List_Olist_OCons'( T, U, Z ) ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'( T, U, Z ) ) )
% 0.81/1.22 , =( 'c_List_Olist_OCons'( X,
% 0.81/1.22 'c_List_Osko__List__XCons__eq__append__conv__1__1'( X, Y, T, U, Z ), Z )
% 0.81/1.22 , T ), =( 'c_List_Olist_OCons'( X, Y, Z ), U ) ],
% 0.81/1.22 [ =( 'c_List_Odrop'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.81/1.22 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_List_Olist_OCons'( X, Y, Z ) ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.81/1.22 'c_List_Olinorder__class_Osorted'( 'c_List_Odrop'( Y, Z, X ), X ), ~(
% 0.81/1.22 'c_List_Olinorder__class_Osorted'( Z, X ) ) ],
% 0.81/1.22 [ =( 'c_List_Odrop'( X, 'c_List_Otl'( Y, Z ), Z ), 'c_List_Otl'(
% 0.81/1.22 'c_List_Odrop'( X, Y, Z ), Z ) ) ],
% 0.81/1.22 [ ~( =( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Oreplicate'( T, U, Z ) )
% 0.81/1.22 ), =( X, T ) ],
% 0.81/1.22 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( T, Y, Z ) ) ),
% 0.81/1.22 =( X, T ) ],
% 0.81/1.22 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( X, T, Z ) ) ),
% 0.81/1.22 =( Y, T ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.81/1.22 'c_List_Olinorder__class_Osorted'( 'c_List_Otake'( Y, Z, X ), X ), ~(
% 0.81/1.22 'c_List_Olinorder__class_Osorted'( Z, X ) ) ],
% 0.81/1.22 [ =( X, 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ) ) ],
% 0.81/1.22 [ =( 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ), X ) ],
% 0.81/1.22 [ =( 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ), X ) ],
% 0.81/1.22 [ =( 'c_List_Oappend'( 'c_List_Obutlast'( X, Y ), 'c_List_Olist_OCons'(
% 0.81/1.22 'c_List_Olast'( X, Y ), 'c_List_Olist_ONil'( Y ), Y ), Y ), X ), =( X,
% 0.81/1.22 'c_List_Olist_ONil'( Y ) ) ],
% 0.81/1.22 [ =( 'c_List_Orev'( 'c_List_Oreplicate'( X, Y, Z ), Z ),
% 0.81/1.22 'c_List_Oreplicate'( X, Y, Z ) ) ],
% 0.81/1.22 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.81/1.22 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.81/1.22 [ =( 'c_List_Otl'( 'c_List_Oappend'( X, Y, Z ), Z ), 'c_List_Oappend'(
% 0.81/1.22 'c_List_Otl'( X, Z ), Y, Z ) ), =( X, 'c_List_Olist_ONil'( Z ) ) ],
% 0.81/1.22 [ =( 'c_List_OremoveAll'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.81/1.22 'c_List_Oappend'( 'c_List_OremoveAll'( X, Y, T ), 'c_List_OremoveAll'( X
% 0.81/1.22 , Z, T ), T ) ) ],
% 0.81/1.22 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Oreplicate'(
% 0.81/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, X ) ) ],
% 0.81/1.22 [ =( 'c_List_Olast'( 'c_List_Oappend'( X, Y, Z ), Z ), 'c_List_Olast'( Y
% 0.81/1.22 , Z ) ), =( Y, 'c_List_Olist_ONil'( Z ) ) ],
% 0.81/1.22 [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ),
% 0.81/1.22 'c_List_Oreplicate'( T, Y, Z ), Z ), 'c_List_Oappend'(
% 0.81/1.22 'c_List_Oreplicate'( T, Y, Z ), 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ =( 'c_List_Oremove1'( X, Y, Z ), 'c_List_OremoveAll'( X, Y, Z ) ), ~(
% 0.81/1.22 'c_List_Odistinct'( Y, Z ) ) ],
% 0.81/1.22 [ =( 'c_List_Otake'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y ),
% 0.81/1.22 'c_List_Olist_ONil'( Y ) ) ],
% 0.81/1.22 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Orev'( Z, Y ) ) ), =( X, Z ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ =( 'c_List_Olast'( 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y )
% 0.81/1.22 , Y ), 'c_List_Olast'( X, Y ) ) ],
% 0.81/1.22 [ ~( =( 'c_List_Oreplicate'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ),
% 0.81/1.22 =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.81/1.22 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oreplicate'( Y, Z, X ) ) ),
% 0.81/1.22 =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.81/1.22 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z ) ) )
% 0.81/1.22 , =( X, 'c_List_Olist_OCons'( T,
% 0.81/1.22 'c_List_Osko__List__Xappend__eq__Cons__conv__1__1'( T, U, X, Y, Z ), Z )
% 0.81/1.22 ), =( Y, 'c_List_Olist_OCons'( T, U, Z ) ) ],
% 0.81/1.22 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'( T, U, Z ) ) )
% 0.81/1.22 , =( Y, 'c_List_Oappend'(
% 0.81/1.22 'c_List_Osko__List__XCons__eq__append__conv__1__1'( X, Y, T, U, Z ), U, Z
% 0.81/1.22 ) ), =( 'c_List_Olist_OCons'( X, Y, Z ), U ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.81/1.22 'c_List_Olinorder__class_Osorted'( Y, X ), ~(
% 0.81/1.22 'c_List_Olinorder__class_Osorted'( 'c_List_Oappend'( Y, Z, X ), X ) ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.81/1.22 'c_List_Olinorder__class_Osorted'( Y, X ), ~(
% 0.81/1.22 'c_List_Olinorder__class_Osorted'( 'c_List_Oappend'( Z, Y, X ), X ) ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ =( 'c_List_Olist__update'( 'c_List_Olist__update'( X, Y, Z, T ), U, W
% 0.81/1.22 , T ), 'c_List_Olist__update'( 'c_List_Olist__update'( X, U, W, T ), Y, Z
% 0.81/1.22 , T ) ), =( Y, U ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.81/1.22 'c_List_Olinorder__class_Osorted'( 'c_List_Oremdups'( Y, X ), X ), ~(
% 0.81/1.22 'c_List_Olinorder__class_Osorted'( Y, X ) ) ],
% 0.81/1.22 [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ),
% 0.81/1.22 'c_List_Olist_OCons'( Y, T, Z ), Z ), 'c_List_Olist_OCons'( Y,
% 0.81/1.22 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ), T, Z ), Z ) ) ],
% 0.81/1.22 [ =( 'c_List_Obutlast'( 'c_List_Oappend'( X, Y, Z ), Z ),
% 0.81/1.22 'c_List_Oappend'( X, 'c_List_Obutlast'( Y, Z ), Z ) ), =( Y,
% 0.81/1.22 'c_List_Olist_ONil'( Z ) ) ],
% 0.81/1.22 [ =( 'c_List_Orotate1'( 'c_List_Orotate'( X, Y, Z ), Z ),
% 0.81/1.22 'c_List_Orotate'( X, 'c_List_Orotate1'( Y, Z ), Z ) ) ],
% 0.81/1.22 [ =( 'c_List_Olist__update'( 'c_List_Olist__update'( X, Y, Z, T ), Y, U
% 0.81/1.22 , T ), 'c_List_Olist__update'( X, Y, U, T ) ) ],
% 0.81/1.22 [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z ),
% 0.81/1.22 'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.81/1.22 [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.81/1.22 'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ],
% 0.81/1.22 [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z ),
% 0.81/1.22 'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ],
% 0.81/1.22 [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T ),
% 0.81/1.22 'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.81/1.22 'c_List_Olinorder__class_Osorted'( 'c_List_Oremove1'( Y, Z, X ), X ), ~(
% 0.81/1.22 'c_List_Olinorder__class_Osorted'( Z, X ) ) ],
% 0.81/1.22 [ =( X, 'c_List_Olist_OCons'(
% 0.81/1.22 'c_List_Osko__List__Xlist__Xnchotomy__1__1'( X, Y ),
% 0.81/1.22 'c_List_Osko__List__Xlist__Xnchotomy__1__2'( X, Y ), Y ) ), =( X,
% 0.81/1.22 'c_List_Olist_ONil'( Y ) ) ],
% 0.81/1.22 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'( T, U, Z ) ) )
% 0.81/1.22 , =( Y, 'c_List_Oappend'(
% 0.81/1.22 'c_List_Osko__List__XCons__eq__append__conv__1__1'( X, Y, T, U, Z ), U, Z
% 0.81/1.22 ) ), =( T, 'c_List_Olist_ONil'( Z ) ) ],
% 0.81/1.22 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z ) ) )
% 0.81/1.22 , =( X, 'c_List_Olist_OCons'( T,
% 0.81/1.22 'c_List_Osko__List__Xappend__eq__Cons__conv__1__1'( T, U, X, Y, Z ), Z )
% 0.81/1.22 ), =( X, 'c_List_Olist_ONil'( Z ) ) ],
% 0.81/1.22 [ =( 'c_List_Olast'( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.81/1.22 'c_List_Olist_ONil'( Z ), Z ), Z ), Z ), Y ) ],
% 0.81/1.22 [ =( 'c_List_Obutlast'( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.81/1.22 'c_List_Olist_ONil'( Z ), Z ), Z ), Z ), X ) ],
% 0.81/1.22 [ =( X, 'c_List_Olist_OCons'( 'c_List_Osko__List__Xlist__Xexhaust__1__1'(
% 0.81/1.22 X, Y ), 'c_List_Osko__List__Xlist__Xexhaust__1__2'( X, Y ), Y ) ), =( X,
% 0.81/1.22 'c_List_Olist_ONil'( Y ) ) ],
% 0.81/1.22 [ =( 'c_List_Otake'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.81/1.22 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_List_Olist_ONil'( Z ) ) ],
% 0.81/1.22 [ =( X, 'c_List_Olist_OCons'( 'c_List_Osko__List__Xneq__Nil__conv__1__1'(
% 0.81/1.22 X, Y ), 'c_List_Osko__List__Xneq__Nil__conv__1__2'( X, Y ), Y ) ), =( X,
% 0.81/1.22 'c_List_Olist_ONil'( Y ) ) ],
% 0.81/1.22 [ =( 'c_List_Otake'( 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 0.81/1.22 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_List_Olist_OCons'( X,
% 0.81/1.22 'c_List_Olist_ONil'( Z ), Z ) ) ],
% 0.81/1.22 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z ) ) )
% 0.81/1.22 , =( 'c_List_Oappend'( 'c_List_Osko__List__Xappend__eq__Cons__conv__1__1'(
% 0.81/1.22 T, U, X, Y, Z ), Y, Z ), U ), =( X, 'c_List_Olist_ONil'( Z ) ) ],
% 0.81/1.22 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'( T, U, Z ) ) )
% 0.81/1.22 , =( 'c_List_Olist_OCons'( X,
% 0.81/1.22 'c_List_Osko__List__XCons__eq__append__conv__1__1'( X, Y, T, U, Z ), Z )
% 0.81/1.22 , T ), =( T, 'c_List_Olist_ONil'( Z ) ) ],
% 0.81/1.22 [ =( 'c_List_Orev'( 'c_List_Olist_OCons'( X, Y, Z ), Z ),
% 0.81/1.22 'c_List_Oappend'( 'c_List_Orev'( Y, Z ), 'c_List_Olist_OCons'( X,
% 0.81/1.22 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ],
% 0.81/1.22 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z, T, Y ) ) ), =( X
% 0.81/1.22 , 'c_List_Oappend'( 'c_List_Orev'( T, Y ), 'c_List_Olist_OCons'( Z,
% 0.81/1.22 'c_List_Olist_ONil'( Y ), Y ), Y ) ) ],
% 0.81/1.22 [ =( 'c_List_Orev'( 'c_List_Oappend'( 'c_List_Orev'( X, Y ),
% 0.81/1.22 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( Y ), Y ), Y ), Y ),
% 0.81/1.22 'c_List_Olist_OCons'( Z, X, Y ) ) ],
% 0.81/1.22 [ =( 'c_List_Orotate1'( 'c_List_Olist_OCons'( X, Y, Z ), Z ),
% 0.81/1.22 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Z ), Z
% 0.81/1.22 ), Z ) ) ],
% 0.81/1.22 [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ),
% 0.81/1.22 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'( Z ), Z ), Z ),
% 0.81/1.22 'c_List_Olist_OCons'( Y, 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ],
% 0.81/1.22 [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), 'c_List_Olist_ONil'( X
% 0.81/1.22 ), X ), 'c_List_Olist_ONil'( X ) ) ],
% 0.81/1.22 [ =( X, 'c_List_Olist_ONil'( Y ) ), ~( 'c_List_Onull'( X, Y ) ) ],
% 0.81/1.22 [ =( 'c_List_OremoveAll'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 0.81/1.22 'c_List_Olist_ONil'( Y ) ) ],
% 0.81/1.22 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Orev'( 'c_List_Olist_ONil'( X ),
% 0.81/1.22 X ) ) ],
% 0.81/1.22 [ =( 'c_List_Obutlast'( 'c_List_Olist_ONil'( X ), X ),
% 0.81/1.22 'c_List_Olist_ONil'( X ) ) ],
% 0.81/1.22 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Oremdups'( 'c_List_Olist_ONil'( X
% 0.81/1.22 ), X ) ) ],
% 0.81/1.22 [ ~( =( X, 'c_List_Oappend'( Y, X, Z ) ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.81/1.22 ) ) ],
% 0.81/1.22 [ ~( =( 'c_List_Oappend'( X, Y, Z ), Y ) ), =( X, 'c_List_Olist_ONil'( Z
% 0.81/1.22 ) ) ],
% 0.81/1.22 [ ~( =( X, 'c_List_Oappend'( X, Y, Z ) ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.81/1.22 ) ) ],
% 0.81/1.22 [ ~( =( 'c_List_Oappend'( X, Y, Z ), X ) ), =( Y, 'c_List_Olist_ONil'( Z
% 0.81/1.22 ) ) ],
% 0.81/1.22 [ ~( =( 'c_List_Oremdups'( X, Y ), 'c_List_Olist_ONil'( Y ) ) ), =( X,
% 0.81/1.22 'c_List_Olist_ONil'( Y ) ) ],
% 0.81/1.22 [ =( 'c_List_Osplice'( X, 'c_List_Olist_ONil'( Y ), Y ), X ) ],
% 0.81/1.22 [ =( 'c_List_Osplice'( 'c_List_Olist_ONil'( X ), Y, X ), Y ) ],
% 0.81/1.22 [ =( 'c_List_Otl'( 'c_List_Olist_ONil'( X ), X ), 'c_List_Olist_ONil'( X
% 0.81/1.22 ) ) ],
% 0.81/1.22 [ ~( =( 'c_List_Orotate'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( Y
% 0.81/1.22 , 'c_List_Olist_ONil'( Z ) ) ],
% 0.81/1.22 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Orev'( Y, X ) ) ), =( Y,
% 0.81/1.22 'c_List_Olist_ONil'( X ) ) ],
% 0.81/1.22 [ ~( 'c_List_Omember'( X, 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 0.81/1.22 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( Y
% 0.81/1.22 , 'c_List_Olist_ONil'( Z ) ) ],
% 0.81/1.22 [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ), =( X
% 0.81/1.22 , 'c_List_Olist_ONil'( Z ) ) ],
% 0.81/1.22 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z, X ) ) ), =( Z
% 0.81/1.22 , 'c_List_Olist_ONil'( X ) ) ],
% 0.81/1.22 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z, X ) ) ), =( Y
% 0.81/1.22 , 'c_List_Olist_ONil'( X ) ) ],
% 0.81/1.22 [ =( 'c_List_Oremdups'( 'c_List_Olist_ONil'( X ), X ),
% 0.81/1.22 'c_List_Olist_ONil'( X ) ) ],
% 0.81/1.22 [ =( 'c_List_Odrop'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 0.81/1.22 'c_List_Olist_ONil'( Y ) ) ],
% 0.81/1.22 [ =( 'c_List_Olist__inter'( 'c_List_Olist_ONil'( X ), Y, X ),
% 0.81/1.22 'c_List_Olist_ONil'( X ) ) ],
% 0.81/1.22 [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y ) ) ],
% 0.81/1.22 [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), Y, X ), Y ) ],
% 0.81/1.22 [ =( X, 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 0.81/1.22 [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y ) ) ],
% 0.81/1.22 [ =( 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y ), X ) ],
% 0.81/1.22 [ ~( =( 'c_List_Orotate1'( X, Y ), 'c_List_Olist_ONil'( Y ) ) ), =( X,
% 0.81/1.22 'c_List_Olist_ONil'( Y ) ) ],
% 0.81/1.22 [ =( 'c_List_Otake'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 0.81/1.22 'c_List_Olist_ONil'( Y ) ) ],
% 0.81/1.22 [ =( 'c_List_Orotate1'( 'c_List_Olist_ONil'( X ), X ),
% 0.81/1.22 'c_List_Olist_ONil'( X ) ) ],
% 0.81/1.22 [ 'c_List_Onull'( 'c_List_Olist_ONil'( X ), X ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.81/1.22 'c_List_Olinorder__class_Osorted'( 'c_List_Olist_ONil'( X ), X ) ],
% 0.81/1.22 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oremdups'( Y, X ) ) ), =( Y,
% 0.81/1.22 'c_List_Olist_ONil'( X ) ) ],
% 0.81/1.22 [ =( 'c_List_Olist__update'( 'c_List_Olist_ONil'( X ), Y, Z, X ),
% 0.81/1.22 'c_List_Olist_ONil'( X ) ) ],
% 0.81/1.22 [ =( 'c_List_Olist__update'( 'c_List_Olist_ONil'( X ), Y, Z, X ),
% 0.81/1.22 'c_List_Olist_ONil'( X ) ) ],
% 0.81/1.22 [ =( 'c_List_Olist__update'( 'c_List_Olist_ONil'( X ), Y, Z, X ),
% 0.81/1.22 'c_List_Olist_ONil'( X ) ) ],
% 0.81/1.22 [ =( 'c_List_Oremove1'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 0.81/1.22 'c_List_Olist_ONil'( Y ) ) ],
% 0.81/1.22 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_ONil'( Y ) ) ), =( X,
% 0.81/1.22 'c_List_Olist_ONil'( Y ) ) ],
% 0.81/1.22 [ =( 'c_List_Orotate'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 0.81/1.22 'c_List_Olist_ONil'( Y ) ) ],
% 0.81/1.22 [ =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( 'c_List_Olist_ONil'( X
% 0.81/1.22 ), 'c_List_Olist_ONil'( X ), X ) ) ],
% 0.81/1.22 [ =( 'c_List_Orev'( 'c_List_Olist_ONil'( X ), X ), 'c_List_Olist_ONil'(
% 0.81/1.22 X ) ) ],
% 0.81/1.22 [ ~( =( 'c_List_Olist__update'( X, Y, Z, T ), 'c_List_Olist_ONil'( T ) )
% 0.81/1.22 ), =( X, 'c_List_Olist_ONil'( T ) ) ],
% 0.81/1.22 [ 'c_List_Odistinct'( 'c_List_Oremdups'( X, Y ), Y ) ],
% 0.81/1.22 [ 'c_List_Odistinct'( 'c_List_Orotate'( X, Y, Z ), Z ), ~(
% 0.81/1.22 'c_List_Odistinct'( Y, Z ) ) ],
% 0.81/1.22 [ 'c_List_Odistinct'( X, Y ), ~( 'c_List_Odistinct'( 'c_List_Orotate'( Z
% 0.81/1.22 , X, Y ), Y ) ) ],
% 0.81/1.22 [ 'c_List_Odistinct'( 'c_List_Oremove1'( X, Y, Z ), Z ), ~(
% 0.81/1.22 'c_List_Odistinct'( Y, Z ) ) ],
% 0.81/1.22 [ 'c_List_Odistinct'( X, Y ), ~( 'c_List_Odistinct'( 'c_List_Oappend'( Z
% 0.81/1.22 , X, Y ), Y ) ) ],
% 0.81/1.22 [ 'c_List_Odistinct'( X, Y ), ~( 'c_List_Odistinct'( 'c_List_Oappend'( X
% 0.81/1.22 , Z, Y ), Y ) ) ],
% 0.81/1.22 [ 'c_List_Odistinct'( 'c_List_Orotate1'( X, Y ), Y ), ~(
% 0.81/1.22 'c_List_Odistinct'( X, Y ) ) ],
% 0.81/1.22 [ 'c_List_Odistinct'( X, Y ), ~( 'c_List_Odistinct'( 'c_List_Orotate1'(
% 0.81/1.22 X, Y ), Y ) ) ],
% 0.81/1.22 [ 'c_List_Odistinct'( 'c_List_Odrop'( X, Y, Z ), Z ), ~(
% 0.81/1.22 'c_List_Odistinct'( Y, Z ) ) ],
% 0.81/1.22 [ 'c_List_Odistinct'( 'c_List_Orev'( X, Y ), Y ), ~( 'c_List_Odistinct'(
% 0.81/1.22 X, Y ) ) ],
% 0.81/1.22 [ 'c_List_Odistinct'( X, Y ), ~( 'c_List_Odistinct'( 'c_List_Orev'( X, Y
% 0.81/1.22 ), Y ) ) ],
% 0.81/1.22 [ ~( =( 'c_List_Oremdups'( X, Y ), X ) ), 'c_List_Odistinct'( X, Y ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ =( 'c_List_Oremdups'( X, Y ), X ), ~( 'c_List_Odistinct'( X, Y ) ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ 'c_List_Odistinct'( 'c_List_Otake'( X, Y, Z ), Z ), ~(
% 0.81/1.22 'c_List_Odistinct'( Y, Z ) ) ],
% 0.81/1.22 [ 'c_List_Odistinct'( 'c_List_Olist_OCons'(
% 0.81/1.22 'v_sko__Arrow__Order__Mirabelle__Xalt3__1', 'c_List_Olist_OCons'(
% 0.81/1.22 'v_sko__Arrow__Order__Mirabelle__Xalt3__2', 'c_List_Olist_OCons'(
% 0.81/1.22 'v_sko__Arrow__Order__Mirabelle__Xalt3__3', 'c_List_Olist_ONil'(
% 0.81/1.22 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt' )
% 0.81/1.22 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.81/1.22 ), 'tc_Arrow__Order__Mirabelle_Oalt' ) ],
% 0.81/1.22 [ ~( =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.81/1.22 'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Oappend'( T,
% 0.81/1.22 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ), =( Y, U
% 0.81/1.22 ) ],
% 0.81/1.22 [ ~( =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 0.81/1.22 'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Oappend'( T,
% 0.81/1.22 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ), =( X, T
% 0.81/1.22 ) ],
% 0.81/1.22 [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), 'c_List_Olist_OCons'( Y
% 0.81/1.22 , Z, X ), X ), 'c_List_Olist_OCons'( Y, Z, X ) ) ],
% 0.81/1.22 [ =( 'c_List_Obutlast'( 'c_List_Olist_OCons'( X, Y, Z ), Z ),
% 0.81/1.22 'c_List_Olist_OCons'( X, 'c_List_Obutlast'( Y, Z ), Z ) ), =( Y,
% 0.81/1.22 'c_List_Olist_ONil'( Z ) ) ],
% 0.81/1.22 [ =( 'c_List_Olast'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ),
% 0.81/1.22 Y ), Y ), X ) ],
% 0.81/1.22 [ =( 'c_List_Obutlast'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y
% 0.81/1.22 ), Y ), Y ), 'c_List_Olist_ONil'( Y ) ) ],
% 0.81/1.22 [ =( 'c_List_Osplice'( 'c_List_Olist_OCons'( X, Y, Z ),
% 0.81/1.22 'c_List_Olist_ONil'( Z ), Z ), 'c_List_Olist_OCons'( X, Y, Z ) ) ],
% 0.81/1.22 [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z,
% 0.81/1.22 'c_List_Olist_ONil'( Y ), Y ) ) ), =( X, 'c_List_Olist_OCons'( Z,
% 0.81/1.22 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 0.81/1.22 [ ~( =( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 0.81/1.22 'c_List_Orev'( Z, Y ) ) ), =( Z, 'c_List_Olist_OCons'( X,
% 0.81/1.22 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 0.81/1.22 [ =( 'c_List_Orev'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y
% 0.81/1.22 ), Y ), 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y ) ) ],
% 0.81/1.22 [ =( 'c_List_Olast'( 'c_List_Olist_OCons'( X, Y, Z ), Z ),
% 0.81/1.22 'c_List_Olast'( Y, Z ) ), =( Y, 'c_List_Olist_ONil'( Z ) ) ],
% 0.81/1.22 [ =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'(
% 0.81/1.22 'c_List_Olist_ONil'( Z ), 'c_List_Olist_OCons'( X, Y, Z ), Z ) ) ],
% 0.81/1.22 [ =( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 0.81/1.22 'c_List_Orev'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y ), Y
% 0.81/1.22 ) ) ],
% 0.81/1.22 [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.81/1.22 'c_List_Olinorder__class_Osorted'( 'c_List_Olist_OCons'( Y,
% 0.81/1.22 'c_List_Olist_ONil'( X ), X ), X ) ],
% 0.81/1.22 [ 'c_List_Odistinct'( 'c_List_Olist_OCons'( X, 'c_List_Olist_OCons'( Y,
% 0.81/1.22 'c_List_Olist_OCons'( 'v_sko__Arrow__Order__Mirabelle__Xthird__alt__1'( X
% 0.81/1.22 , Y ), 'c_List_Olist_ONil'( 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.81/1.22 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt' )
% 0.81/1.22 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.81/1.22 ), =( X, Y ) ],
% 0.81/1.22 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.81/1.22 ) ), =( Y, U ) ],
% 0.81/1.22 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.81/1.22 ) ), =( X, T ) ],
% 0.81/1.22 [ 'c_List_Odistinct'( 'c_List_Olist_ONil'( X ), X ) ],
% 0.81/1.22 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Olist_OCons'( Y, Z, X ) ) ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ 'v_thesis____', ~( 'c_List_Odistinct'( 'c_List_Olist_OCons'( 'v_a____'
% 0.81/1.22 , 'c_List_Olist_OCons'( 'v_b____', 'c_List_Olist_OCons'( X,
% 0.81/1.22 'c_List_Olist_ONil'( 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.81/1.22 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt' )
% 0.81/1.22 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.81/1.22 ) ) ],
% 0.81/1.22 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), Y ) ) ],
% 0.81/1.22 [ ~( =( X, 'c_List_Olist_OCons'( Y, X, Z ) ) ) ],
% 0.81/1.22 [ 'c_List_Odistinct'( X, Y ), ~( 'c_List_Odistinct'(
% 0.81/1.22 'c_List_Olist_OCons'( Z, X, Y ), Y ) ) ],
% 0.81/1.22 [ 'c_List_Odistinct'( 'c_List_Olist_OCons'( X, 'c_List_Olist_OCons'( Y,
% 0.81/1.22 'c_List_Olist_OCons'( 'v_sko__CHAINED__1'( X, Y ), 'c_List_Olist_ONil'(
% 0.81/1.22 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt' )
% 0.81/1.22 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.81/1.22 ), 'tc_Arrow__Order__Mirabelle_Oalt' ), =( X, Y ) ],
% 0.81/1.22 [ ~( =( 'v_a____', 'v_b____' ) ) ],
% 0.81/1.22 [ ~( 'v_thesis____' ) ],
% 0.81/1.22 [ 'v_thesis____', ~( 'c_List_Odistinct'( 'c_List_Olist_OCons'( 'v_a____'
% 0.81/1.22 , 'c_List_Olist_OCons'( 'v_b____', 'c_List_Olist_OCons'( X,
% 0.81/1.22 'c_List_Olist_ONil'( 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.81/1.22 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt' )
% 0.81/1.22 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.81/1.22 ) ) ],
% 0.81/1.22 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.81/1.22 ],
% 0.81/1.22 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.81/1.22 ) ],
% 0.81/1.22 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 0.81/1.22 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.81/1.22 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.81/1.22 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.81/1.22 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.81/1.22 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.81/1.22 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.81/1.22 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.81/1.22 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.81/1.22 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.81/1.22 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 0.81/1.22 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.81/1.22 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.81/1.22 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.81/1.22 [ 'class_Divides_Osemiring__div'( 'tc_nat' ) ],
% 0.81/1.22 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.81/1.22 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.81/1.22 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.81/1.22 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 0.81/1.22 [ 'class_Int_Onumber'( 'tc_nat' ) ],
% 0.81/1.22 [ 'class_HOL_Oord'( 'tc_nat' ) ],
% 0.81/1.22 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 0.81/1.22 'tc_Int_Oint' ) ],
% 0.81/1.22 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.81/1.22 'tc_Int_Oint' ) ],
% 0.81/1.22 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 'tc_Int_Oint' )
% 0.81/1.22 ],
% 0.81/1.22 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_Int_Oint' ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 0.81/1.22 ,
% 0.81/1.22 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 0.81/1.22 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 0.81/1.22 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Int_Oint' ) ],
% 0.81/1.22 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Int_Oint' ) ],
% 0.81/1.22 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Int_Oint' ) ],
% 0.81/1.22 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Int_Oint' ) ],
% 0.81/1.22 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Int_Oint' ) ],
% 0.81/1.22 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Int_Oint' ) ],
% 0.81/1.22 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Int_Oint' ) ],
% 0.81/1.22 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint' ) ],
% 0.81/1.22 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Int_Oint' ) ],
% 0.81/1.22 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ],
% 0.81/1.22 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Int_Oint' ) ],
% 0.81/1.22 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Int_Oint' ) ],
% 0.81/1.22 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Int_Oint' ) ],
% 0.81/1.22 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Int_Oint' ) ],
% 0.81/1.22 [ 'class_Divides_Osemiring__div'( 'tc_Int_Oint' ) ],
% 0.81/1.22 [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ],
% 0.81/1.22 [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ],
% 0.81/1.22 [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ],
% 0.81/1.22 [ 'class_Divides_Oring__div'( 'tc_Int_Oint' ) ],
% 0.81/1.22 [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ],
% 0.81/1.22 [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ],
% 0.81/1.22 [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ],
% 0.81/1.22 [ 'class_Power_Opower'( 'tc_Int_Oint' ) ],
% 0.81/1.22 [ 'class_Int_Onumber'( 'tc_Int_Oint' ) ],
% 0.81/1.22 [ 'class_HOL_Oord'( 'tc_Int_Oint' ) ]
% 0.81/1.22 ] .
% 0.81/1.22
% 0.81/1.22
% 0.81/1.22 percentage equality = 0.418226, percentage horn = 0.871452
% 0.81/1.22 This is a problem with some equality
% 0.81/1.22
% 0.81/1.22
% 0.81/1.22
% 0.81/1.22 Options Used:
% 0.81/1.22
% 0.81/1.22 useres = 1
% 0.81/1.22 useparamod = 1
% 0.81/1.22 useeqrefl = 1
% 0.81/1.22 useeqfact = 1
% 0.81/1.22 usefactor = 1
% 0.81/1.22 usesimpsplitting = 0
% 0.81/1.22 usesimpdemod = 5
% 0.81/1.22 usesimpres = 3
% 0.81/1.22
% 0.81/1.22 resimpinuse = 1000
% 0.81/1.22 resimpclauses = 20000
% 0.81/1.22 substype = eqrewr
% 0.81/1.22 backwardsubs = 1
% 0.81/1.22 selectoldest = 5
% 0.81/1.22
% 0.81/1.22 litorderings [0] = split
% 0.81/1.22 litorderings [1] = extend the termordering, first sorting on arguments
% 0.81/1.22
% 0.81/1.22 termordering = kbo
% 0.81/1.22
% 0.81/1.22 litapriori = 0
% 0.81/1.22 termapriori = 1
% 0.81/1.22 litaposteriori = 0
% 0.81/1.22 termaposteriori = 0
% 0.81/1.22 demodaposteriori = 0
% 0.81/1.22 ordereqreflfact = 0
% 0.81/1.22
% 0.81/1.22 litselect = negord
% 0.81/1.22
% 0.81/1.22 maxweight = 15
% 0.81/1.22 maxdepth = 30000
% 0.81/1.22 maxlength = 115
% 0.81/1.22 maxnrvars = 195
% 0.81/1.22 excuselevel = 1
% 0.81/1.22 increasemaxweight = 1
% 0.81/1.22
% 0.81/1.22 maxselected = 10000000
% 0.81/1.22 maxnrclauses = 10000000
% 0.81/1.22
% 0.81/1.22 showgenerated = 0
% 0.81/1.22 showkept = 0
% 0.81/1.22 showselected = 0
% 0.81/1.22 showdeleted = 0
% 0.81/1.22 showresimp = 1
% 0.81/1.22 showstatus = 2000
% 0.81/1.22
% 0.81/1.22 prologoutput = 1
% 0.81/1.22 nrgoals = 5000000
% 0.81/1.22 totalproof = 1
% 0.81/1.22
% 0.81/1.22 Symbols occurring in the translation:
% 0.81/1.22
% 0.81/1.22 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.81/1.22 . [1, 2] (w:1, o:101, a:1, s:1, b:0),
% 0.81/1.22 ! [4, 1] (w:0, o:58, a:1, s:1, b:0),
% 0.81/1.22 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.81/1.22 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.81/1.22 'class_Ring__and__Field_Oordered__semidom' [40, 1] (w:1, o:65, a:1
% 2.87/3.26 , s:1, b:0),
% 2.87/3.26 'c_Power_Opower__class_Opower' [43, 3] (w:1, o:147, a:1, s:1, b:0),
% 2.87/3.26 'c_HOL_Oord__class_Oless' [45, 3] (w:1, o:148, a:1, s:1, b:0),
% 2.87/3.26 'c_HOL_Oone__class_Oone' [46, 1] (w:1, o:66, a:1, s:1, b:0),
% 2.87/3.26 'c_HOL_Ozero__class_Ozero' [47, 1] (w:1, o:67, a:1, s:1, b:0),
% 2.87/3.26 'tc_nat' [48, 0] (w:1, o:17, a:1, s:1, b:0),
% 2.87/3.26 'c_HOL_Oplus__class_Oplus' [51, 3] (w:1, o:149, a:1, s:1, b:0),
% 2.87/3.26 'c_Suc' [52, 1] (w:1, o:68, a:1, s:1, b:0),
% 2.87/3.26 'class_Orderings_Olinorder' [54, 1] (w:1, o:69, a:1, s:1, b:0),
% 2.87/3.26 'c_Orderings_Oord__class_Omin' [57, 3] (w:1, o:146, a:1, s:1, b:0),
% 2.87/3.26 'c_HOL_Ominus__class_Ominus' [58, 3] (w:1, o:150, a:1, s:1, b:0),
% 2.87/3.26 'class_Orderings_Opreorder' [59, 1] (w:1, o:71, a:1, s:1, b:0),
% 2.87/3.26 'class_Orderings_Oorder' [60, 1] (w:1, o:70, a:1, s:1, b:0),
% 2.87/3.26 'c_Divides_Odiv__class_Omod' [61, 3] (w:1, o:151, a:1, s:1, b:0),
% 2.87/3.26 'c_lessequals' [62, 3] (w:1, o:152, a:1, s:1, b:0),
% 2.87/3.26 'class_OrderedGroup_Opordered__comm__monoid__add' [63, 1] (w:1, o:72
% 2.87/3.26 , a:1, s:1, b:0),
% 2.87/3.26 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [65, 1]
% 2.87/3.26 (w:1, o:73, a:1, s:1, b:0),
% 2.87/3.26 'class_OrderedGroup_Olordered__ab__group__add' [68, 1] (w:1, o:74, a:
% 2.87/3.26 1, s:1, b:0),
% 2.87/3.26 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [69, 1]
% 2.87/3.26 (w:1, o:75, a:1, s:1, b:0),
% 2.87/3.26 'class_OrderedGroup_Ocomm__monoid__add' [70, 1] (w:1, o:76, a:1, s:1
% 2.87/3.26 , b:0),
% 2.87/3.26 'tc_List_Olist' [72, 1] (w:1, o:77, a:1, s:1, b:0),
% 2.87/3.26 'c_Nat_Osize__class_Osize' [73, 2] (w:1, o:126, a:1, s:1, b:0),
% 2.87/3.26 'c_List_Olist_ONil' [74, 1] (w:1, o:78, a:1, s:1, b:0),
% 2.87/3.26 'c_List_Oappend' [76, 3] (w:1, o:153, a:1, s:1, b:0),
% 2.87/3.26 'c_List_Olist__update' [77, 4] (w:1, o:164, a:1, s:1, b:0),
% 2.87/3.26 'c_List_Obutlast' [78, 2] (w:1, o:127, a:1, s:1, b:0),
% 2.87/3.26 'c_List_Otake' [79, 3] (w:1, o:158, a:1, s:1, b:0),
% 2.87/3.26 'c_List_Odrop' [80, 3] (w:1, o:159, a:1, s:1, b:0),
% 2.87/3.26 'c_List_Olast' [81, 2] (w:1, o:128, a:1, s:1, b:0),
% 2.87/3.26 'class_Ring__and__Field_Oordered__idom' [85, 1] (w:1, o:79, a:1, s:1
% 2.87/3.26 , b:0),
% 2.87/3.26 'class_OrderedGroup_Opordered__ab__group__add' [86, 1] (w:1, o:80, a:
% 2.87/3.26 1, s:1, b:0),
% 2.87/3.26 'class_Int_Onumber' [87, 1] (w:1, o:82, a:1, s:1, b:0),
% 2.87/3.26 'c_Int_Onumber__class_Onumber__of' [89, 2] (w:1, o:129, a:1, s:1, b:0
% 2.87/3.26 ),
% 2.87/3.26 'c_List_Orev' [93, 2] (w:1, o:130, a:1, s:1, b:0),
% 2.87/3.26 'class_Ring__and__Field_Oidom' [94, 1] (w:1, o:83, a:1, s:1, b:0),
% 2.87/3.26 'class_Int_Onumber__ring' [95, 1] (w:1, o:84, a:1, s:1, b:0),
% 2.87/3.26 'class_OrderedGroup_Ogroup__add' [96, 1] (w:1, o:85, a:1, s:1, b:0),
% 2.87/3.26
% 2.87/3.26 'class_OrderedGroup_Oab__group__add' [97, 1] (w:1, o:86, a:1, s:1, b:
% 2.87/3.26 0),
% 2.87/3.26 'c_List_Orotate' [98, 3] (w:1, o:160, a:1, s:1, b:0),
% 2.87/3.26 'class_Ring__and__Field_Ocomm__semiring__1' [99, 1] (w:1, o:87, a:1
% 2.87/3.26 , s:1, b:0),
% 2.87/3.26 'class_Divides_Osemiring__div' [100, 1] (w:1, o:89, a:1, s:1, b:0),
% 2.87/3.26 'c_List_Oremdups' [101, 2] (w:1, o:131, a:1, s:1, b:0),
% 2.87/3.26 'class_Ring__and__Field_Osemiring__0' [103, 1] (w:1, o:91, a:1, s:1
% 2.87/3.26 , b:0),
% 2.87/3.26 'class_Power_Opower' [104, 1] (w:1, o:98, a:1, s:1, b:0),
% 2.87/3.26 'c_List_Ohd' [105, 2] (w:1, o:132, a:1, s:1, b:0),
% 2.87/3.26 'c_List_Olist_OCons' [106, 3] (w:1, o:161, a:1, s:1, b:0),
% 2.87/3.26 'class_OrderedGroup_Omonoid__mult' [108, 1] (w:1, o:92, a:1, s:1, b:0
% 2.87/3.26 ),
% 2.87/3.26 'c_List_Orotate1' [111, 2] (w:1, o:133, a:1, s:1, b:0),
% 2.87/3.26 'class_Divides_Oring__div' [112, 1] (w:1, o:88, a:1, s:1, b:0),
% 2.87/3.26 'c_List_Osplice' [113, 3] (w:1, o:157, a:1, s:1, b:0),
% 2.87/3.26 'class_OrderedGroup_Opordered__ab__semigroup__add' [114, 1] (w:1, o:
% 2.87/3.26 93, a:1, s:1, b:0),
% 2.87/3.26 'class_Ring__and__Field_Oring__1__no__zero__divisors' [115, 1] (w:1
% 2.87/3.26 , o:90, a:1, s:1, b:0),
% 2.87/3.26 'class_Ring__and__Field_Ozero__neq__one' [116, 1] (w:1, o:99, a:1, s:
% 2.87/3.26 1, b:0),
% 2.87/3.26 'class_Ring__and__Field_Ono__zero__divisors' [117, 1] (w:1, o:64, a:1
% 2.87/3.26 , s:1, b:0),
% 2.87/3.26 'class_Ring__and__Field_Omult__zero' [118, 1] (w:1, o:63, a:1, s:1
% 2.87/3.26 , b:0),
% 2.87/3.26 'c_List_Oreplicate' [119, 3] (w:1, o:154, a:1, s:1, b:0),
% 2.87/3.26 'class_HOL_Oord' [120, 1] (w:1, o:81, a:1, s:1, b:0),
% 16.55/16.96 'c_List_Otl' [122, 2] (w:1, o:140, a:1, s:1, b:0),
% 16.55/16.96 'class_OrderedGroup_Oab__semigroup__add' [125, 1] (w:1, o:94, a:1, s:
% 16.55/16.96 1, b:0),
% 16.55/16.96 'class_Int_Oring__char__0' [126, 1] (w:1, o:100, a:1, s:1, b:0),
% 16.55/16.96 'class_OrderedGroup_Ocancel__ab__semigroup__add' [127, 1] (w:1, o:95
% 16.55/16.96 , a:1, s:1, b:0),
% 16.55/16.96 'class_OrderedGroup_Ocancel__semigroup__add' [128, 1] (w:1, o:96, a:1
% 16.55/16.96 , s:1, b:0),
% 16.55/16.96 'class_OrderedGroup_Omonoid__add' [129, 1] (w:1, o:97, a:1, s:1, b:0)
% 16.55/16.96 ,
% 16.55/16.96 'c_List_Olinorder__class_Osorted' [131, 2] (w:1, o:141, a:1, s:1, b:0
% 16.55/16.96 ),
% 16.55/16.96 'c_List_Oremove1' [136, 3] (w:1, o:155, a:1, s:1, b:0),
% 16.55/16.96 'c_List_OremoveAll' [137, 3] (w:1, o:156, a:1, s:1, b:0),
% 16.55/16.96 'c_List_Omember' [138, 3] (w:1, o:163, a:1, s:1, b:0),
% 16.55/16.96 'c_List_Onull' [139, 2] (w:1, o:142, a:1, s:1, b:0),
% 16.55/16.96 'c_List_Osko__List__Xappend__eq__Cons__conv__1__1' [140, 5] (w:1, o:
% 16.55/16.96 165, a:1, s:1, b:0),
% 16.55/16.96 'c_List_Osko__List__XCons__eq__append__conv__1__1' [141, 5] (w:1, o:
% 16.55/16.96 166, a:1, s:1, b:0),
% 16.55/16.96 'c_List_Odistinct' [142, 2] (w:1, o:143, a:1, s:1, b:0),
% 16.55/16.96 'c_List_Osko__List__Xlist__Xnchotomy__1__1' [146, 2] (w:1, o:134, a:1
% 16.55/16.96 , s:1, b:0),
% 16.55/16.96 'c_List_Osko__List__Xlist__Xnchotomy__1__2' [147, 2] (w:1, o:135, a:1
% 16.55/16.96 , s:1, b:0),
% 16.55/16.96 'c_List_Osko__List__Xlist__Xexhaust__1__1' [148, 2] (w:1, o:136, a:1
% 16.55/16.96 , s:1, b:0),
% 16.55/16.96 'c_List_Osko__List__Xlist__Xexhaust__1__2' [149, 2] (w:1, o:137, a:1
% 16.55/16.96 , s:1, b:0),
% 16.55/16.96 'c_List_Osko__List__Xneq__Nil__conv__1__1' [150, 2] (w:1, o:138, a:1
% 16.55/16.96 , s:1, b:0),
% 16.55/16.96 'c_List_Osko__List__Xneq__Nil__conv__1__2' [151, 2] (w:1, o:139, a:1
% 16.55/16.96 , s:1, b:0),
% 16.55/16.96 'c_List_Olist__inter' [154, 3] (w:1, o:162, a:1, s:1, b:0),
% 16.55/16.96 'v_sko__Arrow__Order__Mirabelle__Xalt3__1' [155, 0] (w:1, o:50, a:1
% 16.55/16.96 , s:1, b:0),
% 16.55/16.96 'v_sko__Arrow__Order__Mirabelle__Xalt3__2' [156, 0] (w:1, o:51, a:1
% 16.55/16.96 , s:1, b:0),
% 16.55/16.96 'v_sko__Arrow__Order__Mirabelle__Xalt3__3' [157, 0] (w:1, o:52, a:1
% 16.55/16.96 , s:1, b:0),
% 16.55/16.96 'tc_Arrow__Order__Mirabelle_Oalt' [158, 0] (w:1, o:53, a:1, s:1, b:0)
% 16.55/16.96 ,
% 16.55/16.96 'v_sko__Arrow__Order__Mirabelle__Xthird__alt__1' [159, 2] (w:1, o:144
% 16.55/16.96 , a:1, s:1, b:0),
% 16.55/16.96 'v_thesis____' [161, 0] (w:1, o:54, a:1, s:1, b:0),
% 16.55/16.96 'v_a____' [162, 0] (w:1, o:55, a:1, s:1, b:0),
% 16.55/16.96 'v_b____' [163, 0] (w:1, o:56, a:1, s:1, b:0),
% 16.55/16.96 'v_sko__CHAINED__1' [165, 2] (w:1, o:145, a:1, s:1, b:0),
% 16.55/16.96 'tc_Int_Oint' [166, 0] (w:1, o:57, a:1, s:1, b:0).
% 16.55/16.96
% 16.55/16.96
% 16.55/16.96 Starting Search:
% 16.55/16.96
% 16.55/16.96 Resimplifying inuse:
% 16.55/16.96 Done
% 16.55/16.96
% 16.55/16.96
% 16.55/16.96 Intermediate Status:
% 16.55/16.96 Generated: 3944
% 16.55/16.96 Kept: 2007
% 16.55/16.96 Inuse: 201
% 16.55/16.96 Deleted: 5
% 16.55/16.96 Deletedinuse: 0
% 16.55/16.96
% 16.55/16.96 Resimplifying inuse:
% 16.55/16.96 Done
% 16.55/16.96
% 16.55/16.96 Resimplifying inuse:
% 16.55/16.96 Done
% 16.55/16.96
% 16.55/16.96
% 16.55/16.96 Intermediate Status:
% 16.55/16.96 Generated: 9547
% 16.55/16.96 Kept: 4438
% 16.55/16.96 Inuse: 309
% 16.55/16.96 Deleted: 12
% 16.55/16.96 Deletedinuse: 5
% 16.55/16.96
% 16.55/16.96 Resimplifying inuse:
% 16.55/16.96 Done
% 16.55/16.96
% 16.55/16.96 Resimplifying inuse:
% 16.55/16.96 Done
% 16.55/16.96
% 16.55/16.96
% 16.55/16.96 Intermediate Status:
% 16.55/16.96 Generated: 19577
% 16.55/16.96 Kept: 6477
% 16.55/16.96 Inuse: 378
% 16.55/16.96 Deleted: 15
% 16.55/16.96 Deletedinuse: 7
% 16.55/16.96
% 16.55/16.96 Resimplifying inuse:
% 16.55/16.96 Done
% 16.55/16.96
% 16.55/16.96 Resimplifying inuse:
% 16.55/16.96 Done
% 16.55/16.96
% 16.55/16.96
% 16.55/16.96 Intermediate Status:
% 16.55/16.96 Generated: 27612
% 16.55/16.96 Kept: 8568
% 16.55/16.96 Inuse: 411
% 16.55/16.96 Deleted: 15
% 16.55/16.96 Deletedinuse: 7
% 16.55/16.96
% 16.55/16.96 Resimplifying inuse:
% 16.55/16.96 Done
% 16.55/16.96
% 16.55/16.96 Resimplifying inuse:
% 16.55/16.96 Done
% 16.55/16.96
% 16.55/16.96
% 16.55/16.96 Intermediate Status:
% 16.55/16.96 Generated: 34528
% 16.55/16.96 Kept: 10656
% 16.55/16.96 Inuse: 473
% 16.55/16.96 Deleted: 17
% 16.55/16.96 Deletedinuse: 9
% 16.55/16.96
% 16.55/16.96 Resimplifying inuse:
% 16.55/16.96 Done
% 16.55/16.96
% 16.55/16.96 Resimplifying inuse:
% 16.55/16.96 Done
% 16.55/16.96
% 16.55/16.96
% 16.55/16.96 Intermediate Status:
% 16.55/16.96 Generated: 45339
% 16.55/16.96 Kept: 13329
% 16.55/16.96 Inuse: 525
% 16.55/16.96 Deleted: 20
% 16.55/16.96 Deletedinuse: 9
% 16.55/16.96
% 16.55/16.96 Resimplifying inuse:
% 16.55/16.96 Done
% 16.55/16.96
% 16.55/16.96 Resimplifying inuse:
% 16.55/16.96 Done
% 16.55/16.96
% 16.55/16.96
% 16.55/16.96 Intermediate Status:
% 16.55/16.96 Generated: 58062
% 16.55/16.96 Kept: 15369
% 16.55/16.96 Inuse: 570
% 16.55/16.96 Deleted: 21
% 16.55/16.96 Deletedinuse: 10
% 16.55/16.96
% 16.55/16.96 Resimplifying inuse:
% 16.55/16.96 Done
% 16.55/16.96
% 16.55/16.96 Resimplifying inuse:
% 16.55/16.96 Done
% 16.55/16.96
% 16.55/16.96
% 16.55/16.96 Intermediate Status:
% 16.55/16.96 Generated: 67293
% 16.55/16.96 Kept: 17557
% 16.55/16.96 Inuse: 630
% 16.55/16.96 Deleted: 23
% 16.55/16.96 Deletedinuse: 12
% 16.55/16.96
% 16.55/16.96 Resimplifying inuse:
% 16.55/16.96 Done
% 16.55/16.96
% 16.55/16.96 Resimplifying inuse:
% 16.55/16.96 Done
% 16.55/16.96
% 16.55/16.96
% 16.55/16.96 Intermediate Status:
% 16.55/16.96 Generated: 78461
% 16.55/16.96 Kept: 19600
% 16.55/16.96 Inuse: 705
% 16.55/16.96 Deleted: 25
% 16.55/16.96 Deletedinuse: 14
% 16.55/16.96
% 16.55/16.96 Resimplifying inuse:
% 16.55/16.96 Done
% 16.55/16.96
% 16.55/16.96 Resimplifying clauses:
% 16.55/16.96 Done
% 16.55/16.96
% 16.55/16.96 Resimplifying inuse:
% 16.55/16.96 Done
% 16.55/16.96
% 16.55/16.96
% 16.55/16.96 Intermediate Status:
% 16.55/16.96 Generated: 92072
% 16.55/16.96 Kept: 21713
% 49.45/49.84 Inuse: 745
% 49.45/49.84 Deleted: 760
% 49.45/49.84 Deletedinuse: 14
% 49.45/49.84
% 49.45/49.84 Resimplifying inuse:
% 49.45/49.84 Done
% 49.45/49.84
% 49.45/49.84 Resimplifying inuse:
% 49.45/49.84 Done
% 49.45/49.84
% 49.45/49.84
% 49.45/49.84 Intermediate Status:
% 49.45/49.84 Generated: 102839
% 49.45/49.84 Kept: 24114
% 49.45/49.84 Inuse: 760
% 49.45/49.84 Deleted: 760
% 49.45/49.84 Deletedinuse: 14
% 49.45/49.84
% 49.45/49.84 Resimplifying inuse:
% 49.45/49.84 Done
% 49.45/49.84
% 49.45/49.84 Resimplifying inuse:
% 49.45/49.84 Done
% 49.45/49.84
% 49.45/49.84
% 49.45/49.84 Intermediate Status:
% 49.45/49.84 Generated: 116311
% 49.45/49.84 Kept: 26142
% 49.45/49.84 Inuse: 805
% 49.45/49.84 Deleted: 760
% 49.45/49.84 Deletedinuse: 14
% 49.45/49.84
% 49.45/49.84 Resimplifying inuse:
% 49.45/49.84 Done
% 49.45/49.84
% 49.45/49.84 Resimplifying inuse:
% 49.45/49.84 Done
% 49.45/49.84
% 49.45/49.84
% 49.45/49.84 Intermediate Status:
% 49.45/49.84 Generated: 135462
% 49.45/49.84 Kept: 28158
% 49.45/49.84 Inuse: 835
% 49.45/49.84 Deleted: 760
% 49.45/49.84 Deletedinuse: 14
% 49.45/49.84
% 49.45/49.84 Resimplifying inuse:
% 49.45/49.84 Done
% 49.45/49.84
% 49.45/49.84 Resimplifying inuse:
% 49.45/49.84 Done
% 49.45/49.84
% 49.45/49.84
% 49.45/49.84 Intermediate Status:
% 49.45/49.84 Generated: 147246
% 49.45/49.84 Kept: 30159
% 49.45/49.84 Inuse: 881
% 49.45/49.84 Deleted: 760
% 49.45/49.84 Deletedinuse: 14
% 49.45/49.84
% 49.45/49.84 Resimplifying inuse:
% 49.45/49.84 Done
% 49.45/49.84
% 49.45/49.84
% 49.45/49.84 Intermediate Status:
% 49.45/49.84 Generated: 156597
% 49.45/49.84 Kept: 32386
% 49.45/49.84 Inuse: 891
% 49.45/49.84 Deleted: 760
% 49.45/49.84 Deletedinuse: 14
% 49.45/49.84
% 49.45/49.84 Resimplifying inuse:
% 49.45/49.84 Done
% 49.45/49.84
% 49.45/49.84 Resimplifying inuse:
% 49.45/49.84 Done
% 49.45/49.84
% 49.45/49.84
% 49.45/49.84 Intermediate Status:
% 49.45/49.84 Generated: 169606
% 49.45/49.84 Kept: 34629
% 49.45/49.84 Inuse: 940
% 49.45/49.84 Deleted: 760
% 49.45/49.84 Deletedinuse: 14
% 49.45/49.84
% 49.45/49.84 Resimplifying inuse:
% 49.45/49.84 Done
% 49.45/49.84
% 49.45/49.84 Resimplifying inuse:
% 49.45/49.84 Done
% 49.45/49.84
% 49.45/49.84
% 49.45/49.84 Intermediate Status:
% 49.45/49.84 Generated: 183277
% 49.45/49.84 Kept: 36631
% 49.45/49.84 Inuse: 995
% 49.45/49.84 Deleted: 762
% 49.45/49.84 Deletedinuse: 15
% 49.45/49.84
% 49.45/49.84 Resimplifying inuse:
% 49.45/49.84 Done
% 49.45/49.84
% 49.45/49.84 Resimplifying inuse:
% 49.45/49.84 Done
% 49.45/49.84
% 49.45/49.84
% 49.45/49.84 Intermediate Status:
% 49.45/49.84 Generated: 195437
% 49.45/49.84 Kept: 38694
% 49.45/49.84 Inuse: 1024
% 49.45/49.84 Deleted: 762
% 49.45/49.84 Deletedinuse: 15
% 49.45/49.84
% 49.45/49.84 Resimplifying inuse:
% 49.45/49.84 Done
% 49.45/49.84
% 49.45/49.84 Resimplifying inuse:
% 49.45/49.84 Done
% 49.45/49.84
% 49.45/49.84 Resimplifying clauses:
% 49.45/49.84 Done
% 49.45/49.84
% 49.45/49.84
% 49.45/49.84 Intermediate Status:
% 49.45/49.84 Generated: 211211
% 49.45/49.84 Kept: 40708
% 49.45/49.84 Inuse: 1046
% 49.45/49.84 Deleted: 1294
% 49.45/49.84 Deletedinuse: 15
% 49.45/49.84
% 49.45/49.84 Resimplifying inuse:
% 49.45/49.84 Done
% 49.45/49.84
% 49.45/49.84
% 49.45/49.84 Intermediate Status:
% 49.45/49.84 Generated: 224244
% 49.45/49.84 Kept: 43261
% 49.45/49.84 Inuse: 1064
% 49.45/49.84 Deleted: 1294
% 49.45/49.84 Deletedinuse: 15
% 49.45/49.84
% 49.45/49.84 Resimplifying inuse:
% 49.45/49.84 Done
% 49.45/49.84
% 49.45/49.84
% 49.45/49.84 Intermediate Status:
% 49.45/49.84 Generated: 233835
% 49.45/49.84 Kept: 45275
% 49.45/49.84 Inuse: 1089
% 49.45/49.84 Deleted: 1294
% 49.45/49.84 Deletedinuse: 15
% 49.45/49.84
% 49.45/49.84 Resimplifying inuse:
% 49.45/49.84 Done
% 49.45/49.84
% 49.45/49.84 Resimplifying inuse:
% 49.45/49.84 Done
% 49.45/49.84
% 49.45/49.84
% 49.45/49.84 Intermediate Status:
% 49.45/49.84 Generated: 242421
% 49.45/49.84 Kept: 47286
% 49.45/49.84 Inuse: 1113
% 49.45/49.84 Deleted: 1294
% 49.45/49.84 Deletedinuse: 15
% 49.45/49.84
% 49.45/49.84 Resimplifying inuse:
% 49.45/49.84 Done
% 49.45/49.84
% 49.45/49.84 Resimplifying inuse:
% 49.45/49.84 Done
% 49.45/49.84
% 49.45/49.84
% 49.45/49.84 Intermediate Status:
% 49.45/49.84 Generated: 253258
% 49.45/49.84 Kept: 49312
% 49.45/49.84 Inuse: 1162
% 49.45/49.84 Deleted: 1301
% 49.45/49.84 Deletedinuse: 15
% 49.45/49.84
% 49.45/49.84 Resimplifying inuse:
% 49.45/49.84 Done
% 49.45/49.84
% 49.45/49.84 Resimplifying inuse:
% 49.45/49.84 Done
% 49.45/49.84
% 49.45/49.84
% 49.45/49.84 Intermediate Status:
% 49.45/49.84 Generated: 263357
% 49.45/49.84 Kept: 51324
% 49.45/49.84 Inuse: 1185
% 49.45/49.84 Deleted: 1302
% 49.45/49.84 Deletedinuse: 16
% 49.45/49.84
% 49.45/49.84 Resimplifying inuse:
% 49.45/49.84 Done
% 49.45/49.84
% 49.45/49.84
% 49.45/49.84 Intermediate Status:
% 49.45/49.84 Generated: 278544
% 49.45/49.84 Kept: 53454
% 49.45/49.84 Inuse: 1227
% 49.45/49.84 Deleted: 1302
% 49.45/49.84 Deletedinuse: 16
% 49.45/49.84
% 49.45/49.84 Resimplifying inuse:
% 49.45/49.84 Done
% 49.45/49.84
% 49.45/49.84 Resimplifying inuse:
% 49.45/49.84 Done
% 49.45/49.84
% 49.45/49.84
% 49.45/49.84 Intermediate Status:
% 49.45/49.84 Generated: 298398
% 49.45/49.84 Kept: 56264
% 49.45/49.84 Inuse: 1273
% 49.45/49.84 Deleted: 1327
% 49.45/49.84 Deletedinuse: 32
% 49.45/49.84
% 49.45/49.84 Resimplifying inuse:
% 49.45/49.84 Done
% 49.45/49.84
% 49.45/49.84 Resimplifying inuse:
% 49.45/49.84 Done
% 49.45/49.84
% 49.45/49.84
% 49.45/49.84 Intermediate Status:
% 49.45/49.84 Generated: 339430
% 49.45/49.84 Kept: 58264
% 49.45/49.84 Inuse: 1304
% 49.45/49.84 Deleted: 1330
% 49.45/49.84 Deletedinuse: 33
% 49.45/49.84
% 49.45/49.84 Resimplifying inuse:
% 49.45/49.84 Done
% 49.45/49.84
% 49.45/49.84
% 49.45/49.84 Intermediate Status:
% 49.45/49.84 Generated: 366312
% 49.45/49.84 Kept: 62072
% 49.45/49.84 Inuse: 1311
% 49.45/49.84 Deleted: 1331
% 49.45/49.84 Deletedinuse: 34
% 49.45/49.84
% 49.45/49.84 Resimplifying inuse:
% 49.45/49.84 Done
% 49.45/49.84
% 49.45/49.84 Resimplifying clauses:
% 49.45/49.84 Done
% 49.45/49.84
% 49.45/49.84 Resimplifying inuse:
% 49.45/49.84 Done
% 49.45/49.84
% 49.45/49.84
% 49.45/49.84 Intermediate Status:
% 49.45/49.84 Generated: 379618
% 49.45/49.84 Kept: 64096
% 49.45/49.84 Inuse: 1319
% 49.45/49.84 Deleted: 2916
% 49.45/49.84 Deletedinuse: 284
% 49.45/49.84
% 49.45/49.84 Resimplifying inuse:
% 49.45/49.84 Done
% 49.45/49.84
% 49.45/49.84
% 49.45/49.84 Intermediate Status:
% 49.45/49.84 Generated: 398759
% 49.45/49.84 Kept: 67435
% 49.45/49.84 Inuse: 1331
% 49.45/49.84 Deleted: 2916
% 49.45/49.84 Deletedinuse: 284
% 49.45/49.84
% 49.45/49.84 Resimplifying inuse:
% 49.45/49.84 Done
% 49.45/49.84
% 49.45/49.84 Resimplifying inuse:
% 49.45/49.84 Done
% 49.45/49.84
% 49.45/49.84
% 49.45/49.84 Intermediate Status:
% 49.45/49.84 Generated: 425985
% 49.45/49.84 Kept: 70123
% 49.45/49.84 Inuse: 1346
% 49.45/49.84 Deleted: 2916
% 49.45/49.84 Deletedinuse: 284
% 49.45/49.84
% 49.45/49.84 Resimplifying inuse:
% 49.45/49.84 Done
% 49.45/49.84
% 49.45/49.84 Resimplifying inuse:
% 49.45/49.84 Done
% 49.45/49.84
% 49.45/49.84
% 49.45/49.84 Intermediate Status:
% 49.45/49.84 Generated: 439726
% 49.45/49.84 Kept: 72132
% 49.45/49.84 Inuse: 1371
% 49.45/49.84 Deleted: 2916
% 49.45/49.84 Deletedinuse: 284
% 49.45/49.84
% 49.45/49.84 Resimplifying inuse:
% 49.45/49.84 Done
% 49.45/49.84
% 49.45/49.84 Resimplifying inuse:
% 49.45/49.84 Done
% 49.45/49.84
% 49.45/49.84
% 49.45/49.84 Intermediate Status:
% 49.45/49.84 Generated: 457396
% 49.45/49.84 Kept: 74197
% 49.45/49.84 Inuse: 1401
% 49.45/49.84 Deleted: 2917
% 49.45/49.84 Deletedinuse: 285
% 49.45/49.84
% 49.45/49.84 Resimplifying inuse:
% 49.45/49.84 Done
% 49.45/49.84
% 49.45/49.84 Resimplifying inuse:
% 49.45/49.84 Done
% 49.45/49.84
% 49.45/49.84
% 49.45/49.84 Intermediate Status:
% 49.45/49.84 Generated: 470942
% 49.45/49.84 Kept: 76383
% 49.45/49.84 Inuse: 1451
% 49.45/49.84 Deleted: 2917
% 49.45/49.84 Deletedinuse: 285
% 73.10/73.51
% 73.10/73.51 Resimplifying inuse:
% 73.10/73.51 Done
% 73.10/73.51
% 73.10/73.51 Resimplifying inuse:
% 73.10/73.51 Done
% 73.10/73.51
% 73.10/73.51
% 73.10/73.51 Intermediate Status:
% 73.10/73.51 Generated: 481633
% 73.10/73.51 Kept: 78394
% 73.10/73.51 Inuse: 1475
% 73.10/73.51 Deleted: 2917
% 73.10/73.51 Deletedinuse: 285
% 73.10/73.51
% 73.10/73.51 Resimplifying inuse:
% 73.10/73.51 Done
% 73.10/73.51
% 73.10/73.51
% 73.10/73.51 Intermediate Status:
% 73.10/73.51 Generated: 500693
% 73.10/73.51 Kept: 81111
% 73.10/73.51 Inuse: 1491
% 73.10/73.51 Deleted: 2917
% 73.10/73.51 Deletedinuse: 285
% 73.10/73.51
% 73.10/73.51 Resimplifying inuse:
% 73.10/73.51 Done
% 73.10/73.51
% 73.10/73.51 Resimplifying inuse:
% 73.10/73.51 Done
% 73.10/73.51
% 73.10/73.51 Resimplifying clauses:
% 73.10/73.51 Done
% 73.10/73.51
% 73.10/73.51
% 73.10/73.51 Intermediate Status:
% 73.10/73.51 Generated: 511969
% 73.10/73.51 Kept: 83151
% 73.10/73.51 Inuse: 1506
% 73.10/73.51 Deleted: 12409
% 73.10/73.51 Deletedinuse: 285
% 73.10/73.51
% 73.10/73.51 Resimplifying inuse:
% 73.10/73.51 Done
% 73.10/73.51
% 73.10/73.51 Resimplifying inuse:
% 73.10/73.51 Done
% 73.10/73.51
% 73.10/73.51
% 73.10/73.51 Intermediate Status:
% 73.10/73.51 Generated: 526460
% 73.10/73.51 Kept: 85162
% 73.10/73.51 Inuse: 1534
% 73.10/73.51 Deleted: 12409
% 73.10/73.51 Deletedinuse: 285
% 73.10/73.51
% 73.10/73.51 Resimplifying inuse:
% 73.10/73.51 Done
% 73.10/73.51
% 73.10/73.51
% 73.10/73.51 Intermediate Status:
% 73.10/73.51 Generated: 542298
% 73.10/73.51 Kept: 87557
% 73.10/73.51 Inuse: 1546
% 73.10/73.51 Deleted: 12409
% 73.10/73.51 Deletedinuse: 285
% 73.10/73.51
% 73.10/73.51 Resimplifying inuse:
% 73.10/73.51 Done
% 73.10/73.51
% 73.10/73.51 Resimplifying inuse:
% 73.10/73.51 Done
% 73.10/73.51
% 73.10/73.51
% 73.10/73.51 Intermediate Status:
% 73.10/73.51 Generated: 560228
% 73.10/73.51 Kept: 89915
% 73.10/73.51 Inuse: 1556
% 73.10/73.51 Deleted: 12409
% 73.10/73.51 Deletedinuse: 285
% 73.10/73.51
% 73.10/73.51 Resimplifying inuse:
% 73.10/73.51 Done
% 73.10/73.51
% 73.10/73.51
% 73.10/73.51 Intermediate Status:
% 73.10/73.51 Generated: 576638
% 73.10/73.51 Kept: 92048
% 73.10/73.51 Inuse: 1576
% 73.10/73.51 Deleted: 12409
% 73.10/73.51 Deletedinuse: 285
% 73.10/73.51
% 73.10/73.51 Resimplifying inuse:
% 73.10/73.51 Done
% 73.10/73.51
% 73.10/73.51 Resimplifying inuse:
% 73.10/73.51 Done
% 73.10/73.51
% 73.10/73.51
% 73.10/73.51 Intermediate Status:
% 73.10/73.51 Generated: 600407
% 73.10/73.51 Kept: 96128
% 73.10/73.51 Inuse: 1584
% 73.10/73.51 Deleted: 12409
% 73.10/73.51 Deletedinuse: 285
% 73.10/73.51
% 73.10/73.51 Resimplifying inuse:
% 73.10/73.51 Done
% 73.10/73.51
% 73.10/73.51
% 73.10/73.51 Intermediate Status:
% 73.10/73.51 Generated: 614436
% 73.10/73.51 Kept: 98273
% 73.10/73.51 Inuse: 1601
% 73.10/73.51 Deleted: 12409
% 73.10/73.51 Deletedinuse: 285
% 73.10/73.51
% 73.10/73.51 Resimplifying inuse:
% 73.10/73.51 Done
% 73.10/73.51
% 73.10/73.51
% 73.10/73.51 Intermediate Status:
% 73.10/73.51 Generated: 645091
% 73.10/73.51 Kept: 101050
% 73.10/73.51 Inuse: 1611
% 73.10/73.51 Deleted: 12409
% 73.10/73.51 Deletedinuse: 285
% 73.10/73.51
% 73.10/73.51 Resimplifying inuse:
% 73.10/73.51 Done
% 73.10/73.51
% 73.10/73.51
% 73.10/73.51 Intermediate Status:
% 73.10/73.51 Generated: 656372
% 73.10/73.51 Kept: 103236
% 73.10/73.51 Inuse: 1621
% 73.10/73.51 Deleted: 12409
% 73.10/73.51 Deletedinuse: 285
% 73.10/73.51
% 73.10/73.51 Resimplifying inuse:
% 73.10/73.51 Done
% 73.10/73.51
% 73.10/73.51 Resimplifying clauses:
% 73.10/73.51 Done
% 73.10/73.51
% 73.10/73.51
% 73.10/73.51 Intermediate Status:
% 73.10/73.51 Generated: 671179
% 73.10/73.51 Kept: 108849
% 73.10/73.51 Inuse: 1635
% 73.10/73.51 Deleted: 12627
% 73.10/73.51 Deletedinuse: 285
% 73.10/73.51
% 73.10/73.51 Resimplifying inuse:
% 73.10/73.51 Done
% 73.10/73.51
% 73.10/73.51 Resimplifying inuse:
% 73.10/73.51 Done
% 73.10/73.51
% 73.10/73.51
% 73.10/73.51 Intermediate Status:
% 73.10/73.51 Generated: 690252
% 73.10/73.51 Kept: 110874
% 73.10/73.51 Inuse: 1640
% 73.10/73.51 Deleted: 12628
% 73.10/73.51 Deletedinuse: 286
% 73.10/73.51
% 73.10/73.51 Resimplifying inuse:
% 73.10/73.51 Done
% 73.10/73.51
% 73.10/73.51
% 73.10/73.51 Intermediate Status:
% 73.10/73.51 Generated: 704998
% 73.10/73.51 Kept: 113170
% 73.10/73.51 Inuse: 1651
% 73.10/73.51 Deleted: 12628
% 73.10/73.51 Deletedinuse: 286
% 73.10/73.51
% 73.10/73.51 Resimplifying inuse:
% 73.10/73.51 Done
% 73.10/73.51
% 73.10/73.51
% 73.10/73.51 Intermediate Status:
% 73.10/73.51 Generated: 718209
% 73.10/73.51 Kept: 115179
% 73.10/73.51 Inuse: 1661
% 73.10/73.51 Deleted: 12629
% 73.10/73.51 Deletedinuse: 287
% 73.10/73.51
% 73.10/73.51 Resimplifying inuse:
% 73.10/73.51 Done
% 73.10/73.51
% 73.10/73.51 Resimplifying inuse:
% 73.10/73.51 Done
% 73.10/73.51
% 73.10/73.51
% 73.10/73.51 Intermediate Status:
% 73.10/73.51 Generated: 742735
% 73.10/73.51 Kept: 118076
% 73.10/73.51 Inuse: 1671
% 73.10/73.51 Deleted: 12629
% 73.10/73.51 Deletedinuse: 287
% 73.10/73.51
% 73.10/73.51 Resimplifying inuse:
% 73.10/73.51 Done
% 73.10/73.51
% 73.10/73.51 Resimplifying inuse:
% 73.10/73.51 Done
% 73.10/73.51
% 73.10/73.51
% 73.10/73.51 Intermediate Status:
% 73.10/73.51 Generated: 760535
% 73.10/73.51 Kept: 120751
% 73.10/73.51 Inuse: 1696
% 73.10/73.51 Deleted: 12629
% 73.10/73.51 Deletedinuse: 287
% 73.10/73.51
% 73.10/73.51 Resimplifying inuse:
% 73.10/73.51 Done
% 73.10/73.51
% 73.10/73.51
% 73.10/73.51 Intermediate Status:
% 73.10/73.51 Generated: 778677
% 73.10/73.51 Kept: 124394
% 73.10/73.51 Inuse: 1711
% 73.10/73.51 Deleted: 12629
% 73.10/73.51 Deletedinuse: 287
% 73.10/73.51
% 73.10/73.51 Resimplifying inuse:
% 73.10/73.51 Done
% 73.10/73.51
% 73.10/73.51 Resimplifying clauses:
% 73.10/73.51 Done
% 73.10/73.51
% 73.10/73.51 Resimplifying inuse:
% 73.10/73.51 Done
% 73.10/73.51
% 73.10/73.51
% 73.10/73.51 Intermediate Status:
% 73.10/73.51 Generated: 793598
% 73.10/73.51 Kept: 126999
% 73.10/73.51 Inuse: 1721
% 73.10/73.51 Deleted: 12810
% 73.10/73.51 Deletedinuse: 287
% 73.10/73.51
% 73.10/73.51 Resimplifying inuse:
% 73.10/73.51 Done
% 73.10/73.51
% 73.10/73.51 Resimplifying inuse:
% 73.10/73.51 Done
% 73.10/73.51
% 73.10/73.51
% 73.10/73.51 Intermediate Status:
% 73.10/73.51 Generated: 818066
% 73.10/73.51 Kept: 129750
% 73.10/73.51 Inuse: 1751
% 73.10/73.51 Deleted: 12812
% 73.10/73.51 Deletedinuse: 289
% 73.10/73.51
% 73.10/73.51 Resimplifying inuse:
% 73.10/73.51 Done
% 73.10/73.51
% 73.10/73.51 Resimplifying inuse:
% 73.10/73.51 Done
% 73.10/73.51
% 73.10/73.51
% 73.10/73.51 Intermediate Status:
% 73.10/73.51 Generated: 838909
% 73.10/73.51 Kept: 132818
% 73.10/73.51 Inuse: 1781
% 73.10/73.51 Deleted: 12815
% 73.10/73.51 Deletedinuse: 292
% 73.10/73.51
% 73.10/73.51 Resimplifying inuse:
% 73.10/73.51 Done
% 73.10/73.51
% 73.10/73.51 Resimplifying inuse:
% 73.10/73.51 Done
% 73.10/73.51
% 73.10/73.51
% 73.10/73.51 Intermediate Status:
% 73.10/73.51 Generated: 854405
% 73.10/73.51 Kept: 135221
% 73.10/73.51 Inuse: 1791
% 73.10/73.51 Deleted: 12816
% 73.10/73.51 Deletedinuse: 293
% 73.10/73.51
% 73.10/73.51 Resimplifying inuse:
% 73.10/73.51 Done
% 73.10/73.51
% 73.10/73.51 Resimplifying inuse:
% 73.10/73.51 Done
% 73.10/73.51
% 73.10/73.51
% 73.10/73.51 Intermediate Status:
% 73.10/73.51 Generated: 873562
% 73.10/73.51 Kept: 138055
% 73.10/73.51 Inuse: 1810
% 73.10/73.51 Deleted: 12819
% 73.10/73.51 Deletedinuse: 295
% 73.10/73.51
% 73.10/73.51 Resimplifying inuse:
% 73.10/73.51 Done
% 73.10/73.51
% 73.10/73.51
% 73.10/73.51 Intermediate Status:
% 73.10/73.51 Generated: 886909
% 73.10/73.51 Kept: 141946
% 73.10/73.51 Inuse: 1825
% 73.10/73.51 Deleted: 12821
% 73.10/73.51 Deletedinuse: 297
% 73.10/73.51
% 73.10/73.51 Resimplifying inuse:
% 73.10/73.51 Done
% 73.10/73.51
% 73.10/73.51
% 73.10/73.51 Intermediate Status:
% 73.10/73.51 Generated: 895136
% 73.10/73.51 Kept: 145360
% 73.10/73.51 Inuse: 1830
% 73.10/73.51 Deleted: 12821
% 73.10/73.51 Deletedinuse: 297
% 73.10/73.51
% 73.10/73.51 Resimplifying inuse:
% 73.10/73.51 Done
% 73.10/73.51
% 73.10/73.51 Resimplifying clauses:
% 73.10/73.51 Done
% 73.10/73.51
% 73.10/73.51
% 73.10/73.51 Intermediate Status:
% 73.10/73.51 Generated: 903769
% 73.10/73.51 Kept: 148788
% 73.10/73.51 Inuse: 1835
% 73.10/73.51 Deleted: 13843
% 73.10/73.51 Deletedinuse: 297
% 73.10/73.51
% 73.10/73.51 Resimplifying inuse:
% 73.10/73.51 Done
% 73.10/73.51
% 73.10/73.51 Resimplifying inuse:
% 73.10/73.51 Done
% 73.10/73.51
% 73.10/73.51
% 73.10/73.51 Intermediate Status:
% 73.10/73.51 Generated: 911458
% 73.10/73.51 Kept: 150798
% 73.10/73.51 Inuse: 1841
% 73.10/73.51 Deleted: 13843
% 73.10/73.51 Deletedinuse: 297
% 73.10/73.51
% 73.10/73.51
% 73.10/73.51 Intermediate Status:
% 73.10/73.51 Generated: 919411
% 73.10/73.51 Kept: 154640
% 73.10/73.51 Inuse: 1845
% 73.10/73.51 Deleted: 13843
% 73.10/73.51 Deletedinuse: 297
% 73.10/73.51
% 73.10/73.51 Resimplifying inuse:
% 73.10/73.51 Done
% 73.10/73.51
% 73.10/73.51
% 73.10/73.51 Intermediate Status:
% 73.10/73.51 Generated: 926743
% 73.10/73.51 Kept: 156670
% 73.10/73.51 Inuse: 1850
% 73.10/73.51 Deleted: 13843
% 73.10/73.51 Deletedinuse: 297
% 73.10/73.51
% 73.10/73.51 Resimplifying inuse:
% 73.10/73.51 Done
% 73.10/73.51
% 73.10/73.51 Resimplifying inuse:
% 73.10/73.51 Done
% 73.10/73.51
% 73.10/73.51
% 73.10/73.51 Intermediate Status:
% 73.10/73.51 Generated: 941635
% 73.10/73.51 Kept: 162024
% 73.10/73.51 Inuse: 1860
% 73.10/73.51 Deleted: 13843
% 73.10/73.51 Deletedinuse: 297
% 73.10/73.51
% 73.10/73.51 Resimplifying inuse:
% 73.10/73.51 Done
% 73.10/73.51
% 73.10/73.51
% 73.10/73.51 Intermediate Status:
% 73.10/73.51 Generated: 950095
% 73.10/73.51 Kept: 164181
% 73.10/73.51 Inuse: 1870
% 73.10/73.51 Deleted: 13843
% 73.10/73.51 Deletedinuse: 297
% 73.10/73.51
% 73.10/73.51 Resimplifying inuse:
% 73.10/73.51 Done
% 73.10/73.51
% 73.10/73.51
% 73.10/73.51 Intermediate Status:
% 73.10/73.51 Generated: 958991
% 73.10/73.51 Kept: 167834
% 73.10/73.51 Inuse: 1884
% 73.10/73.51 Deleted: 13843
% 73.10/73.51 Deletedinuse: 297
% 73.10/73.51
% 73.10/73.51 Resimplifying inuse:
% 73.10/73.51 Done
% 73.10/73.51
% 73.10/73.51 Resimplifying clauses:
% 73.10/73.51 Done
% 73.10/73.51
% 73.10/73.51 Resimplifying inuse:
% 73.10/73.51 Done
% 73.10/73.51
% 73.10/73.51
% 73.10/73.51 Intermediate Status:
% 73.10/73.51 Generated: 993725
% 73.10/73.51 Kept: 170532
% 73.10/73.51 Inuse: 1900
% 73.10/73.51 Deleted: 13934
% 73.10/73.51 Deletedinuse: 297
% 73.10/73.51
% 73.10/73.51 Resimplifying inuse:
% 73.10/73.51 Done
% 73.10/73.51
% 73.10/73.51
% 73.10/73.51 Intermediate Status:
% 73.10/73.51 Generated: 1006209
% 73.10/73.51 Kept: 172711
% 73.10/73.51 Inuse: 1915
% 73.10/73.51 Deleted: 13934
% 73.10/73.51 Deletedinuse: 297
% 73.10/73.51
% 73.10/73.51 Resimplifying inuse:
% 73.10/73.51 Done
% 73.10/73.51
% 73.10/73.51 Resimplifying inuse:
% 73.10/73.51 Done
% 73.10/73.51
% 73.10/73.51
% 73.10/73.51 Intermediate Status:
% 73.10/73.51 Generated: 1019005
% 73.10/73.51 Kept: 174917
% 73.10/73.51 Inuse: 1930
% 73.10/73.51 Deleted: 13934
% 73.10/73.51 Deletedinuse: 297
% 73.10/73.51
% 73.10/73.51
% 73.10/73.51 Bliksems!, er is een bewijs:
% 73.10/73.51 % SZS status Unsatisfiable
% 73.10/73.51 % SZS output start Refutation
% 73.10/73.51
% 73.10/73.51 clause( 483, [ 'c_List_Odistinct'( 'c_List_Olist_OCons'( X,
% 73.10/73.51 'c_List_Olist_OCons'( Y, 'c_List_Olist_OCons'(
% 73.10/73.51 'v_sko__Arrow__Order__Mirabelle__Xthird__alt__1'( X, Y ),
% 73.10/73.51 'c_List_Olist_ONil'( 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 73.10/73.51 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt' )
% 73.10/73.51 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt'
% 73.10/73.51 ), =( X, Y ) ] )
% 73.10/73.51 .
% 73.10/73.51 clause( 492, [ ~( =( 'v_b____', 'v_a____' ) ) ] )
% 73.10/73.51 .
% 73.10/73.51 clause( 493, [ ~( 'v_thesis____' ) ] )
% 73.10/73.51 .
% 73.10/73.51 clause( 494, [ ~( 'c_List_Odistinct'( 'c_List_Olist_OCons'( 'v_a____',
% 73.10/73.51 'c_List_Olist_OCons'( 'v_b____', 'c_List_Olist_OCons'( X,
% 73.10/73.51 'c_List_Olist_ONil'( 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 73.10/73.51 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt' )
% 73.10/73.51 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt'
% 73.10/73.51 ) ) ] )
% 73.10/73.51 .
% 73.10/73.51 clause( 177303, [ ~( =( X, 'v_a____' ) ), 'c_List_Odistinct'(
% 73.10/73.51 'c_List_Olist_OCons'( X, 'c_List_Olist_OCons'( 'v_b____',
% 73.10/73.51 'c_List_Olist_OCons'( 'v_sko__Arrow__Order__Mirabelle__Xthird__alt__1'( X
% 73.10/73.51 , 'v_b____' ), 'c_List_Olist_ONil'( 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 73.10/73.51 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt' )
% 73.10/73.51 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt'
% 73.10/73.51 ) ] )
% 73.10/73.51 .
% 73.10/73.51 clause( 177450, [] )
% 73.10/73.51 .
% 73.10/73.51
% 73.10/73.51
% 73.10/73.51 % SZS output end Refutation
% 73.10/73.51 found a proof!
% 73.10/73.51
% 73.10/73.51 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 73.10/73.51
% 73.10/73.51 initialclauses(
% 73.10/73.51 [ clause( 177452, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 73.10/73.51 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 73.10/73.51 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 73.10/73.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 73.10/73.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 73.10/73.51 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177453, [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'(
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ), 'tc_nat' ) ] )
% 73.10/73.51 , clause( 177454, [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'(
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ) ), 'tc_nat' ) ] )
% 73.10/73.51 , clause( 177455, [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'(
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ), 'tc_nat' ) ] )
% 73.10/73.51 , clause( 177456, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 73.10/73.51 'c_HOL_Oord__class_Oless'( Y, 'c_Orderings_Oord__class_Omin'( Z, T, X ),
% 73.10/73.51 X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 73.10/73.51 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 73.10/73.51 , clause( 177457, [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 73.10/73.51 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 73.10/73.51 'tc_nat' ) ), 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177458, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'(
% 73.10/73.51 X, Y, 'tc_nat' ), 'c_Suc'( X ), 'tc_nat' ) ] )
% 73.10/73.51 , clause( 177459, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 73.10/73.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 73.10/73.51 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 73.10/73.51 , clause( 177460, [ ~( 'class_Orderings_Oorder'( X ) ),
% 73.10/73.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 73.10/73.51 , X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 73.10/73.51 , clause( 177461, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 73.10/73.51 'tc_nat' ), X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ), ~(
% 73.10/73.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ), 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177462, [ ~( 'c_HOL_Oord__class_Oless'( X,
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177463, [ ~( 'c_HOL_Oord__class_Oless'( X,
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177464, [ 'c_HOL_Oord__class_Oless'( 'c_Divides_Odiv__class_Omod'(
% 73.10/73.51 X, Y, 'tc_nat' ), Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177465, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 73.10/73.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 73.10/73.51 , clause( 177466, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 73.10/73.51 'c_lessequals'( Y, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ]
% 73.10/73.51 )
% 73.10/73.51 , clause( 177467, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 73.10/73.51 'c_HOL_Oord__class_Oless'( Y, Y, X ), 'c_lessequals'( Y, Y, X ) ] )
% 73.10/73.51 , clause( 177468, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 73.10/73.51 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 73.10/73.51 )
% 73.10/73.51 , clause( 177469, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 73.10/73.51 Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ] )
% 73.10/73.51 , clause( 177470, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 73.10/73.51 'c_lessequals'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ]
% 73.10/73.51 )
% 73.10/73.51 , clause( 177471, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 73.10/73.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 73.10/73.51 , clause( 177472, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 73.10/73.51 'c_lessequals'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ]
% 73.10/73.51 )
% 73.10/73.51 , clause( 177473, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 73.10/73.51 'tc_nat' ), 'c_Suc'( X ), 'tc_nat' ) ] )
% 73.10/73.51 , clause( 177474, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 73.10/73.51 'tc_nat' ), 'c_Suc'( X ), 'tc_nat' ) ] )
% 73.10/73.51 , clause( 177475, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 73.10/73.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 73.10/73.51 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 73.10/73.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 73.10/73.51 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 73.10/73.51 , Y, X ) ) ] )
% 73.10/73.51 , clause( 177476, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 73.10/73.51 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 73.10/73.51 , clause( 177477, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 73.10/73.51 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 73.10/73.51 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 73.10/73.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 73.10/73.51 'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 73.10/73.51 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 73.10/73.51 , clause( 177478, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 73.10/73.51 'c_HOL_Oord__class_Oless'( 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T,
% 73.10/73.51 X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 73.10/73.51 , clause( 177479, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 73.10/73.51 'c_HOL_Oord__class_Oless'( 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T,
% 73.10/73.51 X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 73.10/73.51 , clause( 177480, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 73.10/73.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 73.10/73.51 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ) ) ] )
% 73.10/73.51 , clause( 177481, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 73.10/73.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 73.10/73.51 'c_Orderings_Oord__class_Omin'( T, Z, X ), X ) ) ] )
% 73.10/73.51 , clause( 177482, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 73.10/73.51 'c_HOL_Oord__class_Oless'( 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T,
% 73.10/73.51 X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 73.10/73.51 , clause( 177483, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 73.10/73.51 'c_HOL_Oord__class_Oless'( 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T,
% 73.10/73.51 X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 73.10/73.51 , clause( 177484, [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' )
% 73.10/73.51 , =( 'c_Suc'( X ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) )
% 73.10/73.51 ] )
% 73.10/73.51 , clause( 177485, [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ),
% 73.10/73.51 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ] )
% 73.10/73.51 , clause( 177486, [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~(
% 73.10/73.51 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177487, [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' )
% 73.10/73.51 , 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ] )
% 73.10/73.51 , clause( 177488, [ ~(
% 73.10/73.51 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 73.10/73.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 73.10/73.51 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 73.10/73.51 , clause( 177489, [ ~(
% 73.10/73.51 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 73.10/73.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 73.10/73.51 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 73.10/73.51 , clause( 177490, [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ),
% 73.10/73.51 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177491, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 73.10/73.51 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177492, [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ),
% 73.10/73.51 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177493, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 73.10/73.51 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 73.10/73.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 73.10/73.51 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177494, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 73.10/73.51 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 73.10/73.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 73.10/73.51 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177495, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 73.10/73.51 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 73.10/73.51 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ] )
% 73.10/73.51 , clause( 177496, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 73.10/73.51 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 73.10/73.51 , clause( 177497, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 73.10/73.51 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 73.10/73.51 , clause( 177498, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 73.10/73.51 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 73.10/73.51 , clause( 177499, [ ~(
% 73.10/73.51 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 73.10/73.51 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_HOL_Oord__class_Oless'(
% 73.10/73.51 Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X
% 73.10/73.51 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 73.10/73.51 ) ) ] )
% 73.10/73.51 , clause( 177500, [ ~(
% 73.10/73.51 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 73.10/73.51 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_HOL_Oord__class_Oless'(
% 73.10/73.51 Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 73.10/73.51 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 73.10/73.51 , clause( 177501, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 73.10/73.51 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 73.10/73.51 , clause( 177502, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 73.10/73.51 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 73.10/73.51 , clause( 177503, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 73.10/73.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 73.10/73.51 'c_HOL_Oone__class_Oone'( X ), X ), X ) ] )
% 73.10/73.51 , clause( 177504, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 73.10/73.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 73.10/73.51 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 73.10/73.51 Z, T, X ), X ) ) ] )
% 73.10/73.51 , clause( 177505, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 73.10/73.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 73.10/73.51 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ), X ), ~(
% 73.10/73.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ] )
% 73.10/73.51 , clause( 177506, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'(
% 73.10/73.51 X, 'c_Suc'( Y ), 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177507, [ =( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'(
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ), X ), ~(
% 73.10/73.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 73.10/73.51 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177508, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 73.10/73.51 'tc_nat' ), 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ),
% 73.10/73.51 'tc_nat' ), =( X, 'c_List_Olist_ONil'( Y ) ) ] )
% 73.10/73.51 , clause( 177509, [ ~( 'c_HOL_Oord__class_Oless'(
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Nat_Osize__class_Osize'(
% 73.10/73.51 'c_List_Olist_ONil'( X ), 'tc_List_Olist'( X ) ), 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177510, [ =( 'c_List_Olist__update'( 'c_List_Oappend'( X, Y, Z )
% 73.10/73.51 , T, U, Z ), 'c_List_Oappend'( 'c_List_Olist__update'( X, T, U, Z ), Y, Z
% 73.10/73.51 ) ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_Nat_Osize__class_Osize'( X,
% 73.10/73.51 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177511, [ =( 'c_List_Olist__update'( 'c_List_Oappend'( X, Y, Z )
% 73.10/73.51 , T, U, Z ), 'c_List_Oappend'( 'c_List_Olist__update'( X, T, U, Z ), Y, Z
% 73.10/73.51 ) ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_Nat_Osize__class_Osize'( X,
% 73.10/73.51 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177512, [ =( 'c_List_Otake'( X, 'c_List_Obutlast'( Y, Z ), Z ),
% 73.10/73.51 'c_List_Otake'( X, Y, Z ) ), ~( 'c_HOL_Oord__class_Oless'( X,
% 73.10/73.51 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177513, [ =( 'c_List_Olast'( 'c_List_Odrop'( X, Y, Z ), Z ),
% 73.10/73.51 'c_List_Olast'( Y, Z ) ), ~( 'c_HOL_Oord__class_Oless'( X,
% 73.10/73.51 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177514, [ 'c_HOL_Oord__class_Oless'( X,
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 73.10/73.51 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177515, [ 'c_HOL_Oord__class_Oless'( X,
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 73.10/73.51 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177516, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 73.10/73.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ),
% 73.10/73.51 Y, 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177517, [ 'c_HOL_Oord__class_Oless'( X,
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 73.10/73.51 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177518, [ 'c_HOL_Oord__class_Oless'( X,
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 73.10/73.51 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177519, [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ) ) ), ~(
% 73.10/73.51 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'(
% 73.10/73.51 X, T, 'tc_nat' ) ] )
% 73.10/73.51 , clause( 177520, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'(
% 73.10/73.51 X, Y, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ),
% 73.10/73.51 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' ) ), ~(
% 73.10/73.51 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177521, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 73.10/73.51 'tc_nat' ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' )
% 73.10/73.51 ] )
% 73.10/73.51 , clause( 177522, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 73.10/73.51 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 73.10/73.51 , clause( 177523, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 73.10/73.51 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 73.10/73.51 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 73.10/73.51 , clause( 177524, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 73.10/73.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 73.10/73.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 73.10/73.51 , clause( 177525, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 73.10/73.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 73.10/73.51 , clause( 177526, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 73.10/73.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 73.10/73.51 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 73.10/73.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 73.10/73.51 , clause( 177527, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 73.10/73.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( T, Z, X
% 73.10/73.51 ), ~( 'c_HOL_Oord__class_Oless'( 'c_Orderings_Oord__class_Omin'( T, Y, X
% 73.10/73.51 ), Z, X ) ) ] )
% 73.10/73.51 , clause( 177528, [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' )
% 73.10/73.51 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177529, [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X
% 73.10/73.51 ), 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ] )
% 73.10/73.51 , clause( 177530, [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y
% 73.10/73.51 ), 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ] )
% 73.10/73.51 , clause( 177531, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'(
% 73.10/73.51 X, Y, 'tc_nat' ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 73.10/73.51 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177532, [ =( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ), X )
% 73.10/73.51 , ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177533, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 73.10/73.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ), ~(
% 73.10/73.51 'c_lessequals'( Y, Z, X ) ) ] )
% 73.10/73.51 , clause( 177534, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177535, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177536, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 73.10/73.51 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 73.10/73.51 , clause( 177537, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 73.10/73.51 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 73.10/73.51 , clause( 177538, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 73.10/73.51 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 73.10/73.51 , clause( 177539, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 73.10/73.51 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 73.10/73.51 , clause( 177540, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 73.10/73.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 73.10/73.51 ), =( Z, Y ) ] )
% 73.10/73.51 , clause( 177541, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 73.10/73.51 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 73.10/73.51 ) ] )
% 73.10/73.51 , clause( 177542, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ),
% 73.10/73.51 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ), =( Y, X ) ] )
% 73.10/73.51 , clause( 177543, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ),
% 73.10/73.51 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ), =( Y, X ) ] )
% 73.10/73.51 , clause( 177544, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 73.10/73.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 73.10/73.51 ), =( Z, Y ) ] )
% 73.10/73.51 , clause( 177545, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 73.10/73.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Z, Y ),
% 73.10/73.51 'c_HOL_Oord__class_Oless'( Z, Y, X ) ] )
% 73.10/73.51 , clause( 177546, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 73.10/73.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 73.10/73.51 ) ] )
% 73.10/73.51 , clause( 177547, [ ~(
% 73.10/73.51 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 73.10/73.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 73.10/73.51 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 73.10/73.51 , clause( 177548, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 73.10/73.51 X, Y, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ), 'tc_nat'
% 73.10/73.51 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, 'tc_nat' ) ), ~(
% 73.10/73.51 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177549, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 73.10/73.51 Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 73.10/73.51 , clause( 177550, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'(
% 73.10/73.51 Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 73.10/73.51 , clause( 177551, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 73.10/73.51 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 73.10/73.51 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 73.10/73.51 , X ) ) ] )
% 73.10/73.51 , clause( 177552, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 73.10/73.51 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 73.10/73.51 , X ) ) ] )
% 73.10/73.51 , clause( 177553, [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' )
% 73.10/73.51 ] )
% 73.10/73.51 , clause( 177554, [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' )
% 73.10/73.51 ] )
% 73.10/73.51 , clause( 177555, [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' )
% 73.10/73.51 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~(
% 73.10/73.51 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177556, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 73.10/73.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 73.10/73.51 'c_HOL_Oone__class_Oone'( X ), X ), X ) ] )
% 73.10/73.51 , clause( 177557, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 73.10/73.51 ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 73.10/73.51 'c_Power_Opower__class_Opower'( Y, T, X ) ) ), ~(
% 73.10/73.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Z
% 73.10/73.51 , T ) ] )
% 73.10/73.51 , clause( 177558, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 73.10/73.51 'class_Int_Onumber'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 73.10/73.51 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 73.10/73.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'(
% 73.10/73.51 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 73.10/73.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ] )
% 73.10/73.51 , clause( 177559, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 73.10/73.51 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 73.10/73.51 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 73.10/73.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 73.10/73.51 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 73.10/73.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ] )
% 73.10/73.51 , clause( 177560, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 73.10/73.51 'tc_nat' ), X, 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 73.10/73.51 ] )
% 73.10/73.51 , clause( 177561, [ ~( 'c_HOL_Oord__class_Oless'(
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 73.10/73.51 'tc_nat' ), 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177562, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 73.10/73.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 73.10/73.51 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 73.10/73.51 , clause( 177563, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 73.10/73.51 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 73.10/73.51 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 73.10/73.51 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ), ~(
% 73.10/73.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ] )
% 73.10/73.51 , clause( 177564, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 73.10/73.51 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 73.10/73.51 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 73.10/73.51 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 73.10/73.51 X ), T, X ) ) ] )
% 73.10/73.51 , clause( 177565, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 73.10/73.51 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 73.10/73.51 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 73.10/73.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), ~(
% 73.10/73.51 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177566, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 73.10/73.51 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 73.10/73.51 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 73.10/73.51 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 73.10/73.51 X ), T, X ) ) ] )
% 73.10/73.51 , clause( 177567, [ ~( 'c_HOL_Oord__class_Oless'(
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), X, 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177568, [ ~( 'c_HOL_Oord__class_Oless'(
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), Y, 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177569, [ =( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ),
% 73.10/73.51 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 73.10/73.51 'tc_nat' ), Y, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' )
% 73.10/73.51 ] )
% 73.10/73.51 , clause( 177570, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 73.10/73.51 X, Y, 'tc_nat' ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 73.10/73.51 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177571, [ 'c_HOL_Oord__class_Oless'( X,
% 73.10/73.51 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 73.10/73.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ),
% 73.10/73.51 Y, 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177572, [ ~(
% 73.10/73.51 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 73.10/73.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 73.10/73.51 Y, T, X ) ) ] )
% 73.10/73.51 , clause( 177573, [ ~(
% 73.10/73.51 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 73.10/73.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 73.10/73.51 Y, T, X ) ) ] )
% 73.10/73.51 , clause( 177574, [ ~(
% 73.10/73.51 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 73.10/73.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 73.10/73.51 X ), X ) ) ] )
% 73.10/73.51 , clause( 177575, [ ~(
% 73.10/73.51 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 73.10/73.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 73.10/73.51 Z, T, X ) ) ] )
% 73.10/73.51 , clause( 177576, [ ~(
% 73.10/73.51 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 73.10/73.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 73.10/73.51 Z, T, X ) ) ] )
% 73.10/73.51 , clause( 177577, [ ~(
% 73.10/73.51 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 73.10/73.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 73.10/73.51 X ), X ) ) ] )
% 73.10/73.51 , clause( 177578, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 73.10/73.51 X, Y, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat'
% 73.10/73.51 ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177579, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 73.10/73.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Z, X, 'tc_nat' ),
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177580, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 73.10/73.51 X, Y, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat'
% 73.10/73.51 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177581, [ ~( 'class_Orderings_Oorder'( X ) ),
% 73.10/73.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, T, X ) ), ~(
% 73.10/73.51 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 73.10/73.51 , clause( 177582, [ ~( 'class_Orderings_Oorder'( X ) ),
% 73.10/73.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 73.10/73.51 , X ) ), ~( 'c_lessequals'( T, Z, X ) ) ] )
% 73.10/73.51 , clause( 177583, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 73.10/73.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 73.10/73.51 , X ) ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 73.10/73.51 , clause( 177584, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 73.10/73.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( T, Z, X ) ), ~(
% 73.10/73.51 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 73.10/73.51 , clause( 177585, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 73.10/73.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 73.10/73.51 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177586, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 73.10/73.51 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), 'tc_nat' ),
% 73.10/73.51 ~( 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177587, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 73.10/73.51 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177588, [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' )
% 73.10/73.51 , ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177589, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'(
% 73.10/73.51 X, Y, 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), ~(
% 73.10/73.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 73.10/73.51 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177590, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 73.10/73.51 ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 73.10/73.51 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_HOL_Oord__class_Oless'( T
% 73.10/73.51 , U, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 73.10/73.51 , clause( 177591, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 73.10/73.51 ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 73.10/73.51 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y
% 73.10/73.51 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, U, X ) ) ] )
% 73.10/73.51 , clause( 177592, [ =( 'c_HOL_Oplus__class_Oplus'( X,
% 73.10/73.51 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), 'tc_nat' ), Y ),
% 73.10/73.51 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ] )
% 73.10/73.51 , clause( 177593, [ ~( 'class_Orderings_Oorder'( X ) ),
% 73.10/73.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Z, Y ), ~( 'c_lessequals'( Y, Z
% 73.10/73.51 , X ) ) ] )
% 73.10/73.51 , clause( 177594, [ ~( 'class_Orderings_Oorder'( X ) ),
% 73.10/73.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ), =(
% 73.10/73.51 Z, Y ) ] )
% 73.10/73.51 , clause( 177595, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 73.10/73.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 73.10/73.51 , clause( 177596, [ ~( 'class_Orderings_Oorder'( X ) ),
% 73.10/73.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 73.10/73.51 , X ) ) ] )
% 73.10/73.51 , clause( 177597, [ ~( 'class_Orderings_Oorder'( X ) ),
% 73.10/73.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 73.10/73.51 , X ) ) ] )
% 73.10/73.51 , clause( 177598, [ ~( 'class_Orderings_Oorder'( X ) ),
% 73.10/73.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ), =(
% 73.10/73.51 Y, Z ) ] )
% 73.10/73.51 , clause( 177599, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~(
% 73.10/73.51 'c_lessequals'( Y, Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ] )
% 73.10/73.51 , clause( 177600, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 73.10/73.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 73.10/73.51 , clause( 177601, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 73.10/73.51 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 73.10/73.51 Y, X ) ) ] )
% 73.10/73.51 , clause( 177602, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 73.10/73.51 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 73.10/73.51 Y, X ) ) ] )
% 73.10/73.51 , clause( 177603, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 73.10/73.51 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 73.10/73.51 Y, X ) ) ] )
% 73.10/73.51 , clause( 177604, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 73.10/73.51 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 73.10/73.51 Y, X ) ) ] )
% 73.10/73.51 , clause( 177605, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 73.10/73.51 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 73.10/73.51 , clause( 177606, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 73.10/73.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 73.10/73.51 'c_HOL_Oone__class_Oone'( X ), X ) ] )
% 73.10/73.51 , clause( 177607, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 73.10/73.51 ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 73.10/73.51 'c_Power_Opower__class_Opower'( T, Z, X ) ) ), =( Y, T ), ~(
% 73.10/73.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 73.10/73.51 'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 73.10/73.51 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 73.10/73.51 , clause( 177608, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 73.10/73.51 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z
% 73.10/73.51 ), X ), 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 73.10/73.51 Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 73.10/73.51 , clause( 177609, [ =( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X,
% 73.10/73.51 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ), X ), ~(
% 73.10/73.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 73.10/73.51 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177610, [ =( X, 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X,
% 73.10/73.51 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ), ~(
% 73.10/73.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 73.10/73.51 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177611, [ =( 'c_List_Olist__update'( 'c_List_Oappend'( X, Y, Z )
% 73.10/73.51 , T, U, Z ), 'c_List_Oappend'( X, 'c_List_Olist__update'( Y,
% 73.10/73.51 'c_HOL_Ominus__class_Ominus'( T, 'c_Nat_Osize__class_Osize'( X,
% 73.10/73.51 'tc_List_Olist'( Z ) ), 'tc_nat' ), U, Z ), Z ) ),
% 73.10/73.51 'c_HOL_Oord__class_Oless'( T, 'c_Nat_Osize__class_Osize'( X,
% 73.10/73.51 'tc_List_Olist'( Z ) ), 'tc_nat' ) ] )
% 73.10/73.51 , clause( 177612, [ =( 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ),
% 73.10/73.51 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( 'c_Int_Onumber__class_Onumber__of'(
% 73.10/73.51 X, 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ), ~(
% 73.10/73.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 73.10/73.51 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177613, [ =( 'c_List_Orev'( 'c_List_Olist__update'( X, Y, Z, T )
% 73.10/73.51 , T ), 'c_List_Olist__update'( 'c_List_Orev'( X, T ),
% 73.10/73.51 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'(
% 73.10/73.51 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( T ) ), Y, 'tc_nat' ),
% 73.10/73.51 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), Z, T ) ), ~(
% 73.10/73.51 'c_HOL_Oord__class_Oless'( Y, 'c_Nat_Osize__class_Osize'( X,
% 73.10/73.51 'tc_List_Olist'( T ) ), 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177614, [ =( 'c_Orderings_Oord__class_Omin'(
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ),
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177615, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 73.10/73.51 Y, Z, X ), ~( 'c_lessequals'( Y, 'c_Orderings_Oord__class_Omin'( Z, T, X
% 73.10/73.51 ), X ) ) ] )
% 73.10/73.51 , clause( 177616, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 73.10/73.51 Y, Z, X ), ~( 'c_lessequals'( Y, 'c_Orderings_Oord__class_Omin'( T, Z, X
% 73.10/73.51 ), X ) ) ] )
% 73.10/73.51 , clause( 177617, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 73.10/73.51 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y,
% 73.10/73.51 T, X ) ) ] )
% 73.10/73.51 , clause( 177618, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 73.10/73.51 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 73.10/73.51 T, X ) ) ] )
% 73.10/73.51 , clause( 177619, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 73.10/73.51 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y,
% 73.10/73.51 T, X ) ) ] )
% 73.10/73.51 , clause( 177620, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 73.10/73.51 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 73.10/73.51 T, X ) ) ] )
% 73.10/73.51 , clause( 177621, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 73.10/73.51 Y, Z, X ), ~( 'c_lessequals'( Y, 'c_Orderings_Oord__class_Omin'( Z, T, X
% 73.10/73.51 ), X ) ) ] )
% 73.10/73.51 , clause( 177622, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 73.10/73.51 Y, Z, X ), ~( 'c_lessequals'( Y, 'c_Orderings_Oord__class_Omin'( T, Z, X
% 73.10/73.51 ), X ) ) ] )
% 73.10/73.51 , clause( 177623, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), X ) ] )
% 73.10/73.51 , clause( 177624, [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_nat' ),
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177625, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 73.10/73.51 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y,
% 73.10/73.51 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 73.10/73.51 , clause( 177626, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 73.10/73.51 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 73.10/73.51 ) ] )
% 73.10/73.51 , clause( 177627, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 73.10/73.51 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 73.10/73.51 ) ] )
% 73.10/73.51 , clause( 177628, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 73.10/73.51 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 73.10/73.51 ) ] )
% 73.10/73.51 , clause( 177629, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 73.10/73.51 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 73.10/73.51 ) ] )
% 73.10/73.51 , clause( 177630, [ ~( =( X, 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) )
% 73.10/73.51 ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177631, [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), X )
% 73.10/73.51 ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177632, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 73.10/73.51 'class_Int_Onumber__ring'( X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y
% 73.10/73.51 , Z, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 73.10/73.51 , clause( 177633, [ =( 'c_List_Orotate'( X, Y, Z ), 'c_List_Orotate'(
% 73.10/73.51 'c_Divides_Odiv__class_Omod'( X, 'c_Nat_Osize__class_Osize'( Y,
% 73.10/73.51 'tc_List_Olist'( Z ) ), 'tc_nat' ), Y, Z ) ) ] )
% 73.10/73.51 , clause( 177634, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 73.10/73.51 =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z,
% 73.10/73.51 Y, X ) ) ] )
% 73.10/73.51 , clause( 177635, [ =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177636, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 73.10/73.51 X ) ) ] )
% 73.10/73.51 , clause( 177637, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 73.10/73.51 =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z,
% 73.10/73.51 Y, X ) ) ] )
% 73.10/73.51 , clause( 177638, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 73.10/73.51 'c_Divides_Odiv__class_Omod'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 73.10/73.51 ) ] )
% 73.10/73.51 , clause( 177639, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 73.10/73.51 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 73.10/73.51 ) ] )
% 73.10/73.51 , clause( 177640, [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ),
% 73.10/73.51 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), X ) ] )
% 73.10/73.51 , clause( 177641, [ ~(
% 73.10/73.51 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 73.10/73.51 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 73.10/73.51 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ] )
% 73.10/73.51 , clause( 177642, [ ~(
% 73.10/73.51 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 73.10/73.51 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 73.10/73.51 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 73.10/73.51 , clause( 177643, [ ~( =( 'c_List_Oremdups'( X, Y ), X ) ), =(
% 73.10/73.51 'c_Nat_Osize__class_Osize'( 'c_List_Oremdups'( X, Y ), 'tc_List_Olist'( Y
% 73.10/73.51 ) ), 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ) ) ] )
% 73.10/73.51 , clause( 177644, [ ~( =( 'c_Nat_Osize__class_Osize'( 'c_List_Oremdups'( X
% 73.10/73.51 , Y ), 'tc_List_Olist'( Y ) ), 'c_Nat_Osize__class_Osize'( X,
% 73.10/73.51 'tc_List_Olist'( Y ) ) ) ), =( 'c_List_Oremdups'( X, Y ), X ) ] )
% 73.10/73.51 , clause( 177645, [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'(
% 73.10/73.51 X ) ) ) ] )
% 73.10/73.51 , clause( 177646, [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'(
% 73.10/73.51 X ) ) ) ] )
% 73.10/73.51 , clause( 177647, [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( X ), Y,
% 73.10/73.51 'tc_nat' ), 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ) ]
% 73.10/73.51 )
% 73.10/73.51 , clause( 177648, [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_Suc'( Y ),
% 73.10/73.51 'tc_nat' ), 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ) ]
% 73.10/73.51 )
% 73.10/73.51 , clause( 177649, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 73.10/73.51 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_Suc'( Y ), X ),
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 73.10/73.51 , clause( 177650, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 73.10/73.51 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ),
% 73.10/73.51 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 73.10/73.51 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ] )
% 73.10/73.51 , clause( 177651, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 73.10/73.51 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Y, X ) ] )
% 73.10/73.51 , clause( 177652, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 73.10/73.51 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Z, X ) ] )
% 73.10/73.51 , clause( 177653, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 73.10/73.51 Y, 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 73.10/73.51 T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 73.10/73.51 , clause( 177654, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 73.10/73.51 Y, 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 73.10/73.51 T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 73.10/73.51 , clause( 177655, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 73.10/73.51 Y, 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 73.10/73.51 T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 73.10/73.51 , clause( 177656, [ =( 'c_List_Oappend'( 'c_List_Otake'( X, Y, Z ),
% 73.10/73.51 'c_List_Olist_OCons'( 'c_List_Ohd'( 'c_List_Odrop'( X, Y, Z ), Z ),
% 73.10/73.51 'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Otake'( 'c_Suc'( X ), Y, Z )
% 73.10/73.51 ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Nat_Osize__class_Osize'( Y,
% 73.10/73.51 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177657, [ =( 'c_List_Olist__update'( X, Y, Z, T ),
% 73.10/73.51 'c_List_Oappend'( 'c_List_Otake'( Y, X, T ), 'c_List_Olist_OCons'( Z,
% 73.10/73.51 'c_List_Odrop'( 'c_Suc'( Y ), X, T ), T ), T ) ), ~(
% 73.10/73.51 'c_HOL_Oord__class_Oless'( Y, 'c_Nat_Osize__class_Osize'( X,
% 73.10/73.51 'tc_List_Olist'( T ) ), 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177658, [ =( 'c_Orderings_Oord__class_Omin'( X,
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ),
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177659, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 73.10/73.51 ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 73.10/73.51 , clause( 177660, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 73.10/73.51 ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 73.10/73.51 , clause( 177661, [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177662, [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177663, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 73.10/73.51 ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 73.10/73.51 ) ) ] )
% 73.10/73.51 , clause( 177664, [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ] )
% 73.10/73.51 , clause( 177665, [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ] )
% 73.10/73.51 , clause( 177666, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 73.10/73.51 =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat'
% 73.10/73.51 ), X ), Y ) ] )
% 73.10/73.51 , clause( 177667, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 73.10/73.51 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 73.10/73.51 X ), Y ) ] )
% 73.10/73.51 , clause( 177668, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 73.10/73.51 Y, Z, X ), 'c_lessequals'( T, Z, X ), ~( 'c_lessequals'(
% 73.10/73.51 'c_Orderings_Oord__class_Omin'( T, Y, X ), Z, X ) ) ] )
% 73.10/73.51 , clause( 177669, [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 73.10/73.51 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 73.10/73.51 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 73.10/73.51 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 73.10/73.51 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( U, Y, X ), Z, X
% 73.10/73.51 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( W, T, X ),
% 73.10/73.51 Z, X ) ) ] )
% 73.10/73.51 , clause( 177670, [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 73.10/73.51 , 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y, 'c_Suc'(
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ] )
% 73.10/73.51 , clause( 177671, [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 73.10/73.51 , 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( X,
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177672, [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ), 'c_Suc'(
% 73.10/73.51 Y ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177673, [ =( 'c_Divides_Odiv__class_Omod'( X, 'c_Suc'(
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ),
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177674, [ =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 73.10/73.51 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( X,
% 73.10/73.51 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), Y, 'tc_nat' ) ) ), =( X
% 73.10/73.51 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177675, [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Otake'( X, Y, Z
% 73.10/73.51 ), 'tc_List_Olist'( Z ) ), 'c_Orderings_Oord__class_Omin'(
% 73.10/73.51 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), X, 'tc_nat' ) ) ]
% 73.10/73.51 )
% 73.10/73.51 , clause( 177676, [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Orotate'( X, Y,
% 73.10/73.51 Z ), 'tc_List_Olist'( Z ) ), 'c_Nat_Osize__class_Osize'( Y,
% 73.10/73.51 'tc_List_Olist'( Z ) ) ) ] )
% 73.10/73.51 , clause( 177677, [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 73.10/73.51 ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177678, [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Orotate1'( X, Y
% 73.10/73.51 ), 'tc_List_Olist'( Y ) ), 'c_Nat_Osize__class_Osize'( X,
% 73.10/73.51 'tc_List_Olist'( Y ) ) ) ] )
% 73.10/73.51 , clause( 177679, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 73.10/73.51 'c_Orderings_Oord__class_Omin'( Y, Y, X ), Y ) ] )
% 73.10/73.51 , clause( 177680, [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Oappend'( X, Y,
% 73.10/73.51 Z ), 'tc_List_Olist'( Z ) ), 'c_HOL_Oplus__class_Oplus'(
% 73.10/73.51 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Z ) ),
% 73.10/73.51 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177681, [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Odrop'( X, Y, Z
% 73.10/73.51 ), 'tc_List_Olist'( Z ) ), 'c_HOL_Ominus__class_Ominus'(
% 73.10/73.51 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), X, 'tc_nat' ) ) ]
% 73.10/73.51 )
% 73.10/73.51 , clause( 177682, [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =(
% 73.10/73.51 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ),
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, X ) ] )
% 73.10/73.51 , clause( 177683, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 73.10/73.51 'c_lessequals'( Z, Y, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 73.10/73.51 , clause( 177684, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 73.10/73.51 'c_lessequals'( Z, Y, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 73.10/73.51 , clause( 177685, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 73.10/73.51 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 73.10/73.51 , clause( 177686, [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 73.10/73.51 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 73.10/73.51 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 73.10/73.51 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 73.10/73.51 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 73.10/73.51 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( W, T,
% 73.10/73.51 X ), Z, X ) ) ] )
% 73.10/73.51 , clause( 177687, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 73.10/73.51 ), 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 73.10/73.51 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 73.10/73.51 , X ) ) ] )
% 73.10/73.51 , clause( 177688, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 73.10/73.51 ), 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 73.10/73.51 , clause( 177689, [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Osplice'( X, Y,
% 73.10/73.51 Z ), 'tc_List_Olist'( Z ) ), 'c_HOL_Oplus__class_Oplus'(
% 73.10/73.51 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Z ) ),
% 73.10/73.51 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177690, [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'(
% 73.10/73.51 'tc_nat' ) ) ) ] )
% 73.10/73.51 , clause( 177691, [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'(
% 73.10/73.51 'tc_nat' ) ) ) ] )
% 73.10/73.51 , clause( 177692, [ ~(
% 73.10/73.51 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 73.10/73.51 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 73.10/73.51 ) ] )
% 73.10/73.51 , clause( 177693, [ ~(
% 73.10/73.51 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 73.10/73.51 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 73.10/73.51 Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ) ) ] )
% 73.10/73.51 , clause( 177694, [ ~(
% 73.10/73.51 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 73.10/73.51 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 73.10/73.51 ) ] )
% 73.10/73.51 , clause( 177695, [ ~(
% 73.10/73.51 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 73.10/73.51 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 73.10/73.51 T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ) ) ] )
% 73.10/73.51 , clause( 177696, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 73.10/73.51 X ) ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 73.10/73.51 ) ] )
% 73.10/73.51 , clause( 177697, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 73.10/73.51 X ) ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 73.10/73.51 ) ] )
% 73.10/73.51 , clause( 177698, [ =( 'c_List_Odrop'( X, 'c_List_Odrop'( Y, Z, T ), T ),
% 73.10/73.51 'c_List_Odrop'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), Z, T ) ) ]
% 73.10/73.51 )
% 73.10/73.51 , clause( 177699, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 73.10/73.51 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 73.10/73.51 X ), Z, X ) ), ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y,
% 73.10/73.51 'c_Suc'( T ), X ), 'c_Power_Opower__class_Opower'( Z, 'c_Suc'( T ), X ),
% 73.10/73.51 X ) ) ] )
% 73.10/73.51 , clause( 177700, [ ~(
% 73.10/73.51 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~( =(
% 73.10/73.51 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 73.10/73.51 ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 73.10/73.51 , clause( 177701, [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 73.10/73.51 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 73.10/73.51 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 73.10/73.51 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 73.10/73.51 ) ) ] )
% 73.10/73.51 , clause( 177702, [ =( 'c_List_Otake'( X, 'c_List_Oappend'( Y, Z, T ), T )
% 73.10/73.51 , 'c_List_Oappend'( 'c_List_Otake'( X, Y, T ), 'c_List_Otake'(
% 73.10/73.51 'c_HOL_Ominus__class_Ominus'( X, 'c_Nat_Osize__class_Osize'( Y,
% 73.10/73.51 'tc_List_Olist'( T ) ), 'tc_nat' ), Z, T ), T ) ) ] )
% 73.10/73.51 , clause( 177703, [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Obutlast'( X, Y
% 73.10/73.51 ), 'tc_List_Olist'( Y ) ), 'c_HOL_Ominus__class_Ominus'(
% 73.10/73.51 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ),
% 73.10/73.51 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177704, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 73.10/73.51 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 73.10/73.51 ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ] )
% 73.10/73.51 , clause( 177705, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 73.10/73.51 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 73.10/73.51 ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ) ) ] )
% 73.10/73.51 , clause( 177706, [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Oreplicate'( X,
% 73.10/73.51 Y, Z ), 'tc_List_Olist'( Z ) ), X ) ] )
% 73.10/73.51 , clause( 177707, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 73.10/73.51 ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 73.10/73.51 , clause( 177708, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 73.10/73.51 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 73.10/73.51 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 73.10/73.51 , clause( 177709, [ ~( =( 'c_Suc'( X ), X ) ) ] )
% 73.10/73.51 , clause( 177710, [ ~( =( X, 'c_Suc'( X ) ) ) ] )
% 73.10/73.51 , clause( 177711, [ =( 'c_Divides_Odiv__class_Omod'( 'c_Suc'( X ), Y,
% 73.10/73.51 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( 'c_Suc'(
% 73.10/73.51 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ), Y, 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177712, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 73.10/73.51 Z, X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 73.10/73.51 )
% 73.10/73.51 , clause( 177713, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 73.10/73.51 ) ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 73.10/73.51 , clause( 177714, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'(
% 73.10/73.51 Y, Z, X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 73.10/73.51 ] )
% 73.10/73.51 , clause( 177715, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 73.10/73.51 Y, X ) ] )
% 73.10/73.51 , clause( 177716, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'(
% 73.10/73.51 Y, Y, X ) ] )
% 73.10/73.51 , clause( 177717, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 73.10/73.51 ), 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 73.10/73.51 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ] )
% 73.10/73.51 , clause( 177718, [ =( 'c_Orderings_Oord__class_Omin'(
% 73.10/73.51 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 73.10/73.51 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 73.10/73.51 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Oord__class_Omin'( X, Z,
% 73.10/73.51 'tc_nat' ), Y, 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177719, [ =( 'c_HOL_Oplus__class_Oplus'(
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'(
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), 'c_Suc'(
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ] )
% 73.10/73.51 , clause( 177720, [ ~( 'class_Int_Onumber'( X ) ), ~( 'class_HOL_Oord'( X )
% 73.10/73.51 ), =( 'c_Orderings_Oord__class_Omin'( 'c_Int_Onumber__class_Onumber__of'(
% 73.10/73.51 Y, X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 73.10/73.51 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), 'c_lessequals'(
% 73.10/73.51 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 73.10/73.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ] )
% 73.10/73.51 , clause( 177721, [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Otl'( X, Y ),
% 73.10/73.51 'tc_List_Olist'( Y ) ), 'c_HOL_Ominus__class_Ominus'(
% 73.10/73.51 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ),
% 73.10/73.51 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177722, [ =( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y )
% 73.10/73.51 ), 'c_Suc'( 'c_Nat_Osize__class_Osize'( 'c_List_Otl'( X, Y ),
% 73.10/73.51 'tc_List_Olist'( Y ) ) ) ), =( X, 'c_List_Olist_ONil'( Y ) ) ] )
% 73.10/73.51 , clause( 177723, [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Orev'( X, Y ),
% 73.10/73.51 'tc_List_Olist'( Y ) ), 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y
% 73.10/73.51 ) ) ) ] )
% 73.10/73.51 , clause( 177724, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 73.10/73.51 ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 73.10/73.51 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_lessequals'( U, T, X ),
% 73.10/73.51 ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 73.10/73.51 , clause( 177725, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 73.10/73.51 ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 73.10/73.51 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_lessequals'( Z, Y, X ),
% 73.10/73.51 ~( 'c_lessequals'( U, T, X ) ) ] )
% 73.10/73.51 , clause( 177726, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 73.10/73.51 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 73.10/73.51 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 73.10/73.51 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 73.10/73.51 ) ) ] )
% 73.10/73.51 , clause( 177727, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 73.10/73.51 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 73.10/73.51 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ),
% 73.10/73.51 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 73.10/73.51 ) ) ] )
% 73.10/73.51 , clause( 177728, [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 73.10/73.51 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ] )
% 73.10/73.51 , clause( 177729, [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 73.10/73.51 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177730, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 73.10/73.51 Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 73.10/73.51 , clause( 177731, [ =( 'c_List_Orev'( 'c_List_Odrop'( X, Y, Z ), Z ),
% 73.10/73.51 'c_List_Otake'( 'c_HOL_Ominus__class_Ominus'( 'c_Nat_Osize__class_Osize'(
% 73.10/73.51 Y, 'tc_List_Olist'( Z ) ), X, 'tc_nat' ), 'c_List_Orev'( Y, Z ), Z ) ) ]
% 73.10/73.51 )
% 73.10/73.51 , clause( 177732, [ =( 'c_List_Orev'( 'c_List_Otake'( X, Y, Z ), Z ),
% 73.10/73.51 'c_List_Odrop'( 'c_HOL_Ominus__class_Ominus'( 'c_Nat_Osize__class_Osize'(
% 73.10/73.51 Y, 'tc_List_Olist'( Z ) ), X, 'tc_nat' ), 'c_List_Orev'( Y, Z ), Z ) ) ]
% 73.10/73.51 )
% 73.10/73.51 , clause( 177733, [ =( 'c_List_Obutlast'( X, Y ), 'c_List_Otake'(
% 73.10/73.51 'c_HOL_Ominus__class_Ominus'( 'c_Nat_Osize__class_Osize'( X,
% 73.10/73.51 'tc_List_Olist'( Y ) ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' )
% 73.10/73.51 , X, Y ) ) ] )
% 73.10/73.51 , clause( 177734, [ =( 'c_List_Obutlast'( 'c_List_Olist__update'( X,
% 73.10/73.51 'c_HOL_Ominus__class_Ominus'( 'c_Nat_Osize__class_Osize'( X,
% 73.10/73.51 'tc_List_Olist'( Y ) ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' )
% 73.10/73.51 , Z, Y ), Y ), 'c_List_Obutlast'( X, Y ) ) ] )
% 73.10/73.51 , clause( 177735, [ =( 'c_List_Obutlast'( 'c_List_Olist__update'( X, Y, Z,
% 73.10/73.51 T ), T ), 'c_List_Olist__update'( 'c_List_Obutlast'( X, T ), Y, Z, T ) )
% 73.10/73.51 , =( Y, 'c_HOL_Ominus__class_Ominus'( 'c_Nat_Osize__class_Osize'( X,
% 73.10/73.51 'tc_List_Olist'( T ) ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' )
% 73.10/73.51 ) ] )
% 73.10/73.51 , clause( 177736, [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 73.10/73.51 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 73.10/73.51 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 73.10/73.51 ), ~( =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'(
% 73.10/73.51 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ] )
% 73.10/73.51 , clause( 177737, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 73.10/73.51 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 73.10/73.51 ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177738, [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 73.10/73.51 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 73.10/73.51 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 73.10/73.51 ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 73.10/73.51 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177739, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 73.10/73.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'(
% 73.10/73.51 X ), X ) ] )
% 73.10/73.51 , clause( 177740, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 73.10/73.51 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Oone__class_Oone'( X ), X ),
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 73.10/73.51 , clause( 177741, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 73.10/73.51 ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ),
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 73.10/73.51 , clause( 177742, [ ~( 'class_Power_Opower'( X ) ), =(
% 73.10/73.51 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 73.10/73.51 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 73.10/73.51 , clause( 177743, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 73.10/73.51 =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'(
% 73.10/73.51 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 73.10/73.51 , clause( 177744, [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Olist_ONil'( X )
% 73.10/73.51 , 'tc_List_Olist'( X ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177745, [ ~( =( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y
% 73.10/73.51 ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 73.10/73.51 'c_List_Olist_ONil'( Y ) ) ] )
% 73.10/73.51 , clause( 177746, [ =( 'c_List_Ohd'( 'c_List_Oappend'( X, Y, Z ), Z ),
% 73.10/73.51 'c_List_Ohd'( X, Z ) ), =( X, 'c_List_Olist_ONil'( Z ) ) ] )
% 73.10/73.51 , clause( 177747, [ =( 'c_List_Ohd'( 'c_List_Oappend'( 'c_List_Olist_ONil'(
% 73.10/73.51 X ), Y, X ), X ), 'c_List_Ohd'( Y, X ) ) ] )
% 73.10/73.51 , clause( 177748, [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'c_Suc'(
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ] )
% 73.10/73.51 , clause( 177749, [ =( 'c_List_Otake'( 'c_Int_Onumber__class_Onumber__of'(
% 73.10/73.51 X, 'tc_nat' ), 'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_List_Olist_OCons'(
% 73.10/73.51 Y, 'c_List_Otake'( 'c_HOL_Ominus__class_Ominus'(
% 73.10/73.51 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ),
% 73.10/73.51 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), Z, T ), T ) ), =(
% 73.10/73.51 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ),
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177750, [ =( 'c_List_Odrop'( 'c_Int_Onumber__class_Onumber__of'(
% 73.10/73.51 X, 'tc_nat' ), 'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_List_Odrop'(
% 73.10/73.51 'c_HOL_Ominus__class_Ominus'( 'c_Int_Onumber__class_Onumber__of'( X,
% 73.10/73.51 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), Z, T ) ),
% 73.10/73.51 =( 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ),
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177751, [ =( 'c_List_Otake'( 'c_Suc'( X ), 'c_List_Olist_OCons'(
% 73.10/73.51 Y, Z, T ), T ), 'c_List_Olist_OCons'( Y, 'c_List_Otake'( X, Z, T ), T ) )
% 73.10/73.51 ] )
% 73.10/73.51 , clause( 177752, [ =( 'c_List_Odrop'( 'c_Suc'( X ), 'c_List_Olist_OCons'(
% 73.10/73.51 Y, Z, T ), T ), 'c_List_Odrop'( X, Z, T ) ) ] )
% 73.10/73.51 , clause( 177753, [ =( X, 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( X,
% 73.10/73.51 'tc_List_Olist'( Y ) ), 'c_List_Oappend'( X, Z, Y ), Y ) ) ] )
% 73.10/73.51 , clause( 177754, [ =( X, 'c_List_Odrop'( 'c_Nat_Osize__class_Osize'( Y,
% 73.10/73.51 'tc_List_Olist'( Z ) ), 'c_List_Oappend'( Y, X, Z ), Z ) ) ] )
% 73.10/73.51 , clause( 177755, [ =( 'c_List_Ohd'( 'c_List_Oreplicate'( X, Y, Z ), Z ), Y
% 73.10/73.51 ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177756, [ =( 'c_List_Olist__update'( 'c_List_Olist_OCons'( X, Y,
% 73.10/73.51 Z ), 'c_Suc'( T ), U, Z ), 'c_List_Olist_OCons'( X,
% 73.10/73.51 'c_List_Olist__update'( Y, T, U, Z ), Z ) ) ] )
% 73.10/73.51 , clause( 177757, [ =( 'c_List_Oreplicate'( 'c_Suc'( X ), Y, Z ),
% 73.10/73.51 'c_List_Olist_OCons'( Y, 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ] )
% 73.10/73.51 , clause( 177758, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 73.10/73.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 73.10/73.51 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 73.10/73.51 , clause( 177759, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 73.10/73.51 ), =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Oord__class_Omin'( Y, Z
% 73.10/73.51 , X ), T, X ), 'c_Orderings_Oord__class_Omin'(
% 73.10/73.51 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 73.10/73.51 , T, X ), X ) ) ] )
% 73.10/73.51 , clause( 177760, [ =( 'c_List_Odrop'( X, 'c_List_Oappend'( Y, Z, T ), T )
% 73.10/73.51 , 'c_List_Oappend'( 'c_List_Odrop'( X, Y, T ), 'c_List_Odrop'(
% 73.10/73.51 'c_HOL_Ominus__class_Ominus'( X, 'c_Nat_Osize__class_Osize'( Y,
% 73.10/73.51 'tc_List_Olist'( T ) ), 'tc_nat' ), Z, T ), T ) ) ] )
% 73.10/73.51 , clause( 177761, [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Olist_OCons'( X
% 73.10/73.51 , Y, Z ), 'tc_List_Olist'( Z ) ), 'c_HOL_Oplus__class_Oplus'(
% 73.10/73.51 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), 'c_Suc'(
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177762, [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'(
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 73.10/73.51 'tc_nat' ), 'tc_nat' ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 73.10/73.51 ) ] )
% 73.10/73.51 , clause( 177763, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 73.10/73.51 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 73.10/73.51 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ] )
% 73.10/73.51 , clause( 177764, [ =( 'c_Suc'( X ), 'c_HOL_Oplus__class_Oplus'(
% 73.10/73.51 'c_HOL_Oone__class_Oone'( 'tc_nat' ), X, 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177765, [ =( 'c_Suc'( X ), 'c_HOL_Oplus__class_Oplus'( X,
% 73.10/73.51 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177766, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 73.10/73.51 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 73.10/73.51 , clause( 177767, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 73.10/73.51 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 73.10/73.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ] )
% 73.10/73.51 , clause( 177768, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 73.10/73.51 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 73.10/73.51 , clause( 177769, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 73.10/73.51 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omin'( Y, Z,
% 73.10/73.51 X ), X ), 'c_Orderings_Oord__class_Omin'( Y, Z, X ) ) ] )
% 73.10/73.51 , clause( 177770, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 73.10/73.51 ), Y ) ] )
% 73.10/73.51 , clause( 177771, [ =( 'c_Suc'( 'c_Nat_Osize__class_Osize'( X,
% 73.10/73.51 'tc_List_Olist'( Y ) ) ), 'c_Nat_Osize__class_Osize'(
% 73.10/73.51 'c_List_Olist_OCons'( Z, X, Y ), 'tc_List_Olist'( Y ) ) ) ] )
% 73.10/73.51 , clause( 177772, [ =( 'c_List_Otake'( X, 'c_List_Otake'( Y, Z, T ), T ),
% 73.10/73.51 'c_List_Otake'( 'c_Orderings_Oord__class_Omin'( X, Y, 'tc_nat' ), Z, T )
% 73.10/73.51 ) ] )
% 73.10/73.51 , clause( 177773, [ =( 'c_Divides_Odiv__class_Omod'( 'c_Suc'( X ), Y,
% 73.10/73.51 'tc_nat' ), 'c_Suc'( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ) ),
% 73.10/73.51 =( 'c_Suc'( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ), Y ) ] )
% 73.10/73.51 , clause( 177774, [ =( 'c_List_Orotate'( X, 'c_List_Orev'( Y, Z ), Z ),
% 73.10/73.51 'c_List_Orev'( 'c_List_Orotate'( 'c_HOL_Ominus__class_Ominus'(
% 73.10/73.51 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ),
% 73.10/73.51 'c_Divides_Odiv__class_Omod'( X, 'c_Nat_Osize__class_Osize'( Y,
% 73.10/73.51 'tc_List_Olist'( Z ) ), 'tc_nat' ), 'tc_nat' ), Y, Z ), Z ) ) ] )
% 73.10/73.51 , clause( 177775, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 73.10/73.51 X ) ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 73.10/73.51 ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 73.10/73.51 , clause( 177776, [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Olist_OCons'( X
% 73.10/73.51 , Y, Z ), 'tc_List_Olist'( Z ) ), 'c_Suc'( 'c_Nat_Osize__class_Osize'( Y
% 73.10/73.51 , 'tc_List_Olist'( Z ) ) ) ) ] )
% 73.10/73.51 , clause( 177777, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 73.10/73.51 ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 73.10/73.51 )
% 73.10/73.51 , clause( 177778, [ =( 'c_HOL_Oplus__class_Oplus'(
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 73.10/73.51 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177779, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 73.10/73.51 ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 73.10/73.51 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 73.10/73.51 )
% 73.10/73.51 , clause( 177780, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 73.10/73.51 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 73.10/73.51 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 73.10/73.51 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 73.10/73.51 , T, X ), X ), T, X ) ) ] )
% 73.10/73.51 , clause( 177781, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 73.10/73.51 ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 73.10/73.51 , clause( 177782, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 73.10/73.51 =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ),
% 73.10/73.51 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 73.10/73.51 , X ) ) ] )
% 73.10/73.51 , clause( 177783, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 73.10/73.51 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 73.10/73.51 ) ) ] )
% 73.10/73.51 , clause( 177784, [ =( 'c_HOL_Oplus__class_Oplus'( X,
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 'tc_nat' ),
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat'
% 73.10/73.51 ), 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177785, [ =( 'c_HOL_Oplus__class_Oplus'(
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ),
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat'
% 73.10/73.51 ), 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177786, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 73.10/73.51 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 73.10/73.51 ) ) ] )
% 73.10/73.51 , clause( 177787, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 73.10/73.51 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 73.10/73.51 ) ) ] )
% 73.10/73.51 , clause( 177788, [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 73.10/73.51 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 73.10/73.51 ) ) ] )
% 73.10/73.51 , clause( 177789, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 73.10/73.51 =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ),
% 73.10/73.51 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 73.10/73.51 , X ) ) ] )
% 73.10/73.51 , clause( 177790, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 73.10/73.51 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T,
% 73.10/73.51 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z
% 73.10/73.51 , X ) ) ] )
% 73.10/73.51 , clause( 177791, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 73.10/73.51 =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ),
% 73.10/73.51 X ), 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X )
% 73.10/73.51 , X ) ) ] )
% 73.10/73.51 , clause( 177792, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 73.10/73.51 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T,
% 73.10/73.51 X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X )
% 73.10/73.51 , X ) ) ] )
% 73.10/73.51 , clause( 177793, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 73.10/73.51 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ] )
% 73.10/73.51 , clause( 177794, [ ~( 'class_Divides_Oring__div'( X ) ), =(
% 73.10/73.51 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 73.10/73.51 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 73.10/73.51 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ] )
% 73.10/73.51 , clause( 177795, [ ~( 'class_Divides_Oring__div'( X ) ), =(
% 73.10/73.51 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 73.10/73.51 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y,
% 73.10/73.51 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ] )
% 73.10/73.51 , clause( 177796, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 73.10/73.51 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 73.10/73.51 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 73.10/73.51 , clause( 177797, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 73.10/73.51 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Y ), ~( 'c_lessequals'( Y, Z,
% 73.10/73.51 X ) ) ] )
% 73.10/73.51 , clause( 177798, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 73.10/73.51 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Y ) ), 'c_lessequals'( Y, Z, X
% 73.10/73.51 ) ] )
% 73.10/73.51 , clause( 177799, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 73.10/73.51 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Z ), ~( 'c_lessequals'( Z, Y,
% 73.10/73.51 X ) ) ] )
% 73.10/73.51 , clause( 177800, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 73.10/73.51 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 73.10/73.51 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 73.10/73.51 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ] )
% 73.10/73.51 , clause( 177801, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 73.10/73.51 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 73.10/73.51 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 73.10/73.51 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ] )
% 73.10/73.51 , clause( 177802, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 73.10/73.51 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omin'( Y, Z, X )
% 73.10/73.51 , T, X ), 'c_Orderings_Oord__class_Omin'( Y,
% 73.10/73.51 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ) ) ] )
% 73.10/73.51 , clause( 177803, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 73.10/73.51 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omin'( Z, T,
% 73.10/73.51 X ), X ), 'c_Orderings_Oord__class_Omin'( Z,
% 73.10/73.51 'c_Orderings_Oord__class_Omin'( Y, T, X ), X ) ) ] )
% 73.10/73.51 , clause( 177804, [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 73.10/73.51 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177805, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'tc_nat' ),
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177806, [ =( 'c_HOL_Ominus__class_Ominus'(
% 73.10/73.51 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ),
% 73.10/73.51 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 73.10/73.51 'tc_nat' ), 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177807, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 73.10/73.51 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 73.10/73.51 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~( 'c_lessequals'(
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 73.10/73.51 ] )
% 73.10/73.51 , clause( 177808, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 73.10/73.51 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 73.10/73.51 , T, X ) ) ), =( Y, Z ) ] )
% 73.10/73.51 , clause( 177809, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 73.10/73.51 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 73.10/73.51 , T, X ) ) ), =( Z, T ) ] )
% 73.10/73.51 , clause( 177810, [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 73.10/73.51 , 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y, 'c_Suc'(
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177811, [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 73.10/73.51 , 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( X,
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ] )
% 73.10/73.51 , clause( 177812, [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( X ), Y,
% 73.10/73.51 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ]
% 73.10/73.51 )
% 73.10/73.51 , clause( 177813, [ ~( 'class_Int_Oring__char__0'( X ) ), ~(
% 73.10/73.51 'class_Int_Onumber__ring'( X ) ), ~( =(
% 73.10/73.51 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 73.10/73.51 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ] )
% 73.10/73.51 , clause( 177814, [ =( 'c_HOL_Ominus__class_Ominus'(
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ),
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177815, [ =( 'c_HOL_Ominus__class_Ominus'(
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 73.10/73.51 Z, Y, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, Z,
% 73.10/73.51 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177816, [ =( 'c_HOL_Ominus__class_Ominus'(
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 73.10/73.51 X, Z, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 73.10/73.51 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177817, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 73.10/73.51 'c_Orderings_Oord__class_Omin'( Y, Z, X ), 'c_Orderings_Oord__class_Omin'(
% 73.10/73.51 Z, Y, X ) ) ] )
% 73.10/73.51 , clause( 177818, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 73.10/73.51 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y,
% 73.10/73.51 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ] )
% 73.10/73.51 , clause( 177819, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 73.10/73.51 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 73.10/73.51 ) ), =( Y, Z ) ] )
% 73.10/73.51 , clause( 177820, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 73.10/73.51 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 73.10/73.51 ) ), =( Y, Z ) ] )
% 73.10/73.51 , clause( 177821, [ =( 'c_HOL_Ominus__class_Ominus'(
% 73.10/73.51 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ),
% 73.10/73.51 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Z,
% 73.10/73.51 'tc_nat' ), Y, 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177822, [ ~( =( 'c_Divides_Odiv__class_Omod'( X,
% 73.10/73.51 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ),
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( 'c_List_Orotate'( X, Y, Z
% 73.10/73.51 ), Y ) ] )
% 73.10/73.51 , clause( 177823, [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ) ), =( Y, Z ) ] )
% 73.10/73.51 , clause( 177824, [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ) ) ), =( X, Z ) ] )
% 73.10/73.51 , clause( 177825, [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ) ), =( Y, Z ) ] )
% 73.10/73.51 , clause( 177826, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 73.10/73.51 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z
% 73.10/73.51 , X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ] )
% 73.10/73.51 , clause( 177827, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X
% 73.10/73.51 ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ] )
% 73.10/73.51 , clause( 177828, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) )
% 73.10/73.51 , ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 73.10/73.51 Y, T, X ) ) ), =( Z, T ) ] )
% 73.10/73.51 , clause( 177829, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) )
% 73.10/73.51 , ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 73.10/73.51 T, Z, X ) ) ), =( Y, T ) ] )
% 73.10/73.51 , clause( 177830, [ ~(
% 73.10/73.51 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), =(
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T
% 73.10/73.51 , X ), 'c_Orderings_Oord__class_Omin'( 'c_HOL_Oplus__class_Oplus'( Y, T,
% 73.10/73.51 X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ) ) ] )
% 73.10/73.51 , clause( 177831, [ ~( 'class_Divides_Oring__div'( X ) ), =(
% 73.10/73.51 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 73.10/73.51 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 73.10/73.51 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 73.10/73.51 , T, X ), X ), T, X ) ) ] )
% 73.10/73.51 , clause( 177832, [ ~( =( 'c_Suc'( 'c_Divides_Odiv__class_Omod'( X, Y,
% 73.10/73.51 'tc_nat' ) ), Y ) ), =( 'c_Divides_Odiv__class_Omod'( 'c_Suc'( X ), Y,
% 73.10/73.51 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177833, [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 73.10/73.51 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177834, [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 73.10/73.51 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ] )
% 73.10/73.51 , clause( 177835, [ =( 'c_HOL_Ominus__class_Ominus'(
% 73.10/73.51 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'( Z ),
% 73.10/73.51 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X
% 73.10/73.51 , Y, 'tc_nat' ), Z, 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177836, [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'( Y ),
% 73.10/73.51 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X
% 73.10/73.51 , 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), Y, 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177837, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 73.10/73.51 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 73.10/73.51 X ), X ) ) ] )
% 73.10/73.51 , clause( 177838, [ ~( 'class_Int_Onumber'( X ) ), ~( 'class_HOL_Oord'( X )
% 73.10/73.51 ), =( 'c_Orderings_Oord__class_Omin'( 'c_Int_Onumber__class_Onumber__of'(
% 73.10/73.51 Y, X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 73.10/73.51 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), ~( 'c_lessequals'(
% 73.10/73.51 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 73.10/73.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ] )
% 73.10/73.51 , clause( 177839, [ =( 'c_Orderings_Oord__class_Omin'( 'c_Suc'( X ),
% 73.10/73.51 'c_Suc'( Y ), 'tc_nat' ), 'c_Suc'( 'c_Orderings_Oord__class_Omin'( X, Y,
% 73.10/73.51 'tc_nat' ) ) ) ] )
% 73.10/73.51 , clause( 177840, [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Olist__update'(
% 73.10/73.51 X, Y, Z, T ), 'tc_List_Olist'( T ) ), 'c_Nat_Osize__class_Osize'( X,
% 73.10/73.51 'tc_List_Olist'( T ) ) ) ] )
% 73.10/73.51 , clause( 177841, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 73.10/73.51 ~( =( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 73.10/73.51 'c_Power_Opower__class_Opower'( T, 'c_Suc'( Z ), X ) ) ), =( Y, T ), ~(
% 73.10/73.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 73.10/73.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 73.10/73.51 , clause( 177842, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 73.10/73.51 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 73.10/73.51 ) ] )
% 73.10/73.51 , clause( 177843, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 73.10/73.51 ] )
% 73.10/73.51 , clause( 177844, [ =( X, 'c_HOL_Oplus__class_Oplus'( X,
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177845, [ =( 'c_HOL_Oplus__class_Oplus'(
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ), X ) ] )
% 73.10/73.51 , clause( 177846, [ =( 'c_HOL_Oplus__class_Oplus'( X,
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), X ) ] )
% 73.10/73.51 , clause( 177847, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 73.10/73.51 'class_Int_Onumber__ring'( X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 73.10/73.51 , clause( 177848, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 73.10/73.51 ] )
% 73.10/73.51 , clause( 177849, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 73.10/73.51 ] )
% 73.10/73.51 , clause( 177850, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 73.10/73.51 ] )
% 73.10/73.51 , clause( 177851, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 73.10/73.51 =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 73.10/73.51 ) ] )
% 73.10/73.51 , clause( 177852, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 73.10/73.51 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 73.10/73.51 ) ] )
% 73.10/73.51 , clause( 177853, [ =( 'c_HOL_Ominus__class_Ominus'(
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), Y, 'tc_nat' ), X ) ] )
% 73.10/73.51 , clause( 177854, [ =( 'c_HOL_Ominus__class_Ominus'(
% 73.10/73.51 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), X, 'tc_nat' ), Y ) ] )
% 73.10/73.51 , clause( 177855, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 73.10/73.51 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 73.10/73.51 ), Y ) ] )
% 73.10/73.51 , clause( 177856, [ =( 'c_List_Orotate'( X, 'c_List_Orotate'( Y, Z, T ), T
% 73.10/73.51 ), 'c_List_Orotate'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), Z, T
% 73.10/73.51 ) ) ] )
% 73.10/73.51 , clause( 177857, [ =( 'c_List_Ohd'( 'c_List_Olist_OCons'( X, Y, Z ), Z ),
% 73.10/73.51 X ) ] )
% 73.10/73.51 , clause( 177858, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 73.10/73.51 Y, Z, X ), ~( 'c_List_Olinorder__class_Osorted'( 'c_List_Olist_OCons'( Y
% 73.10/73.51 , 'c_List_Olist_OCons'( Z, T, X ), X ), X ) ) ] )
% 73.10/73.51 , clause( 177859, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 73.10/73.51 'c_List_Olinorder__class_Osorted'( 'c_List_Olist_OCons'( Y,
% 73.10/73.51 'c_List_Olist_OCons'( Z, T, X ), X ), X ), ~(
% 73.10/73.51 'c_List_Olinorder__class_Osorted'( 'c_List_Olist_OCons'( Z, T, X ), X ) )
% 73.10/73.51 , ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 73.10/73.51 , clause( 177860, [ =( 'c_List_Oreplicate'( 'c_HOL_Oplus__class_Oplus'( X,
% 73.10/73.51 Y, 'tc_nat' ), Z, T ), 'c_List_Oappend'( 'c_List_Oreplicate'( X, Z, T ),
% 73.10/73.51 'c_List_Oreplicate'( Y, Z, T ), T ) ) ] )
% 73.10/73.51 , clause( 177861, [ =( 'c_List_Otake'( 'c_Suc'( X ), Y, Z ),
% 73.10/73.51 'c_List_Olist_OCons'( 'c_List_Ohd'( Y, Z ), 'c_List_Otake'( X,
% 73.10/73.51 'c_List_Otl'( Y, Z ), Z ), Z ) ), =( Y, 'c_List_Olist_ONil'( Z ) ) ] )
% 73.10/73.51 , clause( 177862, [ =( 'c_List_Otake'( X, 'c_List_Odrop'( Y, Z, T ), T ),
% 73.10/73.51 'c_List_Odrop'( Y, 'c_List_Otake'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 73.10/73.51 'tc_nat' ), Z, T ), T ) ) ] )
% 73.10/73.51 , clause( 177863, [ =( 'c_List_Odrop'( X, 'c_List_Otake'( Y, Z, T ), T ),
% 73.10/73.51 'c_List_Otake'( 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ),
% 73.10/73.51 'c_List_Odrop'( X, Z, T ), T ) ) ] )
% 73.10/73.51 , clause( 177864, [ =( 'c_List_Orotate'( X, Y, Z ), 'c_List_Oappend'(
% 73.10/73.51 'c_List_Odrop'( 'c_Divides_Odiv__class_Omod'( X,
% 73.10/73.51 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ), Y, Z )
% 73.10/73.51 , 'c_List_Otake'( 'c_Divides_Odiv__class_Omod'( X,
% 73.10/73.51 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), 'tc_nat' ), Y, Z )
% 73.10/73.51 , Z ) ) ] )
% 73.10/73.51 , clause( 177865, [ =( 'c_List_Olast'( 'c_List_Olist__update'( X, Y, Z, T )
% 73.10/73.51 , T ), 'c_List_Olast'( X, T ) ), =( Y, 'c_HOL_Ominus__class_Ominus'(
% 73.10/73.51 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( T ) ),
% 73.10/73.51 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ), =( X,
% 73.10/73.51 'c_List_Olist_ONil'( T ) ) ] )
% 73.10/73.51 , clause( 177866, [ =( X, 'c_List_Olist_ONil'( Y ) ), =( 'c_List_Olast'(
% 73.10/73.51 'c_List_Olist__update'( X, 'c_HOL_Ominus__class_Ominus'(
% 73.10/73.51 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ),
% 73.10/73.51 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), Z, Y ), Y ), Z ) ] )
% 73.10/73.51 , clause( 177867, [ =( 'c_List_Otake'( X, 'c_List_Oreplicate'( Y, Z, T ), T
% 73.10/73.51 ), 'c_List_Oreplicate'( 'c_Orderings_Oord__class_Omin'( X, Y, 'tc_nat' )
% 73.10/73.51 , Z, T ) ) ] )
% 73.10/73.51 , clause( 177868, [ =( 'c_List_Odrop'( X, 'c_List_Oreplicate'( Y, Z, T ), T
% 73.10/73.51 ), 'c_List_Oreplicate'( 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ),
% 73.10/73.51 Z, T ) ) ] )
% 73.10/73.51 , clause( 177869, [ =( 'c_List_Otake'( X, 'c_List_Otl'( Y, Z ), Z ),
% 73.10/73.51 'c_List_Otl'( 'c_List_Otake'( 'c_Suc'( X ), Y, Z ), Z ) ) ] )
% 73.10/73.51 , clause( 177870, [ =( 'c_List_Odrop'( 'c_Suc'( X ), Y, Z ), 'c_List_Odrop'(
% 73.10/73.51 X, 'c_List_Otl'( Y, Z ), Z ) ) ] )
% 73.10/73.51 , clause( 177871, [ =( 'c_List_Orotate'( 'c_Suc'( X ), Y, Z ),
% 73.10/73.51 'c_List_Orotate1'( 'c_List_Orotate'( X, Y, Z ), Z ) ) ] )
% 73.10/73.51 , clause( 177872, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 73.10/73.51 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 73.10/73.51 X ), 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 73.10/73.51 , clause( 177873, [ ~( =( 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' )
% 73.10/73.51 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( 'c_List_Odrop'(
% 73.10/73.51 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), 'c_List_Olist_OCons'(
% 73.10/73.51 Y, Z, T ), T ), 'c_List_Olist_OCons'( Y, Z, T ) ) ] )
% 73.10/73.51 , clause( 177874, [ =( 'c_List_Olist__update'( 'c_List_Oappend'( X,
% 73.10/73.51 'c_List_Olist_OCons'( Y, Z, T ), T ), 'c_Nat_Osize__class_Osize'( X,
% 73.10/73.51 'tc_List_Olist'( T ) ), U, T ), 'c_List_Oappend'( X, 'c_List_Olist_OCons'(
% 73.10/73.51 U, Z, T ), T ) ) ] )
% 73.10/73.51 , clause( 177875, [ ~( =( X, 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( X
% 73.10/73.51 , 'tc_List_Olist'( Y ) ), Z, Y ) ) ), =( 'c_List_Oappend'( X,
% 73.10/73.51 'c_List_Odrop'( 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ), Z
% 73.10/73.51 , Y ), Y ), Z ) ] )
% 73.10/73.51 , clause( 177876, [ ~( =( 'c_List_Oappend'( 'c_List_Odrop'(
% 73.10/73.51 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ), Z, Y ),
% 73.10/73.51 'c_List_Oappend'( 'c_List_Odrop'( 'c_Nat_Osize__class_Osize'( Z,
% 73.10/73.51 'tc_List_Olist'( Y ) ), X, Y ), T, Y ), Y ), T ) ), ~( =( 'c_List_Otake'(
% 73.10/73.51 'c_Nat_Osize__class_Osize'( X, 'tc_List_Olist'( Y ) ), Z, Y ), X ) ), ~(
% 73.10/73.51 =( Z, 'c_List_Otake'( 'c_Nat_Osize__class_Osize'( Z, 'tc_List_Olist'( Y )
% 73.10/73.51 ), X, Y ) ) ), =( 'c_List_Oappend'( Z, 'c_List_Oappend'( 'c_List_Odrop'(
% 73.10/73.51 'c_Nat_Osize__class_Osize'( Z, 'tc_List_Olist'( Y ) ), X, Y ), T, Y ), Y
% 73.10/73.51 ), 'c_List_Oappend'( X, T, Y ) ) ] )
% 73.10/73.51 , clause( 177877, [ =( 'c_List_Olast'( 'c_List_Orev'( X, Y ), Y ),
% 73.10/73.51 'c_List_Ohd'( X, Y ) ), =( X, 'c_List_Olist_ONil'( Y ) ) ] )
% 73.10/73.51 , clause( 177878, [ =( 'c_List_Ohd'( 'c_List_Orev'( X, Y ), Y ),
% 73.10/73.51 'c_List_Olast'( X, Y ) ), =( X, 'c_List_Olist_ONil'( Y ) ) ] )
% 73.10/73.51 , clause( 177879, [ =( 'c_List_Otl'( 'c_List_Otake'( X, Y, Z ), Z ),
% 73.10/73.51 'c_List_Otake'( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oone__class_Oone'(
% 73.10/73.51 'tc_nat' ), 'tc_nat' ), 'c_List_Otl'( Y, Z ), Z ) ) ] )
% 73.10/73.51 , clause( 177880, [ ~( =( 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' )
% 73.10/73.51 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( 'c_List_Otake'(
% 73.10/73.51 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), 'c_List_Olist_OCons'(
% 73.10/73.51 Y, Z, T ), T ), 'c_List_Olist_ONil'( T ) ) ] )
% 73.10/73.51 , clause( 177881, [ =( 'c_List_Otake'( X, 'c_List_Olist_OCons'( Y, Z, T ),
% 73.10/73.51 T ), 'c_List_Olist_OCons'( Y, 'c_List_Otake'(
% 73.10/73.51 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 73.10/73.51 'tc_nat' ), Z, T ), T ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 73.10/73.51 ] )
% 73.10/73.51 , clause( 177882, [ =( 'c_List_Odrop'( X, 'c_List_Olist_OCons'( Y, Z, T ),
% 73.10/73.51 T ), 'c_List_Odrop'( 'c_HOL_Ominus__class_Ominus'( X,
% 73.10/73.51 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), Z, T ) ), =( X,
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177883, [ =( 'c_List_Otl'( 'c_List_Oreplicate'( X, Y, Z ), Z ),
% 73.10/73.51 'c_List_Oreplicate'( 'c_HOL_Ominus__class_Ominus'( X,
% 73.10/73.51 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), Y, Z ) ), =( X,
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177884, [ =( 'c_List_Osplice'( 'c_List_Olist_OCons'( X, Y, Z ), T
% 73.10/73.51 , Z ), 'c_List_Olist_OCons'( X, 'c_List_Olist_OCons'( 'c_List_Ohd'( T, Z
% 73.10/73.51 ), 'c_List_Osplice'( Y, 'c_List_Otl'( T, Z ), Z ), Z ), Z ) ), =( T,
% 73.10/73.51 'c_List_Olist_ONil'( Z ) ) ] )
% 73.10/73.51 , clause( 177885, [ =( 'c_List_Orotate1'( X, Y ), 'c_List_Oappend'(
% 73.10/73.51 'c_List_Otl'( X, Y ), 'c_List_Olist_OCons'( 'c_List_Ohd'( X, Y ),
% 73.10/73.51 'c_List_Olist_ONil'( Y ), Y ), Y ) ), =( X, 'c_List_Olist_ONil'( Y ) ) ]
% 73.10/73.51 )
% 73.10/73.51 , clause( 177886, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 73.10/73.51 'c_List_Olinorder__class_Osorted'( Y, X ), ~(
% 73.10/73.51 'c_List_Olinorder__class_Osorted'( 'c_List_Olist_OCons'( Z, Y, X ), X ) )
% 73.10/73.51 ] )
% 73.10/73.51 , clause( 177887, [ =( 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, Z, T )
% 73.10/73.51 , T ), 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, T ), Z, T ) ) ] )
% 73.10/73.51 , clause( 177888, [ =( 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, Z, T )
% 73.10/73.51 , T ), 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, T ), Z, T ) ) ] )
% 73.10/73.51 , clause( 177889, [ =( 'c_List_Oremove1'( X, 'c_List_Olist_OCons'( X, Y, Z
% 73.10/73.51 ), Z ), Y ) ] )
% 73.10/73.51 , clause( 177890, [ =( 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, Z ), T
% 73.10/73.51 , Z ), 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ] )
% 73.10/73.51 , clause( 177891, [ =( 'c_List_Oappend'( 'c_List_Olist_OCons'( X, Y, Z ), T
% 73.10/73.51 , Z ), 'c_List_Olist_OCons'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ] )
% 73.10/73.51 , clause( 177892, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 73.10/73.51 'c_List_Olinorder__class_Osorted'( 'c_List_Olist_OCons'( Y, Z, X ), X ),
% 73.10/73.51 ~( 'c_List_Olinorder__class_Osorted'( 'c_List_Olist_OCons'( T,
% 73.10/73.51 'c_List_Olist_OCons'( Y, Z, X ), X ), X ) ) ] )
% 73.10/73.51 , clause( 177893, [ =( 'c_List_OremoveAll'( X, 'c_List_Olist_OCons'( Y, Z,
% 73.10/73.51 T ), T ), 'c_List_Olist_OCons'( Y, 'c_List_OremoveAll'( X, Z, T ), T ) )
% 73.10/73.51 , =( X, Y ) ] )
% 73.10/73.51 , clause( 177894, [ =( 'c_List_Oremove1'( X, 'c_List_Olist_OCons'( Y, Z, T
% 73.10/73.51 ), T ), 'c_List_Olist_OCons'( Y, 'c_List_Oremove1'( X, Z, T ), T ) ),
% 73.10/73.51 =( X, Y ) ] )
% 73.10/73.51 , clause( 177895, [ =( 'c_List_Osplice'( 'c_List_Olist_OCons'( X, Y, Z ),
% 73.10/73.51 'c_List_Olist_OCons'( T, U, Z ), Z ), 'c_List_Olist_OCons'( X,
% 73.10/73.51 'c_List_Olist_OCons'( T, 'c_List_Osplice'( Y, U, Z ), Z ), Z ) ) ] )
% 73.10/73.51 , clause( 177896, [ 'c_List_Omember'( X, 'c_List_Olist_OCons'( Y, Z, T ), T
% 73.10/73.51 ), ~( 'c_List_Omember'( X, Z, T ) ) ] )
% 73.10/73.51 , clause( 177897, [ =( 'c_List_Otl'( 'c_List_Olist_OCons'( X, Y, Z ), Z ),
% 73.10/73.51 Y ) ] )
% 73.10/73.51 , clause( 177898, [ 'c_List_Omember'( X, 'c_List_Olist_OCons'( X, Y, Z ), Z
% 73.10/73.51 ) ] )
% 73.10/73.51 , clause( 177899, [ =( 'c_List_OremoveAll'( X, 'c_List_Olist_OCons'( X, Y,
% 73.10/73.51 Z ), Z ), 'c_List_OremoveAll'( X, Y, Z ) ) ] )
% 73.10/73.51 , clause( 177900, [ ~( 'c_List_Onull'( 'c_List_Olist_OCons'( X, Y, Z ), Z )
% 73.10/73.51 ) ] )
% 73.10/73.51 , clause( 177901, [ 'c_List_Omember'( X, Y, Z ), =( X, T ), ~(
% 73.10/73.51 'c_List_Omember'( X, 'c_List_Olist_OCons'( T, Y, Z ), Z ) ) ] )
% 73.10/73.51 , clause( 177902, [ =( 'c_List_Orev'( 'c_List_Oappend'( X, Y, Z ), Z ),
% 73.10/73.51 'c_List_Oappend'( 'c_List_Orev'( Y, Z ), 'c_List_Orev'( X, Z ), Z ) ) ]
% 73.10/73.51 )
% 73.10/73.51 , clause( 177903, [ ~( =( 'c_List_Oreplicate'( X, Y, Z ),
% 73.10/73.51 'c_List_Oreplicate'( T, U, Z ) ) ), =( Y, U ), =( X,
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177904, [ =( 'c_List_Olist__update'( 'c_List_Olist_OCons'( X, Y,
% 73.10/73.51 Z ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), T, Z ), 'c_List_Olist_OCons'(
% 73.10/73.51 T, Y, Z ) ) ] )
% 73.10/73.51 , clause( 177905, [ =( 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'(
% 73.10/73.51 'tc_nat' ), X, Y ), 'c_List_Olist_ONil'( Y ) ) ] )
% 73.10/73.51 , clause( 177906, [ =( 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'(
% 73.10/73.51 'tc_nat' ), X, Y ), 'c_List_Oreplicate'( 'c_HOL_Ozero__class_Ozero'(
% 73.10/73.51 'tc_nat' ), Z, Y ) ) ] )
% 73.10/73.51 , clause( 177907, [ =( 'c_List_Obutlast'( 'c_List_Oappend'( X,
% 73.10/73.51 'c_List_Olist_ONil'( Y ), Y ), Y ), 'c_List_Obutlast'( X, Y ) ) ] )
% 73.10/73.51 , clause( 177908, [ =( 'c_List_Olast'( 'c_List_Oreplicate'( X, Y, Z ), Z )
% 73.10/73.51 , Y ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177909, [ =( 'c_List_Obutlast'( 'c_List_Odrop'( X, Y, Z ), Z ),
% 73.10/73.51 'c_List_Odrop'( X, 'c_List_Obutlast'( Y, Z ), Z ) ) ] )
% 73.10/73.51 , clause( 177910, [ =( 'c_List_Oappend'( 'c_List_Otake'( X, Y, Z ),
% 73.10/73.51 'c_List_Odrop'( X, Y, Z ), Z ), Y ) ] )
% 73.10/73.51 , clause( 177911, [ =( 'c_List_Odrop'( 'c_HOL_Oone__class_Oone'( 'tc_nat' )
% 73.10/73.51 , 'c_List_Olist_OCons'( X, Y, Z ), Z ), Y ) ] )
% 73.10/73.51 , clause( 177912, [ ~( =( 'c_List_Otake'( X, Y, Z ), 'c_List_Olist_ONil'( Z
% 73.10/73.51 ) ) ), =( Y, 'c_List_Olist_ONil'( Z ) ), =( X,
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177913, [ =( 'c_List_Otl'( 'c_List_Odrop'( X, Y, Z ), Z ),
% 73.10/73.51 'c_List_Odrop'( X, 'c_List_Otl'( Y, Z ), Z ) ) ] )
% 73.10/73.51 , clause( 177914, [ =( 'c_List_Odrop'( X, 'c_List_Obutlast'( Y, Z ), Z ),
% 73.10/73.51 'c_List_Obutlast'( 'c_List_Odrop'( X, Y, Z ), Z ) ) ] )
% 73.10/73.51 , clause( 177915, [ =( 'c_List_Odrop'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 73.10/73.51 ), X, Y ), X ) ] )
% 73.10/73.51 , clause( 177916, [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 73.10/73.51 =( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ]
% 73.10/73.51 )
% 73.10/73.51 , clause( 177917, [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_OCons'(
% 73.10/73.51 T, U, Z ) ) ), =( 'c_List_Oappend'(
% 73.10/73.51 'c_List_Osko__List__Xappend__eq__Cons__conv__1__1'( T, U, X, Y, Z ), Y, Z
% 73.10/73.51 ), U ), =( Y, 'c_List_Olist_OCons'( T, U, Z ) ) ] )
% 73.10/73.51 , clause( 177918, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'(
% 73.10/73.51 T, U, Z ) ) ), =( 'c_List_Olist_OCons'( X,
% 73.10/73.51 'c_List_Osko__List__XCons__eq__append__conv__1__1'( X, Y, T, U, Z ), Z )
% 73.10/73.51 , T ), =( 'c_List_Olist_OCons'( X, Y, Z ), U ) ] )
% 73.10/73.51 , clause( 177919, [ =( 'c_List_Odrop'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 73.10/73.51 ), 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_List_Olist_OCons'( X, Y, Z )
% 73.10/73.51 ) ] )
% 73.10/73.51 , clause( 177920, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 73.10/73.51 'c_List_Olinorder__class_Osorted'( 'c_List_Odrop'( Y, Z, X ), X ), ~(
% 73.10/73.51 'c_List_Olinorder__class_Osorted'( Z, X ) ) ] )
% 73.10/73.51 , clause( 177921, [ =( 'c_List_Odrop'( X, 'c_List_Otl'( Y, Z ), Z ),
% 73.10/73.51 'c_List_Otl'( 'c_List_Odrop'( X, Y, Z ), Z ) ) ] )
% 73.10/73.51 , clause( 177922, [ ~( =( 'c_List_Oreplicate'( X, Y, Z ),
% 73.10/73.51 'c_List_Oreplicate'( T, U, Z ) ) ), =( X, T ) ] )
% 73.10/73.51 , clause( 177923, [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( T
% 73.10/73.51 , Y, Z ) ) ), =( X, T ) ] )
% 73.10/73.51 , clause( 177924, [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Oappend'( X
% 73.10/73.51 , T, Z ) ) ), =( Y, T ) ] )
% 73.10/73.51 , clause( 177925, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 73.10/73.51 'c_List_Olinorder__class_Osorted'( 'c_List_Otake'( Y, Z, X ), X ), ~(
% 73.10/73.51 'c_List_Olinorder__class_Osorted'( Z, X ) ) ] )
% 73.10/73.51 , clause( 177926, [ =( X, 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ) ) ] )
% 73.10/73.51 , clause( 177927, [ =( 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ), X ) ] )
% 73.10/73.51 , clause( 177928, [ =( 'c_List_Orev'( 'c_List_Orev'( X, Y ), Y ), X ) ] )
% 73.10/73.51 , clause( 177929, [ =( 'c_List_Oappend'( 'c_List_Obutlast'( X, Y ),
% 73.10/73.51 'c_List_Olist_OCons'( 'c_List_Olast'( X, Y ), 'c_List_Olist_ONil'( Y ), Y
% 73.10/73.51 ), Y ), X ), =( X, 'c_List_Olist_ONil'( Y ) ) ] )
% 73.10/73.51 , clause( 177930, [ =( 'c_List_Orev'( 'c_List_Oreplicate'( X, Y, Z ), Z ),
% 73.10/73.51 'c_List_Oreplicate'( X, Y, Z ) ) ] )
% 73.10/73.51 , clause( 177931, [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 73.10/73.51 =( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ]
% 73.10/73.51 )
% 73.10/73.51 , clause( 177932, [ =( 'c_List_Otl'( 'c_List_Oappend'( X, Y, Z ), Z ),
% 73.10/73.51 'c_List_Oappend'( 'c_List_Otl'( X, Z ), Y, Z ) ), =( X,
% 73.10/73.51 'c_List_Olist_ONil'( Z ) ) ] )
% 73.10/73.51 , clause( 177933, [ =( 'c_List_OremoveAll'( X, 'c_List_Oappend'( Y, Z, T )
% 73.10/73.51 , T ), 'c_List_Oappend'( 'c_List_OremoveAll'( X, Y, T ),
% 73.10/73.51 'c_List_OremoveAll'( X, Z, T ), T ) ) ] )
% 73.10/73.51 , clause( 177934, [ =( 'c_List_Olist_ONil'( X ), 'c_List_Oreplicate'(
% 73.10/73.51 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, X ) ) ] )
% 73.10/73.51 , clause( 177935, [ =( 'c_List_Olast'( 'c_List_Oappend'( X, Y, Z ), Z ),
% 73.10/73.51 'c_List_Olast'( Y, Z ) ), =( Y, 'c_List_Olist_ONil'( Z ) ) ] )
% 73.10/73.51 , clause( 177936, [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ),
% 73.10/73.51 'c_List_Oreplicate'( T, Y, Z ), Z ), 'c_List_Oappend'(
% 73.10/73.51 'c_List_Oreplicate'( T, Y, Z ), 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ]
% 73.10/73.51 )
% 73.10/73.51 , clause( 177937, [ =( 'c_List_Oremove1'( X, Y, Z ), 'c_List_OremoveAll'( X
% 73.10/73.51 , Y, Z ) ), ~( 'c_List_Odistinct'( Y, Z ) ) ] )
% 73.10/73.51 , clause( 177938, [ =( 'c_List_Otake'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 73.10/73.51 ), X, Y ), 'c_List_Olist_ONil'( Y ) ) ] )
% 73.10/73.51 , clause( 177939, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Orev'( Z, Y ) ) )
% 73.10/73.51 , =( X, Z ) ] )
% 73.10/73.51 , clause( 177940, [ =( 'c_List_Olast'( 'c_List_Oappend'( X,
% 73.10/73.51 'c_List_Olist_ONil'( Y ), Y ), Y ), 'c_List_Olast'( X, Y ) ) ] )
% 73.10/73.51 , clause( 177941, [ ~( =( 'c_List_Oreplicate'( X, Y, Z ),
% 73.10/73.51 'c_List_Olist_ONil'( Z ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 73.10/73.51 ) ) ] )
% 73.10/73.51 , clause( 177942, [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oreplicate'( Y
% 73.10/73.51 , Z, X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 73.10/73.51 , clause( 177943, [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_OCons'(
% 73.10/73.51 T, U, Z ) ) ), =( X, 'c_List_Olist_OCons'( T,
% 73.10/73.51 'c_List_Osko__List__Xappend__eq__Cons__conv__1__1'( T, U, X, Y, Z ), Z )
% 73.10/73.51 ), =( Y, 'c_List_Olist_OCons'( T, U, Z ) ) ] )
% 73.10/73.51 , clause( 177944, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'(
% 73.10/73.51 T, U, Z ) ) ), =( Y, 'c_List_Oappend'(
% 73.10/73.51 'c_List_Osko__List__XCons__eq__append__conv__1__1'( X, Y, T, U, Z ), U, Z
% 73.10/73.51 ) ), =( 'c_List_Olist_OCons'( X, Y, Z ), U ) ] )
% 73.10/73.51 , clause( 177945, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 73.10/73.51 'c_List_Olinorder__class_Osorted'( Y, X ), ~(
% 73.10/73.51 'c_List_Olinorder__class_Osorted'( 'c_List_Oappend'( Y, Z, X ), X ) ) ]
% 73.10/73.51 )
% 73.10/73.51 , clause( 177946, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 73.10/73.51 'c_List_Olinorder__class_Osorted'( Y, X ), ~(
% 73.10/73.51 'c_List_Olinorder__class_Osorted'( 'c_List_Oappend'( Z, Y, X ), X ) ) ]
% 73.10/73.51 )
% 73.10/73.51 , clause( 177947, [ =( 'c_List_Olist__update'( 'c_List_Olist__update'( X, Y
% 73.10/73.51 , Z, T ), U, W, T ), 'c_List_Olist__update'( 'c_List_Olist__update'( X, U
% 73.10/73.51 , W, T ), Y, Z, T ) ), =( Y, U ) ] )
% 73.10/73.51 , clause( 177948, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 73.10/73.51 'c_List_Olinorder__class_Osorted'( 'c_List_Oremdups'( Y, X ), X ), ~(
% 73.10/73.51 'c_List_Olinorder__class_Osorted'( Y, X ) ) ] )
% 73.10/73.51 , clause( 177949, [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ),
% 73.10/73.51 'c_List_Olist_OCons'( Y, T, Z ), Z ), 'c_List_Olist_OCons'( Y,
% 73.10/73.51 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ), T, Z ), Z ) ) ] )
% 73.10/73.51 , clause( 177950, [ =( 'c_List_Obutlast'( 'c_List_Oappend'( X, Y, Z ), Z )
% 73.10/73.51 , 'c_List_Oappend'( X, 'c_List_Obutlast'( Y, Z ), Z ) ), =( Y,
% 73.10/73.51 'c_List_Olist_ONil'( Z ) ) ] )
% 73.10/73.51 , clause( 177951, [ =( 'c_List_Orotate1'( 'c_List_Orotate'( X, Y, Z ), Z )
% 73.10/73.51 , 'c_List_Orotate'( X, 'c_List_Orotate1'( Y, Z ), Z ) ) ] )
% 73.10/73.51 , clause( 177952, [ =( 'c_List_Olist__update'( 'c_List_Olist__update'( X, Y
% 73.10/73.51 , Z, T ), Y, U, T ), 'c_List_Olist__update'( X, Y, U, T ) ) ] )
% 73.10/73.51 , clause( 177953, [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z
% 73.10/73.51 ), 'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ] )
% 73.10/73.51 , clause( 177954, [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T
% 73.10/73.51 ), 'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ] )
% 73.10/73.51 , clause( 177955, [ =( 'c_List_Oappend'( 'c_List_Oappend'( X, Y, Z ), T, Z
% 73.10/73.51 ), 'c_List_Oappend'( X, 'c_List_Oappend'( Y, T, Z ), Z ) ) ] )
% 73.10/73.51 , clause( 177956, [ =( 'c_List_Oappend'( X, 'c_List_Oappend'( Y, Z, T ), T
% 73.10/73.51 ), 'c_List_Oappend'( 'c_List_Oappend'( X, Y, T ), Z, T ) ) ] )
% 73.10/73.51 , clause( 177957, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 73.10/73.51 'c_List_Olinorder__class_Osorted'( 'c_List_Oremove1'( Y, Z, X ), X ), ~(
% 73.10/73.51 'c_List_Olinorder__class_Osorted'( Z, X ) ) ] )
% 73.10/73.51 , clause( 177958, [ =( X, 'c_List_Olist_OCons'(
% 73.10/73.51 'c_List_Osko__List__Xlist__Xnchotomy__1__1'( X, Y ),
% 73.10/73.51 'c_List_Osko__List__Xlist__Xnchotomy__1__2'( X, Y ), Y ) ), =( X,
% 73.10/73.51 'c_List_Olist_ONil'( Y ) ) ] )
% 73.10/73.51 , clause( 177959, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'(
% 73.10/73.51 T, U, Z ) ) ), =( Y, 'c_List_Oappend'(
% 73.10/73.51 'c_List_Osko__List__XCons__eq__append__conv__1__1'( X, Y, T, U, Z ), U, Z
% 73.10/73.51 ) ), =( T, 'c_List_Olist_ONil'( Z ) ) ] )
% 73.10/73.51 , clause( 177960, [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_OCons'(
% 73.10/73.51 T, U, Z ) ) ), =( X, 'c_List_Olist_OCons'( T,
% 73.10/73.51 'c_List_Osko__List__Xappend__eq__Cons__conv__1__1'( T, U, X, Y, Z ), Z )
% 73.10/73.51 ), =( X, 'c_List_Olist_ONil'( Z ) ) ] )
% 73.10/73.51 , clause( 177961, [ =( 'c_List_Olast'( 'c_List_Oappend'( X,
% 73.10/73.51 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'( Z ), Z ), Z ), Z ), Y ) ]
% 73.10/73.51 )
% 73.10/73.51 , clause( 177962, [ =( 'c_List_Obutlast'( 'c_List_Oappend'( X,
% 73.10/73.51 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'( Z ), Z ), Z ), Z ), X ) ]
% 73.10/73.51 )
% 73.10/73.51 , clause( 177963, [ =( X, 'c_List_Olist_OCons'(
% 73.10/73.51 'c_List_Osko__List__Xlist__Xexhaust__1__1'( X, Y ),
% 73.10/73.51 'c_List_Osko__List__Xlist__Xexhaust__1__2'( X, Y ), Y ) ), =( X,
% 73.10/73.51 'c_List_Olist_ONil'( Y ) ) ] )
% 73.10/73.51 , clause( 177964, [ =( 'c_List_Otake'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 73.10/73.51 ), 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_List_Olist_ONil'( Z ) ) ] )
% 73.10/73.51 , clause( 177965, [ =( X, 'c_List_Olist_OCons'(
% 73.10/73.51 'c_List_Osko__List__Xneq__Nil__conv__1__1'( X, Y ),
% 73.10/73.51 'c_List_Osko__List__Xneq__Nil__conv__1__2'( X, Y ), Y ) ), =( X,
% 73.10/73.51 'c_List_Olist_ONil'( Y ) ) ] )
% 73.10/73.51 , clause( 177966, [ =( 'c_List_Otake'( 'c_HOL_Oone__class_Oone'( 'tc_nat' )
% 73.10/73.51 , 'c_List_Olist_OCons'( X, Y, Z ), Z ), 'c_List_Olist_OCons'( X,
% 73.10/73.51 'c_List_Olist_ONil'( Z ), Z ) ) ] )
% 73.10/73.51 , clause( 177967, [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_OCons'(
% 73.10/73.51 T, U, Z ) ) ), =( 'c_List_Oappend'(
% 73.10/73.51 'c_List_Osko__List__Xappend__eq__Cons__conv__1__1'( T, U, X, Y, Z ), Y, Z
% 73.10/73.51 ), U ), =( X, 'c_List_Olist_ONil'( Z ) ) ] )
% 73.10/73.51 , clause( 177968, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'(
% 73.10/73.51 T, U, Z ) ) ), =( 'c_List_Olist_OCons'( X,
% 73.10/73.51 'c_List_Osko__List__XCons__eq__append__conv__1__1'( X, Y, T, U, Z ), Z )
% 73.10/73.51 , T ), =( T, 'c_List_Olist_ONil'( Z ) ) ] )
% 73.10/73.51 , clause( 177969, [ =( 'c_List_Orev'( 'c_List_Olist_OCons'( X, Y, Z ), Z )
% 73.10/73.51 , 'c_List_Oappend'( 'c_List_Orev'( Y, Z ), 'c_List_Olist_OCons'( X,
% 73.10/73.51 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ] )
% 73.10/73.51 , clause( 177970, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z, T
% 73.10/73.51 , Y ) ) ), =( X, 'c_List_Oappend'( 'c_List_Orev'( T, Y ),
% 73.10/73.51 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( Y ), Y ), Y ) ) ] )
% 73.10/73.51 , clause( 177971, [ =( 'c_List_Orev'( 'c_List_Oappend'( 'c_List_Orev'( X, Y
% 73.10/73.51 ), 'c_List_Olist_OCons'( Z, 'c_List_Olist_ONil'( Y ), Y ), Y ), Y ),
% 73.10/73.51 'c_List_Olist_OCons'( Z, X, Y ) ) ] )
% 73.10/73.51 , clause( 177972, [ =( 'c_List_Orotate1'( 'c_List_Olist_OCons'( X, Y, Z ),
% 73.10/73.51 Z ), 'c_List_Oappend'( Y, 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Z
% 73.10/73.51 ), Z ), Z ) ) ] )
% 73.10/73.51 , clause( 177973, [ =( 'c_List_Oappend'( 'c_List_Oreplicate'( X, Y, Z ),
% 73.10/73.51 'c_List_Olist_OCons'( Y, 'c_List_Olist_ONil'( Z ), Z ), Z ),
% 73.10/73.51 'c_List_Olist_OCons'( Y, 'c_List_Oreplicate'( X, Y, Z ), Z ) ) ] )
% 73.10/73.51 , clause( 177974, [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ),
% 73.10/73.51 'c_List_Olist_ONil'( X ), X ), 'c_List_Olist_ONil'( X ) ) ] )
% 73.10/73.51 , clause( 177975, [ =( X, 'c_List_Olist_ONil'( Y ) ), ~( 'c_List_Onull'( X
% 73.10/73.51 , Y ) ) ] )
% 73.10/73.51 , clause( 177976, [ =( 'c_List_OremoveAll'( X, 'c_List_Olist_ONil'( Y ), Y
% 73.10/73.51 ), 'c_List_Olist_ONil'( Y ) ) ] )
% 73.10/73.51 , clause( 177977, [ =( 'c_List_Olist_ONil'( X ), 'c_List_Orev'(
% 73.10/73.51 'c_List_Olist_ONil'( X ), X ) ) ] )
% 73.10/73.51 , clause( 177978, [ =( 'c_List_Obutlast'( 'c_List_Olist_ONil'( X ), X ),
% 73.10/73.51 'c_List_Olist_ONil'( X ) ) ] )
% 73.10/73.51 , clause( 177979, [ =( 'c_List_Olist_ONil'( X ), 'c_List_Oremdups'(
% 73.10/73.51 'c_List_Olist_ONil'( X ), X ) ) ] )
% 73.10/73.51 , clause( 177980, [ ~( =( X, 'c_List_Oappend'( Y, X, Z ) ) ), =( Y,
% 73.10/73.51 'c_List_Olist_ONil'( Z ) ) ] )
% 73.10/73.51 , clause( 177981, [ ~( =( 'c_List_Oappend'( X, Y, Z ), Y ) ), =( X,
% 73.10/73.51 'c_List_Olist_ONil'( Z ) ) ] )
% 73.10/73.51 , clause( 177982, [ ~( =( X, 'c_List_Oappend'( X, Y, Z ) ) ), =( Y,
% 73.10/73.51 'c_List_Olist_ONil'( Z ) ) ] )
% 73.10/73.51 , clause( 177983, [ ~( =( 'c_List_Oappend'( X, Y, Z ), X ) ), =( Y,
% 73.10/73.51 'c_List_Olist_ONil'( Z ) ) ] )
% 73.10/73.51 , clause( 177984, [ ~( =( 'c_List_Oremdups'( X, Y ), 'c_List_Olist_ONil'( Y
% 73.10/73.51 ) ) ), =( X, 'c_List_Olist_ONil'( Y ) ) ] )
% 73.10/73.51 , clause( 177985, [ =( 'c_List_Osplice'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 73.10/73.51 X ) ] )
% 73.10/73.51 , clause( 177986, [ =( 'c_List_Osplice'( 'c_List_Olist_ONil'( X ), Y, X ),
% 73.10/73.51 Y ) ] )
% 73.10/73.51 , clause( 177987, [ =( 'c_List_Otl'( 'c_List_Olist_ONil'( X ), X ),
% 73.10/73.51 'c_List_Olist_ONil'( X ) ) ] )
% 73.10/73.51 , clause( 177988, [ ~( =( 'c_List_Orotate'( X, Y, Z ), 'c_List_Olist_ONil'(
% 73.10/73.51 Z ) ) ), =( Y, 'c_List_Olist_ONil'( Z ) ) ] )
% 73.10/73.51 , clause( 177989, [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Orev'( Y, X ) )
% 73.10/73.51 ), =( Y, 'c_List_Olist_ONil'( X ) ) ] )
% 73.10/73.51 , clause( 177990, [ ~( 'c_List_Omember'( X, 'c_List_Olist_ONil'( Y ), Y ) )
% 73.10/73.51 ] )
% 73.10/73.51 , clause( 177991, [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'(
% 73.10/73.51 Z ) ) ), =( Y, 'c_List_Olist_ONil'( Z ) ) ] )
% 73.10/73.51 , clause( 177992, [ ~( =( 'c_List_Oappend'( X, Y, Z ), 'c_List_Olist_ONil'(
% 73.10/73.51 Z ) ) ), =( X, 'c_List_Olist_ONil'( Z ) ) ] )
% 73.10/73.51 , clause( 177993, [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z
% 73.10/73.51 , X ) ) ), =( Z, 'c_List_Olist_ONil'( X ) ) ] )
% 73.10/73.51 , clause( 177994, [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'( Y, Z
% 73.10/73.51 , X ) ) ), =( Y, 'c_List_Olist_ONil'( X ) ) ] )
% 73.10/73.51 , clause( 177995, [ =( 'c_List_Oremdups'( 'c_List_Olist_ONil'( X ), X ),
% 73.10/73.51 'c_List_Olist_ONil'( X ) ) ] )
% 73.10/73.51 , clause( 177996, [ =( 'c_List_Odrop'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 73.10/73.51 'c_List_Olist_ONil'( Y ) ) ] )
% 73.10/73.51 , clause( 177997, [ =( 'c_List_Olist__inter'( 'c_List_Olist_ONil'( X ), Y,
% 73.10/73.51 X ), 'c_List_Olist_ONil'( X ) ) ] )
% 73.10/73.51 , clause( 177998, [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y
% 73.10/73.51 ) ) ] )
% 73.10/73.51 , clause( 177999, [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ), Y, X ),
% 73.10/73.51 Y ) ] )
% 73.10/73.51 , clause( 178000, [ =( X, 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y
% 73.10/73.51 ) ) ] )
% 73.10/73.51 , clause( 178001, [ =( X, 'c_List_Oappend'( 'c_List_Olist_ONil'( Y ), X, Y
% 73.10/73.51 ) ) ] )
% 73.10/73.51 , clause( 178002, [ =( 'c_List_Oappend'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 73.10/73.51 X ) ] )
% 73.10/73.51 , clause( 178003, [ ~( =( 'c_List_Orotate1'( X, Y ), 'c_List_Olist_ONil'( Y
% 73.10/73.51 ) ) ), =( X, 'c_List_Olist_ONil'( Y ) ) ] )
% 73.10/73.51 , clause( 178004, [ =( 'c_List_Otake'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 73.10/73.51 'c_List_Olist_ONil'( Y ) ) ] )
% 73.10/73.51 , clause( 178005, [ =( 'c_List_Orotate1'( 'c_List_Olist_ONil'( X ), X ),
% 73.10/73.51 'c_List_Olist_ONil'( X ) ) ] )
% 73.10/73.51 , clause( 178006, [ 'c_List_Onull'( 'c_List_Olist_ONil'( X ), X ) ] )
% 73.10/73.51 , clause( 178007, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 73.10/73.51 'c_List_Olinorder__class_Osorted'( 'c_List_Olist_ONil'( X ), X ) ] )
% 73.10/73.51 , clause( 178008, [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Oremdups'( Y, X
% 73.10/73.51 ) ) ), =( Y, 'c_List_Olist_ONil'( X ) ) ] )
% 73.10/73.51 , clause( 178009, [ =( 'c_List_Olist__update'( 'c_List_Olist_ONil'( X ), Y
% 73.10/73.51 , Z, X ), 'c_List_Olist_ONil'( X ) ) ] )
% 73.10/73.51 , clause( 178010, [ =( 'c_List_Olist__update'( 'c_List_Olist_ONil'( X ), Y
% 73.10/73.51 , Z, X ), 'c_List_Olist_ONil'( X ) ) ] )
% 73.10/73.51 , clause( 178011, [ =( 'c_List_Olist__update'( 'c_List_Olist_ONil'( X ), Y
% 73.10/73.51 , Z, X ), 'c_List_Olist_ONil'( X ) ) ] )
% 73.10/73.51 , clause( 178012, [ =( 'c_List_Oremove1'( X, 'c_List_Olist_ONil'( Y ), Y )
% 73.10/73.51 , 'c_List_Olist_ONil'( Y ) ) ] )
% 73.10/73.51 , clause( 178013, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_ONil'( Y ) )
% 73.10/73.51 ), =( X, 'c_List_Olist_ONil'( Y ) ) ] )
% 73.10/73.51 , clause( 178014, [ =( 'c_List_Orotate'( X, 'c_List_Olist_ONil'( Y ), Y ),
% 73.10/73.51 'c_List_Olist_ONil'( Y ) ) ] )
% 73.10/73.51 , clause( 178015, [ =( 'c_List_Olist_ONil'( X ), 'c_List_Oappend'(
% 73.10/73.51 'c_List_Olist_ONil'( X ), 'c_List_Olist_ONil'( X ), X ) ) ] )
% 73.10/73.51 , clause( 178016, [ =( 'c_List_Orev'( 'c_List_Olist_ONil'( X ), X ),
% 73.10/73.51 'c_List_Olist_ONil'( X ) ) ] )
% 73.10/73.51 , clause( 178017, [ ~( =( 'c_List_Olist__update'( X, Y, Z, T ),
% 73.10/73.51 'c_List_Olist_ONil'( T ) ) ), =( X, 'c_List_Olist_ONil'( T ) ) ] )
% 73.10/73.51 , clause( 178018, [ 'c_List_Odistinct'( 'c_List_Oremdups'( X, Y ), Y ) ] )
% 73.10/73.51 , clause( 178019, [ 'c_List_Odistinct'( 'c_List_Orotate'( X, Y, Z ), Z ),
% 73.10/73.51 ~( 'c_List_Odistinct'( Y, Z ) ) ] )
% 73.10/73.51 , clause( 178020, [ 'c_List_Odistinct'( X, Y ), ~( 'c_List_Odistinct'(
% 73.10/73.51 'c_List_Orotate'( Z, X, Y ), Y ) ) ] )
% 73.10/73.51 , clause( 178021, [ 'c_List_Odistinct'( 'c_List_Oremove1'( X, Y, Z ), Z ),
% 73.10/73.51 ~( 'c_List_Odistinct'( Y, Z ) ) ] )
% 73.10/73.51 , clause( 178022, [ 'c_List_Odistinct'( X, Y ), ~( 'c_List_Odistinct'(
% 73.10/73.51 'c_List_Oappend'( Z, X, Y ), Y ) ) ] )
% 73.10/73.51 , clause( 178023, [ 'c_List_Odistinct'( X, Y ), ~( 'c_List_Odistinct'(
% 73.10/73.51 'c_List_Oappend'( X, Z, Y ), Y ) ) ] )
% 73.10/73.51 , clause( 178024, [ 'c_List_Odistinct'( 'c_List_Orotate1'( X, Y ), Y ), ~(
% 73.10/73.51 'c_List_Odistinct'( X, Y ) ) ] )
% 73.10/73.51 , clause( 178025, [ 'c_List_Odistinct'( X, Y ), ~( 'c_List_Odistinct'(
% 73.10/73.51 'c_List_Orotate1'( X, Y ), Y ) ) ] )
% 73.10/73.51 , clause( 178026, [ 'c_List_Odistinct'( 'c_List_Odrop'( X, Y, Z ), Z ), ~(
% 73.10/73.51 'c_List_Odistinct'( Y, Z ) ) ] )
% 73.10/73.51 , clause( 178027, [ 'c_List_Odistinct'( 'c_List_Orev'( X, Y ), Y ), ~(
% 73.10/73.51 'c_List_Odistinct'( X, Y ) ) ] )
% 73.10/73.51 , clause( 178028, [ 'c_List_Odistinct'( X, Y ), ~( 'c_List_Odistinct'(
% 73.10/73.51 'c_List_Orev'( X, Y ), Y ) ) ] )
% 73.10/73.51 , clause( 178029, [ ~( =( 'c_List_Oremdups'( X, Y ), X ) ),
% 73.10/73.51 'c_List_Odistinct'( X, Y ) ] )
% 73.10/73.51 , clause( 178030, [ =( 'c_List_Oremdups'( X, Y ), X ), ~(
% 73.10/73.51 'c_List_Odistinct'( X, Y ) ) ] )
% 73.10/73.51 , clause( 178031, [ 'c_List_Odistinct'( 'c_List_Otake'( X, Y, Z ), Z ), ~(
% 73.10/73.51 'c_List_Odistinct'( Y, Z ) ) ] )
% 73.10/73.51 , clause( 178032, [ 'c_List_Odistinct'( 'c_List_Olist_OCons'(
% 73.10/73.51 'v_sko__Arrow__Order__Mirabelle__Xalt3__1', 'c_List_Olist_OCons'(
% 73.10/73.51 'v_sko__Arrow__Order__Mirabelle__Xalt3__2', 'c_List_Olist_OCons'(
% 73.10/73.51 'v_sko__Arrow__Order__Mirabelle__Xalt3__3', 'c_List_Olist_ONil'(
% 73.10/73.51 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt' )
% 73.10/73.51 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt'
% 73.10/73.51 ), 'tc_Arrow__Order__Mirabelle_Oalt' ) ] )
% 73.10/73.51 , clause( 178033, [ ~( =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 73.10/73.51 'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Oappend'( T,
% 73.10/73.51 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ), =( Y, U
% 73.10/73.51 ) ] )
% 73.10/73.51 , clause( 178034, [ ~( =( 'c_List_Oappend'( X, 'c_List_Olist_OCons'( Y,
% 73.10/73.51 'c_List_Olist_ONil'( Z ), Z ), Z ), 'c_List_Oappend'( T,
% 73.10/73.51 'c_List_Olist_OCons'( U, 'c_List_Olist_ONil'( Z ), Z ), Z ) ) ), =( X, T
% 73.10/73.51 ) ] )
% 73.10/73.51 , clause( 178035, [ =( 'c_List_Oappend'( 'c_List_Olist_ONil'( X ),
% 73.10/73.51 'c_List_Olist_OCons'( Y, Z, X ), X ), 'c_List_Olist_OCons'( Y, Z, X ) ) ]
% 73.10/73.51 )
% 73.10/73.51 , clause( 178036, [ =( 'c_List_Obutlast'( 'c_List_Olist_OCons'( X, Y, Z ),
% 73.10/73.51 Z ), 'c_List_Olist_OCons'( X, 'c_List_Obutlast'( Y, Z ), Z ) ), =( Y,
% 73.10/73.51 'c_List_Olist_ONil'( Z ) ) ] )
% 73.10/73.51 , clause( 178037, [ =( 'c_List_Olast'( 'c_List_Olist_OCons'( X,
% 73.10/73.51 'c_List_Olist_ONil'( Y ), Y ), Y ), X ) ] )
% 73.10/73.51 , clause( 178038, [ =( 'c_List_Obutlast'( 'c_List_Olist_OCons'( X,
% 73.10/73.51 'c_List_Olist_ONil'( Y ), Y ), Y ), 'c_List_Olist_ONil'( Y ) ) ] )
% 73.10/73.51 , clause( 178039, [ =( 'c_List_Osplice'( 'c_List_Olist_OCons'( X, Y, Z ),
% 73.10/73.51 'c_List_Olist_ONil'( Z ), Z ), 'c_List_Olist_OCons'( X, Y, Z ) ) ] )
% 73.10/73.51 , clause( 178040, [ ~( =( 'c_List_Orev'( X, Y ), 'c_List_Olist_OCons'( Z,
% 73.10/73.51 'c_List_Olist_ONil'( Y ), Y ) ) ), =( X, 'c_List_Olist_OCons'( Z,
% 73.10/73.51 'c_List_Olist_ONil'( Y ), Y ) ) ] )
% 73.10/73.51 , clause( 178041, [ ~( =( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y )
% 73.10/73.51 , Y ), 'c_List_Orev'( Z, Y ) ) ), =( Z, 'c_List_Olist_OCons'( X,
% 73.10/73.51 'c_List_Olist_ONil'( Y ), Y ) ) ] )
% 73.10/73.51 , clause( 178042, [ =( 'c_List_Orev'( 'c_List_Olist_OCons'( X,
% 73.10/73.51 'c_List_Olist_ONil'( Y ), Y ), Y ), 'c_List_Olist_OCons'( X,
% 73.10/73.51 'c_List_Olist_ONil'( Y ), Y ) ) ] )
% 73.10/73.51 , clause( 178043, [ =( 'c_List_Olast'( 'c_List_Olist_OCons'( X, Y, Z ), Z )
% 73.10/73.51 , 'c_List_Olast'( Y, Z ) ), =( Y, 'c_List_Olist_ONil'( Z ) ) ] )
% 73.10/73.51 , clause( 178044, [ =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Oappend'(
% 73.10/73.51 'c_List_Olist_ONil'( Z ), 'c_List_Olist_OCons'( X, Y, Z ), Z ) ) ] )
% 73.10/73.51 , clause( 178045, [ =( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y
% 73.10/73.51 ), 'c_List_Orev'( 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'( Y ), Y )
% 73.10/73.51 , Y ) ) ] )
% 73.10/73.51 , clause( 178046, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 73.10/73.51 'c_List_Olinorder__class_Osorted'( 'c_List_Olist_OCons'( Y,
% 73.10/73.51 'c_List_Olist_ONil'( X ), X ), X ) ] )
% 73.10/73.51 , clause( 178047, [ 'c_List_Odistinct'( 'c_List_Olist_OCons'( X,
% 73.10/73.51 'c_List_Olist_OCons'( Y, 'c_List_Olist_OCons'(
% 73.10/73.51 'v_sko__Arrow__Order__Mirabelle__Xthird__alt__1'( X, Y ),
% 73.10/73.51 'c_List_Olist_ONil'( 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 73.10/73.51 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt' )
% 73.10/73.51 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt'
% 73.10/73.51 ), =( X, Y ) ] )
% 73.10/73.51 , clause( 178048, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ),
% 73.10/73.51 'c_List_Olist_OCons'( T, U, Z ) ) ), =( Y, U ) ] )
% 73.10/73.51 , clause( 178049, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ),
% 73.10/73.51 'c_List_Olist_OCons'( T, U, Z ) ) ), =( X, T ) ] )
% 73.10/73.51 , clause( 178050, [ 'c_List_Odistinct'( 'c_List_Olist_ONil'( X ), X ) ] )
% 73.10/73.51 , clause( 178051, [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Olist_OCons'( Y
% 73.10/73.51 , Z, X ) ) ) ] )
% 73.10/73.51 , clause( 178052, [ 'v_thesis____', ~( 'c_List_Odistinct'(
% 73.10/73.51 'c_List_Olist_OCons'( 'v_a____', 'c_List_Olist_OCons'( 'v_b____',
% 73.10/73.51 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'(
% 73.10/73.51 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt' )
% 73.10/73.51 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt'
% 73.10/73.51 ), 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ] )
% 73.10/73.51 , clause( 178053, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ),
% 73.10/73.51 'c_List_Olist_ONil'( Z ) ) ) ] )
% 73.10/73.51 , clause( 178054, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ),
% 73.10/73.51 'c_List_Olist_ONil'( Z ) ) ) ] )
% 73.10/73.51 , clause( 178055, [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), Y ) ) ] )
% 73.10/73.51 , clause( 178056, [ ~( =( X, 'c_List_Olist_OCons'( Y, X, Z ) ) ) ] )
% 73.10/73.51 , clause( 178057, [ 'c_List_Odistinct'( X, Y ), ~( 'c_List_Odistinct'(
% 73.10/73.51 'c_List_Olist_OCons'( Z, X, Y ), Y ) ) ] )
% 73.10/73.51 , clause( 178058, [ 'c_List_Odistinct'( 'c_List_Olist_OCons'( X,
% 73.10/73.51 'c_List_Olist_OCons'( Y, 'c_List_Olist_OCons'( 'v_sko__CHAINED__1'( X, Y
% 73.10/73.51 ), 'c_List_Olist_ONil'( 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 73.10/73.51 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt' )
% 73.10/73.51 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt'
% 73.10/73.51 ), =( X, Y ) ] )
% 73.10/73.51 , clause( 178059, [ ~( =( 'v_a____', 'v_b____' ) ) ] )
% 73.10/73.51 , clause( 178060, [ ~( 'v_thesis____' ) ] )
% 73.10/73.51 , clause( 178061, [ 'v_thesis____', ~( 'c_List_Odistinct'(
% 73.10/73.51 'c_List_Olist_OCons'( 'v_a____', 'c_List_Olist_OCons'( 'v_b____',
% 73.10/73.51 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'(
% 73.10/73.51 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt' )
% 73.10/73.51 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt'
% 73.10/73.51 ), 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ] )
% 73.10/73.51 , clause( 178062, [
% 73.10/73.51 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' ) ]
% 73.10/73.51 )
% 73.10/73.51 , clause( 178063, [
% 73.10/73.51 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat' ) ]
% 73.10/73.51 )
% 73.10/73.51 , clause( 178064, [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 73.10/73.51 'tc_nat' ) ] )
% 73.10/73.51 , clause( 178065, [ 'class_OrderedGroup_Opordered__comm__monoid__add'(
% 73.10/73.51 'tc_nat' ) ] )
% 73.10/73.51 , clause( 178066, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 73.10/73.51 'tc_nat' ) ] )
% 73.10/73.51 , clause( 178067, [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat'
% 73.10/73.51 ) ] )
% 73.10/73.51 , clause( 178068, [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat'
% 73.10/73.51 ) ] )
% 73.10/73.51 , clause( 178069, [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' )
% 73.10/73.51 ] )
% 73.10/73.51 , clause( 178070, [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' )
% 73.10/73.51 ] )
% 73.10/73.51 , clause( 178071, [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ]
% 73.10/73.51 )
% 73.10/73.51 , clause( 178072, [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ]
% 73.10/73.51 )
% 73.10/73.51 , clause( 178073, [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ]
% 73.10/73.51 )
% 73.10/73.51 , clause( 178074, [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ] )
% 73.10/73.51 , clause( 178075, [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ] )
% 73.10/73.51 , clause( 178076, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ] )
% 73.10/73.51 , clause( 178077, [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ] )
% 73.10/73.51 , clause( 178078, [ 'class_Divides_Osemiring__div'( 'tc_nat' ) ] )
% 73.10/73.51 , clause( 178079, [ 'class_Orderings_Opreorder'( 'tc_nat' ) ] )
% 73.10/73.51 , clause( 178080, [ 'class_Orderings_Olinorder'( 'tc_nat' ) ] )
% 73.10/73.51 , clause( 178081, [ 'class_Orderings_Oorder'( 'tc_nat' ) ] )
% 73.10/73.51 , clause( 178082, [ 'class_Power_Opower'( 'tc_nat' ) ] )
% 73.10/73.51 , clause( 178083, [ 'class_Int_Onumber'( 'tc_nat' ) ] )
% 73.10/73.51 , clause( 178084, [ 'class_HOL_Oord'( 'tc_nat' ) ] )
% 73.10/73.51 , clause( 178085, [
% 73.10/73.51 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_Int_Oint'
% 73.10/73.51 ) ] )
% 73.10/73.51 , clause( 178086, [
% 73.10/73.51 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 73.10/73.51 'tc_Int_Oint' ) ] )
% 73.10/73.51 , clause( 178087, [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 73.10/73.51 'tc_Int_Oint' ) ] )
% 73.10/73.51 , clause( 178088, [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 73.10/73.51 'tc_Int_Oint' ) ] )
% 73.10/73.51 , clause( 178089, [ 'class_OrderedGroup_Opordered__comm__monoid__add'(
% 73.10/73.51 'tc_Int_Oint' ) ] )
% 73.10/73.51 , clause( 178090, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 73.10/73.51 'tc_Int_Oint' ) ] )
% 73.10/73.51 , clause( 178091, [ 'class_OrderedGroup_Opordered__ab__group__add'(
% 73.10/73.51 'tc_Int_Oint' ) ] )
% 73.10/73.51 , clause( 178092, [ 'class_OrderedGroup_Olordered__ab__group__add'(
% 73.10/73.51 'tc_Int_Oint' ) ] )
% 73.10/73.51 , clause( 178093, [ 'class_OrderedGroup_Ocancel__semigroup__add'(
% 73.10/73.51 'tc_Int_Oint' ) ] )
% 73.10/73.51 , clause( 178094, [ 'class_Ring__and__Field_Ono__zero__divisors'(
% 73.10/73.51 'tc_Int_Oint' ) ] )
% 73.10/73.51 , clause( 178095, [ 'class_Ring__and__Field_Oordered__semidom'(
% 73.10/73.51 'tc_Int_Oint' ) ] )
% 73.10/73.51 , clause( 178096, [ 'class_Ring__and__Field_Ocomm__semiring__1'(
% 73.10/73.51 'tc_Int_Oint' ) ] )
% 73.10/73.51 , clause( 178097, [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Int_Oint'
% 73.10/73.51 ) ] )
% 73.10/73.51 , clause( 178098, [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Int_Oint'
% 73.10/73.51 ) ] )
% 73.10/73.51 , clause( 178099, [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Int_Oint'
% 73.10/73.51 ) ] )
% 73.10/73.51 , clause( 178100, [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint'
% 73.10/73.51 ) ] )
% 73.10/73.51 , clause( 178101, [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Int_Oint' )
% 73.10/73.51 ] )
% 73.10/73.51 , clause( 178102, [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ]
% 73.10/73.51 )
% 73.10/73.51 , clause( 178103, [ 'class_Ring__and__Field_Omult__zero'( 'tc_Int_Oint' ) ]
% 73.10/73.51 )
% 73.10/73.51 , clause( 178104, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Int_Oint' ) ]
% 73.10/73.51 )
% 73.10/73.51 , clause( 178105, [ 'class_OrderedGroup_Omonoid__add'( 'tc_Int_Oint' ) ] )
% 73.10/73.51 , clause( 178106, [ 'class_OrderedGroup_Ogroup__add'( 'tc_Int_Oint' ) ] )
% 73.10/73.51 , clause( 178107, [ 'class_Divides_Osemiring__div'( 'tc_Int_Oint' ) ] )
% 73.10/73.51 , clause( 178108, [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ] )
% 73.10/73.51 , clause( 178109, [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ] )
% 73.10/73.51 , clause( 178110, [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ] )
% 73.10/73.51 , clause( 178111, [ 'class_Divides_Oring__div'( 'tc_Int_Oint' ) ] )
% 73.10/73.51 , clause( 178112, [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ] )
% 73.10/73.51 , clause( 178113, [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ] )
% 73.10/73.54 , clause( 178114, [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ] )
% 73.10/73.54 , clause( 178115, [ 'class_Power_Opower'( 'tc_Int_Oint' ) ] )
% 73.10/73.54 , clause( 178116, [ 'class_Int_Onumber'( 'tc_Int_Oint' ) ] )
% 73.10/73.54 , clause( 178117, [ 'class_HOL_Oord'( 'tc_Int_Oint' ) ] )
% 73.10/73.54 ] ).
% 73.10/73.54
% 73.10/73.54
% 73.10/73.54
% 73.10/73.54 subsumption(
% 73.10/73.54 clause( 483, [ 'c_List_Odistinct'( 'c_List_Olist_OCons'( X,
% 73.10/73.54 'c_List_Olist_OCons'( Y, 'c_List_Olist_OCons'(
% 73.10/73.54 'v_sko__Arrow__Order__Mirabelle__Xthird__alt__1'( X, Y ),
% 73.10/73.54 'c_List_Olist_ONil'( 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 73.10/73.54 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt' )
% 73.10/73.54 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt'
% 73.10/73.54 ), =( X, Y ) ] )
% 73.10/73.54 , clause( 178047, [ 'c_List_Odistinct'( 'c_List_Olist_OCons'( X,
% 73.10/73.54 'c_List_Olist_OCons'( Y, 'c_List_Olist_OCons'(
% 73.10/73.54 'v_sko__Arrow__Order__Mirabelle__Xthird__alt__1'( X, Y ),
% 73.10/73.54 'c_List_Olist_ONil'( 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 73.10/73.54 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt' )
% 73.10/73.54 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt'
% 73.10/73.54 ), =( X, Y ) ] )
% 73.10/73.54 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 73.10/73.54 ), ==>( 1, 1 )] ) ).
% 73.10/73.54
% 73.10/73.54
% 73.10/73.54 eqswap(
% 73.10/73.54 clause( 179654, [ ~( =( 'v_b____', 'v_a____' ) ) ] )
% 73.10/73.54 , clause( 178059, [ ~( =( 'v_a____', 'v_b____' ) ) ] )
% 73.10/73.54 , 0, substitution( 0, [] )).
% 73.10/73.54
% 73.10/73.54
% 73.10/73.54 subsumption(
% 73.10/73.54 clause( 492, [ ~( =( 'v_b____', 'v_a____' ) ) ] )
% 73.10/73.54 , clause( 179654, [ ~( =( 'v_b____', 'v_a____' ) ) ] )
% 73.10/73.54 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 73.10/73.54
% 73.10/73.54
% 73.10/73.54 subsumption(
% 73.10/73.54 clause( 493, [ ~( 'v_thesis____' ) ] )
% 73.10/73.54 , clause( 178060, [ ~( 'v_thesis____' ) ] )
% 73.10/73.54 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 73.10/73.54
% 73.10/73.54
% 73.10/73.54 resolution(
% 73.10/73.54 clause( 181199, [ ~( 'c_List_Odistinct'( 'c_List_Olist_OCons'( 'v_a____',
% 73.10/73.54 'c_List_Olist_OCons'( 'v_b____', 'c_List_Olist_OCons'( X,
% 73.10/73.54 'c_List_Olist_ONil'( 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 73.10/73.54 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt' )
% 73.10/73.54 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt'
% 73.10/73.54 ) ) ] )
% 73.10/73.54 , clause( 493, [ ~( 'v_thesis____' ) ] )
% 73.10/73.54 , 0, clause( 178052, [ 'v_thesis____', ~( 'c_List_Odistinct'(
% 73.10/73.54 'c_List_Olist_OCons'( 'v_a____', 'c_List_Olist_OCons'( 'v_b____',
% 73.10/73.54 'c_List_Olist_OCons'( X, 'c_List_Olist_ONil'(
% 73.10/73.54 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt' )
% 73.10/73.54 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt'
% 73.10/73.54 ), 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ] )
% 73.10/73.54 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 73.10/73.54
% 73.10/73.54
% 73.10/73.54 subsumption(
% 73.10/73.54 clause( 494, [ ~( 'c_List_Odistinct'( 'c_List_Olist_OCons'( 'v_a____',
% 73.10/73.54 'c_List_Olist_OCons'( 'v_b____', 'c_List_Olist_OCons'( X,
% 73.10/73.54 'c_List_Olist_ONil'( 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 73.10/73.54 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt' )
% 73.10/73.54 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt'
% 73.10/73.54 ) ) ] )
% 73.10/73.54 , clause( 181199, [ ~( 'c_List_Odistinct'( 'c_List_Olist_OCons'( 'v_a____'
% 73.10/73.54 , 'c_List_Olist_OCons'( 'v_b____', 'c_List_Olist_OCons'( X,
% 73.10/73.54 'c_List_Olist_ONil'( 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 73.10/73.54 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt' )
% 73.10/73.54 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt'
% 73.10/73.54 ) ) ] )
% 73.10/73.54 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 73.10/73.54
% 73.10/73.54
% 73.10/73.54 eqswap(
% 73.10/73.54 clause( 181200, [ =( Y, X ), 'c_List_Odistinct'( 'c_List_Olist_OCons'( X,
% 73.10/73.54 'c_List_Olist_OCons'( Y, 'c_List_Olist_OCons'(
% 73.10/73.54 'v_sko__Arrow__Order__Mirabelle__Xthird__alt__1'( X, Y ),
% 73.10/73.54 'c_List_Olist_ONil'( 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 73.10/73.54 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt' )
% 73.10/73.54 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt'
% 73.10/73.54 ) ] )
% 73.10/73.54 , clause( 483, [ 'c_List_Odistinct'( 'c_List_Olist_OCons'( X,
% 73.10/73.54 'c_List_Olist_OCons'( Y, 'c_List_Olist_OCons'(
% 73.10/73.54 'v_sko__Arrow__Order__Mirabelle__Xthird__alt__1'( X, Y ),
% 73.10/73.54 'c_List_Olist_ONil'( 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 73.10/73.54 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt' )
% 73.10/73.54 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt'
% 73.10/73.54 ), =( X, Y ) ] )
% 73.10/73.54 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 73.10/73.54
% 73.10/73.54
% 73.10/73.54 eqswap(
% 73.10/73.54 clause( 181201, [ ~( =( 'v_a____', 'v_b____' ) ) ] )
% 73.10/73.54 , clause( 492, [ ~( =( 'v_b____', 'v_a____' ) ) ] )
% 73.10/73.54 , 0, substitution( 0, [] )).
% 73.10/73.54
% 73.10/73.54
% 73.10/73.54 paramod(
% 73.10/73.54 clause( 181203, [ ~( =( 'v_a____', X ) ), 'c_List_Odistinct'(
% 73.10/73.54 'c_List_Olist_OCons'( X, 'c_List_Olist_OCons'( 'v_b____',
% 73.10/73.54 'c_List_Olist_OCons'( 'v_sko__Arrow__Order__Mirabelle__Xthird__alt__1'( X
% 73.10/73.54 , 'v_b____' ), 'c_List_Olist_ONil'( 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 73.10/73.54 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt' )
% 73.10/73.54 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt'
% 73.10/73.54 ) ] )
% 73.10/73.54 , clause( 181200, [ =( Y, X ), 'c_List_Odistinct'( 'c_List_Olist_OCons'( X
% 73.10/73.54 , 'c_List_Olist_OCons'( Y, 'c_List_Olist_OCons'(
% 73.10/73.54 'v_sko__Arrow__Order__Mirabelle__Xthird__alt__1'( X, Y ),
% 73.10/73.54 'c_List_Olist_ONil'( 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 73.10/73.54 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt' )
% 73.10/73.54 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt'
% 73.10/73.54 ) ] )
% 73.10/73.54 , 0, clause( 181201, [ ~( =( 'v_a____', 'v_b____' ) ) ] )
% 73.10/73.54 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, 'v_b____' )] ),
% 73.10/73.54 substitution( 1, [] )).
% 73.10/73.54
% 73.10/73.54
% 73.10/73.54 eqswap(
% 73.10/73.54 clause( 181537, [ ~( =( X, 'v_a____' ) ), 'c_List_Odistinct'(
% 73.10/73.54 'c_List_Olist_OCons'( X, 'c_List_Olist_OCons'( 'v_b____',
% 73.10/73.54 'c_List_Olist_OCons'( 'v_sko__Arrow__Order__Mirabelle__Xthird__alt__1'( X
% 73.10/73.54 , 'v_b____' ), 'c_List_Olist_ONil'( 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 73.10/73.54 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt' )
% 73.10/73.54 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt'
% 73.10/73.54 ) ] )
% 73.10/73.54 , clause( 181203, [ ~( =( 'v_a____', X ) ), 'c_List_Odistinct'(
% 73.10/73.54 'c_List_Olist_OCons'( X, 'c_List_Olist_OCons'( 'v_b____',
% 73.10/73.54 'c_List_Olist_OCons'( 'v_sko__Arrow__Order__Mirabelle__Xthird__alt__1'( X
% 73.10/73.54 , 'v_b____' ), 'c_List_Olist_ONil'( 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 73.10/73.54 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt' )
% 73.10/73.54 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt'
% 73.10/73.54 ) ] )
% 73.10/73.54 , 0, substitution( 0, [ :=( X, X )] )).
% 73.10/73.54
% 73.10/73.54
% 73.10/73.54 subsumption(
% 73.10/73.54 clause( 177303, [ ~( =( X, 'v_a____' ) ), 'c_List_Odistinct'(
% 73.10/73.54 'c_List_Olist_OCons'( X, 'c_List_Olist_OCons'( 'v_b____',
% 73.10/73.54 'c_List_Olist_OCons'( 'v_sko__Arrow__Order__Mirabelle__Xthird__alt__1'( X
% 73.10/73.54 , 'v_b____' ), 'c_List_Olist_ONil'( 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 73.10/73.54 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt' )
% 73.10/73.54 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt'
% 73.10/73.54 ) ] )
% 73.10/73.54 , clause( 181537, [ ~( =( X, 'v_a____' ) ), 'c_List_Odistinct'(
% 73.10/73.54 'c_List_Olist_OCons'( X, 'c_List_Olist_OCons'( 'v_b____',
% 73.10/73.54 'c_List_Olist_OCons'( 'v_sko__Arrow__Order__Mirabelle__Xthird__alt__1'( X
% 73.10/73.54 , 'v_b____' ), 'c_List_Olist_ONil'( 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 73.10/73.54 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt' )
% 73.10/73.54 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt'
% 73.10/73.54 ) ] )
% 73.10/73.54 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 73.10/73.54 1 )] ) ).
% 73.10/73.54
% 73.10/73.54
% 73.10/73.54 eqswap(
% 73.10/73.54 clause( 181790, [ ~( =( 'v_a____', X ) ), 'c_List_Odistinct'(
% 73.10/73.54 'c_List_Olist_OCons'( X, 'c_List_Olist_OCons'( 'v_b____',
% 73.10/73.54 'c_List_Olist_OCons'( 'v_sko__Arrow__Order__Mirabelle__Xthird__alt__1'( X
% 73.10/73.54 , 'v_b____' ), 'c_List_Olist_ONil'( 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 73.10/73.54 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt' )
% 73.10/73.54 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt'
% 73.10/73.54 ) ] )
% 73.10/73.54 , clause( 177303, [ ~( =( X, 'v_a____' ) ), 'c_List_Odistinct'(
% 73.10/73.54 'c_List_Olist_OCons'( X, 'c_List_Olist_OCons'( 'v_b____',
% 73.10/73.54 'c_List_Olist_OCons'( 'v_sko__Arrow__Order__Mirabelle__Xthird__alt__1'( X
% 73.10/73.54 , 'v_b____' ), 'c_List_Olist_ONil'( 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 73.10/73.54 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt' )
% 73.10/73.54 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt'
% 73.10/73.54 ) ] )
% 73.10/73.54 , 0, substitution( 0, [ :=( X, X )] )).
% 73.18/73.55
% 73.18/73.55
% 73.18/73.55 eqrefl(
% 73.18/73.55 clause( 181791, [ 'c_List_Odistinct'( 'c_List_Olist_OCons'( 'v_a____',
% 73.18/73.55 'c_List_Olist_OCons'( 'v_b____', 'c_List_Olist_OCons'(
% 73.18/73.55 'v_sko__Arrow__Order__Mirabelle__Xthird__alt__1'( 'v_a____', 'v_b____' )
% 73.18/73.55 , 'c_List_Olist_ONil'( 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 73.18/73.55 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt' )
% 73.18/73.55 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt'
% 73.18/73.55 ) ] )
% 73.18/73.55 , clause( 181790, [ ~( =( 'v_a____', X ) ), 'c_List_Odistinct'(
% 73.18/73.55 'c_List_Olist_OCons'( X, 'c_List_Olist_OCons'( 'v_b____',
% 73.18/73.55 'c_List_Olist_OCons'( 'v_sko__Arrow__Order__Mirabelle__Xthird__alt__1'( X
% 73.18/73.55 , 'v_b____' ), 'c_List_Olist_ONil'( 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 73.18/73.55 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt' )
% 73.18/73.55 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt'
% 73.18/73.55 ) ] )
% 73.18/73.55 , 0, substitution( 0, [ :=( X, 'v_a____' )] )).
% 73.18/73.55
% 73.18/73.55
% 73.18/73.55 resolution(
% 73.18/73.55 clause( 181792, [] )
% 73.18/73.55 , clause( 494, [ ~( 'c_List_Odistinct'( 'c_List_Olist_OCons'( 'v_a____',
% 73.18/73.55 'c_List_Olist_OCons'( 'v_b____', 'c_List_Olist_OCons'( X,
% 73.18/73.55 'c_List_Olist_ONil'( 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 73.18/73.55 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt' )
% 73.18/73.55 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt'
% 73.18/73.55 ) ) ] )
% 73.18/73.55 , 0, clause( 181791, [ 'c_List_Odistinct'( 'c_List_Olist_OCons'( 'v_a____'
% 73.18/73.55 , 'c_List_Olist_OCons'( 'v_b____', 'c_List_Olist_OCons'(
% 73.18/73.55 'v_sko__Arrow__Order__Mirabelle__Xthird__alt__1'( 'v_a____', 'v_b____' )
% 73.18/73.55 , 'c_List_Olist_ONil'( 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 73.18/73.55 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt' )
% 73.18/73.55 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt'
% 73.18/73.55 ) ] )
% 73.18/73.55 , 0, substitution( 0, [ :=( X,
% 73.18/73.55 'v_sko__Arrow__Order__Mirabelle__Xthird__alt__1'( 'v_a____', 'v_b____' )
% 73.18/73.55 )] ), substitution( 1, [] )).
% 73.18/73.55
% 73.18/73.55
% 73.18/73.55 subsumption(
% 73.18/73.55 clause( 177450, [] )
% 73.18/73.55 , clause( 181792, [] )
% 73.18/73.55 , substitution( 0, [] ), permutation( 0, [] ) ).
% 73.18/73.55
% 73.18/73.55
% 73.18/73.55 end.
% 73.18/73.55
% 73.18/73.55 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 73.18/73.55
% 73.18/73.55 Memory use:
% 73.18/73.55
% 73.18/73.55 space for terms: 4153378
% 73.18/73.55 space for clauses: 8499373
% 73.18/73.55
% 73.18/73.55
% 73.18/73.55 clauses generated: 1032753
% 73.18/73.55 clauses kept: 177451
% 73.18/73.55 clauses selected: 1935
% 73.18/73.55 clauses deleted: 13934
% 73.18/73.55 clauses inuse deleted: 297
% 73.18/73.55
% 73.18/73.55 subsentry: 7292883
% 73.18/73.55 literals s-matched: 4744049
% 73.18/73.55 literals matched: 4520098
% 73.18/73.55 full subsumption: 2720843
% 73.18/73.55
% 73.18/73.55 checksum: 818115631
% 73.18/73.55
% 73.18/73.55
% 73.18/73.55 Bliksem ended
%------------------------------------------------------------------------------