TSTP Solution File: SCT090-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SCT090-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n027.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 21:01:08 EDT 2022
% Result : Timeout 300.07s 300.58s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SCT090-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Sat Jul 2 03:31:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.87/1.30 *** allocated 10000 integers for termspace/termends
% 0.87/1.30 *** allocated 10000 integers for clauses
% 0.87/1.30 *** allocated 10000 integers for justifications
% 0.87/1.30 *** allocated 15000 integers for termspace/termends
% 0.87/1.30 *** allocated 22500 integers for termspace/termends
% 0.87/1.30 Bliksem 1.12
% 0.87/1.30
% 0.87/1.30
% 0.87/1.30 Automatic Strategy Selection
% 0.87/1.30
% 0.87/1.30 Clauses:
% 0.87/1.30 [
% 0.87/1.30 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 0.87/1.30 'c_Set_Oinsert'( X, Y, Z ) ) ],
% 0.87/1.30 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z,
% 0.87/1.30 X, T ), Y ) ) ) ],
% 0.87/1.30 [ =( 'c_Relation_ODomain'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, T ), U,
% 0.87/1.30 'tc_prod'( Z, T ) ), Z, T ), 'c_Set_Oinsert'( X, 'c_Relation_ODomain'( U
% 0.87/1.30 , Z, T ), Z ) ) ],
% 0.87/1.30 [ 'c_Relation_Osym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 0.87/1.30 , 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Osym'(
% 0.87/1.30 Y, Z ) ), ~( 'c_Relation_Osym'( X, Z ) ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.87/1.30 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.87/1.30 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.87/1.30 'tc_bool' ) ) ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_Relation_ODomain'(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.87/1.30 Z, T ), 'tc_bool' ) ), Z, T ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_ODomain'( X, Z
% 0.87/1.30 , T ), 'c_Relation_ODomain'( Y, Z, T ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( X ), X ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.30 X ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( X ), Y, X ),
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.87/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.87/1.30 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.30 ) ) ) ],
% 0.87/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.87/1.30 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.30 ) ],
% 0.87/1.30 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, X, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.87/1.30 ) ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_Relation_OImage'( X,
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.87/1.30 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.30 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 0.87/1.30 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.87/1.30 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_lessequals'( T, X,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.87/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( T, X,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( 'c_Product__Type_OSigma'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ), T, Z, U ), 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.30 'c_Product__Type_OSigma'( X, T, Z, U ), 'c_Product__Type_OSigma'( Y, T, Z
% 0.87/1.30 , U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.30 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.87/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.87/1.30 , Z ), 'c_Set_Oinsert'( X, T, Z ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.30 'c_Set_Oinsert'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.87/1.30 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 0.87/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.87/1.30 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.30 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.87/1.30 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.87/1.30 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.30 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ),
% 0.87/1.30 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.87/1.30 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X
% 0.87/1.30 , X ), 'tc_bool' ) ), Y, 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' ) ) ]
% 0.87/1.30 ,
% 0.87/1.30 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.30 ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.87/1.30 [ =( 'c_Relation_Orel__comp'( X, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.30 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ), T, Y, Z ),
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( T, Z ), 'tc_bool' )
% 0.87/1.30 ) ) ],
% 0.87/1.30 [ =( 'c_Relation_Orel__comp'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.87/1.30 'tc_prod'( X, Y ), 'tc_bool' ) ), Z, X, Y, T ),
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, T ), 'tc_bool' )
% 0.87/1.30 ) ) ],
% 0.87/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oinsert'( Y
% 0.87/1.30 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.87/1.30 'tc_bool' ) ), T ) ) ],
% 0.87/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X, Y
% 0.87/1.30 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), Z ) ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.87/1.30 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.87/1.30 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 0.87/1.30 Y, Y ), 'tc_bool' ) ), Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ]
% 0.87/1.30 ,
% 0.87/1.30 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.87/1.30 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1'( X, Z, T ) ) ) ),
% 0.87/1.30 ~( 'c_Wellfounded_Owf'( Z, T ) ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Relation_ORange'( X,
% 0.87/1.30 Y, Z ), 'c_Relation_ORange'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.30 'c_Relation_ORange'( 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'(
% 0.87/1.30 'tc_prod'( Y, Z ), 'tc_bool' ) ), Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ]
% 0.87/1.30 ,
% 0.87/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.87/1.30 Y, Z, 'tc_nat' ), ~( 'c_lessequals'( 'c_Nat_Osemiring__1__class_Oof__nat'(
% 0.87/1.30 Y, X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.87/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.87/1.30 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.87/1.30 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~( 'c_lessequals'( Y,
% 0.87/1.30 Z, 'tc_nat' ) ) ],
% 0.87/1.30 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.87/1.30 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.87/1.30 'c_Set_Oinsert'( T, X, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'(
% 0.87/1.30 Z, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_Product__Type_OSigma'( X, 'c_COMBK'( Y, 'tc_fun'( Z
% 0.87/1.30 , 'tc_bool' ), T ), T, Z ), 'c_Product__Type_OSigma'( U, 'c_COMBK'( Y,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ), T ), T, Z ), 'tc_fun'( 'tc_prod'( T, Z ),
% 0.87/1.30 'tc_bool' ) ), ~( 'c_lessequals'( X, U, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 0.87/1.30 hBOOL( 'c_in'( W, Y, Z ) ) ) ],
% 0.87/1.30 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.87/1.30 'c_Product__Type_OSigma'( X, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.87/1.30 , Z, U ), 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U,
% 0.87/1.30 'tc_bool' ), Z ), Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ),
% 0.87/1.30 ~( hBOOL( 'c_in'( W, T, U ) ) ) ],
% 0.87/1.30 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.87/1.30 ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~( 'c_lessequals'(
% 0.87/1.30 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.87/1.30 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.87/1.30 ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~( 'c_lessequals'(
% 0.87/1.30 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.87/1.30 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.87/1.30 Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, X,
% 0.87/1.30 Z ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y, T, Z ), 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ) ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_Transitive__Closure_Otrancl'( X, Y ), Z, 'tc_fun'(
% 0.87/1.30 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.87/1.30 'c_Relation_Orel__comp'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.30 'c_Transitive__Closure_Otrancl'( X, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.87/1.30 'tc_bool' ) ), X, Y, Y, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' )
% 0.87/1.30 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) )
% 0.87/1.30 ) ],
% 0.87/1.30 [ =( 'c_Product__Type_OSigma'(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), T, Z, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.30 'c_Product__Type_OSigma'( X, T, Z, U ), 'c_Product__Type_OSigma'( Y, T, Z
% 0.87/1.30 , U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.87/1.30 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z
% 0.87/1.30 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.87/1.30 ) ) ), =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.87/1.30 , X ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 't_a', X )
% 0.87/1.30 ), 'v_x' ), 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( Y, 'v_x'
% 0.87/1.30 ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Relation_ODomain'( X
% 0.87/1.30 , Y, Z ), 'c_Relation_ODomain'( T, Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ),
% 0.87/1.30 'c_Relation_ODomain'( 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'(
% 0.87/1.30 'tc_prod'( Y, Z ), 'tc_bool' ) ), Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ) ]
% 0.87/1.30 ,
% 0.87/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.87/1.30 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 0.87/1.30 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 0.87/1.30 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_Relation_OId__on'( X, Y ), 'c_Product__Type_OSigma'(
% 0.87/1.30 X, 'c_COMBK'( X, 'tc_fun'( Y, 'tc_bool' ), Y ), Y, Y ), 'tc_fun'(
% 0.87/1.30 'tc_prod'( Y, Y ), 'tc_bool' ) ) ],
% 0.87/1.30 [ 'c_lessequals'( X, 'c_Product__Type_OSigma'( Y, 'c_COMBK'( Y, 'tc_fun'(
% 0.87/1.30 Z, 'tc_bool' ), Z ), Z, Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ),
% 0.87/1.30 ~( 'c_Relation_Orefl__on'( Y, X, Z ) ) ],
% 0.87/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X, 'tc_fun'( Y,
% 0.87/1.30 'tc_bool' ) ), X ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 0.87/1.30 'c_Relation_Orel__comp'( W, V0, Z, T, U ), 'tc_fun'( 'tc_prod'( Z, U ),
% 0.87/1.30 'tc_bool' ) ), ~( 'c_lessequals'( Y, V0, 'tc_fun'( 'tc_prod'( T, U ),
% 0.87/1.30 'tc_bool' ) ) ), ~( 'c_lessequals'( X, W, 'tc_fun'( 'tc_prod'( Z, T ),
% 0.87/1.30 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( 'c_Relation_OImage'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), U, Z, T ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_OImage'( X, U,
% 0.87/1.30 Z, T ), 'c_Relation_OImage'( Y, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ) ]
% 0.87/1.30 ,
% 0.87/1.30 [ =( 'c_Relation_OImage'( X,
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.87/1.30 'tc_bool' ) ), T, U ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 0.87/1.30 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.87/1.30 'c_List_Osko__Recdef__Xtfl__wf__induct__1__1'( X, Z, T ) ) ) ), ~(
% 0.87/1.30 'c_Wellfounded_Owf'( Z, T ) ) ],
% 0.87/1.30 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ),
% 0.87/1.30 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 0.87/1.30 [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 0.87/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.30 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ 'c_Relation_Osingle__valued'( 'c_Relation_OId'( X ), X, X ) ],
% 0.87/1.30 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.87/1.30 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_Relation_OImage'( X, Y, Z, T ), U, 'tc_fun'( T,
% 0.87/1.30 'tc_bool' ) ), ~( 'c_lessequals'( X, 'c_Product__Type_OSigma'( W,
% 0.87/1.30 'c_COMBK'( U, 'tc_fun'( T, 'tc_bool' ), Z ), Z, T ), 'tc_fun'( 'tc_prod'(
% 0.87/1.30 Z, T ), 'tc_bool' ) ) ) ],
% 0.87/1.30 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.87/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.87/1.30 , T, X ) ) ), =( Y, Z ) ],
% 0.87/1.30 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.87/1.30 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.87/1.30 , T, X ) ) ), =( Z, T ) ],
% 0.87/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.87/1.30 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.87/1.30 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.87/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), X ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.87/1.30 ],
% 0.87/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.87/1.30 ],
% 0.87/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~(
% 0.87/1.30 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ),
% 0.87/1.30 'c_lessequals'( Y, Z, X ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 0.87/1.30 'c_lessequals'( Z, Y, X ) ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.87/1.30 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.87/1.30 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X
% 0.87/1.30 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.87/1.30 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 0.87/1.30 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.87/1.30 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.87/1.30 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.87/1.30 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.87/1.30 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.87/1.30 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.87/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.87/1.30 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_Wellfounded_Owf'( X, Y ) ) ]
% 0.87/1.30 ,
% 0.87/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.87/1.30 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.30 Z, 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' )
% 0.87/1.30 ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), X ) ],
% 0.87/1.30 [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.87/1.30 'c_Transitive__Closure_Ortrancl'( Z, Y ) ), ~( 'c_lessequals'( X,
% 0.87/1.30 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.87/1.30 'tc_bool' ) ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.87/1.30 'tc_bool' ) ) ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.87/1.30 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.87/1.30 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X,
% 0.87/1.30 Y, Z ) ) ],
% 0.87/1.30 [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.87/1.30 , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.30 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X, Z ) ],
% 0.87/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( T, X, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( 'c_Relation_OField'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, Z ), T,
% 0.87/1.30 'tc_prod'( Z, Z ) ), Z ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 'c_Relation_OField'( T, Z ),
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( 'c_Relation_OField'( 'c_Relation_Oconverse'( X, Y, Y ), Y ),
% 0.87/1.30 'c_Relation_OField'( X, Y ) ) ],
% 0.87/1.30 [ 'c_Wellfounded_Owf'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.87/1.30 'tc_prod'( X, X ), 'tc_bool' ) ), X ) ],
% 0.87/1.30 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( 'c_Set_Oinsert'( X, T,
% 0.87/1.30 Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( 'c_Product__Type_OSigma'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), T, Z, U ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 'c_Product__Type_OSigma'( X, T, Z, U ), 'c_Product__Type_OSigma'( Y, T, Z
% 0.87/1.30 , U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.87/1.30 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 0.87/1.30 ) ) ],
% 0.87/1.30 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.87/1.30 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL(
% 0.87/1.30 'c_in'( Y, X, T ) ) ],
% 0.87/1.30 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( 'c_in'( T, X
% 0.87/1.30 , Z ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ) ) ],
% 0.87/1.30 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.87/1.30 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL(
% 0.87/1.30 'c_in'( Y, X, T ) ) ],
% 0.87/1.30 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.87/1.30 , 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), hBOOL( 'c_in'(
% 0.87/1.30 T, X, Z ) ) ],
% 0.87/1.30 [ =( 'c_Relation_Oconverse'(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.87/1.30 Z, T ), 'tc_bool' ) ), Z, T ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_Oconverse'( X,
% 0.87/1.30 Z, T ), 'c_Relation_Oconverse'( Y, Z, T ), 'tc_fun'( 'tc_prod'( T, Z ),
% 0.87/1.30 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.87/1.30 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.87/1.30 'tc_bool' ) ) ), hBOOL( 'c_in'( Y, X, T ) ) ],
% 0.87/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.87/1.30 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ) ), hBOOL( 'c_in'( X, T, Z ) ) ],
% 0.87/1.30 [ 'c_Relation_Ototal__on'( X, Y, Z ), ~(
% 0.87/1.30 'c_Order__Relation_Ostrict__linear__order__on'( X, Y, Z ) ) ],
% 0.87/1.30 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.87/1.30 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.87/1.30 ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.87/1.30 ) ],
% 0.87/1.30 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.87/1.30 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.87/1.30 ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.87/1.30 ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.87/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 0.87/1.30 'c_Product__Type_OSigma'( W, 'c_COMBK'( V0, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.87/1.30 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.87/1.30 Y, 'c_Product__Type_OSigma'( V1, 'c_COMBK'( V0, 'tc_fun'( U, 'tc_bool' )
% 0.87/1.30 , T ), T, U ), 'tc_fun'( 'tc_prod'( T, U ), 'tc_bool' ) ) ), ~(
% 0.87/1.30 'c_lessequals'( X, 'c_Product__Type_OSigma'( W, 'c_COMBK'( V1, 'tc_fun'(
% 0.87/1.30 T, 'tc_bool' ), Z ), Z, T ), 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ) )
% 0.87/1.30 ],
% 0.87/1.30 [ 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.87/1.30 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_lessequals'(
% 0.87/1.30 'c_Relation_Orel__comp'( X, Y, Z, Z, Z ), X, 'tc_fun'( 'tc_prod'( Z, Z )
% 0.87/1.30 , 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Y, Z ) ), ~(
% 0.87/1.30 'c_Wellfounded_Owf'( X, Z ) ) ],
% 0.87/1.30 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T,
% 0.87/1.30 'tc_bool' ) ), Y ) ) ) ],
% 0.87/1.30 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ],
% 0.87/1.30 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 0.87/1.30 [ =( 'c_Product__Type_OSigma'(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Product__Type_OSigma'( X
% 0.87/1.30 , 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.87/1.30 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.87/1.30 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.87/1.30 [ 'c_Relation_Osingle__valued'( 'c_Relation_Orel__comp'( X, Y, Z, T, U )
% 0.87/1.30 , Z, U ), ~( 'c_Relation_Osingle__valued'( Y, T, U ) ), ~(
% 0.87/1.30 'c_Relation_Osingle__valued'( X, Z, T ) ) ],
% 0.87/1.30 [ 'c_Relation_Orefl__on'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( T, U, 'tc_fun'( 'tc_prod'(
% 0.87/1.30 Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ), ~(
% 0.87/1.30 'c_Relation_Orefl__on'( X, T, Z ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.87/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.87/1.30 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.87/1.30 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ],
% 0.87/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.87/1.30 X, 'tc_bool' ) ), Y ) ],
% 0.87/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.87/1.30 'tc_bool' ) ), X ) ],
% 0.87/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Obot__class_Obot'(
% 0.87/1.30 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( 'c_Product__Type_OSigma'( 'c_Set_Oinsert'( X, Y, Z ), 'c_COMBK'(
% 0.87/1.30 'c_Set_Oinsert'( T, U, W ), 'tc_fun'( W, 'tc_bool' ), Z ), Z, W ),
% 0.87/1.30 'c_Set_Oinsert'( 'c_Pair'( X, T, Z, W ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Product__Type_OSigma'( Y
% 0.87/1.30 , 'c_COMBK'( 'c_Set_Oinsert'( T, U, W ), 'tc_fun'( W, 'tc_bool' ), Z ), Z
% 0.87/1.30 , W ), 'c_Product__Type_OSigma'( 'c_Set_Oinsert'( X, Y, Z ), 'c_COMBK'( U
% 0.87/1.30 , 'tc_fun'( W, 'tc_bool' ), Z ), Z, W ), 'tc_fun'( 'tc_prod'( Z, W ),
% 0.87/1.30 'tc_bool' ) ), 'tc_prod'( Z, W ) ) ) ],
% 0.87/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.87/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.30 T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 0.87/1.30 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 0.87/1.30 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.30 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), T,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Z, 'tc_bool'
% 0.87/1.30 ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( U, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.87/1.30 ,
% 0.87/1.30 [ 'c_Relation_Otrans'( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.87/1.30 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 0.87/1.30 'c_Relation_Otrans'( Y, Z ) ), ~( 'c_Relation_Otrans'( X, Z ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), X ) ],
% 0.87/1.30 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.30 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ],
% 0.87/1.30 [ ~( =( 'c_Relation_Orel__comp'( X, Y, Z, Z, Z ),
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 0.87/1.30 ) ) ), ~( =( 'c_Relation_Orel__comp'( T, Y, Z, Z, Z ),
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 0.87/1.30 ) ) ), =( 'c_Relation_Orel__comp'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( 'tc_prod'(
% 0.87/1.30 Z, Z ), 'tc_bool' ) ), Y, Z, Z, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.30 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) ) ],
% 0.87/1.30 [ ~( =( 'c_Relation_Orel__comp'( X, Y, Z, Z, Z ),
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 0.87/1.30 ) ) ), ~( =( 'c_Relation_Orel__comp'( X, T, Z, Z, Z ),
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 0.87/1.30 ) ) ), =( 'c_Relation_Orel__comp'( X,
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 'tc_fun'( 'tc_prod'(
% 0.87/1.30 Z, Z ), 'tc_bool' ) ), Z, Z, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.30 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) ) ],
% 0.87/1.30 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.87/1.30 'c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1'( X, Z, T ) ) ) ), ~(
% 0.87/1.30 'c_Wellfounded_Owf'( Z, T ) ) ],
% 0.87/1.30 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_Wellfounded_Oacyclic'(
% 0.87/1.30 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.87/1.30 [ 'c_Wellfounded_Oacyclic'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 0.87/1.30 'c_Wellfounded_Oacyclic'( X, Y ) ) ],
% 0.87/1.30 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.87/1.30 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~( 'c_lessequals'( X
% 0.87/1.30 , Y, 'tc_nat' ) ) ],
% 0.87/1.30 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.87/1.30 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.87/1.30 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.87/1.30 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.87/1.30 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ],
% 0.87/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), X ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~(
% 0.87/1.30 'c_lessequals'( Z, Y, X ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ),
% 0.87/1.30 'c_lessequals'( Y, Z, X ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~(
% 0.87/1.30 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.87/1.30 ],
% 0.87/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), X ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.87/1.30 ],
% 0.87/1.30 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.87/1.30 , 'tc_bool' ) ), Y ) ), 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.87/1.30 ],
% 0.87/1.30 [ 'c_Relation_Orefl__on'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.30 X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( T, U, 'tc_fun'( 'tc_prod'(
% 0.87/1.30 Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ), ~(
% 0.87/1.30 'c_Relation_Orefl__on'( X, T, Z ) ) ],
% 0.87/1.30 [ 'c_Relation_Oantisym'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.87/1.30 'tc_prod'( X, X ), 'tc_bool' ) ), X ) ],
% 0.87/1.30 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.87/1.30 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ],
% 0.87/1.30 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.87/1.30 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 0.87/1.30 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.87/1.30 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ],
% 0.87/1.30 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.87/1.30 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_Transitive__Closure_Otrancl'( X, Y ),
% 0.87/1.30 'c_Product__Type_OSigma'( Z, 'c_COMBK'( Z, 'tc_fun'( Y, 'tc_bool' ), Y )
% 0.87/1.30 , Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.87/1.30 X, 'c_Product__Type_OSigma'( Z, 'c_COMBK'( Z, 'tc_fun'( Y, 'tc_bool' ), Y
% 0.87/1.30 ), Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.87/1.30 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.87/1.30 'tc_bool' ) ), ~( 'c_lessequals'( X, 'c_Transitive__Closure_Ortrancl'( Z
% 0.87/1.30 , Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.87/1.30 ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.87/1.30 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.30 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.30 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.87/1.30 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.30 'c_Set_Oinsert'( Y, Z, X ) ) ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_List_Oset'( X, Y ), 'c_List_Oset'(
% 0.87/1.30 'c_List_Olist_OCons'( Z, X, Y ), Y ), 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.87/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.87/1.30 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 0.87/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.87/1.30 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.87/1.30 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.87/1.30 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.87/1.30 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( 'c_Relation_Oconverse'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.87/1.30 Z, T ), 'tc_bool' ) ), Z, T ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Oconverse'( X,
% 0.87/1.30 Z, T ), 'c_Relation_Oconverse'( Y, Z, T ), 'tc_fun'( 'tc_prod'( T, Z ),
% 0.87/1.30 'tc_bool' ) ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.87/1.30 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.87/1.30 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.87/1.30 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.87/1.30 [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 0.87/1.30 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.87/1.30 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.87/1.30 , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 0.87/1.30 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.87/1.30 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.87/1.30 , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( 'c_Product__Type_OSigma'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Product__Type_OSigma'( X
% 0.87/1.30 , 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.87/1.30 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.87/1.30 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.87/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.87/1.30 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( T,
% 0.87/1.30 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z,
% 0.87/1.30 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ 'c_Relation_Otrans'( X, Y ), ~(
% 0.87/1.30 'c_Order__Relation_Ostrict__linear__order__on'( Z, X, Y ) ) ],
% 0.87/1.30 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool'
% 0.87/1.30 ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL(
% 0.87/1.30 'c_in'( X, T, Z ) ) ) ],
% 0.87/1.30 [ =( 'c_Product__Type_OSigma'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ), 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ),
% 0.87/1.30 Z, U ), 'c_HOL_Ominus__class_Ominus'( 'c_Product__Type_OSigma'( X,
% 0.87/1.30 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.87/1.30 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.87/1.30 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.87/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ) ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_Relation_OField'( X, Y ), 'c_Relation_OField'( Z, Y
% 0.87/1.30 ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'(
% 0.87/1.30 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( 'c_Relation_OImage'( X,
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.87/1.30 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.30 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 0.87/1.30 'tc_fun'( U, 'tc_bool' ) ) ), ~( 'c_Relation_Osingle__valued'(
% 0.87/1.30 'c_Relation_Oconverse'( X, T, U ), U, T ) ) ],
% 0.87/1.30 [ =( 'c_Relation_ORange'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), Z, T ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ORange'( X, Z,
% 0.87/1.30 T ), 'c_Relation_ORange'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ 'c_Wellfounded_Owf'( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.87/1.30 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 0.87/1.30 'c_Wellfounded_Owf'( X, Z ) ) ],
% 0.87/1.30 [ 'c_Wellfounded_Owf'( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.87/1.30 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 0.87/1.30 'c_Wellfounded_Owf'( Y, Z ) ) ],
% 0.87/1.30 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.87/1.30 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y ), ~( hBOOL(
% 0.87/1.30 'c_in'( X, Y, Z ) ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 0.87/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X, 'tc_fun'( Y,
% 0.87/1.30 'tc_bool' ) ), X ) ],
% 0.87/1.30 [ =( 'c_Relation_OField'( X, Y ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ODomain'( X, Y
% 0.87/1.30 , Y ), 'c_Relation_ORange'( X, Y, Y ), 'tc_fun'( Y, 'tc_bool' ) ) ) ]
% 0.87/1.30 ,
% 0.87/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.87/1.30 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.87/1.30 Y, X ), Z, X ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.87/1.30 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.30 T, X ), Z, X ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.87/1.30 'c_lessequals'( Y, T, X ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.87/1.30 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.87/1.30 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.87/1.30 Y, X ), Z, X ) ) ],
% 0.87/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.87/1.30 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.30 Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( 'c_Relation_Orel__comp'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.87/1.30 Z, T ), 'tc_bool' ) ), U, Z, T, W ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.87/1.30 , U, Z, T, W ), 'c_Relation_Orel__comp'( Y, U, Z, T, W ), 'tc_fun'(
% 0.87/1.30 'tc_prod'( Z, W ), 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( 'c_Relation_Orel__comp'( X,
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'(
% 0.87/1.30 T, U ), 'tc_bool' ) ), W, T, U ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.87/1.30 , Y, W, T, U ), 'c_Relation_Orel__comp'( X, Z, W, T, U ), 'tc_fun'(
% 0.87/1.30 'tc_prod'( W, U ), 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( 'c_Relation_OField'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 X, Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_OField'( X, Z )
% 0.87/1.30 , 'c_Relation_OField'( Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ ~( 'class_HOL_Ominus'( X ) ), =( hAPP( 'c_HOL_Ominus__class_Ominus'( Y
% 0.87/1.30 , Z, 'tc_fun'( 't_a', X ) ), 'v_x' ), 'c_HOL_Ominus__class_Ominus'( hAPP(
% 0.87/1.30 Y, 'v_x' ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.87/1.30 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.87/1.30 , 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.87/1.30 , 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.87/1.30 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.30 Z, T, X ), X ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.87/1.30 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.30 T, Z, X ), X ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.87/1.30 'c_lessequals'( Y, T, X ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.87/1.30 'c_lessequals'( Z, T, X ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.87/1.30 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.30 Z, T, X ), X ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.87/1.30 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.30 T, Z, X ), X ) ) ],
% 0.87/1.30 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.30 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.30 Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( 'c_Relation_OField'( 'v_r', 't_a' ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ODomain'( 'v_r'
% 0.87/1.30 , 't_a', 't_a' ), 'c_Relation_ORange'( 'v_r', 't_a', 't_a' ), 'tc_fun'(
% 0.87/1.30 't_a', 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.87/1.30 [ =( 'c_Relation_ODomain'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), Z, T ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ODomain'( X, Z
% 0.87/1.30 , T ), 'c_Relation_ODomain'( Y, Z, T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.87/1.30 ,
% 0.87/1.30 [ =( 'c_Set_Oinsert'( X, Y, Z ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X,
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_Wellfounded_Oacc'( X, Y ), 'c_Wellfounded_Oacc'( Z
% 0.87/1.30 , Y ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'(
% 0.87/1.30 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.87/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.87/1.30 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.30 Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.87/1.30 ) ) ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_Relation_ORange'(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.87/1.30 Z, T ), 'tc_bool' ) ), Z, T ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_ORange'( X, Z,
% 0.87/1.30 T ), 'c_Relation_ORange'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.30 T, 'tc_bool' ) ) ],
% 0.87/1.30 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.87/1.30 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1'( X, Z, T ) ) )
% 0.87/1.30 ), ~( 'c_Wellfounded_Owf'( Z, T ) ) ],
% 0.87/1.30 [ =( 'c_Relation_OField'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.87/1.30 'tc_prod'( X, X ), 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.30 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( 'c_Transitive__Closure_Ortrancl'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.87/1.30 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.87/1.30 'tc_bool' ) ), Y ), 'c_Transitive__Closure_Ortrancl'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 0.87/1.30 Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 0.87/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.87/1.30 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ),
% 0.87/1.30 hBOOL( 'c_in'( X, T, Z ) ) ],
% 0.87/1.30 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.87/1.30 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 0.87/1.30 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.87/1.30 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X, 'tc_fun'( T,
% 0.87/1.30 'tc_bool' ) ), Y ) ) ) ],
% 0.87/1.30 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.87/1.30 'tc_bool' ) ), Y ) ) ) ],
% 0.87/1.30 [ =( 'c_Relation_ORange'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, T ), U,
% 0.87/1.30 'tc_prod'( Z, T ) ), Z, T ), 'c_Set_Oinsert'( Y, 'c_Relation_ORange'( U,
% 0.87/1.30 Z, T ), T ) ) ],
% 0.87/1.30 [ 'c_Relation_Osym'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y
% 0.87/1.30 , 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Osym'(
% 0.87/1.30 Y, Z ) ), ~( 'c_Relation_Osym'( X, Z ) ) ],
% 0.87/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ),
% 0.87/1.30 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Y ), hBOOL( 'c_in'( X, Y
% 0.87/1.30 , Z ) ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X,
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z
% 0.87/1.30 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.87/1.30 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T,
% 0.87/1.30 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ ~( =( hAPP( X, 'c_List_Osko__Recdef__Xcuts__eq__1__1'( X, Y, Z, T, U,
% 0.87/1.30 W ) ), hAPP( Y, 'c_List_Osko__Recdef__Xcuts__eq__1__1'( X, Y, Z, T, U, W
% 0.87/1.30 ) ) ) ), =( 'c_Recdef_Ocut'( X, Z, T, U, W ), 'c_Recdef_Ocut'( Y, Z, T,
% 0.87/1.30 U, W ) ) ],
% 0.87/1.30 [ 'c_Relation_Osingle__valued'( 'c_Relation_OId__on'( X, Y ), Y, Y ) ]
% 0.87/1.30 ,
% 0.87/1.30 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_Wellfounded_Oacyclic'(
% 0.87/1.30 'c_Set_Oinsert'( 'c_Pair'( Z, T, Y, Y ), X, 'tc_prod'( Y, Y ) ), Y ) ) ]
% 0.87/1.30 ,
% 0.87/1.30 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( T, Z )
% 0.87/1.30 , X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ],
% 0.87/1.30 [ hBOOL( 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 0.87/1.30 'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Z, T ) ) ), ~(
% 0.87/1.30 hBOOL( 'c_in'( X, Y, T ) ) ) ],
% 0.87/1.30 [ hBOOL( 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 0.87/1.30 'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Z, T ) ) ), ~(
% 0.87/1.30 hBOOL( 'c_in'( X, Y, T ) ) ) ],
% 0.87/1.30 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ) ), ~( hBOOL( 'c_in'(
% 0.87/1.30 X, Z, T ) ) ) ],
% 0.87/1.30 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ) ), ~( hBOOL( 'c_in'(
% 0.87/1.30 X, Z, T ) ) ) ],
% 0.87/1.30 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.87/1.30 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 0.87/1.30 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.87/1.30 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.87/1.30 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ hBOOL( 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.87/1.30 'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Y, T ) ) ) ],
% 0.87/1.30 [ hBOOL( 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.87/1.30 'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Z, T ) ) ) ],
% 0.87/1.30 [ hBOOL( 'c_in'( X, Y, Z ) ), =( X, T ), ~( hBOOL( 'c_in'( X,
% 0.87/1.30 'c_Set_Oinsert'( T, Y, Z ), Z ) ) ) ],
% 0.87/1.30 [ hBOOL( 'c_in'( X, Y, Z ) ), hBOOL( 'c_in'( X, T, Z ) ), ~( hBOOL(
% 0.87/1.30 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 'tc_fun'(
% 0.87/1.30 Z, 'tc_bool' ) ), Z ) ) ) ],
% 0.87/1.30 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X,
% 0.87/1.30 'c_HOL_Ominus__class_Ominus'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.87/1.30 ,
% 0.87/1.30 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X,
% 0.87/1.30 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.87/1.30 ,
% 0.87/1.30 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.87/1.30 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.87/1.30 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.87/1.30 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X,
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), Z ) ) ) ],
% 0.87/1.30 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X,
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), Z ) ) ) ],
% 0.87/1.30 [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.87/1.30 'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL( 'c_in'( X, Y
% 0.87/1.30 , T ) ) ) ],
% 0.87/1.30 [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.87/1.30 'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL( 'c_in'( X, Y
% 0.87/1.30 , T ) ) ) ],
% 0.87/1.30 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ) ) ),
% 0.87/1.30 hBOOL( 'c_in'( X, T, Z ) ), hBOOL( 'c_in'( X, Y, Z ) ), =( Y, T ) ],
% 0.87/1.30 [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( hBOOL( 'c_in'( X, Y, Z ) ) ) ]
% 0.87/1.30 ,
% 0.87/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.87/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.87/1.30 ,
% 0.87/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.87/1.30 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.87/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.87/1.30 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.87/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.87/1.30 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.87/1.30 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.87/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.87/1.30 ,
% 0.87/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.87/1.30 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.87/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.87/1.30 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.87/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.87/1.30 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.87/1.30 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.87/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.87/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.87/1.30 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.87/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.87/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.87/1.30 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.87/1.30 , X ) ) ],
% 0.87/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.87/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.87/1.30 , X ) ) ],
% 0.87/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.87/1.30 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.87/1.30 ) ) ],
% 0.87/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.87/1.30 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.87/1.30 ) ) ],
% 0.87/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.87/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.87/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.87/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.87/1.30 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.30 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.87/1.30 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.30 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.87/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.87/1.30 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.87/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.87/1.30 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.87/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.87/1.30 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.87/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.87/1.30 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.87/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.87/1.30 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.87/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.87/1.30 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.87/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.87/1.30 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.87/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.87/1.30 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.87/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.87/1.30 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.87/1.30 'c_HOL_Oord__class_Oless'( Y,
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.87/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.87/1.30 'c_HOL_Oord__class_Oless'( Y,
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.87/1.30 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.87/1.30 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~(
% 0.87/1.30 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.87/1.30 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 0.87/1.30 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.87/1.30 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~(
% 0.87/1.30 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 0.87/1.30 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.87/1.30 'tc_nat' ) ) ],
% 0.87/1.30 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.87/1.30 'tc_nat' ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.87/1.30 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.30 T, X ), Z, X ) ) ],
% 0.87/1.30 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( 't_a', X )
% 0.87/1.30 ), 'v_x' ), 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( Y, 'v_x'
% 0.87/1.30 ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.87/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.87/1.30 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.87/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.87/1.30 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.87/1.30 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 0.87/1.30 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( Z, Y, 'tc_nat' )
% 0.87/1.30 ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 0.87/1.30 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 0.87/1.30 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.87/1.30 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.87/1.30 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( T
% 0.87/1.30 , Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ) ) ],
% 0.87/1.30 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( 'c_lessequals'(
% 0.87/1.30 Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'(
% 0.87/1.30 'tc_prod'( Y, Y ), 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ) ]
% 0.87/1.30 ,
% 0.87/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.87/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.87/1.30 ,
% 0.87/1.30 [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'( Z, Y ) ), ~(
% 0.87/1.30 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.87/1.30 [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool'
% 0.87/1.30 ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 0.87/1.30 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'(
% 0.87/1.30 'tc_prod'( Y, Y ), 'tc_bool' ) ) ), ~( 'c_Wellfounded_Oacyclic'( Z, Y ) )
% 0.87/1.30 ],
% 0.87/1.30 [ 'c_Relation_Osingle__valued'( X, Y, Z ), ~(
% 0.87/1.30 'c_Relation_Osingle__valued'( T, Y, Z ) ), ~( 'c_lessequals'( X, T,
% 0.87/1.30 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.30 T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.87/1.30 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.87/1.30 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.87/1.30 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.30 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 0.87/1.30 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.30 T, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.87/1.30 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.30 Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_Transitive__Closure_Otrancl'( X, Y ),
% 0.87/1.30 'c_Product__Type_OSigma'( 'c_Relation_OField'( X, Y ), 'c_COMBK'(
% 0.87/1.30 'c_Relation_OField'( X, Y ), 'tc_fun'( Y, 'tc_bool' ), Y ), Y, Y ),
% 0.87/1.30 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_Relation_ODomain'( X, Y, Z ), 'c_Relation_ODomain'(
% 0.87/1.30 T, Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'(
% 0.87/1.30 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.87/1.30 , 'tc_bool' ) ), Z ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.87/1.30 , 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.87/1.30 Z, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.87/1.30 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 0.87/1.30 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.30 T, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( 'c_Product__Type_OSigma'( X, 'c_COMBK'(
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.87/1.30 'tc_bool' ), Z ), Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.87/1.30 'tc_prod'( Z, Y ), 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( 'c_List_Oset'( 'c_List_Olist_OCons'( X, Y, Z ), Z ),
% 0.87/1.30 'c_Set_Oinsert'( X, 'c_List_Oset'( Y, Z ), Z ) ) ],
% 0.87/1.30 [ hBOOL( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ), ~( hBOOL(
% 0.87/1.30 hAPP( X, T ) ) ) ],
% 0.87/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.87/1.30 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), Z ), ~(
% 0.87/1.30 'c_lessequals'( X, Y, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 0.87/1.30 , X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.87/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.87/1.30 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.87/1.30 ,
% 0.87/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.87/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.87/1.30 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.87/1.30 ,
% 0.87/1.30 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z )
% 0.87/1.30 , 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 0.87/1.30 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.30 ) ],
% 0.87/1.30 [ =( 'c_Transitive__Closure_Otrancl'( 'c_Orderings_Obot__class_Obot'(
% 0.87/1.30 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' ) ), X ),
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' )
% 0.87/1.30 ) ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_Relation_OImage'( X, Y, Z, T ), 'c_Relation_OImage'(
% 0.87/1.30 U, W, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, W,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, U, 'tc_fun'(
% 0.87/1.30 'tc_prod'( Z, T ), 'tc_bool' ) ) ) ],
% 0.87/1.30 [ 'c_lessequals'( X, 'c_Product__Type_OSigma'( Y, 'c_COMBK'( Y, 'tc_fun'(
% 0.87/1.30 Z, 'tc_bool' ), Z ), Z, Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ),
% 0.87/1.30 ~( 'c_Equiv__Relations_Oequiv'( Y, X, Z ) ) ],
% 0.87/1.30 [ 'c_lessequals'( X, Y, 'tc_nat' ), 'c_lessequals'( Y, X, 'tc_nat' ) ]
% 0.87/1.30 ,
% 0.87/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.87/1.30 'c_lessequals'( Z, Y, X ) ],
% 0.87/1.30 [ 'c_Relation_Oirrefl'( X, Y ), ~(
% 0.87/1.30 'c_Order__Relation_Ostrict__linear__order__on'( Z, X, Y ) ) ],
% 0.87/1.30 [ 'c_Wellfounded_Oacyclic'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, Z ), T,
% 0.87/1.30 'tc_prod'( Z, Z ) ), Z ), hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.87/1.30 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.87/1.30 'c_Wellfounded_Oacyclic'( T, Z ) ) ],
% 0.87/1.30 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.87/1.30 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.87/1.30 'c_Wellfounded_Oacyclic'( 'c_Set_Oinsert'( 'c_Pair'( Y, X, Z, Z ), T,
% 0.87/1.30 'tc_prod'( Z, Z ) ), Z ) ) ],
% 0.87/1.30 [ hBOOL( hAPP( X, Y ) ), hBOOL( 'c_in'( 'c_Pair'(
% 0.87/1.30 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1'(
% 0.87/1.30 X, Z, T, U ),
% 0.87/1.30 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2'(
% 0.87/1.30 X, Z, T, U ), U, U ), T, 'tc_prod'( U, U ) ) ), ~( hBOOL( hAPP( X, Z ) )
% 0.87/1.30 ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, Z, U, U ),
% 0.87/1.30 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) ) ) ],
% 0.87/1.30 [ hBOOL( hAPP( X, Y ) ), hBOOL( 'c_in'( 'c_Pair'(
% 0.87/1.30 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1'( X, Z,
% 0.87/1.30 T, U ), 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2'(
% 0.87/1.30 X, Z, T, U ), U, U ), T, 'tc_prod'( U, U ) ) ), ~( hBOOL( hAPP( X, Z ) )
% 0.87/1.30 ), ~( hBOOL( 'c_in'( 'c_Pair'( Z, Y, U, U ),
% 0.87/1.30 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) ) ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Z, 'tc_fun'(
% 0.87/1.30 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.87/1.30 'c_Relation_Orel__comp'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.30 'c_Transitive__Closure_Ortrancl'( X, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y )
% 0.87/1.30 , 'tc_bool' ) ), X, Y, Y, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool'
% 0.87/1.30 ) ) ), ~( 'c_lessequals'( 'c_Relation_OId'( Y ), Z, 'tc_fun'( 'tc_prod'(
% 0.87/1.30 Y, Y ), 'tc_bool' ) ) ) ],
% 0.87/1.30 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ) ) ), hBOOL( 'c_in'( X, Y, Z ) ) ],
% 0.87/1.30 [ =( X, Y ), ~( hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) )
% 0.87/1.30 ],
% 0.87/1.30 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.87/1.30 =( 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.87/1.30 ) ) ],
% 0.87/1.30 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.30 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ) ],
% 0.87/1.30 [ hBOOL( 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ) ), =( X, T ), ~( hBOOL(
% 0.87/1.30 'c_in'( X, 'c_List_Oset'( 'c_List_Olist_OCons'( T, Y, Z ), Z ), Z ) ) ) ]
% 0.87/1.30 ,
% 0.87/1.30 [ =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( Z, Y, T, U ), W, 'tc_prod'( T,
% 0.87/1.30 U ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Z, X, T, U ), W, 'tc_prod'( T, U )
% 0.87/1.30 ) ) ), ~( 'c_Relation_Osingle__valued'( W, T, U ) ) ],
% 0.87/1.30 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, T ), U ) ), ~( hBOOL(
% 0.87/1.30 'c_in'( 'c_Pair'( Z, U, W, W ), V0, 'tc_prod'( W, W ) ) ) ), ~( hBOOL(
% 0.87/1.30 'c_in'( 'c_Pair'( Y, T, V1, V1 ), V2, 'tc_prod'( V1, V1 ) ) ) ), ~(
% 0.87/1.30 'c_Equiv__Relations_Ocongruent2'( V2, V0, X, V1, W, V3 ) ) ],
% 0.87/1.30 [ =( 'c_List_Oset'( 'c_List_Olist_ONil'( X ), X ),
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.30 'c_List_Oset'( Y, X ) ) ), =( Y, 'c_List_Olist_ONil'( X ) ) ],
% 0.87/1.30 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.30 'c_List_Oset'( 'c_List_Olist_ONil'( X ), X ) ) ],
% 0.87/1.30 [ ~( =( 'c_List_Oset'( X, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.87/1.30 Y, 'tc_bool' ) ) ) ), =( X, 'c_List_Olist_ONil'( Y ) ) ],
% 0.87/1.30 [ hBOOL( 'c_in'(
% 0.87/1.30 'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1'( X, Y, Z ), X,
% 0.87/1.30 Z ) ), ~( hBOOL( 'c_in'( T, X, Z ) ) ), ~( 'c_Wellfounded_Owf'( Y, Z ) )
% 0.87/1.30 ],
% 0.87/1.30 [ hBOOL( 'c_in'( 'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1'( X,
% 0.87/1.30 Y, Z ), X, Z ) ), ~( hBOOL( 'c_in'( T, X, Z ) ) ), ~( 'c_Wellfounded_Owf'(
% 0.87/1.30 Y, Z ) ) ],
% 0.87/1.30 [ ~( =( 'c_Product__Type_OSigma'( X, 'c_COMBK'( Y, 'tc_fun'( Z,
% 0.87/1.30 'tc_bool' ), T ), T, Z ), 'c_Product__Type_OSigma'( U, 'c_COMBK'( Y,
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ), T ), T, Z ) ) ), ~( hBOOL( 'c_in'( W, Y, Z ) )
% 0.87/1.30 ), =( X, U ) ],
% 0.87/1.30 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_Wellfounded_Owf'( 'c_Set_Oinsert'(
% 0.87/1.30 'c_Pair'( Z, T, Y, Y ), X, 'tc_prod'( Y, Y ) ), Y ) ) ],
% 0.87/1.30 [ hBOOL( 'c_in'( 'c_ATP__Linkup_Osko__Relation__XImageE__1__1'( X, Y, Z
% 0.87/1.30 , T, U ), X, T ) ), ~( hBOOL( 'c_in'( Y, 'c_Relation_OImage'( Z, X, T, U
% 0.87/1.30 ), U ) ) ) ],
% 0.87/1.30 [ hBOOL( 'c_in'( 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1'( X, Y
% 0.87/1.30 , Z, T, U ), X, T ) ), ~( hBOOL( 'c_in'( Y, 'c_Relation_OImage'( Z, X, T
% 0.87/1.30 , U ), U ) ) ) ],
% 0.87/1.30 [ hBOOL( 'c_in'( X, 'c_Transitive__Closure_Ortrancl'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'(
% 0.87/1.30 T, T ), 'tc_bool' ) ), T ), 'tc_prod'( T, T ) ) ), ~( hBOOL( 'c_in'( X,
% 0.87/1.30 'c_Transitive__Closure_Ortrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ) ],
% 0.87/1.30 [ hBOOL( 'c_in'( X, 'c_Transitive__Closure_Ortrancl'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'(
% 0.87/1.30 T, T ), 'tc_bool' ) ), T ), 'tc_prod'( T, T ) ) ), ~( hBOOL( 'c_in'( X,
% 0.87/1.30 'c_Transitive__Closure_Ortrancl'( Z, T ), 'tc_prod'( T, T ) ) ) ) ],
% 0.87/1.30 [ hBOOL( 'c_in'( X, 'c_Transitive__Closure_Otrancl'( Y, Z ), 'tc_prod'(
% 0.87/1.30 Z, Z ) ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( 'tc_prod'( Z, Z ),
% 0.87/1.30 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, 'c_Transitive__Closure_Otrancl'( T
% 0.87/1.30 , Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.87/1.30 [ =( 'c_Product__Type_OSigma'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.87/1.30 X, 'tc_bool' ) ), Y, X, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.87/1.30 'tc_prod'( X, Z ), 'tc_bool' ) ) ) ],
% 0.87/1.30 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.87/1.30 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, Z, T ) ) ) ),
% 0.87/1.30 ~( hBOOL( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z, T ), T ) ) ) ],
% 0.87/1.30 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.87/1.30 'v_sko__Wellfounded__Xacc__Xinducts__1'( X, Z ) ) ) ), ~( hBOOL( 'c_in'(
% 0.87/1.30 Y, 'c_Wellfounded_Oacc'( Z, 't_a' ), 't_a' ) ) ) ],
% 0.87/1.30 [ hBOOL( hAPP( X, Y ) ), hBOOL( 'c_in'(
% 0.87/1.30 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, Z, T ),
% 0.87/1.30 'c_Wellfounded_Oacc'( Z, T ), T ) ), ~( hBOOL( 'c_in'( Y,
% 0.87/1.30 'c_Wellfounded_Oacc'( Z, T ), T ) ) ) ],
% 0.87/1.30 [ ~( hBOOL( 'c_in'(
% 0.87/1.30 'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1'( X, Y, Z ),
% 0.87/1.30 'c_Wellfounded_Oacc'( X, Z ), Z ) ) ), hBOOL( 'c_in'( Y,
% 0.87/1.30 'c_Wellfounded_Oacc'( X, Z ), Z ) ) ],
% 0.87/1.30 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.87/1.30 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, Z, T ) )
% 0.87/1.30 ) ), ~( hBOOL( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z, T ), T ) ) ) ],
% 0.87/1.30 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.87/1.30 'v_sko__Wellfounded__Xacc__Xinduct__1'( X, Z ) ) ) ), ~( hBOOL( 'c_in'( Y
% 0.87/1.30 , 'c_Wellfounded_Oacc'( Z, 't_a' ), 't_a' ) ) ) ],
% 0.87/1.30 [ hBOOL( 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~( hBOOL(
% 0.87/1.30 'c_in'( 'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1'( Y, X, Z )
% 0.87/1.30 , 'c_Wellfounded_Oacc'( Y, Z ), Z ) ) ) ],
% 0.87/1.30 [ hBOOL( hAPP( X, Y ) ), hBOOL( 'c_in'(
% 0.87/1.30 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, Z, T ),
% 0.87/1.30 'c_Wellfounded_Oacc'( Z, T ), T ) ), ~( hBOOL( 'c_in'( Y,
% 0.87/1.30 'c_Wellfounded_Oacc'( Z, T ), T ) ) ) ],
% 0.87/1.30 [ ~( =( 'c_Relation_ODomain'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.30 'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.30 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( 'c_Relation_ODomain'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.87/1.30 'tc_prod'( X, Y ), 'tc_bool' ) ), X, Y ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.30 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( 'c_Relation_ORange'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.87/1.30 'tc_prod'( X, Y ), 'tc_bool' ) ), X, Y ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.30 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.87/1.30 [ 'c_Relation_Orefl__on'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.87/1.30 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, X
% 0.87/1.30 ), 'tc_bool' ) ), X ) ],
% 0.87/1.30 [ ~( =( 'c_Relation_ORange'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.30 'tc_fun'( Z, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.30 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.87/1.30 [ 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.87/1.30 , X, Y, Y, Y ), 'c_Relation_Orel__comp'( Z, X, Y, Y, Y ), 'tc_fun'(
% 0.87/1.30 'tc_prod'( Y, Y ), 'tc_bool' ) ), Z, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.87/1.30 'tc_bool' ) ), Y ), ~( 'c_Wellfounded_Owf'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 0.87/1.30 Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 0.87/1.30 [ 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.87/1.30 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 0.87/1.30 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.87/1.30 , X, Z, Z, Z ), 'c_Relation_Orel__comp'( Y, X, Z, Z, Z ), 'tc_fun'(
% 0.87/1.30 'tc_prod'( Z, Z ), 'tc_bool' ) ), Y, 'tc_fun'( 'tc_prod'( Z, Z ),
% 0.87/1.30 'tc_bool' ) ), Z ) ) ],
% 0.87/1.30 [ ~( =( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ),
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' )
% 0.87/1.30 ) ) ), 'c_Wellfounded_Owf'( X, Y ) ],
% 0.87/1.30 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.30 'c_Relation_ODomain'( X, Y, Y ), 'c_Relation_ORange'( Z, Y, Y ), 'tc_fun'(
% 0.87/1.30 Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool'
% 0.87/1.30 ) ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ), ~( 'c_Wellfounded_Owf'( X, Y
% 0.87/1.30 ) ), 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ],
% 0.87/1.30 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ),
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_Orel__comp'(
% 0.87/1.30 'c_Transitive__Closure_Otrancl'( X, Y ), X, Y, Y, Y ), 'tc_fun'(
% 0.87/1.30 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.87/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.30 'c_Transitive__Closure_Ortrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 0.87/1.30 'tc_prod'( Y, Y ), 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.87/1.30 ) ) ],
% 0.87/1.30 [ =( 'c_Transitive__Closure_Ortrancl'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 0.87/1.30 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.87/1.30 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.87/1.30 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Orderings_Obot__class_Obot'(
% 0.87/1.30 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' ) ), X ), 'c_Relation_OId'( X ) )
% 0.87/1.30 ],
% 0.87/1.30 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.87/1.30 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.87/1.30 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.87/1.30 [ =( 'c_Relation_OId__on'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.87/1.30 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'(
% 0.87/1.30 X, X ), 'tc_bool' ) ) ) ],
% 0.87/1.30 [ 'c_Relation_Oantisym'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ),
% 0.87/1.30 ~( 'c_Wellfounded_Oacyclic'( X, Y ) ) ],
% 0.87/1.30 [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), X, 'tc_fun'(
% 0.87/1.30 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_Relation_Otrans'( X, Y ) ) ],
% 0.87/1.30 [ 'c_Relation_Osym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.87/1.30 'c_Relation_Oconverse'( X, Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool'
% 0.87/1.30 ) ), Y ) ],
% 0.87/1.30 [ 'c_Relation_Osym'( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.87/1.30 'c_Relation_Oconverse'( X, Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool'
% 0.87/1.30 ) ), Y ) ],
% 0.87/1.30 [ 'c_Relation_Otrans'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.87/1.30 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.87/1.30 ~( 'c_Relation_Otrans'( X, Y ) ) ],
% 0.87/1.30 [ =( 'c_Relation_OImage'( 'c_Relation_OId__on'( X, Y ), Z, Y, Y ),
% 0.87/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( Y,
% 0.87/1.30 'tc_bool' ) ) ) ],
% 0.87/1.30 [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'(
% 0.87/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 0.87/1.30 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 0.87/1.30 [ 'c_Relation_Oantisym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X
% 0.87/1.30 , 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y )
% 0.87/1.30 , ~( 'c_Relation_Oantisym'( X, Y ) ) ],
% 0.87/1.30 [ 'c_Relation_Ototal__on'( X, Y, Z ), ~( 'c_Relation_Ototal__on'( X,
% 0.87/1.30 'c_HOL_Ominus__class_Ominus'( Y, 'c_Relation_OId'( Z ), 'tc_fun'(
% 0.87/1.30 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ) ) ],
% 0.87/1.30 [ 'c_Relation_Ototal__on'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.87/1.30 'c_Relation_OId'( Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ),
% 0.87/1.30 ~( 'c_Relation_Ototal__on'( X, Y, Z ) ) ],
% 0.87/1.30 [ =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.87/1.30 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), hBOOL(
% 0.87/1.30 'c_in'( X, 'c_Relation_ODomain'( T, Z, Z ), Z ) ) ],
% 0.87/1.30 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.87/1.30 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.87/1.30 ), hBOOL( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ), ~(
% 0.87/1.30 hBOOL( 'c_in'( T, U, Z ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) )
% 0.87/1.30 ],
% 0.87/1.30 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.87/1.30 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.87/1.30 ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ), hBOOL( 'c_in'( 'c_Pair'(
% 0.87/1.30 Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( T, U, Z ) ) ),
% 0.87/1.30 ~( hBOOL( 'c_in'( Y, U, Z ) ) ) ],
% 0.87/1.30 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.87/1.30 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.87/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.87/1.30 , ~( hBOOL( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ) ),
% 0.87/1.30 ~( hBOOL( 'c_in'( T, U, Z ) ) ), ~( hBOOL( 'c_in'( Y, U, Z ) ) ), ~(
% 0.87/1.31 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.87/1.31 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.87/1.31 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.87/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.87/1.31 ), ~( hBOOL( 'c_in'( T, U, Z ) ) ), ~( hBOOL( 'c_in'( Y, U, Z ) ) ), ~(
% 0.87/1.31 'c_Equiv__Relations_Oequiv'( U, X, Z ) ), hBOOL( 'c_in'( 'c_Pair'( Y, T,
% 0.87/1.31 Z, Z ), X, 'tc_prod'( Z, Z ) ) ) ],
% 0.87/1.31 [ 'c_List_Odistinct'( 'c_List_Olist_OCons'( X, 'c_List_Olist_OCons'( Y,
% 0.87/1.31 'c_List_Olist_OCons'( 'v_sko__Arrow__Order__Mirabelle__Xthird__alt__1'( X
% 0.87/1.31 , Y ), 'c_List_Olist_ONil'( 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt' )
% 0.87/1.31 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.87/1.31 ), =( X, Y ) ],
% 0.87/1.31 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.87/1.31 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.87/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.87/1.31 , ~( hBOOL( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ) ),
% 0.87/1.31 ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.87/1.31 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.87/1.31 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.87/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.87/1.31 , ~( hBOOL( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ) ),
% 0.87/1.31 ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( X, 'c_Relation_OImage'( Y, 'c_Set_Oinsert'( Z,
% 0.87/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T, U ),
% 0.87/1.31 U ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Z, X, T, U ), Y, 'tc_prod'( T, U ) ) )
% 0.87/1.31 ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), ~(
% 0.87/1.31 hBOOL( 'c_in'( Y, 'c_Relation_OImage'( U, 'c_Set_Oinsert'( X,
% 0.87/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, T ),
% 0.87/1.31 T ) ) ) ],
% 0.87/1.31 [ 'c_lessequals'( 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X, Y
% 0.87/1.31 , Y ), X, Y, Y, Y ), X, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~(
% 0.87/1.31 'c_Relation_Otrans'( X, Y ) ), ~( 'c_Relation_Osym'( X, Y ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( X, 'c_Relation_OImage'( Y, 'c_Set_Oinsert'( X,
% 0.87/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.87/1.31 Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( 'c_Equiv__Relations_Oequiv'( T
% 0.87/1.31 , Y, Z ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 0.87/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1'( Y, X, Z, T )
% 0.87/1.31 , T, T ), 'c_Transitive__Closure_Ortrancl'( Y, T ), 'tc_prod'( T, T ) ) )
% 0.87/1.31 , ~( hBOOL( 'c_in'( 'c_Pair'( X, Z, T, T ),
% 0.87/1.31 'c_Transitive__Closure_Otrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.87/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1'( X, Y, Z, T ),
% 0.87/1.31 Z, T, T ), 'c_Transitive__Closure_Ortrancl'( X, T ), 'tc_prod'( T, T ) )
% 0.87/1.31 ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, Z, T, T ),
% 0.87/1.31 'c_Transitive__Closure_Otrancl'( X, T ), 'tc_prod'( T, T ) ) ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XRangeE__1__1'(
% 0.87/1.31 X, Y, Z, T ), X, T, Z ), Y, 'tc_prod'( T, Z ) ) ), ~( hBOOL( 'c_in'( X,
% 0.87/1.31 'c_Relation_ORange'( Y, T, Z ), Z ) ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.87/1.31 'c_ATP__Linkup_Osko__Relation__XRange__iff__1__1'( X, Y, Z, T ), X, T, Z
% 0.87/1.31 ), Y, 'tc_prod'( T, Z ) ) ), ~( hBOOL( 'c_in'( X, 'c_Relation_ORange'( Y
% 0.87/1.31 , T, Z ), Z ) ) ) ],
% 0.87/1.31 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.87/1.31 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.87/1.31 'c_Wellfounded_Owf'( 'c_Set_Oinsert'( 'c_Pair'( Y, X, Z, Z ), T,
% 0.87/1.31 'tc_prod'( Z, Z ) ), Z ) ) ],
% 0.87/1.31 [ 'c_Wellfounded_Owf'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, Z ), T,
% 0.87/1.31 'tc_prod'( Z, Z ) ), Z ), hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.87/1.31 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.87/1.31 'c_Wellfounded_Owf'( T, Z ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.87/1.31 'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1'( X, Y, Z ), Y, Z
% 0.87/1.31 , Z ), X, 'tc_prod'( Z, Z ) ) ), hBOOL( 'c_in'( Y, 'c_Wellfounded_Oacc'(
% 0.87/1.31 X, Z ), Z ) ) ],
% 0.87/1.31 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( 'c_in'(
% 0.87/1.31 'c_Pair'( Z, 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'(
% 0.87/1.31 X, T, U ), U, U ), T, 'tc_prod'( U, U ) ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.87/1.31 'c_Wellfounded_Oacc'( T, U ), U ) ) ) ],
% 0.87/1.31 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( 'c_in'(
% 0.87/1.31 'c_Pair'( Z, 'v_sko__Wellfounded__Xacc__Xinduct__1'( X, T ), 't_a', 't_a'
% 0.87/1.31 ), T, 'tc_prod'( 't_a', 't_a' ) ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.87/1.31 'c_Wellfounded_Oacc'( T, 't_a' ), 't_a' ) ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), hBOOL( 'c_in'(
% 0.87/1.31 'c_Pair'( 'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1'( Y, X, Z
% 0.87/1.31 ), X, Z, Z ), Y, 'tc_prod'( Z, Z ) ) ) ],
% 0.87/1.31 [ hBOOL( hAPP( X, Y ) ), hBOOL( 'c_in'( Z, 'c_Wellfounded_Oacc'( T,
% 0.87/1.31 't_a' ), 't_a' ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Z,
% 0.87/1.31 'v_sko__Wellfounded__Xacc__Xinducts__1'( X, T ), 't_a', 't_a' ), T,
% 0.87/1.31 'tc_prod'( 't_a', 't_a' ) ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.87/1.31 'c_Wellfounded_Oacc'( T, 't_a' ), 't_a' ) ) ) ],
% 0.87/1.31 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( 'c_in'(
% 0.87/1.31 'c_Pair'( Z, 'v_sko__Wellfounded__Xacc__Xinducts__1'( X, T ), 't_a',
% 0.87/1.31 't_a' ), T, 'tc_prod'( 't_a', 't_a' ) ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.87/1.31 'c_Wellfounded_Oacc'( T, 't_a' ), 't_a' ) ) ) ],
% 0.87/1.31 [ hBOOL( hAPP( X, Y ) ), hBOOL( 'c_in'( Z, 'c_Wellfounded_Oacc'( T,
% 0.87/1.31 't_a' ), 't_a' ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Z,
% 0.87/1.31 'v_sko__Wellfounded__Xacc__Xinduct__1'( X, T ), 't_a', 't_a' ), T,
% 0.87/1.31 'tc_prod'( 't_a', 't_a' ) ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.87/1.31 'c_Wellfounded_Oacc'( T, 't_a' ), 't_a' ) ) ) ],
% 0.87/1.31 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( 'c_in'(
% 0.87/1.31 'c_Pair'( Z, 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, T
% 0.87/1.31 , U ), U, U ), T, 'tc_prod'( U, U ) ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.87/1.31 'c_Wellfounded_Oacc'( T, U ), U ) ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 0.87/1.31 'c_ATP__Linkup_Osko__Relation__XDomainE__1__1'( X, Y, Z, T ), Z, T ), Y,
% 0.87/1.31 'tc_prod'( Z, T ) ) ), ~( hBOOL( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T
% 0.87/1.31 ), Z ) ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 0.87/1.31 'c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1'( X, Y, Z, T ), Z, T )
% 0.87/1.31 , Y, 'tc_prod'( Z, T ) ) ), ~( hBOOL( 'c_in'( X, 'c_Relation_ODomain'( Y
% 0.87/1.31 , Z, T ), Z ) ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XImageE__1__1'(
% 0.87/1.31 X, Y, Z, T, U ), Y, T, U ), Z, 'tc_prod'( T, U ) ) ), ~( hBOOL( 'c_in'( Y
% 0.87/1.31 , 'c_Relation_OImage'( Z, X, T, U ), U ) ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.87/1.31 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1'( X, Y, Z, T, U ), Y, T
% 0.87/1.31 , U ), Z, 'tc_prod'( T, U ) ) ), ~( hBOOL( 'c_in'( Y, 'c_Relation_OImage'(
% 0.87/1.31 Z, X, T, U ), U ) ) ) ],
% 0.87/1.31 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X,
% 0.87/1.31 'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1'( Y, T, Z ), Z, Z ), T
% 0.87/1.31 , 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( U, Y, Z ) ) ), ~(
% 0.87/1.31 'c_Wellfounded_Owf'( T, Z ) ) ],
% 0.87/1.31 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X,
% 0.87/1.31 'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1'( Y, T, Z ), Z,
% 0.87/1.31 Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( U, Y, Z ) ) ), ~(
% 0.87/1.31 'c_Wellfounded_Owf'( T, Z ) ) ],
% 0.87/1.31 [ 'c_Order__Relation_Ostrict__linear__order__on'( X, Y, Z ), ~(
% 0.87/1.31 'c_Relation_Ototal__on'( X, Y, Z ) ), ~( 'c_Relation_Oirrefl'( Y, Z ) ),
% 0.87/1.31 ~( 'c_Relation_Otrans'( Y, Z ) ) ],
% 0.87/1.31 [ 'c_Nitpick_Orefl_H'( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'(
% 0.87/1.31 'c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1'( X, Y ),
% 0.87/1.31 'c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1'( X, Y ), Y, Y ), X,
% 0.87/1.31 'tc_prod'( Y, Y ) ) ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Wellfounded_Omlex__prod'( T
% 0.87/1.31 , U, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z )
% 0.87/1.31 , U, 'tc_prod'( Z, Z ) ) ) ), ~( 'c_lessequals'( hAPP( T, X ), hAPP( T, Y
% 0.87/1.31 ), 'tc_nat' ) ) ],
% 0.87/1.31 [ 'c_Relation_Otrans'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Relation_OId'(
% 0.87/1.31 Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ), ~(
% 0.87/1.31 'c_Relation_Oantisym'( X, Y ) ), ~( 'c_Relation_Otrans'( X, Y ) ) ],
% 0.87/1.31 [ 'c_Equiv__Relations_Ocongruent'( X, hAPP( Y, Z ), T, U ), ~( hBOOL(
% 0.87/1.31 'c_in'( Z, W, V0 ) ) ), ~( 'c_Equiv__Relations_Ocongruent2'( V1, X, Y, V0
% 0.87/1.31 , T, U ) ), ~( 'c_Equiv__Relations_Oequiv'( W, V1, V0 ) ) ],
% 0.87/1.31 [ 'c_Relation_Oirrefl'( X, Y ), hBOOL( 'c_in'( 'c_Pair'(
% 0.87/1.31 'c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1'( X, Y ),
% 0.87/1.31 'c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1'( X, Y ), Y, Y ), X,
% 0.87/1.31 'tc_prod'( Y, Y ) ) ) ],
% 0.87/1.31 [ =( 'c_Relation_ORange'( 'v_r', 't_a', 't_b' ), 'c_Relation_ODomain'(
% 0.87/1.31 'c_Relation_Oconverse'( 'v_r', 't_a', 't_b' ), 't_b', 't_a' ) ) ],
% 0.87/1.31 [ 'c_lessequals'( X, 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X
% 0.87/1.31 , Y, Y ), X, Y, Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~(
% 0.87/1.31 'c_Relation_Orefl__on'( Z, X, Y ) ) ],
% 0.87/1.31 [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.87/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_OId'( Y ),
% 0.87/1.31 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( X, Y ), X, Y,
% 0.87/1.31 Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.87/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.31 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 0.87/1.31 'tc_prod'( Y, Y ), 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.87/1.31 ) ) ],
% 0.87/1.31 [ =( 'c_Transitive__Closure_Otrancl'(
% 0.87/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 0.87/1.31 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.87/1.31 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.87/1.31 [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.87/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.31 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 0.87/1.31 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.87/1.31 [ =( 'c_Recdef_Ocut'( X, Y, Z, T, U ), 'c_Recdef_Ocut'( W, Y, Z, T, U )
% 0.87/1.31 ), hBOOL( 'c_in'( 'c_Pair'( 'c_List_Osko__Recdef__Xcuts__eq__1__1'( X, W
% 0.87/1.31 , Y, Z, T, U ), Z, T, T ), Y, 'tc_prod'( T, T ) ) ) ],
% 0.87/1.31 [ =( X, 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1'( Y, X,
% 0.87/1.31 Z ), 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1'( Y, X, Z ), Z, Z ) )
% 0.87/1.31 , ~( hBOOL( 'c_in'( X, 'c_Relation_OId__on'( Y, Z ), 'tc_prod'( Z, Z ) )
% 0.87/1.31 ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1'( X, Y, Z
% 0.87/1.31 ), X, Z ) ), ~( hBOOL( 'c_in'( Y, 'c_Relation_OId__on'( X, Z ),
% 0.87/1.31 'tc_prod'( Z, Z ) ) ) ) ],
% 0.87/1.31 [ 'c_Wellfounded_Owf'( X, Y ), ~( hBOOL( 'c_in'(
% 0.87/1.31 'c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1'( X, Y ),
% 0.87/1.31 'c_Wellfounded_Oacc'( X, Y ), Y ) ) ) ],
% 0.87/1.31 [ 'c_Wellfounded_Owf'( X, Y ), ~( hBOOL( 'c_in'(
% 0.87/1.31 'c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1'( X, Y ),
% 0.87/1.31 'c_Wellfounded_Oacc'( X, Y ), Y ) ) ) ],
% 0.87/1.31 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.87/1.31 ~( 'c_lessequals'( X, 'c_Relation_OImage'( Z, X, Y, Y ), 'tc_fun'( Y,
% 0.87/1.31 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ) ],
% 0.87/1.31 [ =( X, 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XIdE__1__1'( X, Y ),
% 0.87/1.31 'c_ATP__Linkup_Osko__Relation__XIdE__1__1'( X, Y ), Y, Y ) ), ~( hBOOL(
% 0.87/1.31 'c_in'( X, 'c_Relation_OId'( Y ), 'tc_prod'( Y, Y ) ) ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.87/1.31 'c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1'( X, Y, Z, T, U, W,
% 0.87/1.31 V0 ), Y, V0, W ), T, 'tc_prod'( V0, W ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'(
% 0.87/1.31 X, Y, U, W ), 'c_Relation_Orel__comp'( Z, T, U, V0, W ), 'tc_prod'( U, W
% 0.87/1.31 ) ) ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 0.87/1.31 'c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1'( X, Y, Z, T, U, W,
% 0.87/1.31 V0 ), U, V0 ), Z, 'tc_prod'( U, V0 ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X,
% 0.87/1.31 Y, U, W ), 'c_Relation_Orel__comp'( Z, T, U, V0, W ), 'tc_prod'( U, W ) )
% 0.87/1.31 ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 0.87/1.31 hBOOL( 'c_in'( Y, U, Z ) ) ), ~( 'c_lessequals'( 'c_Relation_OImage'( T,
% 0.87/1.31 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.87/1.31 'tc_bool' ) ), Z ), Z, Z ), 'c_Relation_OImage'( T, 'c_Set_Oinsert'( X,
% 0.87/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.87/1.31 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, T, Z ) )
% 0.87/1.31 ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 0.87/1.31 hBOOL( 'c_in'( U, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.31 'c_Relation_OImage'( T, 'c_Set_Oinsert'( X,
% 0.87/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.87/1.31 'c_Relation_OImage'( T, 'c_Set_Oinsert'( Y,
% 0.87/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.87/1.31 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ), ~( 'c_Equiv__Relations_Oequiv'( W, T
% 0.87/1.31 , Z ) ) ],
% 0.87/1.31 [ ~( hBOOL( 'c_in'( X, 'c_List_Oset'( Y, Z ), Z ) ) ), ~(
% 0.87/1.31 'c_List_Odistinct'( 'c_List_Olist_OCons'( X, Y, Z ), Z ) ) ],
% 0.87/1.31 [ 'c_List_Odistinct'( 'c_List_Olist_OCons'( X, Y, Z ), Z ), ~(
% 0.87/1.31 'c_List_Odistinct'( Y, Z ) ), hBOOL( 'c_in'( X, 'c_List_Oset'( Y, Z ), Z
% 0.87/1.31 ) ) ],
% 0.87/1.31 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ) ),
% 0.87/1.31 hBOOL( 'c_in'( 'c_Pair'(
% 0.87/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1'( Z,
% 0.87/1.31 Y ), 'c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1'(
% 0.87/1.31 Z, Y ), Y, Y ), 'c_Transitive__Closure_Otrancl'( Z, Y ), 'tc_prod'( Y, Y
% 0.87/1.31 ) ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.87/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1'( X, Y
% 0.87/1.31 , Z, T ), Z, T, T ), 'c_Transitive__Closure_Otrancl'( X, T ), 'tc_prod'(
% 0.87/1.31 T, T ) ) ), hBOOL( 'c_in'( 'c_Pair'( Y, Z, T, T ), X, 'tc_prod'( T, T ) )
% 0.87/1.31 ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, Z, T, T ),
% 0.87/1.31 'c_Transitive__Closure_Otrancl'( X, T ), 'tc_prod'( T, T ) ) ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 0.87/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1'( Y, X, Z, T ),
% 0.87/1.31 T, T ), Y, 'tc_prod'( T, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Z, T, T
% 0.87/1.31 ), 'c_Transitive__Closure_Otrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ) ]
% 0.87/1.31 ,
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 0.87/1.31 'v_sko__Transitive__Closure__Xtrancl__Xcases__1'( X, Y, Z ), 't_a', 't_a'
% 0.87/1.31 ), 'c_Transitive__Closure_Otrancl'( Z, 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.87/1.31 ) ) ), hBOOL( 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ), Z, 'tc_prod'(
% 0.87/1.31 't_a', 't_a' ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ),
% 0.87/1.31 'c_Transitive__Closure_Otrancl'( Z, 't_a' ), 'tc_prod'( 't_a', 't_a' ) )
% 0.87/1.31 ) ) ],
% 0.87/1.31 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ),
% 0.87/1.31 'c_Transitive__Closure_Otrancl'( Z, Y ), 'tc_prod'( Y, Y ) ) ) ), ~(
% 0.87/1.31 'c_Wellfounded_Oacyclic'( Z, Y ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.87/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1'( X, Y, Z, T ),
% 0.87/1.31 Y, T, T ), Z, 'tc_prod'( T, T ) ) ), hBOOL( 'c_in'( 'c_Pair'( X, Y, T, T
% 0.87/1.31 ), Z, 'tc_prod'( T, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, T, T ),
% 0.87/1.31 'c_Transitive__Closure_Otrancl'( Z, T ), 'tc_prod'( T, T ) ) ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 0.87/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1'( X, Y, Z, T ),
% 0.87/1.31 T, T ), 'c_Transitive__Closure_Otrancl'( Z, T ), 'tc_prod'( T, T ) ) ),
% 0.87/1.31 hBOOL( 'c_in'( 'c_Pair'( X, Y, T, T ), Z, 'tc_prod'( T, T ) ) ), ~( hBOOL(
% 0.87/1.31 'c_in'( 'c_Pair'( X, Y, T, T ), 'c_Transitive__Closure_Otrancl'( Z, T ),
% 0.87/1.31 'tc_prod'( T, T ) ) ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.87/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1'( X, Y, Z, T )
% 0.87/1.31 , Z, T, T ), X, 'tc_prod'( T, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, Z,
% 0.87/1.31 T, T ), 'c_Transitive__Closure_Otrancl'( X, T ), 'tc_prod'( T, T ) ) ) )
% 0.87/1.31 ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 0.87/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1'( Y, X
% 0.87/1.31 , Z, T ), T, T ), Y, 'tc_prod'( T, T ) ) ), hBOOL( 'c_in'( 'c_Pair'( X, Z
% 0.87/1.31 , T, T ), Y, 'tc_prod'( T, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Z, T,
% 0.87/1.31 T ), 'c_Transitive__Closure_Otrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ) ]
% 0.87/1.31 ,
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.87/1.31 'v_sko__Transitive__Closure__Xtrancl__Xcases__1'( X, Y, Z ), Y, 't_a',
% 0.87/1.31 't_a' ), Z, 'tc_prod'( 't_a', 't_a' ) ) ), hBOOL( 'c_in'( 'c_Pair'( X, Y
% 0.87/1.31 , 't_a', 't_a' ), Z, 'tc_prod'( 't_a', 't_a' ) ) ), ~( hBOOL( 'c_in'(
% 0.87/1.31 'c_Pair'( X, Y, 't_a', 't_a' ), 'c_Transitive__Closure_Otrancl'( Z, 't_a'
% 0.87/1.31 ), 'tc_prod'( 't_a', 't_a' ) ) ) ) ],
% 0.87/1.31 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( 'c_in'(
% 0.87/1.31 'c_Pair'( Z, 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1'(
% 0.87/1.31 X, T, U ), U, U ), T, 'tc_prod'( U, U ) ) ) ), ~( 'c_Wellfounded_Owf'( T
% 0.87/1.31 , U ) ) ],
% 0.87/1.31 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( 'c_in'(
% 0.87/1.31 'c_Pair'( Z, 'c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1'( X, T, U )
% 0.87/1.31 , U, U ), T, 'tc_prod'( U, U ) ) ) ), ~( 'c_Wellfounded_Owf'( T, U ) ) ]
% 0.87/1.31 ,
% 0.87/1.31 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( 'c_in'(
% 0.87/1.31 'c_Pair'( Z, 'c_List_Osko__Recdef__Xtfl__wf__induct__1__1'( X, T, U ), U
% 0.87/1.31 , U ), T, 'tc_prod'( U, U ) ) ) ), ~( 'c_Wellfounded_Owf'( T, U ) ) ]
% 0.87/1.31 ,
% 0.87/1.31 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( 'c_in'(
% 0.87/1.31 'c_Pair'( Z, 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1'( X, T,
% 0.87/1.31 U ), U, U ), T, 'tc_prod'( U, U ) ) ) ), ~( 'c_Wellfounded_Owf'( T, U ) )
% 0.87/1.31 ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.87/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1'( X, Y, Z, T )
% 0.87/1.31 , Y, T, T ), Z, 'tc_prod'( T, T ) ) ), =( X, Y ), ~( hBOOL( 'c_in'(
% 0.87/1.31 'c_Pair'( X, Y, T, T ), 'c_Transitive__Closure_Ortrancl'( Z, T ),
% 0.87/1.31 'tc_prod'( T, T ) ) ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.87/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1'( X,
% 0.87/1.31 Y, Z, T ), Z, T, T ), 'c_Transitive__Closure_Ortrancl'( X, T ), 'tc_prod'(
% 0.87/1.31 T, T ) ) ), =( Y, Z ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, Z, T, T ),
% 0.87/1.31 'c_Transitive__Closure_Ortrancl'( X, T ), 'tc_prod'( T, T ) ) ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 0.87/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1'( Y,
% 0.87/1.31 X, Z, T ), T, T ), Y, 'tc_prod'( T, T ) ) ), =( X, Z ), ~( hBOOL( 'c_in'(
% 0.87/1.31 'c_Pair'( X, Z, T, T ), 'c_Transitive__Closure_Ortrancl'( Y, T ),
% 0.87/1.31 'tc_prod'( T, T ) ) ) ) ],
% 0.87/1.31 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X,
% 0.87/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2'(
% 0.87/1.31 X, Z, T, U ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'(
% 0.87/1.31 Y, Z, U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U )
% 0.87/1.31 ) ) ) ],
% 0.87/1.31 [ hBOOL( hAPP( X, Y ) ), hBOOL( 'c_in'( 'c_Pair'(
% 0.87/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2'(
% 0.87/1.31 X, Z, T, U ), Z, U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ),
% 0.87/1.31 'tc_prod'( U, U ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'(
% 0.87/1.31 'c_Pair'( Y, Z, U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ),
% 0.87/1.31 'tc_prod'( U, U ) ) ) ) ],
% 0.87/1.31 [ hBOOL( hAPP( X, Y ) ), hBOOL( 'c_in'( 'c_Pair'( Z,
% 0.87/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1'( X, Z,
% 0.87/1.31 T, U ), U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U
% 0.87/1.31 ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Z, Y, U,
% 0.87/1.31 U ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) ) ) ]
% 0.87/1.31 ,
% 0.87/1.31 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.87/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2'( X, Z,
% 0.87/1.31 T, U ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Z,
% 0.87/1.31 Y, U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) )
% 0.87/1.31 ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.87/1.31 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), hBOOL(
% 0.87/1.31 'c_in'( 'c_Pair'( Y, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z )
% 0.87/1.31 , 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, X, Z, Z ),
% 0.87/1.31 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.87/1.31 hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'(
% 0.87/1.31 T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~( 'c_Relation_Osingle__valued'( T, Z, Z
% 0.87/1.31 ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 0.87/1.31 'v_sko__Transitive__Closure__Xrtrancl__Xcases__1'( X, Y, Z ), 't_a',
% 0.87/1.31 't_a' ), 'c_Transitive__Closure_Ortrancl'( Z, 't_a' ), 'tc_prod'( 't_a',
% 0.87/1.31 't_a' ) ) ), =( Y, X ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' )
% 0.87/1.31 , 'c_Transitive__Closure_Ortrancl'( Z, 't_a' ), 'tc_prod'( 't_a', 't_a' )
% 0.87/1.31 ) ) ) ],
% 0.87/1.31 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X,
% 0.87/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1'( X, Z,
% 0.87/1.31 T, U ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Z, Y
% 0.87/1.31 , U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) )
% 0.87/1.31 ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.87/1.31 'v_sko__Transitive__Closure__Xrtrancl__Xcases__1'( X, Y, Z ), Y, 't_a',
% 0.87/1.31 't_a' ), Z, 'tc_prod'( 't_a', 't_a' ) ) ), =( Y, X ), ~( hBOOL( 'c_in'(
% 0.87/1.31 'c_Pair'( X, Y, 't_a', 't_a' ), 'c_Transitive__Closure_Ortrancl'( Z,
% 0.87/1.31 't_a' ), 'tc_prod'( 't_a', 't_a' ) ) ) ) ],
% 0.87/1.31 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.87/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1'(
% 0.87/1.31 X, Z, T, U ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'(
% 0.87/1.31 'c_Pair'( Y, Z, U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ),
% 0.87/1.31 'tc_prod'( U, U ) ) ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 0.87/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1'( X, Y, Z, T )
% 0.87/1.31 , T, T ), 'c_Transitive__Closure_Ortrancl'( Z, T ), 'tc_prod'( T, T ) ) )
% 0.87/1.31 , =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, T, T ),
% 0.87/1.31 'c_Transitive__Closure_Ortrancl'( Z, T ), 'tc_prod'( T, T ) ) ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_ATP__Linkup_Osko__Product__Type__XSigmaE__1__1'( X,
% 0.87/1.31 Y, Z, T, U ), X, T ) ), ~( hBOOL( 'c_in'( Z, 'c_Product__Type_OSigma'( X
% 0.87/1.31 , Y, T, U ), 'tc_prod'( T, U ) ) ) ) ],
% 0.87/1.31 [ 'c_Wellfounded_OwfP'( 'c_FunDef_Oin__rel'( X, Y, Y ), Y ), ~(
% 0.87/1.31 'c_Wellfounded_Owf'( X, Y ) ) ],
% 0.87/1.31 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.87/1.31 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.87/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.87/1.31 ), ~( hBOOL( 'c_in'( T, 'c_Relation_OField'( X, Z ), Z ) ) ), ~( hBOOL(
% 0.87/1.31 'c_in'( Y, 'c_Relation_OField'( X, Z ), Z ) ) ), ~( 'c_Relation_Oantisym'(
% 0.87/1.31 X, Z ) ), ~( 'c_Relation_Orefl__on'( 'c_Relation_OField'( X, Z ), X, Z )
% 0.87/1.31 ), =( Y, T ) ],
% 0.87/1.31 [ 'c_Relation_Oirrefl'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.87/1.31 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ]
% 0.87/1.31 ,
% 0.87/1.31 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.87/1.31 'c_Relation_Oconverse'( X, Y, Y ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.87/1.31 ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ),
% 0.87/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' )
% 0.87/1.31 ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Z, Z, Y, Y ),
% 0.87/1.31 'c_Transitive__Closure_Otrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ) ) ],
% 0.87/1.31 [ 'c_lessequals'( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.87/1.31 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.87/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.87/1.31 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X,
% 0.87/1.31 'tc_prod'( Z, Z ) ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ]
% 0.87/1.31 ,
% 0.87/1.31 [ hBOOL( 'c_in'( X, Y, Z ) ), =( X, T ), ~( 'c_lessequals'( U,
% 0.87/1.31 'c_Product__Type_OSigma'( Y, 'c_COMBK'( Y, 'tc_fun'( Z, 'tc_bool' ), Z )
% 0.87/1.31 , Z, Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) ), ~( hBOOL( 'c_in'(
% 0.87/1.31 'c_Pair'( X, T, Z, Z ), 'c_Transitive__Closure_Ortrancl'( U, Z ),
% 0.87/1.31 'tc_prod'( Z, Z ) ) ) ) ],
% 0.87/1.31 [ =( 'c_Equiv__Relations_Oquotient'( 'c_Set_Oinsert'( X,
% 0.87/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z, Y ),
% 0.87/1.31 'c_Equiv__Relations_Oquotient'( 'c_Set_Oinsert'( T,
% 0.87/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z, Y ) )
% 0.87/1.31 , ~( hBOOL( 'c_in'( 'c_Pair'( X, T, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ) ),
% 0.87/1.31 ~( hBOOL( 'c_in'( T, U, Y ) ) ), ~( hBOOL( 'c_in'( X, U, Y ) ) ), ~(
% 0.87/1.31 'c_Equiv__Relations_Oequiv'( U, Z, Y ) ) ],
% 0.87/1.31 [ ~( =( 'c_Equiv__Relations_Oquotient'( 'c_Set_Oinsert'( X,
% 0.87/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z, Y ),
% 0.87/1.31 'c_Equiv__Relations_Oquotient'( 'c_Set_Oinsert'( T,
% 0.87/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z, Y ) )
% 0.87/1.31 ), ~( hBOOL( 'c_in'( T, U, Y ) ) ), ~( hBOOL( 'c_in'( X, U, Y ) ) ), ~(
% 0.87/1.31 'c_Equiv__Relations_Oequiv'( U, Z, Y ) ), hBOOL( 'c_in'( 'c_Pair'( X, T,
% 0.87/1.31 Y, Y ), Z, 'tc_prod'( Y, Y ) ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, Z ), Z ) ), hBOOL(
% 0.87/1.31 'c_in'( 'c_Pair'( X, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( Y, Z )
% 0.87/1.31 , 'tc_prod'( Z, Z ) ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~( hBOOL(
% 0.87/1.31 'c_in'( 'c_Pair'( X, T, Z, Z ), 'c_Transitive__Closure_Ortrancl'( Y, Z )
% 0.87/1.31 , 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( T, 'c_Wellfounded_Oacc'( Y,
% 0.87/1.31 Z ), Z ) ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~( hBOOL(
% 0.87/1.31 'c_in'( T, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ) ), ~( hBOOL( 'c_in'(
% 0.87/1.31 'c_Pair'( X, T, Z, Z ), 'c_Transitive__Closure_Ortrancl'( Y, Z ),
% 0.87/1.31 'tc_prod'( Z, Z ) ) ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( X, 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'(
% 0.87/1.31 Z, Z ) ) ), ~( hBOOL( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( X, 'c_Transitive__Closure_Otrancl'( Y, Z ), 'tc_prod'(
% 0.87/1.31 Z, Z ) ) ), ~( hBOOL( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.87/1.31 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.87/1.31 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.87/1.31 hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.87/1.31 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.87/1.31 T, 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ),
% 0.87/1.31 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.87/1.31 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL(
% 0.87/1.31 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ),
% 0.87/1.31 'tc_prod'( Z, Z ) ) ) ), =( X, Y ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.87/1.31 T, Z ), 'tc_prod'( Z, Z ) ) ), =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( X,
% 0.87/1.31 Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) )
% 0.87/1.31 ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.87/1.31 T, Z ), 'tc_prod'( Z, Z ) ) ), =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( X,
% 0.87/1.31 Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) )
% 0.87/1.31 ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.87/1.31 'c_Transitive__Closure_Ortrancl'( 'c_Relation_Oconverse'( T, Z, Z ), Z )
% 0.87/1.31 , 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.87/1.31 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.87/1.31 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL(
% 0.87/1.31 'c_in'( 'c_Pair'( Y, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'(
% 0.87/1.31 'c_Relation_Oconverse'( T, Z, Z ), Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.87/1.31 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL(
% 0.87/1.31 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ),
% 0.87/1.31 'tc_prod'( Z, Z ) ) ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.87/1.31 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.87/1.31 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.87/1.31 hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Otrancl'( T
% 0.87/1.31 , Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.87/1.31 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.87/1.31 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.87/1.31 hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Ortrancl'(
% 0.87/1.31 T, Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_Oconverse'(
% 0.87/1.31 'c_Transitive__Closure_Otrancl'( T, Z ), Z, Z ), 'tc_prod'( Z, Z ) ) ),
% 0.87/1.31 ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.87/1.31 'c_Relation_Oconverse'( T, Z, Z ), Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.87/1.31 'c_Relation_Oconverse'( T, Z, Z ), Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL(
% 0.87/1.31 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_Oconverse'(
% 0.87/1.31 'c_Transitive__Closure_Otrancl'( T, Z ), Z, Z ), 'tc_prod'( Z, Z ) ) ) )
% 0.87/1.31 ],
% 0.87/1.31 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.87/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.87/1.31 ,
% 0.87/1.31 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.87/1.31 'tc_bool' ) ), Y ) ) ) ],
% 0.87/1.31 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.87/1.31 'tc_bool' ) ), Y ) ) ) ],
% 0.87/1.31 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y,
% 0.87/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.87/1.31 ,
% 0.87/1.31 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.87/1.31 'tc_bool' ) ), Y ) ) ) ],
% 0.87/1.31 [ 'c_List_Odistinct'( X, Y ), ~( 'c_List_Odistinct'(
% 0.87/1.31 'c_List_Olist_OCons'( Z, X, Y ), Y ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~(
% 0.87/1.31 'c_Wellfounded_Owf'( Y, Z ) ) ],
% 0.87/1.31 [ 'c_Relation_Osym'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ), ~(
% 0.87/1.31 'c_Relation_Osym'( X, Y ) ) ],
% 0.87/1.31 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), X ), ~(
% 0.87/1.31 'c_Relation_Otrans'( X, Y ) ) ],
% 0.87/1.31 [ ~( =( X, 'c_List_Olist_OCons'( Y, X, Z ) ) ) ],
% 0.87/1.31 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), Y ) ) ],
% 0.87/1.31 [ 'c_Relation_Osym'( X, Y ), ~( 'c_Relation_Osym'(
% 0.87/1.31 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.87/1.31 [ 'c_Relation_Osym'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 0.87/1.31 'c_Relation_Osym'( X, Y ) ) ],
% 0.87/1.31 [ =( 'c_Relation_ODomain'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 0.87/1.31 ), 'c_Relation_ODomain'( X, Y, Y ) ) ],
% 0.87/1.31 [ 'c_Relation_Osym'( 'c_Relation_OId'( X ), X ) ],
% 0.87/1.31 [ 'c_Relation_Otrans'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.87/1.31 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ) ]
% 0.87/1.31 ,
% 0.87/1.31 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_ONil'( Z ) ) ) ]
% 0.87/1.31 ,
% 0.87/1.31 [ =( 'c_Relation_Orel__comp'( 'c_Relation_OId'( X ), Y, X, X, Z ), Y ) ]
% 0.87/1.31 ,
% 0.87/1.31 [ =( 'c_Relation_Orel__comp'( X, 'c_Relation_OId'( Y ), Z, Y, Y ), X ) ]
% 0.87/1.31 ,
% 0.87/1.31 [ 'c_Relation_Oantisym'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.87/1.31 [ 'c_Wellfounded_Owf'( 'c_Relation_Oconverse'(
% 0.87/1.31 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y ), Y ), ~(
% 0.87/1.31 'c_Wellfounded_Owf'( 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.87/1.31 [ 'c_Relation_Orefl__on'( X, Y, Z ), ~( 'c_Relation_Orefl__on'( X,
% 0.87/1.31 'c_Relation_Oconverse'( Y, Z, Z ), Z ) ) ],
% 0.87/1.31 [ 'c_Relation_Orefl__on'( X, 'c_Relation_Oconverse'( Y, Z, Z ), Z ), ~(
% 0.87/1.31 'c_Relation_Orefl__on'( X, Y, Z ) ) ],
% 0.87/1.31 [ 'c_Relation_Osym'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ), ~(
% 0.87/1.31 'c_Relation_Osym'( X, Y ) ) ],
% 0.87/1.31 [ 'c_Wellfounded_Owf'( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), Y ),
% 0.87/1.31 ~( 'c_Wellfounded_Owf'( X, Y ) ) ],
% 0.87/1.31 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_Wellfounded_Owf'(
% 0.87/1.31 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), Y ) ) ],
% 0.87/1.31 [ =( 'c_Relation_OImage'( 'c_Relation_OId'( X ), Y, X, X ), Y ) ],
% 0.87/1.31 [ =( 'c_Relation_ODomain'( 'c_Relation_OId__on'( X, Y ), Y, Y ), X ) ]
% 0.87/1.31 ,
% 0.87/1.31 [ =( 'c_Relation_Oconverse'( X, Y, Y ), X ), ~( 'c_Relation_Osym'( X, Y
% 0.87/1.31 ) ) ],
% 0.87/1.31 [ ~( =( 'c_Relation_Oconverse'( X, Y, Y ), X ) ), 'c_Relation_Osym'( X,
% 0.87/1.31 Y ) ],
% 0.87/1.31 [ =( 'c_Relation_ORange'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 0.87/1.31 ), 'c_Relation_ORange'( X, Y, Y ) ) ],
% 0.87/1.31 [ 'c_Relation_Otrans'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ) ]
% 0.87/1.31 ,
% 0.87/1.31 [ =( 'c_Relation_Oconverse'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ), Z
% 0.87/1.31 , U ), 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( Y, T, U ),
% 0.87/1.31 'c_Relation_Oconverse'( X, Z, T ), U, T, Z ) ) ],
% 0.87/1.31 [ 'c_Relation_Osym'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.87/1.31 [ 'c_Relation_Orefl__on'( X, 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.87/1.31 [ 'c_Wellfounded_Owf'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~(
% 0.87/1.31 'c_Wellfounded_Owf'( X, Z ) ) ],
% 0.87/1.31 [ =( 'c_Relation_Orel__comp'( X, 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.87/1.31 ), Y, Y, Y ), 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'(
% 0.87/1.31 X, Y ), X, Y, Y, Y ) ) ],
% 0.87/1.31 [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP(
% 0.87/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 0.87/1.31 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.87/1.31 [ 'c_Relation_Osym'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~(
% 0.87/1.31 'c_Relation_Osym'( X, Z ) ) ],
% 0.87/1.31 [ =( 'c_Transitive__Closure_Otrancl'( 'c_Transitive__Closure_Ortrancl'(
% 0.87/1.31 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.87/1.31 [ 'c_Relation_Otrans'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ) ]
% 0.87/1.31 ,
% 0.87/1.31 [ 'c_Relation_Otrans'( X, Y ), ~( 'c_Relation_Otrans'(
% 0.87/1.31 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.87/1.31 [ 'c_Relation_Otrans'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 0.87/1.31 'c_Relation_Otrans'( X, Y ) ) ],
% 0.87/1.31 [ =( 'c_Relation_Oconverse'( 'c_Relation_OId'( X ), X, X ),
% 0.87/1.31 'c_Relation_OId'( X ) ) ],
% 0.87/1.31 [ 'c_Wellfounded_Owf'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ), ~(
% 0.87/1.31 'c_Wellfounded_Owf'( X, Y ) ) ],
% 0.87/1.31 [ =( 'c_Relation_OImage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.87/1.31 , 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.87/1.31 'tc_bool' ) ) ) ],
% 0.87/1.31 [ =( 'c_Relation_Orel__comp'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 0.87/1.31 W, Z, U, V0 ), 'c_Relation_Orel__comp'( X, 'c_Relation_Orel__comp'( Y, W
% 0.87/1.31 , T, U, V0 ), Z, T, V0 ) ) ],
% 0.87/1.31 [ =( 'c_Relation_Oconverse'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T,
% 0.87/1.31 T ), 'c_Relation_Oinv__image'( 'c_Relation_Oconverse'( X, Z, Z ), Y, Z, T
% 0.87/1.31 ) ) ],
% 0.87/1.31 [ =( 'c_Transitive__Closure_Otrancl'( 'c_Relation_Oconverse'( X, Y, Y )
% 0.87/1.31 , Y ), 'c_Relation_Oconverse'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y
% 0.87/1.31 , Y ) ) ],
% 0.87/1.31 [ 'c_Relation_Otrans'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~(
% 0.87/1.31 'c_Relation_Otrans'( X, Z ) ) ],
% 0.87/1.31 [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 0.87/1.31 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.87/1.31 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ],
% 0.87/1.31 [ =( 'c_Relation_Oconverse'( 'c_Relation_OId__on'( X, Y ), Y, Y ),
% 0.87/1.31 'c_Relation_OId__on'( X, Y ) ) ],
% 0.87/1.31 [ ~( =( 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X, Y, Y ), X, Y
% 0.87/1.31 , Y, Y ), X ) ), 'c_Equiv__Relations_Oequiv'( 'c_Relation_ODomain'( X, Y
% 0.87/1.31 , Y ), X, Y ) ],
% 0.87/1.31 [ 'c_Relation_Oantisym'( 'c_Relation_OId'( X ), X ) ],
% 0.87/1.31 [ 'c_Wellfounded_Owf'( 'c_Wellfounded_Omlex__prod'( X, Y, Z ), Z ), ~(
% 0.87/1.31 'c_Wellfounded_Owf'( Y, Z ) ) ],
% 0.87/1.31 [ =( 'c_Relation_ORange'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 0.87/1.31 'c_Relation_ODomain'( X, Y, Z ) ) ],
% 0.87/1.31 [ =( 'c_Relation_ORange'( 'c_Relation_OId__on'( X, Y ), Y, Y ), X ) ]
% 0.87/1.31 ,
% 0.87/1.31 [ =( 'c_Relation_Oconverse'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 0.87/1.31 X ) ],
% 0.87/1.31 [ 'c_Relation_Otrans'( 'c_Relation_OId'( X ), X ) ],
% 0.87/1.31 [ =( 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X, Y, Y ), X, Y, Y
% 0.87/1.31 , Y ), X ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y ) ) ],
% 0.87/1.31 [ =( 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.87/1.31 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ),
% 0.87/1.31 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.87/1.31 [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'(
% 0.87/1.31 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.87/1.31 [ 'c_Relation_Oantisym'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 0.87/1.31 'c_Relation_Oantisym'( X, Y ) ) ],
% 0.87/1.31 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.31 ) ), Y ) ) ) ],
% 0.87/1.31 [ 'c_Relation_Orefl__on'( X, Y, Z ), ~( 'c_Equiv__Relations_Oequiv'( X,
% 0.87/1.31 Y, Z ) ) ],
% 0.87/1.31 [ ~( =( 'c_List_Olist_ONil'( X ), 'c_List_Olist_OCons'( Y, Z, X ) ) ) ]
% 0.87/1.31 ,
% 0.87/1.31 [ 'c_List_Odistinct'( 'c_List_Olist_ONil'( X ), X ) ],
% 0.87/1.31 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Relation_Oconverse'( X, Y, Y )
% 0.87/1.31 , Y ), 'c_Relation_Oconverse'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.87/1.31 Y, Y ) ) ],
% 0.87/1.31 [ 'c_Relation_Ototal__on'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.87/1.31 'tc_bool' ) ), Y, X ) ],
% 0.87/1.31 [ 'c_Relation_Osym'( X, Y ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y ) )
% 0.87/1.31 ],
% 0.87/1.31 [ =( 'c_Relation_ODomain'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 0.87/1.31 'c_Relation_ORange'( X, Y, Z ) ) ],
% 0.87/1.31 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.87/1.31 ) ), =( X, T ) ],
% 0.87/1.31 [ ~( =( 'c_List_Olist_OCons'( X, Y, Z ), 'c_List_Olist_OCons'( T, U, Z )
% 0.87/1.31 ) ), =( Y, U ) ],
% 0.87/1.31 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_Orel__comp'(
% 0.87/1.31 'c_Transitive__Closure_Ortrancl'( X, Y ), X, Y, Y, Y ) ) ],
% 0.87/1.31 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_Orel__comp'( X
% 0.87/1.31 , 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ) ) ],
% 0.87/1.31 [ =( 'c_Relation_ORange'( X, Y, Z ), 'c_Relation_ODomain'(
% 0.87/1.31 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ) ) ],
% 0.87/1.31 [ 'c_Relation_Ototal__on'( X, Y, Z ), ~( 'c_Relation_Ototal__on'( X,
% 0.87/1.31 'c_Relation_Oconverse'( Y, Z, Z ), Z ) ) ],
% 0.87/1.31 [ 'c_Relation_Ototal__on'( X, 'c_Relation_Oconverse'( Y, Z, Z ), Z ),
% 0.87/1.31 ~( 'c_Relation_Ototal__on'( X, Y, Z ) ) ],
% 0.87/1.31 [ 'c_Relation_Otrans'( X, Y ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y )
% 0.87/1.31 ) ],
% 0.87/1.31 [ 'c_Wellfounded_Owf'( 'c_Wellfounded_Omeasure'( X, Y ), Y ) ],
% 0.87/1.31 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Transitive__Closure_Otrancl'(
% 0.87/1.31 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.87/1.31 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Transitive__Closure_Ortrancl'(
% 0.87/1.31 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.87/1.31 [ =( hAPP( 'c_Recdef_Ocut'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), ~(
% 0.87/1.31 hBOOL( 'c_in'( 'c_Pair'( W, Z, T, T ), Y, 'tc_prod'( T, T ) ) ) ) ],
% 0.87/1.31 [ =( hAPP( 'c_Recdef_Ocut'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), ~(
% 0.87/1.31 hBOOL( 'c_in'( 'c_Pair'( W, Z, T, T ), Y, 'tc_prod'( T, T ) ) ) ) ],
% 0.87/1.31 [ hBOOL( hAPP( hAPP( 'c_FunDef_Oin__rel'( X, Y, Z ), T ), U ) ), ~(
% 0.87/1.31 hBOOL( 'c_in'( 'c_Pair'( T, U, Y, Z ), X, 'tc_prod'( Y, Z ) ) ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), ~(
% 0.87/1.31 hBOOL( hAPP( hAPP( 'c_FunDef_Oin__rel'( U, Z, T ), X ), Y ) ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 0.87/1.31 hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.87/1.31 hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.87/1.31 'c_Relation_Otrans'( T, Z ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 0.87/1.31 hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.87/1.31 hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.87/1.31 'c_Relation_Otrans'( T, Z ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Oconverse'( U, T, Z
% 0.87/1.31 ), 'tc_prod'( Z, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, X, T, Z ), U,
% 0.87/1.31 'tc_prod'( T, Z ) ) ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Oconverse'( U, T, Z
% 0.87/1.31 ), 'tc_prod'( Z, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, X, T, Z ), U,
% 0.87/1.31 'tc_prod'( T, Z ) ) ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), ~(
% 0.87/1.31 hBOOL( 'c_in'( 'c_Pair'( Y, X, T, Z ), 'c_Relation_Oconverse'( U, Z, T )
% 0.87/1.31 , 'tc_prod'( T, Z ) ) ) ) ],
% 0.87/1.31 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ) ),
% 0.87/1.31 ~( 'c_Relation_Oirrefl'( Z, Y ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.87/1.31 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.87/1.31 T, 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ),
% 0.87/1.31 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.87/1.31 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.87/1.31 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.87/1.31 hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.87/1.31 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL(
% 0.87/1.31 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL(
% 0.87/1.31 'c_in'( 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z )
% 0.87/1.31 , 'tc_prod'( Z, Z ) ) ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.87/1.31 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL(
% 0.87/1.31 'c_in'( 'c_Pair'( U, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z )
% 0.87/1.31 , 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), T,
% 0.87/1.31 'tc_prod'( Z, Z ) ) ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.87/1.31 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.87/1.31 T, 'tc_prod'( Z, Z ) ) ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.87/1.31 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL(
% 0.87/1.31 'c_in'( 'c_Pair'( U, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z )
% 0.87/1.31 , 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ),
% 0.87/1.31 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ),
% 0.87/1.31 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_prod'( Y, Y ) ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ),
% 0.87/1.31 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_prod'( Y, Y ) ) ) ],
% 0.87/1.31 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ),
% 0.87/1.31 ~( hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.87/1.31 'c_Wellfounded_Owf'( T, Z ) ) ],
% 0.87/1.31 [ =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z,
% 0.87/1.31 Z ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z )
% 0.87/1.31 ) ) ), ~( 'c_Relation_Oantisym'( T, Z ) ) ],
% 0.87/1.31 [ =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z,
% 0.87/1.31 Z ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z )
% 0.87/1.31 ) ) ), ~( 'c_Relation_Oantisym'( T, Z ) ) ],
% 0.87/1.31 [ =( hAPP( X, Y ), hAPP( X, Z ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, Z, T,
% 0.87/1.31 T ), U, 'tc_prod'( T, T ) ) ) ), ~( 'c_Equiv__Relations_Ocongruent'( U, X
% 0.87/1.31 , T, W ) ) ],
% 0.87/1.31 [ =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.87/1.31 'c_Relation_OId__on'( T, Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.87/1.31 [ ~( =( 'c_Recdef_Ocut'( X, Y, Z, T, U ), 'c_Recdef_Ocut'( W, Y, Z, T, U
% 0.87/1.31 ) ) ), =( hAPP( X, V0 ), hAPP( W, V0 ) ), ~( hBOOL( 'c_in'( 'c_Pair'( V0
% 0.87/1.31 , Z, T, T ), Y, 'tc_prod'( T, T ) ) ) ) ],
% 0.87/1.31 [ =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId'(
% 0.87/1.31 Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ), ~(
% 0.87/1.31 'c_Nitpick_Orefl_H'( Z, Y ) ) ],
% 0.87/1.31 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ) ),
% 0.87/1.31 ~( 'c_Wellfounded_Owf'( Z, Y ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_Oinv__image'( T, U
% 0.87/1.31 , W, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( hAPP( U, X )
% 0.87/1.31 , hAPP( U, Y ), W, W ), T, 'tc_prod'( W, W ) ) ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( hAPP( X, Y ), hAPP( X, Z ), T, T ), U,
% 0.87/1.31 'tc_prod'( T, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, Z, W, W ),
% 0.87/1.31 'c_Relation_Oinv__image'( U, X, T, W ), 'tc_prod'( W, W ) ) ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 0.87/1.31 hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.87/1.31 'c_Relation_Osym'( T, Z ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 0.87/1.31 hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.87/1.31 'c_Relation_Osym'( T, Z ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Orel__comp'( U, W,
% 0.87/1.31 Z, V0, T ), 'tc_prod'( Z, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( V1, Y, V0
% 0.87/1.31 , T ), W, 'tc_prod'( V0, T ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, V1, Z
% 0.87/1.31 , V0 ), U, 'tc_prod'( Z, V0 ) ) ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.87/1.31 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.87/1.31 T, 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), T,
% 0.87/1.31 'tc_prod'( Z, Z ) ) ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.87/1.31 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.87/1.31 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.87/1.31 hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Otrancl'( T
% 0.87/1.31 , Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId'( Y ),
% 0.87/1.31 'tc_prod'( Y, Y ) ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId'( Y ),
% 0.87/1.31 'tc_prod'( Y, Y ) ) ) ],
% 0.87/1.31 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.87/1.31 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.31 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.87/1.31 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 0.87/1.31 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.87/1.31 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.87/1.31 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~(
% 0.87/1.31 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 0.87/1.31 [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' )
% 0.87/1.31 ), 'v_x' ), 'c_in'( 'v_x', 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.87/1.31 't_a', 'tc_bool' ) ), 't_a' ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.87/1.31 'v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1'( X, Y ), 'tc_prod'(
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.87/1.31 ), =( X, Y ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Product__Type_OSigma'( U, W
% 0.87/1.31 , Z, T ), 'tc_prod'( Z, T ) ) ), ~( hBOOL( 'c_in'( Y, hAPP( W, X ), T ) )
% 0.87/1.31 ), ~( hBOOL( 'c_in'( X, U, Z ) ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Product__Type_OSigma'( U, W
% 0.87/1.31 , Z, T ), 'tc_prod'( Z, T ) ) ), ~( hBOOL( 'c_in'( Y, hAPP( W, X ), T ) )
% 0.87/1.31 ), ~( hBOOL( 'c_in'( X, U, Z ) ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~( hBOOL(
% 0.87/1.31 'c_in'( 'c_Pair'( X, T, Z, Z ), Y, 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL(
% 0.87/1.31 'c_in'( T, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~( hBOOL(
% 0.87/1.31 'c_in'( 'c_Pair'( X, T, Z, Z ), Y, 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL(
% 0.87/1.31 'c_in'( T, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ), ~( hBOOL(
% 0.87/1.31 'c_in'( 'c_Pair'( W, X, T, U ), Y, 'tc_prod'( T, U ) ) ) ), ~( hBOOL(
% 0.87/1.31 'c_in'( W, Z, T ) ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ), ~( hBOOL(
% 0.87/1.31 'c_in'( 'c_Pair'( W, X, T, U ), Y, 'tc_prod'( T, U ) ) ) ), ~( hBOOL(
% 0.87/1.31 'c_in'( W, Z, T ) ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, T, Z, Z ),
% 0.87/1.31 'c_Relation_OId__on'( Y, Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId__on'( Z, Y ),
% 0.87/1.31 'tc_prod'( Y, Y ) ) ), ~( hBOOL( 'c_in'( X, Z, Y ) ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( 'c_Pair'( T, X, Z, Z ),
% 0.87/1.31 U, 'tc_prod'( Z, Z ) ) ) ), ~( 'c_Equiv__Relations_Oequiv'( Y, U, Z ) ) ]
% 0.87/1.31 ,
% 0.87/1.31 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, T, Z, Z ),
% 0.87/1.31 U, 'tc_prod'( Z, Z ) ) ) ), ~( 'c_Equiv__Relations_Oequiv'( Y, U, Z ) ) ]
% 0.87/1.31 ,
% 0.87/1.31 [ hBOOL( 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ) ), ~( hBOOL(
% 0.87/1.31 'c_in'( 'c_Pair'( U, X, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ) ), ~( hBOOL(
% 0.87/1.31 'c_in'( 'c_Pair'( U, X, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ) ), ~( hBOOL(
% 0.87/1.31 'c_in'( 'c_Pair'( X, U, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ) ), ~( hBOOL(
% 0.87/1.31 'c_in'( 'c_Pair'( X, U, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( X, hAPP( Y, Z ), T ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Z,
% 0.87/1.31 X, U, T ), 'c_Product__Type_OSigma'( W, Y, U, T ), 'tc_prod'( U, T ) ) )
% 0.87/1.31 ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, T, Z, U ),
% 0.87/1.31 'c_Product__Type_OSigma'( Y, W, Z, U ), 'tc_prod'( Z, U ) ) ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), hBOOL(
% 0.87/1.31 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), =( Y, X ), ~(
% 0.87/1.31 hBOOL( 'c_in'( X, U, Z ) ) ), ~( hBOOL( 'c_in'( Y, U, Z ) ) ), ~(
% 0.87/1.31 'c_Relation_Ototal__on'( U, T, Z ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ), ~(
% 0.87/1.31 hBOOL( 'c_in'( X, T, Y ) ) ), ~( 'c_Relation_Orefl__on'( T, Z, Y ) ) ]
% 0.87/1.31 ,
% 0.87/1.31 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( 'c_Pair'( T, X, Z, Z ),
% 0.87/1.31 U, 'tc_prod'( Z, Z ) ) ) ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, T, Z, Z ),
% 0.87/1.31 U, 'tc_prod'( Z, Z ) ) ) ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ), ~(
% 0.87/1.31 hBOOL( 'c_in'( X, T, Y ) ) ), ~( 'c_Relation_Orefl__on'( T, Z, Y ) ) ]
% 0.87/1.31 ,
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Wellfounded_Omlex__prod'( T
% 0.87/1.31 , U, Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( T, X
% 0.87/1.31 ), hAPP( T, Y ), 'tc_nat' ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Wellfounded_Omeasure'( T, Z
% 0.87/1.31 ), 'tc_prod'( Z, Z ) ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( T, X ),
% 0.87/1.31 hAPP( T, Y ), 'tc_nat' ) ) ],
% 0.87/1.31 [ 'c_HOL_Oord__class_Oless'( hAPP( X, Y ), hAPP( X, Z ), 'tc_nat' ), ~(
% 0.87/1.31 hBOOL( 'c_in'( 'c_Pair'( Y, Z, T, T ), 'c_Wellfounded_Omeasure'( X, T ),
% 0.87/1.31 'tc_prod'( T, T ) ) ) ) ],
% 0.87/1.31 [ 'c_List_Odistinct'( 'c_List_Olist_OCons'( 'v_c____',
% 0.87/1.31 'c_List_Olist_OCons'( 'v_d____', 'c_List_Olist_OCons'( 'v_e____',
% 0.87/1.31 'c_List_Olist_ONil'( 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt' )
% 0.87/1.31 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.87/1.31 ) ],
% 0.87/1.31 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.87/1.31 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.87/1.31 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.87/1.31 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.87/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.87/1.31 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.87/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.87/1.31 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.87/1.31 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y
% 0.87/1.31 , 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' )
% 0.87/1.31 , Z, 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), =( X, Y ), =( X, T ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.87/1.31 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y
% 0.87/1.31 , 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' )
% 0.87/1.31 , Z, 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), =( Y, T ), =( X, T ) ],
% 0.87/1.31 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( Y, W ) ]
% 0.87/1.31 ,
% 0.87/1.31 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( X, U ) ]
% 0.87/1.31 ,
% 0.87/1.31 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.87/1.31 Y, X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ) ],
% 0.87/1.31 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.87/1.31 Z, X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ) ],
% 0.87/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.87/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.87/1.31 ) ],
% 0.87/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.87/1.31 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.87/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.87/1.31 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.87/1.31 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.87/1.31 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.87/1.31 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_HOL_Oord__class_Oless'( Y, Z,
% 0.87/1.31 'tc_nat' ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ],
% 0.87/1.31 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.87/1.31 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.87/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.87/1.31 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.87/1.31 ) ],
% 0.87/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.87/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.87/1.31 ), =( Z, Y ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.87/1.31 ), =( Y, T ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y,
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.87/1.31 'c_Arrow__Order__Mirabelle_Omktop'( Z, T ), 'tc_prod'(
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.87/1.31 ) ) ],
% 0.87/1.31 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.87/1.31 , Y, X ) ) ],
% 0.87/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.87/1.31 , Y, X ) ) ],
% 0.87/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.87/1.31 , X ) ) ],
% 0.87/1.31 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.87/1.31 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.87/1.31 [ =( X, Y ), =( Y, X ), hBOOL( 'c_in'( 'c_Pair'( X, Y,
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.87/1.31 'c_Arrow__Order__Mirabelle_Omkbot'( Z, X ), 'tc_prod'(
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.87/1.31 ) ],
% 0.87/1.31 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.87/1.31 Y, X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ) ],
% 0.87/1.31 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.87/1.31 Z, Y ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ) ],
% 0.87/1.31 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.87/1.31 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.87/1.31 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.87/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.87/1.31 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.87/1.31 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.87/1.31 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y
% 0.87/1.31 , 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' )
% 0.87/1.31 , Z, 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), =( X, Y ), =( Y, T ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.87/1.31 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y
% 0.87/1.31 , 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' )
% 0.87/1.31 , Z, 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), =( X, T ), =( Y, T ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 0.87/1.31 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ) ],
% 0.87/1.31 [ =( X, Y ), =( X, Y ), hBOOL( 'c_in'( 'c_Pair'( X, Y,
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.87/1.31 'c_Arrow__Order__Mirabelle_Omktop'( Z, Y ), 'tc_prod'(
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.87/1.31 ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.87/1.31 ), =( X, T ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y,
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.87/1.31 'c_Arrow__Order__Mirabelle_Omkbot'( Z, T ), 'tc_prod'(
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.87/1.31 ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'v_P____', 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.87/1.31 'tc_bool' ) ) ) ) ],
% 0.87/1.31 [ 'c_List_Odistinct'( 'c_List_Olist_OCons'( 'v_c____',
% 0.87/1.31 'c_List_Olist_OCons'( 'v_d____', 'c_List_Olist_OCons'( 'v_e____',
% 0.87/1.31 'c_List_Olist_ONil'( 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt' )
% 0.87/1.31 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.87/1.31 ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( 'v_c____', 'v_d____',
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.87/1.31 'c_Arrow__Order__Mirabelle_Omktop'( hAPP( 'v_P____', 'v_x' ), 'v_e____' )
% 0.87/1.31 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.31 'v_h____'( 'v_x' ), 'v_n____', 'tc_nat' ) ), hBOOL( 'c_in'( 'c_Pair'(
% 0.87/1.31 'v_c____', 'v_d____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_P____', 'v_x' ), 'tc_prod'(
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.87/1.31 ) ],
% 0.87/1.31 [ ~( 'c_HOL_Oord__class_Oless'( 'v_h____'( 'v_x' ), 'v_n____', 'tc_nat'
% 0.87/1.31 ) ), ~( hBOOL( 'c_in'( 'c_Pair'( 'v_c____', 'v_d____',
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.87/1.31 'c_Arrow__Order__Mirabelle_Omktop'( hAPP( 'v_P____', 'v_x' ), 'v_e____' )
% 0.87/1.31 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'(
% 0.87/1.31 'v_c____', 'v_d____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_P____', 'v_x' ), 'tc_prod'(
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.87/1.31 ) ) ],
% 0.87/1.31 [ ~( =( 'v_h____'( 'v_x' ), 'v_n____' ) ), 'c_HOL_Oord__class_Oless'(
% 0.87/1.31 'v_h____'( 'v_x' ), 'v_n____', 'tc_nat' ), hBOOL( 'c_in'( 'c_Pair'(
% 0.87/1.31 'v_c____', 'v_d____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_P____', 'v_x' ), 'tc_prod'(
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.87/1.31 ), hBOOL( 'c_in'( 'c_Pair'( 'v_c____', 'v_d____',
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.87/1.31 'c_Arrow__Order__Mirabelle_Oabove'( hAPP( 'v_P____', 'v_x' ), 'v_c____',
% 0.87/1.31 'v_e____' ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.87/1.31 [ hBOOL( 'c_in'( 'c_Pair'( 'v_c____', 'v_d____',
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.87/1.31 'c_Arrow__Order__Mirabelle_Omkbot'( hAPP( 'v_P____', 'v_x' ), 'v_e____' )
% 0.87/1.31 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( 'v_h____'( 'v_x' ), 'v_n____'
% 0.87/1.31 ), 'c_HOL_Oord__class_Oless'( 'v_h____'( 'v_x' ), 'v_n____', 'tc_nat' )
% 0.87/1.31 , hBOOL( 'c_in'( 'c_Pair'( 'v_c____', 'v_d____',
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.87/1.31 hAPP( 'v_P____', 'v_x' ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.87/1.31 [ ~( hBOOL( 'c_in'( 'c_Pair'( 'v_c____', 'v_d____',
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.87/1.31 'c_Arrow__Order__Mirabelle_Omkbot'( hAPP( 'v_P____', 'v_x' ), 'v_e____' )
% 0.87/1.31 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), =( 'v_h____'( 'v_x' ),
% 0.87/1.31 'v_n____' ), 'c_HOL_Oord__class_Oless'( 'v_h____'( 'v_x' ), 'v_n____',
% 0.87/1.31 'tc_nat' ), ~( hBOOL( 'c_in'( 'c_Pair'( 'v_c____', 'v_d____',
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.87/1.31 hAPP( 'v_P____', 'v_x' ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ) ],
% 0.87/1.31 [ ~( =( 'v_h____'( 'v_x' ), 'v_n____' ) ), ~( hBOOL( 'c_in'( 'c_Pair'(
% 0.87/1.31 'v_c____', 'v_d____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 0.87/1.31 hAPP( 'v_P____', 'v_x' ), 'v_c____', 'v_e____' ), 'tc_prod'(
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.87/1.31 ) ), 'c_HOL_Oord__class_Oless'( 'v_h____'( 'v_x' ), 'v_n____', 'tc_nat'
% 0.87/1.31 ), ~( hBOOL( 'c_in'( 'c_Pair'( 'v_c____', 'v_d____',
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.87/1.31 hAPP( 'v_P____', 'v_x' ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ) ],
% 0.87/1.31 [ ~( hBOOL( 'c_in'( 'c_Pair'( 'v_c____', 'v_d____',
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.87/1.31 'c_Arrow__Order__Mirabelle_Omkbot'( hAPP( 'v_P____', 'v_x' ), 'v_e____' )
% 0.87/1.31 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'(
% 0.87/1.31 'v_c____', 'v_d____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 0.87/1.31 hAPP( 'v_P____', 'v_x' ), 'v_c____', 'v_e____' ), 'tc_prod'(
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.87/1.31 ) ), 'c_HOL_Oord__class_Oless'( 'v_h____'( 'v_x' ), 'v_n____', 'tc_nat'
% 0.87/1.31 ), ~( hBOOL( 'c_in'( 'c_Pair'( 'v_c____', 'v_d____',
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.87/1.31 hAPP( 'v_P____', 'v_x' ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ) ],
% 0.87/1.31 [ ~( hBOOL( 'c_in'( 'c_Pair'( 'v_c____', 'v_d____',
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.87/1.31 'c_Arrow__Order__Mirabelle_Omkbot'( hAPP( 'v_P____', 'v_x' ), 'v_e____' )
% 0.87/1.31 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), =( 'v_h____'( 'v_x' ),
% 0.87/1.31 'v_n____' ), ~( hBOOL( 'c_in'( 'c_Pair'( 'v_c____', 'v_d____',
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.87/1.31 'c_Arrow__Order__Mirabelle_Omktop'( hAPP( 'v_P____', 'v_x' ), 'v_e____' )
% 0.87/1.31 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'(
% 0.87/1.31 'v_c____', 'v_d____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_P____', 'v_x' ), 'tc_prod'(
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.87/1.31 ) ) ],
% 0.87/1.31 [ ~( =( 'v_h____'( 'v_x' ), 'v_n____' ) ), ~( hBOOL( 'c_in'( 'c_Pair'(
% 0.87/1.31 'v_c____', 'v_d____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 0.87/1.31 hAPP( 'v_P____', 'v_x' ), 'v_c____', 'v_e____' ), 'tc_prod'(
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.87/1.31 ) ), ~( hBOOL( 'c_in'( 'c_Pair'( 'v_c____', 'v_d____',
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.87/1.31 'c_Arrow__Order__Mirabelle_Omktop'( hAPP( 'v_P____', 'v_x' ), 'v_e____' )
% 0.87/1.31 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'(
% 0.87/1.31 'v_c____', 'v_d____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_P____', 'v_x' ), 'tc_prod'(
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.87/1.31 ) ) ],
% 0.87/1.31 [ ~( hBOOL( 'c_in'( 'c_Pair'( 'v_c____', 'v_d____',
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.87/1.31 'c_Arrow__Order__Mirabelle_Omkbot'( hAPP( 'v_P____', 'v_x' ), 'v_e____' )
% 0.87/1.31 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'(
% 0.87/1.31 'v_c____', 'v_d____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 0.87/1.31 hAPP( 'v_P____', 'v_x' ), 'v_c____', 'v_e____' ), 'tc_prod'(
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.87/1.31 ) ), ~( hBOOL( 'c_in'( 'c_Pair'( 'v_c____', 'v_d____',
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.87/1.31 'c_Arrow__Order__Mirabelle_Omktop'( hAPP( 'v_P____', 'v_x' ), 'v_e____' )
% 0.87/1.31 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'(
% 0.87/1.31 'v_c____', 'v_d____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_P____', 'v_x' ), 'tc_prod'(
% 0.87/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.87/1.31 ) ) ],
% 0.87/1.31 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.31 'class_Lattices_Olattice'( Y ) ) ],
% 0.87/1.31 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.31 'class_Lattices_Olattice'( Y ) ) ],
% 0.87/1.31 [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.31 'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 0.87/1.31 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.31 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 0.87/1.31 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.31 'class_Orderings_Opreorder'( Y ) ) ],
% 0.87/1.31 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.31 'class_Lattices_Olattice'( Y ) ) ],
% 0.87/1.31 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.31 'class_Orderings_Oorder'( Y ) ) ],
% 0.87/1.31 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 0.87/1.31 Y ) ) ],
% 0.87/1.31 [ 'class_HOL_Ominus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ominus'( Y ) ) ]
% 0.87/1.31 ,
% 0.87/1.31 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 0.87/1.31 ,
% 0.87/1.31 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.87/1.31 [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ],
% 0.87/1.31 [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ],
% 0.87/1.31 [ 'class_Lattices_Odistrib__lattice'( 'tc_nat' ) ],
% 0.87/1.31 [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 0.87/1.31 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.87/1.31 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.87/1.31 [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 0.87/1.31 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.87/1.31 [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 0.87/1.31 [ 'class_HOL_Ominus'( 'tc_nat' ) ],
% 0.87/1.31 [ 'class_HOL_Oord'( 'tc_nat' ) ],
% 0.87/1.31 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 0.87/1.31 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 0.87/1.31 [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 0.87/1.31 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 0.87/1.31 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.87/1.31 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.87/1.31 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.87/1.31 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.87/1.31 [ 'class_HOL_Ominus'( 'tc_bool' ) ],
% 0.87/1.31 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 0.87/1.31 [ 'c_fequal'( X, X, Y ) ],
% 0.87/1.31 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 0.87/1.31 ] .
% 0.87/1.31
% 0.87/1.31
% 0.87/1.31 percentage equality = 0.217747, percentage horn = 0.872404
% 0.87/1.31 This is a problem with some equality
% 0.87/1.31
% 0.87/1.31
% 0.87/1.31
% 0.87/1.31 Options Used:
% 0.87/1.31
% 0.87/1.31 useres = 1
% 0.87/1.31 useparamod = 1
% 0.87/1.31 useeqrefl = 1
% 0.87/1.31 useeqfact = 1
% 0.87/1.31 usefactor = 1
% 0.87/1.31 usesimpsplitting = 0
% 0.87/1.31 usesimpdemod = 5
% 0.87/1.31 usesimpres = 3
% 0.87/1.31
% 0.87/1.31 resimpinuse = 1000
% 0.87/1.31 resimpclauses = 20000
% 0.87/1.31 substype = eqrewr
% 0.87/1.31 backwardsubs = 1
% 0.87/1.31 selectoldest = 5
% 0.87/1.31
% 0.87/1.31 litorderings [0] = split
% 0.87/1.31 litorderings [1] = extend the termordering, first sorting on arguments
% 0.87/1.31
% 0.87/1.31 termordering = kbo
% 0.87/1.31
% 0.87/1.31 litapriori = 0
% 0.87/1.31 termapriori = 1
% 0.87/1.31 litaposteriori = 0
% 0.87/1.31 termaposteriori = 0
% 0.87/1.31 demodaposteriori = 0
% 0.87/1.31 ordereqreflfact = 0
% 0.87/1.31
% 0.87/1.31 litselect = negord
% 0.87/1.31
% 0.87/1.31 maxweight = 15
% 0.87/1.31 maxdepth = 30000
% 0.87/1.31 maxlength = 115
% 0.87/1.31 maxnrvars = 195
% 0.87/1.31 excuselevel = 1
% 0.87/1.31 increasemaxweight = 1
% 0.87/1.31
% 0.87/1.31 maxselected = 10000000
% 0.87/1.31 maxnrclauses = 10000000
% 0.87/1.31
% 0.87/1.31 showgenerated = 0
% 0.87/1.31 showkept = 0
% 0.87/1.31 showselected = 0
% 0.87/1.31 showdeleted = 0
% 0.87/1.31 showresimp = 1
% 0.87/1.31 showstatus = 2000
% 0.87/1.31
% 0.87/1.31 prologoutput = 1
% 0.87/1.31 nrgoals = 5000000
% 0.87/1.31 totalproof = 1
% 0.87/1.31
% 0.87/1.31 Symbols occurring in the translation:
% 0.87/1.31
% 0.87/1.31 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.87/1.31 . [1, 2] (w:1, o:112, a:1, s:1, b:0),
% 0.87/1.31 ! [4, 1] (w:0, o:86, a:1, s:1, b:0),
% 0.87/1.31 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.87/1.31 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.87/1.31 'c_Set_Oinsert' [42, 3] (w:1, o:175, a:1, s:1, b:0),
% 0.87/1.31 hAPP [43, 2] (w:1, o:137, a:1, s:1, b:0),
% 0.87/1.31 hBOOL [44, 1] (w:1, o:91, a:1, s:1, b:0),
% 0.87/1.31 'c_Pair' [49, 4] (w:1, o:204, a:1, s:1, b:0),
% 0.87/1.31 'tc_prod' [51, 2] (w:1, o:138, a:1, s:1, b:0),
% 0.87/1.31 'c_Relation_ODomain' [52, 3] (w:1, o:169, a:1, s:1, b:0),
% 0.87/1.31 'tc_bool' [54, 0] (w:1, o:28, a:1, s:1, b:0),
% 0.87/1.31 'tc_fun' [55, 2] (w:1, o:139, a:1, s:1, b:0),
% 0.87/1.31 'c_Lattices_Oupper__semilattice__class_Osup' [56, 3] (w:1, o:176, a:1
% 0.87/1.31 , s:1, b:0),
% 0.87/1.31 'c_Relation_Osym' [57, 2] (w:1, o:140, a:1, s:1, b:0),
% 0.87/1.31 'c_Transitive__Closure_Ortrancl' [58, 2] (w:1, o:141, a:1, s:1, b:0)
% 0.87/1.31 ,
% 0.87/1.31 'c_lessequals' [59, 3] (w:1, o:177, a:1, s:1, b:0),
% 0.87/1.31 'c_Lattices_Olower__semilattice__class_Oinf' [61, 3] (w:1, o:178, a:1
% 0.87/1.31 , s:1, b:0),
% 0.87/1.31 'class_Lattices_Obounded__lattice' [62, 1] (w:1, o:92, a:1, s:1, b:0)
% 0.87/1.31 ,
% 0.87/1.31 'c_Orderings_Obot__class_Obot' [63, 1] (w:1, o:93, a:1, s:1, b:0),
% 0.87/1.31 'c_Relation_OImage' [65, 4] (w:1, o:205, a:1, s:1, b:0),
% 0.87/1.31 'c_HOL_Ominus__class_Ominus' [69, 3] (w:1, o:179, a:1, s:1, b:0),
% 0.87/1.31 'c_Product__Type_OSigma' [70, 4] (w:1, o:206, a:1, s:1, b:0),
% 0.87/1.31 'class_Orderings_Obot' [71, 1] (w:1, o:95, a:1, s:1, b:0),
% 0.87/1.31 'c_Relation_Orel__comp' [73, 5] (w:1, o:223, a:1, s:1, b:0),
% 0.87/1.31 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1' [76, 3] (w:1, o:
% 0.87/1.31 180, a:1, s:1, b:0),
% 0.87/1.31 'c_Wellfounded_Owf' [77, 2] (w:1, o:142, a:1, s:1, b:0),
% 0.87/1.31 'c_Relation_ORange' [78, 3] (w:1, o:170, a:1, s:1, b:0),
% 0.87/1.31 'class_Ring__and__Field_Oordered__semidom' [79, 1] (w:1, o:96, a:1
% 0.87/1.31 , s:1, b:0),
% 0.87/1.31 'tc_nat' [82, 0] (w:1, o:47, a:1, s:1, b:0),
% 0.87/1.31 'c_Nat_Osemiring__1__class_Oof__nat' [83, 2] (w:1, o:143, a:1, s:1
% 0.87/1.31 , b:0),
% 0.87/1.31 'c_in' [84, 3] (w:1, o:181, a:1, s:1, b:0),
% 0.87/1.31 'c_COMBK' [85, 3] (w:1, o:182, a:1, s:1, b:0),
% 0.87/1.31 'c_Transitive__Closure_Otrancl' [86, 2] (w:1, o:144, a:1, s:1, b:0),
% 0.87/1.31
% 0.87/1.31 'class_Lattices_Olattice' [87, 1] (w:1, o:97, a:1, s:1, b:0),
% 0.87/1.31 't_a' [90, 0] (w:1, o:50, a:1, s:1, b:0),
% 0.87/1.31 'v_x' [91, 0] (w:1, o:51, a:1, s:1, b:0),
% 0.87/1.31 'class_Lattices_Odistrib__lattice' [92, 1] (w:1, o:98, a:1, s:1, b:0)
% 0.87/1.31 ,
% 0.87/1.31 'c_Relation_OId__on' [94, 2] (w:1, o:145, a:1, s:1, b:0),
% 0.87/1.31 'c_Relation_Orefl__on' [95, 3] (w:1, o:171, a:1, s:1, b:0),
% 0.87/1.31 'class_Lattices_Oupper__semilattice' [96, 1] (w:1, o:99, a:1, s:1, b:
% 0.87/1.31 0),
% 0.87/1.31 'c_List_Osko__Recdef__Xtfl__wf__induct__1__1' [100, 3] (w:1, o:183
% 0.87/1.31 , a:1, s:1, b:0),
% 0.87/1.31 'c_Relation_OId' [102, 1] (w:1, o:100, a:1, s:1, b:0),
% 0.87/1.31 'c_Relation_Osingle__valued' [103, 3] (w:1, o:172, a:1, s:1, b:0),
% 0.87/1.31 'class_OrderedGroup_Oab__group__add' [105, 1] (w:1, o:101, a:1, s:1
% 0.87/1.31 , b:0),
% 0.87/1.31 'class_Lattices_Olower__semilattice' [108, 1] (w:1, o:102, a:1, s:1
% 0.87/1.31 , b:0),
% 0.87/1.31 'c_Wellfounded_Oacyclic' [109, 2] (w:1, o:146, a:1, s:1, b:0),
% 0.87/1.31 'c_Relation_OField' [110, 2] (w:1, o:147, a:1, s:1, b:0),
% 1.45/1.82 'c_Relation_Oconverse' [111, 3] (w:1, o:173, a:1, s:1, b:0),
% 1.45/1.82 'c_Relation_Ototal__on' [112, 3] (w:1, o:174, a:1, s:1, b:0),
% 1.45/1.82 'c_Order__Relation_Ostrict__linear__order__on' [113, 3] (w:1, o:184
% 1.45/1.82 , a:1, s:1, b:0),
% 1.45/1.82 'c_Relation_Otrans' [115, 2] (w:1, o:148, a:1, s:1, b:0),
% 1.45/1.82 'c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1' [117, 3] (w:1, o:
% 1.45/1.82 185, a:1, s:1, b:0),
% 1.45/1.82 'class_Orderings_Oorder' [118, 1] (w:1, o:103, a:1, s:1, b:0),
% 1.45/1.82 'c_Relation_Oantisym' [119, 2] (w:1, o:149, a:1, s:1, b:0),
% 1.45/1.82 'c_List_Oset' [123, 2] (w:1, o:150, a:1, s:1, b:0),
% 1.45/1.82 'c_List_Olist_OCons' [124, 3] (w:1, o:186, a:1, s:1, b:0),
% 1.45/1.82 'class_HOL_Ominus' [126, 1] (w:1, o:104, a:1, s:1, b:0),
% 1.45/1.82 'v_r' [127, 0] (w:1, o:63, a:1, s:1, b:0),
% 1.45/1.82 'c_Wellfounded_Oacc' [129, 2] (w:1, o:151, a:1, s:1, b:0),
% 1.45/1.82 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1' [131, 3]
% 1.45/1.82 (w:1, o:187, a:1, s:1, b:0),
% 1.45/1.82 'c_List_Osko__Recdef__Xcuts__eq__1__1' [132, 6] (w:1, o:228, a:1, s:1
% 1.45/1.82 , b:0),
% 1.45/1.82 'c_Recdef_Ocut' [133, 5] (w:1, o:224, a:1, s:1, b:0),
% 1.45/1.82 'class_HOL_Oord' [134, 1] (w:1, o:105, a:1, s:1, b:0),
% 1.45/1.82 'class_Orderings_Olinorder' [136, 1] (w:1, o:106, a:1, s:1, b:0),
% 1.45/1.82 'c_HOL_Oord__class_Oless' [137, 3] (w:1, o:188, a:1, s:1, b:0),
% 1.45/1.82 'class_OrderedGroup_Opordered__ab__group__add' [138, 1] (w:1, o:107
% 1.45/1.82 , a:1, s:1, b:0),
% 1.45/1.82 'class_Orderings_Opreorder' [139, 1] (w:1, o:108, a:1, s:1, b:0),
% 1.45/1.82 'c_Equiv__Relations_Oequiv' [145, 3] (w:1, o:189, a:1, s:1, b:0),
% 1.45/1.82 'c_Relation_Oirrefl' [146, 2] (w:1, o:152, a:1, s:1, b:0),
% 1.45/1.82 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1'
% 1.45/1.82 [147, 4] (w:1, o:207, a:1, s:1, b:0),
% 1.45/1.82 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2'
% 1.45/1.82 [148, 4] (w:1, o:208, a:1, s:1, b:0),
% 1.45/1.82 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1' [149, 4
% 1.45/1.82 ] (w:1, o:209, a:1, s:1, b:0),
% 1.45/1.82 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2' [150, 4
% 1.45/1.82 ] (w:1, o:210, a:1, s:1, b:0),
% 1.45/1.82 'c_Equiv__Relations_Ocongruent2' [157, 6] (w:1, o:229, a:1, s:1, b:0)
% 1.45/1.82 ,
% 1.45/1.82 'c_List_Olist_ONil' [158, 1] (w:1, o:109, a:1, s:1, b:0),
% 1.45/1.82 'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1' [159, 3]
% 1.45/1.82 (w:1, o:190, a:1, s:1, b:0),
% 1.45/1.82 'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1' [160, 3] (w:1, o:
% 1.45/1.82 191, a:1, s:1, b:0),
% 1.45/1.82 'c_ATP__Linkup_Osko__Relation__XImageE__1__1' [161, 5] (w:1, o:225
% 1.45/1.82 , a:1, s:1, b:0),
% 1.45/1.82 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1' [162, 5] (w:1, o:
% 1.45/1.82 226, a:1, s:1, b:0),
% 1.45/1.82 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1' [163, 3] (w:1
% 1.45/1.82 , o:192, a:1, s:1, b:0),
% 1.45/1.82 'v_sko__Wellfounded__Xacc__Xinducts__1' [164, 2] (w:1, o:153, a:1, s:
% 1.45/1.82 1, b:0),
% 1.45/1.82 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1' [165, 3]
% 1.45/1.82 (w:1, o:193, a:1, s:1, b:0),
% 1.45/1.82 'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1' [166, 3] (w:
% 1.45/1.82 1, o:194, a:1, s:1, b:0),
% 1.45/1.82 'v_sko__Wellfounded__Xacc__Xinduct__1' [167, 2] (w:1, o:154, a:1, s:1
% 1.45/1.82 , b:0),
% 1.45/1.82 'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1' [168, 3] (w:1
% 1.45/1.82 , o:195, a:1, s:1, b:0),
% 1.45/1.82 'v_sko__Arrow__Order__Mirabelle__Xthird__alt__1' [169, 2] (w:1, o:155
% 1.45/1.82 , a:1, s:1, b:0),
% 1.45/1.82 'tc_Arrow__Order__Mirabelle_Oalt' [170, 0] (w:1, o:71, a:1, s:1, b:0)
% 1.45/1.82 ,
% 1.45/1.82 'c_List_Odistinct' [171, 2] (w:1, o:156, a:1, s:1, b:0),
% 1.45/1.82 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1' [172, 4]
% 1.45/1.82 (w:1, o:211, a:1, s:1, b:0),
% 1.45/1.82 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1' [173, 4]
% 1.45/1.82 (w:1, o:212, a:1, s:1, b:0),
% 1.45/1.82 'c_ATP__Linkup_Osko__Relation__XRangeE__1__1' [174, 4] (w:1, o:213
% 1.45/1.82 , a:1, s:1, b:0),
% 1.45/1.82 'c_ATP__Linkup_Osko__Relation__XRange__iff__1__1' [175, 4] (w:1, o:
% 1.45/1.82 214, a:1, s:1, b:0),
% 1.45/1.82 'c_ATP__Linkup_Osko__Relation__XDomainE__1__1' [177, 4] (w:1, o:215
% 1.45/1.82 , a:1, s:1, b:0),
% 1.45/1.82 'c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1' [178, 4] (w:1, o:
% 1.45/1.82 216, a:1, s:1, b:0),
% 1.45/1.82 'c_Nitpick_Orefl_H' [179, 2] (w:1, o:157, a:1, s:1, b:0),
% 9.60/9.98 'c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1' [180, 2] (w:1, o:158
% 9.60/9.98 , a:1, s:1, b:0),
% 9.60/9.98 'c_Wellfounded_Omlex__prod' [181, 3] (w:1, o:196, a:1, s:1, b:0),
% 9.60/9.98 'c_Equiv__Relations_Ocongruent' [182, 4] (w:1, o:217, a:1, s:1, b:0)
% 9.60/9.98 ,
% 9.60/9.98 'c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1' [183, 2] (w:1, o:
% 9.60/9.98 159, a:1, s:1, b:0),
% 9.60/9.98 't_b' [184, 0] (w:1, o:72, a:1, s:1, b:0),
% 9.60/9.98 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1' [185, 3] (w:1, o:197
% 9.60/9.98 , a:1, s:1, b:0),
% 9.60/9.98 'c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1' [186, 2] (w:1
% 9.60/9.98 , o:160, a:1, s:1, b:0),
% 9.60/9.98 'c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1' [187, 2] (w:1, o:
% 9.60/9.98 161, a:1, s:1, b:0),
% 9.60/9.98 'c_ATP__Linkup_Osko__Relation__XIdE__1__1' [188, 2] (w:1, o:162, a:1
% 9.60/9.98 , s:1, b:0),
% 9.60/9.98 'c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1' [189, 7] (w:1
% 9.60/9.98 , o:230, a:1, s:1, b:0),
% 9.60/9.98 'c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1' [190
% 9.60/9.98 , 2] (w:1, o:163, a:1, s:1, b:0),
% 9.60/9.98 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1' [191,
% 9.60/9.98 4] (w:1, o:218, a:1, s:1, b:0),
% 9.60/9.98 'v_sko__Transitive__Closure__Xtrancl__Xcases__1' [194, 3] (w:1, o:198
% 9.60/9.98 , a:1, s:1, b:0),
% 9.60/9.98 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1' [195, 4]
% 9.60/9.98 (w:1, o:219, a:1, s:1, b:0),
% 9.60/9.98 'c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1' [197, 4]
% 9.60/9.98 (w:1, o:220, a:1, s:1, b:0),
% 9.60/9.98 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1' [198
% 9.60/9.98 , 4] (w:1, o:221, a:1, s:1, b:0),
% 9.60/9.98 'v_sko__Transitive__Closure__Xrtrancl__Xcases__1' [199, 3] (w:1, o:
% 9.60/9.98 199, a:1, s:1, b:0),
% 9.60/9.98 'c_ATP__Linkup_Osko__Product__Type__XSigmaE__1__1' [200, 5] (w:1, o:
% 9.60/9.98 227, a:1, s:1, b:0),
% 9.60/9.98 'c_FunDef_Oin__rel' [201, 3] (w:1, o:201, a:1, s:1, b:0),
% 9.60/9.98 'c_Wellfounded_OwfP' [202, 2] (w:1, o:164, a:1, s:1, b:0),
% 9.60/9.98 'c_Equiv__Relations_Oquotient' [203, 3] (w:1, o:200, a:1, s:1, b:0),
% 9.60/9.98
% 9.60/9.98 'c_Relation_Oinv__image' [206, 4] (w:1, o:222, a:1, s:1, b:0),
% 9.60/9.98 'class_Nat_Osemiring__char__0' [208, 1] (w:1, o:94, a:1, s:1, b:0),
% 9.60/9.98 'c_Wellfounded_Omeasure' [210, 2] (w:1, o:165, a:1, s:1, b:0),
% 9.60/9.98 'v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1' [211, 2] (w:1, o:
% 9.60/9.98 166, a:1, s:1, b:0),
% 9.60/9.98 'v_c____' [212, 0] (w:1, o:74, a:1, s:1, b:0),
% 9.60/9.98 'v_d____' [213, 0] (w:1, o:75, a:1, s:1, b:0),
% 9.60/9.98 'v_e____' [214, 0] (w:1, o:76, a:1, s:1, b:0),
% 9.60/9.98 'c_Arrow__Order__Mirabelle_Omktop' [216, 2] (w:1, o:167, a:1, s:1, b:
% 9.60/9.98 0),
% 9.60/9.98 'class_Ring__and__Field_Oordered__idom' [218, 1] (w:1, o:110, a:1, s:
% 9.60/9.98 1, b:0),
% 9.60/9.98 'c_Arrow__Order__Mirabelle_Omkbot' [219, 2] (w:1, o:168, a:1, s:1, b:
% 9.60/9.98 0),
% 9.60/9.98 'v_P____' [220, 0] (w:1, o:78, a:1, s:1, b:0),
% 9.60/9.98 'c_Arrow__Order__Mirabelle_OProf' [221, 0] (w:1, o:79, a:1, s:1, b:0)
% 9.60/9.98 ,
% 9.60/9.98 'tc_Arrow__Order__Mirabelle_Oindi' [222, 0] (w:1, o:80, a:1, s:1, b:0
% 9.60/9.98 ),
% 9.60/9.98 'v_h____' [223, 1] (w:1, o:111, a:1, s:1, b:0),
% 9.60/9.98 'v_n____' [224, 0] (w:1, o:81, a:1, s:1, b:0),
% 9.60/9.98 'c_Arrow__Order__Mirabelle_Oabove' [225, 3] (w:1, o:202, a:1, s:1, b:
% 9.60/9.98 0),
% 9.60/9.98 'c_fequal' [228, 3] (w:1, o:203, a:1, s:1, b:0).
% 9.60/9.98
% 9.60/9.98
% 9.60/9.98 Starting Search:
% 9.60/9.98
% 9.60/9.98 Resimplifying inuse:
% 9.60/9.98 Done
% 9.60/9.98
% 9.60/9.98
% 9.60/9.98 Intermediate Status:
% 9.60/9.98 Generated: 3828
% 9.60/9.98 Kept: 2043
% 9.60/9.98 Inuse: 157
% 9.60/9.98 Deleted: 1
% 9.60/9.98 Deletedinuse: 0
% 9.60/9.98
% 9.60/9.98 Resimplifying inuse:
% 9.60/9.98 Done
% 9.60/9.98
% 9.60/9.98 Resimplifying inuse:
% 9.60/9.98 Done
% 9.60/9.98
% 9.60/9.98
% 9.60/9.98 Intermediate Status:
% 9.60/9.98 Generated: 10119
% 9.60/9.98 Kept: 4050
% 9.60/9.98 Inuse: 305
% 9.60/9.98 Deleted: 2
% 9.60/9.98 Deletedinuse: 1
% 9.60/9.98
% 9.60/9.98 Resimplifying inuse:
% 9.60/9.98 Done
% 9.60/9.98
% 9.60/9.98 Resimplifying inuse:
% 9.60/9.98 Done
% 9.60/9.98
% 9.60/9.98
% 9.60/9.98 Intermediate Status:
% 9.60/9.98 Generated: 19484
% 9.60/9.98 Kept: 6057
% 9.60/9.98 Inuse: 470
% 9.60/9.98 Deleted: 7
% 9.60/9.98 Deletedinuse: 1
% 9.60/9.98
% 9.60/9.98 Resimplifying inuse:
% 9.60/9.98 Done
% 9.60/9.98
% 9.60/9.98 Resimplifying inuse:
% 9.60/9.98 Done
% 9.60/9.98
% 9.60/9.98
% 9.60/9.98 Intermediate Status:
% 9.60/9.98 Generated: 25833
% 9.60/9.98 Kept: 8105
% 9.60/9.98 Inuse: 510
% 9.60/9.98 Deleted: 7
% 9.60/9.98 Deletedinuse: 1
% 9.60/9.98
% 9.60/9.98 Resimplifying inuse:
% 9.60/9.98 Done
% 9.60/9.98
% 9.60/9.98 Resimplifying inuse:
% 9.60/9.98 Done
% 9.60/9.98
% 9.60/9.98
% 9.60/9.98 Intermediate Status:
% 9.60/9.98 Generated: 34204
% 9.60/9.98 Kept: 10108
% 9.60/9.98 Inuse: 604
% 9.60/9.98 Deleted: 8
% 9.60/9.98 Deletedinuse: 1
% 9.60/9.98
% 9.60/9.98 Resimplifying inuse:
% 9.60/9.98 Done
% 9.60/9.98
% 9.60/9.98
% 9.60/9.98 Intermediate Status:
% 9.60/9.98 Generated: 44879
% 9.60/9.98 Kept: 12189
% 28.37/28.80 Inuse: 677
% 28.37/28.80 Deleted: 10
% 28.37/28.80 Deletedinuse: 1
% 28.37/28.80
% 28.37/28.80 Resimplifying inuse:
% 28.37/28.80 Done
% 28.37/28.80
% 28.37/28.80 Resimplifying inuse:
% 28.37/28.80 Done
% 28.37/28.80
% 28.37/28.80
% 28.37/28.80 Intermediate Status:
% 28.37/28.80 Generated: 58008
% 28.37/28.80 Kept: 14205
% 28.37/28.80 Inuse: 721
% 28.37/28.80 Deleted: 12
% 28.37/28.80 Deletedinuse: 2
% 28.37/28.80
% 28.37/28.80
% 28.37/28.80 Intermediate Status:
% 28.37/28.80 Generated: 75034
% 28.37/28.80 Kept: 16775
% 28.37/28.80 Inuse: 735
% 28.37/28.80 Deleted: 13
% 28.37/28.80 Deletedinuse: 2
% 28.37/28.80
% 28.37/28.80 Resimplifying inuse:
% 28.37/28.80 Done
% 28.37/28.80
% 28.37/28.80
% 28.37/28.80 Intermediate Status:
% 28.37/28.80 Generated: 92897
% 28.37/28.80 Kept: 19194
% 28.37/28.80 Inuse: 740
% 28.37/28.80 Deleted: 13
% 28.37/28.80 Deletedinuse: 2
% 28.37/28.80
% 28.37/28.80 Resimplifying inuse:
% 28.37/28.80 Done
% 28.37/28.80
% 28.37/28.80 Resimplifying inuse:
% 28.37/28.80 Done
% 28.37/28.80
% 28.37/28.80 Resimplifying clauses:
% 28.37/28.80 Done
% 28.37/28.80
% 28.37/28.80
% 28.37/28.80 Intermediate Status:
% 28.37/28.80 Generated: 101736
% 28.37/28.80 Kept: 21195
% 28.37/28.80 Inuse: 775
% 28.37/28.80 Deleted: 198
% 28.37/28.80 Deletedinuse: 4
% 28.37/28.80
% 28.37/28.80 Resimplifying inuse:
% 28.37/28.80 Done
% 28.37/28.80
% 28.37/28.80 Resimplifying inuse:
% 28.37/28.80 Done
% 28.37/28.80
% 28.37/28.80
% 28.37/28.80 Intermediate Status:
% 28.37/28.80 Generated: 115888
% 28.37/28.80 Kept: 23603
% 28.37/28.80 Inuse: 796
% 28.37/28.80 Deleted: 199
% 28.37/28.80 Deletedinuse: 5
% 28.37/28.80
% 28.37/28.80 Resimplifying inuse:
% 28.37/28.80 Done
% 28.37/28.80
% 28.37/28.80 Resimplifying inuse:
% 28.37/28.80 Done
% 28.37/28.80
% 28.37/28.80
% 28.37/28.80 Intermediate Status:
% 28.37/28.80 Generated: 127200
% 28.37/28.80 Kept: 25707
% 28.37/28.80 Inuse: 826
% 28.37/28.80 Deleted: 199
% 28.37/28.80 Deletedinuse: 5
% 28.37/28.80
% 28.37/28.80 Resimplifying inuse:
% 28.37/28.80 Done
% 28.37/28.80
% 28.37/28.80 Resimplifying inuse:
% 28.37/28.80 Done
% 28.37/28.80
% 28.37/28.80
% 28.37/28.80 Intermediate Status:
% 28.37/28.80 Generated: 144511
% 28.37/28.80 Kept: 28620
% 28.37/28.80 Inuse: 883
% 28.37/28.80 Deleted: 199
% 28.37/28.80 Deletedinuse: 5
% 28.37/28.80
% 28.37/28.80 Resimplifying inuse:
% 28.37/28.80 Done
% 28.37/28.80
% 28.37/28.80 Resimplifying inuse:
% 28.37/28.80 Done
% 28.37/28.80
% 28.37/28.80
% 28.37/28.80 Intermediate Status:
% 28.37/28.80 Generated: 157572
% 28.37/28.80 Kept: 30857
% 28.37/28.80 Inuse: 936
% 28.37/28.80 Deleted: 200
% 28.37/28.80 Deletedinuse: 6
% 28.37/28.80
% 28.37/28.80 Resimplifying inuse:
% 28.37/28.80 Done
% 28.37/28.80
% 28.37/28.80 Resimplifying inuse:
% 28.37/28.80 Done
% 28.37/28.80
% 28.37/28.80
% 28.37/28.80 Intermediate Status:
% 28.37/28.80 Generated: 169631
% 28.37/28.80 Kept: 32930
% 28.37/28.80 Inuse: 990
% 28.37/28.80 Deleted: 200
% 28.37/28.80 Deletedinuse: 6
% 28.37/28.80
% 28.37/28.80 Resimplifying inuse:
% 28.37/28.80 Done
% 28.37/28.80
% 28.37/28.80 Resimplifying inuse:
% 28.37/28.80 Done
% 28.37/28.80
% 28.37/28.80
% 28.37/28.80 Intermediate Status:
% 28.37/28.80 Generated: 178185
% 28.37/28.80 Kept: 34934
% 28.37/28.80 Inuse: 1057
% 28.37/28.80 Deleted: 201
% 28.37/28.80 Deletedinuse: 7
% 28.37/28.80
% 28.37/28.80 Resimplifying inuse:
% 28.37/28.80 Done
% 28.37/28.80
% 28.37/28.80
% 28.37/28.80 Intermediate Status:
% 28.37/28.80 Generated: 187249
% 28.37/28.80 Kept: 37177
% 28.37/28.80 Inuse: 1075
% 28.37/28.80 Deleted: 202
% 28.37/28.80 Deletedinuse: 8
% 28.37/28.80
% 28.37/28.80 Resimplifying inuse:
% 28.37/28.80 Done
% 28.37/28.80
% 28.37/28.80 Resimplifying inuse:
% 28.37/28.80 Done
% 28.37/28.80
% 28.37/28.80
% 28.37/28.80 Intermediate Status:
% 28.37/28.80 Generated: 204495
% 28.37/28.80 Kept: 39599
% 28.37/28.80 Inuse: 1110
% 28.37/28.80 Deleted: 202
% 28.37/28.80 Deletedinuse: 8
% 28.37/28.80
% 28.37/28.80 Resimplifying inuse:
% 28.37/28.80 Done
% 28.37/28.80
% 28.37/28.80
% 28.37/28.80 Intermediate Status:
% 28.37/28.80 Generated: 216714
% 28.37/28.80 Kept: 41885
% 28.37/28.80 Inuse: 1115
% 28.37/28.80 Deleted: 202
% 28.37/28.80 Deletedinuse: 8
% 28.37/28.80
% 28.37/28.80 Resimplifying inuse:
% 28.37/28.80 Done
% 28.37/28.80
% 28.37/28.80 Resimplifying clauses:
% 28.37/28.80 Done
% 28.37/28.80
% 28.37/28.80 Resimplifying inuse:
% 28.37/28.80 Done
% 28.37/28.80
% 28.37/28.80
% 28.37/28.80 Intermediate Status:
% 28.37/28.80 Generated: 225821
% 28.37/28.80 Kept: 43888
% 28.37/28.80 Inuse: 1122
% 28.37/28.80 Deleted: 404
% 28.37/28.80 Deletedinuse: 8
% 28.37/28.80
% 28.37/28.80 Resimplifying inuse:
% 28.37/28.80 Done
% 28.37/28.80
% 28.37/28.80 Resimplifying inuse:
% 28.37/28.80 Done
% 28.37/28.80
% 28.37/28.80
% 28.37/28.80 Intermediate Status:
% 28.37/28.80 Generated: 240274
% 28.37/28.80 Kept: 45893
% 28.37/28.80 Inuse: 1186
% 28.37/28.80 Deleted: 436
% 28.37/28.80 Deletedinuse: 34
% 28.37/28.80
% 28.37/28.80
% 28.37/28.80 Intermediate Status:
% 28.37/28.80 Generated: 249136
% 28.37/28.80 Kept: 48385
% 28.37/28.80 Inuse: 1194
% 28.37/28.80 Deleted: 436
% 28.37/28.80 Deletedinuse: 34
% 28.37/28.80
% 28.37/28.80 Resimplifying inuse:
% 28.37/28.80 Done
% 28.37/28.80
% 28.37/28.80 Resimplifying inuse:
% 28.37/28.80 Done
% 28.37/28.80
% 28.37/28.80
% 28.37/28.80 Intermediate Status:
% 28.37/28.80 Generated: 258202
% 28.37/28.80 Kept: 50387
% 28.37/28.80 Inuse: 1208
% 28.37/28.80 Deleted: 441
% 28.37/28.80 Deletedinuse: 34
% 28.37/28.80
% 28.37/28.80 Resimplifying inuse:
% 28.37/28.80 Done
% 28.37/28.80
% 28.37/28.80
% 28.37/28.80 Intermediate Status:
% 28.37/28.80 Generated: 271524
% 28.37/28.80 Kept: 52564
% 28.37/28.80 Inuse: 1232
% 28.37/28.80 Deleted: 441
% 28.37/28.80 Deletedinuse: 34
% 28.37/28.80
% 28.37/28.80 Resimplifying inuse:
% 28.37/28.80 Done
% 28.37/28.80
% 28.37/28.80 Resimplifying inuse:
% 28.37/28.80 Done
% 28.37/28.80
% 28.37/28.80
% 28.37/28.80 Intermediate Status:
% 28.37/28.80 Generated: 293034
% 28.37/28.80 Kept: 54633
% 28.37/28.80 Inuse: 1251
% 28.37/28.80 Deleted: 442
% 28.37/28.80 Deletedinuse: 35
% 28.37/28.80
% 28.37/28.80 Resimplifying inuse:
% 28.37/28.80 Done
% 28.37/28.80
% 28.37/28.80 Resimplifying inuse:
% 28.37/28.80 Done
% 28.37/28.80
% 28.37/28.80
% 28.37/28.80 Intermediate Status:
% 28.37/28.80 Generated: 320199
% 28.37/28.80 Kept: 58489
% 28.37/28.80 Inuse: 1274
% 28.37/28.80 Deleted: 442
% 28.37/28.80 Deletedinuse: 35
% 28.37/28.80
% 28.37/28.80 Resimplifying inuse:
% 28.37/28.80 Done
% 28.37/28.80
% 28.37/28.80 Resimplifying inuse:
% 28.37/28.80 Done
% 28.37/28.80
% 28.37/28.80
% 28.37/28.80 Intermediate Status:
% 28.37/28.80 Generated: 334551
% 28.37/28.80 Kept: 60519
% 28.37/28.80 Inuse: 1309
% 28.37/28.80 Deleted: 442
% 28.37/28.80 Deletedinuse: 35
% 28.37/28.80
% 28.37/28.80 Resimplifying inuse:
% 28.37/28.80 Done
% 28.37/28.80
% 28.37/28.80 Resimplifying inuse:
% 28.37/28.80 Done
% 28.37/28.80
% 28.37/28.80 Resimplifying clauses:
% 28.37/28.80 Done
% 28.37/28.80
% 28.37/28.80
% 28.37/28.80 Intermediate Status:
% 28.37/28.80 Generated: 348466
% 28.37/28.80 Kept: 62770
% 28.37/28.80 Inuse: 1339
% 28.37/28.80 Deleted: 2629
% 28.37/28.80 Deletedinuse: 35
% 28.37/28.80
% 28.37/28.80 Resimplifying inuse:
% 28.37/28.80 Done
% 28.37/28.80
% 28.37/28.80 Resimplifying inuse:
% 28.37/28.80 Done
% 28.37/28.80
% 28.37/28.80
% 28.37/28.80 Intermediate Status:
% 28.37/28.80 Generated: 367890
% 28.37/28.80 Kept: 66220
% 28.37/28.80 Inuse: 1359
% 28.37/28.80 Deleted: 2629
% 28.37/28.80 Deletedinuse: 35
% 28.37/28.80
% 28.37/28.80 Resimplifying inuse:
% 28.37/28.80 Done
% 28.37/28.80
% 28.37/28.80 Resimplifying inuse:
% 28.37/28.80 Done
% 28.37/28.80
% 28.37/28.80
% 28.37/28.80 Intermediate Status:
% 28.37/28.80 Generated: 390538
% 28.37/28.80 Kept: 69542
% 28.37/28.80 Inuse: 1374
% 28.37/28.80 Deleted: 2629
% 28.37/28.80 Deletedinuse: 35
% 28.37/28.80
% 28.37/28.80 Resimplifying inuse:
% 28.37/28.80 Done
% 28.37/28.80
% 28.37/28.80 Resimplifying inuse:
% 28.37/28.80 Done
% 28.37/28.80
% 28.37/28.80
% 28.37/28.80 Intermediate Status:
% 80.12/80.55 Generated: 409448
% 80.12/80.55 Kept: 71571
% 80.12/80.55 Inuse: 1394
% 80.12/80.55 Deleted: 2629
% 80.12/80.55 Deletedinuse: 35
% 80.12/80.55
% 80.12/80.55 Resimplifying inuse:
% 80.12/80.55 Done
% 80.12/80.55
% 80.12/80.55
% 80.12/80.55 Intermediate Status:
% 80.12/80.55 Generated: 423994
% 80.12/80.55 Kept: 73591
% 80.12/80.55 Inuse: 1424
% 80.12/80.55 Deleted: 2629
% 80.12/80.55 Deletedinuse: 35
% 80.12/80.55
% 80.12/80.55 Resimplifying inuse:
% 80.12/80.55 Done
% 80.12/80.55
% 80.12/80.55 Resimplifying inuse:
% 80.12/80.55 Done
% 80.12/80.55
% 80.12/80.55
% 80.12/80.55 Intermediate Status:
% 80.12/80.55 Generated: 435668
% 80.12/80.55 Kept: 75692
% 80.12/80.55 Inuse: 1459
% 80.12/80.55 Deleted: 2639
% 80.12/80.55 Deletedinuse: 45
% 80.12/80.55
% 80.12/80.55 Resimplifying inuse:
% 80.12/80.55 Done
% 80.12/80.55
% 80.12/80.55
% 80.12/80.55 Intermediate Status:
% 80.12/80.55 Generated: 446562
% 80.12/80.55 Kept: 77795
% 80.12/80.55 Inuse: 1479
% 80.12/80.55 Deleted: 2639
% 80.12/80.55 Deletedinuse: 45
% 80.12/80.55
% 80.12/80.55 Resimplifying inuse:
% 80.12/80.55 Done
% 80.12/80.55
% 80.12/80.55
% 80.12/80.55 Intermediate Status:
% 80.12/80.55 Generated: 460839
% 80.12/80.55 Kept: 79930
% 80.12/80.55 Inuse: 1504
% 80.12/80.55 Deleted: 2639
% 80.12/80.55 Deletedinuse: 45
% 80.12/80.55
% 80.12/80.55 Resimplifying inuse:
% 80.12/80.55 Done
% 80.12/80.55
% 80.12/80.55 Resimplifying inuse:
% 80.12/80.55 Done
% 80.12/80.55
% 80.12/80.55
% 80.12/80.55 Intermediate Status:
% 80.12/80.55 Generated: 469741
% 80.12/80.55 Kept: 81950
% 80.12/80.55 Inuse: 1539
% 80.12/80.55 Deleted: 2642
% 80.12/80.55 Deletedinuse: 48
% 80.12/80.55
% 80.12/80.55 Resimplifying clauses:
% 80.12/80.55 Done
% 80.12/80.55
% 80.12/80.55 Resimplifying inuse:
% 80.12/80.55 Done
% 80.12/80.55
% 80.12/80.55 Resimplifying inuse:
% 80.12/80.55 Done
% 80.12/80.55
% 80.12/80.55
% 80.12/80.55 Intermediate Status:
% 80.12/80.55 Generated: 488408
% 80.12/80.55 Kept: 84047
% 80.12/80.55 Inuse: 1568
% 80.12/80.55 Deleted: 2928
% 80.12/80.55 Deletedinuse: 57
% 80.12/80.55
% 80.12/80.55 Resimplifying inuse:
% 80.12/80.55 Done
% 80.12/80.55
% 80.12/80.55
% 80.12/80.55 Intermediate Status:
% 80.12/80.55 Generated: 502317
% 80.12/80.55 Kept: 87123
% 80.12/80.55 Inuse: 1575
% 80.12/80.55 Deleted: 2928
% 80.12/80.55 Deletedinuse: 57
% 80.12/80.55
% 80.12/80.55 Resimplifying inuse:
% 80.12/80.55 Done
% 80.12/80.55
% 80.12/80.55
% 80.12/80.55 Intermediate Status:
% 80.12/80.55 Generated: 517480
% 80.12/80.55 Kept: 90527
% 80.12/80.55 Inuse: 1585
% 80.12/80.55 Deleted: 2928
% 80.12/80.55 Deletedinuse: 57
% 80.12/80.55
% 80.12/80.55 Resimplifying inuse:
% 80.12/80.55 Done
% 80.12/80.55
% 80.12/80.55 Resimplifying inuse:
% 80.12/80.55 Done
% 80.12/80.55
% 80.12/80.55
% 80.12/80.55 Intermediate Status:
% 80.12/80.55 Generated: 526766
% 80.12/80.55 Kept: 92577
% 80.12/80.55 Inuse: 1605
% 80.12/80.55 Deleted: 2929
% 80.12/80.55 Deletedinuse: 58
% 80.12/80.55
% 80.12/80.55 Resimplifying inuse:
% 80.12/80.55 Done
% 80.12/80.55
% 80.12/80.55 Resimplifying inuse:
% 80.12/80.55 Done
% 80.12/80.55
% 80.12/80.55
% 80.12/80.55 Intermediate Status:
% 80.12/80.55 Generated: 537511
% 80.12/80.55 Kept: 94723
% 80.12/80.55 Inuse: 1630
% 80.12/80.55 Deleted: 2929
% 80.12/80.55 Deletedinuse: 58
% 80.12/80.55
% 80.12/80.55 Resimplifying inuse:
% 80.12/80.55 Done
% 80.12/80.55
% 80.12/80.55 Resimplifying inuse:
% 80.12/80.55 Done
% 80.12/80.55
% 80.12/80.55
% 80.12/80.55 Intermediate Status:
% 80.12/80.55 Generated: 550422
% 80.12/80.55 Kept: 97150
% 80.12/80.55 Inuse: 1645
% 80.12/80.55 Deleted: 2929
% 80.12/80.55 Deletedinuse: 58
% 80.12/80.55
% 80.12/80.55 Resimplifying inuse:
% 80.12/80.55 Done
% 80.12/80.55
% 80.12/80.55 Resimplifying inuse:
% 80.12/80.55 Done
% 80.12/80.55
% 80.12/80.55
% 80.12/80.55 Intermediate Status:
% 80.12/80.55 Generated: 561245
% 80.12/80.55 Kept: 99487
% 80.12/80.55 Inuse: 1665
% 80.12/80.55 Deleted: 2929
% 80.12/80.55 Deletedinuse: 58
% 80.12/80.55
% 80.12/80.55 Resimplifying inuse:
% 80.12/80.55 Done
% 80.12/80.55
% 80.12/80.55 Resimplifying inuse:
% 80.12/80.55 Done
% 80.12/80.55
% 80.12/80.55
% 80.12/80.55 Intermediate Status:
% 80.12/80.55 Generated: 570405
% 80.12/80.55 Kept: 101640
% 80.12/80.55 Inuse: 1685
% 80.12/80.55 Deleted: 2929
% 80.12/80.55 Deletedinuse: 58
% 80.12/80.55
% 80.12/80.55 Resimplifying inuse:
% 80.12/80.55 Done
% 80.12/80.55
% 80.12/80.55 Resimplifying clauses:
% 80.12/80.55 Done
% 80.12/80.55
% 80.12/80.55 Resimplifying inuse:
% 80.12/80.55 Done
% 80.12/80.55
% 80.12/80.55
% 80.12/80.55 Intermediate Status:
% 80.12/80.55 Generated: 580862
% 80.12/80.55 Kept: 103754
% 80.12/80.55 Inuse: 1720
% 80.12/80.55 Deleted: 3465
% 80.12/80.55 Deletedinuse: 58
% 80.12/80.55
% 80.12/80.55 Resimplifying inuse:
% 80.12/80.55 Done
% 80.12/80.55
% 80.12/80.55 Resimplifying inuse:
% 80.12/80.55 Done
% 80.12/80.55
% 80.12/80.55
% 80.12/80.55 Intermediate Status:
% 80.12/80.55 Generated: 591462
% 80.12/80.55 Kept: 105762
% 80.12/80.55 Inuse: 1753
% 80.12/80.55 Deleted: 3465
% 80.12/80.55 Deletedinuse: 58
% 80.12/80.55
% 80.12/80.55 Resimplifying inuse:
% 80.12/80.55 Done
% 80.12/80.55
% 80.12/80.55
% 80.12/80.55 Intermediate Status:
% 80.12/80.55 Generated: 602355
% 80.12/80.55 Kept: 108089
% 80.12/80.55 Inuse: 1770
% 80.12/80.55 Deleted: 3466
% 80.12/80.55 Deletedinuse: 59
% 80.12/80.55
% 80.12/80.55 Resimplifying inuse:
% 80.12/80.55 Done
% 80.12/80.55
% 80.12/80.55 Resimplifying inuse:
% 80.12/80.55 Done
% 80.12/80.55
% 80.12/80.55
% 80.12/80.55 Intermediate Status:
% 80.12/80.55 Generated: 611281
% 80.12/80.55 Kept: 110092
% 80.12/80.55 Inuse: 1794
% 80.12/80.55 Deleted: 3468
% 80.12/80.55 Deletedinuse: 61
% 80.12/80.55
% 80.12/80.55 Resimplifying inuse:
% 80.12/80.55 Done
% 80.12/80.55
% 80.12/80.55
% 80.12/80.55 Intermediate Status:
% 80.12/80.55 Generated: 619450
% 80.12/80.55 Kept: 112107
% 80.12/80.55 Inuse: 1815
% 80.12/80.55 Deleted: 3468
% 80.12/80.55 Deletedinuse: 61
% 80.12/80.55
% 80.12/80.55 Resimplifying inuse:
% 80.12/80.55 Done
% 80.12/80.55
% 80.12/80.55 Resimplifying inuse:
% 80.12/80.55 Done
% 80.12/80.55
% 80.12/80.55
% 80.12/80.55 Intermediate Status:
% 80.12/80.55 Generated: 636748
% 80.12/80.55 Kept: 114217
% 80.12/80.55 Inuse: 1825
% 80.12/80.55 Deleted: 3469
% 80.12/80.55 Deletedinuse: 62
% 80.12/80.55
% 80.12/80.55 Resimplifying inuse:
% 80.12/80.55 Done
% 80.12/80.55
% 80.12/80.55 Resimplifying inuse:
% 80.12/80.55 Done
% 80.12/80.55
% 80.12/80.55
% 80.12/80.55 Intermediate Status:
% 80.12/80.55 Generated: 643549
% 80.12/80.55 Kept: 116243
% 80.12/80.55 Inuse: 1849
% 80.12/80.55 Deleted: 3470
% 80.12/80.55 Deletedinuse: 63
% 80.12/80.55
% 80.12/80.55 Resimplifying inuse:
% 80.12/80.55 Done
% 80.12/80.55
% 80.12/80.55
% 80.12/80.55 Intermediate Status:
% 80.12/80.55 Generated: 662916
% 80.12/80.55 Kept: 120957
% 80.12/80.55 Inuse: 1859
% 80.12/80.55 Deleted: 3471
% 80.12/80.55 Deletedinuse: 63
% 80.12/80.55
% 80.12/80.55 Resimplifying inuse:
% 80.12/80.55 Done
% 80.12/80.55
% 80.12/80.55
% 80.12/80.55 Intermediate Status:
% 80.12/80.55 Generated: 677933
% 80.12/80.55 Kept: 124488
% 80.12/80.55 Inuse: 1864
% 80.12/80.55 Deleted: 3471
% 80.12/80.55 Deletedinuse: 63
% 80.12/80.55
% 80.12/80.55 Resimplifying inuse:
% 80.12/80.55 Done
% 80.12/80.55
% 80.12/80.55 Resimplifying clauses:
% 80.12/80.55 Done
% 80.12/80.55
% 80.12/80.55
% 80.12/80.55 Intermediate Status:
% 80.12/80.55 Generated: 693359
% 80.12/80.55 Kept: 128085
% 80.12/80.55 Inuse: 1869
% 80.12/80.55 Deleted: 3700
% 80.12/80.55 Deletedinuse: 63
% 80.12/80.55
% 80.12/80.55 Resimplifying inuse:
% 80.12/80.55 Done
% 80.12/80.55
% 80.12/80.55 Resimplifying inuse:
% 80.12/80.55 Done
% 80.12/80.55
% 80.12/80.55
% 80.12/80.55 Intermediate Status:
% 80.12/80.55 Generated: 702754
% 80.12/80.55 Kept: 130559
% 80.12/80.55 Inuse: 1889
% 80.12/80.55 Deleted: 3700
% 80.12/80.55 Deletedinuse: 63
% 80.12/80.55
% 80.12/80.55 Resimplifying inuse:
% 258.33/258.82 Done
% 258.33/258.82
% 258.33/258.82
% 258.33/258.82 Intermediate Status:
% 258.33/258.82 Generated: 723552
% 258.33/258.82 Kept: 134708
% 258.33/258.82 Inuse: 1899
% 258.33/258.82 Deleted: 3700
% 258.33/258.82 Deletedinuse: 63
% 258.33/258.82
% 258.33/258.82 Resimplifying inuse:
% 258.33/258.82 Done
% 258.33/258.82
% 258.33/258.82
% 258.33/258.82 Intermediate Status:
% 258.33/258.82 Generated: 743853
% 258.33/258.82 Kept: 139237
% 258.33/258.82 Inuse: 1909
% 258.33/258.82 Deleted: 3700
% 258.33/258.82 Deletedinuse: 63
% 258.33/258.82
% 258.33/258.82 Resimplifying inuse:
% 258.33/258.82 Done
% 258.33/258.82
% 258.33/258.82
% 258.33/258.82 Intermediate Status:
% 258.33/258.82 Generated: 763674
% 258.33/258.82 Kept: 143775
% 258.33/258.82 Inuse: 1919
% 258.33/258.82 Deleted: 3709
% 258.33/258.82 Deletedinuse: 72
% 258.33/258.82
% 258.33/258.82 Resimplifying inuse:
% 258.33/258.82 Done
% 258.33/258.82
% 258.33/258.82 Resimplifying clauses:
% 258.33/258.82 Done
% 258.33/258.82
% 258.33/258.82 Resimplifying inuse:
% 258.33/258.82 Done
% 258.33/258.82
% 258.33/258.82
% 258.33/258.82 Intermediate Status:
% 258.33/258.82 Generated: 800690
% 258.33/258.82 Kept: 145795
% 258.33/258.82 Inuse: 1925
% 258.33/258.82 Deleted: 4150
% 258.33/258.82 Deletedinuse: 75
% 258.33/258.82
% 258.33/258.82
% 258.33/258.82 Intermediate Status:
% 258.33/258.82 Generated: 821380
% 258.33/258.82 Kept: 147975
% 258.33/258.82 Inuse: 1929
% 258.33/258.82 Deleted: 4150
% 258.33/258.82 Deletedinuse: 75
% 258.33/258.82
% 258.33/258.82 Resimplifying inuse:
% 258.33/258.82 Done
% 258.33/258.82
% 258.33/258.82 Resimplifying inuse:
% 258.33/258.82 Done
% 258.33/258.82
% 258.33/258.82
% 258.33/258.82 Intermediate Status:
% 258.33/258.82 Generated: 854160
% 258.33/258.82 Kept: 150196
% 258.33/258.82 Inuse: 1939
% 258.33/258.82 Deleted: 4152
% 258.33/258.82 Deletedinuse: 77
% 258.33/258.82
% 258.33/258.82 Resimplifying inuse:
% 258.33/258.82 Done
% 258.33/258.82
% 258.33/258.82 Resimplifying inuse:
% 258.33/258.82 Done
% 258.33/258.82
% 258.33/258.82
% 258.33/258.82 Intermediate Status:
% 258.33/258.82 Generated: 893563
% 258.33/258.82 Kept: 156033
% 258.33/258.82 Inuse: 1949
% 258.33/258.82 Deleted: 4153
% 258.33/258.82 Deletedinuse: 78
% 258.33/258.82
% 258.33/258.82 Resimplifying inuse:
% 258.33/258.82 Done
% 258.33/258.82
% 258.33/258.82 Resimplifying inuse:
% 258.33/258.82 Done
% 258.33/258.82
% 258.33/258.82
% 258.33/258.82 Intermediate Status:
% 258.33/258.82 Generated: 906941
% 258.33/258.82 Kept: 158317
% 258.33/258.82 Inuse: 1959
% 258.33/258.82 Deleted: 4153
% 258.33/258.82 Deletedinuse: 78
% 258.33/258.82
% 258.33/258.82 Resimplifying inuse:
% 258.33/258.82 Done
% 258.33/258.82
% 258.33/258.82 Resimplifying inuse:
% 258.33/258.82 Done
% 258.33/258.82
% 258.33/258.82
% 258.33/258.82 Intermediate Status:
% 258.33/258.82 Generated: 920390
% 258.33/258.82 Kept: 160736
% 258.33/258.82 Inuse: 1979
% 258.33/258.82 Deleted: 4154
% 258.33/258.82 Deletedinuse: 79
% 258.33/258.82
% 258.33/258.82 Resimplifying inuse:
% 258.33/258.82 Done
% 258.33/258.82
% 258.33/258.82
% 258.33/258.82 Intermediate Status:
% 258.33/258.82 Generated: 942436
% 258.33/258.82 Kept: 165557
% 258.33/258.82 Inuse: 1989
% 258.33/258.82 Deleted: 4155
% 258.33/258.82 Deletedinuse: 80
% 258.33/258.82
% 258.33/258.82 Resimplifying inuse:
% 258.33/258.82 Done
% 258.33/258.82
% 258.33/258.82 Resimplifying clauses:
% 258.33/258.82 Done
% 258.33/258.82
% 258.33/258.82 Resimplifying inuse:
% 258.33/258.82 Done
% 258.33/258.82
% 258.33/258.82
% 258.33/258.82 Intermediate Status:
% 258.33/258.82 Generated: 950694
% 258.33/258.82 Kept: 167753
% 258.33/258.82 Inuse: 2004
% 258.33/258.82 Deleted: 4901
% 258.33/258.82 Deletedinuse: 87
% 258.33/258.82
% 258.33/258.82 Resimplifying inuse:
% 258.33/258.82 Done
% 258.33/258.82
% 258.33/258.82 Resimplifying inuse:
% 258.33/258.82 Done
% 258.33/258.82
% 258.33/258.82
% 258.33/258.82 Intermediate Status:
% 258.33/258.82 Generated: 965565
% 258.33/258.82 Kept: 169775
% 258.33/258.82 Inuse: 2044
% 258.33/258.82 Deleted: 4904
% 258.33/258.82 Deletedinuse: 88
% 258.33/258.82
% 258.33/258.82 Resimplifying inuse:
% 258.33/258.82 Done
% 258.33/258.82
% 258.33/258.82
% 258.33/258.82 Intermediate Status:
% 258.33/258.82 Generated: 974691
% 258.33/258.82 Kept: 171872
% 258.33/258.82 Inuse: 2064
% 258.33/258.82 Deleted: 4908
% 258.33/258.82 Deletedinuse: 89
% 258.33/258.82
% 258.33/258.82 Resimplifying inuse:
% 258.33/258.82 Done
% 258.33/258.82
% 258.33/258.82
% 258.33/258.82 Intermediate Status:
% 258.33/258.82 Generated: 995809
% 258.33/258.82 Kept: 174505
% 258.33/258.82 Inuse: 2074
% 258.33/258.82 Deleted: 4908
% 258.33/258.82 Deletedinuse: 89
% 258.33/258.82
% 258.33/258.82 Resimplifying inuse:
% 258.33/258.82 Done
% 258.33/258.82
% 258.33/258.82 Resimplifying inuse:
% 258.33/258.82 Done
% 258.33/258.82
% 258.33/258.82
% 258.33/258.82 Intermediate Status:
% 258.33/258.82 Generated: 1028499
% 258.33/258.82 Kept: 177331
% 258.33/258.82 Inuse: 2108
% 258.33/258.82 Deleted: 4912
% 258.33/258.82 Deletedinuse: 89
% 258.33/258.82
% 258.33/258.82 Resimplifying inuse:
% 258.33/258.82 Done
% 258.33/258.82
% 258.33/258.82
% 258.33/258.82 Intermediate Status:
% 258.33/258.82 Generated: 1045687
% 258.33/258.82 Kept: 179629
% 258.33/258.82 Inuse: 2110
% 258.33/258.82 Deleted: 4912
% 258.33/258.82 Deletedinuse: 89
% 258.33/258.82
% 258.33/258.82 Resimplifying inuse:
% 258.33/258.82 Done
% 258.33/258.82
% 258.33/258.82
% 258.33/258.82 Intermediate Status:
% 258.33/258.82 Generated: 1064923
% 258.33/258.82 Kept: 182056
% 258.33/258.82 Inuse: 2115
% 258.33/258.82 Deleted: 4912
% 258.33/258.82 Deletedinuse: 89
% 258.33/258.82
% 258.33/258.82 Resimplifying inuse:
% 258.33/258.82 Done
% 258.33/258.82
% 258.33/258.82 Resimplifying inuse:
% 258.33/258.82 Done
% 258.33/258.82
% 258.33/258.82
% 258.33/258.82 Intermediate Status:
% 258.33/258.82 Generated: 1083876
% 258.33/258.82 Kept: 184457
% 258.33/258.82 Inuse: 2145
% 258.33/258.82 Deleted: 4912
% 258.33/258.82 Deletedinuse: 89
% 258.33/258.82
% 258.33/258.82 Resimplifying inuse:
% 258.33/258.82 Done
% 258.33/258.82
% 258.33/258.82 Resimplifying inuse:
% 258.33/258.82 Done
% 258.33/258.82
% 258.33/258.82 Resimplifying clauses:
% 258.33/258.82 Done
% 258.33/258.82
% 258.33/258.82
% 258.33/258.82 Intermediate Status:
% 258.33/258.82 Generated: 1098147
% 258.33/258.82 Kept: 186462
% 258.33/258.82 Inuse: 2164
% 258.33/258.82 Deleted: 5517
% 258.33/258.82 Deletedinuse: 89
% 258.33/258.82
% 258.33/258.82 Resimplifying inuse:
% 258.33/258.82 Done
% 258.33/258.82
% 258.33/258.82 Resimplifying inuse:
% 258.33/258.82 Done
% 258.33/258.82
% 258.33/258.82
% 258.33/258.82 Intermediate Status:
% 258.33/258.82 Generated: 1105008
% 258.33/258.82 Kept: 188463
% 258.33/258.82 Inuse: 2175
% 258.33/258.82 Deleted: 5519
% 258.33/258.82 Deletedinuse: 91
% 258.33/258.82
% 258.33/258.82 Resimplifying inuse:
% 258.33/258.82 Done
% 258.33/258.82
% 258.33/258.82 Resimplifying inuse:
% 258.33/258.82 Done
% 258.33/258.82
% 258.33/258.82
% 258.33/258.82 Intermediate Status:
% 258.33/258.82 Generated: 1113362
% 258.33/258.82 Kept: 190555
% 258.33/258.82 Inuse: 2188
% 258.33/258.82 Deleted: 5519
% 258.33/258.82 Deletedinuse: 91
% 258.33/258.82
% 258.33/258.82 Resimplifying inuse:
% 258.33/258.82 Done
% 258.33/258.82
% 258.33/258.82
% 258.33/258.82 Intermediate Status:
% 258.33/258.82 Generated: 1139831
% 258.33/258.82 Kept: 194181
% 258.33/258.82 Inuse: 2205
% 258.33/258.82 Deleted: 5520
% 258.33/258.82 Deletedinuse: 92
% 258.33/258.82
% 258.33/258.82 Resimplifying inuse:
% 258.33/258.82 Done
% 258.33/258.82
% 258.33/258.82
% 258.33/258.82 Intermediate Status:
% 258.33/258.82 Generated: 1160198
% 258.33/258.82 Kept: 198963
% 258.33/258.82 Inuse: 2215
% 258.33/258.82 Deleted: 5522
% 258.33/258.82 Deletedinuse: 94
% 258.33/258.82
% 258.33/258.82 Resimplifying inuse:
% 258.33/258.82 Done
% 258.33/258.82
% 258.33/258.82
% 258.33/258.82 Intermediate Status:
% 258.33/258.82 Generated: 1181700
% 258.33/258.82 Kept: 203614
% 258.33/258.82 Inuse: 2225
% 258.33/258.82 Deleted: 5523
% 258.33/258.82 Deletedinuse: 95
% 258.33/258.82
% 258.33/258.82 Resimplifying inuse:
% 258.33/258.82 Done
% 258.33/258.82
% 258.33/258.82 Resimplifying inuse:
% 258.33/258.82 Done
% 258.33/258.82
% 258.33/258.82
% 258.33/258.82 Intermediate Status:
% 258.33/258.82 Generated: 1191221
% 258.33/258.82 Kept: 206078
% 258.33/258.82 Inuse: 2245
% 258.33/258.82 Deleted: 5526
% 258.33/258.82 Deletedinuse: 98
% 258.33/258.82
% 300.07/300.58 Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------