TSTP Solution File: SCT039-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SCT039-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Mon Jul 18 21:00:44 EDT 2022
% Result : Timeout 300.03s 300.52s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SCT039-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.14 % Command : bliksem %s
% 0.14/0.36 % Computer : n020.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % DateTime : Sat Jul 2 06:38:00 EDT 2022
% 0.14/0.36 % CPUTime :
% 1.00/1.37 *** allocated 10000 integers for termspace/termends
% 1.00/1.37 *** allocated 10000 integers for clauses
% 1.00/1.37 *** allocated 10000 integers for justifications
% 1.00/1.37 *** allocated 15000 integers for termspace/termends
% 1.00/1.37 *** allocated 22500 integers for termspace/termends
% 1.00/1.37 Bliksem 1.12
% 1.00/1.37
% 1.00/1.37
% 1.00/1.37 Automatic Strategy Selection
% 1.00/1.37
% 1.00/1.37 Clauses:
% 1.00/1.37 [
% 1.00/1.37 [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 1.00/1.37 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 1.00/1.37 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ),
% 1.00/1.37 'tc_bool' ) ) ) ],
% 1.00/1.37 [ 'c_Relation_Osym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 1.00/1.37 , 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Osym'(
% 1.00/1.37 Y, Z ) ), ~( 'c_Relation_Osym'( X, Z ) ) ],
% 1.00/1.37 [ =( 'c_Relation_ODomain'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, T ), U,
% 1.00/1.37 'tc_prod'( Z, T ) ), Z, T ), 'c_Set_Oinsert'( X, 'c_Relation_ODomain'( U
% 1.00/1.37 , Z, T ), Z ) ) ],
% 1.00/1.37 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z,
% 1.00/1.37 X, T ), Y ) ) ) ],
% 1.00/1.37 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 1.00/1.37 'c_Set_Oinsert'( X, Y, Z ) ) ],
% 1.00/1.37 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 1.00/1.37 , Z ), 'c_Set_Oinsert'( X, T, Z ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.00/1.37 'c_Set_Oinsert'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 1.00/1.37 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 1.00/1.37 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 1.00/1.37 'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 1.00/1.37 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 1.00/1.37 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.37 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 1.00/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 1.00/1.37 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.00/1.37 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 1.00/1.37 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.37 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ),
% 1.00/1.37 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 1.00/1.37 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 1.00/1.37 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 1.00/1.37 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X
% 1.00/1.37 , X ), 'tc_bool' ) ), Y, 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' ) ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.00/1.37 ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 1.00/1.37 [ =( 'c_Relation_Orel__comp'( X, 'c_Orderings_Obot__class_Obot'(
% 1.00/1.37 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ), T, Y, Z ),
% 1.00/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( T, Z ), 'tc_bool' )
% 1.00/1.37 ) ) ],
% 1.00/1.37 [ =( 'c_Relation_Orel__comp'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.00/1.37 'tc_prod'( X, Y ), 'tc_bool' ) ), Z, X, Y, T ),
% 1.00/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, T ), 'tc_bool' )
% 1.00/1.37 ) ) ],
% 1.00/1.37 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oinsert'( Y
% 1.00/1.37 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 1.00/1.37 'tc_bool' ) ), T ) ) ],
% 1.00/1.37 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X, Y
% 1.00/1.37 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 1.00/1.37 'tc_bool' ) ), Z ) ) ],
% 1.00/1.37 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.37 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 1.00/1.37 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 1.00/1.37 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'(
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 1.00/1.37 Y, Y ), 'tc_bool' ) ), Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ ~( =( hAPP( 'c_snd'( X, Y ), Z ), hAPP( 'c_snd'( X, Y ), T ) ) ), ~(
% 1.00/1.37 =( hAPP( 'c_fst'( X, Y ), Z ), hAPP( 'c_fst'( X, Y ), T ) ) ), =( Z, T )
% 1.00/1.37 ],
% 1.00/1.37 [ ~( =( hAPP( 'c_snd'( X, Y ), Z ), hAPP( 'c_snd'( X, Y ), T ) ) ), ~(
% 1.00/1.37 =( hAPP( 'c_fst'( X, Y ), Z ), hAPP( 'c_fst'( X, Y ), T ) ) ), =( Z, T )
% 1.00/1.37 ],
% 1.00/1.37 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 1.00/1.37 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1'( X, Z, T ) ) ) ),
% 1.00/1.37 ~( 'c_Wellfounded_Owf'( Z, T ) ) ],
% 1.00/1.37 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Relation_ORange'( X,
% 1.00/1.37 Y, Z ), 'c_Relation_ORange'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.00/1.37 'c_Relation_ORange'( 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'(
% 1.00/1.37 'tc_prod'( Y, Z ), 'tc_bool' ) ), Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 1.00/1.37 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.00/1.37 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 1.00/1.37 'c_Set_Oinsert'( T, X, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.37 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 1.00/1.37 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'(
% 1.00/1.37 Z, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 1.00/1.37 [ 'c_lessequals'( 'c_Product__Type_OSigma'( X, 'c_COMBK'( Y, 'tc_fun'( Z
% 1.00/1.37 , 'tc_bool' ), T ), T, Z ), 'c_Product__Type_OSigma'( U, 'c_COMBK'( Y,
% 1.00/1.37 'tc_fun'( Z, 'tc_bool' ), T ), T, Z ), 'tc_fun'( 'tc_prod'( T, Z ),
% 1.00/1.37 'tc_bool' ) ), ~( 'c_lessequals'( X, U, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 1.00/1.37 hBOOL( 'c_in'( W, Y, Z ) ) ) ],
% 1.00/1.37 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 1.00/1.37 'c_Product__Type_OSigma'( X, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 1.00/1.37 , Z, U ), 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U,
% 1.00/1.37 'tc_bool' ), Z ), Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ),
% 1.00/1.37 ~( hBOOL( 'c_in'( W, T, U ) ) ) ],
% 1.00/1.37 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 1.00/1.37 ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~( 'c_lessequals'(
% 1.00/1.37 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 1.00/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 1.00/1.37 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.00/1.37 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 1.00/1.37 ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~( 'c_lessequals'(
% 1.00/1.37 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 1.00/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 1.00/1.37 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.00/1.37 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 1.00/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 1.00/1.37 Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, X,
% 1.00/1.37 Z ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y, T, Z ), 'tc_fun'( Z,
% 1.00/1.37 'tc_bool' ) ) ) ],
% 1.00/1.37 [ 'c_lessequals'( 'c_Transitive__Closure_Otrancl'( X, Y ), Z, 'tc_fun'(
% 1.00/1.37 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 1.00/1.37 'c_Relation_Orel__comp'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.37 'c_Transitive__Closure_Otrancl'( X, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y ),
% 1.00/1.37 'tc_bool' ) ), X, Y, Y, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' )
% 1.00/1.37 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) )
% 1.00/1.37 ) ],
% 1.00/1.37 [ =( 'c_Product__Type_OSigma'(
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.00/1.37 'tc_bool' ) ), T, Z, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.37 'c_Product__Type_OSigma'( X, T, Z, U ), 'c_Product__Type_OSigma'( Y, T, Z
% 1.00/1.37 , U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 1.00/1.37 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z
% 1.00/1.37 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 1.00/1.37 ) ) ), =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 1.00/1.37 , X ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP(
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 't_a', X )
% 1.00/1.37 ), 'v_x' ), 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( Y, 'v_x'
% 1.00/1.37 ), hAPP( Z, 'v_x' ), X ) ) ],
% 1.00/1.37 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Relation_ODomain'( X
% 1.00/1.37 , Y, Z ), 'c_Relation_ODomain'( T, Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ),
% 1.00/1.37 'c_Relation_ODomain'( 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'(
% 1.00/1.37 'tc_prod'( Y, Z ), 'tc_bool' ) ), Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.00/1.37 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 1.00/1.37 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 1.00/1.37 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.37 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 1.00/1.37 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 1.00/1.37 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 1.00/1.37 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 1.00/1.37 [ 'c_lessequals'( 'c_Relation_OId__on'( X, Y ), 'c_Product__Type_OSigma'(
% 1.00/1.37 X, 'c_COMBK'( X, 'tc_fun'( Y, 'tc_bool' ), Y ), Y, Y ), 'tc_fun'(
% 1.00/1.37 'tc_prod'( Y, Y ), 'tc_bool' ) ) ],
% 1.00/1.37 [ 'c_lessequals'( X, 'c_Product__Type_OSigma'( Y, 'c_COMBK'( Y, 'tc_fun'(
% 1.00/1.37 Z, 'tc_bool' ), Z ), Z, Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ),
% 1.00/1.37 ~( 'c_Relation_Orefl__on'( Y, X, Z ) ) ],
% 1.00/1.37 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X, 'tc_fun'( Y,
% 1.00/1.37 'tc_bool' ) ), X ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 1.00/1.37 [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 1.00/1.37 'c_Relation_Orel__comp'( W, V0, Z, T, U ), 'tc_fun'( 'tc_prod'( Z, U ),
% 1.00/1.37 'tc_bool' ) ), ~( 'c_lessequals'( Y, V0, 'tc_fun'( 'tc_prod'( T, U ),
% 1.00/1.37 'tc_bool' ) ) ), ~( 'c_lessequals'( X, W, 'tc_fun'( 'tc_prod'( Z, T ),
% 1.00/1.37 'tc_bool' ) ) ) ],
% 1.00/1.37 [ =( 'c_Relation_OImage'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.37 X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), U, Z, T ),
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_OImage'( X, U,
% 1.00/1.37 Z, T ), 'c_Relation_OImage'( Y, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ =( 'c_Relation_OImage'( X,
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 1.00/1.37 'tc_bool' ) ), T, U ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.37 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 1.00/1.37 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 1.00/1.37 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 1.00/1.37 'c_List_Osko__Recdef__Xtfl__wf__induct__1__1'( X, Z, T ) ) ) ), ~(
% 1.00/1.37 'c_Wellfounded_Owf'( Z, T ) ) ],
% 1.00/1.37 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ),
% 1.00/1.37 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 1.00/1.37 [ =( X, 'c_Pair'( hAPP( 'c_fst'( Y, Z ), X ), hAPP( 'c_snd'( Y, Z ), X )
% 1.00/1.37 , Y, Z ) ) ],
% 1.00/1.37 [ =( 'c_Pair'( hAPP( 'c_fst'( X, Y ), Z ), hAPP( 'c_snd'( X, Y ), Z ), X
% 1.00/1.37 , Y ), Z ) ],
% 1.00/1.37 [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 1.00/1.37 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.00/1.37 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.00/1.37 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.37 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.00/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.00/1.37 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 1.00/1.37 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ],
% 1.00/1.37 [ 'c_lessequals'( 'c_Relation_OImage'( X, Y, Z, T ), U, 'tc_fun'( T,
% 1.00/1.37 'tc_bool' ) ), ~( 'c_lessequals'( X, 'c_Product__Type_OSigma'( W,
% 1.00/1.37 'c_COMBK'( U, 'tc_fun'( T, 'tc_bool' ), Z ), Z, T ), 'tc_fun'( 'tc_prod'(
% 1.00/1.37 Z, T ), 'tc_bool' ) ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.00/1.37 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.00/1.37 , T, X ) ) ), =( Y, Z ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.00/1.37 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.00/1.37 , T, X ) ) ), =( Z, T ) ],
% 1.00/1.37 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X, Y, Z
% 1.00/1.37 , T ), 'c_Set_Oimage'( X, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 1.00/1.37 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, U, 'tc_fun'( Z,
% 1.00/1.37 'tc_bool' ) ), Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ],
% 1.00/1.37 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 1.00/1.37 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 1.00/1.37 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.00/1.37 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.00/1.37 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 1.00/1.37 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 1.00/1.37 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.00/1.37 'tc_bool' ) ), X ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 1.00/1.37 ],
% 1.00/1.37 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.00/1.37 'tc_bool' ) ), Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 1.00/1.37 ],
% 1.00/1.37 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~(
% 1.00/1.37 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ),
% 1.00/1.37 'c_lessequals'( Y, Z, X ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 1.00/1.37 'c_lessequals'( Z, Y, X ) ) ],
% 1.00/1.37 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 1.00/1.37 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 1.00/1.37 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 1.00/1.37 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.37 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X
% 1.00/1.37 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 1.00/1.37 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 1.00/1.37 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 1.00/1.37 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 1.00/1.37 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 1.00/1.37 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 1.00/1.37 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 1.00/1.37 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 1.00/1.37 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 1.00/1.37 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 1.00/1.37 [ 'c_lessequals'( 'c_Relation_ODomain'(
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'(
% 1.00/1.37 Z, T ), 'tc_bool' ) ), Z, T ),
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_ODomain'( X, Z
% 1.00/1.37 , T ), 'c_Relation_ODomain'( Y, Z, T ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.00/1.37 'tc_fun'( Z, 'tc_bool' ) ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.00/1.37 'c_Orderings_Obot__class_Obot'( X ), X ), 'c_Orderings_Obot__class_Obot'(
% 1.00/1.37 X ) ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.37 'c_Orderings_Obot__class_Obot'( X ), Y, X ),
% 1.00/1.37 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.00/1.37 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 1.00/1.37 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.00/1.37 ) ) ) ],
% 1.00/1.37 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.00/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 1.00/1.37 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.00/1.37 ) ],
% 1.00/1.37 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, X, Z ), 'tc_fun'( Z, 'tc_bool'
% 1.00/1.37 ) ) ],
% 1.00/1.37 [ 'c_lessequals'( 'c_Set_Oimage'( X,
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 1.00/1.37 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.37 'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U,
% 1.00/1.37 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 1.00/1.37 [ 'c_lessequals'( 'c_Relation_OImage'( X,
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 1.00/1.37 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.37 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 1.00/1.37 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 1.00/1.37 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.00/1.37 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 1.00/1.37 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_lessequals'( T, X,
% 1.00/1.37 'tc_fun'( Z, 'tc_bool' ) ) ],
% 1.00/1.37 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.00/1.37 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 1.00/1.37 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( T, X,
% 1.00/1.37 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.37 [ =( 'c_Product__Type_OSigma'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.00/1.37 'tc_fun'( Z, 'tc_bool' ) ), T, Z, U ), 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.37 'c_Product__Type_OSigma'( X, T, Z, U ), 'c_Product__Type_OSigma'( Y, T, Z
% 1.00/1.37 , U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 1.00/1.37 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Obot__class_Obot'(
% 1.00/1.37 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 1.00/1.37 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y, 'tc_bool' ) ),
% 1.00/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.00/1.37 [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 1.00/1.37 'c_Product__Type_OSigma'( W, 'c_COMBK'( V0, 'tc_fun'( U, 'tc_bool' ), Z )
% 1.00/1.37 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 1.00/1.37 Y, 'c_Product__Type_OSigma'( V1, 'c_COMBK'( V0, 'tc_fun'( U, 'tc_bool' )
% 1.00/1.37 , T ), T, U ), 'tc_fun'( 'tc_prod'( T, U ), 'tc_bool' ) ) ), ~(
% 1.00/1.37 'c_lessequals'( X, 'c_Product__Type_OSigma'( W, 'c_COMBK'( V1, 'tc_fun'(
% 1.00/1.37 T, 'tc_bool' ), Z ), Z, T ), 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ) )
% 1.00/1.37 ],
% 1.00/1.37 [ 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.00/1.37 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_lessequals'(
% 1.00/1.37 'c_Relation_Orel__comp'( X, Y, Z, Z, Z ), X, 'tc_fun'( 'tc_prod'( Z, Z )
% 1.00/1.37 , 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Y, Z ) ), ~(
% 1.00/1.37 'c_Wellfounded_Owf'( X, Z ) ) ],
% 1.00/1.37 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP(
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T,
% 1.00/1.37 'tc_bool' ) ), Y ) ) ) ],
% 1.00/1.37 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 1.00/1.37 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ],
% 1.00/1.37 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 1.00/1.37 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 1.00/1.37 [ =( 'c_Product__Type_OSigma'(
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.00/1.37 'tc_bool' ) ), 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Product__Type_OSigma'( X
% 1.00/1.37 , 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 1.00/1.37 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 1.00/1.37 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 1.00/1.37 [ 'c_Relation_Orefl__on'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.37 X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( T, U, 'tc_fun'( 'tc_prod'(
% 1.00/1.37 Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ), ~(
% 1.00/1.37 'c_Relation_Orefl__on'( X, T, Z ) ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 1.00/1.37 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.00/1.37 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 1.00/1.37 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.37 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 1.00/1.37 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 1.00/1.37 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.00/1.37 'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.37 'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ],
% 1.00/1.37 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 1.00/1.37 X, 'tc_bool' ) ), Y ) ],
% 1.00/1.37 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.00/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 1.00/1.37 'tc_bool' ) ), X ) ],
% 1.00/1.37 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Obot__class_Obot'(
% 1.00/1.37 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ),
% 1.00/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.00/1.37 [ =( 'c_Product__Type_OSigma'( 'c_Set_Oinsert'( X, Y, Z ), 'c_COMBK'(
% 1.00/1.37 'c_Set_Oinsert'( T, U, W ), 'tc_fun'( W, 'tc_bool' ), Z ), Z, W ),
% 1.00/1.37 'c_Set_Oinsert'( 'c_Pair'( X, T, Z, W ),
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Product__Type_OSigma'( Y
% 1.00/1.37 , 'c_COMBK'( 'c_Set_Oinsert'( T, U, W ), 'tc_fun'( W, 'tc_bool' ), Z ), Z
% 1.00/1.37 , W ), 'c_Product__Type_OSigma'( 'c_Set_Oinsert'( X, Y, Z ), 'c_COMBK'( U
% 1.00/1.37 , 'tc_fun'( W, 'tc_bool' ), Z ), Z, W ), 'tc_fun'( 'tc_prod'( Z, W ),
% 1.00/1.37 'tc_bool' ) ), 'tc_prod'( Z, W ) ) ) ],
% 1.00/1.37 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.00/1.37 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 1.00/1.37 T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 1.00/1.37 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 1.00/1.37 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.00/1.37 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.37 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), T,
% 1.00/1.37 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 1.00/1.37 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 1.00/1.37 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.37 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 1.00/1.37 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), =( T
% 1.00/1.37 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.37 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 1.00/1.37 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Z, 'tc_bool'
% 1.00/1.37 ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( U, Y, 'tc_fun'( Z,
% 1.00/1.37 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ 'c_Relation_Otrans'( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.00/1.37 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 1.00/1.37 'c_Relation_Otrans'( Y, Z ) ), ~( 'c_Relation_Otrans'( X, Z ) ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), X ) ],
% 1.00/1.37 [ =( 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.00/1.37 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y,
% 1.00/1.37 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.00/1.37 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.00/1.37 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ],
% 1.00/1.37 [ ~( =( 'c_Relation_Orel__comp'( X, Y, Z, Z, Z ),
% 1.00/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 1.00/1.37 ) ) ), ~( =( 'c_Relation_Orel__comp'( T, Y, Z, Z, Z ),
% 1.00/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 1.00/1.37 ) ) ), =( 'c_Relation_Orel__comp'(
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( 'tc_prod'(
% 1.00/1.37 Z, Z ), 'tc_bool' ) ), Y, Z, Z, Z ), 'c_Orderings_Obot__class_Obot'(
% 1.00/1.37 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) ) ],
% 1.00/1.37 [ ~( =( 'c_Relation_Orel__comp'( X, Y, Z, Z, Z ),
% 1.00/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 1.00/1.37 ) ) ), ~( =( 'c_Relation_Orel__comp'( X, T, Z, Z, Z ),
% 1.00/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 1.00/1.37 ) ) ), =( 'c_Relation_Orel__comp'( X,
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 'tc_fun'( 'tc_prod'(
% 1.00/1.37 Z, Z ), 'tc_bool' ) ), Z, Z, Z ), 'c_Orderings_Obot__class_Obot'(
% 1.00/1.37 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) ) ],
% 1.00/1.37 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 1.00/1.37 'c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1'( X, Z, T ) ) ) ), ~(
% 1.00/1.37 'c_Wellfounded_Owf'( Z, T ) ) ],
% 1.00/1.37 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_Wellfounded_Oacyclic'(
% 1.00/1.37 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 1.00/1.37 [ 'c_Wellfounded_Oacyclic'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 1.00/1.37 'c_Wellfounded_Oacyclic'( X, Y ) ) ],
% 1.00/1.37 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 1.00/1.37 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.37 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 1.00/1.37 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.00/1.37 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.00/1.37 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.37 [ =( hAPP( 'c_split'( X, Y, Z, T ), U ), hAPP( hAPP( X, hAPP( 'c_fst'( Y
% 1.00/1.37 , Z ), U ) ), hAPP( 'c_snd'( Y, Z ), U ) ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 1.00/1.37 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ],
% 1.00/1.37 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.37 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.00/1.37 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), X ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~(
% 1.00/1.37 'c_lessequals'( Z, Y, X ) ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ),
% 1.00/1.37 'c_lessequals'( Y, Z, X ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~(
% 1.00/1.37 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.37 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.00/1.37 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 1.00/1.37 ],
% 1.00/1.37 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.00/1.37 'tc_bool' ) ), X ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 1.00/1.37 ],
% 1.00/1.37 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 1.00/1.37 , 'tc_bool' ) ), Y ) ), 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 1.00/1.37 ],
% 1.00/1.37 [ 'c_Relation_Orefl__on'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.37 X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( T, U, 'tc_fun'( 'tc_prod'(
% 1.00/1.37 Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ), ~(
% 1.00/1.37 'c_Relation_Orefl__on'( X, T, Z ) ) ],
% 1.00/1.37 [ 'c_Relation_Oantisym'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.00/1.37 'tc_prod'( X, X ), 'tc_bool' ) ), X ) ],
% 1.00/1.37 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.00/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.00/1.37 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 1.00/1.37 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ],
% 1.00/1.37 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.00/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.00/1.37 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 1.00/1.37 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 1.00/1.37 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.00/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.00/1.37 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 1.00/1.37 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ],
% 1.00/1.37 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.00/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.00/1.37 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 1.00/1.37 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ],
% 1.00/1.37 [ 'c_lessequals'( 'c_Transitive__Closure_Otrancl'( X, Y ),
% 1.00/1.37 'c_Product__Type_OSigma'( Z, 'c_COMBK'( Z, 'tc_fun'( Y, 'tc_bool' ), Y )
% 1.00/1.37 , Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 1.00/1.37 X, 'c_Product__Type_OSigma'( Z, 'c_COMBK'( Z, 'tc_fun'( Y, 'tc_bool' ), Y
% 1.00/1.37 ), Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 1.00/1.37 [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 1.00/1.37 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 1.00/1.37 'tc_bool' ) ), ~( 'c_lessequals'( X, 'c_Transitive__Closure_Ortrancl'( Z
% 1.00/1.37 , Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 1.00/1.37 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 1.00/1.37 ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.00/1.37 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.00/1.37 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.00/1.37 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.00/1.37 'tc_fun'( X, 'tc_bool' ) ) ],
% 1.00/1.37 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.00/1.37 'c_Set_Oinsert'( Y, Z, X ) ) ) ],
% 1.00/1.37 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 1.00/1.37 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 1.00/1.37 'tc_bool' ) ), Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 1.00/1.37 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 1.00/1.37 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 1.00/1.37 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ) ],
% 1.00/1.37 [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ),
% 1.00/1.37 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ],
% 1.00/1.37 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 1.00/1.37 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.37 T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 1.00/1.37 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 1.00/1.37 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.37 [ =( 'c_Relation_Oconverse'(
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( 'tc_prod'(
% 1.00/1.37 Z, T ), 'tc_bool' ) ), Z, T ),
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Oconverse'( X,
% 1.00/1.37 Z, T ), 'c_Relation_Oconverse'( Y, Z, T ), 'tc_fun'( 'tc_prod'( T, Z ),
% 1.00/1.37 'tc_bool' ) ) ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 1.00/1.37 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 1.00/1.37 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 1.00/1.37 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 1.00/1.37 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 1.00/1.37 'tc_fun'( Z, 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 1.00/1.37 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 1.00/1.37 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 1.00/1.37 [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 1.00/1.37 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 1.00/1.37 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 1.00/1.37 , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.00/1.37 [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 1.00/1.37 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 1.00/1.37 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 1.00/1.37 , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.00/1.37 [ =( 'c_Product__Type_OSigma'(
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.00/1.37 'tc_bool' ) ), 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Product__Type_OSigma'( X
% 1.00/1.37 , 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 1.00/1.37 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 1.00/1.37 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 1.00/1.37 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 1.00/1.37 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( T,
% 1.00/1.37 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z,
% 1.00/1.37 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.00/1.37 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.00/1.37 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 1.00/1.37 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 1.00/1.37 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.37 [ 'c_Relation_Otrans'( X, Y ), ~(
% 1.00/1.37 'c_Order__Relation_Ostrict__linear__order__on'( Z, X, Y ) ) ],
% 1.00/1.37 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 1.00/1.37 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool'
% 1.00/1.37 ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL(
% 1.00/1.37 'c_in'( X, T, Z ) ) ) ],
% 1.00/1.37 [ =( 'c_Product__Type_OSigma'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.00/1.37 'tc_fun'( Z, 'tc_bool' ) ), 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ),
% 1.00/1.37 Z, U ), 'c_HOL_Ominus__class_Ominus'( 'c_Product__Type_OSigma'( X,
% 1.00/1.37 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 1.00/1.37 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 1.00/1.37 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 1.00/1.37 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.00/1.37 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.00/1.37 'tc_bool' ) ) ) ],
% 1.00/1.37 [ 'c_lessequals'( 'c_Relation_OField'( X, Y ), 'c_Relation_OField'( Z, Y
% 1.00/1.37 ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'(
% 1.00/1.37 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 1.00/1.37 [ =( 'c_Relation_ORange'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.37 X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), Z, T ),
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ORange'( X, Z,
% 1.00/1.37 T ), 'c_Relation_ORange'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.00/1.37 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.00/1.37 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X,
% 1.00/1.37 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 1.00/1.37 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_Wellfounded_Owf'( X, Y ) ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.00/1.37 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 1.00/1.37 Z, 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' )
% 1.00/1.37 ) ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ),
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), X ) ],
% 1.00/1.37 [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 1.00/1.37 'c_Transitive__Closure_Ortrancl'( Z, Y ) ), ~( 'c_lessequals'( X,
% 1.00/1.37 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 1.00/1.37 'tc_bool' ) ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( 'tc_prod'( Y, Y ),
% 1.00/1.37 'tc_bool' ) ) ) ],
% 1.00/1.37 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 1.00/1.37 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 1.00/1.37 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 1.00/1.37 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.00/1.37 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X,
% 1.00/1.37 Y, Z ) ) ],
% 1.00/1.37 [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 1.00/1.37 , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 1.00/1.37 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X, Z ) ],
% 1.00/1.37 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.00/1.37 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 1.00/1.37 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( T, X, 'tc_fun'( Z,
% 1.00/1.37 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.00/1.37 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 1.00/1.37 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 1.00/1.37 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.37 [ =( 'c_Relation_OField'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, Z ), T,
% 1.00/1.37 'tc_prod'( Z, Z ) ), Z ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.37 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 1.00/1.37 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 'c_Relation_OField'( T, Z ),
% 1.00/1.37 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.37 [ =( 'c_Relation_OField'( 'c_Relation_Oconverse'( X, Y, Y ), Y ),
% 1.00/1.37 'c_Relation_OField'( X, Y ) ) ],
% 1.00/1.37 [ 'c_Wellfounded_Owf'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.00/1.37 'tc_prod'( X, X ), 'tc_bool' ) ), X ) ],
% 1.00/1.37 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( 'c_Set_Oinsert'( X, T,
% 1.00/1.37 Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.37 [ =( 'c_Product__Type_OSigma'(
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.00/1.37 'tc_bool' ) ), T, Z, U ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.37 'c_Product__Type_OSigma'( X, T, Z, U ), 'c_Product__Type_OSigma'( Y, T, Z
% 1.00/1.37 , U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 1.00/1.37 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 1.00/1.37 ) ) ],
% 1.00/1.37 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 1.00/1.37 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL(
% 1.00/1.37 'c_in'( Y, X, T ) ) ],
% 1.00/1.37 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( 'c_in'( T, X
% 1.00/1.37 , Z ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z,
% 1.00/1.37 'tc_bool' ) ) ) ],
% 1.00/1.37 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 1.00/1.37 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL(
% 1.00/1.37 'c_in'( Y, X, T ) ) ],
% 1.00/1.37 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 1.00/1.37 , 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), hBOOL( 'c_in'(
% 1.00/1.37 T, X, Z ) ) ],
% 1.00/1.37 [ =( 'c_Relation_Oconverse'(
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'(
% 1.00/1.37 Z, T ), 'tc_bool' ) ), Z, T ),
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_Oconverse'( X,
% 1.00/1.37 Z, T ), 'c_Relation_Oconverse'( Y, Z, T ), 'tc_fun'( 'tc_prod'( T, Z ),
% 1.00/1.37 'tc_bool' ) ) ) ],
% 1.00/1.37 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 1.00/1.37 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 1.00/1.37 'tc_bool' ) ) ), hBOOL( 'c_in'( Y, X, T ) ) ],
% 1.00/1.37 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 1.00/1.37 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 1.00/1.37 'tc_bool' ) ) ), hBOOL( 'c_in'( X, T, Z ) ) ],
% 1.00/1.37 [ 'c_Relation_Ototal__on'( X, Y, Z ), ~(
% 1.00/1.37 'c_Order__Relation_Ostrict__linear__order__on'( X, Y, Z ) ) ],
% 1.00/1.37 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 1.00/1.37 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 1.00/1.37 ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.00/1.37 ) ],
% 1.00/1.37 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 1.00/1.37 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 1.00/1.37 ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.00/1.37 ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.00/1.37 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 1.00/1.37 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.00/1.37 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 1.00/1.37 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.00/1.37 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.37 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 1.00/1.37 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.37 X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.37 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.00/1.37 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 1.00/1.37 Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 1.00/1.37 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.37 [ =( 'c_Relation_Orel__comp'(
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( 'tc_prod'(
% 1.00/1.37 Z, T ), 'tc_bool' ) ), U, Z, T, W ),
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 1.00/1.37 , U, Z, T, W ), 'c_Relation_Orel__comp'( Y, U, Z, T, W ), 'tc_fun'(
% 1.00/1.37 'tc_prod'( Z, W ), 'tc_bool' ) ) ) ],
% 1.00/1.37 [ =( 'c_Relation_Orel__comp'( X,
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'(
% 1.00/1.37 T, U ), 'tc_bool' ) ), W, T, U ),
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 1.00/1.37 , Y, W, T, U ), 'c_Relation_Orel__comp'( X, Z, W, T, U ), 'tc_fun'(
% 1.00/1.37 'tc_prod'( W, U ), 'tc_bool' ) ) ) ],
% 1.00/1.37 [ =( 'c_Relation_OField'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.37 X, Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ),
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_OField'( X, Z )
% 1.00/1.37 , 'c_Relation_OField'( Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.37 [ ~( 'class_HOL_Ominus'( X ) ), =( hAPP( 'c_HOL_Ominus__class_Ominus'( Y
% 1.00/1.37 , Z, 'tc_fun'( 't_a', X ) ), 'v_x' ), 'c_HOL_Ominus__class_Ominus'( hAPP(
% 1.00/1.37 Y, 'v_x' ), hAPP( Z, 'v_x' ), X ) ) ],
% 1.00/1.37 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 1.00/1.37 , 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 1.00/1.37 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.37 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 1.00/1.37 , 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 1.00/1.37 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.00/1.37 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.37 Z, T, X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.00/1.37 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.37 T, Z, X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 1.00/1.37 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 1.00/1.37 'c_lessequals'( Z, T, X ) ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.00/1.37 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.37 Z, T, X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.00/1.37 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.37 T, Z, X ), X ) ) ],
% 1.00/1.37 [ =( 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.00/1.37 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.37 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.00/1.37 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 1.00/1.37 Z, 'tc_bool' ) ) ) ],
% 1.00/1.37 [ =( 'c_Relation_OField'( 'v_r', 't_a' ),
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ODomain'( 'v_r'
% 1.00/1.37 , 't_a', 't_a' ), 'c_Relation_ORange'( 'v_r', 't_a', 't_a' ), 'tc_fun'(
% 1.00/1.37 't_a', 'tc_bool' ) ) ) ],
% 1.00/1.37 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.00/1.37 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X,
% 1.00/1.37 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 1.00/1.37 [ =( 'c_Relation_ODomain'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.37 X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), Z, T ),
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ODomain'( X, Z
% 1.00/1.37 , T ), 'c_Relation_ODomain'( Y, Z, T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ =( 'c_Set_Oinsert'( X, Y, Z ),
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X,
% 1.00/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y,
% 1.00/1.37 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.37 [ 'c_lessequals'( 'c_Wellfounded_Oacc'( X, Y ), 'c_Wellfounded_Oacc'( Z
% 1.00/1.37 , Y ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'(
% 1.00/1.37 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 1.00/1.37 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.00/1.37 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.00/1.37 'tc_bool' ) ) ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 1.00/1.37 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.00/1.37 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 1.00/1.37 Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 1.00/1.37 ) ) ) ],
% 1.00/1.37 [ 'c_lessequals'( 'c_Relation_ORange'(
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'(
% 1.00/1.37 Z, T ), 'tc_bool' ) ), Z, T ),
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_ORange'( X, Z,
% 1.00/1.37 T ), 'c_Relation_ORange'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 1.00/1.37 T, 'tc_bool' ) ) ],
% 1.00/1.37 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 1.00/1.37 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1'( X, Z, T ) ) )
% 1.00/1.37 ), ~( 'c_Wellfounded_Owf'( Z, T ) ) ],
% 1.00/1.37 [ =( 'c_Relation_OField'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.00/1.37 'tc_prod'( X, X ), 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'(
% 1.00/1.37 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.00/1.37 [ =( 'c_Transitive__Closure_Ortrancl'(
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.37 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 1.00/1.37 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 1.00/1.37 'tc_bool' ) ), Y ), 'c_Transitive__Closure_Ortrancl'(
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 1.00/1.37 Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 1.00/1.37 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 1.00/1.37 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 1.00/1.37 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ),
% 1.00/1.37 hBOOL( 'c_in'( X, T, Z ) ) ],
% 1.00/1.37 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 1.00/1.37 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 1.00/1.37 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 1.00/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 1.00/1.37 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.00/1.37 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X, 'tc_fun'( T,
% 1.00/1.37 'tc_bool' ) ), Y ) ) ) ],
% 1.00/1.37 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 1.00/1.37 'tc_bool' ) ), Y ) ) ) ],
% 1.00/1.37 [ =( 'c_Relation_ORange'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, T ), U,
% 1.00/1.37 'tc_prod'( Z, T ) ), Z, T ), 'c_Set_Oinsert'( Y, 'c_Relation_ORange'( U,
% 1.00/1.37 Z, T ), T ) ) ],
% 1.00/1.37 [ 'c_Relation_Osym'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y
% 1.00/1.37 , 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Osym'(
% 1.00/1.37 Y, Z ) ), ~( 'c_Relation_Osym'( X, Z ) ) ],
% 1.00/1.37 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ),
% 1.00/1.37 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.00/1.37 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Y ), hBOOL( 'c_in'( X, Y
% 1.00/1.37 , Z ) ) ],
% 1.00/1.37 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 1.00/1.37 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X,
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 1.00/1.37 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.37 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z
% 1.00/1.37 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 1.00/1.37 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T,
% 1.00/1.37 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.00/1.37 [ ~( =( hAPP( X, 'c_List_Osko__Recdef__Xcuts__eq__1__1'( X, Y, Z, T, U,
% 1.00/1.37 W ) ), hAPP( Y, 'c_List_Osko__Recdef__Xcuts__eq__1__1'( X, Y, Z, T, U, W
% 1.00/1.37 ) ) ) ), =( 'c_Recdef_Ocut'( X, Z, T, U, W ), 'c_Recdef_Ocut'( Y, Z, T,
% 1.00/1.37 U, W ) ) ],
% 1.00/1.37 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_Wellfounded_Oacyclic'(
% 1.00/1.37 'c_Set_Oinsert'( 'c_Pair'( Z, T, Y, Y ), X, 'tc_prod'( Y, Y ) ), Y ) ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( T, Z )
% 1.00/1.37 , X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ],
% 1.00/1.37 [ hBOOL( 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 1.00/1.37 'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Z, T ) ) ), ~(
% 1.00/1.37 hBOOL( 'c_in'( X, Y, T ) ) ) ],
% 1.00/1.37 [ hBOOL( 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 1.00/1.37 'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Z, T ) ) ), ~(
% 1.00/1.37 hBOOL( 'c_in'( X, Y, T ) ) ) ],
% 1.00/1.37 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ) ), ~( hBOOL( 'c_in'(
% 1.00/1.37 X, Z, T ) ) ) ],
% 1.00/1.37 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ) ), ~( hBOOL( 'c_in'(
% 1.00/1.37 X, Z, T ) ) ) ],
% 1.00/1.37 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 1.00/1.37 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.37 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z,
% 1.00/1.37 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 1.00/1.37 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 1.00/1.37 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.37 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 1.00/1.37 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.37 [ hBOOL( 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 1.00/1.37 'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Y, T ) ) ) ],
% 1.00/1.37 [ hBOOL( 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 1.00/1.37 'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Z, T ) ) ) ],
% 1.00/1.37 [ hBOOL( 'c_in'( X, Y, Z ) ), =( X, T ), ~( hBOOL( 'c_in'( X,
% 1.00/1.37 'c_Set_Oinsert'( T, Y, Z ), Z ) ) ) ],
% 1.00/1.37 [ hBOOL( 'c_in'( X, Y, Z ) ), hBOOL( 'c_in'( X, T, Z ) ), ~( hBOOL(
% 1.00/1.37 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 'tc_fun'(
% 1.00/1.37 Z, 'tc_bool' ) ), Z ) ) ) ],
% 1.00/1.37 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X,
% 1.00/1.37 'c_HOL_Ominus__class_Ominus'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X,
% 1.00/1.37 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 1.00/1.37 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 1.00/1.37 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 1.00/1.37 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X,
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 1.00/1.37 'tc_bool' ) ), Z ) ) ) ],
% 1.00/1.37 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X,
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 1.00/1.37 'tc_bool' ) ), Z ) ) ) ],
% 1.00/1.37 [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 1.00/1.37 'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL( 'c_in'( X, Y
% 1.00/1.37 , T ) ) ) ],
% 1.00/1.37 [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 1.00/1.37 'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL( 'c_in'( X, Y
% 1.00/1.37 , T ) ) ) ],
% 1.00/1.37 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ) ) ),
% 1.00/1.37 hBOOL( 'c_in'( X, T, Z ) ), hBOOL( 'c_in'( X, Y, Z ) ), =( Y, T ) ],
% 1.00/1.37 [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( hBOOL( 'c_in'( X, Y, Z ) ) ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ =( hAPP( 'c_fst'( X, Y ), 'c_Pair'( Z, T, X, Y ) ), Z ) ],
% 1.00/1.37 [ =( X, hAPP( 'c_fst'( Y, Z ), 'c_Pair'( X, T, Y, Z ) ) ) ],
% 1.00/1.37 [ =( hAPP( 'c_snd'( X, Y ), 'c_Pair'( Z, T, X, Y ) ), T ) ],
% 1.00/1.37 [ =( X, hAPP( 'c_snd'( Y, Z ), 'c_Pair'( T, X, Y, Z ) ) ) ],
% 1.00/1.37 [ hBOOL( hAPP( X, hAPP( 'c_fst'( Y, Z ), 'c_Pair'( T, U, Y, Z ) ) ) ),
% 1.00/1.37 ~( hBOOL( hAPP( W, U ) ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 1.00/1.37 [ hBOOL( hAPP( X, hAPP( 'c_snd'( Y, Z ), 'c_Pair'( T, U, Y, Z ) ) ) ),
% 1.00/1.37 ~( hBOOL( hAPP( X, U ) ) ), ~( hBOOL( hAPP( W, T ) ) ) ],
% 1.00/1.37 [ 'c_Wellfounded_Owf'( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.00/1.37 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 1.00/1.37 'c_Wellfounded_Owf'( X, Z ) ) ],
% 1.00/1.37 [ 'c_Wellfounded_Owf'( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.00/1.37 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 1.00/1.37 'c_Wellfounded_Owf'( Y, Z ) ) ],
% 1.00/1.37 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 1.00/1.37 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.00/1.37 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y ), ~( hBOOL(
% 1.00/1.37 'c_in'( X, Y, Z ) ) ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 1.00/1.37 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X, 'tc_fun'( Y,
% 1.00/1.37 'tc_bool' ) ), X ) ],
% 1.00/1.37 [ =( 'c_Relation_OField'( X, Y ),
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ODomain'( X, Y
% 1.00/1.37 , Y ), 'c_Relation_ORange'( X, Y, Y ), 'tc_fun'( Y, 'tc_bool' ) ) ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.00/1.37 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 1.00/1.37 Y, X ), Z, X ) ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.00/1.37 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.00/1.37 T, X ), Z, X ) ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 1.00/1.37 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 1.00/1.37 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.00/1.37 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 1.00/1.37 Y, X ), Z, X ) ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.00/1.37 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.00/1.37 T, X ), Z, X ) ) ],
% 1.00/1.37 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 1.00/1.37 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.37 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 1.00/1.37 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP(
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( 't_a', X )
% 1.00/1.37 ), 'v_x' ), 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( Y, 'v_x'
% 1.00/1.37 ), hAPP( Z, 'v_x' ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.00/1.37 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.00/1.37 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.37 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 1.00/1.37 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 1.00/1.37 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( T
% 1.00/1.37 , Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 1.00/1.37 'tc_bool' ) ) ) ],
% 1.00/1.37 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( 'c_lessequals'(
% 1.00/1.37 Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.00/1.37 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'(
% 1.00/1.37 'tc_prod'( Y, Y ), 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'( Z, Y ) ), ~(
% 1.00/1.37 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 1.00/1.37 [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool'
% 1.00/1.37 ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 1.00/1.37 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'(
% 1.00/1.37 'tc_prod'( Y, Y ), 'tc_bool' ) ) ), ~( 'c_Wellfounded_Oacyclic'( Z, Y ) )
% 1.00/1.37 ],
% 1.00/1.37 [ 'c_Relation_Osingle__valued'( X, Y, Z ), ~(
% 1.00/1.37 'c_Relation_Osingle__valued'( T, Y, Z ) ), ~( 'c_lessequals'( X, T,
% 1.00/1.37 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 1.00/1.37 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 1.00/1.37 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.37 T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 1.00/1.37 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 1.00/1.37 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.37 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 1.00/1.37 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.37 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 1.00/1.37 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 1.00/1.37 T, 'tc_bool' ) ) ) ],
% 1.00/1.37 [ =( 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.00/1.37 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.00/1.37 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 1.00/1.37 Z, 'tc_bool' ) ) ) ],
% 1.00/1.37 [ 'c_lessequals'( 'c_Transitive__Closure_Otrancl'( X, Y ),
% 1.00/1.37 'c_Product__Type_OSigma'( 'c_Relation_OField'( X, Y ), 'c_COMBK'(
% 1.00/1.37 'c_Relation_OField'( X, Y ), 'tc_fun'( Y, 'tc_bool' ), Y ), Y, Y ),
% 1.00/1.37 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ],
% 1.00/1.37 [ 'c_lessequals'( 'c_Relation_ODomain'( X, Y, Z ), 'c_Relation_ODomain'(
% 1.00/1.37 T, Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'(
% 1.00/1.37 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 1.00/1.37 [ =( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 1.00/1.37 , 'tc_bool' ) ), Z ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 1.00/1.37 , 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y,
% 1.00/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 1.00/1.37 Z, 'tc_bool' ) ) ) ],
% 1.00/1.37 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 1.00/1.37 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.37 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 1.00/1.37 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 1.00/1.37 T, 'tc_bool' ) ) ) ],
% 1.00/1.37 [ =( 'c_Product__Type_OSigma'( X, 'c_COMBK'(
% 1.00/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 1.00/1.37 'tc_bool' ), Z ), Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.00/1.37 'tc_prod'( Z, Y ), 'tc_bool' ) ) ) ],
% 1.00/1.37 [ hBOOL( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 1.00/1.37 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ), ~( hBOOL(
% 1.00/1.37 hAPP( X, T ) ) ) ],
% 1.00/1.37 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 1.00/1.37 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), Z ), ~(
% 1.00/1.37 'c_lessequals'( X, Y, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 1.00/1.37 , X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.00/1.37 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.00/1.37 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.00/1.37 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.00/1.37 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z
% 1.00/1.37 , T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 1.00/1.37 'tc_bool' ) ) ) ],
% 1.00/1.37 [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_lessequals'(
% 1.00/1.37 'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U ), 'tc_fun'( U,
% 1.00/1.37 'tc_bool' ) ) ],
% 1.00/1.37 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z )
% 1.00/1.37 , 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z,
% 1.00/1.37 'tc_bool' ) ) ) ],
% 1.00/1.37 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.00/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 1.00/1.37 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 1.00/1.37 ) ],
% 1.00/1.37 [ =( 'c_Set_Oimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 1.00/1.37 , Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ),
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oimage'( X, Y, T, U
% 1.00/1.37 ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 1.00/1.37 [ =( 'c_Transitive__Closure_Otrancl'( 'c_Orderings_Obot__class_Obot'(
% 1.00/1.37 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' ) ), X ),
% 1.00/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' )
% 1.00/1.37 ) ) ],
% 1.00/1.37 [ hBOOL( hAPP( hAPP( X, hAPP( 'c_snd'( Y, Z ), 'c_Pair'( T, U, Y, Z ) )
% 1.00/1.37 ), hAPP( 'c_fst'( Y, Z ), 'c_Pair'( T, U, Y, Z ) ) ) ), ~( hBOOL( hAPP(
% 1.00/1.37 hAPP( X, U ), T ) ) ) ],
% 1.00/1.37 [ 'c_lessequals'( 'c_Relation_OImage'( X, Y, Z, T ), 'c_Relation_OImage'(
% 1.00/1.37 U, W, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, W,
% 1.00/1.37 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, U, 'tc_fun'(
% 1.00/1.37 'tc_prod'( Z, T ), 'tc_bool' ) ) ) ],
% 1.00/1.37 [ 'c_lessequals'( X, 'c_Product__Type_OSigma'( Y, 'c_COMBK'( Y, 'tc_fun'(
% 1.00/1.37 Z, 'tc_bool' ), Z ), Z, Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ),
% 1.00/1.37 ~( 'c_Equiv__Relations_Oequiv'( Y, X, Z ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.00/1.37 'c_lessequals'( Z, Y, X ) ],
% 1.00/1.37 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 1.00/1.37 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), ~(
% 1.00/1.37 hBOOL( 'c_in'( U, T, Z ) ) ) ],
% 1.00/1.37 [ 'c_Relation_Oirrefl'( X, Y ), ~(
% 1.00/1.37 'c_Order__Relation_Ostrict__linear__order__on'( Z, X, Y ) ) ],
% 1.00/1.37 [ 'c_Wellfounded_Oacyclic'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, Z ), T,
% 1.00/1.37 'tc_prod'( Z, Z ) ), Z ), hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 1.00/1.37 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 1.00/1.37 'c_Wellfounded_Oacyclic'( T, Z ) ) ],
% 1.00/1.37 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 1.00/1.37 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~(
% 1.00/1.37 'c_Wellfounded_Oacyclic'( 'c_Set_Oinsert'( 'c_Pair'( Y, X, Z, Z ), T,
% 1.00/1.37 'tc_prod'( Z, Z ) ), Z ) ) ],
% 1.00/1.37 [ hBOOL( hAPP( X, Y ) ), hBOOL( 'c_in'( 'c_Pair'(
% 1.00/1.37 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1'(
% 1.00/1.37 X, Z, T, U ),
% 1.00/1.37 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2'(
% 1.00/1.37 X, Z, T, U ), U, U ), T, 'tc_prod'( U, U ) ) ), ~( hBOOL( hAPP( X, Z ) )
% 1.00/1.37 ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, Z, U, U ),
% 1.00/1.37 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) ) ) ],
% 1.00/1.37 [ hBOOL( hAPP( X, Y ) ), hBOOL( 'c_in'( 'c_Pair'(
% 1.00/1.37 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1'( X, Z,
% 1.00/1.37 T, U ), 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2'(
% 1.00/1.37 X, Z, T, U ), U, U ), T, 'tc_prod'( U, U ) ) ), ~( hBOOL( hAPP( X, Z ) )
% 1.00/1.37 ), ~( hBOOL( 'c_in'( 'c_Pair'( Z, Y, U, U ),
% 1.00/1.37 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) ) ) ],
% 1.00/1.37 [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Z, 'tc_fun'(
% 1.00/1.37 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 1.00/1.37 'c_Relation_Orel__comp'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.37 'c_Transitive__Closure_Ortrancl'( X, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y )
% 1.00/1.37 , 'tc_bool' ) ), X, Y, Y, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool'
% 1.00/1.37 ) ) ), ~( 'c_lessequals'( 'c_Relation_OId'( Y ), Z, 'tc_fun'( 'tc_prod'(
% 1.00/1.37 Y, Y ), 'tc_bool' ) ) ) ],
% 1.00/1.37 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 1.00/1.37 'tc_fun'( Z, 'tc_bool' ) ) ) ), hBOOL( 'c_in'( X, Y, Z ) ) ],
% 1.00/1.37 [ =( X, Y ), ~( hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y,
% 1.00/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) )
% 1.00/1.37 ],
% 1.00/1.37 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 1.00/1.37 =( 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 1.00/1.37 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.00/1.37 ) ) ],
% 1.00/1.37 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 1.00/1.37 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ) ],
% 1.00/1.37 [ =( 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ),
% 1.00/1.37 'c_Set_Oimage'( X, Z, T, U ) ), ~( hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 1.00/1.37 [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y, U, W ) ) )
% 1.00/1.37 , ~( 'c_lessequals'( 'c_Set_Oimage'( X, U, W, T ), Z, 'tc_fun'( T,
% 1.00/1.37 'tc_bool' ) ) ) ],
% 1.00/1.37 [ hBOOL( 'c_in'( 'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1'( X,
% 1.00/1.37 Y, Z ), X, Z ) ), ~( hBOOL( 'c_in'( T, X, Z ) ) ), ~( 'c_Wellfounded_Owf'(
% 1.00/1.37 Y, Z ) ) ],
% 1.00/1.37 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ),
% 1.00/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z, Y ),
% 1.00/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.00/1.37 [ ~( =( 'c_Product__Type_OSigma'( X, 'c_COMBK'( Y, 'tc_fun'( Z,
% 1.00/1.37 'tc_bool' ), T ), T, Z ), 'c_Product__Type_OSigma'( U, 'c_COMBK'( Y,
% 1.00/1.37 'tc_fun'( Z, 'tc_bool' ), T ), T, Z ) ) ), ~( hBOOL( 'c_in'( W, Y, Z ) )
% 1.00/1.37 ), =( X, U ) ],
% 1.00/1.37 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_Wellfounded_Owf'( 'c_Set_Oinsert'(
% 1.00/1.37 'c_Pair'( Z, T, Y, Y ), X, 'tc_prod'( Y, Y ) ), Y ) ) ],
% 1.00/1.37 [ hBOOL( 'c_in'( 'c_ATP__Linkup_Osko__Relation__XImageE__1__1'( X, Y, Z
% 1.00/1.37 , T, U ), X, T ) ), ~( hBOOL( 'c_in'( Y, 'c_Relation_OImage'( Z, X, T, U
% 1.00/1.37 ), U ) ) ) ],
% 1.00/1.37 [ hBOOL( 'c_in'( X, 'c_Transitive__Closure_Ortrancl'(
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'(
% 1.00/1.37 T, T ), 'tc_bool' ) ), T ), 'tc_prod'( T, T ) ) ), ~( hBOOL( 'c_in'( X,
% 1.00/1.37 'c_Transitive__Closure_Ortrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ) ],
% 1.00/1.37 [ hBOOL( 'c_in'( X, 'c_Transitive__Closure_Ortrancl'(
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'(
% 1.00/1.37 T, T ), 'tc_bool' ) ), T ), 'tc_prod'( T, T ) ) ), ~( hBOOL( 'c_in'( X,
% 1.00/1.37 'c_Transitive__Closure_Ortrancl'( Z, T ), 'tc_prod'( T, T ) ) ) ) ],
% 1.00/1.37 [ hBOOL( 'c_in'( X, 'c_Transitive__Closure_Otrancl'( Y, Z ), 'tc_prod'(
% 1.00/1.37 Z, Z ) ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( 'tc_prod'( Z, Z ),
% 1.00/1.37 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, 'c_Transitive__Closure_Otrancl'( T
% 1.00/1.37 , Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 1.00/1.37 [ =( 'c_Product__Type_OSigma'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.00/1.37 X, 'tc_bool' ) ), Y, X, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.00/1.37 'tc_prod'( X, Z ), 'tc_bool' ) ) ) ],
% 1.00/1.37 [ hBOOL( hAPP( X, Y ) ), hBOOL( 'c_in'(
% 1.00/1.37 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, Z, T ),
% 1.00/1.37 'c_Wellfounded_Oacc'( Z, T ), T ) ), ~( hBOOL( 'c_in'( Y,
% 1.00/1.37 'c_Wellfounded_Oacc'( Z, T ), T ) ) ) ],
% 1.00/1.37 [ ~( hBOOL( 'c_in'(
% 1.00/1.37 'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1'( X, Y, Z ),
% 1.00/1.37 'c_Wellfounded_Oacc'( X, Z ), Z ) ) ), hBOOL( 'c_in'( Y,
% 1.00/1.37 'c_Wellfounded_Oacc'( X, Z ), Z ) ) ],
% 1.00/1.37 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 1.00/1.37 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, Z, T ) )
% 1.00/1.37 ) ), ~( hBOOL( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z, T ), T ) ) ) ],
% 1.00/1.37 [ ~( =( 'c_Relation_ODomain'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 1.00/1.37 'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'(
% 1.00/1.37 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 1.00/1.37 [ =( 'c_Relation_ODomain'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.00/1.37 'tc_prod'( X, Y ), 'tc_bool' ) ), X, Y ), 'c_Orderings_Obot__class_Obot'(
% 1.00/1.37 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.00/1.37 [ =( 'c_Relation_ORange'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.00/1.37 'tc_prod'( X, Y ), 'tc_bool' ) ), X, Y ), 'c_Orderings_Obot__class_Obot'(
% 1.00/1.37 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.00/1.37 [ 'c_Relation_Orefl__on'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.00/1.37 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, X
% 1.00/1.37 ), 'tc_bool' ) ), X ) ],
% 1.00/1.37 [ ~( =( 'c_Relation_ORange'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 1.00/1.37 'tc_fun'( Z, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'(
% 1.00/1.37 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 1.00/1.37 [ 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 1.00/1.37 , X, Y, Y, Y ), 'c_Relation_Orel__comp'( Z, X, Y, Y, Y ), 'tc_fun'(
% 1.00/1.37 'tc_prod'( Y, Y ), 'tc_bool' ) ), Z, 'tc_fun'( 'tc_prod'( Y, Y ),
% 1.00/1.37 'tc_bool' ) ), Y ), ~( 'c_Wellfounded_Owf'(
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 1.00/1.37 Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 1.00/1.37 [ 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.00/1.37 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 1.00/1.37 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 1.00/1.37 , X, Z, Z, Z ), 'c_Relation_Orel__comp'( Y, X, Z, Z, Z ), 'tc_fun'(
% 1.00/1.37 'tc_prod'( Z, Z ), 'tc_bool' ) ), Y, 'tc_fun'( 'tc_prod'( Z, Z ),
% 1.00/1.37 'tc_bool' ) ), Z ) ) ],
% 1.00/1.37 [ ~( =( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ),
% 1.00/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' )
% 1.00/1.37 ) ) ), 'c_Wellfounded_Owf'( X, Y ) ],
% 1.00/1.37 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.37 'c_Relation_ODomain'( X, Y, Y ), 'c_Relation_ORange'( Z, Y, Y ), 'tc_fun'(
% 1.00/1.37 Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool'
% 1.00/1.37 ) ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ), ~( 'c_Wellfounded_Owf'( X, Y
% 1.00/1.37 ) ), 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.37 X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ],
% 1.00/1.37 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ),
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_Orel__comp'(
% 1.00/1.37 'c_Transitive__Closure_Otrancl'( X, Y ), X, Y, Y, Y ), 'tc_fun'(
% 1.00/1.37 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 1.00/1.37 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.37 'c_Transitive__Closure_Ortrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 1.00/1.37 'tc_prod'( Y, Y ), 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 1.00/1.37 ) ) ],
% 1.00/1.37 [ =( 'c_Transitive__Closure_Ortrancl'(
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 1.00/1.37 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 1.00/1.37 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 1.00/1.37 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Orderings_Obot__class_Obot'(
% 1.00/1.37 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' ) ), X ), 'c_Relation_OId'( X ) )
% 1.00/1.37 ],
% 1.00/1.37 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_HOL_Ominus__class_Ominus'( X,
% 1.00/1.37 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 1.00/1.37 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 1.00/1.37 [ =( 'c_Relation_OId__on'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.00/1.37 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'(
% 1.00/1.37 X, X ), 'tc_bool' ) ) ) ],
% 1.00/1.37 [ 'c_Relation_Oantisym'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ),
% 1.00/1.37 ~( 'c_Wellfounded_Oacyclic'( X, Y ) ) ],
% 1.00/1.37 [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), X, 'tc_fun'(
% 1.00/1.37 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_Relation_Otrans'( X, Y ) ) ],
% 1.00/1.37 [ 'c_Relation_Osym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.00/1.37 'c_Relation_Oconverse'( X, Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool'
% 1.00/1.37 ) ), Y ) ],
% 1.00/1.37 [ 'c_Relation_Osym'( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.00/1.37 'c_Relation_Oconverse'( X, Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool'
% 1.00/1.37 ) ), Y ) ],
% 1.00/1.37 [ 'c_Relation_Otrans'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.00/1.37 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 1.00/1.37 ~( 'c_Relation_Otrans'( X, Y ) ) ],
% 1.00/1.37 [ =( 'c_Relation_OImage'( 'c_Relation_OId__on'( X, Y ), Z, Y, Y ),
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( Y,
% 1.00/1.37 'tc_bool' ) ) ) ],
% 1.00/1.37 [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'(
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 1.00/1.37 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 1.00/1.37 [ 'c_Relation_Oantisym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X
% 1.00/1.37 , 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y )
% 1.00/1.37 , ~( 'c_Relation_Oantisym'( X, Y ) ) ],
% 1.00/1.37 [ 'c_Relation_Ototal__on'( X, Y, Z ), ~( 'c_Relation_Ototal__on'( X,
% 1.00/1.37 'c_HOL_Ominus__class_Ominus'( Y, 'c_Relation_OId'( Z ), 'tc_fun'(
% 1.00/1.37 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ) ) ],
% 1.00/1.37 [ 'c_Relation_Ototal__on'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 1.00/1.37 'c_Relation_OId'( Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ),
% 1.00/1.37 ~( 'c_Relation_Ototal__on'( X, Y, Z ) ) ],
% 1.00/1.37 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 1.00/1.37 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL(
% 1.00/1.37 'c_in'( 'c_Pair'( Y, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'(
% 1.00/1.37 'c_Relation_Oconverse'( T, Z, Z ), Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 1.00/1.37 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 1.00/1.37 'c_Transitive__Closure_Ortrancl'( 'c_Relation_Oconverse'( T, Z, Z ), Z )
% 1.00/1.37 , 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 1.00/1.37 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 1.00/1.37 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 1.00/1.37 T, Z ), 'tc_prod'( Z, Z ) ) ), =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( X,
% 1.00/1.37 Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) )
% 1.00/1.37 ) ) ],
% 1.00/1.37 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 1.00/1.37 T, Z ), 'tc_prod'( Z, Z ) ) ), =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( X,
% 1.00/1.37 Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) )
% 1.00/1.37 ) ) ],
% 1.00/1.37 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 1.00/1.37 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL(
% 1.00/1.37 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ),
% 1.00/1.37 'tc_prod'( Z, Z ) ) ) ), =( X, Y ) ],
% 1.00/1.37 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 1.00/1.37 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 1.00/1.37 T, 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ),
% 1.00/1.37 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 1.00/1.37 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 1.00/1.37 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 1.00/1.37 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~(
% 1.00/1.37 hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ) ],
% 1.00/1.37 [ hBOOL( 'c_in'( X, 'c_Transitive__Closure_Otrancl'( Y, Z ), 'tc_prod'(
% 1.00/1.37 Z, Z ) ) ), ~( hBOOL( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ) ) ],
% 1.00/1.37 [ hBOOL( 'c_in'( X, 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'(
% 1.00/1.37 Z, Z ) ) ), ~( hBOOL( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ) ) ],
% 1.00/1.37 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( 'c_in'(
% 1.00/1.37 'c_Pair'( Z, 'v_sko__Wellfounded__Xacc__Xinduct__1'( X, T ), 't_a', 't_a'
% 1.00/1.37 ), T, 'tc_prod'( 't_a', 't_a' ) ) ) ), ~( hBOOL( 'c_in'( Y,
% 1.00/1.37 'c_Wellfounded_Oacc'( T, 't_a' ), 't_a' ) ) ) ],
% 1.00/1.37 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 1.00/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 1.00/1.37 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 1.00/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 1.00/1.37 ), hBOOL( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ), ~(
% 1.00/1.37 hBOOL( 'c_in'( T, U, Z ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) )
% 1.00/1.37 ],
% 1.00/1.37 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 1.00/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 1.00/1.37 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 1.00/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 1.00/1.37 ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ), hBOOL( 'c_in'( 'c_Pair'(
% 1.00/1.37 Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( T, U, Z ) ) ),
% 1.00/1.37 ~( hBOOL( 'c_in'( Y, U, Z ) ) ) ],
% 1.00/1.37 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 1.00/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 1.00/1.37 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 1.00/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 1.00/1.37 , ~( hBOOL( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ) ),
% 1.00/1.37 ~( hBOOL( 'c_in'( T, U, Z ) ) ), ~( hBOOL( 'c_in'( Y, U, Z ) ) ), ~(
% 1.00/1.37 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 1.00/1.37 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 1.00/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 1.00/1.37 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 1.00/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 1.00/1.37 ), ~( hBOOL( 'c_in'( T, U, Z ) ) ), ~( hBOOL( 'c_in'( Y, U, Z ) ) ), ~(
% 1.00/1.37 'c_Equiv__Relations_Oequiv'( U, X, Z ) ), hBOOL( 'c_in'( 'c_Pair'( Y, T,
% 1.00/1.37 Z, Z ), X, 'tc_prod'( Z, Z ) ) ) ],
% 1.00/1.37 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 1.00/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 1.00/1.37 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 1.00/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 1.00/1.37 , ~( hBOOL( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ) ),
% 1.00/1.37 ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 1.00/1.37 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 1.00/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 1.00/1.37 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 1.00/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 1.00/1.37 , ~( hBOOL( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ) ),
% 1.00/1.37 ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 1.00/1.37 [ hBOOL( 'c_in'( X, 'c_Relation_OImage'( Y, 'c_Set_Oinsert'( Z,
% 1.00/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T, U ),
% 1.00/1.37 U ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Z, X, T, U ), Y, 'tc_prod'( T, U ) ) )
% 1.00/1.37 ) ],
% 1.00/1.37 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), ~(
% 1.00/1.37 hBOOL( 'c_in'( Y, 'c_Relation_OImage'( U, 'c_Set_Oinsert'( X,
% 1.00/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, T ),
% 1.00/1.37 T ) ) ) ],
% 1.00/1.37 [ 'c_lessequals'( 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X, Y
% 1.00/1.37 , Y ), X, Y, Y, Y ), X, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~(
% 1.00/1.37 'c_Relation_Otrans'( X, Y ) ), ~( 'c_Relation_Osym'( X, Y ) ) ],
% 1.00/1.37 [ hBOOL( 'c_in'( X, 'c_Relation_OImage'( Y, 'c_Set_Oinsert'( X,
% 1.00/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 1.00/1.37 Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( 'c_Equiv__Relations_Oequiv'( T
% 1.00/1.37 , Y, Z ) ) ],
% 1.00/1.37 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 1.00/1.37 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1'( Y, X, Z, T )
% 1.00/1.38 , T, T ), 'c_Transitive__Closure_Ortrancl'( Y, T ), 'tc_prod'( T, T ) ) )
% 1.00/1.38 , ~( hBOOL( 'c_in'( 'c_Pair'( X, Z, T, T ),
% 1.00/1.38 'c_Transitive__Closure_Otrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'(
% 1.00/1.38 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1'( X, Y, Z, T ),
% 1.00/1.38 Z, T, T ), 'c_Transitive__Closure_Ortrancl'( X, T ), 'tc_prod'( T, T ) )
% 1.00/1.38 ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, Z, T, T ),
% 1.00/1.38 'c_Transitive__Closure_Otrancl'( X, T ), 'tc_prod'( T, T ) ) ) ) ],
% 1.00/1.38 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 1.00/1.38 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~(
% 1.00/1.38 'c_Wellfounded_Owf'( 'c_Set_Oinsert'( 'c_Pair'( Y, X, Z, Z ), T,
% 1.00/1.38 'tc_prod'( Z, Z ) ), Z ) ) ],
% 1.00/1.38 [ 'c_Wellfounded_Owf'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, Z ), T,
% 1.00/1.38 'tc_prod'( Z, Z ) ), Z ), hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 1.00/1.38 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 1.00/1.38 'c_Wellfounded_Owf'( T, Z ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'(
% 1.00/1.38 'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1'( X, Y, Z ), Y, Z
% 1.00/1.38 , Z ), X, 'tc_prod'( Z, Z ) ) ), hBOOL( 'c_in'( Y, 'c_Wellfounded_Oacc'(
% 1.00/1.38 X, Z ), Z ) ) ],
% 1.00/1.38 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( 'c_in'(
% 1.00/1.38 'c_Pair'( Z, 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'(
% 1.00/1.38 X, T, U ), U, U ), T, 'tc_prod'( U, U ) ) ) ), ~( hBOOL( 'c_in'( Y,
% 1.00/1.38 'c_Wellfounded_Oacc'( T, U ), U ) ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XImageE__1__1'(
% 1.00/1.38 X, Y, Z, T, U ), Y, T, U ), Z, 'tc_prod'( T, U ) ) ), ~( hBOOL( 'c_in'( Y
% 1.00/1.38 , 'c_Relation_OImage'( Z, X, T, U ), U ) ) ) ],
% 1.00/1.38 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X,
% 1.00/1.38 'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1'( Y, T, Z ), Z, Z ), T
% 1.00/1.38 , 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( U, Y, Z ) ) ), ~(
% 1.00/1.38 'c_Wellfounded_Owf'( T, Z ) ) ],
% 1.00/1.38 [ 'c_Order__Relation_Ostrict__linear__order__on'( X, Y, Z ), ~(
% 1.00/1.38 'c_Relation_Ototal__on'( X, Y, Z ) ), ~( 'c_Relation_Oirrefl'( Y, Z ) ),
% 1.00/1.38 ~( 'c_Relation_Otrans'( Y, Z ) ) ],
% 1.00/1.38 [ 'c_Nitpick_Orefl_H'( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'(
% 1.00/1.38 'c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1'( X, Y ),
% 1.00/1.38 'c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1'( X, Y ), Y, Y ), X,
% 1.00/1.38 'tc_prod'( Y, Y ) ) ) ) ],
% 1.00/1.38 [ 'c_Relation_Otrans'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Relation_OId'(
% 1.00/1.38 Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ), ~(
% 1.00/1.38 'c_Relation_Oantisym'( X, Y ) ), ~( 'c_Relation_Otrans'( X, Y ) ) ],
% 1.00/1.38 [ =( 'c_Relation_OImage'( X,
% 1.00/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 1.00/1.38 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.38 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 1.00/1.38 'tc_fun'( U, 'tc_bool' ) ) ), ~( 'c_Relation_Osingle__valued'(
% 1.00/1.38 'c_Relation_Oconverse'( X, T, U ), U, T ) ) ],
% 1.00/1.38 [ 'c_Relation_Oirrefl'( X, Y ), hBOOL( 'c_in'( 'c_Pair'(
% 1.00/1.38 'c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1'( X, Y ),
% 1.00/1.38 'c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1'( X, Y ), Y, Y ), X,
% 1.00/1.38 'tc_prod'( Y, Y ) ) ) ],
% 1.00/1.38 [ =( 'c_Relation_ORange'( 'v_r', 't_a', 't_b' ), 'c_Relation_ODomain'(
% 1.00/1.38 'c_Relation_Oconverse'( 'v_r', 't_a', 't_b' ), 't_b', 't_a' ) ) ],
% 1.00/1.38 [ 'c_lessequals'( X, 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X
% 1.00/1.38 , Y, Y ), X, Y, Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~(
% 1.00/1.38 'c_Relation_Orefl__on'( Z, X, Y ) ) ],
% 1.00/1.38 [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 1.00/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_OId'( Y ),
% 1.00/1.38 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( X, Y ), X, Y,
% 1.00/1.38 Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 1.00/1.38 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.38 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 1.00/1.38 'tc_prod'( Y, Y ), 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 1.00/1.38 ) ) ],
% 1.00/1.38 [ =( 'c_Transitive__Closure_Otrancl'(
% 1.00/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 1.00/1.38 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 1.00/1.38 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 1.00/1.38 [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 1.00/1.38 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.38 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 1.00/1.38 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 1.00/1.38 [ =( 'c_Recdef_Ocut'( X, Y, Z, T, U ), 'c_Recdef_Ocut'( W, Y, Z, T, U )
% 1.00/1.38 ), hBOOL( 'c_in'( 'c_Pair'( 'c_List_Osko__Recdef__Xcuts__eq__1__1'( X, W
% 1.00/1.38 , Y, Z, T, U ), Z, T, T ), Y, 'tc_prod'( T, T ) ) ) ],
% 1.00/1.38 [ =( X, 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1'( Y, X,
% 1.00/1.38 Z ), 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1'( Y, X, Z ), Z, Z ) )
% 1.00/1.38 , ~( hBOOL( 'c_in'( X, 'c_Relation_OId__on'( Y, Z ), 'tc_prod'( Z, Z ) )
% 1.00/1.38 ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1'( X, Y, Z
% 1.00/1.38 ), X, Z ) ), ~( hBOOL( 'c_in'( Y, 'c_Relation_OId__on'( X, Z ),
% 1.00/1.38 'tc_prod'( Z, Z ) ) ) ) ],
% 1.00/1.38 [ 'c_Wellfounded_Owf'( X, Y ), ~( hBOOL( 'c_in'(
% 1.00/1.38 'c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1'( X, Y ),
% 1.00/1.38 'c_Wellfounded_Oacc'( X, Y ), Y ) ) ) ],
% 1.00/1.38 [ 'c_Wellfounded_Owf'( X, Y ), ~( hBOOL( 'c_in'(
% 1.00/1.38 'c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1'( X, Y ),
% 1.00/1.38 'c_Wellfounded_Oacc'( X, Y ), Y ) ) ) ],
% 1.00/1.38 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 1.00/1.38 ~( 'c_lessequals'( X, 'c_Relation_OImage'( Z, X, Y, Y ), 'tc_fun'( Y,
% 1.00/1.38 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ) ],
% 1.00/1.38 [ =( X, 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XIdE__1__1'( X, Y ),
% 1.00/1.38 'c_ATP__Linkup_Osko__Relation__XIdE__1__1'( X, Y ), Y, Y ) ), ~( hBOOL(
% 1.00/1.38 'c_in'( X, 'c_Relation_OId'( Y ), 'tc_prod'( Y, Y ) ) ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'(
% 1.00/1.38 'c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1'( X, Y, Z, T, U, W,
% 1.00/1.38 V0 ), Y, V0, W ), T, 'tc_prod'( V0, W ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'(
% 1.00/1.38 X, Y, U, W ), 'c_Relation_Orel__comp'( Z, T, U, V0, W ), 'tc_prod'( U, W
% 1.00/1.38 ) ) ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 1.00/1.38 'c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1'( X, Y, Z, T, U, W,
% 1.00/1.38 V0 ), U, V0 ), Z, 'tc_prod'( U, V0 ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X,
% 1.00/1.38 Y, U, W ), 'c_Relation_Orel__comp'( Z, T, U, V0, W ), 'tc_prod'( U, W ) )
% 1.00/1.38 ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 1.00/1.38 hBOOL( 'c_in'( Y, U, Z ) ) ), ~( 'c_lessequals'( 'c_Relation_OImage'( T,
% 1.00/1.38 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.00/1.38 'tc_bool' ) ), Z ), Z, Z ), 'c_Relation_OImage'( T, 'c_Set_Oinsert'( X,
% 1.00/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 1.00/1.38 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, T, Z ) )
% 1.00/1.38 ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 1.00/1.38 hBOOL( 'c_in'( U, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.38 'c_Relation_OImage'( T, 'c_Set_Oinsert'( X,
% 1.00/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 1.00/1.38 'c_Relation_OImage'( T, 'c_Set_Oinsert'( Y,
% 1.00/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 1.00/1.38 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ), ~( 'c_Equiv__Relations_Oequiv'( W, T
% 1.00/1.38 , Z ) ) ],
% 1.00/1.38 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ) ),
% 1.00/1.38 hBOOL( 'c_in'( 'c_Pair'(
% 1.00/1.38 'c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1'( Z,
% 1.00/1.38 Y ), 'c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1'(
% 1.00/1.38 Z, Y ), Y, Y ), 'c_Transitive__Closure_Otrancl'( Z, Y ), 'tc_prod'( Y, Y
% 1.00/1.38 ) ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'(
% 1.00/1.38 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1'( X, Y
% 1.00/1.38 , Z, T ), Z, T, T ), 'c_Transitive__Closure_Otrancl'( X, T ), 'tc_prod'(
% 1.00/1.38 T, T ) ) ), hBOOL( 'c_in'( 'c_Pair'( Y, Z, T, T ), X, 'tc_prod'( T, T ) )
% 1.00/1.38 ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, Z, T, T ),
% 1.00/1.38 'c_Transitive__Closure_Otrancl'( X, T ), 'tc_prod'( T, T ) ) ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 1.00/1.38 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1'( Y, X, Z, T ),
% 1.00/1.38 T, T ), Y, 'tc_prod'( T, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Z, T, T
% 1.00/1.38 ), 'c_Transitive__Closure_Otrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 1.00/1.38 'v_sko__Transitive__Closure__Xtrancl__Xcases__1'( X, Y, Z ), 't_a', 't_a'
% 1.00/1.38 ), 'c_Transitive__Closure_Otrancl'( Z, 't_a' ), 'tc_prod'( 't_a', 't_a'
% 1.00/1.38 ) ) ), hBOOL( 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ), Z, 'tc_prod'(
% 1.00/1.38 't_a', 't_a' ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ),
% 1.00/1.38 'c_Transitive__Closure_Otrancl'( Z, 't_a' ), 'tc_prod'( 't_a', 't_a' ) )
% 1.00/1.38 ) ) ],
% 1.00/1.38 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ),
% 1.00/1.38 'c_Transitive__Closure_Otrancl'( Z, Y ), 'tc_prod'( Y, Y ) ) ) ), ~(
% 1.00/1.38 'c_Wellfounded_Oacyclic'( Z, Y ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'(
% 1.00/1.38 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1'( X, Y, Z, T ),
% 1.00/1.38 Y, T, T ), Z, 'tc_prod'( T, T ) ) ), hBOOL( 'c_in'( 'c_Pair'( X, Y, T, T
% 1.00/1.38 ), Z, 'tc_prod'( T, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, T, T ),
% 1.00/1.38 'c_Transitive__Closure_Otrancl'( Z, T ), 'tc_prod'( T, T ) ) ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 1.00/1.38 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1'( X, Y, Z, T ),
% 1.00/1.38 T, T ), 'c_Transitive__Closure_Otrancl'( Z, T ), 'tc_prod'( T, T ) ) ),
% 1.00/1.38 hBOOL( 'c_in'( 'c_Pair'( X, Y, T, T ), Z, 'tc_prod'( T, T ) ) ), ~( hBOOL(
% 1.00/1.38 'c_in'( 'c_Pair'( X, Y, T, T ), 'c_Transitive__Closure_Otrancl'( Z, T ),
% 1.00/1.38 'tc_prod'( T, T ) ) ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'(
% 1.00/1.38 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1'( X, Y, Z, T )
% 1.00/1.38 , Z, T, T ), X, 'tc_prod'( T, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, Z,
% 1.00/1.38 T, T ), 'c_Transitive__Closure_Otrancl'( X, T ), 'tc_prod'( T, T ) ) ) )
% 1.00/1.38 ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 1.00/1.38 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1'( Y, X
% 1.00/1.38 , Z, T ), T, T ), Y, 'tc_prod'( T, T ) ) ), hBOOL( 'c_in'( 'c_Pair'( X, Z
% 1.00/1.38 , T, T ), Y, 'tc_prod'( T, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Z, T,
% 1.00/1.38 T ), 'c_Transitive__Closure_Otrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'(
% 1.00/1.38 'v_sko__Transitive__Closure__Xtrancl__Xcases__1'( X, Y, Z ), Y, 't_a',
% 1.00/1.38 't_a' ), Z, 'tc_prod'( 't_a', 't_a' ) ) ), hBOOL( 'c_in'( 'c_Pair'( X, Y
% 1.00/1.38 , 't_a', 't_a' ), Z, 'tc_prod'( 't_a', 't_a' ) ) ), ~( hBOOL( 'c_in'(
% 1.00/1.38 'c_Pair'( X, Y, 't_a', 't_a' ), 'c_Transitive__Closure_Otrancl'( Z, 't_a'
% 1.00/1.38 ), 'tc_prod'( 't_a', 't_a' ) ) ) ) ],
% 1.00/1.38 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( 'c_in'(
% 1.00/1.38 'c_Pair'( Z, 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1'(
% 1.00/1.38 X, T, U ), U, U ), T, 'tc_prod'( U, U ) ) ) ), ~( 'c_Wellfounded_Owf'( T
% 1.00/1.38 , U ) ) ],
% 1.00/1.38 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( 'c_in'(
% 1.00/1.38 'c_Pair'( Z, 'c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1'( X, T, U )
% 1.00/1.38 , U, U ), T, 'tc_prod'( U, U ) ) ) ), ~( 'c_Wellfounded_Owf'( T, U ) ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( 'c_in'(
% 1.00/1.38 'c_Pair'( Z, 'c_List_Osko__Recdef__Xtfl__wf__induct__1__1'( X, T, U ), U
% 1.00/1.38 , U ), T, 'tc_prod'( U, U ) ) ) ), ~( 'c_Wellfounded_Owf'( T, U ) ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( 'c_in'(
% 1.00/1.38 'c_Pair'( Z, 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1'( X, T,
% 1.00/1.38 U ), U, U ), T, 'tc_prod'( U, U ) ) ) ), ~( 'c_Wellfounded_Owf'( T, U ) )
% 1.00/1.38 ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'(
% 1.00/1.38 'c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1'( X, Y, Z, T )
% 1.00/1.38 , Y, T, T ), Z, 'tc_prod'( T, T ) ) ), =( X, Y ), ~( hBOOL( 'c_in'(
% 1.00/1.38 'c_Pair'( X, Y, T, T ), 'c_Transitive__Closure_Ortrancl'( Z, T ),
% 1.00/1.38 'tc_prod'( T, T ) ) ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'(
% 1.00/1.38 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1'( X,
% 1.00/1.38 Y, Z, T ), Z, T, T ), 'c_Transitive__Closure_Ortrancl'( X, T ), 'tc_prod'(
% 1.00/1.38 T, T ) ) ), =( Y, Z ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, Z, T, T ),
% 1.00/1.38 'c_Transitive__Closure_Ortrancl'( X, T ), 'tc_prod'( T, T ) ) ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 1.00/1.38 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1'( Y,
% 1.00/1.38 X, Z, T ), T, T ), Y, 'tc_prod'( T, T ) ) ), =( X, Z ), ~( hBOOL( 'c_in'(
% 1.00/1.38 'c_Pair'( X, Z, T, T ), 'c_Transitive__Closure_Ortrancl'( Y, T ),
% 1.00/1.38 'tc_prod'( T, T ) ) ) ) ],
% 1.00/1.38 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X,
% 1.00/1.38 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2'(
% 1.00/1.38 X, Z, T, U ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'(
% 1.00/1.38 Y, Z, U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U )
% 1.00/1.38 ) ) ) ],
% 1.00/1.38 [ hBOOL( hAPP( X, Y ) ), hBOOL( 'c_in'( 'c_Pair'(
% 1.00/1.38 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2'(
% 1.00/1.38 X, Z, T, U ), Z, U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ),
% 1.00/1.38 'tc_prod'( U, U ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'(
% 1.00/1.38 'c_Pair'( Y, Z, U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ),
% 1.00/1.38 'tc_prod'( U, U ) ) ) ) ],
% 1.00/1.38 [ hBOOL( hAPP( X, Y ) ), hBOOL( 'c_in'( 'c_Pair'( Z,
% 1.00/1.38 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1'( X, Z,
% 1.00/1.38 T, U ), U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U
% 1.00/1.38 ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Z, Y, U,
% 1.00/1.38 U ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) ) ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 1.00/1.38 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2'( X, Z,
% 1.00/1.38 T, U ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Z,
% 1.00/1.38 Y, U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) )
% 1.00/1.38 ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 1.00/1.38 'v_sko__Transitive__Closure__Xrtrancl__Xcases__1'( X, Y, Z ), 't_a',
% 1.00/1.38 't_a' ), 'c_Transitive__Closure_Ortrancl'( Z, 't_a' ), 'tc_prod'( 't_a',
% 1.00/1.38 't_a' ) ) ), =( Y, X ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' )
% 1.00/1.38 , 'c_Transitive__Closure_Ortrancl'( Z, 't_a' ), 'tc_prod'( 't_a', 't_a' )
% 1.00/1.38 ) ) ) ],
% 1.00/1.38 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X,
% 1.00/1.38 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1'( X, Z,
% 1.00/1.38 T, U ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Z, Y
% 1.00/1.38 , U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) )
% 1.00/1.38 ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'(
% 1.00/1.38 'v_sko__Transitive__Closure__Xrtrancl__Xcases__1'( X, Y, Z ), Y, 't_a',
% 1.00/1.38 't_a' ), Z, 'tc_prod'( 't_a', 't_a' ) ) ), =( Y, X ), ~( hBOOL( 'c_in'(
% 1.00/1.38 'c_Pair'( X, Y, 't_a', 't_a' ), 'c_Transitive__Closure_Ortrancl'( Z,
% 1.00/1.38 't_a' ), 'tc_prod'( 't_a', 't_a' ) ) ) ) ],
% 1.00/1.38 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 1.00/1.38 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1'(
% 1.00/1.38 X, Z, T, U ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'(
% 1.00/1.38 'c_Pair'( Y, Z, U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ),
% 1.00/1.38 'tc_prod'( U, U ) ) ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 1.00/1.38 'c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1'( X, Y, Z, T )
% 1.00/1.38 , T, T ), 'c_Transitive__Closure_Ortrancl'( Z, T ), 'tc_prod'( T, T ) ) )
% 1.00/1.38 , =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, T, T ),
% 1.00/1.38 'c_Transitive__Closure_Ortrancl'( Z, T ), 'tc_prod'( T, T ) ) ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_ATP__Linkup_Osko__Product__Type__XSigmaE__1__1'( X,
% 1.00/1.38 Y, Z, T, U ), X, T ) ), ~( hBOOL( 'c_in'( Z, 'c_Product__Type_OSigma'( X
% 1.00/1.38 , Y, T, U ), 'tc_prod'( T, U ) ) ) ) ],
% 1.00/1.38 [ 'c_Wellfounded_OwfP'( 'c_FunDef_Oin__rel'( X, Y, Y ), Y ), ~(
% 1.00/1.38 'c_Wellfounded_Owf'( X, Y ) ) ],
% 1.00/1.38 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 1.00/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 1.00/1.38 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 1.00/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 1.00/1.38 ), ~( hBOOL( 'c_in'( T, 'c_Relation_OField'( X, Z ), Z ) ) ), ~( hBOOL(
% 1.00/1.38 'c_in'( Y, 'c_Relation_OField'( X, Z ), Z ) ) ), ~( 'c_Relation_Oantisym'(
% 1.00/1.38 X, Z ) ), ~( 'c_Relation_Orefl__on'( 'c_Relation_OField'( X, Z ), X, Z )
% 1.00/1.38 ), =( Y, T ) ],
% 1.00/1.38 [ 'c_Relation_Oirrefl'( 'c_HOL_Ominus__class_Ominus'( X,
% 1.00/1.38 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.38 'c_Relation_Oconverse'( X, Y, Y ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 1.00/1.38 ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ),
% 1.00/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' )
% 1.00/1.38 ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Z, Z, Y, Y ),
% 1.00/1.38 'c_Transitive__Closure_Otrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ) ) ],
% 1.00/1.38 [ 'c_lessequals'( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 1.00/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 1.00/1.38 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 1.00/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 1.00/1.38 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X,
% 1.00/1.38 'tc_prod'( Z, Z ) ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ =( 'c_Set_Oimage'( 'c_snd'( X, Y ), Z, 'tc_prod'( X, Y ), Y ),
% 1.00/1.38 'c_Relation_ORange'( Z, X, Y ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( X, Y, Z ) ), =( X, T ), ~( 'c_lessequals'( U,
% 1.00/1.38 'c_Product__Type_OSigma'( Y, 'c_COMBK'( Y, 'tc_fun'( Z, 'tc_bool' ), Z )
% 1.00/1.38 , Z, Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) ), ~( hBOOL( 'c_in'(
% 1.00/1.38 'c_Pair'( X, T, Z, Z ), 'c_Transitive__Closure_Ortrancl'( U, Z ),
% 1.00/1.38 'tc_prod'( Z, Z ) ) ) ) ],
% 1.00/1.38 [ =( 'c_Equiv__Relations_Oquotient'( 'c_Set_Oinsert'( X,
% 1.00/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z, Y ),
% 1.00/1.38 'c_Equiv__Relations_Oquotient'( 'c_Set_Oinsert'( T,
% 1.00/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z, Y ) )
% 1.00/1.38 , ~( hBOOL( 'c_in'( 'c_Pair'( X, T, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ) ),
% 1.00/1.38 ~( hBOOL( 'c_in'( T, U, Y ) ) ), ~( hBOOL( 'c_in'( X, U, Y ) ) ), ~(
% 1.00/1.38 'c_Equiv__Relations_Oequiv'( U, Z, Y ) ) ],
% 1.00/1.38 [ ~( =( 'c_Equiv__Relations_Oquotient'( 'c_Set_Oinsert'( X,
% 1.00/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z, Y ),
% 1.00/1.38 'c_Equiv__Relations_Oquotient'( 'c_Set_Oinsert'( T,
% 1.00/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z, Y ) )
% 1.00/1.38 ), ~( hBOOL( 'c_in'( T, U, Y ) ) ), ~( hBOOL( 'c_in'( X, U, Y ) ) ), ~(
% 1.00/1.38 'c_Equiv__Relations_Oequiv'( U, Z, Y ) ), hBOOL( 'c_in'( 'c_Pair'( X, T,
% 1.00/1.38 Y, Y ), Z, 'tc_prod'( Y, Y ) ) ) ],
% 1.00/1.38 [ =( 'c_Set_Oimage'( 'c_fst'( X, Y ), Z, 'tc_prod'( X, Y ), X ),
% 1.00/1.38 'c_Relation_ODomain'( Z, X, Y ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 1.00/1.38 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), hBOOL(
% 1.00/1.38 'c_in'( 'c_Pair'( Y, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z )
% 1.00/1.38 , 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, X, Z, Z ),
% 1.00/1.38 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~(
% 1.00/1.38 hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'(
% 1.00/1.38 T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~( 'c_Relation_Osingle__valued'( T, Z, Z
% 1.00/1.38 ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 1.00/1.38 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL(
% 1.00/1.38 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ),
% 1.00/1.38 'tc_prod'( Z, Z ) ) ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 1.00/1.38 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 1.00/1.38 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~(
% 1.00/1.38 hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Otrancl'( T
% 1.00/1.38 , Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 1.00/1.38 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 1.00/1.38 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~(
% 1.00/1.38 hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Ortrancl'(
% 1.00/1.38 T, Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_Oconverse'(
% 1.00/1.38 'c_Transitive__Closure_Otrancl'( T, Z ), Z, Z ), 'tc_prod'( Z, Z ) ) ),
% 1.00/1.38 ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 1.00/1.38 'c_Relation_Oconverse'( T, Z, Z ), Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 1.00/1.38 'c_Relation_Oconverse'( T, Z, Z ), Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL(
% 1.00/1.38 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_Oconverse'(
% 1.00/1.38 'c_Transitive__Closure_Otrancl'( T, Z ), Z, Z ), 'tc_prod'( Z, Z ) ) ) )
% 1.00/1.38 ],
% 1.00/1.38 [ =( hAPP( 'c_split'( X, Y, Z, T ), 'c_Pair'( U, W, Y, Z ) ), hAPP( hAPP(
% 1.00/1.38 X, U ), W ) ) ],
% 1.00/1.38 [ =( hAPP( 'c_split'( X, Y, Z, T ), 'c_Pair'( U, W, Y, Z ) ), hAPP( hAPP(
% 1.00/1.38 X, U ), W ) ) ],
% 1.00/1.38 [ hBOOL( hAPP( hAPP( hAPP( X, Y ), Z ), T ) ), ~( hBOOL( hAPP( hAPP(
% 1.00/1.38 'c_split'( X, U, W, 'tc_fun'( V0, 'tc_bool' ) ), 'c_Pair'( Y, Z, U, W ) )
% 1.00/1.38 , T ) ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~(
% 1.00/1.38 hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~(
% 1.00/1.38 hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 1.00/1.38 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X ),
% 1.00/1.38 'c_Set_Oimage'( T, Y, Z, U ), U ) ) ],
% 1.00/1.38 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X ),
% 1.00/1.38 'c_Set_Oimage'( T, Y, Z, U ), U ) ) ],
% 1.00/1.38 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( 'c_in'( Y,
% 1.00/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.00/1.38 'tc_bool' ) ), Y ) ) ) ],
% 1.00/1.38 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.00/1.38 'tc_bool' ) ), Y ) ) ) ],
% 1.00/1.38 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y,
% 1.00/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.00/1.38 'tc_bool' ) ), Y ) ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~(
% 1.00/1.38 'c_Wellfounded_Owf'( Y, Z ) ) ],
% 1.00/1.38 [ 'c_Relation_Osingle__valued'( 'c_Relation_OId__on'( X, Y ), Y, Y ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ 'c_Relation_Osym'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ), ~(
% 1.00/1.38 'c_Relation_Osym'( X, Y ) ) ],
% 1.00/1.38 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 1.00/1.38 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, Z, T ) ) ) ),
% 1.00/1.38 ~( hBOOL( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z, T ), T ) ) ) ],
% 1.00/1.38 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), X ), ~(
% 1.00/1.38 'c_Relation_Otrans'( X, Y ) ) ],
% 1.00/1.38 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 1.00/1.38 'v_sko__Wellfounded__Xacc__Xinducts__1'( X, Z ) ) ) ), ~( hBOOL( 'c_in'(
% 1.00/1.38 Y, 'c_Wellfounded_Oacc'( Z, 't_a' ), 't_a' ) ) ) ],
% 1.00/1.38 [ 'c_Relation_Osym'( X, Y ), ~( 'c_Relation_Osym'(
% 1.00/1.38 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 1.00/1.38 [ 'c_Relation_Osym'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 1.00/1.38 'c_Relation_Osym'( X, Y ) ) ],
% 1.00/1.38 [ =( 'c_Relation_ODomain'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 1.00/1.38 ), 'c_Relation_ODomain'( X, Y, Y ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1'( X, Y
% 1.00/1.38 , Z, T, U ), X, T ) ), ~( hBOOL( 'c_in'( Y, 'c_Relation_OImage'( Z, X, T
% 1.00/1.38 , U ), U ) ) ) ],
% 1.00/1.38 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.00/1.38 'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 1.00/1.38 ) ), Z, X ) ) ],
% 1.00/1.38 [ 'c_Relation_Osym'( 'c_Relation_OId'( X ), X ) ],
% 1.00/1.38 [ 'c_Relation_Otrans'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 1.00/1.38 [ =( 'c_Relation_Orel__comp'( 'c_Relation_OId'( X ), Y, X, X, Z ), Y ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ =( 'c_Relation_Orel__comp'( X, 'c_Relation_OId'( Y ), Z, Y, Y ), X ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ 'c_Relation_Oantisym'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 1.00/1.38 [ 'c_Wellfounded_Owf'( 'c_Relation_Oconverse'(
% 1.00/1.38 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y ), Y ), ~(
% 1.00/1.38 'c_Wellfounded_Owf'( 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 1.00/1.38 [ 'c_Relation_Orefl__on'( X, Y, Z ), ~( 'c_Relation_Orefl__on'( X,
% 1.00/1.38 'c_Relation_Oconverse'( Y, Z, Z ), Z ) ) ],
% 1.00/1.38 [ 'c_Relation_Orefl__on'( X, 'c_Relation_Oconverse'( Y, Z, Z ), Z ), ~(
% 1.00/1.38 'c_Relation_Orefl__on'( X, Y, Z ) ) ],
% 1.00/1.38 [ 'c_Relation_Osym'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ), ~(
% 1.00/1.38 'c_Relation_Osym'( X, Y ) ) ],
% 1.00/1.38 [ 'c_Wellfounded_Owf'( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), Y ),
% 1.00/1.38 ~( 'c_Wellfounded_Owf'( X, Y ) ) ],
% 1.00/1.38 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_Wellfounded_Owf'(
% 1.00/1.38 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), Y ) ) ],
% 1.00/1.38 [ =( 'c_Relation_OImage'( 'c_Relation_OId'( X ), Y, X, X ), Y ) ],
% 1.00/1.38 [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.00/1.38 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.00/1.38 'tc_bool' ) ) ) ],
% 1.00/1.38 [ 'c_Relation_Osingle__valued'( 'c_Relation_OId'( X ), X, X ) ],
% 1.00/1.38 [ =( 'c_Relation_ODomain'( 'c_Relation_OId__on'( X, Y ), Y, Y ), X ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ =( 'c_Relation_Oconverse'( X, Y, Y ), X ), ~( 'c_Relation_Osym'( X, Y
% 1.00/1.38 ) ) ],
% 1.00/1.38 [ ~( =( 'c_Relation_Oconverse'( X, Y, Y ), X ) ), 'c_Relation_Osym'( X,
% 1.00/1.38 Y ) ],
% 1.00/1.38 [ =( 'c_Relation_ORange'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 1.00/1.38 ), 'c_Relation_ORange'( X, Y, Y ) ) ],
% 1.00/1.38 [ 'c_Relation_Otrans'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ =( 'c_Relation_Oconverse'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ), Z
% 1.00/1.38 , U ), 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( Y, T, U ),
% 1.00/1.38 'c_Relation_Oconverse'( X, Z, T ), U, T, Z ) ) ],
% 1.00/1.38 [ 'c_Relation_Osym'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 1.00/1.38 [ 'c_Relation_Orefl__on'( X, 'c_Relation_OId__on'( X, Y ), Y ) ],
% 1.00/1.38 [ 'c_Wellfounded_Owf'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~(
% 1.00/1.38 'c_Wellfounded_Owf'( X, Z ) ) ],
% 1.00/1.38 [ =( 'c_Relation_Orel__comp'( X, 'c_Transitive__Closure_Ortrancl'( X, Y
% 1.00/1.38 ), Y, Y, Y ), 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'(
% 1.00/1.38 X, Y ), X, Y, Y, Y ) ) ],
% 1.00/1.38 [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP(
% 1.00/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 1.00/1.38 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.00/1.38 [ 'c_Relation_Osym'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~(
% 1.00/1.38 'c_Relation_Osym'( X, Z ) ) ],
% 1.00/1.38 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.00/1.38 'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 1.00/1.38 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.00/1.38 [ =( 'c_Transitive__Closure_Otrancl'( 'c_Transitive__Closure_Ortrancl'(
% 1.00/1.38 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 1.00/1.38 [ 'c_Relation_Otrans'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ 'c_Relation_Otrans'( X, Y ), ~( 'c_Relation_Otrans'(
% 1.00/1.38 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 1.00/1.38 [ 'c_Relation_Otrans'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 1.00/1.38 'c_Relation_Otrans'( X, Y ) ) ],
% 1.00/1.38 [ =( 'c_Relation_Oconverse'( 'c_Relation_OId'( X ), X, X ),
% 1.00/1.38 'c_Relation_OId'( X ) ) ],
% 1.00/1.38 [ 'c_Wellfounded_Owf'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ), ~(
% 1.00/1.38 'c_Wellfounded_Owf'( X, Y ) ) ],
% 1.00/1.38 [ =( 'c_Relation_OImage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 1.00/1.38 , 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.00/1.38 'tc_bool' ) ) ) ],
% 1.00/1.38 [ =( 'c_Relation_Orel__comp'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 1.00/1.38 W, Z, U, V0 ), 'c_Relation_Orel__comp'( X, 'c_Relation_Orel__comp'( Y, W
% 1.00/1.38 , T, U, V0 ), Z, T, V0 ) ) ],
% 1.00/1.38 [ =( 'c_Relation_Oconverse'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T,
% 1.00/1.38 T ), 'c_Relation_Oinv__image'( 'c_Relation_Oconverse'( X, Z, Z ), Y, Z, T
% 1.00/1.38 ) ) ],
% 1.00/1.38 [ =( 'c_Transitive__Closure_Otrancl'( 'c_Relation_Oconverse'( X, Y, Y )
% 1.00/1.38 , Y ), 'c_Relation_Oconverse'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y
% 1.00/1.38 , Y ) ) ],
% 1.00/1.38 [ 'c_Relation_Otrans'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~(
% 1.00/1.38 'c_Relation_Otrans'( X, Z ) ) ],
% 1.00/1.38 [ =( 'c_Relation_Oconverse'( 'c_Relation_OId__on'( X, Y ), Y, Y ),
% 1.00/1.38 'c_Relation_OId__on'( X, Y ) ) ],
% 1.00/1.38 [ ~( =( 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X, Y, Y ), X, Y
% 1.00/1.38 , Y, Y ), X ) ), 'c_Equiv__Relations_Oequiv'( 'c_Relation_ODomain'( X, Y
% 1.00/1.38 , Y ), X, Y ) ],
% 1.00/1.38 [ 'c_Relation_Oantisym'( 'c_Relation_OId'( X ), X ) ],
% 1.00/1.38 [ =( 'c_Relation_ORange'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 1.00/1.38 'c_Relation_ODomain'( X, Y, Z ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'(
% 1.00/1.38 'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1'( X, Y, Z ), X,
% 1.00/1.38 Z ) ), ~( hBOOL( 'c_in'( T, X, Z ) ) ), ~( 'c_Wellfounded_Owf'( Y, Z ) )
% 1.00/1.38 ],
% 1.00/1.38 [ =( 'c_Relation_ORange'( 'c_Relation_OId__on'( X, Y ), Y, Y ), X ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ 'c_Relation_Osingle__valued'( 'c_Relation_Orel__comp'( X, Y, Z, T, U )
% 1.00/1.38 , Z, U ), ~( 'c_Relation_Osingle__valued'( Y, T, U ) ), ~(
% 1.00/1.38 'c_Relation_Osingle__valued'( X, Z, T ) ) ],
% 1.00/1.38 [ =( 'c_Relation_Oconverse'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 1.00/1.38 X ) ],
% 1.00/1.38 [ 'c_Relation_Otrans'( 'c_Relation_OId'( X ), X ) ],
% 1.00/1.38 [ =( 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X, Y, Y ), X, Y, Y
% 1.00/1.38 , Y ), X ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y ) ) ],
% 1.00/1.38 [ =( 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 1.00/1.38 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ),
% 1.00/1.38 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 1.00/1.38 [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'(
% 1.00/1.38 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 1.00/1.38 [ 'c_Relation_Oantisym'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 1.00/1.38 'c_Relation_Oantisym'( X, Y ) ) ],
% 1.00/1.38 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.00/1.38 ) ), Y ) ) ) ],
% 1.00/1.38 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 1.00/1.38 'v_sko__Wellfounded__Xacc__Xinduct__1'( X, Z ) ) ) ), ~( hBOOL( 'c_in'( Y
% 1.00/1.38 , 'c_Wellfounded_Oacc'( Z, 't_a' ), 't_a' ) ) ) ],
% 1.00/1.38 [ 'c_Relation_Orefl__on'( X, Y, Z ), ~( 'c_Equiv__Relations_Oequiv'( X,
% 1.00/1.38 Y, Z ) ) ],
% 1.00/1.38 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Relation_Oconverse'( X, Y, Y )
% 1.00/1.38 , Y ), 'c_Relation_Oconverse'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 1.00/1.38 Y, Y ) ) ],
% 1.00/1.38 [ 'c_Relation_Ototal__on'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.00/1.38 'tc_bool' ) ), Y, X ) ],
% 1.00/1.38 [ 'c_Relation_Osym'( X, Y ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y ) )
% 1.00/1.38 ],
% 1.00/1.38 [ hBOOL( 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~( hBOOL(
% 1.00/1.38 'c_in'( 'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1'( Y, X, Z )
% 1.00/1.38 , 'c_Wellfounded_Oacc'( Y, Z ), Z ) ) ) ],
% 1.00/1.38 [ 'c_Equiv__Relations_Ocongruent'( X, hAPP( Y, Z ), T, U ), ~( hBOOL(
% 1.00/1.38 'c_in'( Z, W, V0 ) ) ), ~( 'c_Equiv__Relations_Ocongruent2'( V1, X, Y, V0
% 1.00/1.38 , T, U ) ), ~( 'c_Equiv__Relations_Oequiv'( W, V1, V0 ) ) ],
% 1.00/1.38 [ =( 'c_Relation_ODomain'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 1.00/1.38 'c_Relation_ORange'( X, Y, Z ) ) ],
% 1.00/1.38 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_Orel__comp'(
% 1.00/1.38 'c_Transitive__Closure_Ortrancl'( X, Y ), X, Y, Y, Y ) ) ],
% 1.00/1.38 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_Orel__comp'( X
% 1.00/1.38 , 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ) ) ],
% 1.00/1.38 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Orderings_Obot__class_Obot'(
% 1.00/1.38 'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 1.00/1.38 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.00/1.38 [ =( 'c_Relation_ORange'( X, Y, Z ), 'c_Relation_ODomain'(
% 1.00/1.38 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ) ) ],
% 1.00/1.38 [ 'c_Relation_Ototal__on'( X, Y, Z ), ~( 'c_Relation_Ototal__on'( X,
% 1.00/1.38 'c_Relation_Oconverse'( Y, Z, Z ), Z ) ) ],
% 1.00/1.38 [ 'c_Relation_Ototal__on'( X, 'c_Relation_Oconverse'( Y, Z, Z ), Z ),
% 1.00/1.38 ~( 'c_Relation_Ototal__on'( X, Y, Z ) ) ],
% 1.00/1.38 [ 'c_Relation_Otrans'( X, Y ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y )
% 1.00/1.38 ) ],
% 1.00/1.38 [ hBOOL( hAPP( X, Y ) ), hBOOL( 'c_in'(
% 1.00/1.38 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, Z, T ),
% 1.00/1.38 'c_Wellfounded_Oacc'( Z, T ), T ) ), ~( hBOOL( 'c_in'( Y,
% 1.00/1.38 'c_Wellfounded_Oacc'( Z, T ), T ) ) ) ],
% 1.00/1.38 [ ~( =( 'v_a____', 'v_b____' ) ) ],
% 1.00/1.38 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Transitive__Closure_Otrancl'(
% 1.00/1.38 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 1.00/1.38 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Transitive__Closure_Ortrancl'(
% 1.00/1.38 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XRangeE__1__1'(
% 1.00/1.38 X, Y, Z, T ), X, T, Z ), Y, 'tc_prod'( T, Z ) ) ), ~( hBOOL( 'c_in'( X,
% 1.00/1.38 'c_Relation_ORange'( Y, T, Z ), Z ) ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), hBOOL( 'c_in'(
% 1.00/1.38 'c_Pair'( 'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1'( Y, X, Z
% 1.00/1.38 ), X, Z, Z ), Y, 'tc_prod'( Z, Z ) ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~( hBOOL(
% 1.00/1.38 'c_in'( T, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ) ), ~( hBOOL( 'c_in'(
% 1.00/1.38 'c_Pair'( X, T, Z, Z ), 'c_Transitive__Closure_Ortrancl'( Y, Z ),
% 1.00/1.38 'tc_prod'( Z, Z ) ) ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~( hBOOL(
% 1.00/1.38 'c_in'( 'c_Pair'( X, T, Z, Z ), 'c_Transitive__Closure_Ortrancl'( Y, Z )
% 1.00/1.38 , 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( T, 'c_Wellfounded_Oacc'( Y,
% 1.00/1.38 Z ), Z ) ) ) ],
% 1.00/1.38 [ hBOOL( hAPP( X, Y ) ), hBOOL( 'c_in'( Z, 'c_Wellfounded_Oacc'( T,
% 1.00/1.38 't_a' ), 't_a' ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Z,
% 1.00/1.38 'v_sko__Wellfounded__Xacc__Xinducts__1'( X, T ), 't_a', 't_a' ), T,
% 1.00/1.38 'tc_prod'( 't_a', 't_a' ) ) ) ), ~( hBOOL( 'c_in'( Y,
% 1.00/1.38 'c_Wellfounded_Oacc'( T, 't_a' ), 't_a' ) ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, Z ), Z ) ), hBOOL(
% 1.00/1.38 'c_in'( 'c_Pair'( X, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( Y, Z )
% 1.00/1.38 , 'tc_prod'( Z, Z ) ) ) ],
% 1.00/1.38 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( 'c_in'(
% 1.00/1.38 'c_Pair'( Z, 'v_sko__Wellfounded__Xacc__Xinducts__1'( X, T ), 't_a',
% 1.00/1.38 't_a' ), T, 'tc_prod'( 't_a', 't_a' ) ) ) ), ~( hBOOL( 'c_in'( Y,
% 1.00/1.38 'c_Wellfounded_Oacc'( T, 't_a' ), 't_a' ) ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( hAPP( hAPP( X, Y ), Z ), 'c_Set_Oimage'( 'c_split'( X,
% 1.00/1.38 T, U, W ), V0, 'tc_prod'( T, U ), W ), W ) ), ~( hBOOL( 'c_in'( 'c_Pair'(
% 1.00/1.38 Y, Z, T, U ), V0, 'tc_prod'( T, U ) ) ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 1.00/1.38 'c_ATP__Linkup_Osko__Relation__XDomainE__1__1'( X, Y, Z, T ), Z, T ), Y,
% 1.00/1.38 'tc_prod'( Z, T ) ) ), ~( hBOOL( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T
% 1.00/1.38 ), Z ) ) ) ],
% 1.00/1.38 [ hBOOL( hAPP( X, Y ) ), hBOOL( 'c_in'( Z, 'c_Wellfounded_Oacc'( T,
% 1.00/1.38 't_a' ), 't_a' ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Z,
% 1.00/1.38 'v_sko__Wellfounded__Xacc__Xinduct__1'( X, T ), 't_a', 't_a' ), T,
% 1.00/1.38 'tc_prod'( 't_a', 't_a' ) ) ) ), ~( hBOOL( 'c_in'( Y,
% 1.00/1.38 'c_Wellfounded_Oacc'( T, 't_a' ), 't_a' ) ) ) ],
% 1.00/1.38 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( 'c_in'(
% 1.00/1.38 'c_Pair'( Z, 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, T
% 1.00/1.38 , U ), U, U ), T, 'tc_prod'( U, U ) ) ) ), ~( hBOOL( 'c_in'( Y,
% 1.00/1.38 'c_Wellfounded_Oacc'( T, U ), U ) ) ) ],
% 1.00/1.38 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X,
% 1.00/1.38 'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1'( Y, T, Z ), Z,
% 1.00/1.38 Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( U, Y, Z ) ) ), ~(
% 1.00/1.38 'c_Wellfounded_Owf'( T, Z ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 1.00/1.38 'c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1'( X, Y, Z, T ), Z, T )
% 1.00/1.38 , Y, 'tc_prod'( Z, T ) ) ), ~( hBOOL( 'c_in'( X, 'c_Relation_ODomain'( Y
% 1.00/1.38 , Z, T ), Z ) ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'(
% 1.00/1.38 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1'( X, Y, Z, T, U ), Y, T
% 1.00/1.38 , U ), Z, 'tc_prod'( T, U ) ) ), ~( hBOOL( 'c_in'( Y, 'c_Relation_OImage'(
% 1.00/1.38 Z, X, T, U ), U ) ) ) ],
% 1.00/1.38 [ =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 1.00/1.38 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), hBOOL(
% 1.00/1.38 'c_in'( X, 'c_Relation_ODomain'( T, Z, Z ), Z ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'(
% 1.00/1.38 'c_ATP__Linkup_Osko__Relation__XRange__iff__1__1'( X, Y, Z, T ), X, T, Z
% 1.00/1.38 ), Y, 'tc_prod'( T, Z ) ) ), ~( hBOOL( 'c_in'( X, 'c_Relation_ORange'( Y
% 1.00/1.38 , T, Z ), Z ) ) ) ],
% 1.00/1.38 [ ~( =( 'v_b____', 'v_a_H____' ) ) ],
% 1.00/1.38 [ ~( =( 'v_a____', 'v_b_H____' ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( X, hAPP( 'c_split'( Y, Z, T, 'tc_fun'( U, 'tc_bool' ) )
% 1.00/1.38 , 'c_Pair'( W, V0, Z, T ) ), U ) ), ~( hBOOL( 'c_in'( X, hAPP( hAPP( Y, W
% 1.00/1.38 ), V0 ), U ) ) ) ],
% 1.00/1.38 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, T ), U ) ), ~( hBOOL(
% 1.00/1.38 'c_in'( 'c_Pair'( Z, U, W, W ), V0, 'tc_prod'( W, W ) ) ) ), ~( hBOOL(
% 1.00/1.38 'c_in'( 'c_Pair'( Y, T, V1, V1 ), V2, 'tc_prod'( V1, V1 ) ) ) ), ~(
% 1.00/1.38 'c_Equiv__Relations_Ocongruent2'( V2, V0, X, V1, W, V3 ) ) ],
% 1.00/1.38 [ =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( Z, Y, T, U ), W, 'tc_prod'( T,
% 1.00/1.38 U ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Z, X, T, U ), W, 'tc_prod'( T, U )
% 1.00/1.38 ) ) ), ~( 'c_Relation_Osingle__valued'( W, T, U ) ) ],
% 1.00/1.38 [ =( hAPP( 'c_Recdef_Ocut'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), ~(
% 1.00/1.38 hBOOL( 'c_in'( 'c_Pair'( W, Z, T, T ), Y, 'tc_prod'( T, T ) ) ) ) ],
% 1.00/1.38 [ =( hAPP( 'c_Recdef_Ocut'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), ~(
% 1.00/1.38 hBOOL( 'c_in'( 'c_Pair'( W, Z, T, T ), Y, 'tc_prod'( T, T ) ) ) ) ],
% 1.00/1.38 [ hBOOL( hAPP( hAPP( 'c_FunDef_Oin__rel'( X, Y, Z ), T ), U ) ), ~(
% 1.00/1.38 hBOOL( 'c_in'( 'c_Pair'( T, U, Y, Z ), X, 'tc_prod'( Y, Z ) ) ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), ~(
% 1.00/1.38 hBOOL( hAPP( hAPP( 'c_FunDef_Oin__rel'( U, Z, T ), X ), Y ) ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 1.00/1.38 hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~(
% 1.00/1.38 hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~(
% 1.00/1.38 'c_Relation_Otrans'( T, Z ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 1.00/1.38 hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~(
% 1.00/1.38 hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~(
% 1.00/1.38 'c_Relation_Otrans'( T, Z ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Oconverse'( U, T, Z
% 1.00/1.38 ), 'tc_prod'( Z, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, X, T, Z ), U,
% 1.00/1.38 'tc_prod'( T, Z ) ) ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Oconverse'( U, T, Z
% 1.00/1.38 ), 'tc_prod'( Z, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, X, T, Z ), U,
% 1.00/1.38 'tc_prod'( T, Z ) ) ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), ~(
% 1.00/1.38 hBOOL( 'c_in'( 'c_Pair'( Y, X, T, Z ), 'c_Relation_Oconverse'( U, Z, T )
% 1.00/1.38 , 'tc_prod'( T, Z ) ) ) ) ],
% 1.00/1.38 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ) ),
% 1.00/1.38 ~( 'c_Relation_Oirrefl'( Z, Y ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 1.00/1.38 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 1.00/1.38 T, 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ),
% 1.00/1.38 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 1.00/1.38 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 1.00/1.38 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~(
% 1.00/1.38 hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 1.00/1.38 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL(
% 1.00/1.38 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL(
% 1.00/1.38 'c_in'( 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z )
% 1.00/1.38 , 'tc_prod'( Z, Z ) ) ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 1.00/1.38 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL(
% 1.00/1.38 'c_in'( 'c_Pair'( U, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z )
% 1.00/1.38 , 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), T,
% 1.00/1.38 'tc_prod'( Z, Z ) ) ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 1.00/1.38 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 1.00/1.38 T, 'tc_prod'( Z, Z ) ) ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 1.00/1.38 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL(
% 1.00/1.38 'c_in'( 'c_Pair'( U, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z )
% 1.00/1.38 , 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ),
% 1.00/1.38 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ),
% 1.00/1.38 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_prod'( Y, Y ) ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ),
% 1.00/1.38 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_prod'( Y, Y ) ) ) ],
% 1.00/1.38 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ),
% 1.00/1.38 ~( hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~(
% 1.00/1.38 'c_Wellfounded_Owf'( T, Z ) ) ],
% 1.00/1.38 [ =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z,
% 1.00/1.38 Z ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z )
% 1.00/1.38 ) ) ), ~( 'c_Relation_Oantisym'( T, Z ) ) ],
% 1.00/1.38 [ =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z,
% 1.00/1.38 Z ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z )
% 1.00/1.38 ) ) ), ~( 'c_Relation_Oantisym'( T, Z ) ) ],
% 1.00/1.38 [ =( hAPP( X, Y ), hAPP( X, Z ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, Z, T,
% 1.00/1.38 T ), U, 'tc_prod'( T, T ) ) ) ), ~( 'c_Equiv__Relations_Ocongruent'( U, X
% 1.00/1.38 , T, W ) ) ],
% 1.00/1.38 [ =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 1.00/1.38 'c_Relation_OId__on'( T, Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 1.00/1.38 [ ~( =( 'c_Recdef_Ocut'( X, Y, Z, T, U ), 'c_Recdef_Ocut'( W, Y, Z, T, U
% 1.00/1.38 ) ) ), =( hAPP( X, V0 ), hAPP( W, V0 ) ), ~( hBOOL( 'c_in'( 'c_Pair'( V0
% 1.00/1.38 , Z, T, T ), Y, 'tc_prod'( T, T ) ) ) ) ],
% 1.00/1.38 [ =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId'(
% 1.00/1.38 Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ), ~(
% 1.00/1.38 'c_Nitpick_Orefl_H'( Z, Y ) ) ],
% 1.00/1.38 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ) ),
% 1.00/1.38 ~( 'c_Wellfounded_Owf'( Z, Y ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_Oinv__image'( T, U
% 1.00/1.38 , W, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( hAPP( U, X )
% 1.00/1.38 , hAPP( U, Y ), W, W ), T, 'tc_prod'( W, W ) ) ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'( hAPP( X, Y ), hAPP( X, Z ), T, T ), U,
% 1.00/1.38 'tc_prod'( T, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, Z, W, W ),
% 1.00/1.38 'c_Relation_Oinv__image'( U, X, T, W ), 'tc_prod'( W, W ) ) ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 1.00/1.38 hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~(
% 1.00/1.38 'c_Relation_Osym'( T, Z ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 1.00/1.38 hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~(
% 1.00/1.38 'c_Relation_Osym'( T, Z ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Orel__comp'( U, W,
% 1.00/1.38 Z, V0, T ), 'tc_prod'( Z, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( V1, Y, V0
% 1.00/1.38 , T ), W, 'tc_prod'( V0, T ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, V1, Z
% 1.00/1.38 , V0 ), U, 'tc_prod'( Z, V0 ) ) ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 1.00/1.38 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 1.00/1.38 T, 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), T,
% 1.00/1.38 'tc_prod'( Z, Z ) ) ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 1.00/1.38 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 1.00/1.38 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~(
% 1.00/1.38 hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Otrancl'( T
% 1.00/1.38 , Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId'( Y ),
% 1.00/1.38 'tc_prod'( Y, Y ) ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId'( Y ),
% 1.00/1.38 'tc_prod'( Y, Y ) ) ) ],
% 1.00/1.38 [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' )
% 1.00/1.38 ), 'v_x' ), 'c_in'( 'v_x', 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.00/1.38 't_a', 'tc_bool' ) ), 't_a' ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.00/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 1.00/1.38 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.00/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y
% 1.00/1.38 , 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' )
% 1.00/1.38 , Z, 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.00/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), =( X, Y ), =( X, T ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.00/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 1.00/1.38 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.00/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y
% 1.00/1.38 , 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' )
% 1.00/1.38 , Z, 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.00/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), =( Y, T ), =( X, T ) ],
% 1.00/1.38 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.00/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 1.00/1.38 Y, X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.00/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ) ],
% 1.00/1.38 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.00/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 1.00/1.38 Z, X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.00/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.00/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 1.00/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.00/1.38 ), =( Y, T ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y,
% 1.00/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.00/1.38 'c_Arrow__Order__Mirabelle_Omktop'( Z, T ), 'tc_prod'(
% 1.00/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.00/1.38 ) ) ],
% 1.00/1.38 [ =( X, Y ), =( Y, X ), hBOOL( 'c_in'( 'c_Pair'( X, Y,
% 1.00/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.00/1.38 'c_Arrow__Order__Mirabelle_Omkbot'( Z, X ), 'tc_prod'(
% 1.00/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.00/1.38 ) ],
% 1.00/1.38 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.00/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 1.00/1.38 Y, X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.00/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ) ],
% 1.00/1.38 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.00/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 1.00/1.38 Z, Y ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.00/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.00/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 1.00/1.38 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.00/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y
% 1.00/1.38 , 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' )
% 1.00/1.38 , Z, 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.00/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), =( X, Y ), =( Y, T ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.00/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 1.00/1.38 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.00/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y
% 1.00/1.38 , 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' )
% 1.00/1.38 , Z, 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.00/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), =( X, T ), =( Y, T ) ],
% 1.00/1.38 [ =( X, Y ), =( X, Y ), hBOOL( 'c_in'( 'c_Pair'( X, Y,
% 1.00/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.00/1.38 'c_Arrow__Order__Mirabelle_Omktop'( Z, Y ), 'tc_prod'(
% 1.00/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.00/1.38 ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.00/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 1.00/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.00/1.38 ), =( X, T ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y,
% 1.00/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.00/1.38 'c_Arrow__Order__Mirabelle_Omkbot'( Z, T ), 'tc_prod'(
% 1.00/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.00/1.38 ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.00/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.00/1.38 'v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1'( X, Y ), 'tc_prod'(
% 1.00/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.00/1.38 ), =( X, Y ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'( 'v_a____', 'v_b____',
% 1.00/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.00/1.38 hAPP( 'v_P____', X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.00/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'(
% 1.00/1.38 'v_a_H____', 'v_b_H____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.00/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_P_H____'( X ), 'tc_prod'(
% 1.00/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.00/1.38 ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'( 'v_a_H____', 'v_b_H____',
% 1.00/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.00/1.38 'v_P_H____'( X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.00/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'(
% 1.00/1.38 'v_a____', 'v_b____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.00/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_P____', X ), 'tc_prod'(
% 1.00/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.00/1.38 ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Product__Type_OSigma'( U, W
% 1.00/1.38 , Z, T ), 'tc_prod'( Z, T ) ) ), ~( hBOOL( 'c_in'( Y, hAPP( W, X ), T ) )
% 1.00/1.38 ), ~( hBOOL( 'c_in'( X, U, Z ) ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Product__Type_OSigma'( U, W
% 1.00/1.38 , Z, T ), 'tc_prod'( Z, T ) ) ), ~( hBOOL( 'c_in'( Y, hAPP( W, X ), T ) )
% 1.00/1.38 ), ~( hBOOL( 'c_in'( X, U, Z ) ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~( hBOOL(
% 1.00/1.38 'c_in'( 'c_Pair'( X, T, Z, Z ), Y, 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL(
% 1.00/1.38 'c_in'( T, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~( hBOOL(
% 1.00/1.38 'c_in'( 'c_Pair'( X, T, Z, Z ), Y, 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL(
% 1.00/1.38 'c_in'( T, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ), ~( hBOOL(
% 1.00/1.38 'c_in'( 'c_Pair'( W, X, T, U ), Y, 'tc_prod'( T, U ) ) ) ), ~( hBOOL(
% 1.00/1.38 'c_in'( W, Z, T ) ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ), ~( hBOOL(
% 1.00/1.38 'c_in'( 'c_Pair'( W, X, T, U ), Y, 'tc_prod'( T, U ) ) ) ), ~( hBOOL(
% 1.00/1.38 'c_in'( W, Z, T ) ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, T, Z, Z ),
% 1.00/1.38 'c_Relation_OId__on'( Y, Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId__on'( Z, Y ),
% 1.00/1.38 'tc_prod'( Y, Y ) ) ), ~( hBOOL( 'c_in'( X, Z, Y ) ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( 'c_Pair'( T, X, Z, Z ),
% 1.00/1.38 U, 'tc_prod'( Z, Z ) ) ) ), ~( 'c_Equiv__Relations_Oequiv'( Y, U, Z ) ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, T, Z, Z ),
% 1.00/1.38 U, 'tc_prod'( Z, Z ) ) ) ), ~( 'c_Equiv__Relations_Oequiv'( Y, U, Z ) ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ hBOOL( 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ) ), ~( hBOOL(
% 1.00/1.38 'c_in'( 'c_Pair'( U, X, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ) ), ~( hBOOL(
% 1.00/1.38 'c_in'( 'c_Pair'( U, X, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ) ), ~( hBOOL(
% 1.00/1.38 'c_in'( 'c_Pair'( X, U, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ) ), ~( hBOOL(
% 1.00/1.38 'c_in'( 'c_Pair'( X, U, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( X, hAPP( Y, Z ), T ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Z,
% 1.00/1.38 X, U, T ), 'c_Product__Type_OSigma'( W, Y, U, T ), 'tc_prod'( U, T ) ) )
% 1.00/1.38 ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, T, Z, U ),
% 1.00/1.38 'c_Product__Type_OSigma'( Y, W, Z, U ), 'tc_prod'( Z, U ) ) ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), hBOOL(
% 1.00/1.38 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), =( Y, X ), ~(
% 1.00/1.38 hBOOL( 'c_in'( X, U, Z ) ) ), ~( hBOOL( 'c_in'( Y, U, Z ) ) ), ~(
% 1.00/1.38 'c_Relation_Ototal__on'( U, T, Z ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ), ~(
% 1.00/1.38 hBOOL( 'c_in'( X, T, Y ) ) ), ~( 'c_Relation_Orefl__on'( T, Z, Y ) ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( 'c_Pair'( T, X, Z, Z ),
% 1.00/1.38 U, 'tc_prod'( Z, Z ) ) ) ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, T, Z, Z ),
% 1.00/1.38 U, 'tc_prod'( Z, Z ) ) ) ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ), ~(
% 1.00/1.38 hBOOL( 'c_in'( X, T, Y ) ) ), ~( 'c_Relation_Orefl__on'( T, Z, Y ) ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'( 'v_a_H____', 'v_b_H____',
% 1.00/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.00/1.38 'v_F'( 'v_Q____' ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.00/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 1.00/1.38 [ ~( =( 'v_a_H____', 'v_b_H____' ) ) ],
% 1.00/1.38 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( Y, W ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( X, U ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 1.00/1.38 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'( 'v_a____', 'v_b____',
% 1.00/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.00/1.38 hAPP( 'v_P____', X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.00/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'(
% 1.00/1.38 'v_a_H____', 'v_b_H____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.00/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_P_H____'( X ), 'tc_prod'(
% 1.00/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.00/1.38 ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'( 'v_a_H____', 'v_b_H____',
% 1.00/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.00/1.38 'v_P_H____'( X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.00/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'(
% 1.00/1.38 'v_a____', 'v_b____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.00/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_P____', X ), 'tc_prod'(
% 1.00/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.00/1.38 ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'v_P____', 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 1.00/1.38 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.00/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.00/1.38 'tc_bool' ) ) ) ) ],
% 1.00/1.38 [ ~( =( 'v_b____', 'v_a_H____' ) ) ],
% 1.00/1.38 [ ~( =( 'v_a____', 'v_b_H____' ) ) ],
% 1.00/1.38 [ ~( =( 'v_a_H____', 'v_b_H____' ) ) ],
% 1.00/1.38 [ ~( =( 'v_a____', 'v_b____' ) ) ],
% 1.00/1.38 [ hBOOL( 'c_in'( 'c_Pair'( 'v_a_H____', 'v_b_H____',
% 1.00/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.00/1.38 'v_P_H____'( 'v_x' ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.00/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), hBOOL( 'c_in'( 'c_Pair'(
% 1.00/1.38 'v_a_H____', 'v_b_H____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.00/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_Q____', 'v_x' ), 'tc_prod'(
% 1.00/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.00/1.38 ) ],
% 1.00/1.38 [ ~( hBOOL( 'c_in'( 'c_Pair'( 'v_a_H____', 'v_b_H____',
% 1.00/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.00/1.38 'v_P_H____'( 'v_x' ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.00/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'(
% 1.00/1.38 'v_a_H____', 'v_b_H____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.00/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_Q____', 'v_x' ), 'tc_prod'(
% 1.00/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.00/1.38 ) ) ],
% 1.00/1.38 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 1.00/1.38 'class_Lattices_Olattice'( Y ) ) ],
% 1.00/1.38 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 1.00/1.38 'class_Lattices_Olattice'( Y ) ) ],
% 1.00/1.38 [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.00/1.38 'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 1.00/1.38 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.00/1.38 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 1.00/1.38 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 1.00/1.38 'class_Orderings_Opreorder'( Y ) ) ],
% 1.00/1.38 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 1.00/1.38 'class_Lattices_Olattice'( Y ) ) ],
% 1.00/1.38 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 1.00/1.38 'class_Orderings_Oorder'( Y ) ) ],
% 1.00/1.38 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 1.00/1.38 Y ) ) ],
% 1.00/1.38 [ 'class_HOL_Ominus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ominus'( Y ) ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 1.00/1.38 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 1.00/1.38 [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 1.00/1.38 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 1.00/1.38 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 1.00/1.38 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 1.00/1.38 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 1.00/1.38 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 1.00/1.38 [ 'class_HOL_Ominus'( 'tc_bool' ) ],
% 1.00/1.38 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 1.00/1.38 [ 'c_fequal'( X, X, Y ) ],
% 1.00/1.38 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 1.00/1.38 ] .
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 percentage equality = 0.242146, percentage horn = 0.886762
% 1.00/1.38 This is a problem with some equality
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 Options Used:
% 1.00/1.38
% 1.00/1.38 useres = 1
% 1.00/1.38 useparamod = 1
% 1.00/1.38 useeqrefl = 1
% 1.00/1.38 useeqfact = 1
% 1.00/1.38 usefactor = 1
% 1.00/1.38 usesimpsplitting = 0
% 1.00/1.38 usesimpdemod = 5
% 1.00/1.38 usesimpres = 3
% 1.00/1.38
% 1.00/1.38 resimpinuse = 1000
% 1.00/1.38 resimpclauses = 20000
% 1.00/1.38 substype = eqrewr
% 1.00/1.38 backwardsubs = 1
% 1.00/1.38 selectoldest = 5
% 1.00/1.38
% 1.00/1.38 litorderings [0] = split
% 1.00/1.38 litorderings [1] = extend the termordering, first sorting on arguments
% 1.00/1.38
% 1.00/1.38 termordering = kbo
% 1.00/1.38
% 1.00/1.38 litapriori = 0
% 1.00/1.38 termapriori = 1
% 1.00/1.38 litaposteriori = 0
% 1.00/1.38 termaposteriori = 0
% 1.00/1.38 demodaposteriori = 0
% 1.00/1.38 ordereqreflfact = 0
% 1.00/1.38
% 1.00/1.38 litselect = negord
% 1.00/1.38
% 1.00/1.38 maxweight = 15
% 1.00/1.38 maxdepth = 30000
% 1.00/1.38 maxlength = 115
% 1.00/1.38 maxnrvars = 195
% 1.00/1.38 excuselevel = 1
% 1.00/1.38 increasemaxweight = 1
% 1.00/1.38
% 1.00/1.38 maxselected = 10000000
% 1.00/1.38 maxnrclauses = 10000000
% 1.00/1.38
% 1.00/1.38 showgenerated = 0
% 1.00/1.38 showkept = 0
% 1.00/1.38 showselected = 0
% 1.00/1.38 showdeleted = 0
% 1.00/1.38 showresimp = 1
% 1.00/1.38 showstatus = 2000
% 1.00/1.38
% 1.00/1.38 prologoutput = 1
% 1.00/1.38 nrgoals = 5000000
% 1.00/1.38 totalproof = 1
% 1.00/1.38
% 1.00/1.38 Symbols occurring in the translation:
% 1.00/1.38
% 1.00/1.38 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.00/1.38 . [1, 2] (w:1, o:104, a:1, s:1, b:0),
% 1.00/1.38 ! [4, 1] (w:0, o:81, a:1, s:1, b:0),
% 1.00/1.38 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.00/1.38 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.00/1.38 'c_Transitive__Closure_Ortrancl' [41, 2] (w:1, o:129, a:1, s:1, b:0)
% 1.00/1.38 ,
% 1.00/1.38 'tc_prod' [43, 2] (w:1, o:130, a:1, s:1, b:0),
% 1.00/1.38 'tc_bool' [44, 0] (w:1, o:16, a:1, s:1, b:0),
% 1.00/1.38 'tc_fun' [45, 2] (w:1, o:131, a:1, s:1, b:0),
% 1.00/1.38 'c_lessequals' [46, 3] (w:1, o:158, a:1, s:1, b:0),
% 1.00/1.38 'c_Lattices_Oupper__semilattice__class_Osup' [47, 3] (w:1, o:159, a:1
% 1.00/1.38 , s:1, b:0),
% 1.00/1.38 'c_Relation_Osym' [48, 2] (w:1, o:132, a:1, s:1, b:0),
% 1.00/1.38 'c_Pair' [52, 4] (w:1, o:189, a:1, s:1, b:0),
% 1.00/1.38 'c_Set_Oinsert' [53, 3] (w:1, o:166, a:1, s:1, b:0),
% 1.00/1.38 'c_Relation_ODomain' [54, 3] (w:1, o:160, a:1, s:1, b:0),
% 1.00/1.38 hAPP [57, 2] (w:1, o:133, a:1, s:1, b:0),
% 1.00/1.38 hBOOL [58, 1] (w:1, o:86, a:1, s:1, b:0),
% 1.00/1.38 'c_Lattices_Olower__semilattice__class_Oinf' [61, 3] (w:1, o:167, a:1
% 1.00/1.38 , s:1, b:0),
% 1.00/1.38 'c_Orderings_Obot__class_Obot' [62, 1] (w:1, o:87, a:1, s:1, b:0),
% 1.00/1.38 'c_HOL_Ominus__class_Ominus' [63, 3] (w:1, o:168, a:1, s:1, b:0),
% 1.00/1.38 'class_Orderings_Obot' [64, 1] (w:1, o:88, a:1, s:1, b:0),
% 1.00/1.38 'c_Relation_Orel__comp' [67, 5] (w:1, o:210, a:1, s:1, b:0),
% 1.00/1.38 'c_snd' [70, 2] (w:1, o:134, a:1, s:1, b:0),
% 1.00/1.38 'c_fst' [72, 2] (w:1, o:135, a:1, s:1, b:0),
% 1.00/1.38 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1' [76, 3] (w:1, o:
% 1.00/1.38 169, a:1, s:1, b:0),
% 1.00/1.38 'c_Wellfounded_Owf' [77, 2] (w:1, o:136, a:1, s:1, b:0),
% 1.00/1.38 'c_Relation_ORange' [78, 3] (w:1, o:161, a:1, s:1, b:0),
% 1.00/1.38 'c_in' [79, 3] (w:1, o:170, a:1, s:1, b:0),
% 1.00/1.38 'c_COMBK' [80, 3] (w:1, o:171, a:1, s:1, b:0),
% 1.00/1.38 'c_Product__Type_OSigma' [81, 4] (w:1, o:190, a:1, s:1, b:0),
% 1.00/1.38 'c_Transitive__Closure_Otrancl' [82, 2] (w:1, o:137, a:1, s:1, b:0),
% 1.00/1.38
% 1.00/1.38 'class_Lattices_Olattice' [85, 1] (w:1, o:89, a:1, s:1, b:0),
% 1.00/1.38 't_a' [88, 0] (w:1, o:49, a:1, s:1, b:0),
% 1.00/1.38 'v_x' [89, 0] (w:1, o:50, a:1, s:1, b:0),
% 1.00/1.38 'class_Lattices_Odistrib__lattice' [90, 1] (w:1, o:90, a:1, s:1, b:0)
% 1.00/1.38 ,
% 1.00/1.38 'c_Relation_OId__on' [92, 2] (w:1, o:138, a:1, s:1, b:0),
% 1.00/1.38 'c_Relation_Orefl__on' [93, 3] (w:1, o:162, a:1, s:1, b:0),
% 1.00/1.38 'class_Lattices_Oupper__semilattice' [94, 1] (w:1, o:91, a:1, s:1, b:
% 1.00/1.38 0),
% 1.00/1.38 'c_Relation_OImage' [97, 4] (w:1, o:191, a:1, s:1, b:0),
% 1.00/1.38 'c_List_Osko__Recdef__Xtfl__wf__induct__1__1' [99, 3] (w:1, o:172, a:
% 1.00/1.38 1, s:1, b:0),
% 1.00/1.38 'class_OrderedGroup_Oab__group__add' [102, 1] (w:1, o:92, a:1, s:1
% 1.00/1.38 , b:0),
% 1.00/1.38 'c_Set_Oimage' [105, 4] (w:1, o:193, a:1, s:1, b:0),
% 1.00/1.38 'class_Lattices_Olower__semilattice' [106, 1] (w:1, o:93, a:1, s:1
% 1.86/2.26 , b:0),
% 1.86/2.26 'class_Lattices_Obounded__lattice' [107, 1] (w:1, o:94, a:1, s:1, b:0
% 1.86/2.26 ),
% 1.86/2.26 'c_Relation_Otrans' [110, 2] (w:1, o:139, a:1, s:1, b:0),
% 1.86/2.26 'c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1' [112, 3] (w:1, o:
% 1.86/2.26 173, a:1, s:1, b:0),
% 1.86/2.26 'c_Wellfounded_Oacyclic' [113, 2] (w:1, o:140, a:1, s:1, b:0),
% 1.86/2.26 'c_Relation_Oconverse' [114, 3] (w:1, o:163, a:1, s:1, b:0),
% 1.86/2.26 'class_Orderings_Oorder' [115, 1] (w:1, o:95, a:1, s:1, b:0),
% 1.86/2.26 'c_split' [116, 4] (w:1, o:194, a:1, s:1, b:0),
% 1.86/2.26 'c_Relation_Oantisym' [117, 2] (w:1, o:141, a:1, s:1, b:0),
% 1.86/2.26 'c_Order__Relation_Ostrict__linear__order__on' [119, 3] (w:1, o:174
% 1.86/2.26 , a:1, s:1, b:0),
% 1.86/2.26 'c_Relation_OField' [120, 2] (w:1, o:142, a:1, s:1, b:0),
% 1.86/2.26 'c_Relation_Ototal__on' [121, 3] (w:1, o:165, a:1, s:1, b:0),
% 1.86/2.26 'class_HOL_Ominus' [123, 1] (w:1, o:96, a:1, s:1, b:0),
% 1.86/2.26 'v_r' [124, 0] (w:1, o:61, a:1, s:1, b:0),
% 1.86/2.26 'c_Wellfounded_Oacc' [126, 2] (w:1, o:143, a:1, s:1, b:0),
% 1.86/2.26 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1' [128, 3]
% 1.86/2.26 (w:1, o:175, a:1, s:1, b:0),
% 1.86/2.26 'c_List_Osko__Recdef__Xcuts__eq__1__1' [129, 6] (w:1, o:215, a:1, s:1
% 1.86/2.26 , b:0),
% 1.86/2.26 'c_Recdef_Ocut' [130, 5] (w:1, o:211, a:1, s:1, b:0),
% 1.86/2.26 'class_HOL_Oord' [131, 1] (w:1, o:97, a:1, s:1, b:0),
% 1.86/2.26 'class_Orderings_Opreorder' [132, 1] (w:1, o:98, a:1, s:1, b:0),
% 1.86/2.26 'c_Relation_Osingle__valued' [133, 3] (w:1, o:164, a:1, s:1, b:0),
% 1.86/2.26 'class_OrderedGroup_Opordered__ab__group__add' [134, 1] (w:1, o:99
% 1.86/2.26 , a:1, s:1, b:0),
% 1.86/2.26 'c_Equiv__Relations_Oequiv' [136, 3] (w:1, o:176, a:1, s:1, b:0),
% 1.86/2.26 'class_Orderings_Olinorder' [137, 1] (w:1, o:100, a:1, s:1, b:0),
% 1.86/2.26 'c_Relation_Oirrefl' [138, 2] (w:1, o:144, a:1, s:1, b:0),
% 1.86/2.26 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1'
% 1.86/2.26 [139, 4] (w:1, o:195, a:1, s:1, b:0),
% 1.86/2.26 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2'
% 1.86/2.26 [140, 4] (w:1, o:196, a:1, s:1, b:0),
% 1.86/2.26 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1' [141, 4
% 1.86/2.26 ] (w:1, o:197, a:1, s:1, b:0),
% 1.86/2.26 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2' [142, 4
% 1.86/2.26 ] (w:1, o:198, a:1, s:1, b:0),
% 1.86/2.26 'c_Relation_OId' [143, 1] (w:1, o:101, a:1, s:1, b:0),
% 1.86/2.26 'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1' [144, 3] (w:1, o:
% 1.86/2.26 177, a:1, s:1, b:0),
% 1.86/2.26 'c_ATP__Linkup_Osko__Relation__XImageE__1__1' [145, 5] (w:1, o:212
% 1.86/2.26 , a:1, s:1, b:0),
% 1.86/2.26 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1' [146, 3]
% 1.86/2.26 (w:1, o:178, a:1, s:1, b:0),
% 1.86/2.26 'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1' [147, 3] (w:
% 1.86/2.26 1, o:179, a:1, s:1, b:0),
% 1.86/2.26 'v_sko__Wellfounded__Xacc__Xinduct__1' [148, 2] (w:1, o:145, a:1, s:1
% 1.86/2.26 , b:0),
% 1.86/2.26 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1' [149, 4]
% 1.86/2.26 (w:1, o:199, a:1, s:1, b:0),
% 1.86/2.26 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1' [150, 4]
% 1.86/2.26 (w:1, o:200, a:1, s:1, b:0),
% 1.86/2.26 'c_Nitpick_Orefl_H' [151, 2] (w:1, o:146, a:1, s:1, b:0),
% 1.86/2.26 'c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1' [152, 2] (w:1, o:147
% 1.86/2.26 , a:1, s:1, b:0),
% 1.86/2.26 'c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1' [153, 2] (w:1, o:
% 1.86/2.26 148, a:1, s:1, b:0),
% 1.86/2.26 't_b' [154, 0] (w:1, o:62, a:1, s:1, b:0),
% 1.86/2.26 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1' [155, 3] (w:1, o:180
% 1.86/2.26 , a:1, s:1, b:0),
% 1.86/2.26 'c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1' [156, 2] (w:1
% 1.86/2.26 , o:149, a:1, s:1, b:0),
% 1.86/2.26 'c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1' [157, 2] (w:1, o:
% 1.86/2.26 150, a:1, s:1, b:0),
% 1.86/2.26 'c_ATP__Linkup_Osko__Relation__XIdE__1__1' [158, 2] (w:1, o:151, a:1
% 1.86/2.26 , s:1, b:0),
% 1.86/2.26 'c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1' [159, 7] (w:1
% 1.86/2.26 , o:217, a:1, s:1, b:0),
% 1.86/2.26 'c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1' [160
% 1.86/2.26 , 2] (w:1, o:152, a:1, s:1, b:0),
% 1.86/2.26 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1' [161,
% 1.86/2.26 4] (w:1, o:201, a:1, s:1, b:0),
% 1.86/2.26 'v_sko__Transitive__Closure__Xtrancl__Xcases__1' [164, 3] (w:1, o:181
% 10.37/10.75 , a:1, s:1, b:0),
% 10.37/10.75 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1' [165, 4]
% 10.37/10.75 (w:1, o:202, a:1, s:1, b:0),
% 10.37/10.75 'c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1' [167, 4]
% 10.37/10.75 (w:1, o:203, a:1, s:1, b:0),
% 10.37/10.75 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1' [168
% 10.37/10.75 , 4] (w:1, o:204, a:1, s:1, b:0),
% 10.37/10.75 'v_sko__Transitive__Closure__Xrtrancl__Xcases__1' [169, 3] (w:1, o:
% 10.37/10.75 182, a:1, s:1, b:0),
% 10.37/10.75 'c_ATP__Linkup_Osko__Product__Type__XSigmaE__1__1' [170, 5] (w:1, o:
% 10.37/10.75 213, a:1, s:1, b:0),
% 10.37/10.75 'c_FunDef_Oin__rel' [171, 3] (w:1, o:184, a:1, s:1, b:0),
% 10.37/10.75 'c_Wellfounded_OwfP' [172, 2] (w:1, o:153, a:1, s:1, b:0),
% 10.37/10.75 'c_Equiv__Relations_Oquotient' [173, 3] (w:1, o:183, a:1, s:1, b:0),
% 10.37/10.75
% 10.37/10.75 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1' [175, 3] (w:1
% 10.37/10.75 , o:185, a:1, s:1, b:0),
% 10.37/10.75 'v_sko__Wellfounded__Xacc__Xinducts__1' [176, 2] (w:1, o:154, a:1, s:
% 10.37/10.75 1, b:0),
% 10.37/10.75 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1' [177, 5] (w:1, o:
% 10.37/10.75 214, a:1, s:1, b:0),
% 10.37/10.75 'c_Relation_Oinv__image' [178, 4] (w:1, o:192, a:1, s:1, b:0),
% 10.37/10.75 'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1' [180, 3]
% 10.37/10.75 (w:1, o:186, a:1, s:1, b:0),
% 10.37/10.75 'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1' [181, 3] (w:1
% 10.37/10.75 , o:187, a:1, s:1, b:0),
% 10.37/10.75 'c_Equiv__Relations_Ocongruent' [183, 4] (w:1, o:205, a:1, s:1, b:0)
% 10.37/10.75 ,
% 10.37/10.75 'c_Equiv__Relations_Ocongruent2' [185, 6] (w:1, o:216, a:1, s:1, b:0)
% 10.37/10.75 ,
% 10.37/10.75 'v_a____' [186, 0] (w:1, o:64, a:1, s:1, b:0),
% 10.37/10.75 'v_b____' [187, 0] (w:1, o:66, a:1, s:1, b:0),
% 10.37/10.75 'c_ATP__Linkup_Osko__Relation__XRangeE__1__1' [188, 4] (w:1, o:206
% 10.37/10.75 , a:1, s:1, b:0),
% 10.37/10.75 'c_ATP__Linkup_Osko__Relation__XDomainE__1__1' [190, 4] (w:1, o:207
% 10.37/10.75 , a:1, s:1, b:0),
% 10.37/10.75 'c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1' [191, 4] (w:1, o:
% 10.37/10.75 208, a:1, s:1, b:0),
% 10.37/10.75 'c_ATP__Linkup_Osko__Relation__XRange__iff__1__1' [192, 4] (w:1, o:
% 10.37/10.75 209, a:1, s:1, b:0),
% 10.37/10.75 'v_a_H____' [193, 0] (w:1, o:65, a:1, s:1, b:0),
% 10.37/10.75 'v_b_H____' [194, 0] (w:1, o:67, a:1, s:1, b:0),
% 10.37/10.75 'tc_Arrow__Order__Mirabelle_Oalt' [199, 0] (w:1, o:70, a:1, s:1, b:0)
% 10.37/10.75 ,
% 10.37/10.75 'c_Arrow__Order__Mirabelle_Omktop' [201, 2] (w:1, o:155, a:1, s:1, b:
% 10.37/10.75 0),
% 10.37/10.75 'c_Arrow__Order__Mirabelle_Omkbot' [202, 2] (w:1, o:156, a:1, s:1, b:
% 10.37/10.75 0),
% 10.37/10.75 'v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1' [203, 2] (w:1, o:
% 10.37/10.75 157, a:1, s:1, b:0),
% 10.37/10.75 'v_P____' [204, 0] (w:1, o:72, a:1, s:1, b:0),
% 10.37/10.75 'v_P_H____' [206, 1] (w:1, o:102, a:1, s:1, b:0),
% 10.37/10.75 'v_Q____' [207, 0] (w:1, o:74, a:1, s:1, b:0),
% 10.37/10.75 'v_F' [208, 1] (w:1, o:103, a:1, s:1, b:0),
% 10.37/10.75 'c_Arrow__Order__Mirabelle_OProf' [211, 0] (w:1, o:75, a:1, s:1, b:0)
% 10.37/10.75 ,
% 10.37/10.75 'tc_Arrow__Order__Mirabelle_Oindi' [212, 0] (w:1, o:76, a:1, s:1, b:0
% 10.37/10.75 ),
% 10.37/10.75 'c_fequal' [215, 3] (w:1, o:188, a:1, s:1, b:0).
% 10.37/10.75
% 10.37/10.75
% 10.37/10.75 Starting Search:
% 10.37/10.75
% 10.37/10.75 Resimplifying inuse:
% 10.37/10.75 Done
% 10.37/10.75
% 10.37/10.75
% 10.37/10.75 Intermediate Status:
% 10.37/10.75 Generated: 4864
% 10.37/10.75 Kept: 2000
% 10.37/10.75 Inuse: 143
% 10.37/10.75 Deleted: 3
% 10.37/10.75 Deletedinuse: 1
% 10.37/10.75
% 10.37/10.75 Resimplifying inuse:
% 10.37/10.75 Done
% 10.37/10.75
% 10.37/10.75 Resimplifying inuse:
% 10.37/10.75 Done
% 10.37/10.75
% 10.37/10.75
% 10.37/10.75 Intermediate Status:
% 10.37/10.75 Generated: 13003
% 10.37/10.75 Kept: 4036
% 10.37/10.75 Inuse: 308
% 10.37/10.75 Deleted: 9
% 10.37/10.75 Deletedinuse: 1
% 10.37/10.75
% 10.37/10.75 Resimplifying inuse:
% 10.37/10.75 Done
% 10.37/10.75
% 10.37/10.75 Resimplifying inuse:
% 10.37/10.75 Done
% 10.37/10.75
% 10.37/10.75
% 10.37/10.75 Intermediate Status:
% 10.37/10.75 Generated: 20666
% 10.37/10.75 Kept: 6039
% 10.37/10.75 Inuse: 447
% 10.37/10.75 Deleted: 9
% 10.37/10.75 Deletedinuse: 1
% 10.37/10.75
% 10.37/10.75 Resimplifying inuse:
% 10.37/10.75 Done
% 10.37/10.75
% 10.37/10.75 Resimplifying inuse:
% 10.37/10.75 Done
% 10.37/10.75
% 10.37/10.75
% 10.37/10.75 Intermediate Status:
% 10.37/10.75 Generated: 28731
% 10.37/10.75 Kept: 8040
% 10.37/10.75 Inuse: 510
% 10.37/10.75 Deleted: 16
% 10.37/10.75 Deletedinuse: 4
% 10.37/10.75
% 10.37/10.75 Resimplifying inuse:
% 10.37/10.75 Done
% 10.37/10.75
% 10.37/10.75
% 10.37/10.75 Intermediate Status:
% 10.37/10.75 Generated: 42290
% 10.37/10.75 Kept: 10040
% 10.37/10.75 Inuse: 560
% 10.37/10.75 Deleted: 17
% 10.37/10.75 Deletedinuse: 5
% 10.37/10.75
% 10.37/10.75 Resimplifying inuse:
% 10.37/10.75 Done
% 10.37/10.75
% 10.37/10.75
% 10.37/10.75 Intermediate Status:
% 10.37/10.75 Generated: 61483
% 10.37/10.75 Kept: 12918
% 10.37/10.75 Inuse: 607
% 10.37/10.75 Deleted: 19
% 10.37/10.75 Deletedinuse: 5
% 10.37/10.75
% 10.37/10.75 Resimplifying inuse:
% 10.37/10.75 Done
% 10.37/10.75
% 10.37/10.75
% 10.37/10.75 Intermediate Status:
% 10.37/10.75 Generated: 77984
% 10.37/10.75 Kept: 15091
% 10.37/10.75 Inuse: 612
% 10.37/10.75 Deleted: 19
% 10.37/10.75 Deletedinuse: 5
% 10.37/10.75
% 10.37/10.75 Resimplifying inuse:
% 10.37/10.75 Done
% 10.37/10.75
% 10.37/10.75 Resimplifying inuse:
% 10.37/10.75 Done
% 10.37/10.75
% 10.37/10.75
% 10.37/10.75 Intermediate Status:
% 38.25/38.64 Generated: 87814
% 38.25/38.64 Kept: 17178
% 38.25/38.64 Inuse: 672
% 38.25/38.64 Deleted: 19
% 38.25/38.64 Deletedinuse: 5
% 38.25/38.64
% 38.25/38.64 Resimplifying inuse:
% 38.25/38.64 Done
% 38.25/38.64
% 38.25/38.64 Resimplifying inuse:
% 38.25/38.64 Done
% 38.25/38.64
% 38.25/38.64
% 38.25/38.64 Intermediate Status:
% 38.25/38.64 Generated: 100753
% 38.25/38.64 Kept: 19188
% 38.25/38.64 Inuse: 757
% 38.25/38.64 Deleted: 25
% 38.25/38.64 Deletedinuse: 6
% 38.25/38.64
% 38.25/38.64 Resimplifying inuse:
% 38.25/38.64 Done
% 38.25/38.64
% 38.25/38.64 Resimplifying clauses:
% 38.25/38.64 Done
% 38.25/38.64
% 38.25/38.64 Resimplifying inuse:
% 38.25/38.64 Done
% 38.25/38.64
% 38.25/38.64
% 38.25/38.64 Intermediate Status:
% 38.25/38.64 Generated: 117078
% 38.25/38.64 Kept: 21386
% 38.25/38.64 Inuse: 796
% 38.25/38.64 Deleted: 229
% 38.25/38.64 Deletedinuse: 6
% 38.25/38.64
% 38.25/38.64 Resimplifying inuse:
% 38.25/38.64 Done
% 38.25/38.64
% 38.25/38.64 Resimplifying inuse:
% 38.25/38.64 Done
% 38.25/38.64
% 38.25/38.64
% 38.25/38.64 Intermediate Status:
% 38.25/38.64 Generated: 146364
% 38.25/38.64 Kept: 23570
% 38.25/38.64 Inuse: 811
% 38.25/38.64 Deleted: 230
% 38.25/38.64 Deletedinuse: 7
% 38.25/38.64
% 38.25/38.64 Resimplifying inuse:
% 38.25/38.64 Done
% 38.25/38.64
% 38.25/38.64 Resimplifying inuse:
% 38.25/38.64 Done
% 38.25/38.64
% 38.25/38.64
% 38.25/38.64 Intermediate Status:
% 38.25/38.64 Generated: 159195
% 38.25/38.64 Kept: 25584
% 38.25/38.64 Inuse: 824
% 38.25/38.64 Deleted: 230
% 38.25/38.64 Deletedinuse: 7
% 38.25/38.64
% 38.25/38.64 Resimplifying inuse:
% 38.25/38.64 Done
% 38.25/38.64
% 38.25/38.64 Resimplifying inuse:
% 38.25/38.64 Done
% 38.25/38.64
% 38.25/38.64
% 38.25/38.64 Intermediate Status:
% 38.25/38.64 Generated: 169547
% 38.25/38.64 Kept: 27633
% 38.25/38.64 Inuse: 842
% 38.25/38.64 Deleted: 230
% 38.25/38.64 Deletedinuse: 7
% 38.25/38.64
% 38.25/38.64 Resimplifying inuse:
% 38.25/38.64 Done
% 38.25/38.64
% 38.25/38.64
% 38.25/38.64 Intermediate Status:
% 38.25/38.64 Generated: 184522
% 38.25/38.64 Kept: 29660
% 38.25/38.64 Inuse: 899
% 38.25/38.64 Deleted: 236
% 38.25/38.64 Deletedinuse: 10
% 38.25/38.64
% 38.25/38.64 Resimplifying inuse:
% 38.25/38.64 Done
% 38.25/38.64
% 38.25/38.64 Resimplifying inuse:
% 38.25/38.64 Done
% 38.25/38.64
% 38.25/38.64
% 38.25/38.64 Intermediate Status:
% 38.25/38.64 Generated: 203521
% 38.25/38.64 Kept: 31762
% 38.25/38.64 Inuse: 959
% 38.25/38.64 Deleted: 237
% 38.25/38.64 Deletedinuse: 11
% 38.25/38.64
% 38.25/38.64 Resimplifying inuse:
% 38.25/38.64 Done
% 38.25/38.64
% 38.25/38.64 Resimplifying inuse:
% 38.25/38.64 Done
% 38.25/38.64
% 38.25/38.64
% 38.25/38.64 Intermediate Status:
% 38.25/38.64 Generated: 219332
% 38.25/38.64 Kept: 33765
% 38.25/38.64 Inuse: 1007
% 38.25/38.64 Deleted: 240
% 38.25/38.64 Deletedinuse: 14
% 38.25/38.64
% 38.25/38.64 Resimplifying inuse:
% 38.25/38.64 Done
% 38.25/38.64
% 38.25/38.64
% 38.25/38.64 Intermediate Status:
% 38.25/38.64 Generated: 233528
% 38.25/38.64 Kept: 36193
% 38.25/38.64 Inuse: 1029
% 38.25/38.64 Deleted: 242
% 38.25/38.64 Deletedinuse: 16
% 38.25/38.64
% 38.25/38.64 Resimplifying inuse:
% 38.25/38.64 Done
% 38.25/38.64
% 38.25/38.64 Resimplifying inuse:
% 38.25/38.64 Done
% 38.25/38.64
% 38.25/38.64
% 38.25/38.64 Intermediate Status:
% 38.25/38.64 Generated: 254077
% 38.25/38.64 Kept: 38469
% 38.25/38.64 Inuse: 1064
% 38.25/38.64 Deleted: 248
% 38.25/38.64 Deletedinuse: 22
% 38.25/38.64
% 38.25/38.64 Resimplifying inuse:
% 38.25/38.64 Done
% 38.25/38.64
% 38.25/38.64 Resimplifying inuse:
% 38.25/38.64 Done
% 38.25/38.64
% 38.25/38.64 Resimplifying clauses:
% 38.25/38.64 Done
% 38.25/38.64
% 38.25/38.64
% 38.25/38.64 Intermediate Status:
% 38.25/38.64 Generated: 270348
% 38.25/38.64 Kept: 40582
% 38.25/38.64 Inuse: 1104
% 38.25/38.64 Deleted: 685
% 38.25/38.64 Deletedinuse: 24
% 38.25/38.64
% 38.25/38.64 Resimplifying inuse:
% 38.25/38.64 Done
% 38.25/38.64
% 38.25/38.64 Resimplifying inuse:
% 38.25/38.64 Done
% 38.25/38.64
% 38.25/38.64
% 38.25/38.64 Intermediate Status:
% 38.25/38.64 Generated: 284052
% 38.25/38.64 Kept: 42638
% 38.25/38.64 Inuse: 1159
% 38.25/38.64 Deleted: 685
% 38.25/38.64 Deletedinuse: 24
% 38.25/38.64
% 38.25/38.64 Resimplifying inuse:
% 38.25/38.64 Done
% 38.25/38.64
% 38.25/38.64 Resimplifying inuse:
% 38.25/38.64 Done
% 38.25/38.64
% 38.25/38.64
% 38.25/38.64 Intermediate Status:
% 38.25/38.64 Generated: 299494
% 38.25/38.64 Kept: 44695
% 38.25/38.64 Inuse: 1184
% 38.25/38.64 Deleted: 685
% 38.25/38.64 Deletedinuse: 24
% 38.25/38.64
% 38.25/38.64 Resimplifying inuse:
% 38.25/38.64 Done
% 38.25/38.64
% 38.25/38.64
% 38.25/38.64 Intermediate Status:
% 38.25/38.64 Generated: 313760
% 38.25/38.64 Kept: 46969
% 38.25/38.64 Inuse: 1194
% 38.25/38.64 Deleted: 685
% 38.25/38.64 Deletedinuse: 24
% 38.25/38.64
% 38.25/38.64 Resimplifying inuse:
% 38.25/38.64 Done
% 38.25/38.64
% 38.25/38.64 Resimplifying inuse:
% 38.25/38.64 Done
% 38.25/38.64
% 38.25/38.64
% 38.25/38.64 Intermediate Status:
% 38.25/38.64 Generated: 334187
% 38.25/38.64 Kept: 49069
% 38.25/38.64 Inuse: 1228
% 38.25/38.64 Deleted: 696
% 38.25/38.64 Deletedinuse: 24
% 38.25/38.64
% 38.25/38.64 Resimplifying inuse:
% 38.25/38.64 Done
% 38.25/38.64
% 38.25/38.64 Resimplifying inuse:
% 38.25/38.64 Done
% 38.25/38.64
% 38.25/38.64
% 38.25/38.64 Intermediate Status:
% 38.25/38.64 Generated: 342073
% 38.25/38.64 Kept: 51334
% 38.25/38.64 Inuse: 1243
% 38.25/38.64 Deleted: 723
% 38.25/38.64 Deletedinuse: 26
% 38.25/38.64
% 38.25/38.64 Resimplifying inuse:
% 38.25/38.64 Done
% 38.25/38.64
% 38.25/38.64
% 38.25/38.64 Intermediate Status:
% 38.25/38.64 Generated: 361335
% 38.25/38.64 Kept: 53448
% 38.25/38.64 Inuse: 1266
% 38.25/38.64 Deleted: 725
% 38.25/38.64 Deletedinuse: 26
% 38.25/38.64
% 38.25/38.64 Resimplifying inuse:
% 38.25/38.64 Done
% 38.25/38.64
% 38.25/38.64 Resimplifying inuse:
% 38.25/38.64 Done
% 38.25/38.64
% 38.25/38.64
% 38.25/38.64 Intermediate Status:
% 38.25/38.64 Generated: 378842
% 38.25/38.64 Kept: 55647
% 38.25/38.64 Inuse: 1310
% 38.25/38.64 Deleted: 726
% 38.25/38.64 Deletedinuse: 26
% 38.25/38.64
% 38.25/38.64 Resimplifying inuse:
% 38.25/38.64 Done
% 38.25/38.64
% 38.25/38.64 Resimplifying inuse:
% 38.25/38.64 Done
% 38.25/38.64
% 38.25/38.64
% 38.25/38.64 Intermediate Status:
% 38.25/38.64 Generated: 392545
% 38.25/38.64 Kept: 57720
% 38.25/38.64 Inuse: 1330
% 38.25/38.64 Deleted: 726
% 38.25/38.64 Deletedinuse: 26
% 38.25/38.64
% 38.25/38.64 Resimplifying inuse:
% 38.25/38.64 Done
% 38.25/38.64
% 38.25/38.64
% 38.25/38.64 Intermediate Status:
% 38.25/38.64 Generated: 410644
% 38.25/38.64 Kept: 59832
% 38.25/38.64 Inuse: 1355
% 38.25/38.64 Deleted: 726
% 38.25/38.64 Deletedinuse: 26
% 38.25/38.64
% 38.25/38.64 Resimplifying inuse:
% 38.25/38.64 Done
% 38.25/38.64
% 38.25/38.64 Resimplifying clauses:
% 38.25/38.64 Done
% 38.25/38.64
% 38.25/38.64 Resimplifying inuse:
% 38.25/38.64 Done
% 38.25/38.64
% 38.25/38.64
% 38.25/38.64 Intermediate Status:
% 38.25/38.64 Generated: 424762
% 38.25/38.64 Kept: 61960
% 38.25/38.64 Inuse: 1400
% 38.25/38.64 Deleted: 1250
% 38.25/38.64 Deletedinuse: 29
% 38.25/38.64
% 38.25/38.64 Resimplifying inuse:
% 38.25/38.64 Done
% 38.25/38.64
% 38.25/38.64 Resimplifying inuse:
% 38.25/38.64 Done
% 38.25/38.64
% 38.25/38.64
% 38.25/38.64 Intermediate Status:
% 38.25/38.64 Generated: 446765
% 38.25/38.64 Kept: 66054
% 38.25/38.64 Inuse: 1440
% 38.25/38.64 Deleted: 1251
% 38.25/38.64 Deletedinuse: 30
% 38.25/38.64
% 38.25/38.64 Resimplifying inuse:
% 38.25/38.64 Done
% 38.25/38.64
% 38.25/38.64 Resimplifying inuse:
% 38.25/38.64 Done
% 38.25/38.64
% 38.25/38.64
% 38.25/38.64 Intermediate Status:
% 38.25/38.64 Generated: 459504
% 38.25/38.64 Kept: 68332
% 38.25/38.64 Inuse: 1470
% 38.25/38.64 Deleted: 1252
% 38.25/38.64 Deletedinuse: 31
% 38.25/38.64
% 38.25/38.64 Resimplifying inuse:
% 38.25/38.64 Done
% 38.25/38.64
% 38.25/38.64 Resimplifying inuse:
% 38.25/38.64 Done
% 38.25/38.64
% 38.25/38.64
% 38.25/38.64 Intermediate Status:
% 38.25/38.64 Generated: 471098
% 38.25/38.64 Kept: 70338
% 142.67/143.16 Inuse: 1496
% 142.67/143.16 Deleted: 1254
% 142.67/143.16 Deletedinuse: 33
% 142.67/143.16
% 142.67/143.16 Resimplifying inuse:
% 142.67/143.16 Done
% 142.67/143.16
% 142.67/143.16 Resimplifying inuse:
% 142.67/143.16 Done
% 142.67/143.16
% 142.67/143.16
% 142.67/143.16 Intermediate Status:
% 142.67/143.16 Generated: 481364
% 142.67/143.16 Kept: 72458
% 142.67/143.16 Inuse: 1535
% 142.67/143.16 Deleted: 1254
% 142.67/143.16 Deletedinuse: 33
% 142.67/143.16
% 142.67/143.16 Resimplifying inuse:
% 142.67/143.16 Done
% 142.67/143.16
% 142.67/143.16 Resimplifying inuse:
% 142.67/143.16 Done
% 142.67/143.16
% 142.67/143.16
% 142.67/143.16 Intermediate Status:
% 142.67/143.16 Generated: 491313
% 142.67/143.16 Kept: 74501
% 142.67/143.16 Inuse: 1572
% 142.67/143.16 Deleted: 1257
% 142.67/143.16 Deletedinuse: 33
% 142.67/143.16
% 142.67/143.16 Resimplifying inuse:
% 142.67/143.16 Done
% 142.67/143.16
% 142.67/143.16
% 142.67/143.16 Intermediate Status:
% 142.67/143.16 Generated: 503562
% 142.67/143.16 Kept: 76621
% 142.67/143.16 Inuse: 1597
% 142.67/143.16 Deleted: 1260
% 142.67/143.16 Deletedinuse: 36
% 142.67/143.16
% 142.67/143.16 Resimplifying inuse:
% 142.67/143.16 Done
% 142.67/143.16
% 142.67/143.16
% 142.67/143.16 Intermediate Status:
% 142.67/143.16 Generated: 512430
% 142.67/143.16 Kept: 78658
% 142.67/143.16 Inuse: 1617
% 142.67/143.16 Deleted: 1261
% 142.67/143.16 Deletedinuse: 37
% 142.67/143.16
% 142.67/143.16 Resimplifying inuse:
% 142.67/143.16 Done
% 142.67/143.16
% 142.67/143.16 Resimplifying inuse:
% 142.67/143.16 Done
% 142.67/143.16
% 142.67/143.16 Resimplifying clauses:
% 142.67/143.16 Done
% 142.67/143.16
% 142.67/143.16
% 142.67/143.16 Intermediate Status:
% 142.67/143.16 Generated: 527716
% 142.67/143.16 Kept: 80931
% 142.67/143.16 Inuse: 1646
% 142.67/143.16 Deleted: 1744
% 142.67/143.16 Deletedinuse: 40
% 142.67/143.16
% 142.67/143.16 Resimplifying inuse:
% 142.67/143.16 Done
% 142.67/143.16
% 142.67/143.16 Resimplifying inuse:
% 142.67/143.16 Done
% 142.67/143.16
% 142.67/143.16
% 142.67/143.16 Intermediate Status:
% 142.67/143.16 Generated: 549537
% 142.67/143.16 Kept: 85820
% 142.67/143.16 Inuse: 1671
% 142.67/143.16 Deleted: 1747
% 142.67/143.16 Deletedinuse: 43
% 142.67/143.16
% 142.67/143.16 Resimplifying inuse:
% 142.67/143.16 Done
% 142.67/143.16
% 142.67/143.16
% 142.67/143.16 Intermediate Status:
% 142.67/143.16 Generated: 564778
% 142.67/143.16 Kept: 89020
% 142.67/143.16 Inuse: 1676
% 142.67/143.16 Deleted: 1747
% 142.67/143.16 Deletedinuse: 43
% 142.67/143.16
% 142.67/143.16 Resimplifying inuse:
% 142.67/143.16 Done
% 142.67/143.16
% 142.67/143.16
% 142.67/143.16 Intermediate Status:
% 142.67/143.16 Generated: 580646
% 142.67/143.16 Kept: 92282
% 142.67/143.16 Inuse: 1681
% 142.67/143.16 Deleted: 1747
% 142.67/143.16 Deletedinuse: 43
% 142.67/143.16
% 142.67/143.16 Resimplifying inuse:
% 142.67/143.16 Done
% 142.67/143.16
% 142.67/143.16 Resimplifying inuse:
% 142.67/143.16 Done
% 142.67/143.16
% 142.67/143.16
% 142.67/143.16 Intermediate Status:
% 142.67/143.16 Generated: 592862
% 142.67/143.16 Kept: 94288
% 142.67/143.16 Inuse: 1701
% 142.67/143.16 Deleted: 1749
% 142.67/143.16 Deletedinuse: 43
% 142.67/143.16
% 142.67/143.16 Resimplifying inuse:
% 142.67/143.16 Done
% 142.67/143.16
% 142.67/143.16
% 142.67/143.16 Intermediate Status:
% 142.67/143.16 Generated: 609575
% 142.67/143.16 Kept: 97642
% 142.67/143.16 Inuse: 1704
% 142.67/143.16 Deleted: 1749
% 142.67/143.16 Deletedinuse: 43
% 142.67/143.16
% 142.67/143.16 Resimplifying inuse:
% 142.67/143.16 Done
% 142.67/143.16
% 142.67/143.16
% 142.67/143.16 Intermediate Status:
% 142.67/143.16 Generated: 629633
% 142.67/143.16 Kept: 101579
% 142.67/143.16 Inuse: 1714
% 142.67/143.16 Deleted: 1749
% 142.67/143.16 Deletedinuse: 43
% 142.67/143.16
% 142.67/143.16 Resimplifying inuse:
% 142.67/143.16 Done
% 142.67/143.16
% 142.67/143.16 Resimplifying clauses:
% 142.67/143.16 Done
% 142.67/143.16
% 142.67/143.16
% 142.67/143.16 Intermediate Status:
% 142.67/143.16 Generated: 648737
% 142.67/143.16 Kept: 105551
% 142.67/143.16 Inuse: 1724
% 142.67/143.16 Deleted: 1852
% 142.67/143.16 Deletedinuse: 43
% 142.67/143.16
% 142.67/143.16 Resimplifying inuse:
% 142.67/143.16 Done
% 142.67/143.16
% 142.67/143.16
% 142.67/143.16 Intermediate Status:
% 142.67/143.17 Generated: 671596
% 142.67/143.17 Kept: 107824
% 142.67/143.17 Inuse: 1734
% 142.67/143.17 Deleted: 1852
% 142.67/143.17 Deletedinuse: 43
% 142.67/143.17
% 142.67/143.17 Resimplifying inuse:
% 142.67/143.17 Done
% 142.67/143.17
% 142.67/143.17 Resimplifying inuse:
% 142.67/143.17 Done
% 142.67/143.17
% 142.67/143.17
% 142.67/143.17 Intermediate Status:
% 142.67/143.17 Generated: 698252
% 142.67/143.17 Kept: 113177
% 142.67/143.17 Inuse: 1758
% 142.67/143.17 Deleted: 1855
% 142.67/143.17 Deletedinuse: 45
% 142.67/143.17
% 142.67/143.17 Resimplifying inuse:
% 142.67/143.17 Done
% 142.67/143.17
% 142.67/143.17 Resimplifying inuse:
% 142.67/143.17 Done
% 142.67/143.17
% 142.67/143.17
% 142.67/143.17 Intermediate Status:
% 142.67/143.17 Generated: 781013
% 142.67/143.17 Kept: 115652
% 142.67/143.17 Inuse: 1768
% 142.67/143.17 Deleted: 1855
% 142.67/143.17 Deletedinuse: 45
% 142.67/143.17
% 142.67/143.17 Resimplifying inuse:
% 142.67/143.17 Done
% 142.67/143.17
% 142.67/143.17 Resimplifying inuse:
% 142.67/143.17 Done
% 142.67/143.17
% 142.67/143.17
% 142.67/143.17 Intermediate Status:
% 142.67/143.17 Generated: 794771
% 142.67/143.17 Kept: 117823
% 142.67/143.17 Inuse: 1798
% 142.67/143.17 Deleted: 1855
% 142.67/143.17 Deletedinuse: 45
% 142.67/143.17
% 142.67/143.17 Resimplifying inuse:
% 142.67/143.17 Done
% 142.67/143.17
% 142.67/143.17 Resimplifying inuse:
% 142.67/143.17 Done
% 142.67/143.17
% 142.67/143.17
% 142.67/143.17 Intermediate Status:
% 142.67/143.17 Generated: 810215
% 142.67/143.17 Kept: 119868
% 142.67/143.17 Inuse: 1848
% 142.67/143.17 Deleted: 1855
% 142.67/143.17 Deletedinuse: 45
% 142.67/143.17
% 142.67/143.17 Resimplifying inuse:
% 142.67/143.17 Done
% 142.67/143.17
% 142.67/143.17
% 142.67/143.17 Intermediate Status:
% 142.67/143.17 Generated: 823603
% 142.67/143.17 Kept: 122411
% 142.67/143.17 Inuse: 1863
% 142.67/143.17 Deleted: 1855
% 142.67/143.17 Deletedinuse: 45
% 142.67/143.17
% 142.67/143.17 Resimplifying inuse:
% 142.67/143.17 Done
% 142.67/143.17
% 142.67/143.17 Resimplifying clauses:
% 142.67/143.17 Done
% 142.67/143.17
% 142.67/143.17 Resimplifying inuse:
% 142.67/143.17 Done
% 142.67/143.17
% 142.67/143.17
% 142.67/143.17 Intermediate Status:
% 142.67/143.17 Generated: 840478
% 142.67/143.17 Kept: 124416
% 142.67/143.17 Inuse: 1900
% 142.67/143.17 Deleted: 2443
% 142.67/143.17 Deletedinuse: 45
% 142.67/143.17
% 142.67/143.17 Resimplifying inuse:
% 142.67/143.17 Done
% 142.67/143.17
% 142.67/143.17 Resimplifying inuse:
% 142.67/143.17 Done
% 142.67/143.17
% 142.67/143.17
% 142.67/143.17 Intermediate Status:
% 142.67/143.17 Generated: 861287
% 142.67/143.17 Kept: 126676
% 142.67/143.17 Inuse: 1954
% 142.67/143.17 Deleted: 2448
% 142.67/143.17 Deletedinuse: 46
% 142.67/143.17
% 142.67/143.17 Resimplifying inuse:
% 142.67/143.17 Done
% 142.67/143.17
% 142.67/143.17 Resimplifying inuse:
% 142.67/143.17 Done
% 142.67/143.17
% 142.67/143.17
% 142.67/143.17 Intermediate Status:
% 142.67/143.17 Generated: 872633
% 142.67/143.17 Kept: 128856
% 142.67/143.17 Inuse: 1974
% 142.67/143.17 Deleted: 2448
% 142.67/143.17 Deletedinuse: 46
% 142.67/143.17
% 142.67/143.17 Resimplifying inuse:
% 142.67/143.17 Done
% 142.67/143.17
% 142.67/143.17 Resimplifying inuse:
% 142.67/143.17 Done
% 142.67/143.17
% 142.67/143.17
% 142.67/143.17 Intermediate Status:
% 142.67/143.17 Generated: 886648
% 142.67/143.17 Kept: 131341
% 142.67/143.17 Inuse: 1994
% 142.67/143.17 Deleted: 2448
% 142.67/143.17 Deletedinuse: 46
% 142.67/143.17
% 142.67/143.17 Resimplifying inuse:
% 142.67/143.17 Done
% 142.67/143.17
% 142.67/143.17 Resimplifying inuse:
% 142.67/143.17 Done
% 142.67/143.17
% 142.67/143.17
% 142.67/143.17 Intermediate Status:
% 142.67/143.17 Generated: 928822
% 142.67/143.17 Kept: 136791
% 142.67/143.17 Inuse: 2009
% 142.67/143.17 Deleted: 2448
% 142.67/143.17 Deletedinuse: 46
% 142.67/143.17
% 142.67/143.17 Resimplifying inuse:
% 142.67/143.17 Done
% 142.67/143.17
% 142.67/143.17 Resimplifying inuse:
% 142.67/143.17 Done
% 142.67/143.17
% 142.67/143.17
% 142.67/143.17 Intermediate Status:
% 142.67/143.17 Generated: 962113
% 142.67/143.17 Kept: 140567
% 142.67/143.17 Inuse: 2024
% 142.67/143.17 Deleted: 2448
% 142.67/143.17 Deletedinuse: 46
% 142.67/143.17
% 142.67/143.17 Resimplifying Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------