TSTP Solution File: SCT001-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SCT001-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Mon Jul 18 21:00:26 EDT 2022
% Result : Timeout 300.03s 300.42s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SCT001-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : bliksem %s
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Fri Jul 1 23:51:38 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.90/1.30 *** allocated 10000 integers for termspace/termends
% 0.90/1.30 *** allocated 10000 integers for clauses
% 0.90/1.30 *** allocated 10000 integers for justifications
% 0.90/1.30 *** allocated 15000 integers for termspace/termends
% 0.90/1.30 *** allocated 22500 integers for termspace/termends
% 0.90/1.30 Bliksem 1.12
% 0.90/1.30
% 0.90/1.30
% 0.90/1.30 Automatic Strategy Selection
% 0.90/1.30
% 0.90/1.30 Clauses:
% 0.90/1.30 [
% 0.90/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.90/1.30 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'(
% 0.90/1.30 Z, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_Product__Type_OSigma'( X, 'c_COMBK'( Y, 'tc_fun'( Z
% 0.90/1.30 , 'tc_bool' ), T ), T, Z ), 'c_Product__Type_OSigma'( U, 'c_COMBK'( Y,
% 0.90/1.30 'tc_fun'( Z, 'tc_bool' ), T ), T, Z ), 'tc_fun'( 'tc_prod'( T, Z ),
% 0.90/1.30 'tc_bool' ) ), ~( 'c_lessequals'( X, U, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 0.90/1.30 hBOOL( 'c_in'( W, Y, Z ) ) ) ],
% 0.90/1.30 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.90/1.30 'c_Product__Type_OSigma'( X, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.90/1.30 , Z, U ), 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U,
% 0.90/1.30 'tc_bool' ), Z ), Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ),
% 0.90/1.30 ~( hBOOL( 'c_in'( W, T, U ) ) ) ],
% 0.90/1.30 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.90/1.30 ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.90/1.30 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.90/1.30 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.90/1.30 ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.90/1.30 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.90/1.30 Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, X,
% 0.90/1.30 Z ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y, T, Z ), 'tc_fun'( Z,
% 0.90/1.30 'tc_bool' ) ) ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_Transitive__Closure_Otrancl'( X, Y ), Z, 'tc_fun'(
% 0.90/1.30 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.90/1.30 'c_Relation_Orel__comp'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.90/1.30 'c_Transitive__Closure_Otrancl'( X, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.90/1.30 'tc_bool' ) ), X, Y, Y, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' )
% 0.90/1.30 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) )
% 0.90/1.30 ) ],
% 0.90/1.30 [ =( 'c_Product__Type_OSigma'(
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.90/1.30 'tc_bool' ) ), T, Z, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.90/1.30 'c_Product__Type_OSigma'( X, T, Z, U ), 'c_Product__Type_OSigma'( Y, T, Z
% 0.90/1.30 , U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.90/1.30 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z
% 0.90/1.30 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.90/1.30 ) ) ), =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.90/1.30 , X ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 't_a', X )
% 0.90/1.30 ), 'v_x' ), 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( Y, 'v_x'
% 0.90/1.30 ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Relation_ODomain'( X
% 0.90/1.30 , Y, Z ), 'c_Relation_ODomain'( T, Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ),
% 0.90/1.30 'c_Relation_ODomain'( 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'(
% 0.90/1.30 'tc_prod'( Y, Z ), 'tc_bool' ) ), Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.90/1.30 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 0.90/1.30 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.90/1.30 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.90/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.90/1.30 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 0.90/1.30 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 0.90/1.30 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_Relation_OId__on'( X, Y ), 'c_Product__Type_OSigma'(
% 0.90/1.30 X, 'c_COMBK'( X, 'tc_fun'( Y, 'tc_bool' ), Y ), Y, Y ), 'tc_fun'(
% 0.90/1.30 'tc_prod'( Y, Y ), 'tc_bool' ) ) ],
% 0.90/1.30 [ 'c_lessequals'( X, 'c_Product__Type_OSigma'( Y, 'c_COMBK'( Y, 'tc_fun'(
% 0.90/1.30 Z, 'tc_bool' ), Z ), Z, Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ),
% 0.90/1.30 ~( 'c_Relation_Orefl__on'( Y, X, Z ) ) ],
% 0.90/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X, 'tc_fun'( Y,
% 0.90/1.30 'tc_bool' ) ), X ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 0.90/1.30 'c_Relation_Orel__comp'( W, V0, Z, T, U ), 'tc_fun'( 'tc_prod'( Z, U ),
% 0.90/1.30 'tc_bool' ) ), ~( 'c_lessequals'( Y, V0, 'tc_fun'( 'tc_prod'( T, U ),
% 0.90/1.30 'tc_bool' ) ) ), ~( 'c_lessequals'( X, W, 'tc_fun'( 'tc_prod'( Z, T ),
% 0.90/1.30 'tc_bool' ) ) ) ],
% 0.90/1.30 [ =( 'c_Relation_OImage'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.90/1.30 X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), U, Z, T ),
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_OImage'( X, U,
% 0.90/1.30 Z, T ), 'c_Relation_OImage'( Y, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ =( 'c_Relation_OImage'( X,
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.90/1.30 'tc_bool' ) ), T, U ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.90/1.30 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 0.90/1.30 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.90/1.30 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ),
% 0.90/1.30 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 0.90/1.30 [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 0.90/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.90/1.30 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.90/1.30 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.90/1.30 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.90/1.30 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_Relation_OImage'( X, Y, Z, T ), U, 'tc_fun'( T,
% 0.90/1.30 'tc_bool' ) ), ~( 'c_lessequals'( X, 'c_Product__Type_OSigma'( W,
% 0.90/1.30 'c_COMBK'( U, 'tc_fun'( T, 'tc_bool' ), Z ), Z, T ), 'tc_fun'( 'tc_prod'(
% 0.90/1.30 Z, T ), 'tc_bool' ) ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.90/1.30 , T, X ) ) ), =( Y, Z ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.90/1.30 , T, X ) ) ), =( Z, T ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X, Y, Z
% 0.90/1.30 , T ), 'c_Set_Oimage'( X, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.90/1.30 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, U, 'tc_fun'( Z,
% 0.90/1.30 'tc_bool' ) ), Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ],
% 0.90/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.90/1.30 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.90/1.30 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.90/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.90/1.30 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.90/1.30 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.90/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.90/1.30 'tc_bool' ) ), X ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.90/1.30 ],
% 0.90/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.90/1.30 'tc_bool' ) ), Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.90/1.30 ],
% 0.90/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~(
% 0.90/1.30 'c_lessequals'( Y, Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ),
% 0.90/1.30 'c_lessequals'( Y, Z, X ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 0.90/1.30 'c_lessequals'( Z, Y, X ) ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.90/1.30 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.90/1.30 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.90/1.30 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.90/1.30 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X
% 0.90/1.30 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.90/1.30 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 0.90/1.30 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.90/1.30 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.90/1.30 'c_Set_Oinsert'( T, X, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.90/1.30 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.90/1.30 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Relation_ORange'( X,
% 0.90/1.30 Y, Z ), 'c_Relation_ORange'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.90/1.30 'c_Relation_ORange'( 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'(
% 0.90/1.30 'tc_prod'( Y, Z ), 'tc_bool' ) ), Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.90/1.30 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.90/1.30 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.90/1.30 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 0.90/1.30 Y, Y ), 'tc_bool' ) ), Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.90/1.30 'c_Complete__Lattice_OInf__class_OInf'( 'c_Set_Oinsert'( Y, Z, X ), X ),
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.90/1.30 'c_Complete__Lattice_OInf__class_OInf'( Z, X ), X ) ) ],
% 0.90/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X, Y
% 0.90/1.30 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.90/1.30 'tc_bool' ) ), Z ) ) ],
% 0.90/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oinsert'( Y
% 0.90/1.30 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.90/1.30 'tc_bool' ) ), T ) ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.90/1.30 ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X
% 0.90/1.30 , X ), 'tc_bool' ) ), Y, 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.90/1.30 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.90/1.30 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y, Z, X ), X ),
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.90/1.30 'c_Complete__Lattice_OSup__class_OSup'( Z, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Olattice'( 't_b' ) ), =( hAPP(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'v_f', 'v_g', 'tc_fun'(
% 0.90/1.30 't_a', 't_b' ) ), 'v_x' ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.90/1.30 hAPP( 'v_f', 'v_x' ), hAPP( 'v_g', 'v_x' ), 't_b' ) ) ],
% 0.90/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.90/1.30 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ),
% 0.90/1.30 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.90/1.30 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.90/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.90/1.30 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.90/1.30 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.90/1.30 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.90/1.30 'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 0.90/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.90/1.30 , Z ), 'c_Set_Oinsert'( X, T, Z ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.90/1.30 'c_Set_Oinsert'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.90/1.30 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.90/1.30 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 0.90/1.30 'c_Set_Oinsert'( X, Y, Z ) ) ],
% 0.90/1.30 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z,
% 0.90/1.30 X, T ), Y ) ) ) ],
% 0.90/1.30 [ =( 'c_Relation_ODomain'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, T ), U,
% 0.90/1.30 'tc_prod'( Z, T ) ), Z, T ), 'c_Set_Oinsert'( X, 'c_Relation_ODomain'( U
% 0.90/1.30 , Z, T ), Z ) ) ],
% 0.90/1.30 [ 'c_Relation_Osym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 0.90/1.30 , 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Osym'(
% 0.90/1.30 Y, Z ) ), ~( 'c_Relation_Osym'( X, Z ) ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.90/1.30 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.90/1.30 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.90/1.30 'tc_bool' ) ) ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_Relation_ODomain'(
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.90/1.30 Z, T ), 'tc_bool' ) ), Z, T ),
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_ODomain'( X, Z
% 0.90/1.30 , T ), 'c_Relation_ODomain'( Y, Z, T ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.90/1.30 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( X ), X ), 'c_Orderings_Obot__class_Obot'(
% 0.90/1.30 X ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( X ), Y, X ),
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.90/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.90/1.30 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.90/1.30 ) ) ) ],
% 0.90/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.90/1.30 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.90/1.30 ) ],
% 0.90/1.30 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, X, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.90/1.30 ) ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_Set_Oimage'( X,
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.90/1.30 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.90/1.30 'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U,
% 0.90/1.30 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_Relation_OImage'( X,
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.90/1.30 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.90/1.30 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 0.90/1.30 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.90/1.30 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.90/1.30 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.90/1.30 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_lessequals'( T, X,
% 0.90/1.30 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.90/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.90/1.30 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.90/1.30 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( T, X,
% 0.90/1.30 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.90/1.30 [ =( 'c_Product__Type_OSigma'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.90/1.30 'tc_fun'( Z, 'tc_bool' ) ), T, Z, U ), 'c_HOL_Ominus__class_Ominus'(
% 0.90/1.30 'c_Product__Type_OSigma'( X, T, Z, U ), 'c_Product__Type_OSigma'( Y, T, Z
% 0.90/1.30 , U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.90/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Obot__class_Obot'(
% 0.90/1.30 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.90/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 0.90/1.30 'c_Product__Type_OSigma'( W, 'c_COMBK'( V0, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.90/1.30 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.90/1.30 Y, 'c_Product__Type_OSigma'( V1, 'c_COMBK'( V0, 'tc_fun'( U, 'tc_bool' )
% 0.90/1.30 , T ), T, U ), 'tc_fun'( 'tc_prod'( T, U ), 'tc_bool' ) ) ), ~(
% 0.90/1.30 'c_lessequals'( X, 'c_Product__Type_OSigma'( W, 'c_COMBK'( V1, 'tc_fun'(
% 0.90/1.30 T, 'tc_bool' ), Z ), Z, T ), 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ) )
% 0.90/1.30 ],
% 0.90/1.30 [ 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.90/1.30 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_lessequals'(
% 0.90/1.30 'c_Relation_Orel__comp'( X, Y, Z, Z, Z ), X, 'tc_fun'( 'tc_prod'( Z, Z )
% 0.90/1.30 , 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Y, Z ) ), ~(
% 0.90/1.30 'c_Wellfounded_Owf'( X, Z ) ) ],
% 0.90/1.30 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T,
% 0.90/1.30 'tc_bool' ) ), Y ) ) ) ],
% 0.90/1.30 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.90/1.30 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ],
% 0.90/1.30 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.90/1.30 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 0.90/1.30 [ =( 'c_Product__Type_OSigma'(
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.90/1.30 'tc_bool' ) ), 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Product__Type_OSigma'( X
% 0.90/1.30 , 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.90/1.30 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.90/1.30 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.90/1.30 [ 'c_Relation_Orefl__on'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.90/1.30 X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( T, U, 'tc_fun'( 'tc_prod'(
% 0.90/1.30 Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ), ~(
% 0.90/1.30 'c_Relation_Orefl__on'( X, T, Z ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Olattice'( 't_b' ) ), =( hAPP(
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( 'v_f', 'v_g', 'tc_fun'(
% 0.90/1.30 't_a', 't_b' ) ), 'v_x' ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.90/1.30 hAPP( 'v_f', 'v_x' ), hAPP( 'v_g', 'v_x' ), 't_b' ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.90/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.90/1.30 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.90/1.30 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.90/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.90/1.30 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.90/1.30 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ],
% 0.90/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.90/1.30 X, 'tc_bool' ) ), Y ) ],
% 0.90/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.90/1.30 'tc_bool' ) ), X ) ],
% 0.90/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Obot__class_Obot'(
% 0.90/1.30 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ),
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.90/1.30 [ =( 'c_Product__Type_OSigma'( 'c_Set_Oinsert'( X, Y, Z ), 'c_COMBK'(
% 0.90/1.30 'c_Set_Oinsert'( T, U, W ), 'tc_fun'( W, 'tc_bool' ), Z ), Z, W ),
% 0.90/1.30 'c_Set_Oinsert'( 'c_Pair'( X, T, Z, W ),
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Product__Type_OSigma'( Y
% 0.90/1.30 , 'c_COMBK'( 'c_Set_Oinsert'( T, U, W ), 'tc_fun'( W, 'tc_bool' ), Z ), Z
% 0.90/1.30 , W ), 'c_Product__Type_OSigma'( 'c_Set_Oinsert'( X, Y, Z ), 'c_COMBK'( U
% 0.90/1.30 , 'tc_fun'( W, 'tc_bool' ), Z ), Z, W ), 'tc_fun'( 'tc_prod'( Z, W ),
% 0.90/1.30 'tc_bool' ) ), 'tc_prod'( Z, W ) ) ) ],
% 0.90/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.90/1.30 T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 0.90/1.30 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 0.90/1.30 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.90/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), T,
% 0.90/1.30 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 0.90/1.30 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.90/1.30 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.90/1.30 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.90/1.30 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), =( T
% 0.90/1.30 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.90/1.30 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Z, 'tc_bool'
% 0.90/1.30 ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( U, Y, 'tc_fun'( Z,
% 0.90/1.30 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'c_Relation_Otrans'( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.90/1.30 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 0.90/1.30 'c_Relation_Otrans'( Y, Z ) ), ~( 'c_Relation_Otrans'( X, Z ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), X ) ],
% 0.90/1.30 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.90/1.30 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y,
% 0.90/1.30 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'(
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.90/1.30 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ],
% 0.90/1.30 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.90/1.30 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.90/1.30 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.90/1.30 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.90/1.30 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.90/1.30 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.90/1.30 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ],
% 0.90/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.90/1.30 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), X ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~(
% 0.90/1.30 'c_lessequals'( Z, Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ),
% 0.90/1.30 'c_lessequals'( Y, Z, X ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~(
% 0.90/1.30 'c_lessequals'( Y, Z, X ) ) ],
% 0.90/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.90/1.30 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.90/1.30 ],
% 0.90/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.90/1.30 'tc_bool' ) ), X ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.90/1.30 ],
% 0.90/1.30 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.90/1.30 , 'tc_bool' ) ), Y ) ), 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.90/1.30 ],
% 0.90/1.30 [ 'c_Relation_Orefl__on'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.90/1.30 X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( T, U, 'tc_fun'( 'tc_prod'(
% 0.90/1.30 Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ), ~(
% 0.90/1.30 'c_Relation_Orefl__on'( X, T, Z ) ) ],
% 0.90/1.30 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.90/1.30 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.90/1.30 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ],
% 0.90/1.30 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.90/1.30 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.90/1.30 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 0.90/1.30 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.90/1.30 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.90/1.30 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ],
% 0.90/1.30 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.90/1.30 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.90/1.30 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_Transitive__Closure_Otrancl'( X, Y ),
% 0.90/1.30 'c_Product__Type_OSigma'( Z, 'c_COMBK'( Z, 'tc_fun'( Y, 'tc_bool' ), Y )
% 0.90/1.30 , Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.90/1.30 X, 'c_Product__Type_OSigma'( Z, 'c_COMBK'( Z, 'tc_fun'( Y, 'tc_bool' ), Y
% 0.90/1.30 ), Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.90/1.30 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.90/1.30 'tc_bool' ) ), ~( 'c_lessequals'( X, 'c_Transitive__Closure_Ortrancl'( Z
% 0.90/1.30 , Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.90/1.30 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.90/1.30 ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.90/1.30 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.90/1.30 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.90/1.30 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.90/1.30 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.90/1.30 'c_Set_Oinsert'( Y, Z, X ) ) ) ],
% 0.90/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.90/1.30 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.90/1.30 'tc_bool' ) ), Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 0.90/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.90/1.30 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.90/1.30 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ) ],
% 0.90/1.30 [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ),
% 0.90/1.30 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.90/1.30 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.90/1.30 T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.90/1.30 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.90/1.30 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.90/1.30 [ =( 'c_Relation_Oconverse'(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.90/1.30 Z, T ), 'tc_bool' ) ), Z, T ),
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Oconverse'( X,
% 0.90/1.30 Z, T ), 'c_Relation_Oconverse'( Y, Z, T ), 'tc_fun'( 'tc_prod'( T, Z ),
% 0.90/1.30 'tc_bool' ) ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.90/1.30 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.90/1.30 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.90/1.30 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.90/1.30 'tc_fun'( Z, 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.90/1.30 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.90/1.30 [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 0.90/1.30 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.90/1.30 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.90/1.30 , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.90/1.30 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.90/1.30 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.90/1.30 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.90/1.30 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.90/1.30 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.90/1.30 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.90/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.90/1.30 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X,
% 0.90/1.30 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.90/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.90/1.30 Z, 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' )
% 0.90/1.30 ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ),
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), X ) ],
% 0.90/1.30 [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.90/1.30 'c_Transitive__Closure_Ortrancl'( Z, Y ) ), ~( 'c_lessequals'( X,
% 0.90/1.30 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.90/1.30 'tc_bool' ) ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.90/1.30 'tc_bool' ) ) ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.90/1.30 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.90/1.30 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.90/1.30 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.90/1.30 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X,
% 0.90/1.30 Y, Z ) ) ],
% 0.90/1.30 [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.90/1.30 , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 0.90/1.30 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X, Z ) ],
% 0.90/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.90/1.30 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.90/1.30 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( T, X, 'tc_fun'( Z,
% 0.90/1.30 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.90/1.30 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.90/1.30 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 0.90/1.30 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( 'c_Set_Oinsert'( X, T,
% 0.90/1.30 Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.90/1.30 [ =( 'c_Product__Type_OSigma'(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.90/1.30 'tc_bool' ) ), T, Z, U ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.90/1.30 'c_Product__Type_OSigma'( X, T, Z, U ), 'c_Product__Type_OSigma'( Y, T, Z
% 0.90/1.30 , U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.90/1.30 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 0.90/1.30 ) ) ],
% 0.90/1.30 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.90/1.30 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL(
% 0.90/1.30 'c_in'( Y, X, T ) ) ],
% 0.90/1.30 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( 'c_in'( T, X
% 0.90/1.30 , Z ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z,
% 0.90/1.30 'tc_bool' ) ) ) ],
% 0.90/1.30 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.90/1.30 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL(
% 0.90/1.30 'c_in'( Y, X, T ) ) ],
% 0.90/1.30 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.90/1.30 , 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), hBOOL( 'c_in'(
% 0.90/1.30 T, X, Z ) ) ],
% 0.90/1.30 [ =( 'c_Relation_Oconverse'(
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.90/1.30 Z, T ), 'tc_bool' ) ), Z, T ),
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_Oconverse'( X,
% 0.90/1.30 Z, T ), 'c_Relation_Oconverse'( Y, Z, T ), 'tc_fun'( 'tc_prod'( T, Z ),
% 0.90/1.30 'tc_bool' ) ) ) ],
% 0.90/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.90/1.30 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.90/1.30 'tc_bool' ) ) ), hBOOL( 'c_in'( Y, X, T ) ) ],
% 0.90/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.90/1.30 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.90/1.30 'tc_bool' ) ) ), hBOOL( 'c_in'( X, T, Z ) ) ],
% 0.90/1.30 [ 'c_Relation_Ototal__on'( X, Y, Z ), ~(
% 0.90/1.30 'c_Order__Relation_Ostrict__linear__order__on'( X, Y, Z ) ) ],
% 0.90/1.30 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.90/1.30 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.90/1.30 ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.90/1.30 ) ],
% 0.90/1.30 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.90/1.30 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.90/1.30 ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.90/1.30 ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.90/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 0.90/1.30 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.90/1.30 X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.90/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.90/1.30 Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.90/1.30 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.90/1.30 [ =( 'c_Relation_Orel__comp'(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.90/1.30 Z, T ), 'tc_bool' ) ), U, Z, T, W ),
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.90/1.30 , U, Z, T, W ), 'c_Relation_Orel__comp'( Y, U, Z, T, W ), 'tc_fun'(
% 0.90/1.30 'tc_prod'( Z, W ), 'tc_bool' ) ) ) ],
% 0.90/1.30 [ =( 'c_Relation_Orel__comp'( X,
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'(
% 0.90/1.30 T, U ), 'tc_bool' ) ), W, T, U ),
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.90/1.30 , Y, W, T, U ), 'c_Relation_Orel__comp'( X, Z, W, T, U ), 'tc_fun'(
% 0.90/1.30 'tc_prod'( W, U ), 'tc_bool' ) ) ) ],
% 0.90/1.30 [ ~( 'class_HOL_Ominus'( X ) ), =( hAPP( 'c_HOL_Ominus__class_Ominus'( Y
% 0.90/1.30 , Z, 'tc_fun'( 't_a', X ) ), 'v_x' ), 'c_HOL_Ominus__class_Ominus'( hAPP(
% 0.90/1.30 Y, 'v_x' ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.90/1.30 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.90/1.30 , 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.90/1.30 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.90/1.30 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.90/1.30 , 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.90/1.30 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.90/1.30 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.90/1.30 Z, T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.90/1.30 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.90/1.30 T, Z, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.90/1.30 'c_lessequals'( Y, T, X ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.90/1.30 'c_lessequals'( Z, T, X ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.90/1.30 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.90/1.30 Z, T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.90/1.30 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.90/1.30 T, Z, X ), X ) ) ],
% 0.90/1.30 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.90/1.30 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.90/1.30 Z, 'tc_bool' ) ) ) ],
% 0.90/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.90/1.30 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X,
% 0.90/1.30 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.90/1.30 [ =( 'c_Relation_ODomain'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.90/1.30 X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), Z, T ),
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ODomain'( X, Z
% 0.90/1.30 , T ), 'c_Relation_ODomain'( Y, Z, T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ =( 'c_Set_Oinsert'( X, Y, Z ),
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X,
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y,
% 0.90/1.30 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_Wellfounded_Oacc'( X, Y ), 'c_Wellfounded_Oacc'( Z
% 0.90/1.30 , Y ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'(
% 0.90/1.30 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.90/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.90/1.30 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.90/1.30 'tc_bool' ) ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.90/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.90/1.30 Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.90/1.30 ) ) ) ],
% 0.90/1.30 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.90/1.30 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y,
% 0.90/1.30 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.90/1.30 'tc_bool' ) ), X ), X ), X ),
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_Relation_ORange'(
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.90/1.30 Z, T ), 'tc_bool' ) ), Z, T ),
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_ORange'( X, Z,
% 0.90/1.30 T ), 'c_Relation_ORange'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.90/1.30 T, 'tc_bool' ) ) ],
% 0.90/1.30 [ =( 'c_Transitive__Closure_Ortrancl'(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.90/1.30 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.90/1.30 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.90/1.30 'tc_bool' ) ), Y ), 'c_Transitive__Closure_Ortrancl'(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 0.90/1.30 Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 0.90/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.90/1.30 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ),
% 0.90/1.30 hBOOL( 'c_in'( X, T, Z ) ) ],
% 0.90/1.30 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.90/1.30 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.90/1.30 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.90/1.30 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X, 'tc_fun'( T,
% 0.90/1.30 'tc_bool' ) ), Y ) ) ) ],
% 0.90/1.30 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.90/1.30 'tc_bool' ) ), Y ) ) ) ],
% 0.90/1.30 [ =( 'c_Relation_ORange'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, T ), U,
% 0.90/1.30 'tc_prod'( Z, T ) ), Z, T ), 'c_Set_Oinsert'( Y, 'c_Relation_ORange'( U,
% 0.90/1.30 Z, T ), T ) ) ],
% 0.90/1.30 [ 'c_Relation_Osym'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y
% 0.90/1.30 , 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Osym'(
% 0.90/1.30 Y, Z ) ), ~( 'c_Relation_Osym'( X, Z ) ) ],
% 0.90/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ),
% 0.90/1.30 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.90/1.30 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Y ), hBOOL( 'c_in'( X, Y
% 0.90/1.30 , Z ) ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.90/1.30 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X,
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.90/1.30 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.90/1.30 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z
% 0.90/1.30 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T,
% 0.90/1.30 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.90/1.30 [ ~( =( hAPP( X, 'c_List_Osko__Recdef__Xcuts__eq__1__1'( X, Y, Z, T, U,
% 0.90/1.30 W ) ), hAPP( Y, 'c_List_Osko__Recdef__Xcuts__eq__1__1'( X, Y, Z, T, U, W
% 0.90/1.30 ) ) ) ), =( 'c_Recdef_Ocut'( X, Z, T, U, W ), 'c_Recdef_Ocut'( Y, Z, T,
% 0.90/1.30 U, W ) ) ],
% 0.90/1.30 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.90/1.30 'c_Complete__Lattice_OInf__class_OInf'( 'c_Set_Oinsert'( Y,
% 0.90/1.30 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.90/1.30 'tc_bool' ) ), X ), X ), X ),
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( T, Z )
% 0.90/1.30 , X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 0.90/1.30 'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Z, T ) ) ), ~(
% 0.90/1.30 hBOOL( 'c_in'( X, Y, T ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 0.90/1.30 'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Z, T ) ) ), ~(
% 0.90/1.30 hBOOL( 'c_in'( X, Y, T ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ) ), ~( hBOOL( 'c_in'(
% 0.90/1.30 X, Z, T ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ) ), ~( hBOOL( 'c_in'(
% 0.90/1.30 X, Z, T ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.90/1.30 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z,
% 0.90/1.30 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.90/1.30 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.90/1.30 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.90/1.30 'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Y, T ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.90/1.30 'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Z, T ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( X, Y, Z ) ), =( X, T ), ~( hBOOL( 'c_in'( X,
% 0.90/1.30 'c_Set_Oinsert'( T, Y, Z ), Z ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( X, Y, Z ) ), hBOOL( 'c_in'( X, T, Z ) ), ~( hBOOL(
% 0.90/1.30 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 'tc_fun'(
% 0.90/1.30 Z, 'tc_bool' ) ), Z ) ) ) ],
% 0.90/1.30 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X,
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X,
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X,
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.90/1.30 'tc_bool' ) ), Z ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X,
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.90/1.30 'tc_bool' ) ), Z ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.90/1.30 'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL( 'c_in'( X, Y
% 0.90/1.30 , T ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.90/1.30 'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL( 'c_in'( X, Y
% 0.90/1.30 , T ) ) ) ],
% 0.90/1.30 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ) ) ),
% 0.90/1.30 hBOOL( 'c_in'( X, T, Z ) ), hBOOL( 'c_in'( X, Y, Z ) ), =( Y, T ) ],
% 0.90/1.30 [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( hBOOL( 'c_in'( X, Y, Z ) ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ hBOOL( 'c_in'( X, Y, Z ) ), =( X, T ), ~( 'c_lessequals'( U,
% 0.90/1.30 'c_Product__Type_OSigma'( Y, 'c_COMBK'( Y, 'tc_fun'( Z, 'tc_bool' ), Z )
% 0.90/1.30 , Z, Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) ), ~( hBOOL( 'c_in'(
% 0.90/1.30 'c_Pair'( X, T, Z, Z ), 'c_Transitive__Closure_Ortrancl'( U, Z ),
% 0.90/1.30 'tc_prod'( Z, Z ) ) ) ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.90/1.30 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.90/1.30 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X,
% 0.90/1.30 'tc_prod'( Z, Z ) ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'c_Relation_Oirrefl'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.90/1.30 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 0.90/1.30 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1'( Y, X, Z, T ),
% 0.90/1.30 T, T ), Y, 'tc_prod'( T, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Z, T, T
% 0.90/1.30 ), 'c_Transitive__Closure_Otrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.90/1.30 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1'( X, Y, Z, T )
% 0.90/1.30 , Z, T, T ), X, 'tc_prod'( T, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, Z,
% 0.90/1.30 T, T ), 'c_Transitive__Closure_Otrancl'( X, T ), 'tc_prod'( T, T ) ) ) )
% 0.90/1.30 ],
% 0.90/1.30 [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 0.90/1.30 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.90/1.30 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.90/1.30 , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.90/1.30 [ =( 'c_Product__Type_OSigma'(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.90/1.30 'tc_bool' ) ), 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Product__Type_OSigma'( X
% 0.90/1.30 , 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.90/1.30 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.90/1.30 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.90/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.90/1.30 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( T,
% 0.90/1.30 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z,
% 0.90/1.30 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.90/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.90/1.30 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 0.90/1.30 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.90/1.30 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.90/1.30 [ 'c_Relation_Otrans'( X, Y ), ~(
% 0.90/1.30 'c_Order__Relation_Ostrict__linear__order__on'( Z, X, Y ) ) ],
% 0.90/1.30 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool'
% 0.90/1.30 ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL(
% 0.90/1.30 'c_in'( X, T, Z ) ) ) ],
% 0.90/1.30 [ =( 'c_Product__Type_OSigma'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.90/1.30 'tc_fun'( Z, 'tc_bool' ) ), 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ),
% 0.90/1.30 Z, U ), 'c_HOL_Ominus__class_Ominus'( 'c_Product__Type_OSigma'( X,
% 0.90/1.30 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.90/1.30 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.90/1.30 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.90/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.90/1.30 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.90/1.30 'tc_bool' ) ) ) ],
% 0.90/1.30 [ =( 'c_Relation_ORange'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.90/1.30 X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), Z, T ),
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ORange'( X, Z,
% 0.90/1.30 T ), 'c_Relation_ORange'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.90/1.30 [ 'c_Wellfounded_Owf'( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.90/1.30 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 0.90/1.30 'c_Wellfounded_Owf'( X, Z ) ) ],
% 0.90/1.30 [ 'c_Wellfounded_Owf'( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.90/1.30 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 0.90/1.30 'c_Wellfounded_Owf'( Y, Z ) ) ],
% 0.90/1.30 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.90/1.30 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.90/1.30 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y ), ~( hBOOL(
% 0.90/1.30 'c_in'( X, Y, Z ) ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 0.90/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X, 'tc_fun'( Y,
% 0.90/1.30 'tc_bool' ) ), X ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.90/1.30 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.90/1.30 Y, X ), Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.90/1.30 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.90/1.30 T, X ), Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.90/1.30 'c_lessequals'( Y, T, X ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.90/1.30 'c_lessequals'( Y, Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.90/1.30 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.90/1.30 Y, X ), Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.90/1.30 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.90/1.30 T, X ), Z, X ) ) ],
% 0.90/1.30 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 0.90/1.30 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.90/1.30 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 0.90/1.30 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP(
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( 't_a', X )
% 0.90/1.30 ), 'v_x' ), 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( Y, 'v_x'
% 0.90/1.30 ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.90/1.30 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.90/1.30 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.90/1.30 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.90/1.30 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( T
% 0.90/1.30 , Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 0.90/1.30 'tc_bool' ) ) ) ],
% 0.90/1.30 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( 'c_lessequals'(
% 0.90/1.30 Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.90/1.30 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'(
% 0.90/1.30 'tc_prod'( Y, Y ), 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'( Z, Y ) ), ~(
% 0.90/1.30 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.90/1.30 [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool'
% 0.90/1.30 ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 0.90/1.30 [ 'c_Relation_Osingle__valued'( X, Y, Z ), ~(
% 0.90/1.30 'c_Relation_Osingle__valued'( T, Y, Z ) ), ~( 'c_lessequals'( X, T,
% 0.90/1.30 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.90/1.30 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.90/1.30 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.90/1.30 T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.90/1.30 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.90/1.30 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.90/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.90/1.30 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.90/1.30 T, 'tc_bool' ) ) ) ],
% 0.90/1.30 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.90/1.30 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.90/1.30 Z, 'tc_bool' ) ) ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_Relation_ODomain'( X, Y, Z ), 'c_Relation_ODomain'(
% 0.90/1.30 T, Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'(
% 0.90/1.30 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.90/1.30 [ =( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.90/1.30 , 'tc_bool' ) ), Z ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.90/1.30 , 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y,
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.90/1.30 Z, 'tc_bool' ) ) ) ],
% 0.90/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.90/1.30 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.90/1.30 T, 'tc_bool' ) ) ) ],
% 0.90/1.30 [ hBOOL( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.90/1.30 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ), ~( hBOOL(
% 0.90/1.30 hAPP( X, T ) ) ) ],
% 0.90/1.30 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.90/1.30 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), Z ), ~(
% 0.90/1.30 'c_lessequals'( X, Y, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 0.90/1.30 , X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.90/1.30 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.90/1.30 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z
% 0.90/1.30 , T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 0.90/1.30 'tc_bool' ) ) ) ],
% 0.90/1.30 [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_lessequals'(
% 0.90/1.30 'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U ), 'tc_fun'( U,
% 0.90/1.30 'tc_bool' ) ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z )
% 0.90/1.30 , 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z,
% 0.90/1.30 'tc_bool' ) ) ) ],
% 0.90/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 0.90/1.30 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.90/1.30 ) ],
% 0.90/1.30 [ =( 'c_Set_Oimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.90/1.30 , Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ),
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oimage'( X, Y, T, U
% 0.90/1.30 ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_Relation_OImage'( X, Y, Z, T ), 'c_Relation_OImage'(
% 0.90/1.30 U, W, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, W,
% 0.90/1.30 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, U, 'tc_fun'(
% 0.90/1.30 'tc_prod'( Z, T ), 'tc_bool' ) ) ) ],
% 0.90/1.30 [ 'c_lessequals'( X, 'c_Product__Type_OSigma'( Y, 'c_COMBK'( Y, 'tc_fun'(
% 0.90/1.30 Z, 'tc_bool' ), Z ), Z, Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ),
% 0.90/1.30 ~( 'c_Equiv__Relations_Oequiv'( Y, X, Z ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.90/1.30 'c_lessequals'( Z, Y, X ) ],
% 0.90/1.30 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.90/1.30 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), ~(
% 0.90/1.30 hBOOL( 'c_in'( U, T, Z ) ) ) ],
% 0.90/1.30 [ 'c_Relation_Oirrefl'( X, Y ), ~(
% 0.90/1.30 'c_Order__Relation_Ostrict__linear__order__on'( Z, X, Y ) ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), U, 'tc_fun'( T,
% 0.90/1.30 'tc_bool' ) ), ~( hBOOL( 'c_in'( X, 'c_FuncSet_OPi'( Y, 'c_COMBK'( U,
% 0.90/1.30 'tc_fun'( T, 'tc_bool' ), Z ), Z, T ), 'tc_fun'( Z, T ) ) ) ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Z, 'tc_fun'(
% 0.90/1.30 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.90/1.30 'c_Relation_Orel__comp'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.90/1.30 'c_Transitive__Closure_Ortrancl'( X, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y )
% 0.90/1.30 , 'tc_bool' ) ), X, Y, Y, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool'
% 0.90/1.30 ) ) ), ~( 'c_lessequals'( 'c_Relation_OId'( Y ), Z, 'tc_fun'( 'tc_prod'(
% 0.90/1.30 Y, Y ), 'tc_bool' ) ) ) ],
% 0.90/1.30 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.90/1.30 'tc_fun'( Z, 'tc_bool' ) ) ) ), hBOOL( 'c_in'( X, Y, Z ) ) ],
% 0.90/1.30 [ =( X, Y ), ~( hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y,
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) )
% 0.90/1.30 ],
% 0.90/1.30 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.90/1.30 =( 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.90/1.30 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.90/1.30 ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.90/1.30 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ) ],
% 0.90/1.30 [ =( 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ),
% 0.90/1.30 'c_Set_Oimage'( X, Z, T, U ) ), ~( hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y, U, W ) ) )
% 0.90/1.30 , ~( 'c_lessequals'( 'c_Set_Oimage'( X, U, W, T ), Z, 'tc_fun'( T,
% 0.90/1.30 'tc_bool' ) ) ) ],
% 0.90/1.30 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.90/1.30 Y, 'c_Complete__Lattice_OSup__class_OSup'( Z, X ), X ), ~( hBOOL( 'c_in'(
% 0.90/1.30 Y, Z, X ) ) ) ],
% 0.90/1.30 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ),
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z, Y ),
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.90/1.30 [ ~( =( 'c_Product__Type_OSigma'( X, 'c_COMBK'( Y, 'tc_fun'( Z,
% 0.90/1.30 'tc_bool' ), T ), T, Z ), 'c_Product__Type_OSigma'( U, 'c_COMBK'( Y,
% 0.90/1.30 'tc_fun'( Z, 'tc_bool' ), T ), T, Z ) ) ), ~( hBOOL( 'c_in'( W, Y, Z ) )
% 0.90/1.30 ), =( X, U ) ],
% 0.90/1.30 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_Wellfounded_Owf'( 'c_Set_Oinsert'(
% 0.90/1.30 'c_Pair'( Z, T, Y, Y ), X, 'tc_prod'( Y, Y ) ), Y ) ) ],
% 0.90/1.30 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.90/1.30 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y,
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.90/1.30 ],
% 0.90/1.30 [ hBOOL( 'c_in'( X, 'c_Transitive__Closure_Ortrancl'(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'(
% 0.90/1.30 T, T ), 'tc_bool' ) ), T ), 'tc_prod'( T, T ) ) ), ~( hBOOL( 'c_in'( X,
% 0.90/1.30 'c_Transitive__Closure_Ortrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( X, 'c_Transitive__Closure_Ortrancl'(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'(
% 0.90/1.30 T, T ), 'tc_bool' ) ), T ), 'tc_prod'( T, T ) ) ), ~( hBOOL( 'c_in'( X,
% 0.90/1.30 'c_Transitive__Closure_Ortrancl'( Z, T ), 'tc_prod'( T, T ) ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( X, 'c_Transitive__Closure_Otrancl'( Y, Z ), 'tc_prod'(
% 0.90/1.30 Z, Z ) ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( 'tc_prod'( Z, Z ),
% 0.90/1.30 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, 'c_Transitive__Closure_Otrancl'( T
% 0.90/1.30 , Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.90/1.30 [ 'c_lessequals'( X, 'c_Complete__Lattice_OSup__class_OSup'( Y, 'tc_fun'(
% 0.90/1.30 Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL( 'c_in'( X, Y,
% 0.90/1.30 'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 0.90/1.30 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_Complete__Lattice_OInf__class_OInf'( Y, X ), Z, X ), ~( hBOOL( 'c_in'(
% 0.90/1.30 Z, Y, X ) ) ) ],
% 0.90/1.30 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.90/1.30 'c_Complete__Lattice_OInf__class_OInf'( 'c_Set_Oinsert'( Y,
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.90/1.30 ],
% 0.90/1.30 [ =( X, 'c_Relation_OImage'( Y, 'c_Set_Oinsert'(
% 0.90/1.30 'c_List_Osko__Equiv__Relations__XquotientE__1__1'( Z, X, Y, T ),
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T, T ) )
% 0.90/1.30 , ~( hBOOL( 'c_in'( X, 'c_Equiv__Relations_Oquotient'( Z, Y, T ),
% 0.90/1.30 'tc_fun'( T, 'tc_bool' ) ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( X, 'c_Complete__Lattice_OInf__class_OInf'( Y, 'tc_fun'(
% 0.90/1.30 Z, 'tc_bool' ) ), Z ) ), ~( hBOOL( 'c_in'( X,
% 0.90/1.30 'c_ATP__Linkup_Osko__Complete__Lattice__XInterI__1__1'( X, Y, Z ), Z ) )
% 0.90/1.30 ) ],
% 0.90/1.30 [ 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.90/1.30 , X, Y, Y, Y ), 'c_Relation_Orel__comp'( Z, X, Y, Y, Y ), 'tc_fun'(
% 0.90/1.30 'tc_prod'( Y, Y ), 'tc_bool' ) ), Z, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.90/1.30 'tc_bool' ) ), Y ), ~( 'c_Wellfounded_Owf'(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 0.90/1.30 Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 0.90/1.30 [ 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.90/1.30 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 0.90/1.30 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.90/1.30 , X, Z, Z, Z ), 'c_Relation_Orel__comp'( Y, X, Z, Z, Z ), 'tc_fun'(
% 0.90/1.30 'tc_prod'( Z, Z ), 'tc_bool' ) ), Y, 'tc_fun'( 'tc_prod'( Z, Z ),
% 0.90/1.30 'tc_bool' ) ), Z ) ) ],
% 0.90/1.30 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.90/1.30 'c_Relation_ODomain'( X, Y, Y ), 'c_Relation_ORange'( Z, Y, Y ), 'tc_fun'(
% 0.90/1.30 Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool'
% 0.90/1.30 ) ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ), ~( 'c_Wellfounded_Owf'( X, Y
% 0.90/1.30 ) ), 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.90/1.30 X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ],
% 0.90/1.30 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ),
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_Orel__comp'(
% 0.90/1.30 'c_Transitive__Closure_Otrancl'( X, Y ), X, Y, Y, Y ), 'tc_fun'(
% 0.90/1.30 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_Complete__Lattice_OInf__class_OInf'( X, 'tc_fun'( Y
% 0.90/1.30 , 'tc_bool' ) ), Z, 'tc_fun'( Y, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Z, X,
% 0.90/1.30 'tc_fun'( Y, 'tc_bool' ) ) ) ) ],
% 0.90/1.30 [ ~( =( 'c_Relation_Orel__comp'( X, Y, Z, Z, Z ),
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 0.90/1.30 ) ) ), ~( =( 'c_Relation_Orel__comp'( T, Y, Z, Z, Z ),
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 0.90/1.30 ) ) ), =( 'c_Relation_Orel__comp'(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( 'tc_prod'(
% 0.90/1.30 Z, Z ), 'tc_bool' ) ), Y, Z, Z, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.90/1.30 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) ) ],
% 0.90/1.30 [ ~( =( 'c_Relation_Orel__comp'( X, Y, Z, Z, Z ),
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 0.90/1.30 ) ) ), ~( =( 'c_Relation_Orel__comp'( X, T, Z, Z, Z ),
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 0.90/1.30 ) ) ), =( 'c_Relation_Orel__comp'( X,
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 'tc_fun'( 'tc_prod'(
% 0.90/1.30 Z, Z ), 'tc_bool' ) ), Z, Z, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.90/1.30 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) ) ],
% 0.90/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.90/1.30 'c_Transitive__Closure_Ortrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 0.90/1.30 'tc_prod'( Y, Y ), 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.90/1.30 ) ) ],
% 0.90/1.30 [ =( 'c_Transitive__Closure_Ortrancl'(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 0.90/1.30 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.90/1.30 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.90/1.30 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.90/1.30 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.90/1.30 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), X, 'tc_fun'(
% 0.90/1.30 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_Relation_Otrans'( X, Y ) ) ],
% 0.90/1.30 [ 'c_Relation_Osym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.90/1.30 'c_Relation_Oconverse'( X, Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool'
% 0.90/1.30 ) ), Y ) ],
% 0.90/1.30 [ 'c_Relation_Osym'( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.90/1.30 'c_Relation_Oconverse'( X, Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool'
% 0.90/1.30 ) ), Y ) ],
% 0.90/1.30 [ 'c_Relation_Otrans'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.90/1.30 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.90/1.30 ~( 'c_Relation_Otrans'( X, Y ) ) ],
% 0.90/1.30 [ =( 'c_Relation_OImage'( 'c_Relation_OId__on'( X, Y ), Z, Y, Y ),
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( Y,
% 0.90/1.30 'tc_bool' ) ) ) ],
% 0.90/1.30 [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 0.90/1.30 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 0.90/1.30 [ 'c_Relation_Oantisym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X
% 0.90/1.30 , 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y )
% 0.90/1.30 , ~( 'c_Relation_Oantisym'( X, Y ) ) ],
% 0.90/1.30 [ 'c_Relation_Ototal__on'( X, Y, Z ), ~( 'c_Relation_Ototal__on'( X,
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, 'c_Relation_OId'( Z ), 'tc_fun'(
% 0.90/1.30 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ) ) ],
% 0.90/1.30 [ 'c_Relation_Ototal__on'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.90/1.30 'c_Relation_OId'( Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ),
% 0.90/1.30 ~( 'c_Relation_Ototal__on'( X, Y, Z ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 0.90/1.30 hBOOL( 'c_in'( Y, U, Z ) ) ), ~( 'c_lessequals'( 'c_Relation_OImage'( T,
% 0.90/1.30 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.90/1.30 'tc_bool' ) ), Z ), Z, Z ), 'c_Relation_OImage'( T, 'c_Set_Oinsert'( X,
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.90/1.30 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, T, Z ) )
% 0.90/1.30 ],
% 0.90/1.30 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 0.90/1.30 hBOOL( 'c_in'( U, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.90/1.30 'c_Relation_OImage'( T, 'c_Set_Oinsert'( X,
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.90/1.30 'c_Relation_OImage'( T, 'c_Set_Oinsert'( Y,
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.90/1.30 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ), ~( 'c_Equiv__Relations_Oequiv'( W, T
% 0.90/1.30 , Z ) ) ],
% 0.90/1.30 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.90/1.30 'c_Complete__Lattice_OSup__class_OSup'( X, 'tc_fun'( Y, 'tc_bool' ) ), Z
% 0.90/1.30 , 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.90/1.30 , 'tc_bool' ) ) ) ), =( 'c_Lattices_Olower__semilattice__class_Oinf'( T,
% 0.90/1.30 Z, 'tc_fun'( Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.90/1.30 Y, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( T, X, 'tc_fun'( Y, 'tc_bool' ) ) )
% 0.90/1.30 ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.90/1.30 'c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1'( X, Y, Z, T, U, W,
% 0.90/1.30 V0 ), Y, V0, W ), T, 'tc_prod'( V0, W ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'(
% 0.90/1.30 X, Y, U, W ), 'c_Relation_Orel__comp'( Z, T, U, V0, W ), 'tc_prod'( U, W
% 0.90/1.30 ) ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 0.90/1.30 'c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1'( X, Y, Z, T, U, W,
% 0.90/1.30 V0 ), U, V0 ), Z, 'tc_prod'( U, V0 ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X,
% 0.90/1.30 Y, U, W ), 'c_Relation_Orel__comp'( Z, T, U, V0, W ), 'tc_prod'( U, W ) )
% 0.90/1.30 ) ) ],
% 0.90/1.30 [ ~( =( hAPP( X, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.90/1.30 'tc_bool' ) ) ) ), ~( hBOOL( 'c_in'( Y, T, U ) ) ), =( 'c_FuncSet_OPi'( T
% 0.90/1.30 , X, U, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_fun'( U, Z ),
% 0.90/1.30 'tc_bool' ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( 'c_List_Osko__Equiv__Relations__XquotientE__1__1'( X, Y
% 0.90/1.30 , Z, T ), X, T ) ), ~( hBOOL( 'c_in'( Y, 'c_Equiv__Relations_Oquotient'(
% 0.90/1.30 X, Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( X, 'c_FuncSet_OPi'( Y, Z, T, U ), 'tc_fun'( T, U ) ) )
% 0.90/1.30 , hBOOL( 'c_in'( 'c_FuncSet_Osko__FuncSet__XPi__I__1__1'( Y, Z, X, T, U )
% 0.90/1.30 , Y, T ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( X, 'c_FuncSet_OPi'( Y, Z, T, U ), 'tc_fun'( T, U ) ) )
% 0.90/1.30 , hBOOL( 'c_in'( 'c_FuncSet_Osko__FuncSet__XPi__I_H__1__1'( Y, Z, X, T, U
% 0.90/1.30 ), Y, T ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( X, 'c_FuncSet_OPi'( Y, Z, T, U ), 'tc_fun'( T, U ) ) )
% 0.90/1.30 , ~( hBOOL( 'c_in'( hAPP( X, 'c_FuncSet_Osko__FuncSet__XPi__I__1__1'( Y,
% 0.90/1.30 Z, X, T, U ) ), hAPP( Z, 'c_FuncSet_Osko__FuncSet__XPi__I__1__1'( Y, Z, X
% 0.90/1.30 , T, U ) ), U ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y, U, W ) ) )
% 0.90/1.30 , ~( hBOOL( 'c_in'( X, 'c_FuncSet_OPi'( U, 'c_COMBK'( Z, 'tc_fun'( T,
% 0.90/1.30 'tc_bool' ), W ), W, T ), 'tc_fun'( W, T ) ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( X, 'c_FuncSet_OPi'( Y, Z, T, U ), 'tc_fun'( T, U ) ) )
% 0.90/1.30 , ~( hBOOL( 'c_in'( hAPP( X, 'c_FuncSet_Osko__FuncSet__XPi__I_H__1__1'( Y
% 0.90/1.30 , Z, X, T, U ) ), hAPP( Z, 'c_FuncSet_Osko__FuncSet__XPi__I_H__1__1'( Y,
% 0.90/1.30 Z, X, T, U ) ), U ) ) ) ],
% 0.90/1.30 [ =( X, 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XIdE__1__1'( X, Y ),
% 0.90/1.30 'c_ATP__Linkup_Osko__Relation__XIdE__1__1'( X, Y ), Y, Y ) ), ~( hBOOL(
% 0.90/1.30 'c_in'( X, 'c_Relation_OId'( Y ), 'tc_prod'( Y, Y ) ) ) ) ],
% 0.90/1.30 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.90/1.30 ~( 'c_lessequals'( X, 'c_Relation_OImage'( Z, X, Y, Y ), 'tc_fun'( Y,
% 0.90/1.30 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ) ],
% 0.90/1.30 [ =( 'c_Product__Type_OSigma'( X, 'c_COMBK'(
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.90/1.30 'tc_bool' ), Z ), Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.90/1.30 'tc_prod'( Z, Y ), 'tc_bool' ) ) ) ],
% 0.90/1.30 [ 'c_Wellfounded_Owf'( X, Y ), ~( hBOOL( 'c_in'(
% 0.90/1.30 'c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1'( X, Y ),
% 0.90/1.30 'c_Wellfounded_Oacc'( X, Y ), Y ) ) ) ],
% 0.90/1.30 [ 'c_Wellfounded_Owf'( X, Y ), ~( hBOOL( 'c_in'(
% 0.90/1.30 'c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1'( X, Y ),
% 0.90/1.30 'c_Wellfounded_Oacc'( X, Y ), Y ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( X, 'c_Complete__Lattice_OInf__class_OInf'( Y, 'tc_fun'(
% 0.90/1.30 Z, 'tc_bool' ) ), Z ) ), hBOOL( 'c_in'(
% 0.90/1.30 'c_ATP__Linkup_Osko__Complete__Lattice__XInterI__1__1'( X, Y, Z ), Y,
% 0.90/1.30 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1'( X, Y, Z
% 0.90/1.30 ), X, Z ) ), ~( hBOOL( 'c_in'( Y, 'c_Relation_OId__on'( X, Z ),
% 0.90/1.30 'tc_prod'( Z, Z ) ) ) ) ],
% 0.90/1.30 [ =( X, 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1'( Y, X,
% 0.90/1.30 Z ), 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1'( Y, X, Z ), Z, Z ) )
% 0.90/1.30 , ~( hBOOL( 'c_in'( X, 'c_Relation_OId__on'( Y, Z ), 'tc_prod'( Z, Z ) )
% 0.90/1.30 ) ) ],
% 0.90/1.30 [ =( 'c_Recdef_Ocut'( X, Y, Z, T, U ), 'c_Recdef_Ocut'( W, Y, Z, T, U )
% 0.90/1.30 ), hBOOL( 'c_in'( 'c_Pair'( 'c_List_Osko__Recdef__Xcuts__eq__1__1'( X, W
% 0.90/1.30 , Y, Z, T, U ), Z, T, T ), Y, 'tc_prod'( T, T ) ) ) ],
% 0.90/1.30 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.90/1.30 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 0.90/1.30 'tc_prod'( Y, Y ), 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.90/1.30 ) ) ],
% 0.90/1.30 [ =( 'c_Transitive__Closure_Otrancl'(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 0.90/1.30 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.90/1.30 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.90/1.30 [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.90/1.30 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 0.90/1.30 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.90/1.30 [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_OId'( Y ),
% 0.90/1.30 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( X, Y ), X, Y,
% 0.90/1.30 Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.90/1.30 [ 'c_lessequals'( X, 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X
% 0.90/1.30 , Y, Y ), X, Y, Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~(
% 0.90/1.30 'c_Relation_Orefl__on'( Z, X, Y ) ) ],
% 0.90/1.30 [ =( 'c_Relation_ORange'( 'v_r', 't_a', 't_b' ), 'c_Relation_ODomain'(
% 0.90/1.30 'c_Relation_Oconverse'( 'v_r', 't_a', 't_b' ), 't_b', 't_a' ) ) ],
% 0.90/1.30 [ 'c_Relation_Oirrefl'( X, Y ), hBOOL( 'c_in'( 'c_Pair'(
% 0.90/1.30 'c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1'( X, Y ),
% 0.90/1.30 'c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1'( X, Y ), Y, Y ), X,
% 0.90/1.30 'tc_prod'( Y, Y ) ) ) ],
% 0.90/1.30 [ =( 'c_Relation_OImage'( X,
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.90/1.30 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.90/1.30 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 0.90/1.30 'tc_fun'( U, 'tc_bool' ) ) ), ~( 'c_Relation_Osingle__valued'(
% 0.90/1.30 'c_Relation_Oconverse'( X, T, U ), U, T ) ) ],
% 0.90/1.30 [ =( hAPP( 'c_Fun_Ofcomp'( 'v_f', 'v_g', 't_a', 't_b', 't_c' ), 'v_x' )
% 0.90/1.30 , hAPP( 'v_g', hAPP( 'v_f', 'v_x' ) ) ) ],
% 0.90/1.30 [ 'c_Relation_Otrans'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Relation_OId'(
% 0.90/1.30 Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ), ~(
% 0.90/1.30 'c_Relation_Oantisym'( X, Y ) ), ~( 'c_Relation_Otrans'( X, Y ) ) ],
% 0.90/1.30 [ 'c_Nitpick_Orefl_H'( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'(
% 0.90/1.30 'c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1'( X, Y ),
% 0.90/1.30 'c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1'( X, Y ), Y, Y ), X,
% 0.90/1.30 'tc_prod'( Y, Y ) ) ) ) ],
% 0.90/1.30 [ 'c_Order__Relation_Ostrict__linear__order__on'( X, Y, Z ), ~(
% 0.90/1.30 'c_Relation_Ototal__on'( X, Y, Z ) ), ~( 'c_Relation_Oirrefl'( Y, Z ) ),
% 0.90/1.30 ~( 'c_Relation_Otrans'( Y, Z ) ) ],
% 0.90/1.30 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.90/1.30 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.90/1.30 'c_Wellfounded_Owf'( 'c_Set_Oinsert'( 'c_Pair'( Y, X, Z, Z ), T,
% 0.90/1.30 'tc_prod'( Z, Z ) ), Z ) ) ],
% 0.90/1.30 [ 'c_Wellfounded_Owf'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, Z ), T,
% 0.90/1.30 'tc_prod'( Z, Z ) ), Z ), hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.90/1.30 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.90/1.30 'c_Wellfounded_Owf'( T, Z ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 0.90/1.30 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1'( Y, X, Z, T )
% 0.90/1.30 , T, T ), 'c_Transitive__Closure_Ortrancl'( Y, T ), 'tc_prod'( T, T ) ) )
% 0.90/1.30 , ~( hBOOL( 'c_in'( 'c_Pair'( X, Z, T, T ),
% 0.90/1.30 'c_Transitive__Closure_Otrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.90/1.30 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1'( X, Y, Z, T ),
% 0.90/1.30 Z, T, T ), 'c_Transitive__Closure_Ortrancl'( X, T ), 'tc_prod'( T, T ) )
% 0.90/1.30 ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, Z, T, T ),
% 0.90/1.30 'c_Transitive__Closure_Otrancl'( X, T ), 'tc_prod'( T, T ) ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( X, 'c_Relation_OImage'( Y, 'c_Set_Oinsert'( X,
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.90/1.30 Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( 'c_Equiv__Relations_Oequiv'( T
% 0.90/1.30 , Y, Z ) ) ],
% 0.90/1.30 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.90/1.30 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.90/1.30 ), =( X, Y ), ~( hBOOL( 'c_in'( Y, 'c_Equiv__Relations_Oquotient'( T, U
% 0.90/1.30 , Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ), ~( hBOOL( 'c_in'( X,
% 0.90/1.30 'c_Equiv__Relations_Oquotient'( T, U, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) )
% 0.90/1.30 , ~( 'c_Equiv__Relations_Oequiv'( T, U, Z ) ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X, Y
% 0.90/1.30 , Y ), X, Y, Y, Y ), X, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~(
% 0.90/1.30 'c_Relation_Otrans'( X, Y ) ), ~( 'c_Relation_Osym'( X, Y ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( X, 'c_Relation_OImage'( Y, 'c_Set_Oinsert'( Z,
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T, U ),
% 0.90/1.30 U ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Z, X, T, U ), Y, 'tc_prod'( T, U ) ) )
% 0.90/1.30 ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), ~(
% 0.90/1.30 hBOOL( 'c_in'( Y, 'c_Relation_OImage'( U, 'c_Set_Oinsert'( X,
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, T ),
% 0.90/1.30 T ) ) ) ],
% 0.90/1.30 [ =( 'c_Predicate_Oinv__imagep'( 'v_r', 'v_f', 'v_x', 'v_y', 't_a',
% 0.90/1.30 't_b' ), hAPP( hAPP( 'v_r', hAPP( 'v_f', 'v_x' ) ), hAPP( 'v_f', 'v_y' )
% 0.90/1.30 ) ) ],
% 0.90/1.30 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.90/1.30 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.90/1.30 , ~( hBOOL( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ) ),
% 0.90/1.30 ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.90/1.30 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.90/1.30 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.90/1.30 , ~( hBOOL( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ) ),
% 0.90/1.30 ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.90/1.30 'c_Equiv__Relations_Oquotient'( T, X, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ),
% 0.90/1.30 ~( hBOOL( 'c_in'( Y, T, Z ) ) ) ],
% 0.90/1.30 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.90/1.30 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.90/1.30 ), hBOOL( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ), ~(
% 0.90/1.30 hBOOL( 'c_in'( T, U, Z ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) )
% 0.90/1.30 ],
% 0.90/1.30 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.90/1.30 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.90/1.30 ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ), hBOOL( 'c_in'( 'c_Pair'(
% 0.90/1.30 Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( T, U, Z ) ) ),
% 0.90/1.30 ~( hBOOL( 'c_in'( Y, U, Z ) ) ) ],
% 0.90/1.30 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.90/1.30 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.90/1.30 , ~( hBOOL( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ) ),
% 0.90/1.30 ~( hBOOL( 'c_in'( T, U, Z ) ) ), ~( hBOOL( 'c_in'( Y, U, Z ) ) ), ~(
% 0.90/1.30 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.90/1.30 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.90/1.30 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.90/1.30 ), ~( hBOOL( 'c_in'( T, U, Z ) ) ), ~( hBOOL( 'c_in'( Y, U, Z ) ) ), ~(
% 0.90/1.30 'c_Equiv__Relations_Oequiv'( U, X, Z ) ), hBOOL( 'c_in'( 'c_Pair'( Y, T,
% 0.90/1.30 Z, Z ), X, 'tc_prod'( Z, Z ) ) ) ],
% 0.90/1.30 [ =( 'c_Equiv__Relations_Oquotient'( 'c_Set_Oinsert'( X,
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z, Y ),
% 0.90/1.30 'c_Equiv__Relations_Oquotient'( 'c_Set_Oinsert'( T,
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z, Y ) )
% 0.90/1.30 , ~( hBOOL( 'c_in'( 'c_Pair'( X, T, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ) ),
% 0.90/1.30 ~( hBOOL( 'c_in'( T, U, Y ) ) ), ~( hBOOL( 'c_in'( X, U, Y ) ) ), ~(
% 0.90/1.30 'c_Equiv__Relations_Oequiv'( U, Z, Y ) ) ],
% 0.90/1.30 [ ~( =( 'c_Equiv__Relations_Oquotient'( 'c_Set_Oinsert'( X,
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z, Y ),
% 0.90/1.30 'c_Equiv__Relations_Oquotient'( 'c_Set_Oinsert'( T,
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z, Y ) )
% 0.90/1.30 ), ~( hBOOL( 'c_in'( T, U, Y ) ) ), ~( hBOOL( 'c_in'( X, U, Y ) ) ), ~(
% 0.90/1.30 'c_Equiv__Relations_Oequiv'( U, Z, Y ) ), hBOOL( 'c_in'( 'c_Pair'( X, T,
% 0.90/1.30 Y, Y ), Z, 'tc_prod'( Y, Y ) ) ) ],
% 0.90/1.30 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.90/1.30 'c_Relation_Oconverse'( X, Y, Y ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.90/1.30 ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ),
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' )
% 0.90/1.30 ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Z, Z, Y, Y ),
% 0.90/1.30 'c_Transitive__Closure_Otrancl'( X, Y ), 'tc_prod'( Y, Y ) ) ) ) ],
% 0.90/1.30 [ ~( hBOOL( 'c_in'(
% 0.90/1.30 'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1'( X, Y, Z ),
% 0.90/1.30 'c_Wellfounded_Oacc'( X, Z ), Z ) ) ), hBOOL( 'c_in'( Y,
% 0.90/1.30 'c_Wellfounded_Oacc'( X, Z ), Z ) ) ],
% 0.90/1.30 [ =( 'c_Set_Oimage'( 'c_Fun_Oid'( X ), Y, X, X ), Y ) ],
% 0.90/1.30 [ =( 'c_Product__Type_OSigma'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.90/1.30 X, 'tc_bool' ) ), Y, X, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.90/1.30 'tc_prod'( X, Z ), 'tc_bool' ) ) ) ],
% 0.90/1.30 [ ~( =( 'c_Relation_ODomain'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.90/1.30 'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'(
% 0.90/1.30 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.90/1.30 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.90/1.30 'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.90/1.30 ) ), Z, X ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1'( X, Y
% 0.90/1.30 , Z, T, U ), X, T ) ), ~( hBOOL( 'c_in'( Y, 'c_Relation_OImage'( Z, X, T
% 0.90/1.30 , U ), U ) ) ) ],
% 0.90/1.30 [ =( 'c_Relation_ODomain'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 0.90/1.30 ), 'c_Relation_ODomain'( X, Y, Y ) ) ],
% 0.90/1.30 [ 'c_Relation_Osym'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 0.90/1.30 'c_Relation_Osym'( X, Y ) ) ],
% 0.90/1.30 [ 'c_Relation_Osym'( X, Y ), ~( 'c_Relation_Osym'(
% 0.90/1.30 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.90/1.30 [ hBOOL( hAPP( X, Y ) ), hBOOL( 'c_in'(
% 0.90/1.30 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, Z, T ),
% 0.90/1.30 'c_Wellfounded_Oacc'( Z, T ), T ) ), ~( hBOOL( 'c_in'( Y,
% 0.90/1.30 'c_Wellfounded_Oacc'( Z, T ), T ) ) ) ],
% 0.90/1.30 [ ~( =( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ),
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' )
% 0.90/1.30 ) ) ), 'c_Wellfounded_Owf'( X, Y ) ],
% 0.90/1.30 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.90/1.30 'v_sko__Wellfounded__Xacc__Xinducts__1'( X, Z ) ) ) ), ~( hBOOL( 'c_in'(
% 0.90/1.30 Y, 'c_Wellfounded_Oacc'( Z, 't_a' ), 't_a' ) ) ) ],
% 0.90/1.30 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), X ), ~(
% 0.90/1.30 'c_Relation_Otrans'( X, Y ) ) ],
% 0.90/1.30 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.90/1.30 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, Z, T ) ) ) ),
% 0.90/1.30 ~( hBOOL( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z, T ), T ) ) ) ],
% 0.90/1.30 [ 'c_Relation_Osym'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ), ~(
% 0.90/1.30 'c_Relation_Osym'( X, Y ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( 'c_ATP__Linkup_Osko__Relation__XImageE__1__1'( X, Y, Z
% 0.90/1.30 , T, U ), X, T ) ), ~( hBOOL( 'c_in'( Y, 'c_Relation_OImage'( Z, X, T, U
% 0.90/1.30 ), U ) ) ) ],
% 0.90/1.30 [ =( hAPP( 'c_Fun_Oid'( X ), Y ), Y ) ],
% 0.90/1.30 [ 'c_Relation_Osingle__valued'( 'c_Relation_OId__on'( X, Y ), Y, Y ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ hBOOL( 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~(
% 0.90/1.30 'c_Wellfounded_Owf'( Y, Z ) ) ],
% 0.90/1.30 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.90/1.30 'tc_bool' ) ), Y ) ) ) ],
% 0.90/1.30 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y,
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.90/1.30 'tc_bool' ) ), Y ) ) ) ],
% 0.90/1.30 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.90/1.30 'tc_bool' ) ), Y ) ) ) ],
% 0.90/1.30 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X ),
% 0.90/1.30 'c_Set_Oimage'( T, Y, Z, U ), U ) ) ],
% 0.90/1.30 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X ),
% 0.90/1.30 'c_Set_Oimage'( T, Y, Z, U ), U ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~(
% 0.90/1.30 hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~(
% 0.90/1.30 hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.90/1.30 [ =( hAPP( hAPP( 'c_curry'( X, Y, Z, T ), U ), W ), hAPP( X, 'c_Pair'( U
% 0.90/1.30 , W, Y, Z ) ) ) ],
% 0.90/1.30 [ hBOOL( hAPP( hAPP( hAPP( X, Y ), Z ), T ) ), ~( hBOOL( hAPP( hAPP(
% 0.90/1.30 'c_split'( X, U, W, 'tc_fun'( V0, 'tc_bool' ) ), 'c_Pair'( Y, Z, U, W ) )
% 0.90/1.30 , T ) ) ) ],
% 0.90/1.30 [ =( hAPP( 'c_split'( X, Y, Z, T ), 'c_Pair'( U, W, Y, Z ) ), hAPP( hAPP(
% 0.90/1.30 X, U ), W ) ) ],
% 0.90/1.30 [ =( hAPP( 'c_split'( X, Y, Z, T ), 'c_Pair'( U, W, Y, Z ) ), hAPP( hAPP(
% 0.90/1.30 X, U ), W ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.90/1.30 'c_Relation_Oconverse'( T, Z, Z ), Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL(
% 0.90/1.30 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_Oconverse'(
% 0.90/1.30 'c_Transitive__Closure_Otrancl'( T, Z ), Z, Z ), 'tc_prod'( Z, Z ) ) ) )
% 0.90/1.30 ],
% 0.90/1.30 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_Oconverse'(
% 0.90/1.30 'c_Transitive__Closure_Otrancl'( T, Z ), Z, Z ), 'tc_prod'( Z, Z ) ) ),
% 0.90/1.30 ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.90/1.30 'c_Relation_Oconverse'( T, Z, Z ), Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.90/1.30 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.90/1.30 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.90/1.30 hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Ortrancl'(
% 0.90/1.30 T, Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.90/1.30 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.90/1.30 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.90/1.30 hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Otrancl'( T
% 0.90/1.30 , Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.90/1.30 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL(
% 0.90/1.30 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ),
% 0.90/1.30 'tc_prod'( Z, Z ) ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.90/1.30 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), hBOOL(
% 0.90/1.30 'c_in'( 'c_Pair'( Y, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z )
% 0.90/1.30 , 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, X, Z, Z ),
% 0.90/1.30 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.90/1.30 hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'(
% 0.90/1.30 T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~( 'c_Relation_Osingle__valued'( T, Z, Z
% 0.90/1.30 ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.90/1.30 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL(
% 0.90/1.30 'c_in'( 'c_Pair'( Y, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'(
% 0.90/1.30 'c_Relation_Oconverse'( T, Z, Z ), Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.90/1.30 'c_Transitive__Closure_Ortrancl'( 'c_Relation_Oconverse'( T, Z, Z ), Z )
% 0.90/1.30 , 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.90/1.30 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.90/1.30 T, Z ), 'tc_prod'( Z, Z ) ) ), =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( X,
% 0.90/1.30 Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) )
% 0.90/1.30 ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.90/1.30 T, Z ), 'tc_prod'( Z, Z ) ) ), =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( X,
% 0.90/1.30 Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) )
% 0.90/1.30 ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.90/1.30 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL(
% 0.90/1.30 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ),
% 0.90/1.30 'tc_prod'( Z, Z ) ) ) ), =( X, Y ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.90/1.30 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.90/1.30 T, 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ),
% 0.90/1.30 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.90/1.30 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.90/1.30 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.90/1.30 hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( X, 'c_Transitive__Closure_Otrancl'( Y, Z ), 'tc_prod'(
% 0.90/1.30 Z, Z ) ) ), ~( hBOOL( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( X, 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'(
% 0.90/1.30 Z, Z ) ) ), ~( hBOOL( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ) ) ],
% 0.90/1.30 [ 'c_Relation_Osym'( 'c_Relation_OId'( X ), X ) ],
% 0.90/1.30 [ =( 'c_curry'( 'c_split'( X, Y, Z, T ), Y, Z, T ), X ) ],
% 0.90/1.30 [ hBOOL( 'c_Record_Oiso__tuple__surjective__proof__assist'( X, hAPP( Y,
% 0.90/1.30 X ), Y, Z, T ) ) ],
% 0.90/1.30 [ hBOOL( 'c_Record_Oiso__tuple__surjective__proof__assist'( X, hAPP( Y,
% 0.90/1.30 X ), Y, Z, T ) ) ],
% 0.90/1.30 [ 'c_Relation_Otrans'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.90/1.30 [ =( 'c_Relation_Orel__comp'( 'c_Relation_OId'( X ), Y, X, X, Z ), Y ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ =( 'c_Relation_Orel__comp'( X, 'c_Relation_OId'( Y ), Z, Y, Y ), X ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'c_Relation_Oantisym'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.90/1.30 [ =( 'c_split'( 'c_curry'( X, Y, Z, T ), Y, Z, T ), X ) ],
% 0.90/1.30 [ 'c_Wellfounded_Owf'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.90/1.30 'tc_prod'( X, X ), 'tc_bool' ) ), X ) ],
% 0.90/1.30 [ 'c_Wellfounded_Owf'( 'c_Relation_Oconverse'(
% 0.90/1.30 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y ), Y ), ~(
% 0.90/1.30 'c_Wellfounded_Owf'( 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.90/1.30 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.90/1.30 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, Z, T ) )
% 0.90/1.30 ) ), ~( hBOOL( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z, T ), T ) ) ) ],
% 0.90/1.30 [ 'c_Relation_Orefl__on'( X, Y, Z ), ~( 'c_Relation_Orefl__on'( X,
% 0.90/1.30 'c_Relation_Oconverse'( Y, Z, Z ), Z ) ) ],
% 0.90/1.30 [ 'c_Relation_Orefl__on'( X, 'c_Relation_Oconverse'( Y, Z, Z ), Z ), ~(
% 0.90/1.30 'c_Relation_Orefl__on'( X, Y, Z ) ) ],
% 0.90/1.30 [ =( 'c_Relation_OId__on'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.90/1.30 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'(
% 0.90/1.30 X, X ), 'tc_bool' ) ) ) ],
% 0.90/1.30 [ 'c_Relation_Osym'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ), ~(
% 0.90/1.30 'c_Relation_Osym'( X, Y ) ) ],
% 0.90/1.30 [ 'c_Wellfounded_Owf'( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), Y ),
% 0.90/1.30 ~( 'c_Wellfounded_Owf'( X, Y ) ) ],
% 0.90/1.30 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_Wellfounded_Owf'(
% 0.90/1.30 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), Y ) ) ],
% 0.90/1.30 [ =( 'c_Relation_OImage'( 'c_Relation_OId'( X ), Y, X, X ), Y ) ],
% 0.90/1.30 [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.90/1.30 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.90/1.30 'tc_bool' ) ) ) ],
% 0.90/1.30 [ 'c_Relation_Osingle__valued'( 'c_Relation_OId'( X ), X, X ) ],
% 0.90/1.30 [ =( 'c_Relation_ODomain'( 'c_Relation_OId__on'( X, Y ), Y, Y ), X ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ =( 'c_Relation_Oconverse'( X, Y, Y ), X ), ~( 'c_Relation_Osym'( X, Y
% 0.90/1.30 ) ) ],
% 0.90/1.30 [ ~( =( 'c_Relation_Oconverse'( X, Y, Y ), X ) ), 'c_Relation_Osym'( X,
% 0.90/1.30 Y ) ],
% 0.90/1.30 [ =( 'c_Relation_ODomain'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.90/1.30 'tc_prod'( X, Y ), 'tc_bool' ) ), X, Y ), 'c_Orderings_Obot__class_Obot'(
% 0.90/1.30 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.90/1.30 [ =( 'c_Relation_ORange'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 0.90/1.30 ), 'c_Relation_ORange'( X, Y, Y ) ) ],
% 0.90/1.30 [ 'c_Relation_Otrans'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ =( 'c_Relation_Oconverse'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ), Z
% 0.90/1.30 , U ), 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( Y, T, U ),
% 0.90/1.30 'c_Relation_Oconverse'( X, Z, T ), U, T, Z ) ) ],
% 0.90/1.30 [ 'c_Relation_Osym'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.90/1.30 [ 'c_Relation_Orefl__on'( X, 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.90/1.30 [ 'c_Wellfounded_Owf'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~(
% 0.90/1.30 'c_Wellfounded_Owf'( X, Z ) ) ],
% 0.90/1.30 [ =( 'c_Relation_Orel__comp'( X, 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.90/1.30 ), Y, Y, Y ), 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'(
% 0.90/1.30 X, Y ), X, Y, Y, Y ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP(
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.90/1.30 [ 'c_Relation_Osym'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~(
% 0.90/1.30 'c_Relation_Osym'( X, Z ) ) ],
% 0.90/1.30 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Orderings_Obot__class_Obot'(
% 0.90/1.30 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' ) ), X ), 'c_Relation_OId'( X ) )
% 0.90/1.30 ],
% 0.90/1.30 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.90/1.30 'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.90/1.30 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.90/1.30 [ =( 'c_Transitive__Closure_Otrancl'( 'c_Transitive__Closure_Ortrancl'(
% 0.90/1.30 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.90/1.30 [ 'c_Relation_Otrans'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ =( 'c_Relation_Orel__comp'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.90/1.30 'tc_prod'( X, Y ), 'tc_bool' ) ), Z, X, Y, T ),
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, T ), 'tc_bool' )
% 0.90/1.30 ) ) ],
% 0.90/1.30 [ =( 'c_Relation_Orel__comp'( X, 'c_Orderings_Obot__class_Obot'(
% 0.90/1.30 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ), T, Y, Z ),
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( T, Z ), 'tc_bool' )
% 0.90/1.30 ) ) ],
% 0.90/1.30 [ 'c_Relation_Otrans'( X, Y ), ~( 'c_Relation_Otrans'(
% 0.90/1.30 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.90/1.30 [ 'c_Relation_Otrans'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 0.90/1.30 'c_Relation_Otrans'( X, Y ) ) ],
% 0.90/1.30 [ =( 'c_Relation_Oconverse'( 'c_Relation_OId'( X ), X, X ),
% 0.90/1.30 'c_Relation_OId'( X ) ) ],
% 0.90/1.30 [ 'c_Wellfounded_Owf'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ), ~(
% 0.90/1.30 'c_Wellfounded_Owf'( X, Y ) ) ],
% 0.90/1.30 [ =( 'c_Relation_OImage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.90/1.30 , 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.90/1.30 'tc_bool' ) ) ) ],
% 0.90/1.30 [ =( 'c_Relation_Orel__comp'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 0.90/1.30 W, Z, U, V0 ), 'c_Relation_Orel__comp'( X, 'c_Relation_Orel__comp'( Y, W
% 0.90/1.30 , T, U, V0 ), Z, T, V0 ) ) ],
% 0.90/1.30 [ =( 'c_Relation_Oconverse'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T,
% 0.90/1.30 T ), 'c_Relation_Oinv__image'( 'c_Relation_Oconverse'( X, Z, Z ), Y, Z, T
% 0.90/1.30 ) ) ],
% 0.90/1.30 [ =( 'c_Transitive__Closure_Otrancl'( 'c_Relation_Oconverse'( X, Y, Y )
% 0.90/1.30 , Y ), 'c_Relation_Oconverse'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y
% 0.90/1.30 , Y ) ) ],
% 0.90/1.30 [ 'c_Relation_Otrans'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~(
% 0.90/1.30 'c_Relation_Otrans'( X, Z ) ) ],
% 0.90/1.30 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.90/1.30 'c_Complete__Lattice_OSup__class_OSup'( 'c_Orderings_Obot__class_Obot'(
% 0.90/1.30 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( X ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ =( 'c_Relation_Oconverse'( 'c_Relation_OId__on'( X, Y ), Y, Y ),
% 0.90/1.30 'c_Relation_OId__on'( X, Y ) ) ],
% 0.90/1.30 [ ~( =( 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X, Y, Y ), X, Y
% 0.90/1.30 , Y, Y ), X ) ), 'c_Equiv__Relations_Oequiv'( 'c_Relation_ODomain'( X, Y
% 0.90/1.30 , Y ), X, Y ) ],
% 0.90/1.30 [ 'c_Relation_Oantisym'( 'c_Relation_OId'( X ), X ) ],
% 0.90/1.30 [ =( 'c_Relation_ORange'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 0.90/1.30 'c_Relation_ODomain'( X, Y, Z ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'(
% 0.90/1.30 'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1'( X, Y, Z ), X,
% 0.90/1.30 Z ) ), ~( hBOOL( 'c_in'( T, X, Z ) ) ), ~( 'c_Wellfounded_Owf'( Y, Z ) )
% 0.90/1.30 ],
% 0.90/1.30 [ =( 'c_Relation_ORange'( 'c_Relation_OId__on'( X, Y ), Y, Y ), X ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'c_Relation_Osingle__valued'( 'c_Relation_Orel__comp'( X, Y, Z, T, U )
% 0.90/1.30 , Z, U ), ~( 'c_Relation_Osingle__valued'( Y, T, U ) ), ~(
% 0.90/1.30 'c_Relation_Osingle__valued'( X, Z, T ) ) ],
% 0.90/1.30 [ =( 'c_Relation_Oconverse'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 0.90/1.30 X ) ],
% 0.90/1.30 [ =( hAPP( X, Y ), Z ), ~( hBOOL(
% 0.90/1.30 'c_Record_Oiso__tuple__surjective__proof__assist'( Y, Z, X, T, U ) ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'c_Relation_Otrans'( 'c_Relation_OId'( X ), X ) ],
% 0.90/1.30 [ =( 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X, Y, Y ), X, Y, Y
% 0.90/1.30 , Y ), X ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y ) ) ],
% 0.90/1.30 [ =( 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.90/1.30 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ),
% 0.90/1.30 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.90/1.30 [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'(
% 0.90/1.30 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.90/1.30 [ 'c_Relation_Oantisym'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 0.90/1.30 'c_Relation_Oantisym'( X, Y ) ) ],
% 0.90/1.30 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.90/1.30 ) ), Y ) ) ) ],
% 0.90/1.30 [ ~( hBOOL( hAPP( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.90/1.30 'tc_fun'( Y, 'tc_bool' ) ) ), Z ), T ) ) ) ],
% 0.90/1.30 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.90/1.30 'v_sko__Wellfounded__Xacc__Xinduct__1'( X, Z ) ) ) ), ~( hBOOL( 'c_in'( Y
% 0.90/1.30 , 'c_Wellfounded_Oacc'( Z, 't_a' ), 't_a' ) ) ) ],
% 0.90/1.30 [ 'c_Relation_Orefl__on'( X, Y, Z ), ~( 'c_Equiv__Relations_Oequiv'( X,
% 0.90/1.30 Y, Z ) ) ],
% 0.90/1.30 [ =( 'c_Complete__Lattice_OSup__class_OSup'(
% 0.90/1.30 'c_Equiv__Relations_Oquotient'( X, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ), X
% 0.90/1.30 ), ~( 'c_Equiv__Relations_Oequiv'( X, Y, Z ) ) ],
% 0.90/1.30 [ 'c_Relation_Oantisym'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.90/1.30 'tc_prod'( X, X ), 'tc_bool' ) ), X ) ],
% 0.90/1.30 [ =( 'c_Relation_ORange'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.90/1.30 'tc_prod'( X, Y ), 'tc_bool' ) ), X, Y ), 'c_Orderings_Obot__class_Obot'(
% 0.90/1.30 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.90/1.30 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Relation_Oconverse'( X, Y, Y )
% 0.90/1.30 , Y ), 'c_Relation_Oconverse'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.90/1.30 Y, Y ) ) ],
% 0.90/1.30 [ ~( =( 'c_Product__Type_OPair__Rep'( X, Y, Z, T ),
% 0.90/1.30 'c_Product__Type_OPair__Rep'( U, W, Z, T ) ) ), =( X, U ) ],
% 0.90/1.30 [ ~( =( 'c_Product__Type_OPair__Rep'( X, Y, Z, T ),
% 0.90/1.30 'c_Product__Type_OPair__Rep'( U, W, Z, T ) ) ), =( Y, W ) ],
% 0.90/1.30 [ 'c_Relation_Orefl__on'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.90/1.30 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, X
% 0.90/1.30 ), 'tc_bool' ) ), X ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( 'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1'( X,
% 0.90/1.30 Y, Z ), X, Z ) ), ~( hBOOL( 'c_in'( T, X, Z ) ) ), ~( 'c_Wellfounded_Owf'(
% 0.90/1.30 Y, Z ) ) ],
% 0.90/1.30 [ 'c_Relation_Ototal__on'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.90/1.30 'tc_bool' ) ), Y, X ) ],
% 0.90/1.30 [ 'c_Relation_Osym'( X, Y ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y ) )
% 0.90/1.30 ],
% 0.90/1.30 [ =( hAPP( 'c_Fun_Ofcomp'( X, Y, Z, T, U ), W ), hAPP( Y, hAPP( X, W ) )
% 0.90/1.30 ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~( hBOOL(
% 0.90/1.30 'c_in'( 'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1'( Y, X, Z )
% 0.90/1.30 , 'c_Wellfounded_Oacc'( Y, Z ), Z ) ) ) ],
% 0.90/1.30 [ =( 'c_Fun_Ofcomp'( X, 'c_Fun_Oid'( Y ), Z, Y, Y ), X ) ],
% 0.90/1.30 [ =( 'c_Fun_Ofcomp'( 'c_Fun_Oid'( X ), Y, X, X, Z ), Y ) ],
% 0.90/1.30 [ 'c_Equiv__Relations_Ocongruent'( X, hAPP( Y, Z ), T, U ), ~( hBOOL(
% 0.90/1.30 'c_in'( Z, W, V0 ) ) ), ~( 'c_Equiv__Relations_Ocongruent2'( V1, X, Y, V0
% 0.90/1.30 , T, U ) ), ~( 'c_Equiv__Relations_Oequiv'( W, V1, V0 ) ) ],
% 0.90/1.30 [ =( 'c_Relation_ODomain'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 0.90/1.30 'c_Relation_ORange'( X, Y, Z ) ) ],
% 0.90/1.30 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_Orel__comp'(
% 0.90/1.30 'c_Transitive__Closure_Ortrancl'( X, Y ), X, Y, Y, Y ) ) ],
% 0.90/1.30 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_Orel__comp'( X
% 0.90/1.30 , 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ) ) ],
% 0.90/1.30 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Orderings_Obot__class_Obot'(
% 0.90/1.30 'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.90/1.30 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.90/1.30 [ =( X, Y ), ~( hBOOL( 'c_Record_Oiso__tuple__surjective__proof__assist'(
% 0.90/1.30 X, Y, 'c_Fun_Oid'( Z ), Z, Z ) ) ) ],
% 0.90/1.30 [ =( 'c_Relation_ORange'( X, Y, Z ), 'c_Relation_ODomain'(
% 0.90/1.30 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ) ) ],
% 0.90/1.30 [ 'c_Relation_Ototal__on'( X, Y, Z ), ~( 'c_Relation_Ototal__on'( X,
% 0.90/1.30 'c_Relation_Oconverse'( Y, Z, Z ), Z ) ) ],
% 0.90/1.30 [ 'c_Relation_Ototal__on'( X, 'c_Relation_Oconverse'( Y, Z, Z ), Z ),
% 0.90/1.30 ~( 'c_Relation_Ototal__on'( X, Y, Z ) ) ],
% 0.90/1.30 [ 'c_Relation_Otrans'( X, Y ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y )
% 0.90/1.30 ) ],
% 0.90/1.30 [ hBOOL( hAPP( X, Y ) ), hBOOL( 'c_in'(
% 0.90/1.30 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, Z, T ),
% 0.90/1.30 'c_Wellfounded_Oacc'( Z, T ), T ) ), ~( hBOOL( 'c_in'( Y,
% 0.90/1.30 'c_Wellfounded_Oacc'( Z, T ), T ) ) ) ],
% 0.90/1.30 [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), hAPP( Y, T ) ) ), ~( hBOOL(
% 0.90/1.30 'c_Predicate_Oinv__imagep'( X, Y, Z, T, U, W ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_Predicate_Oinv__imagep'( X, Y, Z, T, U, W ) ), ~( hBOOL(
% 0.90/1.30 hAPP( hAPP( X, hAPP( Y, Z ) ), hAPP( Y, T ) ) ) ) ],
% 0.90/1.30 [ =( 'c_Transitive__Closure_Otrancl'( 'c_Orderings_Obot__class_Obot'(
% 0.90/1.30 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' ) ), X ),
% 0.90/1.30 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' )
% 0.90/1.30 ) ) ],
% 0.90/1.30 [ ~( =( 'c_Relation_ORange'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.90/1.30 'tc_fun'( Z, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'(
% 0.90/1.30 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.90/1.30 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Transitive__Closure_Otrancl'(
% 0.90/1.30 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.90/1.30 [ =( 'c_Fun_Ofcomp'( 'c_Fun_Ofcomp'( X, Y, Z, T, U ), W, Z, U, V0 ),
% 0.90/1.30 'c_Fun_Ofcomp'( X, 'c_Fun_Ofcomp'( Y, W, T, U, V0 ), Z, T, V0 ) ) ],
% 0.90/1.30 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Transitive__Closure_Ortrancl'(
% 0.90/1.30 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.90/1.30 [ =( hAPP( 'c_Fun_Oid'( 't_a' ), 'v_x' ), 'v_x' ) ],
% 0.90/1.30 [ =( hAPP( 'c_Fun_Ofcomp'( X, Y, 't_a', Z, T ), 'v_x' ), hAPP( Y, hAPP(
% 0.90/1.30 X, 'v_x' ) ) ) ],
% 0.90/1.30 [ =( 'c_Record_Oiso__tuple__surjective__proof__assist'( 'v_x', 'v_y',
% 0.90/1.30 'v_f', 't_a', 't_b' ), 'c_fequal'( hAPP( 'v_f', 'v_x' ), 'v_y', 't_b' ) )
% 0.90/1.30 ],
% 0.90/1.30 [ =( hAPP( hAPP( 'c_Product__Type_OPair__Rep'( X, Y, 't_a', 't_b' ),
% 0.90/1.30 'v_x' ), 'v_y' ), 'c_and'( 'c_fequal'( 'v_x', X, 't_a' ), 'c_fequal'(
% 0.90/1.30 'v_y', Y, 't_b' ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XImageE__1__1'(
% 0.90/1.30 X, Y, Z, T, U ), Y, T, U ), Z, 'tc_prod'( T, U ) ) ), ~( hBOOL( 'c_in'( Y
% 0.90/1.30 , 'c_Relation_OImage'( Z, X, T, U ), U ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.90/1.30 'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1'( X, Y, Z ), Y, Z
% 0.90/1.30 , Z ), X, 'tc_prod'( Z, Z ) ) ), hBOOL( 'c_in'( Y, 'c_Wellfounded_Oacc'(
% 0.90/1.30 X, Z ), Z ) ) ],
% 0.90/1.30 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( 'c_in'(
% 0.90/1.30 'c_Pair'( Z, 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'(
% 0.90/1.30 X, T, U ), U, U ), T, 'tc_prod'( U, U ) ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.90/1.30 'c_Wellfounded_Oacc'( T, U ), U ) ) ) ],
% 0.90/1.30 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( 'c_in'(
% 0.90/1.30 'c_Pair'( Z, 'v_sko__Wellfounded__Xacc__Xinduct__1'( X, T ), 't_a', 't_a'
% 0.90/1.30 ), T, 'tc_prod'( 't_a', 't_a' ) ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.90/1.30 'c_Wellfounded_Oacc'( T, 't_a' ), 't_a' ) ) ) ],
% 0.90/1.30 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X,
% 0.90/1.30 'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1'( Y, T, Z ), Z, Z ), T
% 0.90/1.30 , 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( U, Y, Z ) ) ), ~(
% 0.90/1.30 'c_Wellfounded_Owf'( T, Z ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XRangeE__1__1'(
% 0.90/1.30 X, Y, Z, T ), X, T, Z ), Y, 'tc_prod'( T, Z ) ) ), ~( hBOOL( 'c_in'( X,
% 0.90/1.30 'c_Relation_ORange'( Y, T, Z ), Z ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), hBOOL( 'c_in'(
% 0.90/1.30 'c_Pair'( 'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1'( Y, X, Z
% 0.90/1.30 ), X, Z, Z ), Y, 'tc_prod'( Z, Z ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~( hBOOL(
% 0.90/1.30 'c_in'( T, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ) ), ~( hBOOL( 'c_in'(
% 0.90/1.30 'c_Pair'( X, T, Z, Z ), 'c_Transitive__Closure_Ortrancl'( Y, Z ),
% 0.90/1.30 'tc_prod'( Z, Z ) ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~( hBOOL(
% 0.90/1.30 'c_in'( 'c_Pair'( X, T, Z, Z ), 'c_Transitive__Closure_Ortrancl'( Y, Z )
% 0.90/1.30 , 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( T, 'c_Wellfounded_Oacc'( Y,
% 0.90/1.30 Z ), Z ) ) ) ],
% 0.90/1.30 [ hBOOL( hAPP( X, Y ) ), hBOOL( 'c_in'( Z, 'c_Wellfounded_Oacc'( T,
% 0.90/1.30 't_a' ), 't_a' ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Z,
% 0.90/1.30 'v_sko__Wellfounded__Xacc__Xinducts__1'( X, T ), 't_a', 't_a' ), T,
% 0.90/1.30 'tc_prod'( 't_a', 't_a' ) ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.90/1.30 'c_Wellfounded_Oacc'( T, 't_a' ), 't_a' ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, Z ), Z ) ), hBOOL(
% 0.90/1.30 'c_in'( 'c_Pair'( X, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( Y, Z )
% 0.90/1.30 , 'tc_prod'( Z, Z ) ) ) ],
% 0.90/1.30 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( 'c_in'(
% 0.90/1.30 'c_Pair'( Z, 'v_sko__Wellfounded__Xacc__Xinducts__1'( X, T ), 't_a',
% 0.90/1.30 't_a' ), T, 'tc_prod'( 't_a', 't_a' ) ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.90/1.30 'c_Wellfounded_Oacc'( T, 't_a' ), 't_a' ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( hAPP( hAPP( X, Y ), Z ), 'c_Set_Oimage'( 'c_split'( X,
% 0.90/1.30 T, U, W ), V0, 'tc_prod'( T, U ), W ), W ) ), ~( hBOOL( 'c_in'( 'c_Pair'(
% 0.90/1.30 Y, Z, T, U ), V0, 'tc_prod'( T, U ) ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 0.90/1.30 'c_ATP__Linkup_Osko__Relation__XDomainE__1__1'( X, Y, Z, T ), Z, T ), Y,
% 0.90/1.30 'tc_prod'( Z, T ) ) ), ~( hBOOL( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T
% 0.90/1.30 ), Z ) ) ) ],
% 0.90/1.30 [ hBOOL( hAPP( X, Y ) ), hBOOL( 'c_in'( Z, 'c_Wellfounded_Oacc'( T,
% 0.90/1.30 't_a' ), 't_a' ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Z,
% 0.90/1.30 'v_sko__Wellfounded__Xacc__Xinduct__1'( X, T ), 't_a', 't_a' ), T,
% 0.90/1.30 'tc_prod'( 't_a', 't_a' ) ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.90/1.30 'c_Wellfounded_Oacc'( T, 't_a' ), 't_a' ) ) ) ],
% 0.90/1.30 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( 'c_in'(
% 0.90/1.30 'c_Pair'( Z, 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, T
% 0.90/1.30 , U ), U, U ), T, 'tc_prod'( U, U ) ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.90/1.30 'c_Wellfounded_Oacc'( T, U ), U ) ) ) ],
% 0.90/1.30 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X,
% 0.90/1.30 'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1'( Y, T, Z ), Z,
% 0.90/1.30 Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( U, Y, Z ) ) ), ~(
% 0.90/1.30 'c_Wellfounded_Owf'( T, Z ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 0.90/1.30 'c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1'( X, Y, Z, T ), Z, T )
% 0.90/1.30 , Y, 'tc_prod'( Z, T ) ) ), ~( hBOOL( 'c_in'( X, 'c_Relation_ODomain'( Y
% 0.90/1.30 , Z, T ), Z ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.90/1.30 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1'( X, Y, Z, T, U ), Y, T
% 0.90/1.30 , U ), Z, 'tc_prod'( T, U ) ) ), ~( hBOOL( 'c_in'( Y, 'c_Relation_OImage'(
% 0.90/1.30 Z, X, T, U ), U ) ) ) ],
% 0.90/1.30 [ =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.90/1.30 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), hBOOL(
% 0.90/1.30 'c_in'( X, 'c_Relation_ODomain'( T, Z, Z ), Z ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.90/1.30 'c_ATP__Linkup_Osko__Relation__XRange__iff__1__1'( X, Y, Z, T ), X, T, Z
% 0.90/1.30 ), Y, 'tc_prod'( T, Z ) ) ), ~( hBOOL( 'c_in'( X, 'c_Relation_ORange'( Y
% 0.90/1.30 , T, Z ), Z ) ) ) ],
% 0.90/1.30 [ =( hAPP( hAPP( 'c_curry'( 'v_c', 't_a', 't_b', 't_c' ), 'v_x' ), 'v_y'
% 0.90/1.30 ), hAPP( 'v_c', 'c_Pair'( 'v_x', 'v_y', 't_a', 't_b' ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( X, hAPP( 'c_split'( Y, Z, T, 'tc_fun'( U, 'tc_bool' ) )
% 0.90/1.30 , 'c_Pair'( W, V0, Z, T ) ), U ) ), ~( hBOOL( 'c_in'( X, hAPP( hAPP( Y, W
% 0.90/1.30 ), V0 ), U ) ) ) ],
% 0.90/1.30 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, T ), U ) ), ~( hBOOL(
% 0.90/1.30 'c_in'( 'c_Pair'( Z, U, W, W ), V0, 'tc_prod'( W, W ) ) ) ), ~( hBOOL(
% 0.90/1.30 'c_in'( 'c_Pair'( Y, T, V1, V1 ), V2, 'tc_prod'( V1, V1 ) ) ) ), ~(
% 0.90/1.30 'c_Equiv__Relations_Ocongruent2'( V2, V0, X, V1, W, V3 ) ) ],
% 0.90/1.30 [ =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( Z, Y, T, U ), W, 'tc_prod'( T,
% 0.90/1.30 U ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Z, X, T, U ), W, 'tc_prod'( T, U )
% 0.90/1.30 ) ) ), ~( 'c_Relation_Osingle__valued'( W, T, U ) ) ],
% 0.90/1.30 [ =( hAPP( 'c_Recdef_Ocut'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), ~(
% 0.90/1.30 hBOOL( 'c_in'( 'c_Pair'( W, Z, T, T ), Y, 'tc_prod'( T, T ) ) ) ) ],
% 0.90/1.30 [ =( hAPP( 'c_Recdef_Ocut'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), ~(
% 0.90/1.30 hBOOL( 'c_in'( 'c_Pair'( W, Z, T, T ), Y, 'tc_prod'( T, T ) ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_FunDef_Oin__rel'( X, Y, Z, T, U ) ), ~( hBOOL( 'c_in'(
% 0.90/1.30 'c_Pair'( Y, Z, T, U ), X, 'tc_prod'( T, U ) ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), ~(
% 0.90/1.30 hBOOL( 'c_FunDef_Oin__rel'( U, X, Y, Z, T ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 0.90/1.30 hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.90/1.30 hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.90/1.30 'c_Relation_Otrans'( T, Z ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 0.90/1.30 hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.90/1.30 hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.90/1.30 'c_Relation_Otrans'( T, Z ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Oconverse'( U, T, Z
% 0.90/1.30 ), 'tc_prod'( Z, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, X, T, Z ), U,
% 0.90/1.30 'tc_prod'( T, Z ) ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Oconverse'( U, T, Z
% 0.90/1.30 ), 'tc_prod'( Z, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, X, T, Z ), U,
% 0.90/1.30 'tc_prod'( T, Z ) ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), ~(
% 0.90/1.30 hBOOL( 'c_in'( 'c_Pair'( Y, X, T, Z ), 'c_Relation_Oconverse'( U, Z, T )
% 0.90/1.30 , 'tc_prod'( T, Z ) ) ) ) ],
% 0.90/1.30 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ) ),
% 0.90/1.30 ~( 'c_Relation_Oirrefl'( Z, Y ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.90/1.30 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.90/1.30 T, 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ),
% 0.90/1.30 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.90/1.30 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.90/1.30 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.90/1.30 hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.90/1.30 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL(
% 0.90/1.30 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL(
% 0.90/1.30 'c_in'( 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z )
% 0.90/1.30 , 'tc_prod'( Z, Z ) ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.90/1.30 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL(
% 0.90/1.30 'c_in'( 'c_Pair'( U, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z )
% 0.90/1.30 , 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), T,
% 0.90/1.30 'tc_prod'( Z, Z ) ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.90/1.30 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.90/1.30 T, 'tc_prod'( Z, Z ) ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.90/1.30 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL(
% 0.90/1.30 'c_in'( 'c_Pair'( U, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z )
% 0.90/1.30 , 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ),
% 0.90/1.30 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ),
% 0.90/1.30 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_prod'( Y, Y ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ),
% 0.90/1.30 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_prod'( Y, Y ) ) ) ],
% 0.90/1.30 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ),
% 0.90/1.30 ~( hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.90/1.30 'c_Wellfounded_Owf'( T, Z ) ) ],
% 0.90/1.30 [ =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z,
% 0.90/1.30 Z ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z )
% 0.90/1.30 ) ) ), ~( 'c_Relation_Oantisym'( T, Z ) ) ],
% 0.90/1.30 [ =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z,
% 0.90/1.30 Z ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z )
% 0.90/1.30 ) ) ), ~( 'c_Relation_Oantisym'( T, Z ) ) ],
% 0.90/1.30 [ =( hAPP( X, Y ), hAPP( X, Z ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, Z, T,
% 0.90/1.30 T ), U, 'tc_prod'( T, T ) ) ) ), ~( 'c_Equiv__Relations_Ocongruent'( U, X
% 0.90/1.30 , T, W ) ) ],
% 0.90/1.30 [ =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.90/1.30 'c_Relation_OId__on'( T, Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.90/1.30 [ ~( =( 'c_Recdef_Ocut'( X, Y, Z, T, U ), 'c_Recdef_Ocut'( W, Y, Z, T, U
% 0.90/1.30 ) ) ), =( hAPP( X, V0 ), hAPP( W, V0 ) ), ~( hBOOL( 'c_in'( 'c_Pair'( V0
% 0.90/1.30 , Z, T, T ), Y, 'tc_prod'( T, T ) ) ) ) ],
% 0.90/1.30 [ =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId'(
% 0.90/1.30 Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ), ~(
% 0.90/1.30 'c_Nitpick_Orefl_H'( Z, Y ) ) ],
% 0.90/1.30 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ) ),
% 0.90/1.30 ~( 'c_Wellfounded_Owf'( Z, Y ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_Oinv__image'( T, U
% 0.90/1.30 , W, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( hAPP( U, X )
% 0.90/1.30 , hAPP( U, Y ), W, W ), T, 'tc_prod'( W, W ) ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( 'c_Pair'( hAPP( X, Y ), hAPP( X, Z ), T, T ), U,
% 0.90/1.30 'tc_prod'( T, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, Z, W, W ),
% 0.90/1.30 'c_Relation_Oinv__image'( U, X, T, W ), 'tc_prod'( W, W ) ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 0.90/1.30 hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.90/1.30 'c_Relation_Osym'( T, Z ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 0.90/1.30 hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.90/1.30 'c_Relation_Osym'( T, Z ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Orel__comp'( U, W,
% 0.90/1.30 Z, V0, T ), 'tc_prod'( Z, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( V1, Y, V0
% 0.90/1.30 , T ), W, 'tc_prod'( V0, T ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, V1, Z
% 0.90/1.30 , V0 ), U, 'tc_prod'( Z, V0 ) ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.90/1.30 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.90/1.30 T, 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), T,
% 0.90/1.30 'tc_prod'( Z, Z ) ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.90/1.30 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.90/1.30 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.90/1.30 hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Otrancl'( T
% 0.90/1.30 , Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId'( Y ),
% 0.90/1.30 'tc_prod'( Y, Y ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId'( Y ),
% 0.90/1.30 'tc_prod'( Y, Y ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( hAPP( X, Y ), hAPP( Z, Y ), T ) ), ~( hBOOL( 'c_in'( Y
% 0.90/1.30 , U, W ) ) ), ~( hBOOL( 'c_in'( X, 'c_FuncSet_OPi'( U, Z, W, T ),
% 0.90/1.30 'tc_fun'( W, T ) ) ) ) ],
% 0.90/1.30 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X ), hAPP( U
% 0.90/1.30 , X ), W ) ), ~( hBOOL( 'c_in'( T, 'c_FuncSet_OPi'( Y, U, Z, W ),
% 0.90/1.30 'tc_fun'( Z, W ) ) ) ) ],
% 0.90/1.30 [ =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( Z, T, U, U ), W, 'tc_prod'( U,
% 0.90/1.30 U ) ) ) ), ~( hBOOL( 'c_in'( T, Y, U ) ) ), ~( hBOOL( 'c_in'( Z, X, U ) )
% 0.90/1.30 ), ~( hBOOL( 'c_in'( Y, 'c_Equiv__Relations_Oquotient'( V0, W, U ),
% 0.90/1.30 'tc_fun'( U, 'tc_bool' ) ) ) ), ~( hBOOL( 'c_in'( X,
% 0.90/1.30 'c_Equiv__Relations_Oquotient'( V0, W, U ), 'tc_fun'( U, 'tc_bool' ) ) )
% 0.90/1.30 ), ~( 'c_Equiv__Relations_Oequiv'( V0, W, U ) ) ],
% 0.90/1.30 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( T, Y, Z ) ) ), ~(
% 0.90/1.30 hBOOL( 'c_in'( Y, 'c_Equiv__Relations_Oquotient'( U, W, Z ), 'tc_fun'( Z
% 0.90/1.30 , 'tc_bool' ) ) ) ), ~( hBOOL( 'c_in'( Y, 'c_Equiv__Relations_Oquotient'(
% 0.90/1.30 U, W, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ), ~( 'c_Equiv__Relations_Oequiv'(
% 0.90/1.30 U, W, Z ) ), hBOOL( 'c_in'( 'c_Pair'( T, X, Z, Z ), W, 'tc_prod'( Z, Z )
% 0.90/1.30 ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( Y, T, 'tc_fun'( Z,
% 0.90/1.30 'tc_bool' ) ) ) ), ~( hBOOL( 'c_in'( X,
% 0.90/1.30 'c_Complete__Lattice_OInf__class_OInf'( T, 'tc_fun'( Z, 'tc_bool' ) ), Z
% 0.90/1.30 ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( X, 'c_Complete__Lattice_OSup__class_OSup'( Y, 'tc_fun'(
% 0.90/1.30 Z, 'tc_bool' ) ), Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( hBOOL(
% 0.90/1.30 'c_in'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 0.90/1.30 [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' )
% 0.90/1.30 ), 'v_x' ), 'c_in'( 'v_x', 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.90/1.30 't_a', 'tc_bool' ) ), 't_a' ) ) ],
% 0.90/1.30 [ =( 'c_FunDef_Oin__rel'( 'v_R', 'v_x', 'v_y', 't_a', 't_b' ), 'c_in'(
% 0.90/1.30 'c_Pair'( 'v_x', 'v_y', 't_a', 't_b' ), 'v_R', 'tc_prod'( 't_a', 't_b' )
% 0.90/1.30 ) ) ],
% 0.90/1.30 [ =( hAPP( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a',
% 0.90/1.30 'tc_fun'( 't_b', 'tc_bool' ) ) ), 'v_x' ), 'v_y' ), 'c_in'( 'c_Pair'(
% 0.90/1.30 'v_x', 'v_y', 't_a', 't_b' ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.90/1.30 'tc_prod'( 't_a', 't_b' ), 'tc_bool' ) ), 'tc_prod'( 't_a', 't_b' ) ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ =( 'c_Predicate_Oinv__imagep'( X, Y, 'v_x', 'v_y', Z, 't_a' ), hAPP(
% 0.90/1.30 hAPP( X, hAPP( Y, 'v_x' ) ), hAPP( Y, 'v_y' ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Product__Type_OSigma'( U, W
% 0.90/1.30 , Z, T ), 'tc_prod'( Z, T ) ) ), ~( hBOOL( 'c_in'( Y, hAPP( W, X ), T ) )
% 0.90/1.30 ), ~( hBOOL( 'c_in'( X, U, Z ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Product__Type_OSigma'( U, W
% 0.90/1.30 , Z, T ), 'tc_prod'( Z, T ) ) ), ~( hBOOL( 'c_in'( Y, hAPP( W, X ), T ) )
% 0.90/1.30 ), ~( hBOOL( 'c_in'( X, U, Z ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~( hBOOL(
% 0.90/1.30 'c_in'( 'c_Pair'( X, T, Z, Z ), Y, 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL(
% 0.90/1.30 'c_in'( T, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~( hBOOL(
% 0.90/1.30 'c_in'( 'c_Pair'( X, T, Z, Z ), Y, 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL(
% 0.90/1.30 'c_in'( T, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ), ~( hBOOL(
% 0.90/1.30 'c_in'( 'c_Pair'( W, X, T, U ), Y, 'tc_prod'( T, U ) ) ) ), ~( hBOOL(
% 0.90/1.30 'c_in'( W, Z, T ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ) ), ~( hBOOL(
% 0.90/1.30 'c_in'( 'c_Pair'( W, X, T, U ), Y, 'tc_prod'( T, U ) ) ) ), ~( hBOOL(
% 0.90/1.30 'c_in'( W, Z, T ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, T, Z, Z ),
% 0.90/1.30 'c_Relation_OId__on'( Y, Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId__on'( Z, Y ),
% 0.90/1.30 'tc_prod'( Y, Y ) ) ), ~( hBOOL( 'c_in'( X, Z, Y ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( 'c_Pair'( T, X, Z, Z ),
% 0.90/1.30 U, 'tc_prod'( Z, Z ) ) ) ), ~( 'c_Equiv__Relations_Oequiv'( Y, U, Z ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, T, Z, Z ),
% 0.90/1.30 U, 'tc_prod'( Z, Z ) ) ) ), ~( 'c_Equiv__Relations_Oequiv'( Y, U, Z ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ hBOOL( 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ) ), ~( hBOOL(
% 0.90/1.30 'c_in'( 'c_Pair'( U, X, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ) ), ~( hBOOL(
% 0.90/1.30 'c_in'( 'c_Pair'( U, X, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ) ), ~( hBOOL(
% 0.90/1.30 'c_in'( 'c_Pair'( X, U, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ) ), ~( hBOOL(
% 0.90/1.30 'c_in'( 'c_Pair'( X, U, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( X, hAPP( Y, Z ), T ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Z,
% 0.90/1.30 X, U, T ), 'c_Product__Type_OSigma'( W, Y, U, T ), 'tc_prod'( U, T ) ) )
% 0.90/1.30 ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, T, Z, U ),
% 0.90/1.30 'c_Product__Type_OSigma'( Y, W, Z, U ), 'tc_prod'( Z, U ) ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), hBOOL(
% 0.90/1.30 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), =( Y, X ), ~(
% 0.90/1.30 hBOOL( 'c_in'( X, U, Z ) ) ), ~( hBOOL( 'c_in'( Y, U, Z ) ) ), ~(
% 0.90/1.30 'c_Relation_Ototal__on'( U, T, Z ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ), ~(
% 0.90/1.30 hBOOL( 'c_in'( X, T, Y ) ) ), ~( 'c_Relation_Orefl__on'( T, Z, Y ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( 'c_Pair'( T, X, Z, Z ),
% 0.90/1.30 U, 'tc_prod'( Z, Z ) ) ) ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, T, Z, Z ),
% 0.90/1.30 U, 'tc_prod'( Z, Z ) ) ) ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ), ~(
% 0.90/1.30 hBOOL( 'c_in'( X, T, Y ) ) ), ~( 'c_Relation_Orefl__on'( T, Z, Y ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( Y, W ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( X, U ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 0.90/1.30 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( 'v_L', 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'(
% 0.90/1.30 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.90/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ) ],
% 0.90/1.30 [ ~( =( 'v_x', 'v_y' ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( 'c_Pair'( 'v_y', 'v_x',
% 0.90/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.90/1.30 'v_L', 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.90/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'(
% 0.90/1.30 'v_x', 'v_y', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.90/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_L', 'tc_prod'(
% 0.90/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.90/1.30 ) ) ],
% 0.90/1.30 [ hBOOL( 'c_in'( 'c_Pair'( 'v_x', 'v_y',
% 0.90/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.90/1.30 'v_L', 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.90/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'(
% 0.90/1.30 'v_y', 'v_x', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.90/1.30 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_L', 'tc_prod'(
% 0.90/1.30 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.90/1.30 ) ) ],
% 0.90/1.30 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.90/1.30 'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ],
% 0.90/1.30 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.90/1.30 'class_Lattices_Olattice'( Y ) ) ],
% 0.90/1.30 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.90/1.30 'class_Lattices_Olattice'( Y ) ) ],
% 0.90/1.30 [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.90/1.30 'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 0.90/1.30 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.90/1.30 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 0.90/1.30 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.90/1.30 'class_Orderings_Opreorder'( Y ) ) ],
% 0.90/1.30 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 0.90/1.30 'class_Lattices_Olattice'( Y ) ) ],
% 0.90/1.30 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.90/1.30 'class_Orderings_Oorder'( Y ) ) ],
% 0.90/1.30 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 0.90/1.30 Y ) ) ],
% 0.90/1.30 [ 'class_HOL_Ominus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ominus'( Y ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 0.90/1.31 ,
% 0.90/1.31 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' ) ],
% 0.90/1.31 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 0.90/1.31 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 0.90/1.31 [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 0.90/1.31 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 0.90/1.31 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.90/1.31 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.90/1.31 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.90/1.31 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.90/1.31 [ 'class_HOL_Ominus'( 'tc_bool' ) ],
% 0.90/1.31 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 0.90/1.31 [ hBOOL( 'c_fequal'( X, X, Y ) ) ],
% 0.90/1.31 [ =( X, Y ), ~( hBOOL( 'c_fequal'( X, Y, Z ) ) ) ]
% 0.90/1.31 ] .
% 0.90/1.31
% 0.90/1.31
% 0.90/1.31 percentage equality = 0.254335, percentage horn = 0.931553
% 0.90/1.31 This is a problem with some equality
% 0.90/1.31
% 0.90/1.31
% 0.90/1.31
% 0.90/1.31 Options Used:
% 0.90/1.31
% 0.90/1.31 useres = 1
% 0.90/1.31 useparamod = 1
% 0.90/1.31 useeqrefl = 1
% 0.90/1.31 useeqfact = 1
% 0.90/1.31 usefactor = 1
% 0.90/1.31 usesimpsplitting = 0
% 0.90/1.31 usesimpdemod = 5
% 0.90/1.31 usesimpres = 3
% 0.90/1.31
% 0.90/1.31 resimpinuse = 1000
% 0.90/1.31 resimpclauses = 20000
% 0.90/1.31 substype = eqrewr
% 0.90/1.31 backwardsubs = 1
% 0.90/1.31 selectoldest = 5
% 0.90/1.31
% 0.90/1.31 litorderings [0] = split
% 0.90/1.31 litorderings [1] = extend the termordering, first sorting on arguments
% 0.90/1.31
% 0.90/1.31 termordering = kbo
% 0.90/1.31
% 0.90/1.31 litapriori = 0
% 0.90/1.31 termapriori = 1
% 0.90/1.31 litaposteriori = 0
% 0.90/1.31 termaposteriori = 0
% 0.90/1.31 demodaposteriori = 0
% 0.90/1.31 ordereqreflfact = 0
% 0.90/1.31
% 0.90/1.31 litselect = negord
% 0.90/1.31
% 0.90/1.31 maxweight = 15
% 0.90/1.31 maxdepth = 30000
% 0.90/1.31 maxlength = 115
% 0.90/1.31 maxnrvars = 195
% 0.90/1.31 excuselevel = 1
% 0.90/1.31 increasemaxweight = 1
% 0.90/1.31
% 0.90/1.31 maxselected = 10000000
% 0.90/1.31 maxnrclauses = 10000000
% 0.90/1.31
% 0.90/1.31 showgenerated = 0
% 0.90/1.31 showkept = 0
% 0.90/1.31 showselected = 0
% 0.90/1.31 showdeleted = 0
% 0.90/1.31 showresimp = 1
% 0.90/1.31 showstatus = 2000
% 0.90/1.31
% 0.90/1.31 prologoutput = 1
% 0.90/1.31 nrgoals = 5000000
% 0.90/1.31 totalproof = 1
% 0.90/1.31
% 0.90/1.31 Symbols occurring in the translation:
% 0.90/1.31
% 0.90/1.31 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.90/1.31 . [1, 2] (w:1, o:97, a:1, s:1, b:0),
% 0.90/1.31 ! [4, 1] (w:0, o:74, a:1, s:1, b:0),
% 0.90/1.31 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.90/1.31 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.90/1.31 'c_Set_Oinsert' [42, 3] (w:1, o:151, a:1, s:1, b:0),
% 0.90/1.31 'tc_bool' [44, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.90/1.31 'tc_fun' [45, 2] (w:1, o:122, a:1, s:1, b:0),
% 0.90/1.31 'c_HOL_Ominus__class_Ominus' [46, 3] (w:1, o:152, a:1, s:1, b:0),
% 0.90/1.31 'c_in' [47, 3] (w:1, o:153, a:1, s:1, b:0),
% 0.90/1.31 hBOOL [48, 1] (w:1, o:79, a:1, s:1, b:0),
% 0.90/1.31 'c_COMBK' [51, 3] (w:1, o:154, a:1, s:1, b:0),
% 0.90/1.31 'c_Product__Type_OSigma' [52, 4] (w:1, o:170, a:1, s:1, b:0),
% 0.90/1.31 'tc_prod' [53, 2] (w:1, o:123, a:1, s:1, b:0),
% 0.90/1.31 'c_lessequals' [54, 3] (w:1, o:155, a:1, s:1, b:0),
% 0.90/1.31 'c_Orderings_Obot__class_Obot' [55, 1] (w:1, o:80, a:1, s:1, b:0),
% 0.90/1.31 'c_Transitive__Closure_Otrancl' [57, 2] (w:1, o:124, a:1, s:1, b:0),
% 0.90/1.31
% 0.90/1.31 'c_Lattices_Olower__semilattice__class_Oinf' [59, 3] (w:1, o:156, a:1
% 0.90/1.31 , s:1, b:0),
% 0.90/1.31 'c_Relation_Orel__comp' [60, 5] (w:1, o:187, a:1, s:1, b:0),
% 0.90/1.31 'class_Lattices_Olattice' [63, 1] (w:1, o:81, a:1, s:1, b:0),
% 0.90/1.31 't_a' [66, 0] (w:1, o:27, a:1, s:1, b:0),
% 0.90/1.31 'c_Lattices_Oupper__semilattice__class_Osup' [67, 3] (w:1, o:157, a:1
% 0.90/1.31 , s:1, b:0),
% 0.90/1.31 'v_x' [68, 0] (w:1, o:28, a:1, s:1, b:0),
% 0.90/1.31 hAPP [69, 2] (w:1, o:125, a:1, s:1, b:0),
% 0.90/1.31 'c_Relation_ODomain' [70, 3] (w:1, o:145, a:1, s:1, b:0),
% 0.90/1.31 'class_Lattices_Odistrib__lattice' [71, 1] (w:1, o:82, a:1, s:1, b:0)
% 0.90/1.31 ,
% 0.90/1.31 'c_Relation_OId__on' [74, 2] (w:1, o:126, a:1, s:1, b:0),
% 0.90/1.31 'c_Relation_Orefl__on' [75, 3] (w:1, o:146, a:1, s:1, b:0),
% 0.90/1.31 'class_Lattices_Oupper__semilattice' [76, 1] (w:1, o:83, a:1, s:1, b:
% 0.90/1.31 0),
% 0.90/1.31 'c_Relation_OImage' [82, 4] (w:1, o:171, a:1, s:1, b:0),
% 0.90/1.31 'class_OrderedGroup_Oab__group__add' [86, 1] (w:1, o:84, a:1, s:1, b:
% 0.90/1.31 0),
% 0.90/1.31 'c_Set_Oimage' [89, 4] (w:1, o:173, a:1, s:1, b:0),
% 0.90/1.31 'class_Lattices_Olower__semilattice' [90, 1] (w:1, o:85, a:1, s:1, b:
% 0.90/1.31 0),
% 0.90/1.31 'c_Relation_ORange' [92, 3] (w:1, o:147, a:1, s:1, b:0),
% 0.90/1.31 'c_Transitive__Closure_Ortrancl' [93, 2] (w:1, o:127, a:1, s:1, b:0)
% 0.90/1.31 ,
% 0.90/1.31 'class_Complete__Lattice_Ocomplete__lattice' [94, 1] (w:1, o:86, a:1
% 0.90/1.31 , s:1, b:0),
% 0.90/1.31 'c_Complete__Lattice_OInf__class_OInf' [96, 2] (w:1, o:128, a:1, s:1
% 0.90/1.31 , b:0),
% 0.90/1.31 'class_Orderings_Obot' [97, 1] (w:1, o:87, a:1, s:1, b:0),
% 0.90/1.31 'c_Complete__Lattice_OSup__class_OSup' [98, 2] (w:1, o:129, a:1, s:1
% 0.90/1.31 , b:0),
% 0.90/1.31 't_b' [99, 0] (w:1, o:48, a:1, s:1, b:0),
% 0.90/1.31 'v_f' [100, 0] (w:1, o:49, a:1, s:1, b:0),
% 0.90/1.31 'v_g' [101, 0] (w:1, o:50, a:1, s:1, b:0),
% 0.90/1.31 'c_Pair' [102, 4] (w:1, o:174, a:1, s:1, b:0),
% 0.90/1.31 'c_Relation_Osym' [103, 2] (w:1, o:130, a:1, s:1, b:0),
% 0.90/1.31 'class_Lattices_Obounded__lattice' [104, 1] (w:1, o:88, a:1, s:1, b:0
% 0.90/1.31 ),
% 0.90/1.31 'c_Wellfounded_Owf' [105, 2] (w:1, o:131, a:1, s:1, b:0),
% 0.90/1.31 'c_Relation_Otrans' [108, 2] (w:1, o:132, a:1, s:1, b:0),
% 0.90/1.31 'class_Orderings_Oorder' [109, 1] (w:1, o:89, a:1, s:1, b:0),
% 0.90/1.31 'c_Relation_Oconverse' [111, 3] (w:1, o:148, a:1, s:1, b:0),
% 0.90/1.31 'c_Relation_Ototal__on' [112, 3] (w:1, o:150, a:1, s:1, b:0),
% 0.90/1.31 'c_Order__Relation_Ostrict__linear__order__on' [113, 3] (w:1, o:158
% 0.90/1.31 , a:1, s:1, b:0),
% 0.90/1.31 'class_HOL_Ominus' [115, 1] (w:1, o:90, a:1, s:1, b:0),
% 0.90/1.31 'c_Wellfounded_Oacc' [117, 2] (w:1, o:133, a:1, s:1, b:0),
% 0.90/1.31 'c_List_Osko__Recdef__Xcuts__eq__1__1' [119, 6] (w:1, o:196, a:1, s:1
% 0.90/1.31 , b:0),
% 0.90/1.31 'c_Recdef_Ocut' [120, 5] (w:1, o:188, a:1, s:1, b:0),
% 0.90/1.31 'class_HOL_Oord' [121, 1] (w:1, o:91, a:1, s:1, b:0),
% 0.90/1.31 'c_Equiv__Relations_Oequiv' [123, 3] (w:1, o:159, a:1, s:1, b:0),
% 0.90/1.31 'c_Relation_OId' [124, 1] (w:1, o:92, a:1, s:1, b:0),
% 0.90/1.31 'c_Relation_Oirrefl' [125, 2] (w:1, o:134, a:1, s:1, b:0),
% 0.90/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1' [126, 4]
% 0.90/1.31 (w:1, o:175, a:1, s:1, b:0),
% 0.90/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1' [127, 4]
% 0.90/1.31 (w:1, o:176, a:1, s:1, b:0),
% 0.90/1.31 'class_Orderings_Opreorder' [129, 1] (w:1, o:93, a:1, s:1, b:0),
% 0.90/1.31 'c_Relation_Oantisym' [130, 2] (w:1, o:135, a:1, s:1, b:0),
% 0.90/1.31 'c_Relation_Osingle__valued' [131, 3] (w:1, o:149, a:1, s:1, b:0),
% 0.90/1.31 'class_OrderedGroup_Opordered__ab__group__add' [132, 1] (w:1, o:94
% 5.91/6.28 , a:1, s:1, b:0),
% 5.91/6.28 'class_Orderings_Olinorder' [134, 1] (w:1, o:95, a:1, s:1, b:0),
% 5.91/6.28 'c_FuncSet_OPi' [135, 4] (w:1, o:178, a:1, s:1, b:0),
% 5.91/6.28 'c_List_Osko__Equiv__Relations__XquotientE__1__1' [137, 4] (w:1, o:
% 5.91/6.28 179, a:1, s:1, b:0),
% 5.91/6.28 'c_Equiv__Relations_Oquotient' [138, 3] (w:1, o:160, a:1, s:1, b:0),
% 5.91/6.28
% 5.91/6.28 'c_ATP__Linkup_Osko__Complete__Lattice__XInterI__1__1' [139, 3] (w:1
% 5.91/6.28 , o:161, a:1, s:1, b:0),
% 5.91/6.28 'c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1' [140, 7] (w:1
% 5.91/6.28 , o:199, a:1, s:1, b:0),
% 5.91/6.28 'c_FuncSet_Osko__FuncSet__XPi__I__1__1' [141, 5] (w:1, o:189, a:1, s:
% 5.91/6.28 1, b:0),
% 5.91/6.28 'c_FuncSet_Osko__FuncSet__XPi__I_H__1__1' [142, 5] (w:1, o:190, a:1
% 5.91/6.28 , s:1, b:0),
% 5.91/6.28 'c_ATP__Linkup_Osko__Relation__XIdE__1__1' [143, 2] (w:1, o:136, a:1
% 5.91/6.28 , s:1, b:0),
% 5.91/6.28 'c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1' [144, 2] (w:1
% 5.91/6.28 , o:137, a:1, s:1, b:0),
% 5.91/6.28 'c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1' [145, 2] (w:1, o:
% 5.91/6.28 138, a:1, s:1, b:0),
% 5.91/6.28 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1' [146, 3] (w:1, o:162
% 5.91/6.28 , a:1, s:1, b:0),
% 5.91/6.28 'v_r' [147, 0] (w:1, o:59, a:1, s:1, b:0),
% 5.91/6.28 'c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1' [148, 2] (w:1, o:
% 5.91/6.28 139, a:1, s:1, b:0),
% 5.91/6.28 't_c' [149, 0] (w:1, o:60, a:1, s:1, b:0),
% 5.91/6.28 'c_Fun_Ofcomp' [150, 5] (w:1, o:191, a:1, s:1, b:0),
% 5.91/6.28 'c_Nitpick_Orefl_H' [151, 2] (w:1, o:140, a:1, s:1, b:0),
% 5.91/6.28 'c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1' [152, 2] (w:1, o:141
% 5.91/6.28 , a:1, s:1, b:0),
% 5.91/6.28 'v_y' [154, 0] (w:1, o:62, a:1, s:1, b:0),
% 5.91/6.28 'c_Predicate_Oinv__imagep' [155, 6] (w:1, o:197, a:1, s:1, b:0),
% 5.91/6.28 'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1' [156, 3] (w:
% 5.91/6.28 1, o:163, a:1, s:1, b:0),
% 5.91/6.28 'c_Fun_Oid' [157, 1] (w:1, o:96, a:1, s:1, b:0),
% 5.91/6.28 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1' [158, 5] (w:1, o:
% 5.91/6.28 192, a:1, s:1, b:0),
% 5.91/6.28 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1' [159, 3]
% 5.91/6.28 (w:1, o:164, a:1, s:1, b:0),
% 5.91/6.28 'v_sko__Wellfounded__Xacc__Xinducts__1' [160, 2] (w:1, o:142, a:1, s:
% 5.91/6.28 1, b:0),
% 5.91/6.28 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1' [161, 3] (w:1
% 5.91/6.28 , o:165, a:1, s:1, b:0),
% 5.91/6.28 'c_ATP__Linkup_Osko__Relation__XImageE__1__1' [162, 5] (w:1, o:193
% 5.91/6.28 , a:1, s:1, b:0),
% 5.91/6.28 'c_curry' [164, 4] (w:1, o:180, a:1, s:1, b:0),
% 5.91/6.28 'c_split' [165, 4] (w:1, o:181, a:1, s:1, b:0),
% 5.91/6.28 'c_Record_Oiso__tuple__surjective__proof__assist' [166, 5] (w:1, o:
% 5.91/6.28 194, a:1, s:1, b:0),
% 5.91/6.28 'c_Relation_Oinv__image' [167, 4] (w:1, o:172, a:1, s:1, b:0),
% 5.91/6.28 'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1' [169, 3]
% 5.91/6.28 (w:1, o:166, a:1, s:1, b:0),
% 5.91/6.28 'v_sko__Wellfounded__Xacc__Xinduct__1' [170, 2] (w:1, o:143, a:1, s:1
% 5.91/6.28 , b:0),
% 5.91/6.28 'c_Product__Type_OPair__Rep' [171, 4] (w:1, o:182, a:1, s:1, b:0),
% 5.91/6.28 'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1' [174, 3] (w:1, o:
% 5.91/6.28 167, a:1, s:1, b:0),
% 5.91/6.28 'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1' [175, 3] (w:1
% 5.91/6.28 , o:168, a:1, s:1, b:0),
% 5.91/6.28 'c_Equiv__Relations_Ocongruent' [177, 4] (w:1, o:177, a:1, s:1, b:0)
% 5.91/6.28 ,
% 5.91/6.28 'c_Equiv__Relations_Ocongruent2' [179, 6] (w:1, o:198, a:1, s:1, b:0)
% 5.91/6.28 ,
% 5.91/6.28 'c_fequal' [181, 3] (w:1, o:169, a:1, s:1, b:0),
% 5.91/6.28 'c_and' [182, 2] (w:1, o:144, a:1, s:1, b:0),
% 5.91/6.28 'c_ATP__Linkup_Osko__Relation__XRangeE__1__1' [183, 4] (w:1, o:183
% 5.91/6.28 , a:1, s:1, b:0),
% 5.91/6.28 'c_ATP__Linkup_Osko__Relation__XDomainE__1__1' [185, 4] (w:1, o:184
% 5.91/6.28 , a:1, s:1, b:0),
% 5.91/6.28 'c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1' [186, 4] (w:1, o:
% 5.91/6.28 185, a:1, s:1, b:0),
% 5.91/6.28 'c_ATP__Linkup_Osko__Relation__XRange__iff__1__1' [187, 4] (w:1, o:
% 5.91/6.28 186, a:1, s:1, b:0),
% 5.91/6.28 'v_c' [188, 0] (w:1, o:65, a:1, s:1, b:0),
% 5.91/6.28 'c_FunDef_Oin__rel' [193, 5] (w:1, o:195, a:1, s:1, b:0),
% 5.91/6.28 'v_R' [194, 0] (w:1, o:68, a:1, s:1, b:0),
% 5.91/6.28 'v_L' [195, 0] (w:1, o:69, a:1, s:1, b:0),
% 5.91/6.28 'c_Arrow__Order__Mirabelle_OLin' [196, 0] (w:1, o:70, a:1, s:1, b:0)
% 5.91/6.28 ,
% 5.91/6.28 'tc_Arrow__Order__Mirabelle_Oalt' [197, 0] (w:1, o:71, a:1, s:1, b:0)
% 5.91/6.28 .
% 5.91/6.28
% 5.91/6.28
% 5.91/6.28 Starting Search:
% 20.21/20.64
% 20.21/20.64 Resimplifying inuse:
% 20.21/20.64 Done
% 20.21/20.64
% 20.21/20.64
% 20.21/20.64 Intermediate Status:
% 20.21/20.64 Generated: 5183
% 20.21/20.64 Kept: 2061
% 20.21/20.64 Inuse: 165
% 20.21/20.64 Deleted: 2
% 20.21/20.64 Deletedinuse: 0
% 20.21/20.64
% 20.21/20.64 Resimplifying inuse:
% 20.21/20.64 Done
% 20.21/20.64
% 20.21/20.64 Resimplifying inuse:
% 20.21/20.64 Done
% 20.21/20.64
% 20.21/20.64
% 20.21/20.64 Intermediate Status:
% 20.21/20.64 Generated: 11099
% 20.21/20.64 Kept: 4064
% 20.21/20.64 Inuse: 285
% 20.21/20.64 Deleted: 7
% 20.21/20.64 Deletedinuse: 3
% 20.21/20.64
% 20.21/20.64 Resimplifying inuse:
% 20.21/20.64 Done
% 20.21/20.64
% 20.21/20.64 Resimplifying inuse:
% 20.21/20.64 Done
% 20.21/20.64
% 20.21/20.64
% 20.21/20.64 Intermediate Status:
% 20.21/20.64 Generated: 17811
% 20.21/20.64 Kept: 6254
% 20.21/20.64 Inuse: 371
% 20.21/20.64 Deleted: 13
% 20.21/20.64 Deletedinuse: 7
% 20.21/20.64
% 20.21/20.64 Resimplifying inuse:
% 20.21/20.64 Done
% 20.21/20.64
% 20.21/20.64 Resimplifying inuse:
% 20.21/20.64 Done
% 20.21/20.64
% 20.21/20.64
% 20.21/20.64 Intermediate Status:
% 20.21/20.64 Generated: 26452
% 20.21/20.64 Kept: 8299
% 20.21/20.64 Inuse: 471
% 20.21/20.64 Deleted: 18
% 20.21/20.64 Deletedinuse: 8
% 20.21/20.64
% 20.21/20.64 Resimplifying inuse:
% 20.21/20.64 Done
% 20.21/20.64
% 20.21/20.64 Resimplifying inuse:
% 20.21/20.64 Done
% 20.21/20.64
% 20.21/20.64
% 20.21/20.64 Intermediate Status:
% 20.21/20.64 Generated: 38701
% 20.21/20.64 Kept: 10299
% 20.21/20.64 Inuse: 524
% 20.21/20.64 Deleted: 23
% 20.21/20.64 Deletedinuse: 10
% 20.21/20.64
% 20.21/20.64
% 20.21/20.64 Intermediate Status:
% 20.21/20.64 Generated: 52910
% 20.21/20.64 Kept: 12628
% 20.21/20.64 Inuse: 537
% 20.21/20.64 Deleted: 24
% 20.21/20.64 Deletedinuse: 10
% 20.21/20.64
% 20.21/20.64 Resimplifying inuse:
% 20.21/20.64 Done
% 20.21/20.64
% 20.21/20.64
% 20.21/20.64 Intermediate Status:
% 20.21/20.64 Generated: 68159
% 20.21/20.64 Kept: 14739
% 20.21/20.64 Inuse: 542
% 20.21/20.64 Deleted: 24
% 20.21/20.64 Deletedinuse: 10
% 20.21/20.64
% 20.21/20.64 Resimplifying inuse:
% 20.21/20.64 Done
% 20.21/20.64
% 20.21/20.64 Resimplifying inuse:
% 20.21/20.64 Done
% 20.21/20.64
% 20.21/20.64
% 20.21/20.64 Intermediate Status:
% 20.21/20.64 Generated: 78907
% 20.21/20.64 Kept: 17109
% 20.21/20.64 Inuse: 568
% 20.21/20.64 Deleted: 24
% 20.21/20.64 Deletedinuse: 10
% 20.21/20.64
% 20.21/20.64 Resimplifying inuse:
% 20.21/20.64 Done
% 20.21/20.64
% 20.21/20.64 Resimplifying inuse:
% 20.21/20.64 Done
% 20.21/20.64
% 20.21/20.64
% 20.21/20.64 Intermediate Status:
% 20.21/20.64 Generated: 92954
% 20.21/20.64 Kept: 19571
% 20.21/20.64 Inuse: 610
% 20.21/20.64 Deleted: 68
% 20.21/20.64 Deletedinuse: 12
% 20.21/20.64
% 20.21/20.64 Resimplifying inuse:
% 20.21/20.64 Done
% 20.21/20.64
% 20.21/20.64 Resimplifying inuse:
% 20.21/20.64 Done
% 20.21/20.64
% 20.21/20.64 Resimplifying clauses:
% 20.21/20.64 Done
% 20.21/20.64
% 20.21/20.64
% 20.21/20.64 Intermediate Status:
% 20.21/20.64 Generated: 107827
% 20.21/20.64 Kept: 21653
% 20.21/20.64 Inuse: 644
% 20.21/20.64 Deleted: 1099
% 20.21/20.64 Deletedinuse: 14
% 20.21/20.64
% 20.21/20.64 Resimplifying inuse:
% 20.21/20.64 Done
% 20.21/20.64
% 20.21/20.64 Resimplifying inuse:
% 20.21/20.64 Done
% 20.21/20.64
% 20.21/20.64
% 20.21/20.64 Intermediate Status:
% 20.21/20.64 Generated: 119320
% 20.21/20.64 Kept: 24042
% 20.21/20.64 Inuse: 664
% 20.21/20.64 Deleted: 1099
% 20.21/20.64 Deletedinuse: 14
% 20.21/20.64
% 20.21/20.64 Resimplifying inuse:
% 20.21/20.64 Done
% 20.21/20.64
% 20.21/20.64 Resimplifying inuse:
% 20.21/20.64 Done
% 20.21/20.64
% 20.21/20.64
% 20.21/20.64 Intermediate Status:
% 20.21/20.64 Generated: 130219
% 20.21/20.64 Kept: 26061
% 20.21/20.64 Inuse: 705
% 20.21/20.64 Deleted: 1107
% 20.21/20.64 Deletedinuse: 18
% 20.21/20.64
% 20.21/20.64 Resimplifying inuse:
% 20.21/20.64 Done
% 20.21/20.64
% 20.21/20.64 Resimplifying inuse:
% 20.21/20.64 Done
% 20.21/20.64
% 20.21/20.64
% 20.21/20.64 Intermediate Status:
% 20.21/20.64 Generated: 143515
% 20.21/20.64 Kept: 28126
% 20.21/20.64 Inuse: 768
% 20.21/20.64 Deleted: 1111
% 20.21/20.64 Deletedinuse: 20
% 20.21/20.64
% 20.21/20.64 Resimplifying inuse:
% 20.21/20.64 Done
% 20.21/20.64
% 20.21/20.64
% 20.21/20.64 Intermediate Status:
% 20.21/20.64 Generated: 156570
% 20.21/20.64 Kept: 30248
% 20.21/20.64 Inuse: 818
% 20.21/20.64 Deleted: 1111
% 20.21/20.64 Deletedinuse: 20
% 20.21/20.64
% 20.21/20.64 Resimplifying inuse:
% 20.21/20.64 Done
% 20.21/20.64
% 20.21/20.64
% 20.21/20.64 Intermediate Status:
% 20.21/20.64 Generated: 168715
% 20.21/20.64 Kept: 32746
% 20.21/20.64 Inuse: 843
% 20.21/20.64 Deleted: 1111
% 20.21/20.64 Deletedinuse: 20
% 20.21/20.64
% 20.21/20.64 Resimplifying inuse:
% 20.21/20.64 Done
% 20.21/20.64
% 20.21/20.64 Resimplifying inuse:
% 20.21/20.64 Done
% 20.21/20.64
% 20.21/20.64
% 20.21/20.64 Intermediate Status:
% 20.21/20.64 Generated: 185560
% 20.21/20.64 Kept: 35060
% 20.21/20.64 Inuse: 878
% 20.21/20.64 Deleted: 1117
% 20.21/20.64 Deletedinuse: 26
% 20.21/20.64
% 20.21/20.64 Resimplifying inuse:
% 20.21/20.64 Done
% 20.21/20.64
% 20.21/20.64
% 20.21/20.64 Intermediate Status:
% 20.21/20.64 Generated: 196537
% 20.21/20.64 Kept: 37064
% 20.21/20.64 Inuse: 888
% 20.21/20.64 Deleted: 1118
% 20.21/20.64 Deletedinuse: 27
% 20.21/20.64
% 20.21/20.64 Resimplifying inuse:
% 20.21/20.64 Done
% 20.21/20.64
% 20.21/20.64 Resimplifying inuse:
% 20.21/20.64 Done
% 20.21/20.64
% 20.21/20.64
% 20.21/20.64 Intermediate Status:
% 20.21/20.64 Generated: 207721
% 20.21/20.64 Kept: 39103
% 20.21/20.64 Inuse: 923
% 20.21/20.64 Deleted: 1120
% 20.21/20.64 Deletedinuse: 29
% 20.21/20.64
% 20.21/20.64 Resimplifying inuse:
% 20.21/20.64 Done
% 20.21/20.64
% 20.21/20.64 Resimplifying inuse:
% 20.21/20.64 Done
% 20.21/20.64
% 20.21/20.64 Resimplifying clauses:
% 20.21/20.64 Done
% 20.21/20.64
% 20.21/20.64
% 20.21/20.64 Intermediate Status:
% 20.21/20.64 Generated: 220929
% 20.21/20.64 Kept: 41282
% 20.21/20.64 Inuse: 961
% 20.21/20.64 Deleted: 1538
% 20.21/20.64 Deletedinuse: 33
% 20.21/20.64
% 20.21/20.64 Resimplifying inuse:
% 20.21/20.64 Done
% 20.21/20.64
% 20.21/20.64 Resimplifying inuse:
% 20.21/20.64 Done
% 20.21/20.64
% 20.21/20.64
% 20.21/20.64 Intermediate Status:
% 20.21/20.64 Generated: 230844
% 20.21/20.64 Kept: 43432
% 20.21/20.64 Inuse: 997
% 20.21/20.64 Deleted: 1538
% 20.21/20.64 Deletedinuse: 33
% 20.21/20.64
% 20.21/20.64 Resimplifying inuse:
% 20.21/20.64 Done
% 20.21/20.64
% 20.21/20.64 Resimplifying inuse:
% 20.21/20.64 Done
% 20.21/20.64
% 20.21/20.64
% 20.21/20.64 Intermediate Status:
% 20.21/20.64 Generated: 240369
% 20.21/20.64 Kept: 45440
% 20.21/20.64 Inuse: 1035
% 20.21/20.64 Deleted: 1538
% 20.21/20.64 Deletedinuse: 33
% 20.21/20.64
% 20.21/20.64 Resimplifying inuse:
% 20.21/20.64 Done
% 20.21/20.64
% 20.21/20.64 Resimplifying inuse:
% 20.21/20.64 Done
% 20.21/20.64
% 20.21/20.64
% 20.21/20.64 Intermediate Status:
% 20.21/20.64 Generated: 252785
% 20.21/20.64 Kept: 47484
% 20.21/20.64 Inuse: 1042
% 20.21/20.64 Deleted: 1538
% 20.21/20.64 Deletedinuse: 33
% 20.21/20.64
% 20.21/20.64 Resimplifying inuse:
% 20.21/20.64 Done
% 20.21/20.64
% 20.21/20.64
% 20.21/20.64 Intermediate Status:
% 20.21/20.64 Generated: 262691
% 20.21/20.64 Kept: 49618
% 20.21/20.64 Inuse: 1077
% 20.21/20.64 Deleted: 1538
% 20.21/20.64 Deletedinuse: 33
% 20.21/20.64
% 20.21/20.64 Resimplifying inuse:
% 20.21/20.64 Done
% 20.21/20.64
% 20.21/20.64 Resimplifying inuse:
% 20.21/20.64 Done
% 20.21/20.64
% 20.21/20.64
% 20.21/20.64 Intermediate Status:
% 20.21/20.64 Generated: 283402
% 20.21/20.64 Kept: 52703
% 20.21/20.64 Inuse: 1122
% 20.21/20.64 Deleted: 1539
% 20.21/20.64 Deletedinuse: 34
% 20.21/20.64
% 20.21/20.64 Resimplifying inuse:
% 20.21/20.64 Done
% 20.21/20.64
% 20.21/20.64 Resimplifying inuse:
% 20.21/20.64 Done
% 20.21/20.64
% 20.21/20.64
% 20.21/20.64 Intermediate Status:
% 20.21/20.64 Generated: 293551
% 20.21/20.64 Kept: 54725
% 20.21/20.64 Inuse: 1150
% 20.21/20.64 Deleted: 1545
% 64.58/64.94 Deletedinuse: 35
% 64.58/64.94
% 64.58/64.94 Resimplifying inuse:
% 64.58/64.94 Done
% 64.58/64.94
% 64.58/64.94 Resimplifying inuse:
% 64.58/64.94 Done
% 64.58/64.94
% 64.58/64.94
% 64.58/64.94 Intermediate Status:
% 64.58/64.94 Generated: 307841
% 64.58/64.94 Kept: 56893
% 64.58/64.94 Inuse: 1192
% 64.58/64.94 Deleted: 1548
% 64.58/64.94 Deletedinuse: 38
% 64.58/64.94
% 64.58/64.94 Resimplifying inuse:
% 64.58/64.94 Done
% 64.58/64.94
% 64.58/64.94 Resimplifying inuse:
% 64.58/64.94 Done
% 64.58/64.94
% 64.58/64.94
% 64.58/64.94 Intermediate Status:
% 64.58/64.94 Generated: 318497
% 64.58/64.94 Kept: 59041
% 64.58/64.94 Inuse: 1222
% 64.58/64.94 Deleted: 1552
% 64.58/64.94 Deletedinuse: 42
% 64.58/64.94
% 64.58/64.94 Resimplifying inuse:
% 64.58/64.94 Done
% 64.58/64.94
% 64.58/64.94 Resimplifying inuse:
% 64.58/64.94 Done
% 64.58/64.94
% 64.58/64.94 Resimplifying clauses:
% 64.58/64.94 Done
% 64.58/64.94
% 64.58/64.94
% 64.58/64.94 Intermediate Status:
% 64.58/64.94 Generated: 328422
% 64.58/64.94 Kept: 61112
% 64.58/64.94 Inuse: 1259
% 64.58/64.94 Deleted: 2282
% 64.58/64.94 Deletedinuse: 43
% 64.58/64.94
% 64.58/64.94 Resimplifying inuse:
% 64.58/64.94 Done
% 64.58/64.94
% 64.58/64.94 Resimplifying inuse:
% 64.58/64.94 Done
% 64.58/64.94
% 64.58/64.94
% 64.58/64.94 Intermediate Status:
% 64.58/64.94 Generated: 336519
% 64.58/64.94 Kept: 63168
% 64.58/64.94 Inuse: 1278
% 64.58/64.94 Deleted: 2282
% 64.58/64.94 Deletedinuse: 43
% 64.58/64.94
% 64.58/64.94 Resimplifying inuse:
% 64.58/64.94 Done
% 64.58/64.94
% 64.58/64.94 Resimplifying inuse:
% 64.58/64.94 Done
% 64.58/64.94
% 64.58/64.94
% 64.58/64.94 Intermediate Status:
% 64.58/64.94 Generated: 346142
% 64.58/64.94 Kept: 65354
% 64.58/64.94 Inuse: 1301
% 64.58/64.94 Deleted: 2282
% 64.58/64.94 Deletedinuse: 43
% 64.58/64.94
% 64.58/64.94 Resimplifying inuse:
% 64.58/64.94 Done
% 64.58/64.94
% 64.58/64.94 Resimplifying inuse:
% 64.58/64.94 Done
% 64.58/64.94
% 64.58/64.94
% 64.58/64.94 Intermediate Status:
% 64.58/64.94 Generated: 361868
% 64.58/64.94 Kept: 68441
% 64.58/64.94 Inuse: 1331
% 64.58/64.94 Deleted: 2283
% 64.58/64.94 Deletedinuse: 44
% 64.58/64.94
% 64.58/64.94 Resimplifying inuse:
% 64.58/64.94 Done
% 64.58/64.94
% 64.58/64.94 Resimplifying inuse:
% 64.58/64.94 Done
% 64.58/64.94
% 64.58/64.94
% 64.58/64.94 Intermediate Status:
% 64.58/64.94 Generated: 379963
% 64.58/64.94 Kept: 70537
% 64.58/64.94 Inuse: 1373
% 64.58/64.94 Deleted: 2290
% 64.58/64.94 Deletedinuse: 48
% 64.58/64.94
% 64.58/64.94 Resimplifying inuse:
% 64.58/64.94 Done
% 64.58/64.94
% 64.58/64.94 Resimplifying inuse:
% 64.58/64.94 Done
% 64.58/64.94
% 64.58/64.94
% 64.58/64.94 Intermediate Status:
% 64.58/64.94 Generated: 389258
% 64.58/64.94 Kept: 72546
% 64.58/64.94 Inuse: 1409
% 64.58/64.94 Deleted: 2291
% 64.58/64.94 Deletedinuse: 49
% 64.58/64.94
% 64.58/64.94 Resimplifying inuse:
% 64.58/64.94 Done
% 64.58/64.94
% 64.58/64.94 Resimplifying inuse:
% 64.58/64.94 Done
% 64.58/64.94
% 64.58/64.94
% 64.58/64.94 Intermediate Status:
% 64.58/64.94 Generated: 415521
% 64.58/64.94 Kept: 76888
% 64.58/64.94 Inuse: 1433
% 64.58/64.94 Deleted: 2292
% 64.58/64.94 Deletedinuse: 50
% 64.58/64.94
% 64.58/64.94 Resimplifying inuse:
% 64.58/64.94 Done
% 64.58/64.94
% 64.58/64.94 Resimplifying inuse:
% 64.58/64.94 Done
% 64.58/64.94
% 64.58/64.94
% 64.58/64.94 Intermediate Status:
% 64.58/64.94 Generated: 424964
% 64.58/64.94 Kept: 78974
% 64.58/64.94 Inuse: 1458
% 64.58/64.94 Deleted: 2292
% 64.58/64.94 Deletedinuse: 50
% 64.58/64.94
% 64.58/64.94 Resimplifying inuse:
% 64.58/64.94 Done
% 64.58/64.94
% 64.58/64.94 Resimplifying inuse:
% 64.58/64.94 Done
% 64.58/64.94
% 64.58/64.94 Resimplifying clauses:
% 64.58/64.94 Done
% 64.58/64.94
% 64.58/64.94
% 64.58/64.94 Intermediate Status:
% 64.58/64.94 Generated: 448943
% 64.58/64.94 Kept: 81176
% 64.58/64.94 Inuse: 1476
% 64.58/64.94 Deleted: 2652
% 64.58/64.94 Deletedinuse: 51
% 64.58/64.94
% 64.58/64.94 Resimplifying inuse:
% 64.58/64.94 Done
% 64.58/64.94
% 64.58/64.94 Resimplifying inuse:
% 64.58/64.94 Done
% 64.58/64.94
% 64.58/64.94
% 64.58/64.94 Intermediate Status:
% 64.58/64.94 Generated: 463140
% 64.58/64.94 Kept: 83931
% 64.58/64.94 Inuse: 1493
% 64.58/64.94 Deleted: 2652
% 64.58/64.94 Deletedinuse: 51
% 64.58/64.94
% 64.58/64.94 Resimplifying inuse:
% 64.58/64.94 Done
% 64.58/64.94
% 64.58/64.94 Resimplifying inuse:
% 64.58/64.94 Done
% 64.58/64.94
% 64.58/64.94
% 64.58/64.94 Intermediate Status:
% 64.58/64.94 Generated: 481549
% 64.58/64.94 Kept: 86057
% 64.58/64.94 Inuse: 1532
% 64.58/64.94 Deleted: 2652
% 64.58/64.94 Deletedinuse: 51
% 64.58/64.94
% 64.58/64.94 Resimplifying inuse:
% 64.58/64.94 Done
% 64.58/64.94
% 64.58/64.94 Resimplifying inuse:
% 64.58/64.94 Done
% 64.58/64.94
% 64.58/64.94
% 64.58/64.94 Intermediate Status:
% 64.58/64.94 Generated: 493616
% 64.58/64.94 Kept: 88227
% 64.58/64.94 Inuse: 1568
% 64.58/64.94 Deleted: 2652
% 64.58/64.94 Deletedinuse: 51
% 64.58/64.94
% 64.58/64.94 Resimplifying inuse:
% 64.58/64.94 Done
% 64.58/64.94
% 64.58/64.94
% 64.58/64.94 Intermediate Status:
% 64.58/64.94 Generated: 512516
% 64.58/64.94 Kept: 92199
% 64.58/64.94 Inuse: 1583
% 64.58/64.94 Deleted: 2652
% 64.58/64.94 Deletedinuse: 51
% 64.58/64.94
% 64.58/64.94 Resimplifying inuse:
% 64.58/64.94 Done
% 64.58/64.94
% 64.58/64.94 Resimplifying inuse:
% 64.58/64.94 Done
% 64.58/64.94
% 64.58/64.94
% 64.58/64.94 Intermediate Status:
% 64.58/64.94 Generated: 522358
% 64.58/64.94 Kept: 94287
% 64.58/64.94 Inuse: 1612
% 64.58/64.94 Deleted: 2657
% 64.58/64.94 Deletedinuse: 53
% 64.58/64.94
% 64.58/64.94 Resimplifying inuse:
% 64.58/64.94 Done
% 64.58/64.94
% 64.58/64.94 Resimplifying inuse:
% 64.58/64.94 Done
% 64.58/64.94
% 64.58/64.94
% 64.58/64.94 Intermediate Status:
% 64.58/64.94 Generated: 538838
% 64.58/64.94 Kept: 96486
% 64.58/64.94 Inuse: 1660
% 64.58/64.94 Deleted: 2658
% 64.58/64.94 Deletedinuse: 54
% 64.58/64.94
% 64.58/64.94 Resimplifying inuse:
% 64.58/64.94 Done
% 64.58/64.94
% 64.58/64.94
% 64.58/64.94 Intermediate Status:
% 64.58/64.94 Generated: 548869
% 64.58/64.94 Kept: 98753
% 64.58/64.94 Inuse: 1670
% 64.58/64.94 Deleted: 2661
% 64.58/64.94 Deletedinuse: 57
% 64.58/64.94
% 64.58/64.94 Resimplifying inuse:
% 64.58/64.94 Done
% 64.58/64.94
% 64.58/64.94 Resimplifying inuse:
% 64.58/64.94 Done
% 64.58/64.94
% 64.58/64.94
% 64.58/64.94 Intermediate Status:
% 64.58/64.94 Generated: 557370
% 64.58/64.94 Kept: 100756
% 64.58/64.94 Inuse: 1694
% 64.58/64.94 Deleted: 2661
% 64.58/64.94 Deletedinuse: 57
% 64.58/64.94
% 64.58/64.94 Resimplifying inuse:
% 64.58/64.94 Done
% 64.58/64.94
% 64.58/64.94 Resimplifying clauses:
% 64.58/64.94 Done
% 64.58/64.94
% 64.58/64.94 Resimplifying inuse:
% 64.58/64.94 Done
% 64.58/64.94
% 64.58/64.94
% 64.58/64.94 Intermediate Status:
% 64.58/64.94 Generated: 577056
% 64.58/64.94 Kept: 104533
% 64.58/64.94 Inuse: 1730
% 64.58/64.94 Deleted: 3314
% 64.58/64.94 Deletedinuse: 57
% 64.58/64.94
% 64.58/64.94 Resimplifying inuse:
% 64.58/64.94 Done
% 64.58/64.94
% 64.58/64.94 Resimplifying inuse:
% 64.58/64.94 Done
% 64.58/64.94
% 64.58/64.94
% 64.58/64.94 Intermediate Status:
% 64.58/64.94 Generated: 587953
% 64.58/64.94 Kept: 106618
% 64.58/64.94 Inuse: 1760
% 64.58/64.94 Deleted: 3314
% 64.58/64.94 Deletedinuse: 57
% 64.58/64.94
% 64.58/64.94 Resimplifying inuse:
% 64.58/64.94 Done
% 64.58/64.94
% 64.58/64.94 Resimplifying inuse:
% 64.58/64.94 Done
% 64.58/64.94
% 64.58/64.94
% 64.58/64.94 Intermediate Status:
% 64.58/64.94 Generated: 624374
% 64.58/64.94 Kept: 110142
% 64.58/64.94 Inuse: 1775
% 64.58/64.94 Deleted: 3314
% 64.58/64.94 Deletedinuse: 57
% 64.58/64.94
% 64.58/64.94 Resimplifying inuse:
% 64.58/64.94 Done
% 64.58/64.94
% 64.58/64.94 Resimplifying inuse:
% 64.58/64.94 Done
% 64.58/64.94
% 64.58/64.94
% 64.58/64.94 Intermediate Status:
% 64.58/64.94 Generated: 640460
% 64.58/64.94 Kept: 112174
% 64.58/64.94 Inuse: 1820
% 64.58/64.94 Deleted: 3316
% 64.58/64.94 Deletedinuse: 58
% 64.58/64.94
% 64.58/64.94 Resimplifying inuse:
% 64.58/64.94 Done
% 64.58/64.94
% 64.58/64.94 Resimplifying inuse:
% 64.58/64.94 Done
% 135.69/136.07
% 135.69/136.07
% 135.69/136.07 Intermediate Status:
% 135.69/136.07 Generated: 660095
% 135.69/136.07 Kept: 115582
% 135.69/136.07 Inuse: 1849
% 135.69/136.07 Deleted: 3316
% 135.69/136.07 Deletedinuse: 58
% 135.69/136.07
% 135.69/136.07 Resimplifying inuse:
% 135.69/136.07 Done
% 135.69/136.07
% 135.69/136.07 Resimplifying inuse:
% 135.69/136.07 Done
% 135.69/136.07
% 135.69/136.07
% 135.69/136.07 Intermediate Status:
% 135.69/136.07 Generated: 672007
% 135.69/136.07 Kept: 117918
% 135.69/136.07 Inuse: 1879
% 135.69/136.07 Deleted: 3316
% 135.69/136.07 Deletedinuse: 58
% 135.69/136.07
% 135.69/136.07 Resimplifying inuse:
% 135.69/136.07 Done
% 135.69/136.07
% 135.69/136.07 Resimplifying inuse:
% 135.69/136.07 Done
% 135.69/136.07
% 135.69/136.07
% 135.69/136.07 Intermediate Status:
% 135.69/136.07 Generated: 681108
% 135.69/136.07 Kept: 119977
% 135.69/136.07 Inuse: 1899
% 135.69/136.07 Deleted: 3319
% 135.69/136.07 Deletedinuse: 61
% 135.69/136.07
% 135.69/136.07 Resimplifying inuse:
% 135.69/136.07 Done
% 135.69/136.07
% 135.69/136.07 Resimplifying inuse:
% 135.69/136.07 Done
% 135.69/136.07
% 135.69/136.07 Resimplifying clauses:
% 135.69/136.07 Done
% 135.69/136.07
% 135.69/136.07
% 135.69/136.07 Intermediate Status:
% 135.69/136.07 Generated: 692008
% 135.69/136.07 Kept: 122263
% 135.69/136.07 Inuse: 1919
% 135.69/136.07 Deleted: 3655
% 135.69/136.07 Deletedinuse: 61
% 135.69/136.07
% 135.69/136.07 Resimplifying inuse:
% 135.69/136.07 Done
% 135.69/136.07
% 135.69/136.07 Resimplifying inuse:
% 135.69/136.07 Done
% 135.69/136.07
% 135.69/136.07
% 135.69/136.07 Intermediate Status:
% 135.69/136.07 Generated: 717990
% 135.69/136.07 Kept: 127511
% 135.69/136.07 Inuse: 1939
% 135.69/136.07 Deleted: 3655
% 135.69/136.07 Deletedinuse: 61
% 135.69/136.07
% 135.69/136.07 Resimplifying inuse:
% 135.69/136.07 Done
% 135.69/136.07
% 135.69/136.07 Resimplifying inuse:
% 135.69/136.07 Done
% 135.69/136.07
% 135.69/136.07
% 135.69/136.07 Intermediate Status:
% 135.69/136.07 Generated: 744907
% 135.69/136.07 Kept: 130776
% 135.69/136.07 Inuse: 1954
% 135.69/136.07 Deleted: 3655
% 135.69/136.07 Deletedinuse: 61
% 135.69/136.07
% 135.69/136.07 Resimplifying inuse:
% 135.69/136.07 Done
% 135.69/136.07
% 135.69/136.07 Resimplifying inuse:
% 135.69/136.07 Done
% 135.69/136.07
% 135.69/136.07
% 135.69/136.07 Intermediate Status:
% 135.69/136.07 Generated: 755042
% 135.69/136.07 Kept: 132778
% 135.69/136.07 Inuse: 1980
% 135.69/136.07 Deleted: 3655
% 135.69/136.07 Deletedinuse: 61
% 135.69/136.07
% 135.69/136.07 Resimplifying inuse:
% 135.69/136.07 Done
% 135.69/136.07
% 135.69/136.07 Resimplifying inuse:
% 135.69/136.07 Done
% 135.69/136.07
% 135.69/136.07
% 135.69/136.07 Intermediate Status:
% 135.69/136.07 Generated: 764832
% 135.69/136.07 Kept: 135219
% 135.69/136.07 Inuse: 2004
% 135.69/136.07 Deleted: 3661
% 135.69/136.07 Deletedinuse: 67
% 135.69/136.07
% 135.69/136.07 Resimplifying inuse:
% 135.69/136.07 Done
% 135.69/136.07
% 135.69/136.07 Resimplifying inuse:
% 135.69/136.07 Done
% 135.69/136.07
% 135.69/136.07
% 135.69/136.07 Intermediate Status:
% 135.69/136.07 Generated: 772403
% 135.69/136.07 Kept: 137258
% 135.69/136.07 Inuse: 2021
% 135.69/136.07 Deleted: 3665
% 135.69/136.07 Deletedinuse: 70
% 135.69/136.07
% 135.69/136.07
% 135.69/136.07 Intermediate Status:
% 135.69/136.07 Generated: 794440
% 135.69/136.07 Kept: 139696
% 135.69/136.07 Inuse: 2028
% 135.69/136.07 Deleted: 3665
% 135.69/136.07 Deletedinuse: 70
% 135.69/136.07
% 135.69/136.07 Resimplifying inuse:
% 135.69/136.07 Done
% 135.69/136.07
% 135.69/136.07
% 135.69/136.07 Intermediate Status:
% 135.69/136.07 Generated: 815878
% 135.69/136.07 Kept: 144008
% 135.69/136.07 Inuse: 2038
% 135.69/136.07 Deleted: 3666
% 135.69/136.07 Deletedinuse: 71
% 135.69/136.07
% 135.69/136.07 Resimplifying inuse:
% 135.69/136.07 Done
% 135.69/136.07
% 135.69/136.07 Resimplifying clauses:
% 135.69/136.07 Done
% 135.69/136.07
% 135.69/136.07
% 135.69/136.07 Intermediate Status:
% 135.69/136.07 Generated: 839027
% 135.69/136.07 Kept: 148507
% 135.69/136.07 Inuse: 2048
% 135.69/136.07 Deleted: 4237
% 135.69/136.07 Deletedinuse: 72
% 135.69/136.07
% 135.69/136.07 Resimplifying inuse:
% 135.69/136.07 Done
% 135.69/136.07
% 135.69/136.07 Resimplifying inuse:
% 135.69/136.07 Done
% 135.69/136.07
% 135.69/136.07
% 135.69/136.07 Intermediate Status:
% 135.69/136.07 Generated: 846228
% 135.69/136.07 Kept: 150637
% 135.69/136.07 Inuse: 2068
% 135.69/136.07 Deleted: 4240
% 135.69/136.07 Deletedinuse: 75
% 135.69/136.07
% 135.69/136.07 Resimplifying inuse:
% 135.69/136.07 Done
% 135.69/136.07
% 135.69/136.07 Resimplifying inuse:
% 135.69/136.07 Done
% 135.69/136.07
% 135.69/136.07
% 135.69/136.07 Intermediate Status:
% 135.69/136.07 Generated: 855583
% 135.69/136.07 Kept: 152966
% 135.69/136.07 Inuse: 2088
% 135.69/136.07 Deleted: 4240
% 135.69/136.07 Deletedinuse: 75
% 135.69/136.07
% 135.69/136.07 Resimplifying inuse:
% 135.69/136.07 Done
% 135.69/136.07
% 135.69/136.07
% 135.69/136.07 Intermediate Status:
% 135.69/136.07 Generated: 896173
% 135.69/136.07 Kept: 158084
% 135.69/136.07 Inuse: 2103
% 135.69/136.07 Deleted: 4242
% 135.69/136.07 Deletedinuse: 77
% 135.69/136.07
% 135.69/136.07 Resimplifying inuse:
% 135.69/136.07 Done
% 135.69/136.07
% 135.69/136.07 Resimplifying inuse:
% 135.69/136.07 Done
% 135.69/136.07
% 135.69/136.07
% 135.69/136.07 Intermediate Status:
% 135.69/136.07 Generated: 905328
% 135.69/136.07 Kept: 160115
% 135.69/136.07 Inuse: 2118
% 135.69/136.07 Deleted: 4242
% 135.69/136.07 Deletedinuse: 77
% 135.69/136.07
% 135.69/136.07 Resimplifying inuse:
% 135.69/136.07 Done
% 135.69/136.07
% 135.69/136.07 Resimplifying inuse:
% 135.69/136.07 Done
% 135.69/136.07
% 135.69/136.07
% 135.69/136.07 Intermediate Status:
% 135.69/136.07 Generated: 914901
% 135.69/136.07 Kept: 162186
% 135.69/136.07 Inuse: 2138
% 135.69/136.07 Deleted: 4242
% 135.69/136.07 Deletedinuse: 77
% 135.69/136.07
% 135.69/136.07 Resimplifying inuse:
% 135.69/136.07 Done
% 135.69/136.07
% 135.69/136.07
% 135.69/136.07 Intermediate Status:
% 135.69/136.07 Generated: 923535
% 135.69/136.07 Kept: 164223
% 135.69/136.07 Inuse: 2158
% 135.69/136.07 Deleted: 4242
% 135.69/136.07 Deletedinuse: 77
% 135.69/136.07
% 135.69/136.07 Resimplifying inuse:
% 135.69/136.07 Done
% 135.69/136.07
% 135.69/136.07 Resimplifying clauses:
% 135.69/136.07 Done
% 135.69/136.07
% 135.69/136.07 Resimplifying inuse:
% 135.69/136.07 Done
% 135.69/136.07
% 135.69/136.07
% 135.69/136.07 Intermediate Status:
% 135.69/136.07 Generated: 930882
% 135.69/136.07 Kept: 166239
% 135.69/136.07 Inuse: 2178
% 135.69/136.07 Deleted: 4768
% 135.69/136.07 Deletedinuse: 79
% 135.69/136.07
% 135.69/136.07 Resimplifying inuse:
% 135.69/136.07 Done
% 135.69/136.07
% 135.69/136.07
% 135.69/136.07 Intermediate Status:
% 135.69/136.07 Generated: 960077
% 135.69/136.07 Kept: 169328
% 135.69/136.07 Inuse: 2188
% 135.69/136.07 Deleted: 4769
% 135.69/136.07 Deletedinuse: 80
% 135.69/136.07
% 135.69/136.07 Resimplifying inuse:
% 135.69/136.07 Done
% 135.69/136.07
% 135.69/136.07 Resimplifying inuse:
% 135.69/136.07 Done
% 135.69/136.07
% 135.69/136.07
% 135.69/136.07 Intermediate Status:
% 135.69/136.07 Generated: 986140
% 135.69/136.07 Kept: 173007
% 135.69/136.07 Inuse: 2208
% 135.69/136.07 Deleted: 4769
% 135.69/136.07 Deletedinuse: 80
% 135.69/136.07
% 135.69/136.07 Resimplifying inuse:
% 135.69/136.07 Done
% 135.69/136.07
% 135.69/136.07
% 135.69/136.07 Intermediate Status:
% 135.69/136.07 Generated: 1006832
% 135.69/136.07 Kept: 175131
% 135.69/136.07 Inuse: 2212
% 135.69/136.07 Deleted: 4771
% 135.69/136.07 Deletedinuse: 81
% 135.69/136.07
% 135.69/136.07 Resimplifying inuse:
% 135.69/136.07 Done
% 135.69/136.07
% 135.69/136.07 Resimplifying inuse:
% 135.69/136.07 Done
% 135.69/136.07
% 135.69/136.07
% 135.69/136.07 Intermediate Status:
% 135.69/136.07 Generated: 1074303
% 135.69/136.07 Kept: 177139
% 135.69/136.07 Inuse: 2247
% 135.69/136.07 Deleted: 4772
% 135.69/136.07 Deletedinuse: 81
% 135.69/136.07
% 135.69/136.07 Resimplifying inuse:
% 135.69/136.07 Done
% 135.69/136.07
% 135.69/136.07 Resimplifying inuse:
% 135.69/136.07 Done
% 135.69/136.07
% 135.69/136.07
% 135.69/136.07 Intermediate Status:
% 135.69/136.07 Generated: 1236078
% 135.69/136.07 Kept: 179156
% 135.69/136.07 Inuse: 2387
% 135.69/136.07 Deleted: 4780
% 135.69/136.07 Deletedinuse: 83
% 135.69/136.07
% 135.69/136.07 Resimplifying inuse:
% 135.69/136.07 Done
% 135.69/136.07
% 135.69/136.07 Resimplifying inuse:
% 135.69/136.07 Done
% 135.69/136.07
% 135.69/136.07
% 135.69/136.07 Intermediate Status:
% 135.69/136.07 Generated: 1335462
% 267.36/267.82 Kept: 181442
% 267.36/267.82 Inuse: 2473
% 267.36/267.82 Deleted: 4780
% 267.36/267.82 Deletedinuse: 83
% 267.36/267.82
% 267.36/267.82 Resimplifying inuse:
% 267.36/267.82 Done
% 267.36/267.82
% 267.36/267.82
% 267.36/267.82 Intermediate Status:
% 267.36/267.82 Generated: 1384822
% 267.36/267.82 Kept: 183445
% 267.36/267.82 Inuse: 2523
% 267.36/267.82 Deleted: 4780
% 267.36/267.82 Deletedinuse: 83
% 267.36/267.82
% 267.36/267.82 Resimplifying inuse:
% 267.36/267.82 Done
% 267.36/267.82
% 267.36/267.82 Resimplifying clauses:
% 267.36/267.82 Done
% 267.36/267.82
% 267.36/267.82 Resimplifying inuse:
% 267.36/267.82 Done
% 267.36/267.82
% 267.36/267.82
% 267.36/267.82 Intermediate Status:
% 267.36/267.82 Generated: 1401235
% 267.36/267.82 Kept: 185461
% 267.36/267.82 Inuse: 2544
% 267.36/267.82 Deleted: 5470
% 267.36/267.82 Deletedinuse: 84
% 267.36/267.82
% 267.36/267.82 Resimplifying inuse:
% 267.36/267.82 Done
% 267.36/267.82
% 267.36/267.82 Resimplifying inuse:
% 267.36/267.82 Done
% 267.36/267.82
% 267.36/267.82
% 267.36/267.82 Intermediate Status:
% 267.36/267.82 Generated: 1427262
% 267.36/267.82 Kept: 187483
% 267.36/267.82 Inuse: 2573
% 267.36/267.82 Deleted: 5470
% 267.36/267.82 Deletedinuse: 84
% 267.36/267.82
% 267.36/267.82 Resimplifying inuse:
% 267.36/267.82 Done
% 267.36/267.82
% 267.36/267.82 Resimplifying inuse:
% 267.36/267.82 Done
% 267.36/267.82
% 267.36/267.82
% 267.36/267.82 Intermediate Status:
% 267.36/267.82 Generated: 1502246
% 267.36/267.82 Kept: 189486
% 267.36/267.82 Inuse: 2633
% 267.36/267.82 Deleted: 5470
% 267.36/267.82 Deletedinuse: 84
% 267.36/267.82
% 267.36/267.82 Resimplifying inuse:
% 267.36/267.82 Done
% 267.36/267.82
% 267.36/267.82 Resimplifying inuse:
% 267.36/267.82 Done
% 267.36/267.82
% 267.36/267.82
% 267.36/267.82 Intermediate Status:
% 267.36/267.82 Generated: 1537171
% 267.36/267.82 Kept: 192060
% 267.36/267.82 Inuse: 2678
% 267.36/267.82 Deleted: 5507
% 267.36/267.82 Deletedinuse: 121
% 267.36/267.82
% 267.36/267.82 Resimplifying inuse:
% 267.36/267.82 Done
% 267.36/267.82
% 267.36/267.82
% 267.36/267.82 Intermediate Status:
% 267.36/267.82 Generated: 1550817
% 267.36/267.82 Kept: 194076
% 267.36/267.82 Inuse: 2691
% 267.36/267.82 Deleted: 5527
% 267.36/267.82 Deletedinuse: 140
% 267.36/267.82
% 267.36/267.82 Resimplifying inuse:
% 267.36/267.82 Done
% 267.36/267.82
% 267.36/267.82 Resimplifying inuse:
% 267.36/267.82 Done
% 267.36/267.82
% 267.36/267.82
% 267.36/267.82 Intermediate Status:
% 267.36/267.82 Generated: 1568603
% 267.36/267.82 Kept: 196322
% 267.36/267.82 Inuse: 2711
% 267.36/267.82 Deleted: 5530
% 267.36/267.82 Deletedinuse: 143
% 267.36/267.82
% 267.36/267.82 Resimplifying inuse:
% 267.36/267.82 Done
% 267.36/267.82
% 267.36/267.82 Resimplifying inuse:
% 267.36/267.82 Done
% 267.36/267.82
% 267.36/267.82
% 267.36/267.82 Intermediate Status:
% 267.36/267.82 Generated: 1586694
% 267.36/267.82 Kept: 198758
% 267.36/267.82 Inuse: 2728
% 267.36/267.82 Deleted: 5530
% 267.36/267.82 Deletedinuse: 143
% 267.36/267.82
% 267.36/267.82 Resimplifying inuse:
% 267.36/267.82 Done
% 267.36/267.82
% 267.36/267.82 Resimplifying inuse:
% 267.36/267.82 Done
% 267.36/267.82
% 267.36/267.82
% 267.36/267.82 Intermediate Status:
% 267.36/267.82 Generated: 1621548
% 267.36/267.82 Kept: 200785
% 267.36/267.82 Inuse: 2741
% 267.36/267.82 Deleted: 5530
% 267.36/267.82 Deletedinuse: 143
% 267.36/267.82
% 267.36/267.82 Resimplifying inuse:
% 267.36/267.82 Done
% 267.36/267.82
% 267.36/267.82 Resimplifying inuse:
% 267.36/267.82 Done
% 267.36/267.82
% 267.36/267.82
% 267.36/267.82 Intermediate Status:
% 267.36/267.82 Generated: 1630834
% 267.36/267.82 Kept: 202830
% 267.36/267.82 Inuse: 2754
% 267.36/267.82 Deleted: 5531
% 267.36/267.82 Deletedinuse: 143
% 267.36/267.82
% 267.36/267.82 Resimplifying inuse:
% 267.36/267.82 Done
% 267.36/267.82
% 267.36/267.82 Resimplifying inuse:
% 267.36/267.82 Done
% 267.36/267.82
% 267.36/267.82 Resimplifying clauses:
% 267.36/267.82 Done
% 267.36/267.82
% 267.36/267.82
% 267.36/267.82 Intermediate Status:
% 267.36/267.82 Generated: 1655464
% 267.36/267.82 Kept: 204940
% 267.36/267.82 Inuse: 2795
% 267.36/267.82 Deleted: 8543
% 267.36/267.82 Deletedinuse: 143
% 267.36/267.82
% 267.36/267.82 Resimplifying inuse:
% 267.36/267.82 Done
% 267.36/267.82
% 267.36/267.82
% 267.36/267.82 Intermediate Status:
% 267.36/267.82 Generated: 1674562
% 267.36/267.82 Kept: 206964
% 267.36/267.82 Inuse: 2819
% 267.36/267.82 Deleted: 8543
% 267.36/267.82 Deletedinuse: 143
% 267.36/267.82
% 267.36/267.82 Resimplifying inuse:
% 267.36/267.82 Done
% 267.36/267.82
% 267.36/267.82 Resimplifying inuse:
% 267.36/267.82 Done
% 267.36/267.82
% 267.36/267.82
% 267.36/267.82 Intermediate Status:
% 267.36/267.82 Generated: 1689099
% 267.36/267.82 Kept: 209018
% 267.36/267.82 Inuse: 2833
% 267.36/267.82 Deleted: 8545
% 267.36/267.82 Deletedinuse: 145
% 267.36/267.82
% 267.36/267.82 Resimplifying inuse:
% 267.36/267.82 Done
% 267.36/267.82
% 267.36/267.82 Resimplifying inuse:
% 267.36/267.82 Done
% 267.36/267.82
% 267.36/267.82
% 267.36/267.82 Intermediate Status:
% 267.36/267.82 Generated: 1703765
% 267.36/267.82 Kept: 211180
% 267.36/267.82 Inuse: 2851
% 267.36/267.82 Deleted: 8555
% 267.36/267.82 Deletedinuse: 155
% 267.36/267.82
% 267.36/267.82 Resimplifying inuse:
% 267.36/267.82 Done
% 267.36/267.82
% 267.36/267.82 Resimplifying inuse:
% 267.36/267.82 Done
% 267.36/267.82
% 267.36/267.82
% 267.36/267.82 Intermediate Status:
% 267.36/267.82 Generated: 1729605
% 267.36/267.82 Kept: 213189
% 267.36/267.82 Inuse: 2894
% 267.36/267.82 Deleted: 8555
% 267.36/267.82 Deletedinuse: 155
% 267.36/267.82
% 267.36/267.82 Resimplifying inuse:
% 267.36/267.82 Done
% 267.36/267.82
% 267.36/267.82 Resimplifying inuse:
% 267.36/267.82 Done
% 267.36/267.82
% 267.36/267.82
% 267.36/267.82 Intermediate Status:
% 267.36/267.82 Generated: 1862300
% 267.36/267.82 Kept: 215300
% 267.36/267.82 Inuse: 2947
% 267.36/267.82 Deleted: 8556
% 267.36/267.82 Deletedinuse: 155
% 267.36/267.82
% 267.36/267.82 Resimplifying inuse:
% 267.36/267.82 Done
% 267.36/267.82
% 267.36/267.82 Resimplifying inuse:
% 267.36/267.82 Done
% 267.36/267.82
% 267.36/267.82
% 267.36/267.82 Intermediate Status:
% 267.36/267.82 Generated: 1901787
% 267.36/267.82 Kept: 217314
% 267.36/267.82 Inuse: 2990
% 267.36/267.82 Deleted: 8556
% 267.36/267.82 Deletedinuse: 155
% 267.36/267.82
% 267.36/267.82 Resimplifying inuse:
% 267.36/267.82 Done
% 267.36/267.82
% 267.36/267.82 Resimplifying inuse:
% 267.36/267.82 Done
% 267.36/267.82
% 267.36/267.82
% 267.36/267.82 Intermediate Status:
% 267.36/267.82 Generated: 1939871
% 267.36/267.82 Kept: 219358
% 267.36/267.82 Inuse: 3028
% 267.36/267.82 Deleted: 8558
% 267.36/267.82 Deletedinuse: 156
% 267.36/267.82
% 267.36/267.82 Resimplifying inuse:
% 267.36/267.82 Done
% 267.36/267.82
% 267.36/267.82 Resimplifying inuse:
% 267.36/267.82 Done
% 267.36/267.82
% 267.36/267.82
% 267.36/267.82 Intermediate Status:
% 267.36/267.82 Generated: 2115075
% 267.36/267.82 Kept: 221358
% 267.36/267.82 Inuse: 3163
% 267.36/267.82 Deleted: 8558
% 267.36/267.82 Deletedinuse: 156
% 267.36/267.82
% 267.36/267.82 Resimplifying inuse:
% 267.36/267.82 Done
% 267.36/267.82
% 267.36/267.82
% 267.36/267.82 Intermediate Status:
% 267.36/267.82 Generated: 2211303
% 267.36/267.82 Kept: 223363
% 267.36/267.82 Inuse: 3237
% 267.36/267.82 Deleted: 8558
% 267.36/267.82 Deletedinuse: 156
% 267.36/267.82
% 267.36/267.82 Resimplifying inuse:
% 267.36/267.82 Done
% 267.36/267.82
% 267.36/267.82 Resimplifying clauses:
% 267.36/267.82 Done
% 267.36/267.82
% 267.36/267.82
% 267.36/267.82 Intermediate Status:
% 267.36/267.82 Generated: 2246446
% 267.36/267.82 Kept: 225369
% 267.36/267.82 Inuse: 3246
% 267.36/267.82 Deleted: 11707
% 267.36/267.82 Deletedinuse: 156
% 267.36/267.82
% 267.36/267.82 Resimplifying inuse:
% 267.36/267.82 Done
% 267.36/267.82
% 267.36/267.82
% 267.36/267.82 Intermediate Status:
% 267.36/267.82 Generated: 2336675
% 267.36/267.82 Kept: 227375
% 267.36/267.82 Inuse: 3323
% 267.36/267.82 Deleted: 11707
% 267.36/267.82 Deletedinuse: 156
% 267.36/267.82
% 267.36/267.82 Resimplifying inuse:
% 267.36/267.82 Done
% 267.36/267.82
% 267.36/267.82 Resimplifying inuse:
% 267.36/267.82 Done
% 267.36/267.82
% 267.36/267.82
% 267.36/267.82 Intermediate Status:
% 267.36/267.82 Generated: 2386677
% 267.36/267.82 Kept: 229405
% 267.36/267.82 Inuse: 3392
% 267.36/267.82 Deleted: 11707
% 267.36/267.82 Deletedinuse: 156
% 267.36/267.82
% 267.36/267.82 Resimplifying inuse:
% 267.36/267.82 Done
% 267.36/267.82
% 267.36/267.82 Resimplifying inusCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------