TSTP Solution File: SCT051-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SCT051-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n028.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 21:00:50 EDT 2022
% Result : Timeout 295.75s 296.19s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SCT051-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : bliksem %s
% 0.11/0.33 % Computer : n028.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % DateTime : Sat Jul 2 06:20:01 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.92/1.33 *** allocated 10000 integers for termspace/termends
% 0.92/1.33 *** allocated 10000 integers for clauses
% 0.92/1.33 *** allocated 10000 integers for justifications
% 0.92/1.33 *** allocated 15000 integers for termspace/termends
% 0.92/1.33 *** allocated 22500 integers for termspace/termends
% 0.92/1.33 Bliksem 1.12
% 0.92/1.33
% 0.92/1.33
% 0.92/1.33 Automatic Strategy Selection
% 0.92/1.33
% 0.92/1.33 Clauses:
% 0.92/1.33 [
% 0.92/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.92/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.92/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.92/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.92/1.33 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.92/1.33 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.92/1.33 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.33 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.92/1.33 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.92/1.33 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.92/1.33 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X, Y, Z
% 0.92/1.33 , T ), 'c_Set_Oimage'( X, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.92/1.33 'c_Set_Oimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, U, 'tc_fun'( Z,
% 0.92/1.33 'tc_bool' ) ), Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ],
% 0.92/1.33 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.92/1.33 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.92/1.33 , T, X ) ) ), =( Z, T ) ],
% 0.92/1.33 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.92/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.92/1.33 , T, X ) ) ), =( Y, Z ) ],
% 0.92/1.33 [ 'c_lessequals'( 'c_Relation_OImage'( X, Y, Z, T ), U, 'tc_fun'( T,
% 0.92/1.33 'tc_bool' ) ), ~( 'c_lessequals'( X, 'c_Product__Type_OSigma'( W,
% 0.92/1.33 'c_COMBK'( U, 'tc_fun'( T, 'tc_bool' ), Z ), Z, T ), 'tc_fun'( 'tc_prod'(
% 0.92/1.33 Z, T ), 'tc_bool' ) ) ) ],
% 0.92/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.92/1.33 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.92/1.33 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.33 [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 0.92/1.33 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ),
% 0.92/1.33 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 0.92/1.33 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.92/1.33 'c_List_Osko__Recdef__Xtfl__wf__induct__1__1'( X, Z, T ) ) ) ), ~(
% 0.92/1.33 'c_Wellfounded_Owf'( Z, T ) ) ],
% 0.92/1.33 [ =( 'c_Relation_OImage'( X,
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.92/1.33 'tc_bool' ) ), T, U ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.33 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 0.92/1.33 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.92/1.33 [ =( 'c_Relation_OImage'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.33 X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), U, Z, T ),
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_OImage'( X, U,
% 0.92/1.33 Z, T ), 'c_Relation_OImage'( Y, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ) ]
% 0.92/1.33 ,
% 0.92/1.33 [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 0.92/1.33 'c_Relation_Orel__comp'( W, V0, Z, T, U ), 'tc_fun'( 'tc_prod'( Z, U ),
% 0.92/1.33 'tc_bool' ) ), ~( 'c_lessequals'( Y, V0, 'tc_fun'( 'tc_prod'( T, U ),
% 0.92/1.33 'tc_bool' ) ) ), ~( 'c_lessequals'( X, W, 'tc_fun'( 'tc_prod'( Z, T ),
% 0.92/1.33 'tc_bool' ) ) ) ],
% 0.92/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 0.92/1.33 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X, 'tc_fun'( Y,
% 0.92/1.33 'tc_bool' ) ), X ) ],
% 0.92/1.33 [ 'c_lessequals'( X, 'c_Product__Type_OSigma'( Y, 'c_COMBK'( Y, 'tc_fun'(
% 0.92/1.33 Z, 'tc_bool' ), Z ), Z, Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ),
% 0.92/1.33 ~( 'c_Relation_Orefl__on'( Y, X, Z ) ) ],
% 0.92/1.33 [ 'c_lessequals'( 'c_Relation_OId__on'( X, Y ), 'c_Product__Type_OSigma'(
% 0.92/1.33 X, 'c_COMBK'( X, 'tc_fun'( Y, 'tc_bool' ), Y ), Y, Y ), 'tc_fun'(
% 0.92/1.33 'tc_prod'( Y, Y ), 'tc_bool' ) ) ],
% 0.92/1.33 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.92/1.33 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.92/1.33 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.92/1.33 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 0.92/1.33 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 0.92/1.33 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.92/1.33 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.92/1.33 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 0.92/1.33 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.92/1.33 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.33 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Relation_ODomain'( X
% 0.92/1.33 , Y, Z ), 'c_Relation_ODomain'( T, Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ),
% 0.92/1.33 'c_Relation_ODomain'( 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'(
% 0.92/1.33 'tc_prod'( Y, Z ), 'tc_bool' ) ), Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ) ]
% 0.92/1.33 ,
% 0.92/1.33 [ 'c_in'( hAPP( X, Y ), Z, T ), ~( 'c_in'( Y, U, W ) ), ~(
% 0.92/1.33 'c_lessequals'( 'c_Set_Oimage'( X, U, W, T ), Z, 'tc_fun'( T, 'tc_bool' )
% 0.92/1.33 ) ) ],
% 0.92/1.33 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.92/1.33 'c_Product__Type_OSigma'( X, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.92/1.33 , Z, U ), 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U,
% 0.92/1.33 'tc_bool' ), Z ), Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ),
% 0.92/1.33 ~( 'c_in'( W, T, U ) ) ],
% 0.92/1.33 [ 'c_lessequals'( 'c_Product__Type_OSigma'( X, 'c_COMBK'( Y, 'tc_fun'( Z
% 0.92/1.33 , 'tc_bool' ), T ), T, Z ), 'c_Product__Type_OSigma'( U, 'c_COMBK'( Y,
% 0.92/1.33 'tc_fun'( Z, 'tc_bool' ), T ), T, Z ), 'tc_fun'( 'tc_prod'( T, Z ),
% 0.92/1.33 'tc_bool' ) ), ~( 'c_lessequals'( X, U, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 0.92/1.33 'c_in'( W, Y, Z ) ) ],
% 0.92/1.33 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.92/1.33 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'(
% 0.92/1.33 Z, 'tc_bool' ) ) ), ~( 'c_in'( X, T, Z ) ) ],
% 0.92/1.33 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.92/1.33 'c_Set_Oinsert'( T, X, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.33 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.92/1.33 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.92/1.33 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_Relation_ORange'( X,
% 0.92/1.33 Y, Z ), 'c_Relation_ORange'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.92/1.33 'c_Relation_ORange'( 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'(
% 0.92/1.33 'tc_prod'( Y, Z ), 'tc_bool' ) ), Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ]
% 0.92/1.33 ,
% 0.92/1.33 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.92/1.33 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1'( X, Z, T ) ) ) ),
% 0.92/1.33 ~( 'c_Wellfounded_Owf'( Z, T ) ) ],
% 0.92/1.33 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.33 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.92/1.33 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.92/1.33 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'(
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 0.92/1.33 Y, Y ), 'tc_bool' ) ), Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ]
% 0.92/1.33 ,
% 0.92/1.33 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X, Y
% 0.92/1.33 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.92/1.33 'tc_bool' ) ), Z ) ) ],
% 0.92/1.33 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oinsert'( Y
% 0.92/1.33 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.92/1.33 'tc_bool' ) ), T ) ) ],
% 0.92/1.33 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.92/1.33 , Z ), 'c_Set_Oinsert'( X, T, Z ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.92/1.33 'c_Set_Oinsert'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.92/1.33 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.92/1.33 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 0.92/1.33 'c_Set_Oinsert'( X, Y, Z ) ) ],
% 0.92/1.33 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z,
% 0.92/1.33 X, T ), Y ) ) ) ],
% 0.92/1.33 [ =( 'c_Relation_ODomain'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, T ), U,
% 0.92/1.33 'tc_prod'( Z, T ) ), Z, T ), 'c_Set_Oinsert'( X, 'c_Relation_ODomain'( U
% 0.92/1.33 , Z, T ), Z ) ) ],
% 0.92/1.33 [ 'c_Relation_Osym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 0.92/1.33 , 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Osym'(
% 0.92/1.33 Y, Z ) ), ~( 'c_Relation_Osym'( X, Z ) ) ],
% 0.92/1.33 [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.92/1.33 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.92/1.33 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.92/1.33 'tc_bool' ) ) ) ],
% 0.92/1.33 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, X, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.92/1.33 ) ) ],
% 0.92/1.33 [ 'c_lessequals'( 'c_Set_Oimage'( X,
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.92/1.33 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.33 'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U,
% 0.92/1.33 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.92/1.33 [ 'c_lessequals'( 'c_Relation_OImage'( X,
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.92/1.33 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.33 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 0.92/1.33 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.92/1.33 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.92/1.33 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.92/1.33 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_lessequals'( T, X,
% 0.92/1.33 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.92/1.33 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.92/1.33 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.92/1.33 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( T, X,
% 0.92/1.33 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.33 [ =( 'c_Product__Type_OSigma'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.92/1.33 'tc_fun'( Z, 'tc_bool' ) ), T, Z, U ), 'c_HOL_Ominus__class_Ominus'(
% 0.92/1.33 'c_Product__Type_OSigma'( X, T, Z, U ), 'c_Product__Type_OSigma'( Y, T, Z
% 0.92/1.33 , U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.92/1.33 [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 0.92/1.33 'c_Product__Type_OSigma'( W, 'c_COMBK'( V0, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.92/1.33 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.92/1.33 Y, 'c_Product__Type_OSigma'( V1, 'c_COMBK'( V0, 'tc_fun'( U, 'tc_bool' )
% 0.92/1.33 , T ), T, U ), 'tc_fun'( 'tc_prod'( T, U ), 'tc_bool' ) ) ), ~(
% 0.92/1.33 'c_lessequals'( X, 'c_Product__Type_OSigma'( W, 'c_COMBK'( V1, 'tc_fun'(
% 0.92/1.33 T, 'tc_bool' ), Z ), Z, T ), 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ) )
% 0.92/1.33 ],
% 0.92/1.33 [ 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.92/1.33 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_lessequals'(
% 0.92/1.33 'c_Relation_Orel__comp'( X, Y, Z, Z, Z ), X, 'tc_fun'( 'tc_prod'( Z, Z )
% 0.92/1.33 , 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Y, Z ) ), ~(
% 0.92/1.33 'c_Wellfounded_Owf'( X, Z ) ) ],
% 0.92/1.33 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP(
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T,
% 0.92/1.33 'tc_bool' ) ), Y ) ) ) ],
% 0.92/1.33 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.92/1.33 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ],
% 0.92/1.33 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.92/1.33 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 0.92/1.33 [ 'c_Relation_Orefl__on'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.33 X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( T, U, 'tc_fun'( 'tc_prod'(
% 0.92/1.33 Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ), ~(
% 0.92/1.33 'c_Relation_Orefl__on'( X, T, Z ) ) ],
% 0.92/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.92/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.92/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.92/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.92/1.33 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.92/1.33 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.92/1.33 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.33 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.92/1.33 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.92/1.33 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.92/1.33 [ =( 'c_Product__Type_OSigma'( 'c_Set_Oinsert'( X, Y, Z ), 'c_COMBK'(
% 0.92/1.33 'c_Set_Oinsert'( T, U, W ), 'tc_fun'( W, 'tc_bool' ), Z ), Z, W ),
% 0.92/1.33 'c_Set_Oinsert'( 'c_Pair'( X, T, Z, W ),
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Product__Type_OSigma'( Y
% 0.92/1.33 , 'c_COMBK'( 'c_Set_Oinsert'( T, U, W ), 'tc_fun'( W, 'tc_bool' ), Z ), Z
% 0.92/1.33 , W ), 'c_Product__Type_OSigma'( 'c_Set_Oinsert'( X, Y, Z ), 'c_COMBK'( U
% 0.92/1.33 , 'tc_fun'( W, 'tc_bool' ), Z ), Z, W ), 'tc_fun'( 'tc_prod'( Z, W ),
% 0.92/1.33 'tc_bool' ) ), 'tc_prod'( Z, W ) ) ) ],
% 0.92/1.33 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.92/1.33 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.92/1.33 T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 0.92/1.33 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 0.92/1.33 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.92/1.33 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.33 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), T,
% 0.92/1.33 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 0.92/1.33 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.92/1.33 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.33 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.92/1.33 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Z, 'tc_bool'
% 0.92/1.33 ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( U, Y, 'tc_fun'( Z,
% 0.92/1.33 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.92/1.33 ,
% 0.92/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), X ) ],
% 0.92/1.33 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.92/1.33 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y,
% 0.92/1.33 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.92/1.33 'c_HOL_Ominus__class_Ominus'(
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.92/1.33 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ],
% 0.92/1.33 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.92/1.33 'c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1'( X, Z, T ) ) ) ), ~(
% 0.92/1.33 'c_Wellfounded_Owf'( Z, T ) ) ],
% 0.92/1.33 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_Wellfounded_Oacyclic'(
% 0.92/1.33 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.92/1.33 [ 'c_Wellfounded_Oacyclic'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 0.92/1.33 'c_Wellfounded_Oacyclic'( X, Y ) ) ],
% 0.92/1.33 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.92/1.33 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.33 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.92/1.33 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.92/1.33 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.92/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.92/1.33 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.92/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.92/1.33 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.92/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ],
% 0.92/1.33 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.33 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.92/1.33 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), X ) ],
% 0.92/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~(
% 0.92/1.33 'c_lessequals'( Z, Y, X ) ) ],
% 0.92/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ),
% 0.92/1.33 'c_lessequals'( Y, Z, X ) ],
% 0.92/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~(
% 0.92/1.33 'c_lessequals'( Y, Z, X ) ) ],
% 0.92/1.33 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.92/1.33 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.92/1.33 ],
% 0.92/1.33 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.92/1.33 'tc_bool' ) ), X ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.92/1.33 ],
% 0.92/1.33 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.92/1.33 , 'tc_bool' ) ), Y ) ), 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.92/1.33 ],
% 0.92/1.33 [ 'c_lessequals'( 'c_Transitive__Closure_Otrancl'( X, Y ),
% 0.92/1.33 'c_Product__Type_OSigma'( Z, 'c_COMBK'( Z, 'tc_fun'( Y, 'tc_bool' ), Y )
% 0.92/1.33 , Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.92/1.33 X, 'c_Product__Type_OSigma'( Z, 'c_COMBK'( Z, 'tc_fun'( Y, 'tc_bool' ), Y
% 0.92/1.33 ), Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.92/1.33 [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.92/1.33 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.92/1.33 'tc_bool' ) ), ~( 'c_lessequals'( X, 'c_Transitive__Closure_Ortrancl'( Z
% 0.92/1.33 , Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.92/1.33 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.92/1.33 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.92/1.33 'tc_bool' ) ), Z ) ), ~( 'c_in'( X, T, Z ) ) ],
% 0.92/1.33 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.92/1.33 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.92/1.33 'tc_bool' ) ), T ) ), ~( 'c_in'( Y, X, T ) ) ],
% 0.92/1.33 [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ),
% 0.92/1.33 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ],
% 0.92/1.33 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.92/1.33 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.33 T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.92/1.33 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.92/1.33 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.33 [ =( 'c_Relation_Oconverse'(
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.92/1.33 Z, T ), 'tc_bool' ) ), Z, T ),
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Oconverse'( X,
% 0.92/1.33 Z, T ), 'c_Relation_Oconverse'( Y, Z, T ), 'tc_fun'( 'tc_prod'( T, Z ),
% 0.92/1.33 'tc_bool' ) ) ) ],
% 0.92/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.92/1.33 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), U, 'tc_fun'( T,
% 0.92/1.33 'tc_bool' ) ), ~( 'c_in'( X, 'c_FuncSet_OPi'( Y, 'c_COMBK'( U, 'tc_fun'(
% 0.92/1.33 T, 'tc_bool' ), Z ), Z, T ), 'tc_fun'( Z, T ) ) ) ],
% 0.92/1.33 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.92/1.33 'tc_bool' ) ), X ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.92/1.33 ],
% 0.92/1.33 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.92/1.33 'tc_bool' ) ), Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.92/1.33 ],
% 0.92/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~(
% 0.92/1.33 'c_lessequals'( Y, Z, X ) ) ],
% 0.92/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ),
% 0.92/1.33 'c_lessequals'( Y, Z, X ) ],
% 0.92/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 0.92/1.33 'c_lessequals'( Z, Y, X ) ) ],
% 0.92/1.33 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.92/1.33 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.92/1.33 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.92/1.33 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.33 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X
% 0.92/1.33 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.92/1.33 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 0.92/1.33 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.92/1.33 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.92/1.33 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.92/1.33 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.92/1.33 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.92/1.33 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.92/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.92/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.92/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.92/1.33 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.92/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.92/1.33 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.92/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.92/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.92/1.33 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.92/1.33 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X,
% 0.92/1.33 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.92/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.92/1.33 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_Wellfounded_Owf'( X, Y ) ) ]
% 0.92/1.33 ,
% 0.92/1.33 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.92/1.33 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.92/1.33 Z, 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' )
% 0.92/1.33 ) ) ],
% 0.92/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ),
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), X ) ],
% 0.92/1.33 [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.92/1.33 'c_Transitive__Closure_Ortrancl'( Z, Y ) ), ~( 'c_lessequals'( X,
% 0.92/1.33 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.92/1.33 'tc_bool' ) ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.92/1.33 'tc_bool' ) ) ) ],
% 0.92/1.33 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.92/1.33 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.92/1.33 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.92/1.33 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.92/1.33 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( T, X, 'tc_fun'( Z,
% 0.92/1.33 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.92/1.33 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.92/1.33 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 0.92/1.33 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.33 [ 'c_in'( X, Y, Z ), ~( 'c_lessequals'( 'c_Set_Oinsert'( X, T, Z ), Y,
% 0.92/1.33 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.33 [ =( 'c_Product__Type_OSigma'(
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.92/1.33 'tc_bool' ) ), T, Z, U ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.33 'c_Product__Type_OSigma'( X, T, Z, U ), 'c_Product__Type_OSigma'( Y, T, Z
% 0.92/1.33 , U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.92/1.33 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 0.92/1.33 ) ) ],
% 0.92/1.33 [ =( 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ),
% 0.92/1.33 'c_Set_Oimage'( X, Z, T, U ) ), ~( 'c_in'( Y, Z, T ) ) ],
% 0.92/1.33 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.92/1.33 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 'c_in'( Y, X
% 0.92/1.33 , T ) ],
% 0.92/1.33 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), 'c_in'( T, X, Z ),
% 0.92/1.33 ~( 'c_lessequals'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.92/1.33 ) ) ) ],
% 0.92/1.33 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.92/1.33 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 'c_in'( Y, X
% 0.92/1.33 , T ) ],
% 0.92/1.33 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.92/1.33 , 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_in'( T, X
% 0.92/1.33 , Z ) ],
% 0.92/1.33 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.92/1.33 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.92/1.33 'tc_bool' ) ) ), 'c_in'( Y, X, T ) ],
% 0.92/1.33 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.92/1.33 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.92/1.33 'tc_bool' ) ) ), 'c_in'( X, T, Z ) ],
% 0.92/1.33 [ 'c_Relation_Ototal__on'( X, Y, Z ), ~(
% 0.92/1.33 'c_Order__Relation_Ostrict__linear__order__on'( X, Y, Z ) ) ],
% 0.92/1.33 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.33 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 0.92/1.33 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.33 X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.33 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.92/1.33 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.92/1.33 Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.92/1.33 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.33 [ =( 'c_Relation_Orel__comp'(
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.92/1.33 Z, T ), 'tc_bool' ) ), U, Z, T, W ),
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.92/1.33 , U, Z, T, W ), 'c_Relation_Orel__comp'( Y, U, Z, T, W ), 'tc_fun'(
% 0.92/1.33 'tc_prod'( Z, W ), 'tc_bool' ) ) ) ],
% 0.92/1.33 [ =( 'c_Relation_Orel__comp'( X,
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'(
% 0.92/1.33 T, U ), 'tc_bool' ) ), W, T, U ),
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.92/1.33 , Y, W, T, U ), 'c_Relation_Orel__comp'( X, Z, W, T, U ), 'tc_fun'(
% 0.92/1.33 'tc_prod'( W, U ), 'tc_bool' ) ) ) ],
% 0.92/1.33 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.92/1.33 , 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.92/1.33 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.33 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.92/1.33 , 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.92/1.33 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.92/1.33 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.33 Z, T, X ), X ) ) ],
% 0.92/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.92/1.33 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.33 T, Z, X ), X ) ) ],
% 0.92/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.92/1.33 'c_lessequals'( Y, T, X ) ) ],
% 0.92/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.92/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.92/1.33 'c_lessequals'( Z, T, X ) ) ],
% 0.92/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.92/1.33 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.33 Z, T, X ), X ) ) ],
% 0.92/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.92/1.33 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.33 T, Z, X ), X ) ) ],
% 0.92/1.33 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.92/1.33 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.92/1.33 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.33 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.92/1.33 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.92/1.33 Z, 'tc_bool' ) ) ) ],
% 0.92/1.33 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X,
% 0.92/1.34 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.92/1.34 [ =( 'c_Relation_ODomain'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.34 X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), Z, T ),
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ODomain'( X, Z
% 0.92/1.34 , T ), 'c_Relation_ODomain'( Y, Z, T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.92/1.34 ,
% 0.92/1.34 [ 'c_lessequals'( 'c_Wellfounded_Oacc'( X, Y ), 'c_Wellfounded_Oacc'( Z
% 0.92/1.34 , Y ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'(
% 0.92/1.34 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.92/1.34 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ) ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.92/1.34 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.92/1.34 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1'( X, Z, T ) ) )
% 0.92/1.34 ), ~( 'c_Wellfounded_Owf'( Z, T ) ) ],
% 0.92/1.34 [ =( 'c_Transitive__Closure_Ortrancl'(
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.34 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.92/1.34 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.92/1.34 'tc_bool' ) ), Y ), 'c_Transitive__Closure_Ortrancl'(
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 0.92/1.34 Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 0.92/1.34 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.92/1.34 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.92/1.34 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ),
% 0.92/1.34 'c_in'( X, T, Z ) ],
% 0.92/1.34 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X, 'tc_fun'( T,
% 0.92/1.34 'tc_bool' ) ), Y ) ) ) ],
% 0.92/1.34 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.92/1.34 'tc_bool' ) ), Y ) ) ) ],
% 0.92/1.34 [ =( 'c_Relation_ORange'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, T ), U,
% 0.92/1.34 'tc_prod'( Z, T ) ), Z, T ), 'c_Set_Oinsert'( Y, 'c_Relation_ORange'( U,
% 0.92/1.34 Z, T ), T ) ) ],
% 0.92/1.34 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X,
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z
% 0.92/1.34 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.92/1.34 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T,
% 0.92/1.34 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ ~( =( hAPP( X, 'c_List_Osko__Recdef__Xcuts__eq__1__1'( X, Y, Z, T, U,
% 0.92/1.34 W ) ), hAPP( Y, 'c_List_Osko__Recdef__Xcuts__eq__1__1'( X, Y, Z, T, U, W
% 0.92/1.34 ) ) ) ), =( 'c_Recdef_Ocut'( X, Z, T, U, W ), 'c_Recdef_Ocut'( Y, Z, T,
% 0.92/1.34 U, W ) ) ],
% 0.92/1.34 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_Wellfounded_Oacyclic'(
% 0.92/1.34 'c_Set_Oinsert'( 'c_Pair'( Z, T, Y, Y ), X, 'tc_prod'( Y, Y ) ), Y ) ) ]
% 0.92/1.34 ,
% 0.92/1.34 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( T, Z )
% 0.92/1.34 , X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ],
% 0.92/1.34 [ 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 0.92/1.34 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Z, T ) ), ~( 'c_in'( X, Y
% 0.92/1.34 , T ) ) ],
% 0.92/1.34 [ 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 0.92/1.34 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Z, T ) ), ~( 'c_in'( X, Y
% 0.92/1.34 , T ) ) ],
% 0.92/1.34 [ 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), ~( 'c_in'( X, Z, T ) ) ]
% 0.92/1.34 ,
% 0.92/1.34 [ 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), ~( 'c_in'( X, Z, T ) ) ]
% 0.92/1.34 ,
% 0.92/1.34 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y,
% 0.92/1.34 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ 'c_in'( X, Y, Z ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.92/1.34 ), ~( 'c_in'( X, T, Z ) ) ],
% 0.92/1.34 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y,
% 0.92/1.34 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y,
% 0.92/1.34 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.92/1.34 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Y, T ) ) ],
% 0.92/1.34 [ 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.92/1.34 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Z, T ) ) ],
% 0.92/1.34 [ 'c_in'( X, Y, Z ), =( X, T ), ~( 'c_in'( X, 'c_Set_Oinsert'( T, Y, Z )
% 0.92/1.34 , Z ) ) ],
% 0.92/1.34 [ 'c_in'( X, Y, Z ), 'c_in'( X, T, Z ), ~( 'c_in'( X,
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ), Z ) ) ],
% 0.92/1.34 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( T
% 0.92/1.34 , Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.92/1.34 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, T,
% 0.92/1.34 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.92/1.34 [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 0.92/1.34 [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 0.92/1.34 [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 0.92/1.34 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X,
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ), Z ) ) ],
% 0.92/1.34 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X,
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ), Z ) ) ],
% 0.92/1.34 [ 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool'
% 0.92/1.34 ) ), T ), 'c_in'( X, Z, T ), ~( 'c_in'( X, Y, T ) ) ],
% 0.92/1.34 [ 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool'
% 0.92/1.34 ) ), T ), 'c_in'( X, Z, T ), ~( 'c_in'( X, Y, T ) ) ],
% 0.92/1.34 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ) ) ),
% 0.92/1.34 'c_in'( X, T, Z ), 'c_in'( X, Y, Z ), =( Y, T ) ],
% 0.92/1.34 [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( 'c_in'( X, Y, Z ) ) ],
% 0.92/1.34 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( hAPP( T, X ), 'c_Set_Oimage'( T, Y, Z
% 0.92/1.34 , U ), U ) ],
% 0.92/1.34 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( hAPP( T, X ), 'c_Set_Oimage'( T, Y, Z
% 0.92/1.34 , U ), U ) ],
% 0.92/1.34 [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ), ~( 'c_in'( Y
% 0.92/1.34 , Z, T ) ) ],
% 0.92/1.34 [ 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ), ~( 'c_in'( Y
% 0.92/1.34 , Z, T ) ) ],
% 0.92/1.34 [ =( 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, Z, T, U ), U, W ),
% 0.92/1.34 'c_Set_Oimage'( 'c_COMBB'( X, Y, U, W, T ), Z, T, W ) ) ],
% 0.92/1.34 [ 'c_in'( X, Y, Z ), =( X, T ), ~( 'c_lessequals'( U,
% 0.92/1.34 'c_Product__Type_OSigma'( Y, 'c_COMBK'( Y, 'tc_fun'( Z, 'tc_bool' ), Z )
% 0.92/1.34 , Z, Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) ), ~( 'c_in'(
% 0.92/1.34 'c_Pair'( X, T, Z, Z ), 'c_Transitive__Closure_Ortrancl'( U, Z ),
% 0.92/1.34 'tc_prod'( Z, Z ) ) ) ],
% 0.92/1.34 [ 'c_Relation_Oirrefl'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.92/1.34 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ]
% 0.92/1.34 ,
% 0.92/1.34 [ 'c_in'( 'c_Pair'(
% 0.92/1.34 'c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1'( X, Y, Z, T )
% 0.92/1.34 , Y, T, T ), Z, 'tc_prod'( T, T ) ), =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y
% 0.92/1.34 , T, T ), 'c_Transitive__Closure_Ortrancl'( Z, T ), 'tc_prod'( T, T ) ) )
% 0.92/1.34 ],
% 0.92/1.34 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.92/1.34 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.92/1.34 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.92/1.34 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.92/1.34 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.92/1.34 'tc_fun'( Z, 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.92/1.34 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.92/1.34 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.92/1.34 [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 0.92/1.34 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.92/1.34 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.92/1.34 , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 0.92/1.34 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.92/1.34 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.92/1.34 , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ =( 'c_Product__Type_OSigma'(
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ), 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Product__Type_OSigma'( X
% 0.92/1.34 , 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.92/1.34 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.92/1.34 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.92/1.34 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.92/1.34 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( T,
% 0.92/1.34 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z,
% 0.92/1.34 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.92/1.34 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ 'c_Relation_Otrans'( X, Y ), ~(
% 0.92/1.34 'c_Order__Relation_Ostrict__linear__order__on'( Z, X, Y ) ) ],
% 0.92/1.34 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 0.92/1.34 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool'
% 0.92/1.34 ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_in'( X
% 0.92/1.34 , T, Z ) ) ],
% 0.92/1.34 [ =( 'c_Product__Type_OSigma'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.92/1.34 'tc_fun'( Z, 'tc_bool' ) ), 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ),
% 0.92/1.34 Z, U ), 'c_HOL_Ominus__class_Ominus'( 'c_Product__Type_OSigma'( X,
% 0.92/1.34 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.92/1.34 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.92/1.34 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.92/1.34 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ) ) ],
% 0.92/1.34 [ =( 'c_Relation_ORange'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.34 X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), Z, T ),
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ORange'( X, Z,
% 0.92/1.34 T ), 'c_Relation_ORange'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 0.92/1.34 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X, 'tc_fun'( Y,
% 0.92/1.34 'tc_bool' ) ), X ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.92/1.34 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.92/1.34 Y, X ), Z, X ) ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.92/1.34 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.92/1.34 T, X ), Z, X ) ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.92/1.34 'c_lessequals'( Y, T, X ) ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.92/1.34 'c_lessequals'( Y, Z, X ) ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.92/1.34 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.92/1.34 Y, X ), Z, X ) ) ],
% 0.92/1.34 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.92/1.34 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.92/1.34 T, X ), Z, X ) ) ],
% 0.92/1.34 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.92/1.34 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.92/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.92/1.34 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.92/1.34 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.92/1.34 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.92/1.34 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( T
% 0.92/1.34 , Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ) ) ],
% 0.92/1.34 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( 'c_lessequals'(
% 0.92/1.34 Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'(
% 0.92/1.34 'tc_prod'( Y, Y ), 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ) ]
% 0.92/1.34 ,
% 0.92/1.34 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.92/1.34 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.92/1.34 ,
% 0.92/1.34 [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'( Z, Y ) ), ~(
% 0.92/1.34 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.92/1.34 [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool'
% 0.92/1.34 ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 0.92/1.34 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'(
% 0.92/1.34 'tc_prod'( Y, Y ), 'tc_bool' ) ) ), ~( 'c_Wellfounded_Oacyclic'( Z, Y ) )
% 0.92/1.34 ],
% 0.92/1.34 [ 'c_Relation_Osingle__valued'( X, Y, Z ), ~(
% 0.92/1.34 'c_Relation_Osingle__valued'( T, Y, Z ) ), ~( 'c_lessequals'( X, T,
% 0.92/1.34 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.92/1.34 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.92/1.34 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.34 T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.92/1.34 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.92/1.34 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.92/1.34 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.34 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 0.92/1.34 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.92/1.34 T, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.92/1.34 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.92/1.34 Z, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ 'c_lessequals'( 'c_Relation_ODomain'( X, Y, Z ), 'c_Relation_ODomain'(
% 0.92/1.34 T, Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'(
% 0.92/1.34 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.92/1.34 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.92/1.34 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.34 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T, 'tc_bool' ) ),
% 0.92/1.34 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.92/1.34 T, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ hBOOL( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.92/1.34 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ), ~( hBOOL(
% 0.92/1.34 hAPP( X, T ) ) ) ],
% 0.92/1.34 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.92/1.34 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), Z ), ~(
% 0.92/1.34 'c_lessequals'( X, Y, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 0.92/1.34 , X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.92/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.92/1.34 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.92/1.34 ,
% 0.92/1.34 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.92/1.34 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.92/1.34 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.92/1.34 ,
% 0.92/1.34 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z
% 0.92/1.34 , T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ) ) ],
% 0.92/1.34 [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_lessequals'(
% 0.92/1.34 'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U ), 'tc_fun'( U,
% 0.92/1.34 'tc_bool' ) ) ],
% 0.92/1.34 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z )
% 0.92/1.34 , 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ) ) ],
% 0.92/1.34 [ =( 'c_Set_Oimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.92/1.34 , Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ),
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oimage'( X, Y, T, U
% 0.92/1.34 ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.92/1.34 [ 'c_lessequals'( 'c_Relation_OImage'( X, Y, Z, T ), 'c_Relation_OImage'(
% 0.92/1.34 U, W, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, W,
% 0.92/1.34 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, U, 'tc_fun'(
% 0.92/1.34 'tc_prod'( Z, T ), 'tc_bool' ) ) ) ],
% 0.92/1.34 [ 'c_lessequals'( X, 'c_Product__Type_OSigma'( Y, 'c_COMBK'( Y, 'tc_fun'(
% 0.92/1.34 Z, 'tc_bool' ), Z ), Z, Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ),
% 0.92/1.34 ~( 'c_Equiv__Relations_Oequiv'( Y, X, Z ) ) ],
% 0.92/1.34 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.92/1.34 'c_lessequals'( Z, Y, X ) ],
% 0.92/1.34 [ ~( =( hAPP( X, 'v_sko__Arrow__Order__Mirabelle__Xdictator__def__1'( X
% 0.92/1.34 , Y ) ), hAPP( 'v_sko__Arrow__Order__Mirabelle__Xdictator__def__1'( X, Y
% 0.92/1.34 ), Y ) ) ), 'c_Arrow__Order__Mirabelle_Odictator'( X, Y ) ],
% 0.92/1.34 [ 'c_Relation_Oirrefl'( X, Y ), ~(
% 0.92/1.34 'c_Order__Relation_Ostrict__linear__order__on'( Z, X, Y ) ) ],
% 0.92/1.34 [ 'c_Wellfounded_Oacyclic'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, Z ), T,
% 0.92/1.34 'tc_prod'( Z, Z ) ), Z ), 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.92/1.34 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ), ~(
% 0.92/1.34 'c_Wellfounded_Oacyclic'( T, Z ) ) ],
% 0.92/1.34 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T
% 0.92/1.34 , Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_Wellfounded_Oacyclic'(
% 0.92/1.34 'c_Set_Oinsert'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ) ]
% 0.92/1.34 ,
% 0.92/1.34 [ hBOOL( hAPP( X, Y ) ), 'c_in'( 'c_Pair'(
% 0.92/1.34 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1'( X, Z,
% 0.92/1.34 T, U ), 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2'(
% 0.92/1.34 X, Z, T, U ), U, U ), T, 'tc_prod'( U, U ) ), ~( hBOOL( hAPP( X, Z ) ) )
% 0.92/1.34 , ~( 'c_in'( 'c_Pair'( Z, Y, U, U ), 'c_Transitive__Closure_Ortrancl'( T
% 0.92/1.34 , U ), 'tc_prod'( U, U ) ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1'( X,
% 0.92/1.34 Y, Z ), X, Z ), ~( 'c_in'( T, X, Z ) ), ~( 'c_Wellfounded_Owf'( Y, Z ) )
% 0.92/1.34 ],
% 0.92/1.34 [ 'c_in'( 'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1'( X, Y, Z )
% 0.92/1.34 , X, Z ), ~( 'c_in'( T, X, Z ) ), ~( 'c_Wellfounded_Owf'( Y, Z ) ) ],
% 0.92/1.34 [ ~( =( 'c_Product__Type_OSigma'( X, 'c_COMBK'( Y, 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ), T ), T, Z ), 'c_Product__Type_OSigma'( U, 'c_COMBK'( Y,
% 0.92/1.34 'tc_fun'( Z, 'tc_bool' ), T ), T, Z ) ) ), ~( 'c_in'( W, Y, Z ) ), =( X,
% 0.92/1.34 U ) ],
% 0.92/1.34 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_Wellfounded_Owf'( 'c_Set_Oinsert'(
% 0.92/1.34 'c_Pair'( Z, T, Y, Y ), X, 'tc_prod'( Y, Y ) ), Y ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_ATP__Linkup_Osko__Relation__XImageE__1__1'( X, Y, Z, T, U )
% 0.92/1.34 , X, T ), ~( 'c_in'( Y, 'c_Relation_OImage'( Z, X, T, U ), U ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1'( X, Y, Z, T
% 0.92/1.34 , U ), X, T ), ~( 'c_in'( Y, 'c_Relation_OImage'( Z, X, T, U ), U ) ) ]
% 0.92/1.34 ,
% 0.92/1.34 [ 'c_in'( X, 'c_Transitive__Closure_Ortrancl'(
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'(
% 0.92/1.34 T, T ), 'tc_bool' ) ), T ), 'tc_prod'( T, T ) ), ~( 'c_in'( X,
% 0.92/1.34 'c_Transitive__Closure_Ortrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ],
% 0.92/1.34 [ 'c_in'( X, 'c_Transitive__Closure_Ortrancl'(
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'(
% 0.92/1.34 T, T ), 'tc_bool' ) ), T ), 'tc_prod'( T, T ) ), ~( 'c_in'( X,
% 0.92/1.34 'c_Transitive__Closure_Ortrancl'( Z, T ), 'tc_prod'( T, T ) ) ) ],
% 0.92/1.34 [ 'c_in'( X, 'c_Transitive__Closure_Otrancl'( Y, Z ), 'tc_prod'( Z, Z )
% 0.92/1.34 ), ~( 'c_lessequals'( T, Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) )
% 0.92/1.34 , ~( 'c_in'( X, 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z
% 0.92/1.34 ) ) ) ],
% 0.92/1.34 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.92/1.34 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, Z, T ) ) ) ),
% 0.92/1.34 ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z, T ), T ) ) ],
% 0.92/1.34 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.92/1.34 'v_sko__Wellfounded__Xacc__Xinducts__1'( X, Z ) ) ) ), ~( 'c_in'( Y,
% 0.92/1.34 'c_Wellfounded_Oacc'( Z, 't_a' ), 't_a' ) ) ],
% 0.92/1.34 [ hBOOL( hAPP( X, Y ) ), 'c_in'(
% 0.92/1.34 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, Z, T ),
% 0.92/1.34 'c_Wellfounded_Oacc'( Z, T ), T ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z
% 0.92/1.34 , T ), T ) ) ],
% 0.92/1.34 [ ~( 'c_in'( 'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1'( X
% 0.92/1.34 , Y, Z ), 'c_Wellfounded_Oacc'( X, Z ), Z ) ), 'c_in'( Y,
% 0.92/1.34 'c_Wellfounded_Oacc'( X, Z ), Z ) ],
% 0.92/1.34 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.92/1.34 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, Z, T ) )
% 0.92/1.34 ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z, T ), T ) ) ],
% 0.92/1.34 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.92/1.34 'v_sko__Wellfounded__Xacc__Xinduct__1'( X, Z ) ) ) ), ~( 'c_in'( Y,
% 0.92/1.34 'c_Wellfounded_Oacc'( Z, 't_a' ), 't_a' ) ) ],
% 0.92/1.34 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'(
% 0.92/1.34 'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1'( Y, X, Z ),
% 0.92/1.34 'c_Wellfounded_Oacc'( Y, Z ), Z ) ) ],
% 0.92/1.34 [ hBOOL( hAPP( X, Y ) ), 'c_in'(
% 0.92/1.34 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, Z, T ),
% 0.92/1.34 'c_Wellfounded_Oacc'( Z, T ), T ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z
% 0.92/1.34 , T ), T ) ) ],
% 0.92/1.34 [ 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.92/1.34 , X, Y, Y, Y ), 'c_Relation_Orel__comp'( Z, X, Y, Y, Y ), 'tc_fun'(
% 0.92/1.34 'tc_prod'( Y, Y ), 'tc_bool' ) ), Z, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.92/1.34 'tc_bool' ) ), Y ), ~( 'c_Wellfounded_Owf'(
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 0.92/1.34 Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 0.92/1.34 [ 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.92/1.34 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 0.92/1.34 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.92/1.34 , X, Z, Z, Z ), 'c_Relation_Orel__comp'( Y, X, Z, Z, Z ), 'tc_fun'(
% 0.92/1.34 'tc_prod'( Z, Z ), 'tc_bool' ) ), Y, 'tc_fun'( 'tc_prod'( Z, Z ),
% 0.92/1.34 'tc_bool' ) ), Z ) ) ],
% 0.92/1.34 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ),
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_Orel__comp'(
% 0.92/1.34 'c_Transitive__Closure_Otrancl'( X, Y ), X, Y, Y, Y ), 'tc_fun'(
% 0.92/1.34 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.92/1.34 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.34 'c_Transitive__Closure_Ortrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 0.92/1.34 'tc_prod'( Y, Y ), 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.92/1.34 ) ) ],
% 0.92/1.34 [ =( 'c_Transitive__Closure_Ortrancl'(
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 0.92/1.34 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.92/1.34 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.92/1.34 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.92/1.34 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.92/1.34 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.92/1.34 [ 'c_Relation_Oantisym'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ),
% 0.92/1.34 ~( 'c_Wellfounded_Oacyclic'( X, Y ) ) ],
% 0.92/1.34 [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), X, 'tc_fun'(
% 0.92/1.34 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_Relation_Otrans'( X, Y ) ) ],
% 0.92/1.34 [ 'c_Relation_Osym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.92/1.34 'c_Relation_Oconverse'( X, Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool'
% 0.92/1.34 ) ), Y ) ],
% 0.92/1.34 [ 'c_in'( 'c_Arrow__Order__Mirabelle_Oabove'( X, Y, Z ),
% 0.92/1.34 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.92/1.34 'tc_bool' ) ), ~( 'c_in'( X, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'(
% 0.92/1.34 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( Y, Z ) ],
% 0.92/1.34 [ 'c_Relation_Otrans'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.92/1.34 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.92/1.34 ~( 'c_Relation_Otrans'( X, Y ) ) ],
% 0.92/1.34 [ =( 'c_Relation_OImage'( 'c_Relation_OId__on'( X, Y ), Z, Y, Y ),
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( Y,
% 0.92/1.34 'tc_bool' ) ) ) ],
% 0.92/1.34 [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'(
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 0.92/1.34 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 0.92/1.34 [ 'c_Relation_Oantisym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X
% 0.92/1.34 , 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y )
% 0.92/1.34 , ~( 'c_Relation_Oantisym'( X, Y ) ) ],
% 0.92/1.34 [ 'c_Relation_Ototal__on'( X, Y, Z ), ~( 'c_Relation_Ototal__on'( X,
% 0.92/1.34 'c_HOL_Ominus__class_Ominus'( Y, 'c_Relation_OId'( Z ), 'tc_fun'(
% 0.92/1.34 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ) ) ],
% 0.92/1.34 [ 'c_Relation_Ototal__on'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.92/1.34 'c_Relation_OId'( Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ),
% 0.92/1.34 ~( 'c_Relation_Ototal__on'( X, Y, Z ) ) ],
% 0.92/1.34 [ hBOOL( hAPP( X, Y ) ), 'c_in'( 'c_Pair'( Z,
% 0.92/1.34 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1'( X, Z,
% 0.92/1.34 T, U ), U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U
% 0.92/1.34 ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( 'c_in'( 'c_Pair'( Z, Y, U, U ),
% 0.92/1.34 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) ) ],
% 0.92/1.34 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.92/1.34 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2'( X, Z,
% 0.92/1.34 T, U ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( 'c_in'( 'c_Pair'( Z, Y, U, U
% 0.92/1.34 ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) ) ]
% 0.92/1.34 ,
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, 'v_sko__Transitive__Closure__Xrtrancl__Xcases__1'(
% 0.92/1.34 X, Y, Z ), 't_a', 't_a' ), 'c_Transitive__Closure_Ortrancl'( Z, 't_a' ),
% 0.92/1.34 'tc_prod'( 't_a', 't_a' ) ), =( Y, X ), ~( 'c_in'( 'c_Pair'( X, Y, 't_a'
% 0.92/1.34 , 't_a' ), 'c_Transitive__Closure_Ortrancl'( Z, 't_a' ), 'tc_prod'( 't_a'
% 0.92/1.34 , 't_a' ) ) ) ],
% 0.92/1.34 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X,
% 0.92/1.34 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1'( X, Z,
% 0.92/1.34 T, U ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( 'c_in'( 'c_Pair'( Z, Y, U, U )
% 0.92/1.34 , 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( 'v_sko__Transitive__Closure__Xrtrancl__Xcases__1'( X
% 0.92/1.34 , Y, Z ), Y, 't_a', 't_a' ), Z, 'tc_prod'( 't_a', 't_a' ) ), =( Y, X ),
% 0.92/1.34 ~( 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ),
% 0.92/1.34 'c_Transitive__Closure_Ortrancl'( Z, 't_a' ), 'tc_prod'( 't_a', 't_a' ) )
% 0.92/1.34 ) ],
% 0.92/1.34 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.92/1.34 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1'(
% 0.92/1.34 X, Z, T, U ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( 'c_in'( 'c_Pair'( Y, Z
% 0.92/1.34 , U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) )
% 0.92/1.34 ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X,
% 0.92/1.34 'c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1'( X, Y, Z, T )
% 0.92/1.34 , T, T ), 'c_Transitive__Closure_Ortrancl'( Z, T ), 'tc_prod'( T, T ) ),
% 0.92/1.34 =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, T, T ),
% 0.92/1.34 'c_Transitive__Closure_Ortrancl'( Z, T ), 'tc_prod'( T, T ) ) ) ],
% 0.92/1.34 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 0.92/1.34 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1'( X, T, U ), U
% 0.92/1.34 , U ), T, 'tc_prod'( U, U ) ) ), ~( 'c_Wellfounded_Owf'( T, U ) ) ],
% 0.92/1.34 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 0.92/1.34 'c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1'( X, T, U ), U, U ), T,
% 0.92/1.34 'tc_prod'( U, U ) ) ), ~( 'c_Wellfounded_Owf'( T, U ) ) ],
% 0.92/1.34 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 0.92/1.34 'c_List_Osko__Recdef__Xtfl__wf__induct__1__1'( X, T, U ), U, U ), T,
% 0.92/1.34 'tc_prod'( U, U ) ) ), ~( 'c_Wellfounded_Owf'( T, U ) ) ],
% 0.92/1.34 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 0.92/1.34 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1'( X, T, U ), U, U ),
% 0.92/1.34 T, 'tc_prod'( U, U ) ) ), ~( 'c_Wellfounded_Owf'( T, U ) ) ],
% 0.92/1.34 [ ~( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ), 'c_in'(
% 0.92/1.34 'c_Pair'(
% 0.92/1.34 'c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1'( Z,
% 0.92/1.34 Y ), 'c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1'(
% 0.92/1.34 Z, Y ), Y, Y ), 'c_Transitive__Closure_Otrancl'( Z, Y ), 'tc_prod'( Y, Y
% 0.92/1.34 ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'(
% 0.92/1.34 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1'( X, Y
% 0.92/1.34 , Z, T ), Z, T, T ), 'c_Transitive__Closure_Otrancl'( X, T ), 'tc_prod'(
% 0.92/1.34 T, T ) ), 'c_in'( 'c_Pair'( Y, Z, T, T ), X, 'tc_prod'( T, T ) ), ~(
% 0.92/1.34 'c_in'( 'c_Pair'( Y, Z, T, T ), 'c_Transitive__Closure_Otrancl'( X, T ),
% 0.92/1.34 'tc_prod'( T, T ) ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X,
% 0.92/1.34 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1'( Y, X, Z, T ),
% 0.92/1.34 T, T ), Y, 'tc_prod'( T, T ) ), ~( 'c_in'( 'c_Pair'( X, Z, T, T ),
% 0.92/1.34 'c_Transitive__Closure_Otrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, 'v_sko__Transitive__Closure__Xtrancl__Xcases__1'(
% 0.92/1.34 X, Y, Z ), 't_a', 't_a' ), 'c_Transitive__Closure_Otrancl'( Z, 't_a' ),
% 0.92/1.34 'tc_prod'( 't_a', 't_a' ) ), 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ), Z,
% 0.92/1.34 'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ),
% 0.92/1.34 'c_Transitive__Closure_Otrancl'( Z, 't_a' ), 'tc_prod'( 't_a', 't_a' ) )
% 0.92/1.34 ) ],
% 0.92/1.34 [ ~( 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Transitive__Closure_Otrancl'( Z
% 0.92/1.34 , Y ), 'tc_prod'( Y, Y ) ) ), ~( 'c_Wellfounded_Oacyclic'( Z, Y ) ) ]
% 0.92/1.34 ,
% 0.92/1.34 [ 'c_in'( 'c_Pair'(
% 0.92/1.34 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1'( X, Y, Z, T ),
% 0.92/1.34 Y, T, T ), Z, 'tc_prod'( T, T ) ), 'c_in'( 'c_Pair'( X, Y, T, T ), Z,
% 0.92/1.34 'tc_prod'( T, T ) ), ~( 'c_in'( 'c_Pair'( X, Y, T, T ),
% 0.92/1.34 'c_Transitive__Closure_Otrancl'( Z, T ), 'tc_prod'( T, T ) ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X,
% 0.92/1.34 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1'( X, Y, Z, T ),
% 0.92/1.34 T, T ), 'c_Transitive__Closure_Otrancl'( Z, T ), 'tc_prod'( T, T ) ),
% 0.92/1.34 'c_in'( 'c_Pair'( X, Y, T, T ), Z, 'tc_prod'( T, T ) ), ~( 'c_in'(
% 0.92/1.34 'c_Pair'( X, Y, T, T ), 'c_Transitive__Closure_Otrancl'( Z, T ),
% 0.92/1.34 'tc_prod'( T, T ) ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'(
% 0.92/1.34 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1'( X, Y, Z, T )
% 0.92/1.34 , Z, T, T ), X, 'tc_prod'( T, T ) ), ~( 'c_in'( 'c_Pair'( Y, Z, T, T ),
% 0.92/1.34 'c_Transitive__Closure_Otrancl'( X, T ), 'tc_prod'( T, T ) ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X,
% 0.92/1.34 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1'( Y, X
% 0.92/1.34 , Z, T ), T, T ), Y, 'tc_prod'( T, T ) ), 'c_in'( 'c_Pair'( X, Z, T, T )
% 0.92/1.34 , Y, 'tc_prod'( T, T ) ), ~( 'c_in'( 'c_Pair'( X, Z, T, T ),
% 0.92/1.34 'c_Transitive__Closure_Otrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( 'v_sko__Transitive__Closure__Xtrancl__Xcases__1'( X
% 0.92/1.34 , Y, Z ), Y, 't_a', 't_a' ), Z, 'tc_prod'( 't_a', 't_a' ) ), 'c_in'(
% 0.92/1.34 'c_Pair'( X, Y, 't_a', 't_a' ), Z, 'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'(
% 0.92/1.34 'c_Pair'( X, Y, 't_a', 't_a' ), 'c_Transitive__Closure_Otrancl'( Z, 't_a'
% 0.92/1.34 ), 'tc_prod'( 't_a', 't_a' ) ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'(
% 0.92/1.34 'c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1'( X, Y, Z, T, U, W,
% 0.92/1.34 V0 ), Y, V0, W ), T, 'tc_prod'( V0, W ) ), ~( 'c_in'( 'c_Pair'( X, Y, U,
% 0.92/1.34 W ), 'c_Relation_Orel__comp'( Z, T, U, V0, W ), 'tc_prod'( U, W ) ) ) ]
% 0.92/1.34 ,
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X,
% 0.92/1.34 'c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1'( X, Y, Z, T, U, W,
% 0.92/1.34 V0 ), U, V0 ), Z, 'tc_prod'( U, V0 ) ), ~( 'c_in'( 'c_Pair'( X, Y, U, W )
% 0.92/1.34 , 'c_Relation_Orel__comp'( Z, T, U, V0, W ), 'tc_prod'( U, W ) ) ) ],
% 0.92/1.34 [ 'c_in'( X, 'c_FuncSet_OPi'( Y, Z, T, U ), 'tc_fun'( T, U ) ), 'c_in'(
% 0.92/1.34 'c_FuncSet_Osko__FuncSet__XPi__I__1__1'( Y, Z, X, T, U ), Y, T ) ],
% 0.92/1.34 [ 'c_in'( X, 'c_FuncSet_OPi'( Y, Z, T, U ), 'tc_fun'( T, U ) ), 'c_in'(
% 0.92/1.34 'c_FuncSet_Osko__FuncSet__XPi__I_H__1__1'( Y, Z, X, T, U ), Y, T ) ],
% 0.92/1.34 [ 'c_in'( X, 'c_FuncSet_OPi'( Y, Z, T, U ), 'tc_fun'( T, U ) ), ~(
% 0.92/1.34 'c_in'( hAPP( X, 'c_FuncSet_Osko__FuncSet__XPi__I__1__1'( Y, Z, X, T, U )
% 0.92/1.34 ), hAPP( Z, 'c_FuncSet_Osko__FuncSet__XPi__I__1__1'( Y, Z, X, T, U ) ),
% 0.92/1.34 U ) ) ],
% 0.92/1.34 [ 'c_in'( hAPP( X, Y ), Z, T ), ~( 'c_in'( Y, U, W ) ), ~( 'c_in'( X,
% 0.92/1.34 'c_FuncSet_OPi'( U, 'c_COMBK'( Z, 'tc_fun'( T, 'tc_bool' ), W ), W, T ),
% 0.92/1.34 'tc_fun'( W, T ) ) ) ],
% 0.92/1.34 [ 'c_in'( X, 'c_FuncSet_OPi'( Y, Z, T, U ), 'tc_fun'( T, U ) ), ~(
% 0.92/1.34 'c_in'( hAPP( X, 'c_FuncSet_Osko__FuncSet__XPi__I_H__1__1'( Y, Z, X, T, U
% 0.92/1.34 ) ), hAPP( Z, 'c_FuncSet_Osko__FuncSet__XPi__I_H__1__1'( Y, Z, X, T, U )
% 0.92/1.34 ), U ) ) ],
% 0.92/1.34 [ =( X, 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XIdE__1__1'( X, Y ),
% 0.92/1.34 'c_ATP__Linkup_Osko__Relation__XIdE__1__1'( X, Y ), Y, Y ) ), ~( 'c_in'(
% 0.92/1.34 X, 'c_Relation_OId'( Y ), 'tc_prod'( Y, Y ) ) ) ],
% 0.92/1.34 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_in'(
% 0.92/1.34 'c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1'( X, Y ),
% 0.92/1.34 'c_Wellfounded_Oacc'( X, Y ), Y ) ) ],
% 0.92/1.34 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_in'(
% 0.92/1.34 'c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1'( X, Y ),
% 0.92/1.34 'c_Wellfounded_Oacc'( X, Y ), Y ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1'( X, Y, Z ), X,
% 0.92/1.34 Z ), ~( 'c_in'( Y, 'c_Relation_OId__on'( X, Z ), 'tc_prod'( Z, Z ) ) ) ]
% 0.92/1.34 ,
% 0.92/1.34 [ =( X, 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1'( Y, X,
% 0.92/1.34 Z ), 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1'( Y, X, Z ), Z, Z ) )
% 0.92/1.34 , ~( 'c_in'( X, 'c_Relation_OId__on'( Y, Z ), 'tc_prod'( Z, Z ) ) ) ]
% 0.92/1.34 ,
% 0.92/1.34 [ =( 'c_Recdef_Ocut'( X, Y, Z, T, U ), 'c_Recdef_Ocut'( W, Y, Z, T, U )
% 0.92/1.34 ), 'c_in'( 'c_Pair'( 'c_List_Osko__Recdef__Xcuts__eq__1__1'( X, W, Y, Z
% 0.92/1.34 , T, U ), Z, T, T ), Y, 'tc_prod'( T, T ) ) ],
% 0.92/1.34 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.34 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 0.92/1.34 'tc_prod'( Y, Y ), 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.92/1.34 ) ) ],
% 0.92/1.34 [ =( 'c_Transitive__Closure_Otrancl'(
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 0.92/1.34 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.92/1.34 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.92/1.34 [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.92/1.34 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 0.92/1.34 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.92/1.34 [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_OId'( Y ),
% 0.92/1.34 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( X, Y ), X, Y,
% 0.92/1.34 Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.92/1.34 [ 'c_lessequals'( X, 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X
% 0.92/1.34 , Y, Y ), X, Y, Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~(
% 0.92/1.34 'c_Relation_Orefl__on'( Z, X, Y ) ) ],
% 0.92/1.34 [ =( 'c_Relation_ORange'( 'v_r', 't_a', 't_b' ), 'c_Relation_ODomain'(
% 0.92/1.34 'c_Relation_Oconverse'( 'v_r', 't_a', 't_b' ), 't_b', 't_a' ) ) ],
% 0.92/1.34 [ 'c_Relation_Oirrefl'( X, Y ), 'c_in'( 'c_Pair'(
% 0.92/1.34 'c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1'( X, Y ),
% 0.92/1.34 'c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1'( X, Y ), Y, Y ), X,
% 0.92/1.34 'tc_prod'( Y, Y ) ) ],
% 0.92/1.34 [ =( 'c_Relation_OImage'( X,
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.92/1.34 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.92/1.34 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 0.92/1.34 'tc_fun'( U, 'tc_bool' ) ) ), ~( 'c_Relation_Osingle__valued'(
% 0.92/1.34 'c_Relation_Oconverse'( X, T, U ), U, T ) ) ],
% 0.92/1.34 [ 'c_Relation_Otrans'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Relation_OId'(
% 0.92/1.34 Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ), ~(
% 0.92/1.34 'c_Relation_Oantisym'( X, Y ) ), ~( 'c_Relation_Otrans'( X, Y ) ) ],
% 0.92/1.34 [ 'c_Arrow__Order__Mirabelle_OIIA'( X ), 'c_in'(
% 0.92/1.34 'v_sko__Arrow__Order__Mirabelle__XIIA__def__2'( X ),
% 0.92/1.34 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.92/1.34 'tc_bool' ) ) ) ],
% 0.92/1.34 [ 'c_Arrow__Order__Mirabelle_OIIA'( X ), 'c_in'(
% 0.92/1.34 'v_sko__Arrow__Order__Mirabelle__XIIA__def__3'( X ),
% 0.92/1.34 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.92/1.34 'tc_bool' ) ) ) ],
% 0.92/1.34 [ 'c_Nitpick_Orefl_H'( X, Y ), ~( 'c_in'( 'c_Pair'(
% 0.92/1.34 'c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1'( X, Y ),
% 0.92/1.34 'c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1'( X, Y ), Y, Y ), X,
% 0.92/1.34 'tc_prod'( Y, Y ) ) ) ],
% 0.92/1.34 [ 'c_Arrow__Order__Mirabelle_Odictator'( X, Y ), 'c_in'(
% 0.92/1.34 'v_sko__Arrow__Order__Mirabelle__Xdictator__def__1'( X, Y ),
% 0.92/1.34 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.92/1.34 'tc_bool' ) ) ) ],
% 0.92/1.34 [ 'c_Order__Relation_Ostrict__linear__order__on'( X, Y, Z ), ~(
% 0.92/1.34 'c_Relation_Ototal__on'( X, Y, Z ) ), ~( 'c_Relation_Oirrefl'( Y, Z ) ),
% 0.92/1.34 ~( 'c_Relation_Otrans'( Y, Z ) ) ],
% 0.92/1.34 [ 'c_Arrow__Order__Mirabelle_Ounanimity'( X ), 'c_in'(
% 0.92/1.34 'v_sko__Arrow__Order__Mirabelle__Xunanimity__def__2'( X ),
% 0.92/1.34 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.92/1.34 'tc_bool' ) ) ) ],
% 0.92/1.34 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( 'c_Pair'( X,
% 0.92/1.34 'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1'( Y, T, Z ), Z, Z ), T
% 0.92/1.34 , 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( U, Y, Z ) ), ~( 'c_Wellfounded_Owf'(
% 0.92/1.34 T, Z ) ) ],
% 0.92/1.34 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( 'c_Pair'( X,
% 0.92/1.34 'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1'( Y, T, Z ), Z,
% 0.92/1.34 Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( U, Y, Z ) ), ~(
% 0.92/1.34 'c_Wellfounded_Owf'( T, Z ) ) ],
% 0.92/1.34 [ 'c_in'( hAPP( hAPP( X, Y ), Z ), 'c_Set_Oimage'( 'c_split'( X, T, U, W
% 0.92/1.34 ), V0, 'tc_prod'( T, U ), W ), W ), ~( 'c_in'( 'c_Pair'( Y, Z, T, U ),
% 0.92/1.34 V0, 'tc_prod'( T, U ) ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XImageE__1__1'( X, Y
% 0.92/1.34 , Z, T, U ), Y, T, U ), Z, 'tc_prod'( T, U ) ), ~( 'c_in'( Y,
% 0.92/1.34 'c_Relation_OImage'( Z, X, T, U ), U ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1'( X
% 0.92/1.34 , Y, Z, T, U ), Y, T, U ), Z, 'tc_prod'( T, U ) ), ~( 'c_in'( Y,
% 0.92/1.34 'c_Relation_OImage'( Z, X, T, U ), U ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, 'c_ATP__Linkup_Osko__Relation__XDomainE__1__1'( X
% 0.92/1.34 , Y, Z, T ), Z, T ), Y, 'tc_prod'( Z, T ) ), ~( 'c_in'( X,
% 0.92/1.34 'c_Relation_ODomain'( Y, Z, T ), Z ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X,
% 0.92/1.34 'c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1'( X, Y, Z, T ), Z, T )
% 0.92/1.34 , Y, 'tc_prod'( Z, T ) ), ~( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ),
% 0.92/1.34 Z ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'(
% 0.92/1.34 'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1'( X, Y, Z ), Y, Z
% 0.92/1.34 , Z ), X, 'tc_prod'( Z, Z ) ), 'c_in'( Y, 'c_Wellfounded_Oacc'( X, Z ), Z
% 0.92/1.34 ) ],
% 0.92/1.34 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 0.92/1.34 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, T, U ), U
% 0.92/1.34 , U ), T, 'tc_prod'( U, U ) ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( T, U
% 0.92/1.34 ), U ) ) ],
% 0.92/1.34 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 0.92/1.34 'v_sko__Wellfounded__Xacc__Xinduct__1'( X, T ), 't_a', 't_a' ), T,
% 0.92/1.34 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( T,
% 0.92/1.34 't_a' ), 't_a' ) ) ],
% 0.92/1.34 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), 'c_in'( 'c_Pair'(
% 0.92/1.34 'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1'( Y, X, Z ), X, Z,
% 0.92/1.34 Z ), Y, 'tc_prod'( Z, Z ) ) ],
% 0.92/1.34 [ hBOOL( hAPP( X, Y ) ), 'c_in'( Z, 'c_Wellfounded_Oacc'( T, 't_a' ),
% 0.92/1.34 't_a' ), ~( 'c_in'( 'c_Pair'( Z, 'v_sko__Wellfounded__Xacc__Xinducts__1'(
% 0.92/1.34 X, T ), 't_a', 't_a' ), T, 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( Y,
% 0.92/1.34 'c_Wellfounded_Oacc'( T, 't_a' ), 't_a' ) ) ],
% 0.92/1.34 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 0.92/1.34 'v_sko__Wellfounded__Xacc__Xinducts__1'( X, T ), 't_a', 't_a' ), T,
% 0.92/1.34 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( T,
% 0.92/1.34 't_a' ), 't_a' ) ) ],
% 0.92/1.34 [ hBOOL( hAPP( X, Y ) ), 'c_in'( Z, 'c_Wellfounded_Oacc'( T, 't_a' ),
% 0.92/1.34 't_a' ), ~( 'c_in'( 'c_Pair'( Z, 'v_sko__Wellfounded__Xacc__Xinduct__1'(
% 0.92/1.34 X, T ), 't_a', 't_a' ), T, 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( Y,
% 0.92/1.34 'c_Wellfounded_Oacc'( T, 't_a' ), 't_a' ) ) ],
% 0.92/1.34 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 0.92/1.34 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, T, U ), U, U )
% 0.92/1.34 , T, 'tc_prod'( U, U ) ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( T, U ), U
% 0.92/1.34 ) ) ],
% 0.92/1.34 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T
% 0.92/1.34 , Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_Wellfounded_Owf'( 'c_Set_Oinsert'(
% 0.92/1.34 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ) ],
% 0.92/1.34 [ 'c_Wellfounded_Owf'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, Z ), T,
% 0.92/1.34 'tc_prod'( Z, Z ) ), Z ), 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.92/1.34 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ), ~(
% 0.92/1.34 'c_Wellfounded_Owf'( T, Z ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XRangeE__1__1'( X, Y
% 0.92/1.34 , Z, T ), X, T, Z ), Y, 'tc_prod'( T, Z ) ), ~( 'c_in'( X,
% 0.92/1.34 'c_Relation_ORange'( Y, T, Z ), Z ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XRange__iff__1__1'( X
% 0.92/1.34 , Y, Z, T ), X, T, Z ), Y, 'tc_prod'( T, Z ) ), ~( 'c_in'( X,
% 0.92/1.34 'c_Relation_ORange'( Y, T, Z ), Z ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X,
% 0.92/1.34 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1'( Y, X, Z, T )
% 0.92/1.34 , T, T ), 'c_Transitive__Closure_Ortrancl'( Y, T ), 'tc_prod'( T, T ) ),
% 0.92/1.34 ~( 'c_in'( 'c_Pair'( X, Z, T, T ), 'c_Transitive__Closure_Otrancl'( Y, T
% 0.92/1.34 ), 'tc_prod'( T, T ) ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'(
% 0.92/1.34 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1'( X, Y, Z, T ),
% 0.92/1.34 Z, T, T ), 'c_Transitive__Closure_Ortrancl'( X, T ), 'tc_prod'( T, T ) )
% 0.92/1.34 , ~( 'c_in'( 'c_Pair'( Y, Z, T, T ), 'c_Transitive__Closure_Otrancl'( X,
% 0.92/1.34 T ), 'tc_prod'( T, T ) ) ) ],
% 0.92/1.34 [ ~( 'c_in'( 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 0.92/1.34 Y, Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_in'( Y,
% 0.92/1.34 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.92/1.34 'tc_bool' ) ) ), =( Z, T ) ],
% 0.92/1.34 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 ), =( X, T ), =( X, T ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin'
% 0.92/1.34 , 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( Y, T ), 'c_in'(
% 0.92/1.34 'c_Pair'( X, T, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 0.92/1.34 Z, Y, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ],
% 0.92/1.34 [ =( X, Y ), =( X, Z ), ~( 'c_in'( T, 'c_Arrow__Order__Mirabelle_OLin',
% 0.92/1.34 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( X, Y ), 'c_in'(
% 0.92/1.34 'c_Pair'( X, Z, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 0.92/1.34 T, X, Y ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Z,
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), T
% 0.92/1.34 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 , =( Y, T ), =( X, T ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.92/1.34 'c_Arrow__Order__Mirabelle_Oabove'( Z, U, T ), 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.92/1.34 'tc_bool' ) ) ), =( U, T ) ],
% 0.92/1.34 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.92/1.34 'c_Arrow__Order__Mirabelle_Oabove'( Z, T, Y ), 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.92/1.34 'tc_bool' ) ) ), =( T, Y ), 'c_in'( 'c_Pair'( X, T,
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.92/1.34 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ), =( X, T ) ],
% 0.92/1.34 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 0.92/1.34 Z, T, X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_in'( Z,
% 0.92/1.34 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.92/1.34 'tc_bool' ) ) ), =( T, X ), 'c_in'( 'c_Pair'( T, Y,
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.92/1.34 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 0.92/1.34 Z, T, U ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.92/1.34 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_in'( 'c_Pair'( X, T,
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.92/1.34 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_in'( 'c_Pair'( T, Y,
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.92/1.34 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( X, Y ), ~( 'c_in'( Z,
% 0.92/1.34 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.92/1.34 'tc_bool' ) ) ), =( T, U ) ],
% 0.92/1.34 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 ), =( X, Y ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'(
% 0.92/1.34 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( X, Y ), 'c_in'(
% 0.92/1.34 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 0.92/1.34 Z, X, Y ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ],
% 0.92/1.34 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 ), =( T, Y ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'(
% 0.92/1.34 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( X, T ), 'c_in'(
% 0.92/1.34 'c_Pair'( T, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 0.92/1.34 Z, X, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 0.92/1.34 Z, T, U ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.92/1.34 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( Y, U ), =( X, U ), =( X, Y )
% 0.92/1.34 , ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.92/1.34 'tc_bool' ) ) ), =( T, U ) ],
% 0.92/1.34 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 ), ~( 'c_in'( 'c_Pair'( Y, T, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 ), =( X, T ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'(
% 0.92/1.34 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( Y, T ), 'c_in'(
% 0.92/1.34 'c_Pair'( X, T, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 0.92/1.34 Z, Y, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ],
% 0.92/1.34 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 ), =( X, Y ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'(
% 0.92/1.34 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( X, T ), 'c_in'(
% 0.92/1.34 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 0.92/1.34 Z, X, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.92/1.34 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 0.92/1.34 Z, T, U ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.92/1.34 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( Y, U ), ~( 'c_in'( 'c_Pair'(
% 0.92/1.34 T, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 ), =( X, Y ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'(
% 0.92/1.34 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( T, U ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 0.92/1.34 Z, T, U ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.92/1.34 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_in'( 'c_Pair'( X, T,
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.92/1.34 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( X, U ), =( X, Y ), ~( 'c_in'(
% 0.92/1.34 Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.92/1.34 'tc_bool' ) ) ), =( T, U ) ],
% 0.92/1.34 [ =( X, Y ), =( X, Y ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin',
% 0.92/1.34 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( X, Y ), 'c_in'(
% 0.92/1.34 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Oabove'(
% 0.92/1.34 Z, X, Y ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ],
% 0.92/1.34 [ 'c_lessequals'( 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X, Y
% 0.92/1.34 , Y ), X, Y, Y, Y ), X, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~(
% 0.92/1.34 'c_Relation_Otrans'( X, Y ) ), ~( 'c_Relation_Osym'( X, Y ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_COMBK'( X, 'tc_fun'( 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.92/1.34 'tc_bool' ), 'tc_Arrow__Order__Mirabelle_Oindi' ),
% 0.92/1.34 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.92/1.34 'tc_bool' ) ) ), ~( 'c_in'( X, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'(
% 0.92/1.34 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ) ],
% 0.92/1.34 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( Z, T, U, U ), W, 'tc_prod'( U, U ) ) )
% 0.92/1.34 , ~( 'c_in'( T, Y, U ) ), ~( 'c_in'( Z, X, U ) ), ~( 'c_in'( Y,
% 0.92/1.34 'c_Equiv__Relations_Oquotient'( V0, W, U ), 'tc_fun'( U, 'tc_bool' ) ) )
% 0.92/1.34 , ~( 'c_in'( X, 'c_Equiv__Relations_Oquotient'( V0, W, U ), 'tc_fun'( U,
% 0.92/1.34 'tc_bool' ) ) ), ~( 'c_Equiv__Relations_Oequiv'( V0, W, U ) ) ],
% 0.92/1.34 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( T, Y, Z ) ), ~( 'c_in'( Y,
% 0.92/1.34 'c_Equiv__Relations_Oquotient'( U, W, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ),
% 0.92/1.34 ~( 'c_in'( Y, 'c_Equiv__Relations_Oquotient'( U, W, Z ), 'tc_fun'( Z,
% 0.92/1.34 'tc_bool' ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, W, Z ) ), 'c_in'(
% 0.92/1.34 'c_Pair'( T, X, Z, Z ), W, 'tc_prod'( Z, Z ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( hAPP( hAPP(
% 0.92/1.34 'c_Arrow__Order__Mirabelle_Obelow', Z ), T ), U ), 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 , ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 ), ~( 'c_in'( 'c_Pair'( U, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 ), =( Y, T ), =( X, Y ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin'
% 0.92/1.34 , 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( T, U ) ],
% 0.92/1.34 [ =( X, Y ), =( Y, X ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin',
% 0.92/1.34 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( Y, X ), 'c_in'(
% 0.92/1.34 'c_Pair'( Y, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( hAPP( hAPP(
% 0.92/1.34 'c_Arrow__Order__Mirabelle_Obelow', Z ), Y ), X ), 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 ],
% 0.92/1.34 [ ~( 'c_in'( 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( hAPP( hAPP(
% 0.92/1.34 'c_Arrow__Order__Mirabelle_Obelow', Y ), Z ), T ), 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 ), ~( 'c_in'( Y, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.92/1.34 'tc_bool' ) ) ), =( Z, T ) ],
% 0.92/1.34 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 ), =( Y, T ), =( T, Y ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin'
% 0.92/1.34 , 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( T, X ), 'c_in'(
% 0.92/1.34 'c_Pair'( T, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( hAPP( hAPP(
% 0.92/1.34 'c_Arrow__Order__Mirabelle_Obelow', Z ), T ), X ), 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 ],
% 0.92/1.34 [ =( X, Y ), =( Z, X ), ~( 'c_in'( T, 'c_Arrow__Order__Mirabelle_OLin',
% 0.92/1.34 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( Y, X ), 'c_in'(
% 0.92/1.34 'c_Pair'( Z, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( hAPP( hAPP(
% 0.92/1.34 'c_Arrow__Order__Mirabelle_Obelow', T ), Y ), X ), 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 , ~( 'c_in'( 'c_Pair'( Z, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), T, 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 , =( X, T ), =( Y, T ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.92/1.34 hAPP( hAPP( hAPP( 'c_Arrow__Order__Mirabelle_Obelow', Z ), T ), U ),
% 0.92/1.34 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_in'( Z,
% 0.92/1.34 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.92/1.34 'tc_bool' ) ) ), =( T, U ) ],
% 0.92/1.34 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( Y, X,
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.92/1.34 hAPP( hAPP( hAPP( 'c_Arrow__Order__Mirabelle_Obelow', Z ), Y ), T ),
% 0.92/1.34 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_in'( Z,
% 0.92/1.34 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.92/1.34 'tc_bool' ) ) ), =( Y, T ), 'c_in'( 'c_Pair'( T, X,
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.92/1.34 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ), =( X, T ) ],
% 0.92/1.34 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( hAPP( hAPP(
% 0.92/1.34 'c_Arrow__Order__Mirabelle_Obelow', Z ), Y ), T ), 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.92/1.34 'tc_bool' ) ) ), =( Y, T ), 'c_in'( 'c_Pair'( X, T,
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.92/1.34 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( hAPP( hAPP(
% 0.92/1.34 'c_Arrow__Order__Mirabelle_Obelow', Z ), T ), U ), 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 , ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 ), ~( 'c_in'( 'c_Pair'( U, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 ), ~( 'c_in'( 'c_Pair'( X, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 ), =( X, Y ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'(
% 0.92/1.34 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( T, U ) ],
% 0.92/1.34 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 ), =( X, Y ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'(
% 0.92/1.34 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( X, Y ), 'c_in'(
% 0.92/1.34 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( hAPP( hAPP(
% 0.92/1.34 'c_Arrow__Order__Mirabelle_Obelow', Z ), X ), Y ), 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 ],
% 0.92/1.34 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 ), =( X, T ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'(
% 0.92/1.34 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( T, Y ), 'c_in'(
% 0.92/1.34 'c_Pair'( X, T, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( hAPP( hAPP(
% 0.92/1.34 'c_Arrow__Order__Mirabelle_Obelow', Z ), T ), Y ), 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( hAPP( hAPP(
% 0.92/1.34 'c_Arrow__Order__Mirabelle_Obelow', Z ), T ), U ), 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 , ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 ), =( X, T ), ~( 'c_in'( 'c_Pair'( X, U,
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.92/1.34 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( X, Y ), ~( 'c_in'( Z,
% 0.92/1.34 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.92/1.34 'tc_bool' ) ) ), =( T, U ) ],
% 0.92/1.34 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 ), =( X, Y ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'(
% 0.92/1.34 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( T, Y ), 'c_in'(
% 0.92/1.34 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( hAPP( hAPP(
% 0.92/1.34 'c_Arrow__Order__Mirabelle_Obelow', Z ), T ), Y ), 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 , ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 ) ],
% 0.92/1.34 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 ), ~( 'c_in'( 'c_Pair'( T, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 ), =( T, Y ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'(
% 0.92/1.34 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( T, X ), 'c_in'(
% 0.92/1.34 'c_Pair'( T, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( hAPP( hAPP(
% 0.92/1.34 'c_Arrow__Order__Mirabelle_Obelow', Z ), T ), X ), 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 ],
% 0.92/1.34 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.92/1.34 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), 'c_in'(
% 0.92/1.34 X, 'c_Relation_ODomain'( T, Z, Z ), Z ) ],
% 0.92/1.34 [ 'c_in'( X, 'c_Relation_ODomain'( Y, Z, Z ), Z ), 'c_in'( 'c_Pair'( X,
% 0.92/1.34 X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) )
% 0.92/1.34 ],
% 0.92/1.34 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'( 'c_Pair'( X,
% 0.92/1.34 T, Z, Z ), 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) )
% 0.92/1.34 ), ~( 'c_in'( T, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ) ],
% 0.92/1.34 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'( T,
% 0.92/1.34 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~( 'c_in'( 'c_Pair'( X, T, Z, Z ),
% 0.92/1.34 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.92/1.34 [ 'c_Arrow__Order__Mirabelle_Ounanimity'( 'v_F' ) ],
% 0.92/1.34 [ 'c_Arrow__Order__Mirabelle_OIIA'( 'v_F' ) ],
% 0.92/1.34 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 ), ~( 'c_in'( 'c_Pair'( Y, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.92/1.34 'tc_bool' ) ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 , 'c_in'( 'c_Pair'( Y, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 , =( Y, X ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'(
% 0.92/1.34 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ) ],
% 0.92/1.34 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 ), ~( 'c_in'( 'c_Pair'( Y, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 ), =( X, Y ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'(
% 0.92/1.34 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ) ],
% 0.92/1.34 [ 'c_in'( X, 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z )
% 0.92/1.34 ), ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ) ],
% 0.92/1.34 [ 'c_in'( X, 'c_Transitive__Closure_Otrancl'( Y, Z ), 'tc_prod'( Z, Z )
% 0.92/1.34 ), ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.92/1.34 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.92/1.34 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.92/1.34 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.92/1.34 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'(
% 0.92/1.34 Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X, U, Z, Z ),
% 0.92/1.34 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.92/1.34 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.92/1.34 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), =( X, Y )
% 0.92/1.34 ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.92/1.34 ), 'tc_prod'( Z, Z ) ), =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.92/1.34 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.92/1.34 ), 'tc_prod'( Z, Z ) ), =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.92/1.34 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'(
% 0.92/1.34 'c_Relation_Oconverse'( T, Z, Z ), Z ), 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.92/1.34 'c_Pair'( Y, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ),
% 0.92/1.34 'tc_prod'( Z, Z ) ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.92/1.34 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.92/1.34 'c_Transitive__Closure_Ortrancl'( 'c_Relation_Oconverse'( T, Z, Z ), Z )
% 0.92/1.34 , 'tc_prod'( Z, Z ) ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.92/1.34 ), 'tc_prod'( Z, Z ) ), 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.92/1.34 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.92/1.34 'c_Pair'( U, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ),
% 0.92/1.34 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.92/1.34 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.92/1.34 'c_Relation_Osingle__valued'( T, Z, Z ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.92/1.34 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.92/1.34 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.92/1.34 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.92/1.34 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.92/1.34 'c_in'( 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ),
% 0.92/1.34 'tc_prod'( Z, Z ) ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.92/1.34 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.92/1.34 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_in'(
% 0.92/1.34 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ),
% 0.92/1.34 'tc_prod'( Z, Z ) ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_Oconverse'(
% 0.92/1.34 'c_Transitive__Closure_Otrancl'( T, Z ), Z, Z ), 'tc_prod'( Z, Z ) ), ~(
% 0.92/1.34 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.92/1.34 'c_Relation_Oconverse'( T, Z, Z ), Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.92/1.34 'c_Relation_Oconverse'( T, Z, Z ), Z ), 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.92/1.34 'c_Pair'( X, Y, Z, Z ), 'c_Relation_Oconverse'(
% 0.92/1.34 'c_Transitive__Closure_Otrancl'( T, Z ), Z, Z ), 'tc_prod'( Z, Z ) ) ) ]
% 0.92/1.34 ,
% 0.92/1.34 [ =( hAPP( 'c_split'( X, Y, Z, T ), 'c_Pair'( U, W, Y, Z ) ), hAPP( hAPP(
% 0.92/1.34 X, U ), W ) ) ],
% 0.92/1.34 [ =( hAPP( 'c_split'( X, Y, Z, T ), 'c_Pair'( U, W, Y, Z ) ), hAPP( hAPP(
% 0.92/1.34 X, U ), W ) ) ],
% 0.92/1.34 [ hBOOL( hAPP( hAPP( hAPP( X, Y ), Z ), T ) ), ~( hBOOL( hAPP( hAPP(
% 0.92/1.34 'c_split'( X, U, W, 'tc_fun'( V0, 'tc_bool' ) ), 'c_Pair'( Y, Z, U, W ) )
% 0.92/1.34 , T ) ) ) ],
% 0.92/1.34 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_Wellfounded_Owf'(
% 0.92/1.34 Y, Z ) ) ],
% 0.92/1.34 [ 'c_Relation_Osingle__valued'( 'c_Relation_OId__on'( X, Y ), Y, Y ) ]
% 0.92/1.34 ,
% 0.92/1.34 [ 'c_Relation_Osym'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ), ~(
% 0.92/1.34 'c_Relation_Osym'( X, Y ) ) ],
% 0.92/1.34 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), X ), ~(
% 0.92/1.34 'c_Relation_Otrans'( X, Y ) ) ],
% 0.92/1.34 [ 'c_Relation_Osym'( X, Y ), ~( 'c_Relation_Osym'(
% 0.92/1.34 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.92/1.34 [ 'c_Relation_Osym'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 0.92/1.34 'c_Relation_Osym'( X, Y ) ) ],
% 0.92/1.34 [ =( 'c_Relation_ODomain'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 0.92/1.34 ), 'c_Relation_ODomain'( X, Y, Y ) ) ],
% 0.92/1.34 [ 'c_Relation_Osym'( 'c_Relation_OId'( X ), X ) ],
% 0.92/1.34 [ 'c_Relation_Otrans'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.92/1.34 [ =( 'c_Relation_Orel__comp'( 'c_Relation_OId'( X ), Y, X, X, Z ), Y ) ]
% 0.92/1.34 ,
% 0.92/1.34 [ =( 'c_Relation_Orel__comp'( X, 'c_Relation_OId'( Y ), Z, Y, Y ), X ) ]
% 0.92/1.34 ,
% 0.92/1.34 [ 'c_Relation_Oantisym'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.92/1.34 [ 'c_Wellfounded_Owf'( 'c_Relation_Oconverse'(
% 0.92/1.34 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y ), Y ), ~(
% 0.92/1.34 'c_Wellfounded_Owf'( 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.92/1.34 [ 'c_Relation_Orefl__on'( X, Y, Z ), ~( 'c_Relation_Orefl__on'( X,
% 0.92/1.34 'c_Relation_Oconverse'( Y, Z, Z ), Z ) ) ],
% 0.92/1.34 [ 'c_Relation_Orefl__on'( X, 'c_Relation_Oconverse'( Y, Z, Z ), Z ), ~(
% 0.92/1.34 'c_Relation_Orefl__on'( X, Y, Z ) ) ],
% 0.92/1.34 [ 'c_Relation_Osym'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ), ~(
% 0.92/1.34 'c_Relation_Osym'( X, Y ) ) ],
% 0.92/1.34 [ 'c_Wellfounded_Owf'( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), Y ),
% 0.92/1.34 ~( 'c_Wellfounded_Owf'( X, Y ) ) ],
% 0.92/1.34 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_Wellfounded_Owf'(
% 0.92/1.34 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), Y ) ) ],
% 0.92/1.34 [ =( 'c_Relation_OImage'( 'c_Relation_OId'( X ), Y, X, X ), Y ) ],
% 0.92/1.34 [ 'c_Relation_Osingle__valued'( 'c_Relation_OId'( X ), X, X ) ],
% 0.92/1.34 [ =( 'c_Relation_ODomain'( 'c_Relation_OId__on'( X, Y ), Y, Y ), X ) ]
% 0.92/1.34 ,
% 0.92/1.34 [ =( 'c_Relation_Oconverse'( X, Y, Y ), X ), ~( 'c_Relation_Osym'( X, Y
% 0.92/1.34 ) ) ],
% 0.92/1.34 [ ~( =( 'c_Relation_Oconverse'( X, Y, Y ), X ) ), 'c_Relation_Osym'( X,
% 0.92/1.34 Y ) ],
% 0.92/1.34 [ =( 'c_Relation_ORange'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 0.92/1.34 ), 'c_Relation_ORange'( X, Y, Y ) ) ],
% 0.92/1.34 [ 'c_Relation_Otrans'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ) ]
% 0.92/1.34 ,
% 0.92/1.34 [ =( 'c_Relation_Oconverse'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ), Z
% 0.92/1.34 , U ), 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( Y, T, U ),
% 0.92/1.34 'c_Relation_Oconverse'( X, Z, T ), U, T, Z ) ) ],
% 0.92/1.34 [ 'c_Relation_Osym'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.92/1.34 [ 'c_Relation_Orefl__on'( X, 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.92/1.34 [ 'c_Wellfounded_Owf'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~(
% 0.92/1.34 'c_Wellfounded_Owf'( X, Z ) ) ],
% 0.92/1.34 [ =( 'c_Relation_Orel__comp'( X, 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.92/1.34 ), Y, Y, Y ), 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'(
% 0.92/1.34 X, Y ), X, Y, Y, Y ) ) ],
% 0.92/1.34 [ 'c_Relation_Osym'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~(
% 0.92/1.34 'c_Relation_Osym'( X, Z ) ) ],
% 0.92/1.34 [ =( 'c_Transitive__Closure_Otrancl'( 'c_Transitive__Closure_Ortrancl'(
% 0.92/1.34 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.92/1.34 [ 'c_Relation_Otrans'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ) ]
% 0.92/1.34 ,
% 0.92/1.34 [ 'c_Relation_Otrans'( X, Y ), ~( 'c_Relation_Otrans'(
% 0.92/1.34 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.92/1.34 [ 'c_Relation_Otrans'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 0.92/1.34 'c_Relation_Otrans'( X, Y ) ) ],
% 0.92/1.34 [ =( 'c_Relation_Oconverse'( 'c_Relation_OId'( X ), X, X ),
% 0.92/1.34 'c_Relation_OId'( X ) ) ],
% 0.92/1.34 [ 'c_Wellfounded_Owf'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ), ~(
% 0.92/1.34 'c_Wellfounded_Owf'( X, Y ) ) ],
% 0.92/1.34 [ =( 'c_Relation_Orel__comp'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 0.92/1.34 W, Z, U, V0 ), 'c_Relation_Orel__comp'( X, 'c_Relation_Orel__comp'( Y, W
% 0.92/1.34 , T, U, V0 ), Z, T, V0 ) ) ],
% 0.92/1.34 [ =( 'c_Relation_Oconverse'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T,
% 0.92/1.34 T ), 'c_Relation_Oinv__image'( 'c_Relation_Oconverse'( X, Z, Z ), Y, Z, T
% 0.92/1.34 ) ) ],
% 0.92/1.34 [ =( 'c_Transitive__Closure_Otrancl'( 'c_Relation_Oconverse'( X, Y, Y )
% 0.92/1.34 , Y ), 'c_Relation_Oconverse'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y
% 0.92/1.34 , Y ) ) ],
% 0.92/1.34 [ 'c_Relation_Otrans'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~(
% 0.92/1.34 'c_Relation_Otrans'( X, Z ) ) ],
% 0.92/1.34 [ =( 'c_Relation_Oconverse'( 'c_Relation_OId__on'( X, Y ), Y, Y ),
% 0.92/1.34 'c_Relation_OId__on'( X, Y ) ) ],
% 0.92/1.34 [ ~( =( 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X, Y, Y ), X, Y
% 0.92/1.34 , Y, Y ), X ) ), 'c_Equiv__Relations_Oequiv'( 'c_Relation_ODomain'( X, Y
% 0.92/1.34 , Y ), X, Y ) ],
% 0.92/1.34 [ 'c_Relation_Oantisym'( 'c_Relation_OId'( X ), X ) ],
% 0.92/1.34 [ =( 'c_Relation_ORange'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 0.92/1.34 'c_Relation_ODomain'( X, Y, Z ) ) ],
% 0.92/1.34 [ =( 'c_Relation_ORange'( 'c_Relation_OId__on'( X, Y ), Y, Y ), X ) ]
% 0.92/1.34 ,
% 0.92/1.34 [ 'c_Relation_Osingle__valued'( 'c_Relation_Orel__comp'( X, Y, Z, T, U )
% 0.92/1.34 , Z, U ), ~( 'c_Relation_Osingle__valued'( Y, T, U ) ), ~(
% 0.92/1.34 'c_Relation_Osingle__valued'( X, Z, T ) ) ],
% 0.92/1.34 [ =( 'c_Relation_Oconverse'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 0.92/1.34 X ) ],
% 0.92/1.34 [ 'c_Relation_Otrans'( 'c_Relation_OId'( X ), X ) ],
% 0.92/1.34 [ =( 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X, Y, Y ), X, Y, Y
% 0.92/1.34 , Y ), X ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y ) ) ],
% 0.92/1.34 [ =( 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.92/1.34 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ),
% 0.92/1.34 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.92/1.34 [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'(
% 0.92/1.34 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.92/1.34 [ 'c_Relation_Oantisym'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 0.92/1.34 'c_Relation_Oantisym'( X, Y ) ) ],
% 0.92/1.34 [ 'c_Relation_Orefl__on'( X, Y, Z ), ~( 'c_Equiv__Relations_Oequiv'( X,
% 0.92/1.34 Y, Z ) ) ],
% 0.92/1.34 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Relation_Oconverse'( X, Y, Y )
% 0.92/1.34 , Y ), 'c_Relation_Oconverse'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.92/1.34 Y, Y ) ) ],
% 0.92/1.34 [ 'c_Relation_Osym'( X, Y ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y ) )
% 0.92/1.34 ],
% 0.92/1.34 [ 'c_in'( hAPP( hAPP( hAPP( 'c_Arrow__Order__Mirabelle_Obelow', X ), Y )
% 0.92/1.34 , Z ), 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.92/1.34 'tc_bool' ) ), ~( 'c_in'( X, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'(
% 0.92/1.34 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), =( Y, Z ) ],
% 0.92/1.34 [ 'c_Equiv__Relations_Ocongruent'( X, hAPP( Y, Z ), T, U ), ~( 'c_in'( Z
% 0.92/1.34 , W, V0 ) ), ~( 'c_Equiv__Relations_Ocongruent2'( V1, X, Y, V0, T, U ) )
% 0.92/1.34 , ~( 'c_Equiv__Relations_Oequiv'( W, V1, V0 ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Arrow__Order__Mirabelle_Omkbot'( X, Y ),
% 0.92/1.34 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.92/1.34 'tc_bool' ) ), ~( 'c_in'( X, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'(
% 0.92/1.34 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Arrow__Order__Mirabelle_Omktop'( X, Y ),
% 0.92/1.34 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.92/1.34 'tc_bool' ) ), ~( 'c_in'( X, 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'(
% 0.92/1.34 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ) ],
% 0.92/1.34 [ 'c_in'( 'v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1'( X, Y ),
% 0.92/1.34 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.92/1.34 'tc_bool' ) ), =( X, Y ) ],
% 0.92/1.34 [ =( 'c_Relation_ODomain'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 0.92/1.34 'c_Relation_ORange'( X, Y, Z ) ) ],
% 0.92/1.34 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_Orel__comp'(
% 0.92/1.34 'c_Transitive__Closure_Ortrancl'( X, Y ), X, Y, Y, Y ) ) ],
% 0.92/1.34 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_Orel__comp'( X
% 0.92/1.34 , 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ) ) ],
% 0.92/1.34 [ =( 'c_Relation_ORange'( X, Y, Z ), 'c_Relation_ODomain'(
% 0.92/1.34 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ) ) ],
% 0.92/1.34 [ 'c_Relation_Ototal__on'( X, Y, Z ), ~( 'c_Relation_Ototal__on'( X,
% 0.92/1.34 'c_Relation_Oconverse'( Y, Z, Z ), Z ) ) ],
% 0.92/1.34 [ 'c_Relation_Ototal__on'( X, 'c_Relation_Oconverse'( Y, Z, Z ), Z ),
% 0.92/1.34 ~( 'c_Relation_Ototal__on'( X, Y, Z ) ) ],
% 0.92/1.34 [ 'c_Relation_Otrans'( X, Y ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y )
% 0.92/1.34 ) ],
% 0.92/1.34 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Transitive__Closure_Otrancl'(
% 0.92/1.34 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.92/1.34 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Transitive__Closure_Ortrancl'(
% 0.92/1.34 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( hAPP( hAPP(
% 0.92/1.34 'c_Arrow__Order__Mirabelle_Obelow', Z ), T ), U ), 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 , ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 ), =( X, T ), =( Y, T ), =( X, Y ), ~( 'c_in'( Z,
% 0.92/1.34 'c_Arrow__Order__Mirabelle_OLin', 'tc_fun'( 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.92/1.34 'tc_bool' ) ) ), =( T, U ) ],
% 0.92/1.34 [ 'c_in'( X, hAPP( 'c_split'( Y, Z, T, 'tc_fun'( U, 'tc_bool' ) ),
% 0.92/1.34 'c_Pair'( W, V0, Z, T ) ), U ), ~( 'c_in'( X, hAPP( hAPP( Y, W ), V0 ), U
% 0.92/1.34 ) ) ],
% 0.92/1.34 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, T ), U ) ), ~( 'c_in'(
% 0.92/1.34 'c_Pair'( Z, U, W, W ), V0, 'tc_prod'( W, W ) ) ), ~( 'c_in'( 'c_Pair'( Y
% 0.92/1.34 , T, V1, V1 ), V2, 'tc_prod'( V1, V1 ) ) ), ~(
% 0.92/1.34 'c_Equiv__Relations_Ocongruent2'( V2, V0, X, V1, W, V3 ) ) ],
% 0.92/1.34 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( Z, Y, T, U ), W, 'tc_prod'( T, U ) ) )
% 0.92/1.34 , ~( 'c_in'( 'c_Pair'( Z, X, T, U ), W, 'tc_prod'( T, U ) ) ), ~(
% 0.92/1.34 'c_Relation_Osingle__valued'( W, T, U ) ) ],
% 0.92/1.34 [ =( hAPP( 'c_Recdef_Ocut'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), ~(
% 0.92/1.34 'c_in'( 'c_Pair'( W, Z, T, T ), Y, 'tc_prod'( T, T ) ) ) ],
% 0.92/1.34 [ =( hAPP( 'c_Recdef_Ocut'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), ~(
% 0.92/1.34 'c_in'( 'c_Pair'( W, Z, T, T ), Y, 'tc_prod'( T, T ) ) ) ],
% 0.92/1.34 [ 'c_FunDef_Oin__rel'( X, Y, Z, T, U ), ~( 'c_in'( 'c_Pair'( Y, Z, T, U
% 0.92/1.34 ), X, 'tc_prod'( T, U ) ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ), ~(
% 0.92/1.34 'c_FunDef_Oin__rel'( U, X, Y, Z, T ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.92/1.34 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X
% 0.92/1.34 , U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_Relation_Otrans'( T, Z ) ) ]
% 0.92/1.34 ,
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.92/1.34 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X
% 0.92/1.34 , U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_Relation_Otrans'( T, Z ) ) ]
% 0.92/1.34 ,
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Oconverse'( U, T, Z ),
% 0.92/1.34 'tc_prod'( Z, T ) ), ~( 'c_in'( 'c_Pair'( Y, X, T, Z ), U, 'tc_prod'( T,
% 0.92/1.34 Z ) ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Oconverse'( U, T, Z ),
% 0.92/1.34 'tc_prod'( Z, T ) ), ~( 'c_in'( 'c_Pair'( Y, X, T, Z ), U, 'tc_prod'( T,
% 0.92/1.34 Z ) ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ), ~( 'c_in'(
% 0.92/1.34 'c_Pair'( Y, X, T, Z ), 'c_Relation_Oconverse'( U, Z, T ), 'tc_prod'( T,
% 0.92/1.34 Z ) ) ) ],
% 0.92/1.34 [ ~( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ), ~(
% 0.92/1.34 'c_Relation_Oirrefl'( Z, Y ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.92/1.34 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'(
% 0.92/1.34 Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X, U, Z, Z ),
% 0.92/1.34 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.92/1.34 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.92/1.34 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_in'(
% 0.92/1.34 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.92/1.34 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'(
% 0.92/1.34 Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X, U, Z, Z ),
% 0.92/1.34 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.92/1.34 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.92/1.34 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.92/1.34 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.92/1.34 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'(
% 0.92/1.34 Z, Z ) ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.92/1.34 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.92/1.34 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.92/1.34 'c_in'( 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z )
% 0.92/1.34 , 'tc_prod'( Z, Z ) ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Transitive__Closure_Ortrancl'( Z, Y
% 0.92/1.34 ), 'tc_prod'( Y, Y ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Transitive__Closure_Ortrancl'( Z, Y
% 0.92/1.34 ), 'tc_prod'( Y, Y ) ) ],
% 0.92/1.34 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'(
% 0.92/1.34 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_Wellfounded_Owf'(
% 0.92/1.34 T, Z ) ) ],
% 0.92/1.34 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) )
% 0.92/1.34 , ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 0.92/1.34 'c_Relation_Oantisym'( T, Z ) ) ],
% 0.92/1.34 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) )
% 0.92/1.34 , ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 0.92/1.34 'c_Relation_Oantisym'( T, Z ) ) ],
% 0.92/1.34 [ =( hAPP( X, Y ), hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Y, Z, T, T ), U
% 0.92/1.34 , 'tc_prod'( T, T ) ) ), ~( 'c_Equiv__Relations_Ocongruent'( U, X, T, W )
% 0.92/1.34 ) ],
% 0.92/1.34 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId__on'( T
% 0.92/1.34 , Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.92/1.34 [ ~( =( 'c_Recdef_Ocut'( X, Y, Z, T, U ), 'c_Recdef_Ocut'( W, Y, Z, T, U
% 0.92/1.34 ) ) ), =( hAPP( X, V0 ), hAPP( W, V0 ) ), ~( 'c_in'( 'c_Pair'( V0, Z, T
% 0.92/1.34 , T ), Y, 'tc_prod'( T, T ) ) ) ],
% 0.92/1.34 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId'( Z ),
% 0.92/1.34 'tc_prod'( Z, Z ) ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ), ~(
% 0.92/1.34 'c_Nitpick_Orefl_H'( Z, Y ) ) ],
% 0.92/1.34 [ ~( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ), ~(
% 0.92/1.34 'c_Wellfounded_Owf'( Z, Y ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_Oinv__image'( T, U, W, Z )
% 0.92/1.34 , 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( hAPP( U, X ), hAPP( U, Y ), W
% 0.92/1.34 , W ), T, 'tc_prod'( W, W ) ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( hAPP( X, Y ), hAPP( X, Z ), T, T ), U, 'tc_prod'( T
% 0.92/1.34 , T ) ), ~( 'c_in'( 'c_Pair'( Y, Z, W, W ), 'c_Relation_Oinv__image'( U,
% 0.92/1.34 X, T, W ), 'tc_prod'( W, W ) ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.92/1.34 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_Relation_Osym'( T
% 0.92/1.34 , Z ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.92/1.34 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_Relation_Osym'( T
% 0.92/1.34 , Z ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Orel__comp'( U, W, Z, V0,
% 0.92/1.34 T ), 'tc_prod'( Z, T ) ), ~( 'c_in'( 'c_Pair'( V1, Y, V0, T ), W,
% 0.92/1.34 'tc_prod'( V0, T ) ) ), ~( 'c_in'( 'c_Pair'( X, V1, Z, V0 ), U, 'tc_prod'(
% 0.92/1.34 Z, V0 ) ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.92/1.34 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'(
% 0.92/1.34 Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ]
% 0.92/1.34 ,
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.92/1.34 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.92/1.34 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_in'(
% 0.92/1.34 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ),
% 0.92/1.34 'tc_prod'( Z, Z ) ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId'( Y ), 'tc_prod'( Y, Y
% 0.92/1.34 ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId'( Y ), 'tc_prod'( Y, Y
% 0.92/1.34 ) ) ],
% 0.92/1.34 [ 'c_in'( hAPP( X, Y ), hAPP( Z, Y ), T ), ~( 'c_in'( Y, U, W ) ), ~(
% 0.92/1.34 'c_in'( X, 'c_FuncSet_OPi'( U, Z, W, T ), 'tc_fun'( W, T ) ) ) ],
% 0.92/1.34 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( hAPP( T, X ), hAPP( U, X ), W ), ~(
% 0.92/1.34 'c_in'( T, 'c_FuncSet_OPi'( Y, U, Z, W ), 'tc_fun'( Z, W ) ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.92/1.34 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.92/1.34 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( X, Y ), =( X, T ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.92/1.34 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.92/1.34 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( Y, T ), =( X, T ) ],
% 0.92/1.34 [ ~( 'c_in'( 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.92/1.34 Y, X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.92/1.34 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.92/1.34 Z, X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 , =( Y, T ), ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.92/1.34 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.92/1.34 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.92/1.34 [ =( X, Y ), =( Y, X ), 'c_in'( 'c_Pair'( X, Y,
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.92/1.34 'c_Arrow__Order__Mirabelle_Omkbot'( Z, X ), 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 ],
% 0.92/1.34 [ ~( 'c_in'( 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.92/1.34 Y, X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.92/1.34 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.92/1.34 Z, Y ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.92/1.34 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.92/1.34 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( X, Y ), =( Y, T ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.92/1.34 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.92/1.34 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( X, T ), =( Y, T ) ],
% 0.92/1.34 [ =( X, Y ), =( X, Y ), 'c_in'( 'c_Pair'( X, Y,
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.92/1.34 'c_Arrow__Order__Mirabelle_Omktop'( Z, Y ), 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 , =( X, T ), ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.92/1.34 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.92/1.34 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.92/1.34 'v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1'( X, Y ), 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 , =( X, Y ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( Z, T ), 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 , ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( Z, U ), 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 ), ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( U,
% 0.92/1.34 'v_sko__Arrow__Order__Mirabelle__XIIA__def__1'( X, Y, T, U ) ), 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 ), ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( T,
% 0.92/1.34 'v_sko__Arrow__Order__Mirabelle__XIIA__def__1'( X, Y, T, U ) ), 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 ), ~( 'c_in'( U, 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.92/1.34 'tc_bool' ) ) ) ), ~( 'c_in'( T, 'c_Arrow__Order__Mirabelle_OProf',
% 0.92/1.34 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.92/1.34 'tc_bool' ) ) ) ), ~( 'c_Arrow__Order__Mirabelle_OIIA'( Z ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( Z, T ), 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 , ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( Z, U ), 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 ), ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( T,
% 0.92/1.34 'v_sko__Arrow__Order__Mirabelle__XIIA__def__1'( X, Y, U, T ) ), 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 ), ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( U,
% 0.92/1.34 'v_sko__Arrow__Order__Mirabelle__XIIA__def__1'( X, Y, U, T ) ), 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 ), ~( 'c_in'( T, 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.92/1.34 'tc_bool' ) ) ) ), ~( 'c_in'( U, 'c_Arrow__Order__Mirabelle_OProf',
% 0.92/1.34 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.92/1.34 'tc_bool' ) ) ) ), ~( 'c_Arrow__Order__Mirabelle_OIIA'( Z ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( Z, T ), 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 , ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( Z, U ), 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 ), 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( U,
% 0.92/1.34 'v_sko__Arrow__Order__Mirabelle__XIIA__def__1'( X, Y, T, U ) ), 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 , 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( T,
% 0.92/1.34 'v_sko__Arrow__Order__Mirabelle__XIIA__def__1'( X, Y, T, U ) ), 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 , ~( 'c_in'( U, 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.92/1.34 'tc_bool' ) ) ) ), ~( 'c_in'( T, 'c_Arrow__Order__Mirabelle_OProf',
% 0.92/1.34 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.92/1.34 'tc_bool' ) ) ) ), ~( 'c_Arrow__Order__Mirabelle_OIIA'( Z ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( Z, T ), 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 , ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( Z, U ), 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 ), 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( T,
% 0.92/1.34 'v_sko__Arrow__Order__Mirabelle__XIIA__def__1'( X, Y, U, T ) ), 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 , 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( U,
% 0.92/1.34 'v_sko__Arrow__Order__Mirabelle__XIIA__def__1'( X, Y, U, T ) ), 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 , ~( 'c_in'( T, 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.92/1.34 'tc_bool' ) ) ) ), ~( 'c_in'( U, 'c_Arrow__Order__Mirabelle_OProf',
% 0.92/1.34 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.92/1.34 'tc_bool' ) ) ) ), ~( 'c_Arrow__Order__Mirabelle_OIIA'( Z ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( Z, T ), 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 , ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( T,
% 0.92/1.34 'v_sko__Arrow__Order__Mirabelle__Xunanimity__def__1'( X, Y, T ) ),
% 0.92/1.34 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_in'( T,
% 0.92/1.34 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.92/1.34 'tc_bool' ) ) ) ), ~( 'c_Arrow__Order__Mirabelle_Ounanimity'( Z ) ) ]
% 0.92/1.34 ,
% 0.92/1.34 [ =( hAPP( X, Y ), hAPP( Y, Z ) ), ~( 'c_in'( Y,
% 0.92/1.34 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.92/1.34 'tc_bool' ) ) ) ), ~( 'c_Arrow__Order__Mirabelle_Odictator'( X, Z ) ) ]
% 0.92/1.34 ,
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Product__Type_OSigma'( U, W, Z, T )
% 0.92/1.34 , 'tc_prod'( Z, T ) ), ~( 'c_in'( Y, hAPP( W, X ), T ) ), ~( 'c_in'( X, U
% 0.92/1.34 , Z ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Product__Type_OSigma'( U, W, Z, T )
% 0.92/1.34 , 'tc_prod'( Z, T ) ), ~( 'c_in'( Y, hAPP( W, X ), T ) ), ~( 'c_in'( X, U
% 0.92/1.34 , Z ) ) ],
% 0.92/1.34 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'( 'c_Pair'( X,
% 0.92/1.34 T, Z, Z ), Y, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( T, 'c_Wellfounded_Oacc'(
% 0.92/1.34 Y, Z ), Z ) ) ],
% 0.92/1.34 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'( 'c_Pair'( X,
% 0.92/1.34 T, Z, Z ), Y, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( T, 'c_Wellfounded_Oacc'(
% 0.92/1.34 Y, Z ), Z ) ) ],
% 0.92/1.34 [ 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ), ~( 'c_in'( 'c_Pair'(
% 0.92/1.34 W, X, T, U ), Y, 'tc_prod'( T, U ) ) ), ~( 'c_in'( W, Z, T ) ) ],
% 0.92/1.34 [ 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ), ~( 'c_in'( 'c_Pair'(
% 0.92/1.34 W, X, T, U ), Y, 'tc_prod'( T, U ) ) ), ~( 'c_in'( W, Z, T ) ) ],
% 0.92/1.34 [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( X, T, Z, Z ),
% 0.92/1.34 'c_Relation_OId__on'( Y, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId__on'( Z, Y ),
% 0.92/1.34 'tc_prod'( Y, Y ) ), ~( 'c_in'( X, Z, Y ) ) ],
% 0.92/1.34 [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( T, X, Z, Z ), U, 'tc_prod'( Z
% 0.92/1.34 , Z ) ) ), ~( 'c_Equiv__Relations_Oequiv'( Y, U, Z ) ) ],
% 0.92/1.34 [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( X, T, Z, Z ), U, 'tc_prod'( Z
% 0.92/1.34 , Z ) ) ), ~( 'c_Equiv__Relations_Oequiv'( Y, U, Z ) ) ],
% 0.92/1.34 [ 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ), ~( 'c_in'( 'c_Pair'( U
% 0.92/1.34 , X, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ],
% 0.92/1.34 [ 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ), ~( 'c_in'( 'c_Pair'( U
% 0.92/1.34 , X, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ],
% 0.92/1.34 [ 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ), ~( 'c_in'( 'c_Pair'(
% 0.92/1.34 X, U, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ],
% 0.92/1.34 [ 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ), ~( 'c_in'( 'c_Pair'(
% 0.92/1.34 X, U, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ],
% 0.92/1.34 [ 'c_in'( X, hAPP( Y, Z ), T ), ~( 'c_in'( 'c_Pair'( Z, X, U, T ),
% 0.92/1.34 'c_Product__Type_OSigma'( W, Y, U, T ), 'tc_prod'( U, T ) ) ) ],
% 0.92/1.34 [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( X, T, Z, U ),
% 0.92/1.34 'c_Product__Type_OSigma'( Y, W, Z, U ), 'tc_prod'( Z, U ) ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), 'c_in'(
% 0.92/1.34 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ), =( Y, X ), ~( 'c_in'( X,
% 0.92/1.34 U, Z ) ), ~( 'c_in'( Y, U, Z ) ), ~( 'c_Relation_Ototal__on'( U, T, Z ) )
% 0.92/1.34 ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ), ~( 'c_in'( X,
% 0.92/1.34 T, Y ) ), ~( 'c_Relation_Orefl__on'( T, Z, Y ) ) ],
% 0.92/1.34 [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( T, X, Z, Z ), U, 'tc_prod'( Z
% 0.92/1.34 , Z ) ) ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ) ],
% 0.92/1.34 [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( X, T, Z, Z ), U, 'tc_prod'( Z
% 0.92/1.34 , Z ) ) ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ), ~( 'c_in'( X,
% 0.92/1.34 T, Y ) ), ~( 'c_Relation_Orefl__on'( T, Z, Y ) ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_F', Z ), 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 , ~( 'c_in'( 'c_Pair'( T, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_F', W ), 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 ), ~( 'c_in'( 'c_Pair'( T, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( W, 'v_sko__local__X2__1'( Z, W
% 0.92/1.34 , X, T, Y, U ) ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.92/1.34 hAPP( Z, 'v_sko__local__X2__1'( Z, W, X, T, Y, U ) ), 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 ), ~( 'c_in'( W, 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.92/1.34 'tc_bool' ) ) ) ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OProf',
% 0.92/1.34 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.92/1.34 'tc_bool' ) ) ) ), =( Y, T ), =( X, U ), =( T, U ), =( X, Y ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_F', Z ), 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 , ~( 'c_in'( 'c_Pair'( T, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_F', W ), 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 ), ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( Z, 'v_sko__local__X2__1'( W, Z
% 0.92/1.34 , T, X, U, Y ) ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_in'( 'c_Pair'( T, U,
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.92/1.34 hAPP( W, 'v_sko__local__X2__1'( W, Z, T, X, U, Y ) ), 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.92/1.34 'tc_bool' ) ) ) ), ~( 'c_in'( W, 'c_Arrow__Order__Mirabelle_OProf',
% 0.92/1.34 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.92/1.34 'tc_bool' ) ) ) ), =( U, X ), =( T, Y ), =( X, Y ), =( T, U ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_F', Z ), 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 , ~( 'c_in'( 'c_Pair'( T, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_F', W ), 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 ), 'c_in'( 'c_Pair'( T, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( W, 'v_sko__local__X2__1'( Z, W
% 0.92/1.34 , X, T, Y, U ) ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_in'( 'c_Pair'( X, Y,
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.92/1.34 hAPP( Z, 'v_sko__local__X2__1'( Z, W, X, T, Y, U ) ), 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 , ~( 'c_in'( W, 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.92/1.34 'tc_bool' ) ) ) ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OProf',
% 0.92/1.34 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.92/1.34 'tc_bool' ) ) ) ), =( Y, T ), =( X, U ), =( T, U ), =( X, Y ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_F', Z ), 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 , ~( 'c_in'( 'c_Pair'( T, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_F', W ), 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 ), 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( Z, 'v_sko__local__X2__1'( W, Z
% 0.92/1.34 , T, X, U, Y ) ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_in'( 'c_Pair'( T, U,
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.92/1.34 hAPP( W, 'v_sko__local__X2__1'( W, Z, T, X, U, Y ) ), 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 , ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.92/1.34 'tc_bool' ) ) ) ), ~( 'c_in'( W, 'c_Arrow__Order__Mirabelle_OProf',
% 0.92/1.34 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.92/1.34 'tc_bool' ) ) ) ), =( U, X ), =( T, Y ), =( X, Y ), =( T, U ) ],
% 0.92/1.34 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_F', Z ), 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 , ~( 'c_in'( 'c_Pair'( T, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_F', W ), 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 ), ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( Z, 'v_sko__local__X1__1'( W, Z
% 0.92/1.34 , T, X, U, Y ) ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_in'( 'c_Pair'( T, U,
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.92/1.34 hAPP( W, 'v_sko__local__X1__1'( W, Z, T, X, U, Y ) ), 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.92/1.34 ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
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% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.92/1.34 'tc_bool' ) ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.92/1.34 'tc_bool' ) ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ), 'v_a____',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.92/1.34 'tc_bool' ) ) ), 'v_c____', 'tc_Arrow__Order__Mirabelle_Oindi',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.92/1.34 'tc_bool' ) ) ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.92/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ],
% 0.92/1.34 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.92/1.34 'class_Lattices_Olattice'( Y ) ) ],
% 0.92/1.34 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.92/1.34 'class_Lattices_Olattice'( Y ) ) ],
% 0.92/1.34 [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.92/1.34 'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 0.92/1.34 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.92/1.34 'class_Orderings_Opreorder'( Y ) ) ],
% 0.92/1.34 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 0.92/1.34 'class_Lattices_Olattice'( Y ) ) ],
% 0.92/1.34 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.92/1.34 'class_Orderings_Oorder'( Y ) ) ],
% 0.92/1.34 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 0.92/1.34 ,
% 0.92/1.34 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 0.92/1.34 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 0.92/1.34 [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 0.92/1.34 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.92/1.34 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.92/1.34 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.92/1.34 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 0.92/1.34 [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), Y ) ) ]
% 0.92/1.34 ,
% 0.92/1.34 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 0.92/1.34 ,
% 0.92/1.34 [ 'c_fequal'( X, X, Y ) ],
% 0.92/1.34 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 0.92/1.34 ] .
% 0.92/1.34
% 0.92/1.34
% 0.92/1.34 percentage equality = 0.218909, percentage horn = 0.817376
% 0.92/1.34 This is a problem with some equality
% 0.92/1.34
% 0.92/1.34
% 0.92/1.34
% 0.92/1.34 Options Used:
% 0.92/1.34
% 0.92/1.34 useres = 1
% 0.92/1.34 useparamod = 1
% 0.92/1.34 useeqrefl = 1
% 0.92/1.34 useeqfact = 1
% 0.92/1.34 usefactor = 1
% 0.92/1.34 usesimpsplitting = 0
% 0.92/1.34 usesimpdemod = 5
% 0.92/1.34 usesimpres = 3
% 0.92/1.34
% 0.92/1.34 resimpinuse = 1000
% 0.92/1.34 resimpclauses = 20000
% 0.92/1.34 substype = eqrewr
% 0.92/1.34 backwardsubs = 1
% 0.92/1.34 selectoldest = 5
% 0.92/1.34
% 0.92/1.34 litorderings [0] = split
% 0.92/1.34 litorderings [1] = extend the termordering, first sorting on arguments
% 0.92/1.34
% 0.92/1.34 termordering = kbo
% 0.92/1.34
% 0.92/1.34 litapriori = 0
% 0.92/1.34 termapriori = 1
% 0.92/1.34 litaposteriori = 0
% 0.92/1.34 termaposteriori = 0
% 0.92/1.34 demodaposteriori = 0
% 0.92/1.34 ordereqreflfact = 0
% 0.92/1.34
% 0.92/1.34 litselect = negord
% 0.92/1.34
% 0.92/1.34 maxweight = 15
% 0.92/1.34 maxdepth = 30000
% 0.92/1.34 maxlength = 115
% 0.92/1.34 maxnrvars = 195
% 0.92/1.34 excuselevel = 1
% 0.92/1.34 increasemaxweight = 1
% 0.92/1.34
% 0.92/1.34 maxselected = 10000000
% 0.92/1.34 maxnrclauses = 10000000
% 0.92/1.34
% 0.92/1.34 showgenerated = 0
% 0.92/1.34 showkept = 0
% 0.92/1.34 showselected = 0
% 0.92/1.34 showdeleted = 0
% 0.92/1.34 showresimp = 1
% 0.92/1.34 showstatus = 2000
% 0.92/1.34
% 0.92/1.34 prologoutput = 1
% 0.92/1.34 nrgoals = 5000000
% 0.92/1.34 totalproof = 1
% 0.92/1.34
% 0.92/1.34 Symbols occurring in the translation:
% 0.92/1.34
% 0.92/1.34 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.92/1.34 . [1, 2] (w:1, o:104, a:1, s:1, b:0),
% 0.92/1.34 ! [4, 1] (w:0, o:81, a:1, s:1, b:0),
% 0.92/1.34 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.92/1.34 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.92/1.34 'class_Lattices_Olattice' [40, 1] (w:1, o:86, a:1, s:1, b:0),
% 0.92/1.34 'c_Lattices_Oupper__semilattice__class_Osup' [43, 3] (w:1, o:156, a:1
% 0.92/1.34 , s:1, b:0),
% 0.92/1.34 'class_Lattices_Oupper__semilattice' [45, 1] (w:1, o:87, a:1, s:1, b:
% 0.92/1.34 0),
% 0.92/1.34 'tc_bool' [48, 0] (w:1, o:23, a:1, s:1, b:0),
% 0.92/1.34 'tc_fun' [49, 2] (w:1, o:129, a:1, s:1, b:0),
% 0.92/1.34 'c_Set_Oimage' [53, 4] (w:1, o:190, a:1, s:1, b:0),
% 0.92/1.34 'c_HOL_Ominus__class_Ominus' [54, 3] (w:1, o:157, a:1, s:1, b:0),
% 0.92/1.34 'c_lessequals' [55, 3] (w:1, o:158, a:1, s:1, b:0),
% 0.92/1.34 'class_OrderedGroup_Oab__group__add' [56, 1] (w:1, o:88, a:1, s:1, b:
% 0.92/1.34 0),
% 0.92/1.34 'c_Relation_OImage' [61, 4] (w:1, o:188, a:1, s:1, b:0),
% 0.92/1.34 'c_COMBK' [62, 3] (w:1, o:159, a:1, s:1, b:0),
% 0.92/1.34 'c_Product__Type_OSigma' [63, 4] (w:1, o:191, a:1, s:1, b:0),
% 0.92/1.34 'tc_prod' [64, 2] (w:1, o:130, a:1, s:1, b:0),
% 0.92/1.34 hAPP [67, 2] (w:1, o:131, a:1, s:1, b:0),
% 0.92/1.34 'c_Set_Oinsert' [68, 3] (w:1, o:166, a:1, s:1, b:0),
% 0.92/1.34 hBOOL [70, 1] (w:1, o:89, a:1, s:1, b:0),
% 0.92/1.34 'c_List_Osko__Recdef__Xtfl__wf__induct__1__1' [72, 3] (w:1, o:167, a:
% 0.92/1.34 1, s:1, b:0),
% 0.92/1.34 'c_Wellfounded_Owf' [73, 2] (w:1, o:132, a:1, s:1, b:0),
% 0.92/1.34 'c_Relation_Orel__comp' [78, 5] (w:1, o:209, a:1, s:1, b:0),
% 0.92/1.34 'c_Relation_Orefl__on' [80, 3] (w:1, o:160, a:1, s:1, b:0),
% 0.92/1.34 'c_Relation_OId__on' [81, 2] (w:1, o:133, a:1, s:1, b:0),
% 0.92/1.34 'class_Lattices_Odistrib__lattice' [82, 1] (w:1, o:90, a:1, s:1, b:0)
% 0.92/1.34 ,
% 0.92/1.34 'c_Lattices_Olower__semilattice__class_Oinf' [83, 3] (w:1, o:168, a:1
% 0.92/1.34 , s:1, b:0),
% 0.92/1.34 'c_Relation_ODomain' [84, 3] (w:1, o:161, a:1, s:1, b:0),
% 0.92/1.34 'c_in' [85, 3] (w:1, o:169, a:1, s:1, b:0),
% 0.92/1.34 'c_Relation_ORange' [87, 3] (w:1, o:162, a:1, s:1, b:0),
% 0.92/1.34 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1' [89, 3] (w:1, o:
% 0.92/1.34 170, a:1, s:1, b:0),
% 0.92/1.34 'c_Transitive__Closure_Ortrancl' [90, 2] (w:1, o:134, a:1, s:1, b:0)
% 0.92/1.34 ,
% 0.92/1.34 'c_Pair' [91, 4] (w:1, o:192, a:1, s:1, b:0),
% 0.92/1.34 'c_Relation_Osym' [92, 2] (w:1, o:135, a:1, s:1, b:0),
% 0.92/1.34 'class_Lattices_Olower__semilattice' [95, 1] (w:1, o:91, a:1, s:1, b:
% 0.92/1.34 0),
% 0.92/1.34 'c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1' [98, 3] (w:1, o:171
% 0.92/1.34 , a:1, s:1, b:0),
% 0.92/1.34 'c_Wellfounded_Oacyclic' [99, 2] (w:1, o:136, a:1, s:1, b:0),
% 0.92/1.34 'c_Relation_Oconverse' [100, 3] (w:1, o:163, a:1, s:1, b:0),
% 0.92/1.34 'class_Orderings_Oorder' [101, 1] (w:1, o:92, a:1, s:1, b:0),
% 0.92/1.34 'c_Transitive__Closure_Otrancl' [102, 2] (w:1, o:137, a:1, s:1, b:0)
% 0.92/1.34 ,
% 0.92/1.34 'c_FuncSet_OPi' [103, 4] (w:1, o:194, a:1, s:1, b:0),
% 0.92/1.34 'c_Relation_Ototal__on' [104, 3] (w:1, o:165, a:1, s:1, b:0),
% 0.92/1.34 'c_Order__Relation_Ostrict__linear__order__on' [105, 3] (w:1, o:172
% 0.92/1.34 , a:1, s:1, b:0),
% 0.92/1.34 'c_Wellfounded_Oacc' [108, 2] (w:1, o:138, a:1, s:1, b:0),
% 0.92/1.34 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1' [110, 3]
% 0.92/1.34 (w:1, o:173, a:1, s:1, b:0),
% 0.92/1.34 'c_List_Osko__Recdef__Xcuts__eq__1__1' [112, 6] (w:1, o:218, a:1, s:1
% 0.92/1.34 , b:0),
% 0.92/1.34 'c_Recdef_Ocut' [113, 5] (w:1, o:210, a:1, s:1, b:0),
% 0.92/1.34 'class_HOL_Oord' [114, 1] (w:1, o:93, a:1, s:1, b:0),
% 0.92/1.34 'c_COMBB' [118, 5] (w:1, o:211, a:1, s:1, b:0),
% 0.92/1.34 'c_Relation_OId' [119, 1] (w:1, o:94, a:1, s:1, b:0),
% 0.92/1.34 'c_Relation_Oirrefl' [120, 2] (w:1, o:139, a:1, s:1, b:0),
% 0.92/1.34 'c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1' [121, 4]
% 0.92/1.34 (w:1, o:195, a:1, s:1, b:0),
% 0.92/1.34 'c_Relation_Otrans' [122, 2] (w:1, o:140, a:1, s:1, b:0),
% 0.92/1.34 'class_Orderings_Opreorder' [123, 1] (w:1, o:95, a:1, s:1, b:0),
% 0.92/1.34 'c_Relation_Oantisym' [125, 2] (w:1, o:141, a:1, s:1, b:0),
% 0.92/1.34 'c_Relation_Osingle__valued' [126, 3] (w:1, o:164, a:1, s:1, b:0),
% 0.92/1.34 'class_OrderedGroup_Opordered__ab__group__add' [127, 1] (w:1, o:96
% 0.92/1.34 , a:1, s:1, b:0),
% 0.92/1.34 'c_Equiv__Relations_Oequiv' [129, 3] (w:1, o:174, a:1, s:1, b:0),
% 0.92/1.34 'class_Orderings_Olinorder' [130, 1] (w:1, o:97, a:1, s:1, b:0),
% 0.92/1.34 'v_sko__Arrow__Order__Mirabelle__Xdictator__def__1' [133, 2] (w:1, o:
% 0.92/1.34 143, a:1, s:1, b:0),
% 0.92/1.34 'c_Arrow__Order__Mirabelle_Odictator' [134, 2] (w:1, o:144, a:1, s:1
% 0.92/1.34 , b:0),
% 0.92/1.34 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1' [135, 4
% 0.92/1.34 ] (w:1, o:196, a:1, s:1, b:0),
% 0.92/1.34 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2' [136, 4
% 0.92/1.34 ] (w:1, o:197, a:1, s:1, b:0),
% 0.92/1.34 'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1' [137, 3]
% 0.92/1.34 (w:1, o:175, a:1, s:1, b:0),
% 0.92/1.34 'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1' [138, 3] (w:1, o:
% 0.92/1.34 176, a:1, s:1, b:0),
% 0.92/1.34 'c_ATP__Linkup_Osko__Relation__XImageE__1__1' [139, 5] (w:1, o:212
% 0.92/1.34 , a:1, s:1, b:0),
% 0.92/1.34 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1' [140, 5] (w:1, o:
% 0.92/1.34 213, a:1, s:1, b:0),
% 0.92/1.34 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1' [141, 3] (w:1
% 0.92/1.34 , o:177, a:1, s:1, b:0),
% 0.92/1.34 'v_sko__Wellfounded__Xacc__Xinducts__1' [142, 2] (w:1, o:145, a:1, s:
% 0.92/1.34 1, b:0),
% 0.92/1.34 't_a' [143, 0] (w:1, o:60, a:1, s:1, b:0),
% 0.92/1.34 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1' [144, 3]
% 0.92/1.34 (w:1, o:178, a:1, s:1, b:0),
% 0.92/1.34 'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1' [145, 3] (w:
% 0.92/1.34 1, o:179, a:1, s:1, b:0),
% 0.92/1.34 'v_sko__Wellfounded__Xacc__Xinduct__1' [146, 2] (w:1, o:146, a:1, s:1
% 4.76/5.13 , b:0),
% 4.76/5.13 'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1' [147, 3] (w:1
% 4.76/5.13 , o:180, a:1, s:1, b:0),
% 4.76/5.13 'c_Arrow__Order__Mirabelle_Oabove' [149, 3] (w:1, o:181, a:1, s:1, b:
% 4.76/5.13 0),
% 4.76/5.13 'c_Arrow__Order__Mirabelle_OLin' [150, 0] (w:1, o:62, a:1, s:1, b:0)
% 4.76/5.13 ,
% 4.76/5.13 'tc_Arrow__Order__Mirabelle_Oalt' [151, 0] (w:1, o:63, a:1, s:1, b:0)
% 4.76/5.13 ,
% 4.76/5.13 'v_sko__Transitive__Closure__Xrtrancl__Xcases__1' [154, 3] (w:1, o:
% 4.76/5.13 182, a:1, s:1, b:0),
% 4.76/5.13 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1'
% 4.76/5.13 [155, 4] (w:1, o:198, a:1, s:1, b:0),
% 4.76/5.13 'c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1' [157
% 4.76/5.13 , 2] (w:1, o:147, a:1, s:1, b:0),
% 4.76/5.13 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1' [158,
% 4.76/5.13 4] (w:1, o:199, a:1, s:1, b:0),
% 4.76/5.13 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1' [159, 4]
% 4.76/5.13 (w:1, o:200, a:1, s:1, b:0),
% 4.76/5.13 'v_sko__Transitive__Closure__Xtrancl__Xcases__1' [160, 3] (w:1, o:183
% 4.76/5.13 , a:1, s:1, b:0),
% 4.76/5.13 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1' [161, 4]
% 4.76/5.13 (w:1, o:202, a:1, s:1, b:0),
% 4.76/5.13 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1' [162, 4]
% 4.76/5.13 (w:1, o:201, a:1, s:1, b:0),
% 4.76/5.13 'c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1' [163, 7] (w:1
% 4.76/5.13 , o:222, a:1, s:1, b:0),
% 4.76/5.13 'c_FuncSet_Osko__FuncSet__XPi__I__1__1' [164, 5] (w:1, o:214, a:1, s:
% 4.76/5.13 1, b:0),
% 4.76/5.13 'c_FuncSet_Osko__FuncSet__XPi__I_H__1__1' [165, 5] (w:1, o:215, a:1
% 4.76/5.13 , s:1, b:0),
% 4.76/5.13 'c_ATP__Linkup_Osko__Relation__XIdE__1__1' [166, 2] (w:1, o:148, a:1
% 4.76/5.13 , s:1, b:0),
% 4.76/5.13 'c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1' [167, 2] (w:1
% 4.76/5.13 , o:149, a:1, s:1, b:0),
% 4.76/5.13 'c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1' [168, 2] (w:1, o:
% 4.76/5.13 150, a:1, s:1, b:0),
% 4.76/5.13 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1' [169, 3] (w:1, o:184
% 4.76/5.13 , a:1, s:1, b:0),
% 4.76/5.13 'v_r' [170, 0] (w:1, o:64, a:1, s:1, b:0),
% 4.76/5.13 't_b' [171, 0] (w:1, o:65, a:1, s:1, b:0),
% 4.76/5.13 'c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1' [172, 2] (w:1, o:
% 4.76/5.13 151, a:1, s:1, b:0),
% 4.76/5.13 'c_Arrow__Order__Mirabelle_OIIA' [173, 1] (w:1, o:98, a:1, s:1, b:0)
% 4.76/5.13 ,
% 4.76/5.13 'v_sko__Arrow__Order__Mirabelle__XIIA__def__2' [174, 1] (w:1, o:99
% 4.76/5.13 , a:1, s:1, b:0),
% 4.76/5.13 'c_Arrow__Order__Mirabelle_OProf' [175, 0] (w:1, o:66, a:1, s:1, b:0)
% 4.76/5.13 ,
% 4.76/5.13 'tc_Arrow__Order__Mirabelle_Oindi' [176, 0] (w:1, o:67, a:1, s:1, b:0
% 4.76/5.13 ),
% 4.76/5.13 'v_sko__Arrow__Order__Mirabelle__XIIA__def__3' [177, 1] (w:1, o:100
% 4.76/5.13 , a:1, s:1, b:0),
% 4.76/5.13 'c_Nitpick_Orefl_H' [178, 2] (w:1, o:152, a:1, s:1, b:0),
% 4.76/5.13 'c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1' [179, 2] (w:1, o:153
% 4.76/5.13 , a:1, s:1, b:0),
% 4.76/5.13 'c_Arrow__Order__Mirabelle_Ounanimity' [180, 1] (w:1, o:101, a:1, s:1
% 4.76/5.13 , b:0),
% 4.76/5.13 'v_sko__Arrow__Order__Mirabelle__Xunanimity__def__2' [181, 1] (w:1
% 4.76/5.13 , o:102, a:1, s:1, b:0),
% 4.76/5.13 'c_split' [182, 4] (w:1, o:203, a:1, s:1, b:0),
% 4.76/5.13 'c_ATP__Linkup_Osko__Relation__XDomainE__1__1' [183, 4] (w:1, o:204
% 4.76/5.13 , a:1, s:1, b:0),
% 4.76/5.13 'c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1' [184, 4] (w:1, o:
% 4.76/5.13 205, a:1, s:1, b:0),
% 4.76/5.13 'c_ATP__Linkup_Osko__Relation__XRangeE__1__1' [186, 4] (w:1, o:206
% 4.76/5.13 , a:1, s:1, b:0),
% 4.76/5.13 'c_ATP__Linkup_Osko__Relation__XRange__iff__1__1' [187, 4] (w:1, o:
% 4.76/5.13 207, a:1, s:1, b:0),
% 4.76/5.13 'c_Equiv__Relations_Oquotient' [190, 3] (w:1, o:185, a:1, s:1, b:0),
% 4.76/5.13
% 4.76/5.13 'c_Arrow__Order__Mirabelle_Obelow' [191, 0] (w:1, o:70, a:1, s:1, b:0
% 4.76/5.13 ),
% 4.76/5.13 'v_F' [192, 0] (w:1, o:71, a:1, s:1, b:0),
% 4.76/5.13 'c_Relation_Oinv__image' [193, 4] (w:1, o:189, a:1, s:1, b:0),
% 4.76/5.13 'c_Equiv__Relations_Ocongruent' [196, 4] (w:1, o:193, a:1, s:1, b:0)
% 4.76/5.13 ,
% 4.76/5.13 'c_Equiv__Relations_Ocongruent2' [198, 6] (w:1, o:219, a:1, s:1, b:0)
% 4.76/5.13 ,
% 4.76/5.13 'c_Arrow__Order__Mirabelle_Omkbot' [199, 2] (w:1, o:154, a:1, s:1, b:
% 4.76/5.13 0),
% 4.76/5.13 'c_Arrow__Order__Mirabelle_Omktop' [200, 2] (w:1, o:155, a:1, s:1, b:
% 4.76/5.13 0),
% 4.76/5.13 'v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1' [201, 2] (w:1, o:
% 4.76/5.13 142, a:1, s:1, b:0),
% 4.76/5.13 'c_FunDef_Oin__rel' [206, 5] (w:1, o:216, a:1, s:1, b:0),
% 140.82/141.23 'v_sko__Arrow__Order__Mirabelle__XIIA__def__1' [207, 4] (w:1, o:208
% 140.82/141.23 , a:1, s:1, b:0),
% 140.82/141.23 'v_sko__Arrow__Order__Mirabelle__Xunanimity__def__1' [208, 3] (w:1
% 140.82/141.23 , o:186, a:1, s:1, b:0),
% 140.82/141.23 'v_sko__local__X2__1' [212, 6] (w:1, o:221, a:1, s:1, b:0),
% 140.82/141.23 'v_sko__local__X1__1' [213, 6] (w:1, o:220, a:1, s:1, b:0),
% 140.82/141.23 'v_a____' [214, 0] (w:1, o:75, a:1, s:1, b:0),
% 140.82/141.23 'v_b____' [215, 0] (w:1, o:76, a:1, s:1, b:0),
% 140.82/141.23 'v_P____' [216, 0] (w:1, o:77, a:1, s:1, b:0),
% 140.82/141.23 'v_P_H____' [217, 1] (w:1, o:103, a:1, s:1, b:0),
% 140.82/141.23 'v_c____' [218, 0] (w:1, o:78, a:1, s:1, b:0),
% 140.82/141.23 'c_COMBC' [219, 5] (w:1, o:217, a:1, s:1, b:0),
% 140.82/141.23 'c_fequal' [222, 3] (w:1, o:187, a:1, s:1, b:0).
% 140.82/141.23
% 140.82/141.23
% 140.82/141.23 Starting Search:
% 140.82/141.23
% 140.82/141.23 Resimplifying inuse:
% 140.82/141.23 Done
% 140.82/141.23
% 140.82/141.23
% 140.82/141.23 Intermediate Status:
% 140.82/141.23 Generated: 8391
% 140.82/141.23 Kept: 2007
% 140.82/141.23 Inuse: 183
% 140.82/141.23 Deleted: 1
% 140.82/141.23 Deletedinuse: 0
% 140.82/141.23
% 140.82/141.23 Resimplifying inuse:
% 140.82/141.23 Done
% 140.82/141.23
% 140.82/141.23 Resimplifying inuse:
% 140.82/141.23 Done
% 140.82/141.23
% 140.82/141.23
% 140.82/141.23 Intermediate Status:
% 140.82/141.23 Generated: 14438
% 140.82/141.23 Kept: 4059
% 140.82/141.23 Inuse: 316
% 140.82/141.23 Deleted: 8
% 140.82/141.23 Deletedinuse: 3
% 140.82/141.23
% 140.82/141.23 Resimplifying inuse:
% 140.82/141.23 Done
% 140.82/141.23
% 140.82/141.23 Resimplifying inuse:
% 140.82/141.23 Done
% 140.82/141.23
% 140.82/141.23
% 140.82/141.23 Intermediate Status:
% 140.82/141.23 Generated: 25164
% 140.82/141.23 Kept: 6060
% 140.82/141.23 Inuse: 422
% 140.82/141.23 Deleted: 8
% 140.82/141.23 Deletedinuse: 3
% 140.82/141.23
% 140.82/141.23 Resimplifying inuse:
% 140.82/141.23 Done
% 140.82/141.23
% 140.82/141.23
% 140.82/141.23 Intermediate Status:
% 140.82/141.23 Generated: 39225
% 140.82/141.23 Kept: 8083
% 140.82/141.23 Inuse: 513
% 140.82/141.23 Deleted: 14
% 140.82/141.23 Deletedinuse: 6
% 140.82/141.23
% 140.82/141.23 Resimplifying inuse:
% 140.82/141.23 Done
% 140.82/141.23
% 140.82/141.23 Resimplifying inuse:
% 140.82/141.23 Done
% 140.82/141.23
% 140.82/141.23
% 140.82/141.23 Intermediate Status:
% 140.82/141.23 Generated: 52189
% 140.82/141.23 Kept: 10235
% 140.82/141.23 Inuse: 575
% 140.82/141.23 Deleted: 27
% 140.82/141.23 Deletedinuse: 19
% 140.82/141.23
% 140.82/141.23 Resimplifying inuse:
% 140.82/141.23 Done
% 140.82/141.23
% 140.82/141.23 Resimplifying inuse:
% 140.82/141.23 Done
% 140.82/141.23
% 140.82/141.23
% 140.82/141.23 Intermediate Status:
% 140.82/141.23 Generated: 65526
% 140.82/141.23 Kept: 12261
% 140.82/141.23 Inuse: 662
% 140.82/141.23 Deleted: 50
% 140.82/141.23 Deletedinuse: 21
% 140.82/141.23
% 140.82/141.23 Resimplifying inuse:
% 140.82/141.23 Done
% 140.82/141.23
% 140.82/141.23 Resimplifying inuse:
% 140.82/141.23 Done
% 140.82/141.23
% 140.82/141.23
% 140.82/141.23 Intermediate Status:
% 140.82/141.23 Generated: 73795
% 140.82/141.23 Kept: 14270
% 140.82/141.23 Inuse: 710
% 140.82/141.23 Deleted: 65
% 140.82/141.23 Deletedinuse: 26
% 140.82/141.23
% 140.82/141.23 Resimplifying inuse:
% 140.82/141.23 Done
% 140.82/141.23
% 140.82/141.23
% 140.82/141.23 Intermediate Status:
% 140.82/141.23 Generated: 85075
% 140.82/141.23 Kept: 16336
% 140.82/141.23 Inuse: 731
% 140.82/141.23 Deleted: 120
% 140.82/141.23 Deletedinuse: 80
% 140.82/141.23
% 140.82/141.23 Resimplifying inuse:
% 140.82/141.23 Done
% 140.82/141.23
% 140.82/141.23 Resimplifying inuse:
% 140.82/141.23 Done
% 140.82/141.23
% 140.82/141.23
% 140.82/141.23 Intermediate Status:
% 140.82/141.23 Generated: 97138
% 140.82/141.23 Kept: 18772
% 140.82/141.23 Inuse: 762
% 140.82/141.23 Deleted: 148
% 140.82/141.23 Deletedinuse: 108
% 140.82/141.23
% 140.82/141.23 Resimplifying inuse:
% 140.82/141.23 Done
% 140.82/141.23
% 140.82/141.23 Resimplifying inuse:
% 140.82/141.23 Done
% 140.82/141.23
% 140.82/141.23 Resimplifying clauses:
% 140.82/141.23 Done
% 140.82/141.23
% 140.82/141.23
% 140.82/141.23 Intermediate Status:
% 140.82/141.23 Generated: 107717
% 140.82/141.23 Kept: 20801
% 140.82/141.23 Inuse: 853
% 140.82/141.23 Deleted: 4047
% 140.82/141.23 Deletedinuse: 182
% 140.82/141.23
% 140.82/141.23 Resimplifying inuse:
% 140.82/141.23 Done
% 140.82/141.23
% 140.82/141.23 Resimplifying inuse:
% 140.82/141.23 Done
% 140.82/141.23
% 140.82/141.23
% 140.82/141.23 Intermediate Status:
% 140.82/141.23 Generated: 117193
% 140.82/141.23 Kept: 22850
% 140.82/141.23 Inuse: 918
% 140.82/141.23 Deleted: 4048
% 140.82/141.23 Deletedinuse: 183
% 140.82/141.23
% 140.82/141.23 Resimplifying inuse:
% 140.82/141.23 Done
% 140.82/141.23
% 140.82/141.23 Resimplifying inuse:
% 140.82/141.23 Done
% 140.82/141.23
% 140.82/141.23
% 140.82/141.23 Intermediate Status:
% 140.82/141.23 Generated: 148819
% 140.82/141.23 Kept: 24865
% 140.82/141.23 Inuse: 937
% 140.82/141.23 Deleted: 4051
% 140.82/141.23 Deletedinuse: 186
% 140.82/141.23
% 140.82/141.23 Resimplifying inuse:
% 140.82/141.23 Done
% 140.82/141.23
% 140.82/141.23 Resimplifying inuse:
% 140.82/141.23 Done
% 140.82/141.23
% 140.82/141.23
% 140.82/141.23 Intermediate Status:
% 140.82/141.23 Generated: 164594
% 140.82/141.23 Kept: 26932
% 140.82/141.23 Inuse: 987
% 140.82/141.23 Deleted: 4055
% 140.82/141.23 Deletedinuse: 189
% 140.82/141.23
% 140.82/141.23 Resimplifying inuse:
% 140.82/141.23 Done
% 140.82/141.23
% 140.82/141.23 Resimplifying inuse:
% 140.82/141.23 Done
% 140.82/141.23
% 140.82/141.23
% 140.82/141.23 Intermediate Status:
% 140.82/141.23 Generated: 181383
% 140.82/141.23 Kept: 28938
% 140.82/141.23 Inuse: 1053
% 140.82/141.23 Deleted: 4057
% 140.82/141.23 Deletedinuse: 191
% 140.82/141.23
% 140.82/141.23 Resimplifying inuse:
% 140.82/141.23 Done
% 140.82/141.23
% 140.82/141.23
% 140.82/141.23 Intermediate Status:
% 140.82/141.23 Generated: 192190
% 140.82/141.23 Kept: 31215
% 140.82/141.23 Inuse: 1082
% 140.82/141.23 Deleted: 4060
% 140.82/141.23 Deletedinuse: 194
% 140.82/141.23
% 140.82/141.23 Resimplifying inuse:
% 140.82/141.23 Done
% 140.82/141.23
% 140.82/141.23
% 140.82/141.23 Intermediate Status:
% 140.82/141.23 Generated: 205170
% 140.82/141.23 Kept: 33922
% 140.82/141.23 Inuse: 1126
% 140.82/141.23 Deleted: 4061
% 140.82/141.23 Deletedinuse: 194
% 140.82/141.23
% 140.82/141.23 Resimplifying inuse:
% 140.82/141.23 Done
% 140.82/141.23
% 140.82/141.23
% 140.82/141.23 Intermediate Status:
% 140.82/141.23 Generated: 213769
% 140.82/141.23 Kept: 35986
% 140.82/141.23 Inuse: 1136
% 140.82/141.23 Deleted: 4062
% 140.82/141.23 Deletedinuse: 195
% 140.82/141.23
% 140.82/141.23 Resimplifying inuse:
% 140.82/141.23 Done
% 140.82/141.23
% 140.82/141.23
% 140.82/141.23 Intermediate Status:
% 140.82/141.23 Generated: 222082
% 140.82/141.23 Kept: 38038
% 140.82/141.23 Inuse: 1144
% 140.82/141.23 Deleted: 4064
% 140.82/141.23 Deletedinuse: 195
% 140.82/141.23
% 140.82/141.23 Resimplifying inuse:
% 140.82/141.23 Done
% 140.82/141.23
% 140.82/141.23 Resimplifying inuse:
% 140.82/141.23 Done
% 140.82/141.23
% 140.82/141.23
% 140.82/141.23 Intermediate Status:
% 140.82/141.23 Generated: 233916
% 140.82/141.23 Kept: 40191
% 140.82/141.23 Inuse: 1198
% 140.82/141.23 Deleted: 4068
% 140.82/141.23 Deletedinuse: 198
% 140.82/141.23
% 140.82/141.23 Resimplifying inuse:
% 140.82/141.23 Done
% 140.82/141.23
% 140.82/141.23 Resimplifying clauses:
% 140.82/141.23 Done
% 140.82/141.23
% 140.82/141.23 Resimplifying inuse:
% 140.82/141.23 Done
% 140.82/141.23
% 140.82/141.23
% 140.82/141.23 Intermediate Status:
% 140.82/141.23 Generated: 277348
% 140.82/141.23 Kept: 42202
% 140.82/141.23 Inuse: 1246
% 140.82/141.23 Deleted: 4492
% 140.82/141.23 Deletedinuse: 198
% 140.82/141.23
% 140.82/141.23 Resimplifying inuse:
% 295.75/296.19 Done
% 295.75/296.19
% 295.75/296.19 Resimplifying inuse:
% 295.75/296.19 Done
% 295.75/296.19
% 295.75/296.19
% 295.75/296.19 Intermediate Status:
% 295.75/296.19 Generated: 289606
% 295.75/296.19 Kept: 44221
% 295.75/296.19 Inuse: 1308
% 295.75/296.19 Deleted: 4498
% 295.75/296.19 Deletedinuse: 204
% 295.75/296.19
% 295.75/296.19 Resimplifying inuse:
% 295.75/296.19 Done
% 295.75/296.19
% 295.75/296.19 Resimplifying inuse:
% 295.75/296.19 Done
% 295.75/296.19
% 295.75/296.19
% 295.75/296.19 Intermediate Status:
% 295.75/296.19 Generated: 301573
% 295.75/296.19 Kept: 46430
% 295.75/296.19 Inuse: 1358
% 295.75/296.19 Deleted: 4503
% 295.75/296.19 Deletedinuse: 209
% 295.75/296.19
% 295.75/296.19 Resimplifying inuse:
% 295.75/296.19 Done
% 295.75/296.19
% 295.75/296.19 Resimplifying inuse:
% 295.75/296.19 Done
% 295.75/296.19
% 295.75/296.19
% 295.75/296.19 Intermediate Status:
% 295.75/296.19 Generated: 315108
% 295.75/296.19 Kept: 48466
% 295.75/296.19 Inuse: 1398
% 295.75/296.19 Deleted: 4503
% 295.75/296.19 Deletedinuse: 209
% 295.75/296.19
% 295.75/296.19 Resimplifying inuse:
% 295.75/296.19 Done
% 295.75/296.19
% 295.75/296.19
% 295.75/296.19 Intermediate Status:
% 295.75/296.19 Generated: 329148
% 295.75/296.19 Kept: 51497
% 295.75/296.19 Inuse: 1418
% 295.75/296.19 Deleted: 4503
% 295.75/296.19 Deletedinuse: 209
% 295.75/296.19
% 295.75/296.19 Resimplifying inuse:
% 295.75/296.19 Done
% 295.75/296.19
% 295.75/296.19
% 295.75/296.19 Intermediate Status:
% 295.75/296.19 Generated: 358047
% 295.75/296.19 Kept: 56007
% 295.75/296.19 Inuse: 1423
% 295.75/296.19 Deleted: 4503
% 295.75/296.19 Deletedinuse: 209
% 295.75/296.19
% 295.75/296.19 Resimplifying inuse:
% 295.75/296.19 Done
% 295.75/296.19
% 295.75/296.19
% 295.75/296.19 Intermediate Status:
% 295.75/296.19 Generated: 388119
% 295.75/296.19 Kept: 60561
% 295.75/296.19 Inuse: 1428
% 295.75/296.19 Deleted: 4503
% 295.75/296.19 Deletedinuse: 209
% 295.75/296.19
% 295.75/296.19 Resimplifying inuse:
% 295.75/296.19 Done
% 295.75/296.19
% 295.75/296.19 Resimplifying clauses:
% 295.75/296.19 Done
% 295.75/296.19
% 295.75/296.19
% 295.75/296.19 Intermediate Status:
% 295.75/296.19 Generated: 517718
% 295.75/296.19 Kept: 67558
% 295.75/296.19 Inuse: 1433
% 295.75/296.19 Deleted: 5043
% 295.75/296.19 Deletedinuse: 209
% 295.75/296.19
% 295.75/296.19 Resimplifying inuse:
% 295.75/296.19 Done
% 295.75/296.19
% 295.75/296.19
% 295.75/296.19 Intermediate Status:
% 295.75/296.19 Generated: 649242
% 295.75/296.19 Kept: 74476
% 295.75/296.19 Inuse: 1438
% 295.75/296.19 Deleted: 5043
% 295.75/296.19 Deletedinuse: 209
% 295.75/296.19
% 295.75/296.19 Resimplifying inuse:
% 295.75/296.19 Done
% 295.75/296.19
% 295.75/296.19
% 295.75/296.19 Intermediate Status:
% 295.75/296.19 Generated: 666987
% 295.75/296.19 Kept: 77206
% 295.75/296.19 Inuse: 1443
% 295.75/296.19 Deleted: 5043
% 295.75/296.19 Deletedinuse: 209
% 295.75/296.19
% 295.75/296.19 Resimplifying inuse:
% 295.75/296.19 Done
% 295.75/296.19
% 295.75/296.19
% 295.75/296.19 Intermediate Status:
% 295.75/296.19 Generated: 735877
% 295.75/296.19 Kept: 82265
% 295.75/296.19 Inuse: 1448
% 295.75/296.19 Deleted: 5043
% 295.75/296.19 Deletedinuse: 209
% 295.75/296.19
% 295.75/296.19 Resimplifying inuse:
% 295.75/296.19 Done
% 295.75/296.19
% 295.75/296.19 Resimplifying clauses:
% 295.75/296.19 Done
% 295.75/296.19
% 295.75/296.19
% 295.75/296.19 Intermediate Status:
% 295.75/296.19 Generated: 783120
% 295.75/296.19 Kept: 87227
% 295.75/296.19 Inuse: 1453
% 295.75/296.19 Deleted: 5119
% 295.75/296.19 Deletedinuse: 209
% 295.75/296.19
% 295.75/296.19 Resimplifying inuse:
% 295.75/296.19 Done
% 295.75/296.19
% 295.75/296.19
% 295.75/296.19 Intermediate Status:
% 295.75/296.19 Generated: 1175340
% 295.75/296.19 Kept: 96565
% 295.75/296.19 Inuse: 1458
% 295.75/296.19 Deleted: 5119
% 295.75/296.19 Deletedinuse: 209
% 295.75/296.19
% 295.75/296.19 Resimplifying inuse:
% 295.75/296.19 Done
% 295.75/296.19
% 295.75/296.19
% 295.75/296.19 Intermediate Status:
% 295.75/296.19 Generated: 1360217
% 295.75/296.19 Kept: 103879
% 295.75/296.19 Inuse: 1463
% 295.75/296.19 Deleted: 5119
% 295.75/296.19 Deletedinuse: 209
% 295.75/296.19
% 295.75/296.19 Resimplifying inuse:
% 295.75/296.19 Done
% 295.75/296.19
% 295.75/296.19 Resimplifying clauses:
% 295.75/296.19 Done
% 295.75/296.19
% 295.75/296.19
% 295.75/296.19 Intermediate Status:
% 295.75/296.19 Generated: 1555150
% 295.75/296.19 Kept: 111295
% 295.75/296.19 Inuse: 1468
% 295.75/296.19 Deleted: 5119
% 295.75/296.19 Deletedinuse: 209
% 295.75/296.19
% 295.75/296.19 Resimplifying inuse:
% 295.75/296.19 Done
% 295.75/296.19
% 295.75/296.19
% 295.75/296.19 Intermediate Status:
% 295.75/296.19 Generated: 1581405
% 295.75/296.19 Kept: 114171
% 295.75/296.19 Inuse: 1473
% 295.75/296.19 Deleted: 5119
% 295.75/296.19 Deletedinuse: 209
% 295.75/296.19
% 295.75/296.19 Resimplifying inuse:
% 295.75/296.19 Done
% 295.75/296.19
% 295.75/296.19
% 295.75/296.19 Intermediate Status:
% 295.75/296.19 Generated: 1626805
% 295.75/296.19 Kept: 117958
% 295.75/296.19 Inuse: 1483
% 295.75/296.19 Deleted: 5119
% 295.75/296.19 Deletedinuse: 209
% 295.75/296.19
% 295.75/296.19 Resimplifying inuse:
% 295.75/296.19 Done
% 295.75/296.19
% 295.75/296.19
% 295.75/296.19 Intermediate Status:
% 295.75/296.19 Generated: 1864811
% 295.75/296.19 Kept: 126689
% 295.75/296.19 Inuse: 1493
% 295.75/296.19 Deleted: 5119
% 295.75/296.19 Deletedinuse: 209
% 295.75/296.19
% 295.75/296.19 Resimplifying inuse:
% 295.75/296.19 Done
% 295.75/296.19
% 295.75/296.19 Resimplifying clauses:
% 295.75/296.19 Done
% 295.75/296.19
% 295.75/296.19
% 295.75/296.19 Intermediate Status:
% 295.75/296.19 Generated: 1897170
% 295.75/296.19 Kept: 129903
% 295.75/296.19 Inuse: 1498
% 295.75/296.19 Deleted: 5152
% 295.75/296.19 Deletedinuse: 209
% 295.75/296.19
% 295.75/296.19 Resimplifying inuse:
% 295.75/296.19 Done
% 295.75/296.19
% 295.75/296.19
% 295.75/296.19 Intermediate Status:
% 295.75/296.19 Generated: 2116465
% 295.75/296.19 Kept: 137918
% 295.75/296.19 Inuse: 1503
% 295.75/296.19 Deleted: 5152
% 295.75/296.19 Deletedinuse: 209
% 295.75/296.19
% 295.75/296.19 Resimplifying inuse:
% 295.75/296.19 Done
% 295.75/296.19
% 295.75/296.19
% 295.75/296.19 Intermediate Status:
% 295.75/296.19 Generated: 2352707
% 295.75/296.19 Kept: 146395
% 295.75/296.19 Inuse: 1508
% 295.75/296.19 Deleted: 5152
% 295.75/296.19 Deletedinuse: 209
% 295.75/296.19
% 295.75/296.19 Resimplifying inuse:
% 295.75/296.19 Done
% 295.75/296.19
% 295.75/296.19 Resimplifying clauses:
% 295.75/296.19 Done
% 295.75/296.19
% 295.75/296.19
% 295.75/296.19 Intermediate Status:
% 295.75/296.19 Generated: 2399924
% 295.75/296.19 Kept: 150363
% 295.75/296.19 Inuse: 1513
% 295.75/296.19 Deleted: 5202
% 295.75/296.19 Deletedinuse: 210
% 295.75/296.19
% 295.75/296.19 Resimplifying inuse:
% 295.75/296.19 Done
% 295.75/296.19
% 295.75/296.19
% 295.75/296.19 Intermediate Status:
% 295.75/296.19 Generated: 2536317
% 295.75/296.19 Kept: 156663
% 295.75/296.19 Inuse: 1518
% 295.75/296.19 Deleted: 5202
% 295.75/296.19 Deletedinuse: 210
% 295.75/296.19
% 295.75/296.19 Resimplifying inuse:
% 295.75/296.19 Done
% 295.75/296.19
% 295.75/296.19
% 295.75/296.19 Intermediate Status:
% 295.75/296.19 Generated: 2639809
% 295.75/296.19 Kept: 162831
% 295.75/296.19 Inuse: 1523
% 295.75/296.19 Deleted: 5202
% 295.75/296.19 Deletedinuse: 210
% 295.75/296.19
% 295.75/296.19 Resimplifying inuse:
% 295.75/296.19 Done
% 295.75/296.19
% 295.75/296.19
% 295.75/296.19 Intermediate Status:
% 295.75/296.19 Generated: 2926701
% 295.75/296.19 Kept: 171600
% 295.75/296.19 Inuse: 1528
% 295.75/296.19 Deleted: 5202
% 295.75/296.19 Deletedinuse: 210
% 295.75/296.19
% 295.75/296.19 Resimplifying inuse:
% 295.75/296.19 Done
% 295.75/296.19
% 295.75/296.19 Resimplifying clauses:
% 295.75/296.19 Done
% 295.75/296.19
% 295.75/296.19
% 295.75/296.19 Intermediate Status:
% 295.75/296.19 Generated: 3034780
% 295.75/296.19 Kept: 177836
% 295.75/296.19 Inuse: 1533
% 295.75/296.19 Deleted: 5217
% 295.75/296.19 Deletedinuse: 210
% 295.75/296.19
% 295.75/296.19 Resimplifying inuse:
% 295.75/296.19 Done
% 295.75/296.19
% 295.75/296.19
% 295.75/296.19 Intermediate Status:
% 295.75/296.19 Generated: 3063316
% 295.75/296.19 Kept: 180920
% 295.75/296.19 Inuse: 1538
% 295.75/296.19 Deleted: 5217
% 295.75/296.19 Deletedinuse: 210
% 295.75/296.19
% 295.75/296.19 ResimpliCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------